# # # 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) 1 # 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. # 1.50359115e+02 1.18173936e+02 9.29240645e+01 7.31723286e+01 5.78208822e+01 4.60494480e+01 3.72519156e+01 3.09540431e+01 2.67165372e+01 2.40712988e+01 2.25392453e+01 2.17038372e+01 2.12643457e+01 2.10352637e+01 2.09142825e+01 2.08486289e+01 2.08118198e+01 2.07905279e+01 2.07778904e+01 2.07702408e+01 2.07655445e+01 2.07626338e+01 2.07608185e+01 2.07596813e+01 2.07589670e+01 2.07585178e+01 2.07582347e+01 2.07580564e+01 2.07579443e+01 2.07578732e+01 2.07578284e+01 2.07578002e+01 2.07577827e+01 2.07577713e+01 2.07577643e+01 2.07577596e+01 2.07577568e+01 2.07577551e+01 2.07577540e+01 2.07577532e+01 2.07577527e+01 2.07577526e+01 2.07577524e+01 2.07577525e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577523e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577521e+01 2.07577518e+01 2.07577523e+01 2.07577520e+01 2.07577520e+01 2.07577521e+01 2.07577521e+01 2.07577519e+01 2.07577520e+01 2.07577521e+01 2.07577520e+01 2.07577522e+01 2.07577521e+01 2.07577519e+01 2.07577519e+01 2.07577521e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577520e+01 2.07577521e+01 2.07577519e+01 2.07577520e+01 2.07577523e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 1.48716575e+02 1.16868580e+02 9.18858822e+01 7.23452413e+01 5.71594368e+01 4.55161151e+01 3.68150704e+01 3.05867115e+01 2.63962220e+01 2.37804288e+01 2.22654674e+01 2.14393919e+01 2.10048100e+01 2.07782800e+01 2.06586484e+01 2.05937249e+01 2.05573244e+01 2.05362710e+01 2.05237740e+01 2.05162091e+01 2.05115640e+01 2.05086855e+01 2.05068903e+01 2.05057657e+01 2.05050593e+01 2.05046151e+01 2.05043350e+01 2.05041588e+01 2.05040478e+01 2.05039775e+01 2.05039332e+01 2.05039053e+01 2.05038881e+01 2.05038767e+01 2.05038698e+01 2.05038652e+01 2.05038624e+01 2.05038607e+01 2.05038596e+01 2.05038588e+01 2.05038584e+01 2.05038583e+01 2.05038581e+01 2.05038582e+01 2.05038577e+01 2.05038577e+01 2.05038578e+01 2.05038580e+01 2.05038576e+01 2.05038576e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038575e+01 2.05038580e+01 2.05038577e+01 2.05038577e+01 2.05038577e+01 2.05038578e+01 2.05038576e+01 2.05038577e+01 2.05038578e+01 2.05038577e+01 2.05038579e+01 2.05038578e+01 2.05038576e+01 2.05038576e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038577e+01 2.05038579e+01 2.05038578e+01 2.05038577e+01 2.05038576e+01 2.05038577e+01 1.47074038e+02 1.15563191e+02 9.08477193e+01 7.15181690e+01 5.64979904e+01 4.49827813e+01 3.63782319e+01 3.02193922e+01 2.60758982e+01 2.34895623e+01 2.19916956e+01 2.11749458e+01 2.07452713e+01 2.05213008e+01 2.04030141e+01 2.03388192e+01 2.03028290e+01 2.02820117e+01 2.02696548e+01 