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25 // 25 //
26 // 26 //
27 // 27 //
28 // Author: Alexander Bagulya 28 // Author: Alexander Bagulya
29 // 11 March 2012 29 // 11 March 2012
30 // on the base of G4LivermoreComptonMo 30 // on the base of G4LivermoreComptonModel
31 // 31 //
32 // History: 32 // History:
33 // -------- 33 // --------
34 // 18 Apr 2009 V Ivanchenko Cleanup initiali 34 // 18 Apr 2009 V Ivanchenko Cleanup initialisation and generation of secondaries:
35 // - apply internal high-ener << 35 // - apply internal high-energy limit only in constructor
36 // - do not apply low-energy 36 // - do not apply low-energy limit (default is 0)
37 // - remove GetMeanFreePath m 37 // - remove GetMeanFreePath method and table
38 // - added protection against << 38 // - added protection against numerical problem in energy sampling
39 // - use G4ElementSelector 39 // - use G4ElementSelector
40 // 26 Dec 2010 V Ivanchenko Load data tables 40 // 26 Dec 2010 V Ivanchenko Load data tables only once to avoid memory leak
41 41
42 #include "G4LivermoreComptonModel.hh" 42 #include "G4LivermoreComptonModel.hh"
43 << 43 #include "G4PhysicalConstants.hh"
>> 44 #include "G4SystemOfUnits.hh"
>> 45 #include "G4Electron.hh"
>> 46 #include "G4ParticleChangeForGamma.hh"
>> 47 #include "G4LossTableManager.hh"
>> 48 #include "G4VAtomDeexcitation.hh"
44 #include "G4AtomicShell.hh" 49 #include "G4AtomicShell.hh"
>> 50 #include "G4Gamma.hh"
45 #include "G4AutoLock.hh" 51 #include "G4AutoLock.hh"
>> 52 #include "G4ShellData.hh"
46 #include "G4DopplerProfile.hh" 53 #include "G4DopplerProfile.hh"
47 #include "G4Electron.hh" <<
48 #include "G4Exp.hh" <<
49 #include "G4Log.hh" 54 #include "G4Log.hh"
50 #include "G4LossTableManager.hh" << 55 #include "G4Exp.hh"
51 #include "G4ParticleChangeForGamma.hh" <<
52 #include "G4PhysicalConstants.hh" <<
53 #include "G4ShellData.hh" <<
54 #include "G4SystemOfUnits.hh" <<
55 #include "G4VAtomDeexcitation.hh" <<
56 56
57 //....oooOO0OOooo........oooOO0OOooo........oo 57 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
58 58
59 namespace << 59 namespace { G4Mutex LivermoreComptonModelMutex = G4MUTEX_INITIALIZER; }
60 { <<
61 G4Mutex LivermoreComptonModelMutex = G4MUTEX_I <<
62 } <<
63 using namespace std; 60 using namespace std;
64 61
65 G4PhysicsFreeVector* G4LivermoreComptonModel:: 62 G4PhysicsFreeVector* G4LivermoreComptonModel::data[] = {nullptr};
66 G4ShellData* G4LivermoreComptonModel::shellDat << 63 G4ShellData* G4LivermoreComptonModel::shellData = nullptr;
67 G4DopplerProfile* G4LivermoreComptonModel::pro << 64 G4DopplerProfile* G4LivermoreComptonModel::profileData = nullptr;
68 G4String G4LivermoreComptonModel::gDataDirecto <<
69 65
70 static const G4double ln10 = G4Log(10.); 66 static const G4double ln10 = G4Log(10.);
71 67
72 G4LivermoreComptonModel::G4LivermoreComptonMod << 68 G4LivermoreComptonModel::G4LivermoreComptonModel(const G4ParticleDefinition*,
73 : G4VEmModel(nam) << 69 const G4String& nam)
74 { << 70 : G4VEmModel(nam),maxZ(100),isInitialised(false)
75 fParticleChange = nullptr; << 71 {
76 verboseLevel = 1; << 72 verboseLevel=1 ;
77 // Verbosity scale: 73 // Verbosity scale:
78 // 0 = nothing << 74 // 0 = nothing
79 // 1 = warning for energy non-conservation << 75 // 1 = warning for energy non-conservation
80 // 2 = details of energy budget 76 // 2 = details of energy budget
81 // 3 = calculation of cross sections, file o 77 // 3 = calculation of cross sections, file openings, sampling of atoms
82 // 4 = entering in methods 78 // 4 = entering in methods
83 79
84 if (verboseLevel > 1) { << 80 if( verboseLevel>1 ) {
85 G4cout << "Livermore Compton model is cons 81 G4cout << "Livermore Compton model is constructed " << G4endl;
86 } 82 }
87 83
88 // Mark this model as "applicable" for atomi << 84 //Mark this model as "applicable" for atomic deexcitation
89 SetDeexcitationFlag(true); 85 SetDeexcitationFlag(true);
90 86
91 fParticleChange = nullptr; << 87 fParticleChange = 0;
92 fAtomDeexcitation = nullptr; << 88 fAtomDeexcitation = 0;
93 } 89 }
94 90
95 //....oooOO0OOooo........oooOO0OOooo........oo 91 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
96 92
97 G4LivermoreComptonModel::~G4LivermoreComptonMo 93 G4LivermoreComptonModel::~G4LivermoreComptonModel()
98 { 94 {
99 if (IsMaster()) { << 95 if(IsMaster())
>> 96 {
100 delete shellData; 97 delete shellData;
101 shellData = nullptr; 98 shellData = nullptr;
102 delete profileData; 99 delete profileData;
103 profileData = nullptr; 100 profileData = nullptr;
104 for (G4int i = 0; i <= maxZ; ++i) { << 101 for(G4int i = 0; i <= maxZ; ++i)
105 if (data[i]) { << 102 {
>> 103 if(data[i])
>> 104 {
106 delete data[i]; 105 delete data[i];
107 data[i] = nullptr; 106 data[i] = nullptr;
108 } 107 }
109 } 108 }
110 } 109 }
111 } 110 }
112 111
113 //....oooOO0OOooo........oooOO0OOooo........oo 112 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
114 113
115 void G4LivermoreComptonModel::Initialise(const 114 void G4LivermoreComptonModel::Initialise(const G4ParticleDefinition* particle,
116 const << 115 const G4DataVector& cuts)
117 { 116 {
118 if (verboseLevel > 1) { 117 if (verboseLevel > 1) {
119 G4cout << "Calling G4LivermoreComptonModel 118 G4cout << "Calling G4LivermoreComptonModel::Initialise()" << G4endl;
120 } 119 }
121 120
122 // Initialise element selector << 121 // Initialise element selector
123 if (IsMaster()) { << 122 if(IsMaster()) {
124 // Initialise element selector <<
125 InitialiseElementSelectors(particle, cuts) <<
126 <<
127 // Access to elements 123 // Access to elements
>> 124 const char* path = G4FindDataDir("G4LEDATA");
>> 125
128 const G4ElementTable* elemTable = G4Elemen 126 const G4ElementTable* elemTable = G4Element::GetElementTable();
129 size_t numElems = (*elemTable).size(); << 127 size_t numElems = (*elemTable).size();
130 for (size_t ie = 0; ie < numElems; ++ie) { << 128 for(size_t ie = 0; ie < numElems; ++ie)
>> 129 {
131 const G4Element* elem = (*elemTable)[ie] 130 const G4Element* elem = (*elemTable)[ie];
132 const G4int Z = std::min(maxZ, elem->Get << 131 const G4int Z = std::min(maxZ, elem->GetZasInt());
133 if (data[Z] == nullptr) { << 132
134 ReadData(Z); << 133 if(data[Z] == nullptr)
>> 134 {
>> 135 ReadData(Z, path);
135 } 136 }
136 } 137 }
137 138
138 // For Doppler broadening 139 // For Doppler broadening
139 if (shellData == nullptr) { << 140 if(shellData == nullptr) {
140 shellData = new G4ShellData(); << 141 shellData = new G4ShellData();
141 shellData->SetOccupancyData(); 142 shellData->SetOccupancyData();
142 G4String file = "/doppler/shell-doppler" 143 G4String file = "/doppler/shell-doppler";
143 shellData->LoadData(file); 144 shellData->LoadData(file);
144 } 145 }
145 if (profileData == nullptr) { << 146 if(profileData == nullptr) { profileData = new G4DopplerProfile(); }
146 profileData = new G4DopplerProfile(); << 147
147 } << 148 InitialiseElementSelectors(particle, cuts);
148 } 149 }
149 150
150 if (verboseLevel > 2) { 151 if (verboseLevel > 2) {
151 G4cout << "Loaded cross section files" << 152 G4cout << "Loaded cross section files" << G4endl;
152 } 153 }
153 << 154
154 if (verboseLevel > 1) { << 155 if( verboseLevel>1 ) {
155 G4cout << "G4LivermoreComptonModel is init 156 G4cout << "G4LivermoreComptonModel is initialized " << G4endl
156 << "Energy range: " << LowEnergyLim << 157 << "Energy range: "
157 << " GeV" << G4endl; << 158 << LowEnergyLimit() / eV << " eV - "
158 } << 159 << HighEnergyLimit() / GeV << " GeV"
159 // << 160 << G4endl;
160 if (isInitialised) { <<
161 return; <<
162 } 161 }
>> 162 //
>> 163 if(isInitialised) { return; }
163 164
164 fParticleChange = GetParticleChangeForGamma( 165 fParticleChange = GetParticleChangeForGamma();
