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 4.34196417e+48
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 1.50919415e+86
 2.92733649e+126
 8.72306342e+160
 7.09303700e+159
 Inf
 6.22700090e+257
 1.49767509e+136
 1.90951707e+157
 2.58957214e+219
 4.53014726e+141
 7.18415418e+94
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 3.24188993e+104
 2.18458839e+142
 2.19670540e+167
 1.48776517e+142
 5.54381644e+134
 4.71189352e+191
 Inf
 5.11128542e+185
 2.02349649e+107
 5.51679472e+169
 6.83658989e+209
 1.92740443e+186
 Inf
 1.32537278e+140
 2.36626970e+153
 Inf
 7.69755680e+127
 1.57532274e+88
 1.69998815e+102
 1.25752413e+105
 5.81167485e+88
 7.09467453e+97
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 4.52756416e+19
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 1.94072348e+32
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 1.72294423e+24
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 7.05008019e+217
 3.67186160e+92
 1.00698806e+84
 9.84989410e+89
 5.91594421e+121
 7.34689797e+142
 Inf
 1.04335504e+254
 8.17330118e+104
 1.15585975e+223
 Inf
 4.50792847e+177
 2.27594064e+48
 2.98194910e+37
 1.79838907e+66
 5.22474177e+75
 6.45522625e+144
 2.36134366e+94
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 2.77167520e+28
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 7.84826568e+36
 1.54586882e+38
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 7.83405421e+36
 3.51288591e+39
 1.61271395e+40
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 4.32913702e+59
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 7.12765299e+193
 4.98874237e+296
 4.37941892e+166
 2.28572084e+200
 4.24467259e+137
 7.60492543e+74
 Inf
 Inf
 2.67495131e+159
 3.95843774e+127
 2.67887299e+122
 8.30678130e+116
 5.41372654e+93
 5.14996812e+92
 1.39567906e+87
 1.95042805e+53
 1.25515258e+38
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 8.43640606e+42
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 1.19098546e+37
 4.00819222e+35
 2.80514822e+35
 1.93634663e+37
 1.97075594e+39
 6.54790157e+35
 5.20398338e+28
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 1.77993722e+31
 6.05093336e+31
 5.62382325e+32
 9.95019369e+37
 7.38278323e+39
 4.47166941e+44
 3.48431336e+64
 5.20035082e+67
 2.20082673e+51
 4.60078389e+41
 9.67211346e+37
 3.09645057e+35
 1.30439946e+29
 2.25070088e+28
 9.49951175e+26
 5.09035630e+24
 9.07707063e+26
 1.85710544e+33
 3.28508611e+31
 2.63756994e+28
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 6.94093652e+28
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 3.40277071e+29
 1.69493594e+32
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 3.56429459e+30
 3.79057051e+32
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 7.80066368e+25
 6.04509259e+26
 1.78169557e+31
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 1.86603861e+37
 7.37811629e+39
 1.65290545e+44
 5.96156193e+40
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 Inf
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 Inf
 2.08302541e+282
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 1.04377627e+147
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 Inf
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 7.80432814e+44
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 8.11375410e+282
 5.03749222e+256
 Inf
 Inf
 Inf
 Inf
 Inf