2.02621745e+01 2.02575820e+01 2.02547357e+01 2.02529592e+01 2.02518472e+01 2.02511487e+01 2.02507094e+01 2.02504325e+01 2.02502582e+01 2.02501485e+01 2.02500791e+01 2.02500352e+01 2.02500076e+01 2.02499906e+01 2.02499794e+01 2.02499725e+01 2.02499679e+01 2.02499652e+01 2.02499636e+01 2.02499625e+01 2.02499617e+01 2.02499612e+01 2.02499611e+01 2.02499609e+01 2.02499610e+01 2.02499606e+01 2.02499606e+01 2.02499606e+01 2.02499608e+01 2.02499605e+01 2.02499604e+01 2.02499606e+01 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1.99710618e-01 2.44717568e-01 2.98327298e-01 3.61166074e-01 4.33400734e-01 5.14457603e-01 6.02717738e-01 6.95266163e-01 7.87828984e-01 6.17680125e+23 4.15564859e+23 2.71940976e+23 1.71743356e+23 1.03640948e+23 5.90496920e+22 3.13542410e+22 1.53395304e+22 6.87335658e+21 2.82834396e+21 1.08104399e+21 3.90183884e+20 1.35263051e+20 4.56880908e+19 1.51999545e+19 5.01962127e+18 1.65468979e+18 5.46778103e+17 1.81737814e+17 6.09441203e+16 2.06770913e+16 7.11638159e+15 2.49035408e+15 8.87765711e+14 3.22727271e+14 1.19642326e+14 4.51799634e+13 1.73396148e+13 6.74276919e+12 2.64771053e+12 1.04649767e+12 4.15233954e+11 1.65089869e+11 6.56948726e+10 2.61505891e+10 1.04105018e+10 4.14448792e+09 1.64995380e+09 6.56860739e+08 2.61502358e+08 1.04106822e+08 4.14462094e+07 1.65003705e+07 6.56912848e+06 2.61535115e+06 1.04127459e+06 4.14592209e+05 1.65085767e+05 6.57430380e+04 2.61861488e+04 1.04333237e+04 4.15889257e+03 1.65902992e+03 6.62576780e+02 2.65100318e+02 1.06370130e+02 4.28691370e+01 1.73948255e+01 7.13198263e+00 2.97092558e+00 1.26814903e+00 5.62529587e-01 2.65722334e-01 1.39350631e-01 8.59643280e-02 6.52530336e-02 6.03374167e-02 6.41270094e-02 7.37457217e-02 8.82190367e-02 1.07492118e-01 1.31997074e-01 1.62446169e-01 1.99710618e-01 2.44717567e-01 2.98327299e-01 3.61166078e-01 4.33400731e-01 5.14457601e-01 6.02717735e-01 6.95266169e-01 1.55154232e+24 1.04385173e+24 6.83084847e+23 4.31399806e+23 2.60334291e+23 1.48326120e+23 7.87582925e+22 3.85311583e+22 1.72650911e+22 7.10447881e+21 2.71545973e+21 9.80097604e+20 3.39765423e+20 1.14763295e+20 3.81805594e+19 1.26087186e+19 4.15639282e+18 1.37344450e+18 4.56504750e+17 1.53084709e+17 5.19385051e+16 1.78755423e+16 6.25548661e+15 2.22996664e+15 8.10654248e+14 3.00527932e+14 1.13486936e+14 4.35551424e+13 1.69370699e+13 6.65074780e+12 2.62868309e+12 1.04302040e+12 4.14686916e+11 1.65018006e+11 6.56872763e+10 2.61499770e+10 1.04104696e+10 4.14448811e+09 1.64995424e+09 6.56860859e+08 2.61502389e+08 1.04106831e+08 4.14462112e+07 1.65003712e+07 6.56912849e+06 2.61535118e+06 1.04127460e+06 4.14592216e+05 1.65085765e+05 6.57430379e+04 2.61861491e+04 1.04333237e+04 4.15889260e+03 1.65902992e+03 6.62576772e+02 2.65100324e+02 