165 fAtomDeexcitation = G4LossTableManager::Inst << 166 fAtomDeexcitation = G4LossTableManager::Instance()->AtomDeexcitation();
166 isInitialised = true; 167 isInitialised = true;
167 } 168 }
168 169
169 //....oooOO0OOooo........oooOO0OOooo........oo 170 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
170 171
171 void G4LivermoreComptonModel::InitialiseLocal( << 172 void G4LivermoreComptonModel::InitialiseLocal(const G4ParticleDefinition*,
>> 173 G4VEmModel* masterModel)
172 { 174 {
173 SetElementSelectors(masterModel->GetElementS 175 SetElementSelectors(masterModel->GetElementSelectors());
174 } 176 }
175 177
176 //....oooOO0OOooo........oooOO0OOooo........oo 178 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
177 179
178 const G4String& G4LivermoreComptonModel::FindD << 180 void G4LivermoreComptonModel::ReadData(size_t Z, const char* path)
179 { 181 {
180 // no check in this method - environment var << 182 if (verboseLevel > 1)
181 if (gDataDirectory.empty()) { << 183 {
182 auto param = G4EmParameters::Instance(); << 184 G4cout << "G4LivermoreComptonModel::ReadData()"
183 std::ostringstream ost; << 185 << G4endl;
184 if (param->LivermoreDataDir() == "livermor << 186 }
185 ost << param->GetDirLEDATA() << "/liverm << 187 if(data[Z] != nullptr) { return; }
186 } << 188 const char* datadir = path;
187 else { << 189 if(datadir == nullptr)
188 ost << param->GetDirLEDATA() << "/epics2 << 190 {
>> 191 datadir = G4FindDataDir("G4LEDATA");
>> 192 if(datadir == nullptr)
>> 193 {
>> 194 G4Exception("G4LivermoreComptonModel::ReadData()",
>> 195 "em0006",FatalException,
>> 196 "Environment variable G4LEDATA not defined");
>> 197 return;
189 } 198 }
190 gDataDirectory = ost.str(); <<
191 } 199 }
192 return gDataDirectory; << 200
193 } <<
194 <<
195 //....oooOO0OOooo........oooOO0OOooo........oo <<
196 <<
197 void G4LivermoreComptonModel::ReadData(const G <<
198 { <<
199 if (verboseLevel > 1) { <<
200 G4cout << "G4LivermoreComptonModel::ReadDa <<
201 } <<
202 const G4int Z = std::min(ZZ, maxZ); <<
203 <<
204 if (data[Z] != nullptr) { <<
205 return; <<
206 } <<
207 <<
208 data[Z] = new G4PhysicsFreeVector(); 201 data[Z] = new G4PhysicsFreeVector();
209 << 202
210 std::ostringstream ost; 203 std::ostringstream ost;
211 ost << FindDirectoryPath() << "ce-cs-" << Z << 204 if(G4EmParameters::Instance()->LivermoreDataDir() == "livermore"){
>> 205 ost << datadir << "/livermore/comp/ce-cs-" << Z <<".dat";
>> 206 }else{
>> 207 ost << datadir << "/epics2017/comp/ce-cs-" << Z <<".dat";
>> 208 }
212 209
213 std::ifstream fin(ost.str().c_str()); 210 std::ifstream fin(ost.str().c_str());
214 << 211
215 if (!fin.is_open()) { << 212 if( !fin.is_open())
216 G4ExceptionDescription ed; << 213 {
217 ed << "G4LivermoreComptonModel data file < << 214 G4ExceptionDescription ed;
218 << G4endl; << 215 ed << "G4LivermoreComptonModel data file <" << ost.str().c_str()
219 G4Exception("G4LivermoreComptonModel::Read << 216 << "> is not opened!" << G4endl;
220 "G4LEDATA version should be G4 << 217 G4Exception("G4LivermoreComptonModel::ReadData()",
221 return; << 218 "em0003",FatalException,
222 } << 219 ed,"G4LEDATA version should be G4EMLOW8.0 or later");
223 else { << 220 return;
224 if (verboseLevel > 3) { << 221 } else {
225 G4cout << "File " << ost.str() << " is o << 222 if(verboseLevel > 3) {
226 } << 223 G4cout << "File " << ost.str()
227 data[Z]->Retrieve(fin, true); << 224 << " is opened by G4LivermoreComptonModel" << G4endl;
228 data[Z]->ScaleVector(MeV, MeV * barn); << 225 }
229 } << 226 data[Z]->Retrieve(fin, true);
>> 227 data[Z]->ScaleVector(MeV, MeV*barn);
>> 228 }
230 fin.close(); 229 fin.close();
231 } 230 }
232 231
233 //....oooOO0OOooo........oooOO0OOooo........oo 232 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
234 233
235 G4double G4LivermoreComptonModel::ComputeCross << 234 G4double
236 << 235 G4LivermoreComptonModel::ComputeCrossSectionPerAtom(const G4ParticleDefinition*,
237 << 236 G4double GammaEnergy,
>> 237 G4double Z, G4double,
>> 238 G4double, G4double)
238 { 239 {
239 if (verboseLevel > 3) { 240 if (verboseLevel > 3) {
240 G4cout << "G4LivermoreComptonModel::Comput << 241 G4cout << "G4LivermoreComptonModel::ComputeCrossSectionPerAtom()"
>> 242 << G4endl;
241 } 243 }
242 G4double cs = 0.0; << 244 G4double cs = 0.0;
243 245
244 if (GammaEnergy < LowEnergyLimit()) { << 246 if (GammaEnergy < LowEnergyLimit()) { return 0.0; }
245 return 0.0; <<
246 } <<
247 247
248 G4int intZ = G4lrint(Z); 248 G4int intZ = G4lrint(Z);
249 if (intZ < 1 || intZ > maxZ) { << 249 if(intZ < 1 || intZ > maxZ) { return cs; }
250 return cs; <<
251 } <<
252 250
253 G4PhysicsFreeVector* pv = data[intZ]; 251 G4PhysicsFreeVector* pv = data[intZ];
254 252
255 // if element was not initialised 253 // if element was not initialised
256 // do initialisation safely for MT mode 254 // do initialisation safely for MT mode
257 if (pv == nullptr) { << 255 if(pv == nullptr)
258 InitialiseForElement(nullptr, intZ); << 256 {
259 pv = data[intZ]; << 257 InitialiseForElement(0, intZ);
260 if (pv == nullptr) { << 258 pv = data[intZ];
261 return cs; << 259 if(pv == nullptr) { return cs; }
262 } 260 }
263 } <<
264 261
265 auto n = G4int(pv->GetVectorLength() - 1); << 262 G4int n = G4int(pv->GetVectorLength() - 1);
266 G4double e1 = pv->Energy(0); 263 G4double e1 = pv->Energy(0);
267 G4double e2 = pv->Energy(n); 264 G4double e2 = pv->Energy(n);
268 265
269 if (GammaEnergy <= e1) { << 266 if(GammaEnergy <= e1) { cs = GammaEnergy/(e1*e1)*pv->Value(e1); }
270 cs = GammaEnergy / (e1 * e1) * pv->Value(e << 267 else if(GammaEnergy <= e2) { cs = pv->Value(GammaEnergy)/GammaEnergy; }
271 } << 268 else if(GammaEnergy > e2) { cs = pv->Value(e2)/GammaEnergy; }
272 else if (GammaEnergy <= e2) { << 269
273 cs = pv->Value(GammaEnergy) / GammaEnergy; <<
274 } <<
275 else if (GammaEnergy > e2) { <<
276 cs = pv->Value(e2) / GammaEnergy; <<
277 } <<
278 <<
279 return cs; 270 return cs;
280 } 271 }
281 272
282 //....oooOO0OOooo........oooOO0OOooo........oo 273 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
283 274
284 void G4LivermoreComptonModel::SampleSecondarie << 275
285 << 276 void G4LivermoreComptonModel::SampleSecondaries(
286 << 277 std::vector<G4DynamicParticle*>* fvect,
287 << 278 const G4MaterialCutsCouple* couple,
>> 279 const G4DynamicParticle* aDynamicGamma,
>> 280 G4double, G4double)
288 { 281 {
289 // The scattered gamma energy is sampled acc << 282
290 // formula then accepted or rejected dependi << 283 // The scattered gamma energy is sampled according to Klein - Nishina
>> 284 // formula then accepted or rejected depending on the Scattering Function
291 // multiplied by factor from Klein - Nishina 285 // multiplied by factor from Klein - Nishina formula.
292 // Expression of the angular distribution as 286 // Expression of the angular distribution as Klein Nishina
293 // angular and energy distribution and Scatt 287 // angular and energy distribution and Scattering fuctions is taken from
294 // D. E. Cullen "A simple model of photon tr 288 // D. E. Cullen "A simple model of photon transport" Nucl. Instr. Meth.
295 // Phys. Res. B 101 (1995). Method of sampli 289 // Phys. Res. B 101 (1995). Method of sampling with form factors is different
296 // data are interpolated while in the articl 290 // data are interpolated while in the article they are fitted.
297 // Reference to the article is from J. Stepa 291 // Reference to the article is from J. Stepanek New Photon, Positron
298 // and Electron Interaction Data for GEANT i 292 // and Electron Interaction Data for GEANT in Energy Range from 1 eV to 10
299 // TeV (draft). 293 // TeV (draft).
300 // The random number techniques of Butcher & 294 // The random number techniques of Butcher & Messel are used
301 // (Nucl Phys 20(1960),15). 295 // (Nucl Phys 20(1960),15).
