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 Inf
 Inf
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 Inf
 Inf
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 Inf
 Inf
 Inf
 2.51709098e+271
 Inf
 Inf
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 Inf
 Inf
 8.43389935e+144
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 Inf
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 Inf
 Inf
 Inf
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 Inf
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 Inf
 2.73774924e+275
 Inf
 Inf
 3.04323399e+242
 Inf
 2.51329214e+03
 2.51343149e+03
 2.51335498e+03
 2.51333840e+03
 2.51333492e+03
 2.51332918e+03
 2.51330544e+03
 2.51327998e+03
 2.51333790e+03
 2.51338705e+03
 2.51330371e+03
 2.51335668e+03
 2.51338772e+03
 2.51334198e+03
 2.51333891e+03
 2.51330687e+03
 2.51331526e+03
 2.51336548e+03
 2.51338308e+03
 2.51337158e+03
 2.51348420e+03
 2.51345351e+03
 2.51341018e+03
 2.51333249e+03
 7.40687579e+274
 Inf
 2.51328231e+03
 2.51333492e+03
 2.51339042e+03
 2.51332825e+03
 2.51328014e+03
 Inf
 4.81619818e+172
 4.57688055e+98
 4.66118375e+121
 6.96375852e+177
 7.41996251e+165
 4.76894403e+273
 2.51327604e+03
 2.51327469e+03
 Inf
 2.51327507e+03
 2.51327817e+03
 Inf
 3.76631089e+247
 Inf
 Inf
 Inf
 2.51328323e+03
 2.51344932e+03
 2.51334198e+03
 2.51330136e+03
 2.51329607e+03
 2.51331406e+03
 2.51343867e+03
 2.51342369e+03
 2.51328195e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328161e+03
 2.51329849e+03
 2.51328441e+03
 2.51329434e+03
 Inf
 2.04879771e+288
 5.86314501e+244
 1.18838329e+182
 6.13607963e+239
 2.51327817e+03
 2.51338839e+03
 Inf
 Inf
 Inf
 2.51329757e+03
 2.51328421e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328093e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327669e+03
 Inf
 4.08668337e+237
 3.93702452e+190
 Inf
 Inf
 Inf
 2.46118754e+286
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329268e+03
 Inf
 Inf
 2.51328523e+03
 2.51339110e+03
 2.51329787e+03
 2.51327452e+03
 2.51328565e+03
 Inf
 7.35899916e+254
 Inf
 2.51329268e+03
 2.51348057e+03
 2.51335107e+03
 2.51337789e+03
 2.51372317e+03
 2.51388482e+03
 2.51400351e+03
 2.51424686e+03
 2.51424047e+03
 2.51393392e+03
 2.51380378e+03
 2.51408729e+03
 2.51442070e+03
 2.51477204e+03
 2.51484355e+03
 2.51402230e+03
 2.51358967e+03
 2.51329880e+03
 2.51366148e+03
 2.51402404e+03
 2.51336729e+03
 2.51337470e+03
 Inf
 Inf
 2.51374610e+03
 2.51419465e+03
 2.51334565e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.52109016e+259
 Inf
 2.51364556e+03
 2.51368672e+03
 2.51337661e+03
 2.51335162e+03
 Inf
 2.51328178e+03
 2.51346376e+03
 2.51329757e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329696e+03
 Inf
 2.51328213e+03
 2.51369950e+03
 2.51400013e+03
 2.51469280e+03
 2.49975929e+03
 2.51461341e+03
 2.51422540e+03
