# # # Copyright (c) 2014, Peter A.M. van Hoof. # # These data are provided 'as-is', without any express or implied warranty. In # no event will the author be held liable for any damages arising from the use # of these data. # # Permission is granted to anyone to use these data for any purpose, including # commercial applications, and to alter them and redistribute them freely, # subject to the following restrictions: # # 1. The origin of these data must not be misrepresented; you must not claim # that you created the original data. If you use these data in a product, # an acknowledgment in the product documentation would be appreciated but # is not required. # 2. Altered data versions must be plainly marked as such, and must not be # misrepresented as being the original data. # 3. This notice may not be removed or altered from any further distribution. # # Peter A.M. van Hoof # Royal Observatory of Belgium # Ringlaan 3 # B-1180 Brussels # Belgium # p.vanhoof@oma.be # # 20140510 # magic number 81 146 # number of grid points in gam2 and u direction -6 # start value for log(gam2) -16 # start value for log(u) 2e-1 # stepsize in dex for log(gam2) and log(u) 13 # atomic number Z # # This table gives pure Bethe-Heitler-Elwert thermally averaged Gaunt factors. # # Each row gives Gaunt factors for a constant value of log(u) # the first value is for log(gam2) = -6, the second for log(gam2) = -5.8, etc. # # Each column gives Gaunt factors for a constant value of log(gam2) # the first value is for log(u) = -16, the second for log(u) = -15.8, etc. # 2.19205016e+03 1.72425176e+03 1.35615354e+03 1.06653282e+03 8.38679269e+02 6.59436400e+02 5.18447264e+02 4.07558689e+02 3.20353552e+02 2.51781899e+02 1.97870872e+02 1.55496932e+02 1.22208139e+02 9.60860277e+01 7.56405718e+01 5.97304931e+01 4.75003742e+01 3.83186119e+01 3.16983845e+01 2.72008014e+01 2.43627317e+01 2.27026827e+01 2.17910421e+01 2.13098263e+01 2.10590475e+01 2.09269880e+01 2.08556305e+01 2.08158066e+01 2.07928645e+01 2.07792918e+01 2.07710954e+01 2.07660720e+01 2.07629619e+01 2.07610233e+01 2.07598102e+01 2.07590479e+01 2.07585686e+01 2.07582669e+01 2.07580767e+01 2.07579568e+01 2.07578813e+01 2.07578339e+01 2.07578034e+01 2.07577845e+01 2.07577726e+01 2.07577649e+01 2.07577603e+01 2.07577573e+01 2.07577555e+01 2.07577539e+01 2.07577534e+01 2.07577528e+01 2.07577526e+01 2.07577524e+01 2.07577521e+01 2.07577522e+01 2.07577521e+01 2.07577521e+01 2.07577523e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577521e+01 2.07577522e+01 2.07577520e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577523e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577519e+01 2.07577521e+01 2.07577522e+01 2.07577523e+01 2.07577521e+01 2.07577521e+01 2.07577518e+01 2.17070432e+03 1.70729620e+03 1.34268547e+03 1.05583463e+03 8.30181347e+02 6.52686367e+02 5.13085513e+02 4.03299653e+02 3.16970426e+02 2.49094507e+02 1.95736033e+02 1.53800870e+02 1.20860299e+02 9.50142396e+01 7.47869905e+01 5.90483611e+01 4.69511920e+01 3.78700331e+01 3.13228174e+01 2.68751063e+01 2.40686152e+01 2.24270829e+01 2.15256220e+01 2.10497831e+01 2.08017986e+01 2.06712125e+01 2.06006487e+01 2.05612669e+01 2.05385817e+01 2.05251599e+01 2.05170542e+01 2.05120857e+01 2.05090101e+01 2.05070929e+01 2.05058931e+01 2.05051393e+01 2.05046653e+01 2.05043669e+01 2.05041788e+01 2.05040602e+01 2.05039855e+01 2.05039387e+01 2.05039085e+01 2.05038898e+01 2.05038780e+01 2.05038705e+01 2.05038659e+01 