302 296
303 G4double photonEnergy0 = aDynamicGamma->GetK 297 G4double photonEnergy0 = aDynamicGamma->GetKineticEnergy();
304 298
305 if (verboseLevel > 3) { 299 if (verboseLevel > 3) {
306 G4cout << "G4LivermoreComptonModel::Sample << 300 G4cout << "G4LivermoreComptonModel::SampleSecondaries() E(MeV)= "
307 << " in " << couple->GetMaterial()- << 301 << photonEnergy0/MeV << " in " << couple->GetMaterial()->GetName()
>> 302 << G4endl;
308 } 303 }
309 304
310 // do nothing below the threshold 305 // do nothing below the threshold
311 // should never get here because the XS is z 306 // should never get here because the XS is zero below the limit
312 if (photonEnergy0 < LowEnergyLimit()) return << 307 if (photonEnergy0 < LowEnergyLimit())
>> 308 return ;
313 309
314 G4double e0m = photonEnergy0 / electron_mass << 310 G4double e0m = photonEnergy0 / electron_mass_c2 ;
315 G4ParticleMomentum photonDirection0 = aDynam 311 G4ParticleMomentum photonDirection0 = aDynamicGamma->GetMomentumDirection();
316 312
317 // Select randomly one element in the curren 313 // Select randomly one element in the current material
318 const G4ParticleDefinition* particle = aDyna << 314 const G4ParticleDefinition* particle = aDynamicGamma->GetDefinition();
319 const G4Element* elm = SelectRandomAtom(coup << 315 const G4Element* elm = SelectRandomAtom(couple,particle,photonEnergy0);
320 316
321 G4int Z = elm->GetZasInt(); 317 G4int Z = elm->GetZasInt();
322 318
323 G4double epsilon0Local = 1. / (1. + 2. * e0m 319 G4double epsilon0Local = 1. / (1. + 2. * e0m);
324 G4double epsilon0Sq = epsilon0Local * epsilo 320 G4double epsilon0Sq = epsilon0Local * epsilon0Local;
325 G4double alpha1 = -G4Log(epsilon0Local); 321 G4double alpha1 = -G4Log(epsilon0Local);
326 G4double alpha2 = 0.5 * (1. - epsilon0Sq); 322 G4double alpha2 = 0.5 * (1. - epsilon0Sq);
327 323
328 G4double wlPhoton = h_Planck * c_light / pho << 324 G4double wlPhoton = h_Planck*c_light/photonEnergy0;
329 325
330 // Sample the energy of the scattered photon 326 // Sample the energy of the scattered photon
331 G4double epsilon; 327 G4double epsilon;
332 G4double epsilonSq; 328 G4double epsilonSq;
333 G4double oneCosT; 329 G4double oneCosT;
334 G4double sinT2; 330 G4double sinT2;
335 G4double gReject; 331 G4double gReject;
336 332
337 if (verboseLevel > 3) { 333 if (verboseLevel > 3) {
338 G4cout << "Started loop to sample gamma en 334 G4cout << "Started loop to sample gamma energy" << G4endl;
339 } 335 }
340 << 336
341 do { 337 do {
342 if (alpha1 / (alpha1 + alpha2) > G4Uniform << 338 if ( alpha1/(alpha1+alpha2) > G4UniformRand())
343 epsilon = G4Exp(-alpha1 * G4UniformRand( << 339 {
344 epsilonSq = epsilon * epsilon; << 340 epsilon = G4Exp(-alpha1 * G4UniformRand());
345 } << 341 epsilonSq = epsilon * epsilon;
346 else { << 342 }
347 epsilonSq = epsilon0Sq + (1. - epsilon0S << 343 else
348 epsilon = std::sqrt(epsilonSq); << 344 {
349 } << 345 epsilonSq = epsilon0Sq + (1. - epsilon0Sq) * G4UniformRand();
350 << 346 epsilon = std::sqrt(epsilonSq);
351 oneCosT = (1. - epsilon) / (epsilon * e0m) << 347 }
352 sinT2 = oneCosT * (2. - oneCosT); <<
353 G4double x = std::sqrt(oneCosT / 2.) * cm <<
354 G4double scatteringFunction = ComputeScatt <<
355 gReject = (1. - epsilon * sinT2 / (1. + ep <<
356 348
357 } while (gReject < G4UniformRand() * Z); << 349 oneCosT = (1. - epsilon) / ( epsilon * e0m);
>> 350 sinT2 = oneCosT * (2. - oneCosT);
>> 351 G4double x = std::sqrt(oneCosT/2.) * cm / wlPhoton;
>> 352 G4double scatteringFunction = ComputeScatteringFunction(x, Z);
>> 353 gReject = (1. - epsilon * sinT2 / (1. + epsilonSq)) * scatteringFunction;
>> 354
>> 355 } while(gReject < G4UniformRand()*Z);
358 356
359 G4double cosTheta = 1. - oneCosT; 357 G4double cosTheta = 1. - oneCosT;
360 G4double sinTheta = std::sqrt(sinT2); << 358 G4double sinTheta = std::sqrt (sinT2);
361 G4double phi = twopi * G4UniformRand(); << 359 G4double phi = twopi * G4UniformRand() ;
362 G4double dirx = sinTheta * std::cos(phi); 360 G4double dirx = sinTheta * std::cos(phi);
363 G4double diry = sinTheta * std::sin(phi); 361 G4double diry = sinTheta * std::sin(phi);
364 G4double dirz = cosTheta; << 362 G4double dirz = cosTheta ;
365 363
366 // Doppler broadening - Method based on: 364 // Doppler broadening - Method based on:
367 // Y. Namito, S. Ban and H. Hirayama, << 365 // Y. Namito, S. Ban and H. Hirayama,
368 // "Implementation of the Doppler Broadening << 366 // "Implementation of the Doppler Broadening of a Compton-Scattered Photon
369 // into the EGS4 Code", NIM A 349, pp. 489-4 367 // into the EGS4 Code", NIM A 349, pp. 489-494, 1994
370 << 368
371 // Maximum number of sampling iterations 369 // Maximum number of sampling iterations
372 static G4int maxDopplerIterations = 1000; 370 static G4int maxDopplerIterations = 1000;
373 G4double bindingE = 0.; 371 G4double bindingE = 0.;
374 G4double photonEoriginal = epsilon * photonE 372 G4double photonEoriginal = epsilon * photonEnergy0;
375 G4double photonE = -1.; 373 G4double photonE = -1.;
376 G4int iteration = 0; 374 G4int iteration = 0;
377 G4double eMax = photonEnergy0; 375 G4double eMax = photonEnergy0;
378 376
379 G4int shellIdx = 0; 377 G4int shellIdx = 0;
380 378
381 if (verboseLevel > 3) { 379 if (verboseLevel > 3) {
382 G4cout << "Started loop to sample broading 380 G4cout << "Started loop to sample broading" << G4endl;
383 } 381 }
384 382
385 do { << 383 do
386 ++iteration; << 384 {
387 // Select shell based on shell occupancy << 385 ++iteration;
388 shellIdx = shellData->SelectRandomShell(Z) << 386 // Select shell based on shell occupancy
389 bindingE = shellData->BindingEnergy(Z, she << 387 shellIdx = shellData->SelectRandomShell(Z);
390 << 388 bindingE = shellData->BindingEnergy(Z,shellIdx);
391 if (verboseLevel > 3) { << 389
392 G4cout << "Shell ID= " << shellIdx << " << 390 if (verboseLevel > 3) {
393 } << 391 G4cout << "Shell ID= " << shellIdx
394 << 392 << " Ebind(keV)= " << bindingE/keV << G4endl;
395 eMax = photonEnergy0 - bindingE; <<
396 <<
397 // Randomly sample bound electron momentum <<
398 // (memento: the data set is in Atomic Uni <<
399 G4double pSample = profileData->RandomSele <<
400 if (verboseLevel > 3) { <<
401 G4cout << "pSample= " << pSample << G4en <<
402 } <<
403 // Rescale from atomic units <<
404 G4double pDoppler = pSample * fine_structu <<
405 G4double pDoppler2 = pDoppler * pDoppler; <<
406 G4double var2 = 1. + oneCosT * e0m; <<
407 G4double var3 = var2 * var2 - pDoppler2; <<
408 G4double var4 = var2 - pDoppler2 * cosThet <<
409 G4double var = var4 * var4 - var3 + pDoppl <<
410 if (var > 0.) { <<
411 G4double varSqrt = std::sqrt(var); <<
412 G4double scale = photonEnergy0 / var3; <<
413 // Random select either root <<
414 if (G4UniformRand() < 0.5) { <<
415 photonE = (var4 - varSqrt) * scale; <<
416 } 393 }
417 else { << 394
418 photonE = (var4 + varSqrt) * scale; << 395 eMax = photonEnergy0 - bindingE;
>> 396
>> 397 // Randomly sample bound electron momentum
>> 398 // (memento: the data set is in Atomic Units)
>> 399 G4double pSample = profileData->RandomSelectMomentum(Z,shellIdx);
>> 400 if (verboseLevel > 3) {
>> 401 G4cout << "pSample= " << pSample << G4endl;
419 } 402 }
420 } << 403 // Rescale from atomic units
421 else { << 404 G4double pDoppler = pSample * fine_structure_const;
422 photonE = -1.; << 405 G4double pDoppler2 = pDoppler * pDoppler;
423 } << 406 G4double var2 = 1. + oneCosT * e0m;
424 } while (iteration <= maxDopplerIterations & << 407 G4double var3 = var2*var2 - pDoppler2;
425 << 408 G4double var4 = var2 - pDoppler2 * cosTheta;
>> 409 G4double var = var4*var4 - var3 + pDoppler2 * var3;
>> 410 if (var > 0.)
>> 411 {
>> 412 G4double varSqrt = std::sqrt(var);
>> 413 G4double scale = photonEnergy0 / var3;
>> 414 // Random select either root
>> 415 if (G4UniformRand() < 0.5) { photonE = (var4 - varSqrt) * scale; }
>> 416 else { photonE = (var4 + varSqrt) * scale; }
>> 417 }
>> 418 else
>> 419 {
>> 420 photonE = -1.;
>> 421 }
>> 422 } while (iteration <= maxDopplerIterations && photonE > eMax);
>> 423
426 // End of recalculation of photon energy wit 424 // End of recalculation of photon energy with Doppler broadening
427 // Revert to original if maximum number of i << 425 // Revert to original if maximum number of iterations threshold
428 // has been reached 426 // has been reached
429 if (iteration >= maxDopplerIterations) { << 427 if (iteration >= maxDopplerIterations)
430 photonE = photonEoriginal; << 428 {
431 bindingE = 0.; << 429 photonE = photonEoriginal;
432 } << 430 bindingE = 0.;
>> 431 }
433 432
434 // Update G4VParticleChange for the scattere 433 // Update G4VParticleChange for the scattered photon
435 G4ThreeVector photonDirection1(dirx, diry, d << 434 G4ThreeVector photonDirection1(dirx,diry,dirz);
436 photonDirection1.rotateUz(photonDirection0); 435 photonDirection1.rotateUz(photonDirection0);
437 fParticleChange->ProposeMomentumDirection(ph << 436 fParticleChange->ProposeMomentumDirection(photonDirection1) ;
438 437
439 G4double photonEnergy1 = photonE; 438 G4double photonEnergy1 = photonE;
440 439
441 if (photonEnergy1 > 0.) { 440 if (photonEnergy1 > 0.) {
442 fParticleChange->SetProposedKineticEnergy( << 441 fParticleChange->SetProposedKineticEnergy(photonEnergy1) ;
443 } << 442
444 else { << 443 } else {
445 // photon absorbed 444 // photon absorbed
446 photonEnergy1 = 0.; 445 photonEnergy1 = 0.;
447 fParticleChange->SetProposedKineticEnergy( << 446 fParticleChange->SetProposedKineticEnergy(0.) ;
448 fParticleChange->ProposeTrackStatus(fStopA << 447 fParticleChange->ProposeTrackStatus(fStopAndKill);
449 fParticleChange->ProposeLocalEnergyDeposit 448 fParticleChange->ProposeLocalEnergyDeposit(photonEnergy0);
450 return; 449 return;
451 } 450 }
452 451
453 // Kinematics of the scattered electron 452 // Kinematics of the scattered electron
454 G4double eKineticEnergy = photonEnergy0 - ph 453 G4double eKineticEnergy = photonEnergy0 - photonEnergy1 - bindingE;
455 454
456 // protection against negative final energy: 455 // protection against negative final energy: no e- is created
457 if (eKineticEnergy < 0.0) { << 456 if(eKineticEnergy < 0.0) {
458 fParticleChange->ProposeLocalEnergyDeposit 457 fParticleChange->ProposeLocalEnergyDeposit(photonEnergy0 - photonEnergy1);
459 return; 458 return;
460 } 459 }
461 460
462 G4double eTotalEnergy = eKineticEnergy + ele 461 G4double eTotalEnergy = eKineticEnergy + electron_mass_c2;
463 462
464 G4double electronE = photonEnergy0 * (1. - e << 463 G4double electronE = photonEnergy0 * (1. - epsilon) + electron_mass_c2;
465 G4double electronP2 = electronE * electronE << 464 G4double electronP2 =
>> 465 electronE*electronE - electron_mass_c2*electron_mass_c2;
466 G4double sinThetaE = -1.; 466 G4double sinThetaE = -1.;
467 G4double cosThetaE = 0.; 467 G4double cosThetaE = 0.;
468 if (electronP2 > 0.) { << 468 if (electronP2 > 0.)