 2.51355389e+03
 2.51356010e+03
 2.51397659e+03
 2.51420038e+03
 2.51415868e+03
 2.51420034e+03
 2.51424882e+03
 2.51444638e+03
 2.51438055e+03
 2.51421959e+03
 2.51438686e+03
 2.51372717e+03
 2.51330169e+03
 2.51333153e+03
 2.51334198e+03
 2.51327520e+03
 2.51328342e+03
 2.51337661e+03
 2.51343466e+03
 2.51333690e+03
 2.51328029e+03
 2.51327856e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331772e+03
 2.51347252e+03
 2.51339042e+03
 2.51334198e+03
 2.51338974e+03
 2.51342447e+03
 2.51350664e+03
 2.51343149e+03
 2.51339800e+03
 2.51332641e+03
 2.51330371e+03
 Inf
 9.48329319e+271
 Inf
 2.51330236e+03
 2.51366770e+03
 2.51335162e+03
 Inf
 Inf
 2.51328014e+03
 Inf
 2.51327612e+03
 2.51336668e+03
 2.51336131e+03
 2.51360208e+03
 2.51383015e+03
 2.51385872e+03
 2.51385706e+03
 2.51371257e+03
 2.51370476e+03
 2.51358301e+03
 2.51349528e+03
 2.51360894e+03
 2.51378088e+03
 2.51380816e+03
 2.51388015e+03
 2.51384656e+03
 2.51363354e+03
 2.51339660e+03
 2.50905053e+03
 2.51341165e+03
 2.51330580e+03
 2.51328061e+03
 2.51333059e+03
 2.51338705e+03
 2.51341837e+03
 2.51352422e+03
 2.51341761e+03
 2.51331056e+03
 2.51339730e+03
 2.51387861e+03
 2.51370731e+03
 2.51339246e+03
 2.51343546e+03
 2.51338374e+03
 2.51329322e+03
 2.51335841e+03
 2.51345689e+03
 2.51352821e+03
 2.51377102e+03
 2.51391470e+03
 2.51371389e+03
 2.51361010e+03
 2.51372450e+03
 2.51379657e+03
 2.51372450e+03
 2.51359981e+03
 2.51341837e+03
 2.51332461e+03
 2.51348878e+03
 2.51337408e+03
 2.51336729e+03
 2.51361821e+03
 2.51328461e+03
 2.51327438e+03
 2.51340437e+03
 2.51353732e+03
 2.51347429e+03
 2.51346812e+03
 2.51354244e+03
 2.51339870e+03
 2.51344436e+03
 2.51352125e+03
 2.51352723e+03
 2.51351437e+03
 2.51355389e+03
 2.51360094e+03
 2.51351340e+03
 2.51351925e+03
 2.51364435e+03
 2.51352422e+03
 2.51337408e+03
 2.51328342e+03
 Inf
 2.51327631e+03
 2.51339042e+03
 2.51355179e+03
 2.51328029e+03
 Inf
 Inf
 Inf
 Inf
 2.51327756e+03
 Inf
 1.61515936e+308
 Inf
 Inf
 5.52480748e+301
 Inf
 Inf
 Inf
 Inf
 2.51332067e+03
 2.51336973e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327415e+03
 2.51335498e+03
 2.51330943e+03
 2.51327869e+03
 2.51332918e+03
 2.51329083e+03
 Inf
 2.51330202e+03
 2.51332067e+03
 2.51330651e+03
 2.51330103e+03
 3.52602603e+156
 8.82398433e+66
 8.57925200e+74
 1.50105151e+87
 1.16853557e+98
 5.29672665e+110
 1.37523436e+112
 5.94528916e+94
 4.31162441e+82
 9.87477744e+85
 1.07386337e+94
 4.49775768e+92
 4.31316821e+97
 6.56097752e+110
 2.25247677e+119
 7.02032835e+101
 3.31822176e+102
 2.13919071e+132
 2.58168890e+170
 4.88538733e+217
 1.15398842e+180
 4.63400969e+211
 6.18876173e+218
 3.17838217e+186
 4.36664018e+170
 1.18837849e+203
 2.50917726e+221
 2.02540030e+187
 5.17626893e+191
 3.62430297e+180
 3.66184379e+192
 2.31016301e+253
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327883e+03