 3.56620745e+232
 2.05333021e+141
 1.79799855e+216
 Inf
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 1.91351900e+139
 4.11078390e+94
 1.17168367e+48
 2.17078138e+37
 1.81168537e+44
 6.93863948e+45
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 Inf
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 Inf
 6.51411967e-06
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 6.51486125e-06
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 6.51454576e-06
 6.51453241e-06
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 Inf
 Inf
 6.51421912e-06
 6.51457825e-06
 6.51459282e-06
 6.51455734e-06
 6.51467680e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51418815e-06
 6.51450911e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.65160716e+239
 6.72720246e+144
 1.30493009e+138
 3.40310394e+135
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 2.09442796e+242
 6.99482021e+266
 5.25457621e+235
 5.87969068e+195
 1.86845142e+284
 4.14071948e+283
 7.31884044e+250
 Inf
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 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51438236e-06
 6.51455566e-06
 6.51464975e-06
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 6.51531646e-06
 6.51490502e-06
 6.51497982e-06
 6.51487456e-06
 6.51476884e-06
 6.51474376e-06
 Inf
 6.51443317e-06
 6.51451916e-06
 Inf
 6.51430068e-06
 6.51458262e-06
 6.51458517e-06
 6.51470874e-06
 6.51454301e-06
 6.51451324e-06
 Inf
 Inf
 6.51430484e-06
 6.51481108e-06
 6.51489148e-06
 6.51464254e-06
 6.51468563e-06
 6.51470212e-06
 6.51482959e-06
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 6.51496145e-06
 6.51495452e-06
 6.51501688e-06
 6.51488729e-06
 6.51468778e-06
 6.51474694e-06
 Inf
 Inf
 Inf
 Inf
 4.70743391e+222
 1.94568402e+140
 9.84254162e+105
 1.38066818e+102
 4.92555240e+88
 5.92049010e+74
 2.39106422e+60
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 2.50273302e+59
 7.16957158e+57
 2.31889139e+55
 2.67299876e+53
 2.78632088e+63
 4.82177788e+65
 1.73746980e+57
 7.84918150e+61
 1.10829857e+69
 3.22793731e+68
 6.26581220e+62
 7.00485714e+70
 1.82138014e+88
 1.56060474e+89
 9.26707188e+111
 1.69066763e+165
 6.48024323e+242
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.82061740e+240
 3.48908692e+232
 Inf
 Inf
 Inf
 6.51428703e-06
 Inf
 Inf
 1.94876993e+247
 2.41056104e+208
 1.08582884e+201
 4.78247980e+191
 2.06663681e+164
 1.04524409e+124
 1.05518322e+129
 5.25877238e+162
 2.37344174e+251
 8.91036917e+263
 Inf
 Inf
 1.17618275e+191
 6.79036030e+161
 2.05082008e+211
 Inf
 Inf
 Inf
 Inf
 6.51416780e-06
 6.51449491e-06
 6.51457447e-06
 6.51534350e-06
 6.51588816e-06
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 6.51533197e-06
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 6.51742929e-06
 6.51638038e-06
 6.51597956e-06
 6.51579874e-06
 6.51542746e-06
 6.51508236e-06
 Inf
 Inf
 8.89209502e+206
 1.33478291e+185
 9.92907473e+280
 Inf
 Inf
 7.29455201e+293
 2.97492719e+204
 8.73123604e+206
 7.34785972e+156
 6.08015142e+125
 2.34185630e+125
 1.97850560e+137
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 1.97354510e+137
 1.71582732e+156
 8.79036769e+160
 2.61430194e+159
 4.22053018e+137
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 1.30637399e+140
 5.66117466e+126
 1.09137012e+133
 6.62297208e+144
 4.07735909e+138
 6.60259351e+155
 4.91535550e+183