469 cosThetaE = (eTotalEnergy + photonEnergy1) << 469 {
470 sinThetaE = -1. * sqrt(1. - cosThetaE * co << 470 cosThetaE = (eTotalEnergy + photonEnergy1 )*
471 } << 471 (1. - epsilon) / std::sqrt(electronP2);
472 << 472 sinThetaE = -1. * sqrt(1. - cosThetaE * cosThetaE);
>> 473 }
>> 474
473 G4double eDirX = sinThetaE * std::cos(phi); 475 G4double eDirX = sinThetaE * std::cos(phi);
474 G4double eDirY = sinThetaE * std::sin(phi); 476 G4double eDirY = sinThetaE * std::sin(phi);
475 G4double eDirZ = cosThetaE; 477 G4double eDirZ = cosThetaE;
476 478
477 G4ThreeVector eDirection(eDirX, eDirY, eDirZ << 479 G4ThreeVector eDirection(eDirX,eDirY,eDirZ);
478 eDirection.rotateUz(photonDirection0); 480 eDirection.rotateUz(photonDirection0);
479 auto dp = new G4DynamicParticle(G4Electron:: << 481 G4DynamicParticle* dp = new G4DynamicParticle (G4Electron::Electron(),
>> 482 eDirection,eKineticEnergy) ;
480 fvect->push_back(dp); 483 fvect->push_back(dp);
481 484
482 // sample deexcitation 485 // sample deexcitation
483 if (verboseLevel > 3) { 486 if (verboseLevel > 3) {
484 G4cout << "Started atomic de-excitation " 487 G4cout << "Started atomic de-excitation " << fAtomDeexcitation << G4endl;
485 } 488 }
486 489
487 if (nullptr != fAtomDeexcitation && iteratio << 490 if(nullptr != fAtomDeexcitation && iteration < maxDopplerIterations) {
488 G4int index = couple->GetIndex(); 491 G4int index = couple->GetIndex();
489 if (fAtomDeexcitation->CheckDeexcitationAc << 492 if(fAtomDeexcitation->CheckDeexcitationActiveRegion(index)) {
490 size_t nbefore = fvect->size(); 493 size_t nbefore = fvect->size();
491 auto as = G4AtomicShellEnumerator(shellI << 494 G4AtomicShellEnumerator as = G4AtomicShellEnumerator(shellIdx);
492 const G4AtomicShell* shell = fAtomDeexci 495 const G4AtomicShell* shell = fAtomDeexcitation->GetAtomicShell(Z, as);
493 fAtomDeexcitation->GenerateParticles(fve 496 fAtomDeexcitation->GenerateParticles(fvect, shell, Z, index);
494 size_t nafter = fvect->size(); 497 size_t nafter = fvect->size();
495 if (nafter > nbefore) { << 498 if(nafter > nbefore) {
496 for (size_t i = nbefore; i < nafter; + << 499 for (size_t i=nbefore; i<nafter; ++i) {
497 // Check if there is enough residual << 500 //Check if there is enough residual energy
498 if (bindingE >= ((*fvect)[i])->GetKi << 501 if (bindingE >= ((*fvect)[i])->GetKineticEnergy())
499 // Ok, this is a valid secondary: << 502 {
500 bindingE -= ((*fvect)[i])->GetKine << 503 //Ok, this is a valid secondary: keep it
501 } << 504 bindingE -= ((*fvect)[i])->GetKineticEnergy();
502 else { << 505 }
503 // Invalid secondary: not enough e << 506 else
504 // Keep its energy in the local de << 507 {
505 delete (*fvect)[i]; << 508 //Invalid secondary: not enough energy to create it!
506 (*fvect)[i] = nullptr; << 509 //Keep its energy in the local deposit
507 } << 510 delete (*fvect)[i];
508 } << 511 (*fvect)[i]=0;
>> 512 }
>> 513 }
509 } 514 }
510 } 515 }
511 } 516 }
512 bindingE = std::max(bindingE, 0.0); 517 bindingE = std::max(bindingE, 0.0);
513 fParticleChange->ProposeLocalEnergyDeposit(b 518 fParticleChange->ProposeLocalEnergyDeposit(bindingE);
514 } 519 }
515 520
516 //....oooOO0OOooo........oooOO0OOooo........oo 521 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
517 522
518 G4double G4LivermoreComptonModel::ComputeScatt << 523 G4double
>> 524 G4LivermoreComptonModel::ComputeScatteringFunction(G4double x, G4int Z)
519 { 525 {
520 G4double value = Z; 526 G4double value = Z;
521 if (x <= ScatFuncFitParam[Z][3]) { << 527 if(x <= ScatFuncFitParam[Z][3])
>> 528 {
522 G4double lgq = G4Log(x) / ln10; 529 G4double lgq = G4Log(x) / ln10;
523 530
524 if (lgq < ScatFuncFitParam[Z][1]) { << 531 if(lgq < ScatFuncFitParam[Z][1])
>> 532 {
525 value = ScatFuncFitParam[Z][4] + lgq * S 533 value = ScatFuncFitParam[Z][4] + lgq * ScatFuncFitParam[Z][5];
526 } 534 }
527 else if (lgq >= ScatFuncFitParam[Z][1] && << 535 else if(lgq >= ScatFuncFitParam[Z][1] && lgq < ScatFuncFitParam[Z][2])
528 value = ScatFuncFitParam[Z][6] << 536 {
529 + lgq << 537 value = ScatFuncFitParam[Z][6] +
530 * (ScatFuncFitParam[Z][7] << 538 lgq * (ScatFuncFitParam[Z][7] +
531 + lgq << 539 lgq * (ScatFuncFitParam[Z][8] +
532 * (ScatFuncFitParam[Z << 540 lgq * (ScatFuncFitParam[Z][9] +
533 + lgq * (ScatFuncF << 541 lgq * ScatFuncFitParam[Z][10])));
534 } << 542 }
535 else { << 543 else
536 value = ScatFuncFitParam[Z][11] << 544 {
537 + lgq << 545 value = ScatFuncFitParam[Z][11] +
538 * (ScatFuncFitParam[Z][12] << 546 lgq * (ScatFuncFitParam[Z][12] +
539 + lgq << 547 lgq * (ScatFuncFitParam[Z][13] +
540 * (ScatFuncFitParam[Z << 548 lgq * (ScatFuncFitParam[Z][14] +
541 + lgq * (ScatFuncF << 549 lgq * ScatFuncFitParam[Z][15])));
542 } 550 }
543 value = G4Exp(value * ln10); 551 value = G4Exp(value * ln10);
544 } 552 }
545 // G4cout << " value= " << value << G4end 553 // G4cout << " value= " << value << G4endl;
546 return value; 554 return value;
547 } 555 }
548 556
549 //....oooOO0OOooo........oooOO0OOooo........oo 557 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
550 558
551 void G4LivermoreComptonModel::InitialiseForEle << 559 void
>> 560 G4LivermoreComptonModel::InitialiseForElement(const G4ParticleDefinition*,
>> 561 G4int Z)
552 { 562 {
553 G4AutoLock l(&LivermoreComptonModelMutex); 563 G4AutoLock l(&LivermoreComptonModelMutex);
554 if (data[Z] == nullptr) { << 564 if(data[Z] == nullptr) { ReadData(Z); }
555 ReadData(Z); <<
556 } <<
557 l.unlock(); 565 l.unlock();
558 } 566 }
559 567
560 //....oooOO0OOooo........oooOO0OOooo........oo 568 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
561 569
562 // Fitting data to compute scattering function << 570 //Fitting data to compute scattering function based on EPICS2017
563 const G4double G4LivermoreComptonModel::ScatFu 571 const G4double G4LivermoreComptonModel::ScatFuncFitParam[101][16] = {
564 {0, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., << 572 {0, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.},
565 {1, 6.000000000e+00, 7.087999300e+00, 1.4996 << 573 {1, 6.000000000e+00, 7.087999300e+00, 1.499680000e+08, -1.435559123e+01, 2.000000043e+00, -3.925518125e+02, 2.434944521e+02, -5.784393623e+01, 6.160181204e+00, -2.461326602e-01, -1.649463594e+03, 8.121933215e+02, -1.498313316e+02, 1.227279742e+01, -3.765996345e-01},
566 -3.925518125e+02, 2.434944521e+02, -5.78439 << 574 {2, 6.000000000e+00, 7.199000403e+00, 2.500350000e+08, -1.430103027e+01, 2.000000041e+00, 3.574019365e+02, -1.978574937e+02, 3.971327838e+01, -3.443224867e+00, 1.091825227e-01, -4.009960832e+02, 1.575831469e+02, -2.174763446e+01, 1.185163045e+00, -1.814503741e-02},
567 -1.649463594e+03, 8.121933215e+02, -1.49831 << 575 {3, 6.000000000e+00, 7.301000136e+00, 3.999450000e+08, -1.357675458e+01, 2.000000074e+00, 7.051635443e+02, -4.223841786e+02, 9.318729225e+01, -9.002642767e+00, 3.220625771e-01, 1.524679907e+03, -7.851479582e+02, 1.509941052e+02, -1.285477984e+01, 4.089348830e-01},
568 {2, 6.000000000e+00, 7.199000403e+00, 2.5003 << 576 {4, 6.000000000e+00, 7.349500202e+00, 5.000350000e+08, -1.375202671e+01, 1.999999994e+00, -1.832909604e+02, 1.193997722e+02, -3.034328318e+01, 3.471545044e+00, -1.484222463e-01, 1.397476657e+03, -7.026416933e+02, 1.320720559e+02, -1.099824430e+01, 3.424610532e-01},
569 3.574019365e+02, -1.978574937e+02, 3.971327 << 577 {5, 6.000000000e+00, 7.388999972e+00, 5.997910000e+08, -1.380548571e+01, 2.000000004e+00, -2.334197545e+02, 1.467013466e+02, -3.574851109e+01, 3.925047955e+00, -1.616186492e-01, 6.784713308e+02, -3.419562074e+02, 6.433945831e+01, -5.354244209e+00, 1.663784966e-01},
570 -4.009960832e+02, 1.575831469e+02, -2.17476 << 578 {6, 6.000000000e+00, 7.422500001e+00, 6.998420000e+08, -1.388639003e+01, 1.999999863e+00, -2.460254935e+02, 1.516613633e+02, -3.622024219e+01, 3.900099543e+00, -1.576557530e-01, -1.610185428e+02, 7.010907070e+01, -1.142375397e+01, 8.303365180e-01, -2.273786010e-02},
571 {3, 6.000000000e+00, 7.301000136e+00, 3.9994 << 579 {7, 6.000000000e+00, 7.451499931e+00, 7.998340000e+08, -1.388605429e+01, 1.999999612e+00, -3.054540719e+02, 1.877740247e+02, -4.440273010e+01, 4.718886370e+00, -1.881615004e-01, -2.263864349e+02, 1.017885461e+02, -1.716982752e+01, 1.292954622e+00, -3.668301946e-02},