2.05038629e+01 2.05038612e+01 2.05038596e+01 2.05038590e+01 2.05038585e+01 2.05038582e+01 2.05038580e+01 2.05038578e+01 2.05038579e+01 2.05038578e+01 2.05038578e+01 2.05038580e+01 2.05038578e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038579e+01 2.05038578e+01 2.05038577e+01 2.05038576e+01 2.05038576e+01 2.05038578e+01 2.05038579e+01 2.05038580e+01 2.05038578e+01 2.05038578e+01 2.05038575e+01 2.14935866e+03 1.69034074e+03 1.32921730e+03 1.04513658e+03 8.21683514e+02 6.45936228e+02 5.07723639e+02 3.99040542e+02 3.13587276e+02 2.46407129e+02 1.93601175e+02 1.52104825e+02 1.19512467e+02 9.39424623e+01 7.39334180e+01 5.83662301e+01 4.64020078e+01 3.74214549e+01 3.09472612e+01 2.65494019e+01 2.37745017e+01 2.21514836e+01 2.12602015e+01 2.07897370e+01 2.05445509e+01 2.04154355e+01 2.03456652e+01 2.03067273e+01 2.02842965e+01 2.02710251e+01 2.02630102e+01 2.02580979e+01 2.02550566e+01 2.02531595e+01 2.02519732e+01 2.02512278e+01 2.02507591e+01 2.02504640e+01 2.02502781e+01 2.02501608e+01 2.02500869e+01 2.02500406e+01 2.02500108e+01 2.02499923e+01 2.02499807e+01 2.02499732e+01 2.02499687e+01 2.02499657e+01 2.02499640e+01 2.02499624e+01 2.02499619e+01 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4.91638269e+02 3.86263401e+02 3.03437909e+02 2.38344950e+02 1.87196721e+02 1.47016648e+02 1.15468987e+02 9.07270968e+01 7.13727035e+01 5.63198131e+01 4.47544633e+01 3.60757145e+01 2.98205732e+01 2.55723117e+01 2.28921475e+01 2.13246817e+01 2.04639412e+01 2.00095958e+01 1.97728095e+01 1.96481086e+01 1.95807211e+01 1.95431093e+01 1.95214434e+01 1.95086229e+01 1.95008786e+01 1.94961331e+01 1.94931946e+01 1.94913632e+01 1.94902172e+01 1.94894971e+01 1.94890442e+01 1.94887592e+01 1.94885795e+01 1.94884662e+01 1.94883949e+01 1.94883501e+01 1.94883213e+01 1.94883035e+01 1.94882922e+01 1.94882850e+01 1.94882806e+01 1.94882777e+01 1.94882761e+01 1.94882746e+01 1.94882740e+01 1.94882735e+01 1.94882733e+01 1.94882731e+01 1.94882729e+01 1.94882729e+01 1.94882729e+01 1.94882728e+01 1.94882730e+01 1.94882728e+01 1.94882728e+01 1.94882727e+01 1.94882729e+01 1.94882729e+01 1.94882729e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882730e+01 1.94882729e+01 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2.92858707e+00 1.50175360e+00 8.94747627e-01 6.49454086e-01 5.72109067e-01 5.77903900e-01 6.27381380e-01 6.99961483e-01 7.82750524e-01 2.21151200e+25 1.65590098e+25 1.23529196e+25 9.17656783e+24 6.78432174e+24 4.98803764e+24 3.64380879e+24 2.64173389e+24 1.89802370e+24 1.34891884e+24 9.46005974e+23 6.52612388e+23 4.41032689e+23 2.90389850e+23 1.84982185e+23 1.12995253e+23 6.54904216e+22 3.56110589e+22 1.79941736e+22 8.41430484e+21 3.65753038e+21 1.49756903e+21 5.88268722e+20 2.25806270e+20 8.59630022e+19 3.27839661e+19 1.25949695e+19 4.88428622e+18 1.91121215e+18 7.53294256e+17 2.98405674e+17 1.18563339e+17 4.71777539e+16 1.87832231e+16 7.47925553e+15 2.97807180e+15 1.18573764e+15 4.72088245e+14 1.87951205e+14 7.48271086e+13 2.97898089e+13 1.18596881e+13 4.72146512e+12 1.87965898e+12 7.48308332e+11 2.97907653e+11 1.18599415e+11 4.72153721e+10 1.87968238e+10 7.48317528e+09 2.97912068e+09 1.18601849e+09 4.72168203e+08 1.87977153e+08 7.48373238e+07 2.97947076e+07 1.18623900e+07 4.72307227e+06 1.88064831e+06 7.48926201e+05 2.98295784e+05 1.18843763e+05 4.73693084e+04 1.88938022e+04 7.54425061e+03 3.01756341e+03 1.21019890e+03 4.87367023e+02 1.97526617e+02 8.08406124e+01 3.35798165e+01 1.42685397e+01 6.28147168e+00 