 2.51327911e+03
 Inf
 2.51327578e+03
 2.51327540e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327722e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327432e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328213e+03
 Inf
 Inf
 2.51328077e+03
 2.51327578e+03
 2.51327484e+03
 2.51327830e+03
 Inf
 2.51327897e+03
 2.51332417e+03
 2.51332370e+03
 2.51333297e+03
 2.51337598e+03
 2.51340152e+03
 2.51351437e+03
 2.51345015e+03
 2.51345604e+03
 2.51356450e+03
 2.51381835e+03
 2.51382589e+03
 2.51347966e+03
 2.51336729e+03
 2.51333394e+03
 2.51340581e+03
 2.51345267e+03
 2.51350187e+03
 2.51361241e+03
 2.51354141e+03
 2.51340945e+03
 2.51345183e+03
 2.51357205e+03
 2.51354346e+03
 2.51348147e+03
 2.51349809e+03
 2.51356237e+03
 2.51371257e+03
 2.51357423e+03
 2.51337918e+03
 2.51336548e+03
 2.51338705e+03
 2.51339730e+03
 2.51342524e+03
 2.51348511e+03
 2.51346376e+03
 2.51342679e+03
 2.51349621e+03
 2.51342064e+03
 2.51338242e+03
 2.51345016e+03
 2.51337918e+03
 2.51339660e+03
 2.51338177e+03
 2.51332024e+03
 2.51336973e+03
 2.51334406e+03
 2.51328178e+03
 2.51330474e+03
 2.51332024e+03
 2.51334512e+03
 2.51343948e+03
 2.51336973e+03
 2.51335107e+03
 2.51349528e+03
 2.51351928e+03
 2.51346987e+03
 2.51338638e+03
 2.51331648e+03
 2.51334672e+03
 2.51335498e+03
 2.51338907e+03
 2.51340152e+03
 2.51340010e+03
 2.51345435e+03
 2.51343786e+03
 2.51343627e+03
 2.51346031e+03
 2.51349063e+03
 2.51352621e+03
 2.51344849e+03
 2.51339178e+03
 2.51350952e+03
 2.51358522e+03
 2.51349621e+03
 2.51355389e+03
 2.51366770e+03
 2.51358522e+03
 2.51355706e+03
 2.51358080e+03
 2.51347966e+03
 2.51338177e+03
 2.51343948e+03
 2.51356237e+03
 2.51353527e+03
 2.51359415e+03
 2.51373795e+03
 2.51384508e+03
 2.51373794e+03
 2.51377522e+03
 2.51374884e+03
 2.51356665e+03
 2.51346203e+03
 2.51355599e+03
 2.51380813e+03
 2.51376123e+03
 2.51372450e+03
 2.51358967e+03
 2.51327768e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327465e+03
 2.51327768e+03
 Inf
 2.51328029e+03
 2.51331094e+03
 2.51327456e+03
 Inf
 Inf
 Inf
 2.51328213e+03
 2.51328381e+03
 2.51329032e+03
 2.51329083e+03
 2.51330337e+03
 2.51334146e+03
 2.51330337e+03
 2.51332197e+03
 2.51336073e+03
 2.51333154e+03
 2.51329607e+03
 2.51328267e+03
 2.51328481e+03
 2.51328587e+03
 2.51329057e+03
 Inf
 Inf
 Inf
 Inf
 2.51328286e+03
 2.51327587e+03
 2.51327419e+03
 2.51327452e+03
 Inf
 2.51328836e+03
 2.51331288e+03
 2.51331648e+03
 2.51331650e+03
 2.51327474e+03
 2.51328401e+03
 2.51331855e+03
 2.51328957e+03
 2.51328029e+03
 2.51327701e+03
 2.51328077e+03
 2.51330474e+03
 2.51328195e+03
 2.51328502e+03
 2.51328932e+03
 2.51327424e+03
 2.51328267e+03
 2.51335554e+03
 2.51344110e+03
 2.51336487e+03
 2.51332240e+03
 2.51336368e+03
 2.51336014e+03
 2.51335554e+03
 2.51336368e+03
 2.51338705e+03
 2.51338505e+03
 2.51340366e+03