572 7.051635443e+02, -4.223841786e+02, 9.318729 << 580 {8, 6.000000000e+00, 7.451499931e+00, 7.998340000e+08, -1.395860675e+01, 1.999999906e+00, -3.877174895e+02, 2.345831969e+02, -5.431822300e+01, 5.643262324e+00, -2.200840540e-01, -7.949384302e+02, 3.757293602e+02, -6.661741851e+01, 5.256265086e+00, -1.556986777e-01},
573 1.524679907e+03, -7.851479582e+02, 1.509941 << 581 {9, 6.000000000e+00, 7.451499931e+00, 7.998340000e+08, -1.400000063e+01, 2.000000106e+00, -2.939854827e+02, 1.784214589e+02, -4.168473845e+01, 4.377669850e+00, -1.724300716e-01, -1.169326170e+03, 5.545642014e+02, -9.863024948e+01, 7.801721240e+00, -2.315522357e-01},
574 {4, 6.000000000e+00, 7.349500202e+00, 5.0003 << 582 {10, 6.000000000e+00, 7.451499931e+00, 7.998340000e+08, -1.404575854e+01, 2.000000178e+00, -2.615701853e+02, 1.582596311e+02, -3.698114811e+01, 3.889093901e+00, -1.533613504e-01, -1.275287356e+03, 6.022076554e+02, -1.066410301e+02, 8.398773148e+00, -2.481899800e-01},
575 -1.832909604e+02, 1.193997722e+02, -3.03432 << 583 {11, 6.000000000e+00, 7.500000000e+00, 1.000000000e+09, -1.344369665e+01, 1.999999860e+00, 1.112662501e+03, -6.807056448e+02, 1.545837472e+02, -1.548462180e+01, 5.785425068e-01, -1.007702307e+03, 4.699937040e+02, -8.220352105e+01, 6.396099420e+00, -1.867816054e-01},
576 1.397476657e+03, -7.026416933e+02, 1.320720 << 584 {12, 6.000000000e+00, 7.500000000e+00, 1.000000000e+09, -1.339794047e+01, 2.000000080e+00, 9.895649717e+02, -5.983228286e+02, 1.340681576e+02, -1.323046651e+01, 4.863434994e-01, -5.790532602e+02, 2.626052403e+02, -4.463548055e+01, 3.376239891e+00, -9.588786915e-02},
577 {5, 6.000000000e+00, 7.388999972e+00, 5.9979 << 585 {13, 6.000000000e+00, 7.587999300e+00, 1.499680000e+09, -1.340893585e+01, 2.000000078e+00, 7.335256091e+02, -4.405291562e+02, 9.770954287e+01, -9.519317788e+00, 3.448067237e-01, -5.328832253e+02, 2.398514938e+02, -4.044557740e+01, 3.034597500e+00, -8.547410419e-02},
578 -2.334197545e+02, 1.467013466e+02, -3.57485 << 586 {14, 6.000000000e+00, 7.587999300e+00, 1.499680000e+09, -1.345593195e+01, 2.000000000e+00, 3.978691889e+02, -2.370975001e+02, 5.158692183e+01, -4.884868277e+00, 1.707270518e-01, -2.340256277e+02, 9.813362251e+01, -1.527892110e+01, 1.051070768e+00, -2.692716945e-02},
579 6.784713308e+02, -3.419562074e+02, 6.433945 << 587 {15, 6.000000000e+00, 7.587999300e+00, 1.499680000e+09, -1.349485049e+01, 2.000000083e+00, 2.569833671e+02, -1.513623448e+02, 3.210087153e+01, -2.925756803e+00, 9.724379436e-02, -1.345727293e+01, -6.291081167e+00, 3.235960888e+00, -4.059236666e-01, 1.601245178e-02},
580 {6, 6.000000000e+00, 7.422500001e+00, 6.9984 << 588 {16, 6.000000000e+00, 7.587999300e+00, 1.499680000e+09, -1.353760159e+01, 1.999999937e+00, 1.015293074e+02, -5.721639224e+01, 1.078607152e+01, -7.890593144e-01, 1.726056327e-02, 1.854818165e+02, -1.000803879e+02, 1.979815884e+01, -1.704221744e+00, 5.413372375e-02},
581 -2.460254935e+02, 1.516613633e+02, -3.62202 << 589 {17, 6.000000000e+00, 7.587999300e+00, 1.499680000e+09, -1.358502705e+01, 2.000000066e+00, -4.294163461e+01, 2.862162412e+01, -8.285972104e+00, 1.087745268e+00, -5.172153610e-02, 1.676674074e+02, -8.976414784e+01, 1.763329621e+01, -1.507161653e+00, 4.753277254e-02},
582 -1.610185428e+02, 7.010907070e+01, -1.14237 << 590 {18, 6.000000000e+00, 7.587999300e+00, 1.499680000e+09, -1.361978902e+01, 2.000000042e+00, -3.573422746e+01, 2.403066369e+01, -7.173617800e+00, 9.657608431e-01, -4.662317662e-02, 1.811925229e+02, -9.574636323e+01, 1.861940167e+01, -1.578810247e+00, 4.946799877e-02},
583 {7, 6.000000000e+00, 7.451499931e+00, 7.9983 << 591 {19, 6.000000000e+00, 7.650499797e+00, 1.999860000e+09, -1.320760816e+01, 1.999999979e+00, 1.263152069e+02, -8.738932892e+01, 2.109042182e+01, -2.166733566e+00, 8.146018979e-02, 9.183312428e+01, -5.232836676e+01, 1.072450810e+01, -9.419512971e-01, 3.023884410e-02},
584 -3.054540719e+02, 1.877740247e+02, -4.44027 << 592 {20, 6.000000000e+00, 7.650499797e+00, 1.999860000e+09, -1.314266674e+01, 1.999999876e+00, 6.620218058e+02, -4.057504297e+02, 9.180787767e+01, -9.124184449e+00, 3.372518137e-01, 7.034138711e+01, -4.198325416e+01, 8.861351614e+00, -7.930506530e-01, 2.578454342e-02},
585 -2.263864349e+02, 1.017885461e+02, -1.71698 << 593 {21, 6.000000000e+00, 7.650499797e+00, 1.999860000e+09, -1.317392498e+01, 1.999999966e+00, 6.766093786e+02, -4.129087029e+02, 9.305090790e+01, -9.212128925e+00, 3.392408033e-01, 1.916559096e+01, -1.807294109e+01, 4.677205921e+00, -4.679350245e-01, 1.632115420e-02},
586 {8, 6.000000000e+00, 7.451499931e+00, 7.9983 << 594 {22, 6.000000000e+00, 7.650499797e+00, 1.999860000e+09, -1.320065945e+01, 1.999999999e+00, 6.969823082e+02, -4.236620289e+02, 9.513714106e+01, -9.388294642e+00, 3.446942719e-01, -6.501317146e+01, 2.138553133e+01, -2.250998891e+00, 7.219326079e-02, 5.467529893e-04},
587 -3.877174895e+02, 2.345831969e+02, -5.43182 << 595 {23, 6.000000000e+00, 7.650499797e+00, 1.999860000e+09, -1.322914744e+01, 1.999999909e+00, 6.889749928e+02, -4.181421624e+02, 9.373529727e+01, -9.233142268e+00, 3.383772151e-01, -1.382770534e+02, 5.540647456e+01, -8.170017489e+00, 5.295569200e-01, -1.269556386e-02},
588 -7.949384302e+02, 3.757293602e+02, -6.66174 << 596 {24, 6.000000000e+00, 7.650499797e+00, 1.999860000e+09, -1.333724128e+01, 1.999999854e+00, 4.365566411e+02, -2.672774427e+02, 6.001631369e+01, -5.895458454e+00, 2.149710735e-01, -2.393534124e+02, 1.020845165e+02, -1.624744211e+01, 1.150387566e+00, -3.057723021e-02},
589 {9, 6.000000000e+00, 7.451499931e+00, 7.9983 << 597 {25, 6.000000000e+00, 7.650499797e+00, 1.999860000e+09, -1.328399669e+01, 2.000000008e+00, 6.461381990e+02, -3.918546518e+02, 8.769548644e+01, -8.618784385e+00, 3.150660827e-01, -2.597409979e+02, 1.113332866e+02, -1.782124571e+01, 1.269519197e+00, -3.396126698e-02},
590 -2.939854827e+02, 1.784214589e+02, -4.16847 << 598 {26, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.330103000e+01, 1.999999998e+00, 4.261007401e+02, -2.588846763e+02, 5.764613910e+01, -5.609660122e+00, 2.024165636e-01, -1.982896712e+02, 8.274273985e+01, -1.284074215e+01, 8.845687432e-01, -2.282143299e-02},
591 -1.169326170e+03, 5.545642014e+02, -9.86302 << 599 {27, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.332790165e+01, 1.999999922e+00, 4.006816638e+02, -2.439311564e+02, 5.435031497e+01, -5.287693457e+00, 1.906696163e-01, -2.205075564e+02, 9.262919772e+01, -1.448909443e+01, 1.006686819e+00, -2.621294059e-02},
592 {10, 6.000000000e+00, 7.451499931e+00, 7.998 << 600 {28, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.334678710e+01, 1.999999939e+00, 3.967750019e+02, -2.411866801e+02, 5.364872608e+01, -5.210295834e+00, 1.875525119e-01, -2.516823030e+02, 1.065117131e+02, -1.680533335e+01, 1.178363534e+00, -3.098194406e-02},
593 -2.615701853e+02, 1.582596311e+02, -3.69811 << 601 {29, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.344369664e+01, 1.999999853e+00, 2.437671888e+02, -1.499592208e+02, 3.332221026e+01, -3.206587185e+00, 1.138639692e-01, -2.874130637e+02, 1.223381969e+02, -1.943178054e+01, 1.371979484e+00, -3.633119448e-02},
594 -1.275287356e+03, 6.022076554e+02, -1.06641 << 602 {30, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.338721562e+01, 1.999999911e+00, 3.914867984e+02, -2.378147085e+02, 5.284517777e+01, -5.126420186e+00, 1.843322562e-01, -3.235063319e+02, 1.384252948e+02, -2.211844479e+01, 1.571300198e+00, -4.187323186e-02},
595 {11, 6.000000000e+00, 7.500000000e+00, 1.000 << 603 {31, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.335654643e+01, 1.999999847e+00, 4.325820127e+02, -2.614587597e+02, 5.793273998e+01, -5.611190206e+00, 2.015836827e-01, -3.359152840e+02, 1.437507638e+02, -2.297457475e+01, 1.632470701e+00, -4.351215346e-02},
596 1.112662501e+03, -6.807056448e+02, 1.545837 << 604 {32, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.337675047e+01, 1.999999960e+00, 4.388195965e+02, -2.642662297e+02, 5.834159168e+01, -5.629419790e+00, 2.014339673e-01, -3.430730654e+02, 1.467102631e+02, -2.343160019e+01, 1.663765504e+00, -4.431369286e-02},