2.92858705e+00 1.50175360e+00 8.94747638e-01 6.49454088e-01 5.72109070e-01 5.77903894e-01 6.27381380e-01 6.99961473e-01 5.55506698e+25 4.15943520e+25 3.10291312e+25 2.30504962e+25 1.70414457e+25 1.25293841e+25 9.15283386e+24 6.63573551e+24 4.76761997e+24 3.38833093e+24 2.37625957e+24 1.63928820e+24 1.10782403e+24 7.29426323e+23 4.64654241e+23 2.83831244e+23 1.64504501e+23 8.94509358e+22 4.51993204e+22 2.11357782e+22 9.18730094e+21 3.76172332e+21 1.47766422e+21 5.67199707e+20 2.15929299e+20 8.23495996e+19 3.16371330e+19 1.22687723e+19 4.80074787e+18 1.89218962e+18 7.49561162e+17 2.97817643e+17 1.18505160e+17 4.71813231e+16 1.87870404e+16 7.48057812e+15 2.97843827e+15 1.18583204e+15 4.72112071e+14 1.87957193e+14 7.48286132e+13 2.97901873e+13 1.18597827e+13 4.72148898e+12 1.87966498e+12 7.48309833e+11 2.97908033e+11 1.18599509e+11 4.72153963e+10 1.87968294e+10 7.48317685e+09 2.97912105e+09 1.18601858e+09 4.72168227e+08 1.87977158e+08 7.48373258e+07 2.97947079e+07 1.18623901e+07 4.72307234e+06 1.88064830e+06 7.48926199e+05 2.98295783e+05 1.18843764e+05 4.73693084e+04 1.88938023e+04 7.54425057e+03 3.01756342e+03 1.21019890e+03 4.87367021e+02 1.97526617e+02 8.08406131e+01 3.35798163e+01 1.42685396e+01 6.28147164e+00 2.92858705e+00 1.50175362e+00 8.94747641e-01 6.49454092e-01 5.72109064e-01 5.77903893e-01 6.27381371e-01 1.39536974e+26 1.04480288e+26 7.79416537e+25 5.79002287e+25 4.28061763e+25 3.14723898e+25 2.29908792e+25 1.66682140e+25 1.19757199e+25 8.51110248e+24 5.96889417e+24 4.11770579e+24 2.78272814e+24 1.83223608e+24 1.16715868e+24 7.12951849e+23 4.13216625e+23 2.24690592e+23 1.13535560e+23 5.30906744e+22 2.30774566e+22 9.44902177e+21 3.71172471e+21 1.42474125e+21 5.42389876e+20 2.06852842e+20 7.94688852e+19 3.08177626e+19 1.20589334e+19 4.75296543e+18 1.88281251e+18 7.48084096e+17 2.97671503e+17 1.18514125e+17 4.71909119e+16 1.87903626e+16 7.48149864e+15 2.97867540e+15 1.18589189e+15 4.72127114e+14 1.87960973e+14 7.48295636e+13 2.97904251e+13 1.18598427e+13 4.72150405e+12 1.87966875e+12 7.48310787e+11 2.97908271e+11 1.18599570e+11 4.72154105e+10 1.87968334e+10 7.48317777e+09 2.97912130e+09 1.18601864e+09 4.72168240e+08 1.87977163e+08 7.48373266e+07 2.97947082e+07 1.18623903e+07 4.72307232e+06 1.88064830e+06 7.48926197e+05 2.98295786e+05 1.18843764e+05 4.73693086e+04 1.88938022e+04 7.54425059e+03 3.01756342e+03 1.21019890e+03 4.87367023e+02 1.97526619e+02 8.08406124e+01 3.35798161e+01 1.42685396e+01 6.28147164e+00 2.92858708e+00 1.50175363e+00 8.94747646e-01 6.49454085e-01 5.72109063e-01 5.77903885e-01 3.50501031e+26 2.62442619e+26 1.95780582e+26 1.45438799e+26 1.07524253e+26 7.90550690e+25 5.77504774e+25 4.18686605e+25 3.00816484e+25 2.13789228e+25 1.49931843e+25 1.03432093e+25 6.98989707e+24 4.60236896e+24 2.93177006e+24 1.79085408e+24 1.03795323e+24 5.64397249e+23 2.85188432e+23 1.33357745e+23 5.79679501e+22 2.37348696e+22 9.32343093e+21 3.57878821e+21 1.36242177e+21 5.19590847e+20 1.99616814e+20 7.74107198e+19 3.02906713e+19 1.19389094e+19 4.72941120e+18 1.87910229e+18 7.47717009e+17 2.97694023e+17 1.18538211e+17 4.71992568e+16 1.87926749e+16 7.48209428e+15 2.97882573e+15 1.18592968e+15 4.72136608e+14 1.87963360e+14 7.48301609e+13 2.97905756e+13 1.18598805e+13 4.72151351e+12 1.87967114e+12 7.48311385e+11 2.97908424e+11 1.18599606e+11 4.72154204e+10 1.87968357e+10 7.48317839e+09 2.97912144e+09 1.18601868e+09 4.72168252e+08 1.87977165e+08 7.48373272e+07 2.97947086e+07 1.18623902e+07 