 2.51346549e+03
 2.51345944e+03
 2.51335273e+03
 2.51331446e+03
 2.51332328e+03
 2.51330943e+03
 2.51335385e+03
 2.51341165e+03
 2.51347967e+03
 2.51341091e+03
 2.51331327e+03
 2.51336668e+03
 2.51337472e+03
 2.51332067e+03
 2.51333840e+03
 2.51333739e+03
 2.51332240e+03
 2.51334406e+03
 2.51332417e+03
 2.51336428e+03
 2.51344191e+03
 2.51341912e+03
 2.51337853e+03
 2.51337097e+03
 2.51332596e+03
 Inf
 Inf
 2.51328675e+03
 2.51327998e+03
 Inf
 2.51336789e+03
 2.51368919e+03
 2.51356343e+03
 2.51345435e+03
 2.51344029e+03
 2.51355811e+03
 2.51347966e+03
 2.51351340e+03
 2.51371785e+03
 2.51367520e+03
 2.51367148e+03
 Inf
 1.90257425e+200
 2.55606917e+281
 Inf
 1.64309207e+229
 2.54637681e+228
 3.18215547e+186
 7.62799463e+200
 2.94077940e+238
 7.12098152e+192
 2.64572217e+218
 3.76513270e+241
 1.78958400e+231
 2.89846528e+214
 1.35607549e+202
 8.28674371e+222
 1.78485441e+231
 7.69870089e+215
 2.54329499e+213
 4.85946522e+223
 4.93512988e+217
 4.45563598e+220
 9.00758278e+206
 6.50584435e+179
 6.11362535e+155
 4.11313480e+164
 6.54381601e+181
 6.47995954e+179
 4.56656163e+188
 3.66743080e+192
 7.63659939e+200
 8.21602430e+250
 3.42397366e+295
 1.70160278e+245
 2.00338756e+236
 4.26531125e+225
 2.19178478e+196
 2.27743511e+254
 2.81129003e+259
 2.96192641e+249
 Inf
 2.42789545e+252
 2.46128360e+188
 6.16254646e+218
 Inf
 3.71742367e+247
 2.52549364e+221
 1.58057610e+292
 Inf
 1.04312613e+261
 4.04870210e+276
 1.04501973e+276
 2.70746254e+275
 Inf
 Inf
 Inf
 9.18482438e+199
 6.17635411e+218
 7.31669044e+255
 1.08384490e+238
 Inf
 Inf
 Inf
 Inf
 1.83096420e+298
 1.25432832e+247
 2.80852293e+259
 Inf
 Inf
 Inf
 7.81928172e+290
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.86564822e+268
 8.60887595e+242
 3.72407257e+297
 9.35470684e+259
 2.14455793e+217
 2.58624263e+258
 3.09916390e+260
 1.61945787e+227
 3.26711420e+248
 5.02022399e+269
 2.12646481e+211
 5.59402446e+233
 7.25189106e+292
 Inf
 2.51333992e+03
 2.51397826e+03
 2.51382420e+03
 2.51376265e+03
 2.51391150e+03
 2.51383608e+03
 2.51371257e+03
 2.51412538e+03
 2.51409615e+03
 2.51358301e+03
 2.51368153e+03
 2.51378798e+03
 2.51365409e+03
 2.51365502e+03
 2.51362643e+03
 2.51362755e+03
 2.51368536e+03
 2.51353629e+03
 2.51338047e+03
 2.51340581e+03
 2.51355389e+03
 2.51364315e+03
 2.51355179e+03
 2.51360436e+03
 2.51357205e+03
 2.51341165e+03
 2.51343867e+03
 2.51350856e+03
 2.51368536e+03
 2.51354657e+03
 2.51337725e+03
 2.51341387e+03
 2.51353123e+03
 2.51359754e+03
 2.51354450e+03
 2.51354248e+03
 2.51352721e+03
 2.51355179e+03
 2.51362407e+03
 2.51361355e+03
 2.51359867e+03
 2.50641513e+03
 2.51368154e+03
 2.51375022e+03
 2.51352124e+03
 2.51349716e+03
 2.51362290e+03
 2.51349621e+03
 2.51348787e+03
 2.51359191e+03
 2.51359984e+03
 2.51371389e+03
 2.51381835e+03
 2.51395345e+03
 2.51401375e+03
 2.51360780e+03