597 -1.007702307e+03, 4.699937040e+02, -8.22035 << 605 {33, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.339794046e+01, 2.000000074e+00, 3.931399547e+02, -2.363700718e+02, 5.197696913e+01, -4.987097655e+00, 1.772567576e-01, -3.501570134e+02, 1.497141578e+02, -2.390888062e+01, 1.697503580e+00, -4.520887478e-02},
598 {12, 6.000000000e+00, 7.500000000e+00, 1.000 << 606 {34, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.342021680e+01, 2.000000064e+00, 3.772588127e+02, -2.256347960e+02, 4.929790851e+01, -4.694628847e+00, 1.654667382e-01, -3.481053019e+02, 1.486490112e+02, -2.370745096e+01, 1.680991482e+00, -4.471064364e-02},
599 9.895649717e+02, -5.983228286e+02, 1.340681 << 607 {35, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.344369666e+01, 1.999999864e+00, 3.344685842e+02, -1.994816236e+02, 4.332267376e+01, -4.090542180e+00, 1.426839031e-01, -3.227660675e+02, 1.370301996e+02, -2.171543883e+01, 1.529681552e+00, -4.041331983e-02},
600 -5.790532602e+02, 2.626052403e+02, -4.46354 << 608 {36, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.345593194e+01, 1.999999999e+00, 3.004054446e+02, -1.781334135e+02, 3.834850324e+01, -3.580074471e+00, 1.232168921e-01, -2.980827664e+02, 1.257508661e+02, -1.978792154e+01, 1.383723149e+00, -3.628014907e-02},
601 {13, 6.000000000e+00, 7.587999300e+00, 1.499 << 609 {37, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.310790583e+01, 2.000000075e+00, -3.687188343e+01, 1.054409719e+01, -8.516586814e-01, 9.339751003e-03, 8.809383936e-04, -2.699384784e+02, 1.129635316e+02, -1.761447452e+01, 1.219971043e+00, -3.166503704e-02},
602 7.335256091e+02, -4.405291562e+02, 9.770954 << 610 {38, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.304095795e+01, 1.999999892e+00, 1.969969064e+02, -1.286503864e+02, 3.008431767e+01, -3.031946980e+00, 1.124456346e-01, -2.331258613e+02, 9.627987243e+01, -1.478515961e+01, 1.007215642e+00, -2.567873120e-02},
603 -5.328832253e+02, 2.398514938e+02, -4.04455 << 611 {39, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.306048023e+01, 1.999999916e+00, 2.891710763e+02, -1.819536752e+02, 4.158265841e+01, -4.128940218e+00, 1.515168697e-01, -1.997404800e+02, 8.119476676e+01, -1.223426670e+01, 8.159269666e-01, -2.031079820e-02},
604 {14, 6.000000000e+00, 7.587999300e+00, 1.499 << 612 {40, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.308092198e+01, 2.000000013e+00, 3.393782172e+02, -2.103908454e+02, 4.758278737e+01, -4.688308235e+00, 1.709723418e-01, -1.549247582e+02, 6.091403935e+01, -8.799307373e+00, 5.578963961e-01, -1.305663921e-02},
605 3.978691889e+02, -2.370975001e+02, 5.158692 << 613 {41, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.316749062e+01, 1.999999920e+00, 2.748604341e+02, -1.706429616e+02, 3.843757441e+01, -3.759045290e+00, 1.358263430e-01, -1.163607425e+02, 4.350905533e+01, -5.859305970e+00, 3.376426246e-01, -6.881281652e-03},
606 -2.340256277e+02, 9.813362251e+01, -1.52789 << 614 {42, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.318708720e+01, 2.000000093e+00, 3.203285955e+02, -1.966282865e+02, 4.398204769e+01, -4.283031482e+00, 1.543480828e-01, -9.364181222e+01, 3.329814493e+01, -4.141689265e+00, 2.095170962e-01, -3.304665813e-03},
607 {15, 6.000000000e+00, 7.587999300e+00, 1.499 << 615 {43, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.314266674e+01, 1.999999876e+00, 4.184977165e+02, -2.552902161e+02, 5.707764818e+01, -5.576436872e+00, 2.020184726e-01, -8.395646154e+01, 2.898228589e+01, -3.422356654e+00, 1.564059753e-01, -1.838508896e-03},
608 2.569833671e+02, -1.513623448e+02, 3.210087 << 616 {44, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.322914744e+01, 1.999999909e+00, 3.243555305e+02, -1.978255470e+02, 4.397580841e+01, -4.256142657e+00, 1.524431452e-01, -5.506292375e+01, 1.599310639e+01, -1.237152904e+00, -6.611574411e-03, 2.712232383e-03},
609 -1.345727293e+01, -6.291081167e+00, 3.23596 << 617 {45, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.325181249e+01, 2.000000089e+00, 3.037823599e+02, -1.856628295e+02, 4.128167884e+01, -3.991656133e+00, 1.427469878e-01, -5.014186072e+01, 1.386962969e+01, -8.950806420e-01, -3.095321225e-02, 3.357984426e-03},
610 {16, 6.000000000e+00, 7.587999300e+00, 1.499 << 618 {46, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.340893584e+01, 2.000000073e+00, 3.529797051e+02, -2.101512262e+02, 4.563946029e+01, -4.315279704e+00, 1.509248358e-01, -4.815922691e+01, 1.301508788e+01, -7.580854951e-01, -4.059091985e-02, 3.608993811e-03},
611 1.015293074e+02, -5.721639224e+01, 1.078607 << 619 {47, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.328399669e+01, 2.000000008e+00, 3.074953924e+02, -1.872462583e+02, 4.149827252e+01, -4.000811852e+00, 1.426973118e-01, -4.897188379e+01, 1.335300002e+01, -8.110051997e-01, -3.684788190e-02, 3.508156457e-03},
612 1.854818165e+02, -1.000803879e+02, 1.979815 << 620 {48, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.322914743e+01, 1.999999904e+00, 4.059717166e+02, -2.462737702e+02, 5.472040126e+01, -5.311320062e+00, 1.911670149e-01, -5.901534554e+01, 1.791385249e+01, -1.587065943e+00, 2.182673278e-02, 1.845559896e-03},
613 {17, 6.000000000e+00, 7.587999300e+00, 1.499 << 621 {49, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.320760815e+01, 1.999999973e+00, 4.369774251e+02, -2.639721687e+02, 5.849617557e+01, -5.667842049e+00, 2.037342202e-01, -7.399698219e+01, 2.469785523e+01, -2.737881327e+00, 1.085351830e-01, -6.022720695e-04},
614 -4.294163461e+01, 2.862162412e+01, -8.28597 << 622 {50, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.322184869e+01, 1.999999993e+00, 4.289361021e+02, -2.585593024e+02, 5.714058683e+01, -5.518600115e+00, 1.976499817e-01, -9.269047286e+01, 3.314422349e+01, -4.167341855e+00, 2.159629039e-01, -3.626802503e-03},
615 1.676674074e+02, -8.976414784e+01, 1.763329 << 623 {51, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.323657166e+01, 1.999999946e+00, 3.866985836e+02, -2.328379698e+02, 5.128884878e+01, -4.929614910e+00, 1.755331333e-01, -1.067869310e+02, 3.950715983e+01, -5.243321447e+00, 2.967791238e-01, -5.901223876e-03},
616 {18, 6.000000000e+00, 7.587999300e+00, 1.499 << 624 {52, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.325181248e+01, 2.000000083e+00, 3.947511198e+02, -2.363799049e+02, 5.179393756e+01, -4.951603918e+00, 1.753404387e-01, -1.069681982e+02, 3.995521754e+01, -5.382071424e+00, 3.120248901e-01, -6.467957474e-03},
617 -3.573422746e+01, 2.403066369e+01, -7.17361 << 625 {53, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.326760745e+01, 2.000000205e+00, 3.694394448e+02, -2.204699428e+02, 4.806381052e+01, -4.565474883e+00, 1.604614344e-01, -1.180749905e+02, 4.460080701e+01, -6.105217447e+00, 3.616537171e-01, -7.733059623e-03},
618 1.811925229e+02, -9.574636323e+01, 1.861940 << 626 {54, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.328399667e+01, 2.000000001e+00, 3.423943987e+02, -2.041330669e+02, 4.437639784e+01, -4.197363553e+00, 1.467594367e-01, -1.288973984e+02, 4.985324046e+01, -7.056041375e+00, 4.378018318e-01, -1.000965926e-02},
619 {19, 6.000000000e+00, 7.650499797e+00, 1.999 << 627 {55, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.297881025e+01, 1.999999927e+00, -7.663422017e+01, 3.462700567e+01, -6.273553579e+00, 5.487612834e-01, -1.912897528e-02, -1.318428276e+02, 5.081036112e+01, -7.154907590e+00, 4.405355674e-01, -9.955685075e-03},
620 1.263152069e+02, -8.738932892e+01, 2.109042 << 628 {56, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.290657751e+01, 1.999999869e+00, 1.084179205e+02, -7.602229206e+01, 1.843754298e+01, -1.892451591e+00, 7.085434176e-02, -1.346311376e+02, 5.207427468e+01, -7.369834199e+00, 4.568138610e-01, -1.041859875e-02},
621 9.183312428e+01, -5.232836676e+01, 1.072450 << 629 {57, 6.000000000e+00, 7.725500002e+00, 2.824880000e+09, -1.292445241e+01, 1.999999898e+00, 2.995898890e+02, -1.889477671e+02, 4.336642429e+01, -4.330424108e+00, 1.599942758e-01, 5.503972208e+00, -1.227641064e+01, 3.699182312e+00, -3.884476060e-01, 1.375966896e-02},