 2.00282620e+243
 Inf
 Inf
 6.51437220e-06
 6.51448390e-06
 6.51534456e-06
 6.51635865e-06
 6.51688492e-06
 6.51868666e-06
 6.52064581e-06
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 6.52123398e-06
 6.52326994e-06
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 6.51729083e-06
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 6.51800810e-06
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 6.51790126e-06
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 6.51874542e-06
 6.47990190e-06
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 6.51555722e-06
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 6.51651723e-06
 6.51655255e-06
 6.51649119e-06
 6.51593784e-06
 6.51540122e-06
 6.51506584e-06
 Inf
 Inf
 6.43028349e+269
 1.85292876e+184
 3.84438873e+132
 1.58705778e+155
 1.92853125e+140
 9.71145853e+110
 2.63202622e+102
 2.65139072e+87
 1.10512198e+76
 3.06916879e+73
 1.12526762e+79
 1.88944274e+71
 2.57317359e+63
 3.61964665e+66
 8.59692511e+78
 2.29572544e+90
 3.42242985e+108
 8.92739844e+122
 1.91399622e+140
 7.81818762e+180
 2.74242632e+292
 Inf
 Inf
 6.51435660e-06
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 6.51875489e-06
 6.52138588e-06
 6.52526581e-06
 6.53097268e-06
 6.53422136e-06
 6.53588280e-06
 6.53658837e-06
 6.53656280e-06
 6.53554228e-06
 6.53245371e-06
 6.53232694e-06
 6.53232536e-06
 6.52835199e-06
 6.52623291e-06
 6.52670223e-06
 6.52588005e-06
 6.52281572e-06
 6.52117324e-06
 6.51980429e-06
 6.51838260e-06
 6.51726815e-06
 6.51596147e-06
 6.51516966e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.41995219e+234
 Inf
 6.51391620e-06
 6.51452541e-06
 6.51498177e-06
 6.51534219e-06
 6.51570969e-06
 6.51685674e-06
 6.51934031e-06
 6.52102455e-06
 6.52245434e-06
 6.52229350e-06
 6.52276770e-06
 6.52062422e-06
 6.51763556e-06
 6.51624088e-06
 Inf
 Inf
 Inf
 3.88233124e+225
 1.29839178e+261
 Inf
 Inf
 6.51411019e-06
 6.51445938e-06
 6.51543357e-06
 6.51685369e-06
 6.51769630e-06
 6.51807807e-06
 6.51794291e-06
 6.51671608e-06
 6.51593969e-06
 6.51597624e-06
 6.51608527e-06
 6.51578754e-06
 6.51557994e-06
 6.51606572e-06
 6.51682679e-06
 6.51678151e-06
 6.51804527e-06
 6.51977075e-06
 6.51993711e-06
 6.52010725e-06
 6.52015820e-06
 6.52199531e-06
 6.52279205e-06
 6.52211187e-06
 6.52366225e-06
 6.52193340e-06
 6.52033527e-06
 6.52006787e-06
 6.51937547e-06
 6.51981956e-06
 6.52077542e-06
 6.51974323e-06
 6.51873672e-06
 6.51914461e-06
 6.51782060e-06
 6.51626812e-06
 6.51538842e-06
 6.51497067e-06
 Inf
 Inf
 9.76509816e+288
 3.60622734e+260
 2.34792164e+198
 1.23374386e+116
 2.63726989e+111
 1.89986959e+117
 2.07061450e+148
 1.64113591e+220
 1.27416510e+237
 Inf
 Inf
 Inf
 Inf
 6.51446491e-06
 6.51444982e-06
 6.51558466e-06
 6.51608235e-06
 6.51621684e-06
 6.51628276e-06
 6.51601261e-06
 6.51534391e-06
 Inf
 6.51433495e-06
 6.51454745e-06
 Inf
 Inf
 Inf
 2.09179549e+211
 5.13585187e+279
 Inf
 Inf
 6.51402454e-06
 6.51443329e-06
 6.51468008e-06
 6.51443856e-06
 6.51455011e-06
 Inf
 Inf
 Inf
 3.56046318e+254
 1.89719376e+245
 2.14808942e+242
 Inf
 6.51412739e-06
 6.51452366e-06
 6.51448888e-06
 Inf
 6.51447001e-06
 6.51442554e-06
 6.51471522e-06
 6.51443678e-06
 6.51457281e-06
 6.51470040e-06
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 6.51623766e-06
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 6.51663911e-06
 6.51584340e-06