 2.51347967e+03
 2.51359528e+03
 2.51361706e+03
 2.51372717e+03
 2.51365655e+03
 2.51360322e+03
 2.51356989e+03
 2.51352922e+03
 2.51357970e+03
 2.51355705e+03
 2.51363833e+03
 2.51364802e+03
 2.51353936e+03
 2.51359191e+03
 2.51379657e+03
 2.51367270e+03
 2.51340010e+03
 2.51344028e+03
 2.51365043e+03
 2.51360664e+03
 2.51354761e+03
 2.51348970e+03
 2.51348884e+03
 2.51343706e+03
 2.51344766e+03
 2.51357205e+03
 2.51374066e+03
 2.51380959e+03
 2.51359191e+03
 2.51346376e+03
 2.51346543e+03
 2.51351731e+03
 2.51369950e+03
 2.51366271e+03
 2.51349434e+03
 2.51353223e+03
 2.51354762e+03
 2.51346289e+03
 2.51342757e+03
 2.51358967e+03
 2.51361474e+03
 2.51360550e+03
 2.51369691e+03
 2.51362055e+03
 2.51362877e+03
 2.51376125e+03
 2.51373792e+03
 2.51367271e+03
 2.51372050e+03
 2.51377242e+03
 2.51371918e+03
 2.51375295e+03
 2.51364073e+03
 2.51359079e+03
 2.51358081e+03
 2.51349063e+03
 2.51349338e+03
 2.51353528e+03
 2.51357641e+03
 2.51342835e+03
 2.51349062e+03
 2.51358633e+03
 2.51345945e+03
 2.51338047e+03
 2.51338839e+03
 2.51343546e+03
 2.51342293e+03
 2.51339521e+03
 2.51344355e+03
 2.51346550e+03
 2.51338374e+03
 2.51353936e+03
 2.51374884e+03
 2.51375317e+03
 2.51368027e+03
 2.51354970e+03
 2.51364677e+03
 2.51357205e+03
 2.51353834e+03
 2.51361010e+03
 2.51354347e+03
 2.51368281e+03
 2.51356130e+03
 2.51346203e+03
 2.51361356e+03
 2.51363357e+03
 2.51372985e+03
 2.51377383e+03
 2.51368027e+03
 2.51366398e+03
 2.51368408e+03
 2.51358744e+03
 2.51340581e+03
 2.51356130e+03
 2.51373389e+03
 2.51343387e+03
 2.51336668e+03
 2.51346376e+03
 2.51339383e+03
 2.51336191e+03
 2.51348057e+03
 2.51358967e+03
 2.51364436e+03
 2.51345520e+03
 2.51340799e+03
 2.51342757e+03
 2.51341686e+03
 2.51342140e+03
 2.51336132e+03
 2.51338439e+03
 2.51343228e+03
 2.51341018e+03
 2.51341312e+03
 2.51346987e+03
 2.51357314e+03
 2.51362173e+03
 2.51346376e+03
 2.51343071e+03
 2.51353224e+03
 2.51351632e+03
 2.51342992e+03
 2.51342294e+03
 2.51352223e+03
 2.51352527e+03
 2.51340581e+03
 2.51332641e+03
 2.51343466e+03
 2.51354347e+03
 2.51339660e+03
 2.51340509e+03
 2.51338907e+03
 2.51341686e+03
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 2.51338638e+03
 Inf
 Inf
 Inf
 Inf
 2.45339909e+266
 5.91236467e+160
 7.58408931e+200
 2.51327983e+03
 Inf
 Inf
 2.51334565e+03
 2.51331056e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.09894194e+221
 1.36837331e+154
 1.62393807e+146
 3.78128198e+182
 2.86353899e+307
 Inf
 2.51328401e+03
 Inf
 Inf
 2.51327448e+03
 Inf
 2.51328160e+03
 Inf
 Inf
 2.51327479e+03
 2.51327805e+03
 4.97995780e+240
 3.47335142e+261
 2.51328014e+03
 1.22152202e+182
 3.23164082e+105
 2.19173068e+183
 6.93897124e+274
 2.97290757e+137
 1.86649732e+92
 4.70033782e+114
 3.82461970e+190
 Inf
 Inf
 2.32772206e+204
 7.88299434e+136
 8.88244406e+153
 1.02991025e+104
 6.35710089e+109