4.72307231e+06 1.88064829e+06 7.48926205e+05 2.98295787e+05 1.18843764e+05 4.73693083e+04 1.88938022e+04 7.54425059e+03 3.01756341e+03 1.21019890e+03 4.87367027e+02 1.97526618e+02 8.08406120e+01 3.35798159e+01 1.42685396e+01 6.28147171e+00 2.92858710e+00 1.50175363e+00 8.94747636e-01 6.49454084e-01 5.72109055e-01 8.80418785e+26 6.59226053e+26 4.91778588e+26 3.65325745e+26 2.70088713e+26 1.98577355e+26 1.45062641e+26 1.05169320e+26 7.55616844e+25 5.37014262e+25 3.76611761e+25 2.59809671e+25 1.75578276e+25 1.15606281e+25 7.36427343e+24 4.49842206e+24 2.60722064e+24 1.41770179e+24 7.16360952e+23 3.34979509e+23 1.45608907e+23 5.96192968e+22 2.34193996e+22 8.98950954e+21 3.42224876e+21 1.30515320e+21 5.01414768e+20 1.94446937e+20 7.60867262e+19 2.99891845e+19 1.18797438e+19 4.72009154e+18 1.87818021e+18 7.47773576e+17 2.97754524e+17 1.18559173e+17 4.72050649e+16 1.87941710e+16 7.48247190e+15 2.97892064e+15 1.18595352e+15 4.72142604e+14 1.87964860e+14 7.48305392e+13 2.97906707e+13 1.18599043e+13 4.72151954e+12 1.87967264e+12 7.48311769e+11 2.97908513e+11 1.18599631e+11 4.72154262e+10 1.87968373e+10 7.48317876e+09 2.97912152e+09 1.18601871e+09 4.72168257e+08 1.87977167e+08 7.48373284e+07 2.97947085e+07 1.18623902e+07 4.72307229e+06 1.88064831e+06 7.48926206e+05 2.98295788e+05 1.18843764e+05 4.73693084e+04 1.88938022e+04 7.54425055e+03 3.01756342e+03 1.21019891e+03 4.87367023e+02 1.97526617e+02 8.08406116e+01 3.35798159e+01 1.42685397e+01 6.28147174e+00 2.92858711e+00 1.50175362e+00 8.94747636e-01 6.49454075e-01 2.21151200e+27 1.65590098e+27 1.23529196e+27 9.17656783e+26 6.78432174e+26 4.98803764e+26 3.64380879e+26 2.64173389e+26 1.89802370e+26 1.34891884e+26 9.46005974e+25 6.52612388e+25 4.41032689e+25 2.90389850e+25 1.84982185e+25 1.12995253e+25 6.54904216e+24 3.56110589e+24 1.79941736e+24 8.41430484e+23 3.65753038e+23 1.49756903e+23 5.88268722e+22 2.25806270e+22 8.59630022e+21 3.27839661e+21 1.25949695e+21 4.88428622e+20 1.91121215e+20 7.53294255e+19 2.98405673e+19 1.18563339e+19 4.71777538e+18 1.87832230e+18 7.47925548e+17 2.97807177e+17 1.18573762e+17 4.72088232e+16 1.87951196e+16 7.48271030e+15 2.97898054e+15 1.18596859e+15 4.72146373e+14 1.87965810e+14 7.48307779e+13 2.97907304e+13 1.18599194e+13 4.72152331e+12 1.87967361e+12 7.48311993e+11 2.97908576e+11 1.18599645e+11 4.72154301e+10 1.87968382e+10 7.48317897e+09 2.97912160e+09 1.18601872e+09 4.72168261e+08 1.87977170e+08 7.48373279e+07 2.97947084e+07 1.18623901e+07 4.72307234e+06 1.88064832e+06 7.48926208e+05 2.98295786e+05 1.18843764e+05 4.73693084e+04 1.88938022e+04 7.54425059e+03 3.01756345e+03 1.21019890e+03 4.87367021e+02 1.97526616e+02 8.08406116e+01 3.35798163e+01 1.42685398e+01 6.28147177e+00 2.92858708e+00 1.50175362e+00 8.94747623e-01 5.55506698e+27 4.15943520e+27 3.10291312e+27 2.30504962e+27 1.70414457e+27 1.25293841e+27 9.15283386e+26 6.63573551e+26 4.76761997e+26 3.38833093e+26 2.37625957e+26 1.63928820e+26 1.10782403e+26 7.29426323e+25 4.64654241e+25 2.83831244e+25 1.64504501e+25 8.94509358e+24 4.51993204e+24 2.11357782e+24 9.18730094e+23 3.76172332e+23 1.47766422e+23 5.67199707e+22 2.15929299e+22 8.23495996e+21 3.16371330e+21 1.22687723e+21 4.80074787e+20 1.89218962e+20 7.49561162e+19 2.97817642e+19 1.18505160e+19 4.71813230e+18 1.87870403e+18 7.48057807e+17 2.97843823e+17 1.18583202e+17 4.72112057e+16 1.87957184e+16 7.48286077e+15 2.97901838e+15 1.18597805e+15 4.72148759e+14 1.87966410e+14 7.48309279e+13 2.97907684e+13 