1.06370129e+02 4.28691368e+01 1.73948255e+01 7.13198263e+00 2.97092556e+00 1.26814903e+00 5.62529589e-01 2.65722333e-01 1.39350632e-01 8.59643276e-02 6.52530329e-02 6.03374167e-02 6.41270100e-02 7.37457218e-02 8.82190370e-02 1.07492118e-01 1.31997074e-01 1.62446169e-01 1.99710617e-01 2.44717568e-01 2.98327302e-01 3.61166075e-01 4.33400729e-01 5.14457598e-01 6.02717741e-01 3.89729811e+24 2.62203700e+24 1.71583156e+24 1.08362732e+24 6.53930172e+23 3.72578369e+23 1.97831886e+23 9.67858938e+22 4.33679482e+22 1.78456439e+22 6.82092645e+21 2.46189387e+21 8.53452157e+20 2.88272364e+20 9.59052290e+19 3.16716690e+19 1.04403867e+19 3.44993660e+18 1.14668809e+18 3.84531403e+17 1.30463626e+17 4.49013322e+16 1.57130719e+16 5.60142292e+15 2.03627140e+15 7.54892031e+14 2.85066291e+14 1.09405570e+14 4.25439952e+13 1.67059226e+13 6.60295306e+12 2.61994858e+12 1.04164630e+12 4.14506405e+11 1.64998925e+11 6.56857388e+10 2.61498960e+10 1.04104701e+10 4.14448922e+09 1.64995454e+09 6.56860936e+08 2.61502411e+08 1.04106835e+08 4.14462129e+07 1.65003712e+07 6.56912857e+06 2.61535121e+06 1.04127462e+06 4.14592210e+05 1.65085765e+05 6.57430386e+04 2.61861490e+04 1.04333238e+04 4.15889260e+03 1.65902990e+03 6.62576786e+02 2.65100321e+02 1.06370128e+02 4.28691370e+01 1.73948256e+01 7.13198259e+00 2.97092557e+00 1.26814904e+00 5.62529586e-01 2.65722335e-01 1.39350631e-01 8.59643266e-02 6.52530329e-02 6.03374173e-02 6.41270101e-02 7.37457220e-02 8.82190365e-02 1.07492118e-01 1.31997074e-01 1.62446168e-01 1.99710618e-01 2.44717571e-01 2.98327300e-01 3.61166073e-01 4.33400727e-01 5.14457603e-01 9.78957025e+24 6.58625915e+24 4.30997401e+24 2.72194876e+24 1.64259833e+24 9.35874549e+23 4.96931231e+23 2.43115173e+23 1.08935361e+23 4.48262309e+22 1.71333926e+22 6.18399782e+21 2.14377489e+21 7.24107440e+20 2.40903044e+20 7.95556357e+19 2.62250658e+19 8.66584893e+18 2.88035024e+18 9.65899213e+17 3.27709812e+17 1.12787047e+17 3.94694521e+16 1.40701382e+16 5.11488249e+15 1.89620304e+15 7.16054146e+14 2.74814364e+14 1.06865683e+14 4.19633795e+13 1.65858677e+13 6.58101295e+12 2.61649700e+12 1.04119288e+12 4.14458475e+11 1.64995063e+11 6.56855353e+10 2.61498972e+10 1.04104728e+10 4.14448998e+09 1.64995474e+09 6.56860992e+08 2.61502423e+08 1.04106840e+08 4.14462130e+07 1.65003714e+07 6.56912865e+06 2.61535125e+06 1.04127461e+06 4.14592209e+05 1.65085767e+05 6.57430384e+04 2.61861491e+04 1.04333238e+04 4.15889254e+03 1.65902994e+03 6.62576779e+02 2.65100320e+02 1.06370129e+02 4.28691370e+01 1.73948254e+01 7.13198262e+00 2.97092558e+00 1.26814903e+00 5.62529591e-01 2.65722334e-01 1.39350630e-01 8.59643266e-02 6.52530335e-02 6.03374173e-02 6.41270103e-02 7.37457216e-02 8.82190365e-02 1.07492118e-01 1.31997073e-01 1.62446169e-01 