622 {20, 6.000000000e+00, 7.650499797e+00, 1.999 << 630 {58, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.293554133e+01, 1.999999890e+00, 1.709135500e+02, -1.120124681e+02, 2.615893820e+01, -2.624416758e+00, 9.674223967e-02, -1.375860132e+02, 5.337811974e+01, -7.586786386e+00, 4.730023198e-01, -1.087482303e-02},
623 6.620218058e+02, -4.057504297e+02, 9.180787 << 631 {59, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.293554133e+01, 1.999999890e+00, 1.214691988e+02, -8.336119630e+01, 1.996468944e+01, -2.032283439e+00, 7.562254632e-02, -1.631005912e+02, 6.472051894e+01, -9.476098737e+00, 6.127875286e-01, -1.475060958e-02},
624 7.034138711e+01, -4.198325416e+01, 8.861351 << 632 {60, 6.000000000e+00, 7.849500202e+00, 5.000350000e+09, -1.294309494e+01, 1.999999967e+00, 1.302719596e+02, -8.835087414e+01, 2.101971144e+01, -2.131084478e+00, 7.908549730e-02, -1.692901279e+02, 6.742727614e+01, -9.920661139e+00, 6.453186854e-01, -1.564524492e-02},
625 {21, 6.000000000e+00, 7.650499797e+00, 1.999 << 633 {61, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.295078139e+01, 1.999999905e+00, 1.127680235e+02, -7.782238836e+01, 1.865126163e+01, -1.895116816e+00, 7.030502833e-02, -2.059821608e+02, 8.384774285e+01, -1.267344799e+01, 8.502354115e-01, -2.135994609e-02},
626 6.766093786e+02, -4.129087029e+02, 9.305090 << 634 {62, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.295860692e+01, 1.999999936e+00, 1.203145109e+02, -8.212556537e+01, 1.956606386e+01, -1.981212240e+00, 7.333626288e-02, -2.158058793e+02, 8.810144391e+01, -1.336380022e+01, 9.000362964e-01, -2.270715579e-02},
627 1.916559096e+01, -1.807294109e+01, 4.677205 << 635 {63, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.296657573e+01, 1.999999918e+00, 1.212159597e+02, -8.256559477e+01, 1.964122173e+01, -1.986442056e+00, 7.345564343e-02, -2.278531434e+02, 9.336519465e+01, -1.422588608e+01, 9.627883381e-01, -2.441986614e-02},
628 {22, 6.000000000e+00, 7.650499797e+00, 1.999 << 636 {64, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.298296617e+01, 1.999999921e+00, 1.689382403e+02, -1.099987696e+02, 2.551961464e+01, -2.543234152e+00, 9.313568005e-02, -2.282716670e+02, 9.348611199e+01, -1.423588448e+01, 9.628551072e-01, -2.440492772e-02},
629 6.969823082e+02, -4.236620289e+02, 9.513714 << 637 {65, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.299139910e+01, 1.999999880e+00, 1.724155378e+02, -1.120798437e+02, 2.598264738e+01, -2.588807295e+00, 9.481417896e-02, -2.322687147e+02, 9.517466656e+01, -1.450332749e+01, 9.817069914e-01, -2.490386807e-02},
630 -6.501317146e+01, 2.138553133e+01, -2.25099 << 638 {66, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.298716240e+01, 1.999999941e+00, 1.286079419e+02, -8.646296410e+01, 2.039801258e+01, -2.050839207e+00, 7.549033493e-02, -2.420048480e+02, 9.935663043e+01, -1.517653800e+01, 1.029875015e+00, -2.619626869e-02},
631 {23, 6.000000000e+00, 7.650499797e+00, 1.999 << 639 {67, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.299567846e+01, 1.999999971e+00, 1.182799697e+02, -8.043389241e+01, 1.908027783e+01, -1.923209794e+00, 7.087268462e-02, -2.464462609e+02, 1.012059056e+02, -1.546468270e+01, 1.049814070e+00, -2.671320158e-02},
632 6.889749928e+02, -4.181421624e+02, 9.373529 << 640 {68, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.300436459e+01, 1.999999966e+00, 1.150510247e+02, -7.859576077e+01, 1.868688175e+01, -1.885844183e+00, 6.954765052e-02, -2.457555063e+02, 1.007538481e+02, -1.536692833e+01, 1.041070997e+00, -2.643279207e-02},
633 -1.382770534e+02, 5.540647456e+01, -8.17001 << 641 {69, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.300877391e+01, 2.000000000e+00, 1.266280406e+02, -8.514491730e+01, 2.007089332e+01, -2.015475088e+00, 7.409191965e-02, -2.492442707e+02, 1.021615320e+02, -1.557878384e+01, 1.055183253e+00, -2.678362279e-02},
634 {24, 6.000000000e+00, 7.650499797e+00, 1.999 << 642 {70, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.301772826e+01, 1.999999912e+00, 1.224253568e+02, -8.281395858e+01, 1.958609738e+01, -1.970785167e+00, 7.255458061e-02, -2.488808342e+02, 1.018569466e+02, -1.550601866e+01, 1.048325396e+00, -2.655661748e-02},
635 4.365566411e+02, -2.672774427e+02, 6.001631 << 643 {71, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.303151733e+01, 2.000000051e+00, 1.862181262e+02, -1.199038630e+02, 2.763107534e+01, -2.742586837e+00, 1.001956495e-01, -2.403102476e+02, 9.796272016e+01, -1.484525920e+01, 9.987147871e-01, -2.516533876e-02},
636 -2.393534124e+02, 1.020845165e+02, -1.62474 << 644 {72, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.304575796e+01, 2.000000081e+00, 2.297759959e+02, -1.448485621e+02, 3.295877082e+01, -3.245850428e+00, 1.179456377e-01, -2.282155654e+02, 9.249921555e+01, -1.392266984e+01, 9.297052139e-01, -2.323558576e-02},
637 {25, 6.000000000e+00, 7.650499797e+00, 1.999 << 645 {73, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.306048022e+01, 1.999999910e+00, 2.646909006e+02, -1.647716545e+02, 3.719903613e+01, -3.645113853e+00, 1.319890617e-01, -2.165150972e+02, 8.722660467e+01, -1.303415548e+01, 8.633600348e-01, -2.138300143e-02},
638 6.461381990e+02, -3.918546518e+02, 8.769548 << 646 {74, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.308092196e+01, 2.000000008e+00, 2.251239174e+02, -1.414731209e+02, 3.206048507e+01, -3.142433101e+00, 1.135971917e-01, -2.070173544e+02, 8.296725365e+01, -1.231986936e+01, 8.102887128e-01, -1.990853407e-02},
639 -2.597409979e+02, 1.113332866e+02, -1.78212 << 647 {75, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.309151488e+01, 1.999999984e+00, 2.627532736e+02, -1.629008146e+02, 3.661592385e+01, -3.571257833e+00, 1.286871297e-01, -1.945762063e+02, 7.740995255e+01, -1.139129234e+01, 7.415172466e-01, -1.800335280e-02},
640 {26, 6.000000000e+00, 7.849500202e+00, 5.000 << 648 {76, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.310790581e+01, 2.000000068e+00, 2.644549626e+02, -1.637369900e+02, 3.675734857e+01, -3.580665992e+00, 1.288721975e-01, -1.725967865e+02, 6.755389456e+01, -9.737633351e+00, 6.184954292e-01, -1.457897448e-02},
641 4.261007401e+02, -2.588846763e+02, 5.764613 << 649 {77, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.311918599e+01, 1.999999933e+00, 2.677629012e+02, -1.650589135e+02, 3.690999414e+01, -3.582378706e+00, 1.284763849e-01, -1.584140848e+02, 6.122430396e+01, -8.680876005e+00, 5.402879020e-01, -1.241386995e-02},
642 -1.982896712e+02, 8.274273985e+01, -1.28407 << 650 {78, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.319382006e+01, 2.000000009e+00, 2.420702029e+02, -1.484461630e+02, 3.292288306e+01, -3.162757529e+00, 1.121487556e-01, -1.319886050e+02, 4.940494114e+01, -6.702740089e+00, 3.934770465e-01, -8.336673895e-03},
643 {27, 6.000000000e+00, 7.849500202e+00, 5.000 << 651 {79, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.320760814e+01, 1.999999969e+00, 2.346714957e+02, -1.439356552e+02, 3.189416251e+01, -3.059071523e+00, 1.082595858e-01, -1.130109430e+02, 4.093029258e+01, -5.286747014e+00, 2.885753389e-01, -5.428939868e-03},
644 4.006816638e+02, -2.439311564e+02, 5.435031 << 652 {80, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.316115147e+01, 2.000000093e+00, 2.747370538e+02, -1.689673404e+02, 3.771696324e+01, -3.655841153e+00, 1.309852214e-01, -9.001823908e+01, 3.066094857e+01, -3.570459523e+00, 1.613797666e-01, -1.901561361e-03},
645 -2.205075564e+02, 9.262919772e+01, -1.44890 << 653 {81, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.313667715e+01, 2.000000002e+00, 3.142563781e+02, -1.916613838e+02, 4.259167223e+01, -4.119713271e+00, 1.474792530e-01, -7.642731867e+01, 2.462410146e+01, -2.566977318e+00, 8.741068396e-02, 1.388590928e-04},
646 {28, 6.000000000e+00, 7.849500202e+00, 5.000 << 654 {82, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.314266674e+01, 1.999999876e+00, 3.509258060e+02, -2.125470710e+02, 4.702461797e+01, -4.535380912e+00, 1.620138781e-01, -5.173355302e+01, 1.362015056e+01, -7.321282362e-01, -4.826261322e-02, 3.892879264e-03},