1.18599289e+13 4.72152573e+12 1.87967417e+12 7.48312150e+11 2.97908613e+11 1.18599655e+11 4.72154324e+10 1.87968387e+10 7.48317916e+09 2.97912163e+09 1.18601873e+09 4.72168268e+08 1.87977169e+08 7.48373278e+07 2.97947083e+07 1.18623903e+07 4.72307235e+06 1.88064832e+06 7.48926203e+05 2.98295787e+05 1.18843764e+05 4.73693082e+04 1.88938022e+04 7.54425066e+03 3.01756343e+03 1.21019890e+03 4.87367019e+02 1.97526616e+02 8.08406125e+01 3.35798164e+01 1.42685398e+01 6.28147171e+00 2.92858708e+00 1.50175360e+00 1.39536974e+28 1.04480288e+28 7.79416537e+27 5.79002287e+27 4.28061763e+27 3.14723898e+27 2.29908792e+27 1.66682140e+27 1.19757199e+27 8.51110248e+26 5.96889417e+26 4.11770579e+26 2.78272814e+26 1.83223608e+26 1.16715868e+26 7.12951849e+25 4.13216625e+25 2.24690592e+25 1.13535560e+25 5.30906744e+24 2.30774566e+24 9.44902177e+23 3.71172471e+23 1.42474125e+23 5.42389876e+22 2.06852842e+22 7.94688852e+21 3.08177626e+21 1.20589334e+21 4.75296543e+20 1.88281251e+20 7.48084095e+19 2.97671502e+19 1.18514125e+19 4.71909117e+18 1.87903625e+18 7.48149858e+17 2.97867536e+17 1.18589187e+17 4.72127100e+16 1.87960964e+16 7.48295581e+15 2.97904216e+15 1.18598405e+15 4.72150265e+14 1.87966787e+14 7.48310234e+13 2.97907922e+13 1.18599350e+13 4.72152714e+12 1.87967457e+12 7.48312242e+11 2.97908637e+11 1.18599661e+11 4.72154337e+10 1.87968392e+10 7.48317924e+09 2.97912166e+09 1.18601875e+09 4.72168266e+08 1.87977168e+08 7.48373275e+07 2.97947086e+07 1.18623903e+07 4.72307236e+06 1.88064831e+06 7.48926205e+05 2.98295787e+05 1.18843763e+05 4.73693084e+04 1.88938024e+04 7.54425060e+03 3.01756341e+03 1.21019889e+03 4.87367018e+02 1.97526618e+02 8.08406129e+01 3.35798166e+01 1.42685397e+01 6.28147170e+00 2.92858704e+00 # # uncertainties in the thermally averaged relativistic Gaunt factors 1.3401e-03 1.1839e-03 8.9476e-04 7.5763e-04 5.5285e-04 5.0109e-04 3.6084e-04 2.9367e-04 2.1926e-04 1.8014e-04 1.4138e-04 1.1281e-04 8.6676e-05 6.3054e-05 5.1196e-05 4.5316e-05 3.6082e-05 2.8074e-05 2.1085e-05 1.9328e-05 1.7411e-05 1.5418e-05 1.5445e-05 1.5623e-05 1.4678e-05 1.4870e-05 1.4987e-05 1.4910e-05 1.6103e-05 1.5713e-05 1.5617e-05 1.5554e-05 1.5515e-05 1.5500e-05 1.5506e-05 1.5474e-05 1.5469e-05 1.5456e-05 1.5454e-05 1.5462e-05 1.5461e-05 1.5483e-05 1.5462e-05 1.5455e-05 1.5457e-05 1.5459e-05 1.5472e-05 1.5471e-05 1.5469e-05 1.5454e-05 1.5459e-05 1.5462e-05 1.5468e-05 1.5466e-05 1.5464e-05 1.5455e-05 1.5458e-05 1.5460e-05 1.5467e-05 1.5464e-05 1.5461e-05 1.5457e-05 1.5461e-05 1.5464e-05 1.5458e-05 1.5469e-05 1.5466e-05 1.5463e-05 1.5456e-05 1.5462e-05 1.5469e-05 1.5468e-05 1.5462e-05 1.5459e-05 1.5451e-05 1.5466e-05 1.5464e-05 1.5472e-05 1.5468e-05 1.5469e-05 1.5445e-05 1.4841e-03 1.2208e-03 9.5773e-04 7.6597e-04 5.8450e-04 4.4270e-04 3.4694e-04 2.7085e-04 2.4029e-04 1.7129e-04 1.4314e-04 1.0678e-04 8.4202e-05 7.0626e-05 5.2624e-05 4.1012e-05 3.0909e-05 2.6905e-05 2.3871e-05 1.8866e-05 1.7418e-05 1.5644e-05 1.5484e-05 1.4734e-05 1.6044e-05 1.4873e-05 1.4965e-05 1.5060e-05 1.4833e-05 1.4696e-05 1.4623e-05 1.5179e-05 1.5135e-05 1.5116e-05 1.5120e-05 1.5087e-05 1.5081e-05 1.5067e-05 1.5064e-05 1.5072e-05 1.5071e-05 1.5094e-05 1.5072e-05 1.5065e-05 1.5067e-05 1.5069e-05 1.5082e-05 1.5081e-05 1.5079e-05 1.5064e-05 1.5069e-05 1.5072e-05 1.5078e-05 1.5076e-05 1.5074e-05 1.5065e-05 1.5068e-05 1.5070e-05 1.5077e-05 1.5074e-05 1.5071e-05 1.5066e-05 1.5071e-05 1.5074e-05 1.5068e-05 1.5079e-05 1.5076e-05 1.5073e-05 1.5066e-05 1.5072e-05 