1.99710620e-01 2.44717569e-01 2.98327298e-01 3.61166072e-01 4.33400731e-01 2.45902887e+25 1.65439350e+25 1.08261652e+25 6.83722616e+24 4.12602045e+24 2.35081058e+24 1.24823482e+24 6.10677705e+23 2.73633254e+23 1.12598401e+23 4.30371364e+22 1.55335002e+22 5.38491907e+21 1.81887565e+21 6.05121086e+20 1.99834722e+20 6.58743869e+19 2.17676283e+19 7.23511270e+18 2.42622913e+18 8.23169831e+17 2.83308253e+17 9.91427812e+16 3.53425893e+16 1.28480039e+16 4.76304669e+15 1.79864669e+15 6.90302468e+14 2.68434456e+14 1.05407242e+14 4.16618151e+13 1.65307566e+13 6.57234299e+12 2.61535806e+12 1.04107249e+12 4.14448775e+11 1.64994552e+11 6.56855384e+10 2.61499042e+10 1.04104747e+10 4.14449046e+09 1.64995488e+09 6.56861022e+08 2.61502434e+08 1.04106840e+08 4.14462135e+07 1.65003716e+07 6.56912875e+06 2.61535122e+06 1.04127460e+06 4.14592214e+05 1.65085766e+05 6.57430389e+04 2.61861491e+04 1.04333236e+04 4.15889263e+03 1.65902992e+03 6.62576777e+02 2.65100321e+02 1.06370129e+02 4.28691367e+01 1.73948255e+01 7.13198264e+00 2.97092557e+00 1.26814904e+00 5.62529588e-01 2.65722331e-01 1.39350630e-01 8.59643274e-02 6.52530335e-02 6.03374175e-02 6.41270100e-02 7.37457216e-02 8.82190366e-02 1.07492117e-01 1.31997074e-01 1.62446171e-01 1.99710618e-01 2.44717567e-01 2.98327297e-01 3.61166075e-01 6.17680125e+25 4.15564859e+25 2.71940976e+25 1.71743356e+25 1.03640948e+25 5.90496920e+24 3.13542410e+24 1.53395304e+24 6.87335658e+23 2.82834396e+23 1.08104399e+23 3.90183884e+22 1.35263051e+22 4.56880908e+21 1.51999545e+21 5.01962127e+20 1.65468979e+20 5.46778103e+19 1.81737814e+19 6.09441202e+18 2.06770913e+18 7.11638156e+17 2.49035407e+17 8.87765704e+16 3.22727266e+16 1.19642323e+16 4.51799620e+15 1.73396140e+15 6.74276866e+14 2.64771019e+14 1.04649747e+14 4.15233823e+13 1.65089786e+13 6.56948208e+12 2.61505564e+12 1.04104812e+12 4.14447491e+11 1.64994559e+11 6.56855559e+10 2.61499090e+10 1.04104759e+10 4.14449081e+09 1.64995495e+09 6.56861048e+08 2.61502434e+08 1.04106841e+08 4.14462140e+07 1.65003719e+07 6.56912867e+06 2.61535121e+06 1.04127462e+06 4.14592213e+05 1.65085768e+05 6.57430388e+04 2.61861488e+04 1.04333239e+04 4.15889259e+03 1.65902991e+03 6.62576779e+02 2.65100321e+02 1.06370128e+02 4.28691369e+01 1.73948256e+01 7.13198261e+00 2.97092560e+00 1.26814904e+00 5.62529582e-01 2.65722331e-01 1.39350631e-01 8.59643275e-02 6.52530337e-02 6.03374172e-02 6.41270100e-02 7.37457217e-02 8.82190361e-02 1.07492118e-01 1.31997075e-01 1.62446169e-01 1.99710617e-01 2.44717566e-01 2.98327300e-01 1.55154232e+26 1.04385173e+26 6.83084847e+25 4.31399806e+25 2.60334291e+25 1.48326120e+25 7.87582925e+24 3.85311583e+24 1.72650911e+24 7.10447881e+23 2.71545973e+23 9.80097604e+22 3.39765423e+22 1.14763295e+22 3.81805594e+21 