 3.89498137e+216
 Inf
 3.16352199e+232
 9.02963876e+111
 2.15673211e+199
 Inf
 2.93379357e+175
 2.76528758e+117
 1.33555731e+87
 3.80955958e+87
 5.27174306e+110
 3.09070536e+113
 3.55022252e+78
 2.41250921e+95
 4.28104002e+287
 2.27450777e+183
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 2.51334198e+03
 2.51329491e+03
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 2.51336668e+03
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 2.51368409e+03
 2.51364314e+03
 2.51404308e+03
 2.51433712e+03
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 2.51404136e+03
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 2.51510517e+03
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 2.51501213e+03
 2.51448766e+03
 2.51442505e+03
 2.51379513e+03
 2.51347429e+03
 2.51338639e+03
 Inf
 Inf
 Inf
 2.51327413e+03
 Inf
 Inf
 2.51330544e+03
 2.51335052e+03
 2.51341611e+03
 2.51328014e+03
 Inf
 2.51327438e+03
 2.51327843e+03
 Inf
 2.51327578e+03
 2.51340945e+03
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 2.51361937e+03
 2.51351927e+03
 2.51376821e+03
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 2.51341912e+03
 2.51335726e+03
 2.51328544e+03
 2.51327830e+03
 2.51331327e+03
 2.51328587e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.57911500e+280
 1.76928302e+216
 Inf
 1.35063573e+285
 6.95812692e+182
 3.42831397e+148
 3.37876293e+106
 6.03581685e+96
 5.37603346e+95
 4.31294545e+82
 4.05344061e+69
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 1.01192931e+60
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 5.40619129e+60
 8.95424450e+65
 1.37126678e+67
 2.84437133e+59
 2.71292471e+60
 7.60568952e+55
 4.20694703e+52
 2.44550424e+57
 1.26028257e+57
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 2.70328640e+50
 5.24146418e+53
 7.18354815e+55
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 4.15025484e+50
 3.17024180e+52
 1.36352153e+53
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 1.26101314e+48
 1.51918147e+46
 7.08700218e+48
 1.25783625e+48
 1.49978923e+44
 5.41060540e+42
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 2.63739975e+45
 4.00667290e+42
 1.50899704e+41
 6.13173721e+44
 2.88542814e+46
 2.26132923e+47
 1.76003904e+50
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 7.72485945e+46
 2.57995619e+50
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 2.66544124e+58
 6.03642138e+57
 3.93611924e+53
 2.39406807e+55
 8.88580129e+55
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 3.82446899e+59
 1.21591681e+60
 2.95745688e+62
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 1.86726407e+59
 1.00722510e+58
 7.06174467e+53
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 8.38440717e+51
 4.00454043e+52
 6.97732647e+50
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 4.87455513e+43
 2.00251775e+44