1.5079e-05 1.5078e-05 1.5072e-05 1.5069e-05 1.5061e-05 1.5076e-05 1.5074e-05 1.5082e-05 1.5078e-05 1.5079e-05 1.5055e-05 1.6261e-03 1.1650e-03 8.7674e-04 6.3964e-04 6.0963e-04 4.7877e-04 3.6520e-04 2.8402e-04 2.3190e-04 1.6874e-04 1.3910e-04 1.0787e-04 8.7098e-05 6.3954e-05 5.2117e-05 3.9592e-05 3.4665e-05 2.6021e-05 2.0925e-05 1.9856e-05 1.5665e-05 1.5994e-05 1.6312e-05 1.5110e-05 1.5352e-05 1.5128e-05 1.5607e-05 1.4818e-05 1.4638e-05 1.4531e-05 1.4476e-05 1.4439e-05 1.4415e-05 1.4960e-05 1.4966e-05 1.4934e-05 1.4929e-05 1.4915e-05 1.4913e-05 1.4921e-05 1.4920e-05 1.4942e-05 1.4921e-05 1.4914e-05 1.4916e-05 1.4918e-05 1.4931e-05 1.4930e-05 1.4928e-05 1.4914e-05 1.4919e-05 1.4921e-05 1.4927e-05 1.4925e-05 1.4923e-05 1.4915e-05 1.4917e-05 1.4919e-05 1.4926e-05 1.4923e-05 1.4920e-05 1.4916e-05 1.4920e-05 1.4923e-05 1.4917e-05 1.4928e-05 1.4925e-05 1.4922e-05 1.4916e-05 1.4921e-05 1.4928e-05 1.4927e-05 1.4921e-05 1.4918e-05 1.4911e-05 1.4925e-05 1.4923e-05 1.4931e-05 1.4927e-05 1.4928e-05 1.4904e-05 1.5814e-03 1.1444e-03 9.4451e-04 7.3963e-04 5.9266e-04 4.5234e-04 3.4058e-04 2.6678e-04 2.2098e-04 1.7651e-04 1.1781e-04 1.1099e-04 7.8864e-05 6.9856e-05 5.3955e-05 4.1500e-05 3.1386e-05 2.7513e-05 2.1788e-05 1.7730e-05 1.5250e-05 1.5802e-05 1.5910e-05 1.4682e-05 1.5424e-05 1.5599e-05 1.4974e-05 1.4659e-05 1.3864e-05 1.3721e-05 1.3643e-05 1.3591e-05 1.5015e-05 1.4994e-05 1.4997e-05 1.4963e-05 1.4957e-05 1.4944e-05 1.4941e-05 1.4948e-05 1.4947e-05 1.4969e-05 1.4948e-05 1.4941e-05 1.4943e-05 1.4945e-05 1.4957e-05 1.4956e-05 1.4955e-05 1.4940e-05 1.4945e-05 1.4947e-05 1.4954e-05 1.4952e-05 1.4949e-05 1.4941e-05 1.4944e-05 1.4946e-05 1.4953e-05 1.4950e-05 1.4946e-05 1.4942e-05 1.4947e-05 1.4950e-05 1.4944e-05 1.4955e-05 1.4951e-05 1.4948e-05 1.4942e-05 1.4947e-05 1.4955e-05 1.4954e-05 1.4948e-05 1.4945e-05 1.4938e-05 1.4952e-05 1.4950e-05 1.4958e-05 1.4954e-05 1.4955e-05 1.4931e-05 1.4976e-03 1.2027e-03 8.6583e-04 7.5580e-04 4.9446e-04 4.4143e-04 3.3868e-04 2.8546e-04 2.1871e-04 1.7039e-04 1.2945e-04 1.1537e-04 8.1119e-05 6.7101e-05 5.0903e-05 3.4460e-05 2.9306e-05 2.5826e-05 1.9810e-05 1.6747e-05 1.6759e-05 1.6267e-05 1.5474e-05 1.4491e-05 1.5231e-05 1.4929e-05 1.5355e-05 1.5004e-05 1.5359e-05 1.5185e-05 1.5089e-05 1.5384e-05 1.5276e-05 1.5263e-05 1.5270e-05 1.5241e-05 1.5237e-05 1.5225e-05 1.5223e-05 1.5230e-05 1.5229e-05 1.5250e-05 1.5230e-05 1.5224e-05 1.5226e-05 1.5227e-05 1.5240e-05 1.5239e-05 1.5237e-05 1.5223e-05 1.5228e-05 1.5230e-05 1.5236e-05 1.5234e-05 1.5232e-05 1.5224e-05 1.5227e-05 1.5229e-05 1.5236e-05 1.5232e-05 1.5229e-05 1.5225e-05 1.5230e-05 1.5232e-05 1.5227e-05 1.5237e-05 1.5234e-05 1.5231e-05 1.5225e-05 1.5230e-05 1.5237e-05 1.5236e-05 1.5231e-05 1.5228e-05 1.5221e-05 1.5235e-05 1.5233e-05 1.5240e-05 1.5236e-05 1.5237e-05 1.5215e-05 1.4849e-03 1.2137e-03 8.8114e-04 7.2566e-04 5.6985e-04 4.5695e-04 3.5081e-04 2.7424e-04 2.2801e-04 1.7004e-04 1.3006e-04 9.9961e-05 8.3213e-05 6.4539e-05 5.5839e-05 3.9110e-05 3.3279e-05 2.5905e-05 2.2187e-05 1.6688e-05 1.6997e-05 1.4329e-05 1.3802e-05 1.4936e-05 1.4789e-05 1.4915e-05 1.3672e-05 1.3727e-05 1.3753e-05 1.3905e-05 1.3846e-05 1.3807e-05 1.4202e-05 1.4194e-05 1.4204e-05 1.4176e-05 1.4173e-05 1.4161e-05 1.4159e-05 1.4168e-05 1.4166e-05 1.4189e-05 1.4168e-05 1.4161e-05 1.4164e-05 1.4165e-05 1.4178e-05 1.4177e-05 1.4175e-05 1.4161e-05 1.4166e-05 1.4168e-05 1.4174e-05 1.4172e-05 1.4170e-05 1.4162e-05 1.4164e-05 1.4166e-05 1.4174e-05 1.4170e-05 