1.26087185e+21 4.15639282e+20 1.37344450e+20 4.56504749e+19 1.53084709e+19 5.19385051e+18 1.78755423e+18 6.25548659e+17 2.22996662e+17 8.10654241e+16 3.00527928e+16 1.13486933e+16 4.35551410e+15 1.69370690e+15 6.65074728e+14 2.62868276e+14 1.04302019e+14 4.14686786e+13 1.65017924e+13 6.56872245e+12 2.61499443e+12 1.04104489e+12 4.14447510e+11 1.64994603e+11 6.56855679e+10 2.61499120e+10 1.04104768e+10 4.14449100e+09 1.64995502e+09 6.56861049e+08 2.61502437e+08 1.04106842e+08 4.14462147e+07 1.65003717e+07 6.56912865e+06 2.61535124e+06 1.04127461e+06 4.14592216e+05 1.65085767e+05 6.57430380e+04 2.61861494e+04 1.04333237e+04 4.15889257e+03 1.65902992e+03 6.62576779e+02 2.65100319e+02 1.06370129e+02 4.28691371e+01 1.73948255e+01 7.13198267e+00 2.97092558e+00 1.26814902e+00 5.62529582e-01 2.65722333e-01 1.39350631e-01 8.59643277e-02 6.52530334e-02 6.03374172e-02 6.41270100e-02 7.37457213e-02 8.82190365e-02 1.07492119e-01 1.31997074e-01 1.62446169e-01 1.99710616e-01 2.44717568e-01 3.89729811e+26 2.62203700e+26 1.71583156e+26 1.08362732e+26 6.53930172e+25 3.72578369e+25 1.97831886e+25 9.67858938e+24 4.33679482e+24 1.78456439e+24 6.82092645e+23 2.46189387e+23 8.53452157e+22 2.88272364e+22 9.59052290e+21 3.16716690e+21 1.04403867e+21 3.44993660e+20 1.14668809e+20 3.84531402e+19 1.30463626e+19 4.49013321e+18 1.57130719e+18 5.60142291e+17 2.03627139e+17 7.54892025e+16 2.85066288e+16 1.09405568e+16 4.25439938e+15 1.67059218e+15 6.60295254e+14 2.61994825e+14 1.04164610e+14 4.14506275e+13 1.64998843e+13 6.56856870e+12 2.61498633e+12 1.04104494e+12 4.14447620e+11 1.64994633e+11 6.56855756e+10 2.61499143e+10 1.04104773e+10 4.14449117e+09 1.64995502e+09 6.56861057e+08 2.61502440e+08 1.04106844e+08 4.14462141e+07 1.65003716e+07 6.56912873e+06 2.61535124e+06 1.04127462e+06 4.14592215e+05 1.65085765e+05 6.57430394e+04 2.61861491e+04 1.04333237e+04 4.15889259e+03 1.65902992e+03 6.62576775e+02 2.65100320e+02 1.06370129e+02 4.28691369e+01 1.73948257e+01 7.13198264e+00 2.97092555e+00 1.26814902e+00 5.62529587e-01 2.65722334e-01 1.39350631e-01 8.59643273e-02 6.52530334e-02 6.03374172e-02 6.41270096e-02 7.37457216e-02 8.82190375e-02 1.07492118e-01 1.31997074e-01 1.62446168e-01 1.99710618e-01 # # uncertainties in the thermally averaged relativistic Gaunt factors 1.0903e-04 8.4955e-05 6.2913e-05 4.9498e-05 4.3895e-05 3.3465e-05 2.6304e-05 2.0375e-05 1.7575e-05 1.6280e-05 1.5871e-05 1.5287e-05 1.5442e-05 1.4591e-05 1.4810e-05 1.4965e-05 1.4888e-05 1.6059e-05 1.5694e-05 1.5606e-05 1.5545e-05 1.5506e-05 1.5505e-05 1.5491e-05 1.5471e-05 1.5464e-05 1.5452e-05 1.5462e-05 1.5466e-05 1.5459e-05 1.5458e-05 1.5451e-05 1.5469e-05 1.5468e-05 1.5467e-05 1.5456e-05 1.5456e-05 1.5453e-05 1.5453e-05 1.5456e-05 