 6.51533190e-06
 6.51528866e-06
 6.51527611e-06
 6.51505438e-06
 Inf
 6.48554946e+234
 1.90895070e+146
 1.33498521e+108
 2.10882295e+86
 8.29447772e+81
 5.55082883e+77
 2.24388920e+66
 1.12457447e+70
 4.00186244e+66
 1.20903901e+62
 3.35313961e+76
 1.70459364e+83
 1.92087388e+80
 1.37425518e+78
 8.16786612e+77
 6.30574732e+77
 4.92326610e+79
 1.00457778e+81
 1.19465593e+77
 1.92856001e+70
 5.31899267e+65
 3.48808551e+67
 2.54235767e+74
 4.57671831e+96
 6.83724043e+88
 1.78903640e+78
 1.12765171e+79
 1.23921493e+69
 2.15966090e+73
 5.57582027e+76
 6.95681842e+73
 9.81008598e+64
 1.24449245e+60
 3.29365341e+60
 3.29639239e+58
 1.92662363e+68
 7.14377799e+77
 6.11112095e+72
 2.84544769e+84
 8.13595025e+87
 2.52186739e+79
 8.90108619e+99
 5.56926519e+129
 6.35732506e+109
 1.10558711e+100
 1.33968159e+104
 3.84538606e+101
 1.63714553e+102
 1.43511842e+117
 8.27721611e+125
 5.98866048e+121
 4.18470684e+137
 1.45387019e+161
 1.71325823e+262
 Inf
 6.15499772e+247
 9.94122670e+259
 Inf
 Inf
 Inf
 Inf
 1.00372344e+260
 Inf
 6.51439267e-06
 Inf
 Inf
 Inf
 2.82985455e+195
 4.97593162e+198
 7.96724242e+251
 3.70819688e+182
 1.52996988e+154
 3.36435086e+179
 1.09662706e+217
 2.85641088e+190
 2.57721511e+155
 2.82499601e+128
 1.47557754e+142
 3.21864562e+148
 1.59082664e+113
 1.68256863e+108
 1.66397172e+114
 2.67168186e+132
 1.07513840e+150
 2.08885570e+148
 3.16021648e+118
 3.66744228e+91
 3.60237080e+92
 5.24044702e+84
 5.10412659e+70
 2.97249751e+76
 9.66009495e+72
 2.27536893e+65
 3.85499662e+73
 1.15996804e+84
 4.29264554e+92
 2.16421787e+88
 4.16084893e+88
 2.13792121e+99
 2.51513783e+101
 2.44914553e+106
 2.35794476e+118
 6.02951798e+125
 4.60957736e+90
 4.16402593e+88
 2.46792068e+105
 9.98234459e+95
 1.94903541e+90
 2.54636725e+88
 1.83564217e+88
 1.27210711e+82
 6.28922705e+86
 8.25856594e+82
 5.95193999e+75
 3.90878413e+78
 1.82843218e+88
 8.17028125e+107
 4.10238368e+123
 1.21966713e+116
 6.84065015e+95
 4.79460224e+97
 8.78500439e+100
 1.64688765e+90
 3.22938718e+97
 5.57508737e+120
 1.46899809e+136
 2.35856354e+208
 7.04610874e+182
 4.31924484e+130
 7.63222915e+123
 2.36538116e+131
 2.80501787e+190
 7.23226936e+193
 1.11939484e+274
 Inf
 Inf
 Inf
 Inf
 6.51425971e-06
 6.51466924e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 2.73175810e+267
 Inf
 1.11381012e+217
 1.41896884e+190
 5.11199801e+279
 3.35392212e+264
 8.23938072e+275
 1.41508404e+298
 9.86253100e+232
 1.01808571e+226
 1.04530122e+268
 2.15385656e+242
 2.80769963e+229
 Inf
 Inf
 Inf
 6.86511770e+272
 Inf
 6.51404313e-06
 6.51458814e-06
 6.51471575e-06
 6.51483406e-06
 6.51480740e-06
 6.51469381e-06
 Inf
 Inf
 Inf
 1.02372951e+145
 4.46473389e+121
 7.91745986e+134
 9.39349881e+111
 3.26528341e+102
 4.03848087e+107
 1.20929747e+123
 1.51537305e+145
 2.89144347e+137
 1.26824340e+105
 1.58957319e+111
 1.24404535e+125
 1.44849346e+161
 Inf
 Inf
 Inf
 6.51426098e-06
 6.51444602e-06
 6.51459148e-06
 6.51452180e-06
 6.51461638e-06
 6.51449798e-06
 6.51453042e-06
 6.51459920e-06
 6.51477269e-06
 6.51439573e-06
 6.51457365e-06
 6.51486774e-06
 6.51510185e-06
 6.51570337e-06
 6.51641676e-06
 6.51622294e-06
 6.51543176e-06
 Inf
 6.51433214e-06
 6.51490122e-06
 6.49578367e-06
 6.51532508e-06
 6.51517475e-06
 6.51516007e-06
 6.51583283e-06
 6.51657029e-06
 6.51614810e-06
 6.51681534e-06
 6.51854035e-06
 6.51872969e-06
 6.51766516e-06
 6.51655478e-06