1.4167e-05 1.4163e-05 1.4168e-05 1.4170e-05 1.4165e-05 1.4175e-05 1.4172e-05 1.4169e-05 1.4163e-05 1.4168e-05 1.4175e-05 1.4174e-05 1.4169e-05 1.4165e-05 1.4158e-05 1.4172e-05 1.4170e-05 1.4178e-05 1.4174e-05 1.4175e-05 1.4152e-05 1.3960e-03 1.1560e-03 8.8551e-04 7.2290e-04 5.2139e-04 4.6857e-04 3.3968e-04 2.5025e-04 2.0454e-04 1.6833e-04 1.3097e-04 1.0546e-04 8.4240e-05 6.3995e-05 5.1287e-05 3.8924e-05 3.1666e-05 2.2179e-05 1.9632e-05 1.8994e-05 1.5558e-05 1.4495e-05 1.5775e-05 1.4216e-05 1.3972e-05 1.4130e-05 1.4167e-05 1.4161e-05 1.3579e-05 1.4828e-05 1.4716e-05 1.4645e-05 1.4600e-05 1.4580e-05 1.4583e-05 1.4551e-05 1.4545e-05 1.4532e-05 1.4529e-05 1.4536e-05 1.4535e-05 1.4556e-05 1.4536e-05 1.4529e-05 1.4532e-05 1.4533e-05 1.4545e-05 1.4544e-05 1.4542e-05 1.4529e-05 1.4533e-05 1.4535e-05 1.4542e-05 1.4540e-05 1.4537e-05 1.4530e-05 1.4532e-05 1.4534e-05 1.4541e-05 1.4537e-05 1.4535e-05 1.4531e-05 1.4535e-05 1.4537e-05 1.4532e-05 1.4542e-05 1.4539e-05 1.4536e-05 1.4531e-05 1.4535e-05 1.4542e-05 1.4541e-05 1.4536e-05 1.4533e-05 1.4526e-05 1.4540e-05 1.4538e-05 1.4545e-05 1.4541e-05 1.4543e-05 1.4520e-05 1.4923e-03 1.1463e-03 8.9230e-04 7.1682e-04 5.3686e-04 4.4003e-04 3.5153e-04 2.7039e-04 2.1184e-04 1.6292e-04 1.3085e-04 1.0474e-04 7.5699e-05 6.3562e-05 4.7434e-05 3.9097e-05 3.2064e-05 2.4829e-05 1.8393e-05 1.8705e-05 1.3699e-05 1.5488e-05 1.3958e-05 1.3552e-05 1.4766e-05 1.3934e-05 1.4121e-05 1.4671e-05 1.4357e-05 1.4173e-05 1.4071e-05 1.4005e-05 1.3964e-05 1.3946e-05 1.3951e-05 1.3919e-05 1.3914e-05 1.3901e-05 1.3899e-05 1.3906e-05 1.3905e-05 1.3926e-05 1.3906e-05 1.3899e-05 1.3902e-05 1.3903e-05 1.3915e-05 1.3914e-05 1.3913e-05 1.3899e-05 1.3904e-05 1.3906e-05 1.3912e-05 1.3910e-05 1.3908e-05 1.3900e-05 1.3902e-05 1.3904e-05 1.3911e-05 1.3908e-05 1.3905e-05 1.3901e-05 1.3906e-05 1.3908e-05 1.3903e-05 1.3913e-05 1.3910e-05 1.3907e-05 1.3901e-05 1.3906e-05 1.3913e-05 1.3912e-05 1.3906e-05 1.3903e-05 1.3896e-05 1.3910e-05 1.3908e-05 1.3916e-05 1.3912e-05 1.3913e-05 1.3890e-05 1.4341e-03 1.1173e-03 8.9216e-04 6.8187e-04 5.1723e-04 4.1453e-04 3.1658e-04 2.6125e-04 1.9256e-04 1.5729e-04 1.1857e-04 1.0495e-04 7.2764e-05 6.7553e-05 4.9606e-05 3.7929e-05 2.8407e-05 2.2866e-05 2.0008e-05 1.6485e-05 1.4731e-05 1.5291e-05 1.3890e-05 1.3522e-05 1.4055e-05 1.3801e-05 1.3679e-05 1.3419e-05 1.3269e-05 1.4067e-05 1.4433e-05 1.4358e-05 1.4311e-05 1.4290e-05 1.4291e-05 1.4259e-05 1.4253e-05 1.4240e-05 1.4237e-05 1.4244e-05 1.4242e-05 1.4262e-05 1.4243e-05 1.4237e-05 1.4239e-05 1.4240e-05 1.4252e-05 1.4251e-05 1.4250e-05 1.4236e-05 1.4241e-05 1.4243e-05 1.4249e-05 1.4247e-05 1.4245e-05 1.4237e-05 1.4239e-05 1.4241e-05 1.4248e-05 1.4245e-05 1.4242e-05 1.4238e-05 1.4243e-05 1.4245e-05 1.4240e-05 1.4249e-05 1.4246e-05 1.4244e-05 1.4238e-05 1.4243e-05 1.4249e-05 1.4248e-05 1.4243e-05 1.4240e-05 1.4234e-05 1.4247e-05 1.4245e-05 1.4252e-05 1.4249e-05 1.4250e-05 1.4228e-05 1.3098e-03 1.1024e-03 8.6340e-04 6.8634e-04 5.5353e-04 4.4321e-04 3.2381e-04 2.6981e-04 2.0805e-04 1.6219e-04 1.2374e-04 1.0108e-04 7.8230e-05 5.7762e-05 4.8958e-05 4.0390e-05 3.2748e-05 2.5053e-05 1.9570e-05 1.7243e-05 1.4956e-05 1.4180e-05 1.3710e-05 1.3313e-05 1.3735e-05 1.3520e-05 1.2252e-05 1.4572e-05 1.4225e-05 1.3908e-05 1.3821e-05 1.3765e-05 1.3729e-05 1.3715e-05 1.3721e-05 1.3691e-05 1.3687e-05 1.3675e-05 1.3673e-05 1.3680e-05 1.3679e-05 1.3699e-05 1.3680e-05 1.3674e-05 1.3676e-05 1.3677e-05 1.3689e-05 1.3688e-05 1.3687e-05 1.3673e-05 1.3678e-05 