647 3.967750019e+02, -2.411866801e+02, 5.364872 << 655 {83, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.315490164e+01, 1.999999944e+00, 3.399729483e+02, -2.056319770e+02, 4.539614689e+01, -4.366195994e+00, 1.554792165e-01, -4.131443229e+01, 8.986236911e+00, 3.924628986e-02, -1.052060828e-01, 5.466043586e-03},
648 -2.516823030e+02, 1.065117131e+02, -1.68053 << 656 {84, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.316749062e+01, 1.999999920e+00, 3.640602841e+02, -2.190164327e+02, 4.815603439e+01, -4.616573783e+00, 1.639147626e-01, -3.256862965e+01, 5.115606198e+00, 6.800853161e-01, -1.522315744e-01, 6.756786448e-03},
649 {29, 6.000000000e+00, 7.849500202e+00, 5.000 << 657 {85, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.318045630e+01, 2.000000044e+00, 3.766488275e+02, -2.257321142e+02, 4.947300991e+01, -4.728919006e+00, 1.674240471e-01, -2.300947210e+01, 8.615223509e-01, 1.388425307e+00, -2.045157608e-01, 8.200511055e-03},
650 2.437671888e+02, -1.499592208e+02, 3.332221 << 658 {86, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.319382005e+01, 2.000000006e+00, 3.443622947e+02, -2.064342780e+02, 4.516044966e+01, -4.302253084e+00, 1.516667044e-01, -5.399039282e+00, -7.002814559e+00, 2.702516748e+00, -3.018766003e-01, 1.089953798e-02},
651 -2.874130637e+02, 1.223381969e+02, -1.94317 << 659 {87, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.291364147e+01, 2.000000217e+00, -3.706791591e+01, 1.118013187e+01, -1.057728859e+00, 3.312859839e-02, -3.138341244e-06, -3.451314336e+00, -7.779254134e+00, 2.816269849e+00, -3.090776388e-01, 1.106424389e-02},
652 {30, 6.000000000e+00, 7.849500202e+00, 5.000 << 660 {88, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.284163724e+01, 1.999999954e+00, 6.125934670e+01, -4.855548659e+01, 1.248551381e+01, -1.323304763e+00, 5.060744172e-02, -6.021643455e+00, -6.580234329e+00, 2.607440108e+00, -2.929625239e-01, 1.059951856e-02},
653 3.914867984e+02, -2.378147085e+02, 5.284517 << 661 {89, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.285387248e+01, 2.000000090e+00, 1.350863292e+02, -9.126618691e+01, 2.169932948e+01, -2.201947573e+00, 8.186860720e-02, 1.937135880e+01, -1.787129621e+01, 4.485878662e+00, -4.315325969e-01, 1.442445798e-02},
654 -3.235063319e+02, 1.384252948e+02, -2.21184 << 662 {90, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.286966604e+01, 1.999999970e+00, 1.784388998e+02, -1.161623817e+02, 2.702376618e+01, -2.704797298e+00, 9.957279361e-02, 2.216057166e+01, -1.904990091e+01, 4.671627339e+00, -4.444534802e-01, 1.475921763e-02},
655 {31, 6.000000000e+00, 7.849500202e+00, 5.000 << 663 {91, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.287289489e+01, 1.999999951e+00, 1.368355213e+02, -9.179790820e+01, 2.169910915e+01, -2.190249857e+00, 8.102241740e-02, 4.516580666e+00, -1.118102949e+01, 3.357662550e+00, -3.470694353e-01, 1.205639951e-02},
656 4.325820127e+02, -2.614587597e+02, 5.793273 << 664 {92, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.287942629e+01, 2.000000032e+00, 1.427130850e+02, -9.499714618e+01, 2.234475916e+01, -2.247599931e+00, 8.291713193e-02, 1.341991149e+01, -1.518503354e+01, 4.030838171e+00, -3.972060658e-01, 1.345248084e-02},
657 -3.359152840e+02, 1.437507638e+02, -2.29745 << 665 {93, 6.000000000e+00, 8.000000000e+00, 1.000000000e+10, -1.288605524e+01, 1.999999761e+00, 2.341801100e+01, -2.506119713e+01, 7.023029272e+00, -7.610742531e-01, 2.903245750e-02, -3.575331738e+01, 7.276302226e+00, 1.906771859e-01, -1.059475755e-01, 5.184029625e-03},
658 {32, 6.000000000e+00, 7.849500202e+00, 5.000 << 666 {94, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.288272835e+01, 1.999999941e+00, 1.287618322e+02, -8.721780968e+01, 2.073255323e+01, -2.100572716e+00, 7.794295578e-02, -2.307262580e+01, 1.113132278e+00, 1.305250601e+00, -1.948949139e-01, 7.829116438e-03},
659 4.388195965e+02, -2.642662297e+02, 5.834159 << 667 {95, 6.000000000e+00, 7.951499931e+00, 7.998340000e+09, -1.288940956e+01, 1.999999880e+00, 1.334821220e+02, -8.985337775e+01, 2.127928526e+01, -2.150628571e+00, 7.965294640e-02, -3.518662723e+01, 6.514543434e+00, 4.030862442e-01, -1.279850170e-01, 5.970168353e-03},
660 -3.430730654e+02, 1.467102631e+02, -2.34316 << 668 {96, 6.000000000e+00, 8.000000000e+00, 1.000000000e+10, -1.290553004e+01, 2.000000198e+00, 4.545581472e+01, -3.771304300e+01, 9.729129321e+00, -1.017037014e+00, 3.807733199e-02, -4.973805034e+01, 1.342335334e+01, -8.221139917e-01, -3.176841835e-02, 3.146810827e-03},
661 {33, 6.000000000e+00, 7.849500202e+00, 5.000 << 669 {97, 6.000000000e+00, 8.000000000e+00, 1.000000000e+10, -1.291150963e+01, 2.000000019e+00, 4.689042092e+01, -3.843347264e+01, 9.859294531e+00, -1.027014690e+00, 3.834833665e-02, -4.657434145e+01, 1.204637835e+01, -5.982449163e-01, -4.786919243e-02, 3.579251285e-03},
662 3.931399547e+02, -2.363700718e+02, 5.197696 << 670 {98, 6.000000000e+00, 8.000000000e+00, 1.000000000e+10, -1.290833198e+01, 1.999999824e+00, 1.337584189e+01, -1.907284620e+01, 5.691614909e+00, -6.307838734e-01, 2.430868142e-02, -5.573362773e+01, 1.615667599e+01, -1.288960621e+00, 3.655033732e-03, 2.140047522e-03},
663 -3.501570134e+02, 1.497141578e+02, -2.39088 << 671 {99, 6.000000000e+00, 8.000000000e+00, 1.000000000e+10, -1.291435263e+01, 1.999999988e+00, 1.376201293e+01, -1.919251815e+01, 5.693799461e+00, -6.287500644e-01, 2.416045199e-02, -4.914211254e+01, 1.314247998e+01, -7.739336035e-01, -3.530513333e-02, 3.241293077e-03},
664 {34, 6.000000000e+00, 7.849500202e+00, 5.000 << 672 {100, 6.000000000e+00, 8.000000000e+00, 1.000000000e+10, -1.292045700e+01, 2.000000004e+00, 1.277081775e+01, -1.854047224e+01, 5.534680382e+00, -6.118054153e-01, 2.349768815e-02, -5.074293980e+01, 1.383260974e+01, -8.858904786e-01, -2.718885953e-02, 3.019620454e-03}
665 3.772588127e+02, -2.256347960e+02, 4.929790 << 673 };
666 -3.481053019e+02, 1.486490112e+02, -2.37074 <<
667 {35, 6.000000000e+00, 7.849500202e+00, 5.000 <<
668 3.344685842e+02, -1.994816236e+02, 4.332267 <<
669 -3.227660675e+02, 1.370301996e+02, -2.17154 <<
670 {36, 6.000000000e+00, 7.849500202e+00, 5.000 <<
671 3.004054446e+02, -1.781334135e+02, 3.834850 <<
672 -2.980827664e+02, 1.257508661e+02, -1.97879 <<
673 {37, 6.000000000e+00, 7.849500202e+00, 5.000 <<
674 -3.687188343e+01, 1.054409719e+01, -8.51658 <<
675 -2.699384784e+02, 1.129635316e+02, -1.76144 <<
676 {38, 6.000000000e+00, 7.849500202e+00, 5.000 <<
677 1.969969064e+02, -1.286503864e+02, 3.008431 <<
678 -2.331258613e+02, 9.627987243e+01, -1.47851 <<
679 {39, 6.000000000e+00, 7.849500202e+00, 5.000 <<
680 2.891710763e+02, -1.819536752e+02, 4.158265 <<
681 -1.997404800e+02, 8.119476676e+01, -1.22342 <<
682 {40, 6.000000000e+00, 7.849500202e+00, 5.000 <<
683 3.393782172e+02, -2.103908454e+02, 4.758278 <<
684 -1.549247582e+02, 6.091403935e+01, -8.79930 <<
685 {41, 6.000000000e+00, 7.849500202e+00, 5.000 <<
686 2.748604341e+02, -1.706429616e+02, 3.843757 <<
687 -1.163607425e+02, 4.350905533e+01, -5.85930 <<
688 {42, 6.000000000e+00, 7.849500202e+00, 5.000 <<
689 3.203285955e+02, -1.966282865e+02, 4.398204 <<
690 -9.364181222e+01, 3.329814493e+01, -4.14168 <<
691 {43, 6.000000000e+00, 7.849500202e+00, 5.000 <<
692 4.184977165e+02, -2.552902161e+02, 5.707764 <<
693 -8.395646154e+01, 2.898228589e+01, -3.42235 <<
694 {44, 6.000000000e+00, 7.849500202e+00, 5.000 <<
695 3.243555305e+02, -1.978255470e+02, 4.397580 <<
696 -5.506292375e+01, 1.599310639e+01, -1.23715 <<
697 {45, 6.000000000e+00, 7.849500202e+00, 5.000 <<
698 3.037823599e+02, -1.856628295e+02, 4.128167 <<
699 -5.014186072e+01, 1.386962969e+01, -8.95080 <<
700 {46, 6.000000000e+00, 7.849500202e+00, 5.000 <<
701 3.529797051e+02, -2.101512262e+02, 4.563946 <<
702 -4.815922691e+01, 1.301508788e+01, -7.58085 <<
703 {47, 6.000000000e+00, 7.849500202e+00, 5.000 <<
704 3.074953924e+02, -1.872462583e+02, 4.149827 <<
705 -4.897188379e+01, 1.335300002e+01, -8.11005 <<
706 {48, 6.000000000e+00, 7.849500202e+00, 5.000 <<
707 4.059717166e+02, -2.462737702e+02, 5.472040 <<
708 -5.901534554e+01, 1.791385249e+01, -1.58706 <<
709 {49, 6.000000000e+00, 7.849500202e+00, 5.000 <<
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865 //....oooOO0OOooo........oooOO0OOooo........oo 674 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
866 675