 6.51621275e-06
 6.51626677e-06
 6.51566520e-06
 6.51519099e-06
 6.51625215e-06
 6.51771367e-06
 6.51729876e-06
 6.51677907e-06
 6.51635999e-06
 6.51650668e-06
 6.51695894e-06
 6.51617370e-06
 6.51537756e-06
 6.51503436e-06
 6.51511470e-06
 6.51517900e-06
 6.51506547e-06
 6.51499799e-06
 6.51498061e-06
 6.51472741e-06
 6.51449061e-06
 6.51467169e-06
 6.51487307e-06
 6.51483672e-06
 6.51463370e-06
 6.51474526e-06
 6.51467119e-06
 Inf
 Inf
 Inf
 1.07578895e+200
 1.83876680e+184
 5.32299655e+172
 2.40473403e+177
 2.70591082e+217
 2.26005138e+280
 Inf
 1.31388256e+261
 Inf
 Inf
 6.66760777e+204
 1.45050073e+225
 2.33890337e+198
 1.92404004e+175
 3.76390285e+143
 3.25653525e+99
 1.53943150e+86
 2.05566008e+85
 1.78694173e+78
 1.17087579e+68
 2.98786989e+66
 1.49903599e+57
 8.83600925e+55
 1.97489004e+59
 4.24432272e+67
 5.50444213e+83
 6.31991119e+77
 6.41537559e+83
 4.05172167e+94
 5.38100411e+93
 2.03542435e+111
 3.16239571e+174
 2.83694842e+190
 1.08268549e+201
 3.51250780e+193
 1.20630045e+203
 Inf
 6.51414824e-06
 6.51445366e-06
 6.51462298e-06
 6.51496022e-06
 6.51520808e-06
 6.51500479e-06
 6.51495478e-06
 6.51618008e-06
 6.51791759e-06
 6.51985074e-06
 6.51892402e-06
 6.51852411e-06
 6.51957204e-06
 6.52107845e-06
 6.52046872e-06
 6.51947683e-06
 6.51970625e-06
 6.52008770e-06
 6.51996930e-06
 6.51876985e-06
 6.51755866e-06
 6.51716144e-06
 6.51728820e-06
 6.51787575e-06
 6.51740144e-06
 6.51678013e-06
 6.51722446e-06
 6.51730589e-06
 6.51761461e-06
 6.51784402e-06
 6.51674102e-06
 6.51581307e-06
 6.51580603e-06
 6.51595037e-06
 6.51559251e-06
 6.51527061e-06
 6.51522095e-06
 6.51529167e-06
 6.51544733e-06
 6.51545461e-06
 6.51519780e-06
 6.51493538e-06
 Inf
 Inf
 Inf
 Inf
 6.51428617e-06
 6.51475729e-06
 6.51454702e-06
 6.51451603e-06
 6.51455057e-06
 6.51476565e-06
 6.51504452e-06
 6.51521513e-06
 6.51690023e-06
 6.51773814e-06
 6.51690531e-06
 6.51678862e-06
 6.51651789e-06
 6.51593560e-06
 6.51580734e-06
 6.51658401e-06
 6.51715241e-06
 6.51763572e-06
 6.51855675e-06
 6.51925822e-06
 6.52052862e-06
 6.51980354e-06
 6.51978669e-06
 6.52131351e-06
 6.52233029e-06
 6.52254216e-06
 6.52268015e-06
 6.52165872e-06
 6.52044785e-06
 6.51889088e-06
 6.51811219e-06
 6.52181894e-06
 6.52239984e-06
 6.51896357e-06
 6.51805758e-06
 6.51811506e-06
 6.51820942e-06
 6.51768113e-06
 6.51736854e-06
 6.51788306e-06
 6.51788233e-06
 6.51858323e-06
 6.51852998e-06
 6.51726202e-06
 6.51711552e-06
 6.51683854e-06
 6.51593583e-06
 6.51536078e-06
 6.51505706e-06
 Inf
 Inf
 Inf
 6.33929979e+243
 7.08597184e+189
 1.52009647e+178
 3.49869664e+193
 5.23600310e+178
 2.25502755e+290
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51426369e-06
 6.51456793e-06
 Inf
 6.51424437e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51435495e-06
 6.51452776e-06
 6.51474468e-06
 6.51479935e-06
 6.51456857e-06
 6.51447939e-06
 6.51489816e-06
 6.51509590e-06
 6.51502192e-06
 6.51501864e-06
 6.51498919e-06
 Inf
 Inf
 6.51416280e-06
 6.51450749e-06
 6.51456989e-06
 6.51457982e-06
 6.51488721e-06
 6.51482662e-06
 6.51465989e-06
 6.50577073e-06
 6.51477474e-06
 6.51454759e-06
 6.51489213e-06
 6.51510136e-06
 6.51509039e-06
 6.51511107e-06
 6.51488665e-06
 6.51465833e-06
 6.51474132e-06
 6.51468688e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.06398089e+246
 1.00489735e+281
 Inf
 Inf
 4.11763586e+299
 6.20646543e+257