1.3680e-05 1.3686e-05 1.3684e-05 1.3682e-05 1.3674e-05 1.3676e-05 1.3678e-05 1.3685e-05 1.3682e-05 1.3679e-05 1.3675e-05 1.3680e-05 1.3682e-05 1.3677e-05 1.3687e-05 1.3684e-05 1.3681e-05 1.3675e-05 1.3680e-05 1.3687e-05 1.3686e-05 1.3681e-05 1.3677e-05 1.3671e-05 1.3684e-05 1.3682e-05 1.3689e-05 1.3686e-05 1.3687e-05 1.3665e-05 1.4163e-03 1.1099e-03 8.5560e-04 6.8638e-04 5.2555e-04 3.9827e-04 3.2079e-04 2.6150e-04 2.1476e-04 1.5378e-04 1.2911e-04 8.6515e-05 7.8007e-05 5.9003e-05 4.8086e-05 3.7878e-05 2.7496e-05 2.4068e-05 2.2218e-05 1.5493e-05 1.5765e-05 1.2787e-05 1.3680e-05 1.3062e-05 1.2872e-05 1.4021e-05 1.3724e-05 1.3844e-05 1.3655e-05 1.3543e-05 1.3800e-05 1.3740e-05 1.3702e-05 1.3686e-05 1.3691e-05 1.3662e-05 1.3657e-05 1.3645e-05 1.3643e-05 1.3650e-05 1.3648e-05 1.3668e-05 1.3649e-05 1.3643e-05 1.3645e-05 1.3647e-05 1.3658e-05 1.3657e-05 1.3656e-05 1.3643e-05 1.3647e-05 1.3649e-05 1.3655e-05 1.3653e-05 1.3651e-05 1.3644e-05 1.3646e-05 1.3648e-05 1.3654e-05 1.3651e-05 1.3648e-05 1.3645e-05 1.3649e-05 1.3651e-05 1.3646e-05 1.3656e-05 1.3653e-05 1.3650e-05 1.3645e-05 1.3649e-05 1.3656e-05 1.3655e-05 1.3650e-05 1.3647e-05 1.3640e-05 1.3653e-05 1.3651e-05 1.3658e-05 1.3655e-05 1.3656e-05 1.3635e-05 1.4635e-03 1.0097e-03 8.5000e-04 6.1941e-04 5.4116e-04 4.2668e-04 3.4688e-04 2.4870e-04 2.0892e-04 1.5246e-04 1.2450e-04 1.0221e-04 7.7759e-05 6.0106e-05 4.5223e-05 3.7852e-05 2.8026e-05 2.3114e-05 1.7484e-05 1.6219e-05 1.3861e-05 1.3995e-05 1.3888e-05 1.4987e-05 1.3564e-05 1.3373e-05 1.4300e-05 1.3902e-05 1.2873e-05 1.2771e-05 1.2845e-05 1.2797e-05 1.2767e-05 1.2757e-05 1.2765e-05 1.2737e-05 1.2733e-05 1.2722e-05 1.2720e-05 1.2728e-05 1.2727e-05 1.2748e-05 1.2728e-05 1.2722e-05 1.2724e-05 1.2725e-05 1.2737e-05 1.2736e-05 1.2735e-05 1.2721e-05 1.2726e-05 1.2728e-05 1.2734e-05 1.2732e-05 1.2730e-05 1.2722e-05 1.2724e-05 1.2726e-05 1.2733e-05 1.2730e-05 1.2727e-05 1.2723e-05 1.2728e-05 1.2730e-05 1.2725e-05 1.2735e-05 1.2732e-05 1.2729e-05 1.2723e-05 1.2728e-05 1.2735e-05 1.2734e-05 1.2729e-05 1.2725e-05 1.2719e-05 1.2732e-05 1.2730e-05 1.2738e-05 1.2734e-05 1.2735e-05 1.2713e-05 1.4231e-03 1.0420e-03 8.5183e-04 6.5899e-04 5.3212e-04 4.1203e-04 3.0589e-04 2.4675e-04 1.8510e-04 1.5689e-04 1.1793e-04 9.8205e-05 6.5913e-05 6.2018e-05 4.6261e-05 3.6918e-05 2.9594e-05 2.4296e-05 1.9249e-05 1.6024e-05 1.3482e-05 1.4294e-05 1.2797e-05 1.3848e-05 1.3072e-05 1.2653e-05 1.3574e-05 1.3202e-05 1.2989e-05 1.2860e-05 1.2790e-05 1.2743e-05 1.2714e-05 1.2703e-05 1.2712e-05 1.2684e-05 1.2680e-05 1.2669e-05 1.2667e-05 1.2675e-05 1.2674e-05 1.2694e-05 1.2675e-05 1.2669e-05 1.2671e-05 1.2672e-05 1.2684e-05 1.2683e-05 1.2682e-05 1.2669e-05 1.2673e-05 1.2675e-05 1.2681e-05 1.2679e-05 1.2677e-05 1.2669e-05 1.2672e-05 1.2674e-05 1.2680e-05 1.2677e-05 1.2674e-05 1.2671e-05 1.2675e-05 1.2677e-05 1.2672e-05 1.2682e-05 1.2679e-05 1.2676e-05 1.2670e-05 1.2675e-05 1.2682e-05 1.2681e-05 1.2676e-05 1.2673e-05 1.2666e-05 1.2679e-05 1.2677e-05 1.2684e-05 1.2681e-05 1.2682e-05 1.2660e-05 1.3702e-03 1.0405e-03 7.7280e-04 6.0903e-04 4.7719e-04 4.2948e-04 3.2786e-04 2.6603e-04 1.9077e-04 1.5969e-04 1.1587e-04 9.5210e-05 7.8957e-05 5.9711e-05 4.6063e-05 3.4386e-05 2.6035e-05 2.2893e-05 1.7499e-05 1.4761e-05 1.4485e-05 1.4311e-05 1.3568e-05 1.3895e-05 1.1905e-05 1.3142e-05 1.3092e-05 1.3152e-05 1.2951e-05 1.2832e-05 1.2769e-05 1.2726e-05 1.2700e-05 1.2691e-05 1.2700e-05 1.2674e-05 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