1.5456e-05 1.5467e-05 1.5468e-05 1.5469e-05 1.5450e-05 1.5458e-05 1.5457e-05 1.5470e-05 1.5459e-05 1.5446e-05 1.5455e-05 1.5457e-05 1.5469e-05 1.5469e-05 1.5448e-05 1.5467e-05 1.5458e-05 1.5460e-05 1.5459e-05 1.5466e-05 1.5461e-05 1.5454e-05 1.5457e-05 1.5458e-05 1.5461e-05 1.5472e-05 1.5450e-05 1.5454e-05 1.5459e-05 1.5461e-05 1.5468e-05 1.5466e-05 1.5464e-05 1.5455e-05 1.5453e-05 1.5460e-05 1.5467e-05 1.5466e-05 1.5461e-05 1.5456e-05 1.5463e-05 9.8345e-05 7.8528e-05 6.0105e-05 5.1928e-05 4.0857e-05 3.0533e-05 2.6265e-05 2.2853e-05 1.8106e-05 1.7783e-05 1.5529e-05 1.5045e-05 1.4603e-05 1.5915e-05 1.4803e-05 1.4939e-05 1.5020e-05 1.4806e-05 1.4682e-05 1.4614e-05 1.5169e-05 1.5125e-05 1.5121e-05 1.5105e-05 1.5083e-05 1.5075e-05 1.5063e-05 1.5073e-05 1.5077e-05 1.5069e-05 1.5069e-05 1.5061e-05 1.5079e-05 1.5078e-05 1.5077e-05 1.5066e-05 1.5066e-05 1.5063e-05 1.5063e-05 1.5066e-05 1.5066e-05 1.5077e-05 1.5078e-05 1.5079e-05 1.5060e-05 1.5068e-05 1.5067e-05 1.5080e-05 1.5069e-05 1.5056e-05 1.5065e-05 1.5067e-05 1.5079e-05 1.5079e-05 1.5058e-05 1.5077e-05 1.5068e-05 1.5070e-05 1.5069e-05 1.5076e-05 1.5071e-05 1.5064e-05 1.5067e-05 1.5068e-05 1.5071e-05 1.5082e-05 1.5060e-05 1.5064e-05 1.5069e-05 1.5071e-05 1.5078e-05 1.5076e-05 1.5074e-05 1.5065e-05 1.5063e-05 1.5070e-05 1.5077e-05 1.5076e-05 1.5071e-05 1.5066e-05 1.5073e-05 1.0379e-04 8.4049e-05 6.1658e-05 5.1153e-05 3.8800e-05 3.3284e-05 2.2911e-05 2.0960e-05 1.9838e-05 1.7475e-05 1.5173e-05 1.5616e-05 1.5364e-05 1.3785e-05 1.4512e-05 1.5532e-05 1.4786e-05 1.4616e-05 1.4520e-05 1.4470e-05 1.4431e-05 1.4407e-05 1.4966e-05 1.4951e-05 1.4931e-05 1.4923e-05 1.4911e-05 1.4922e-05 1.4926e-05 1.4918e-05 1.4918e-05 1.4910e-05 1.4928e-05 1.4927e-05 1.4926e-05 1.4916e-05 1.4916e-05 1.4912e-05 1.4912e-05 1.4916e-05 1.4916e-05 1.4926e-05 1.4927e-05 1.4928e-05 1.4910e-05 1.4917e-05 1.4916e-05 1.4929e-05 1.4918e-05 1.4905e-05 1.4914e-05 1.4916e-05 1.4928e-05 1.4928e-05 1.4908e-05 1.4926e-05 1.4917e-05 1.4919e-05 1.4918e-05 1.4925e-05 1.4920e-05 1.4913e-05 1.4916e-05 1.4918e-05 1.4920e-05 1.4931e-05 1.4909e-05 1.4913e-05 1.4918e-05 1.4921e-05 1.4927e-05 1.4925e-05 1.4923e-05 1.4914e-05 1.4913e-05 1.4919e-05 1.4926e-05 1.4925e-05 1.4920e-05 1.4916e-05 1.4922e-05 9.5964e-05 7.7756e-05 6.7373e-05 4.9191e-05 4.1163e-05 3.1600e-05 2.6566e-05 1.9277e-05 1.9382e-05 1.5470e-05 1.4835e-05 1.4186e-05 1.4804e-05 1.5322e-05 1.5484e-05 1.4923e-05 1.4058e-05 1.3835e-05 1.3706e-05 1.3634e-05 1.3582e-05 1.5005e-05 1.4999e-05 1.4982e-05 1.4960e-05 1.4952e-05 1.4939e-05 1.4949e-05 1.4953e-05 1.4945e-05 1.4945e-05 1.4937e-05 1.4955e-05 1.4954e-05 1.4952e-05 1.4942e-05 1.4942e-05 1.4939e-05 1.4939e-05 1.4942e-05 1.4942e-05 1.4952e-05 1.4953e-05 1.4954e-05 1.4937e-05 1.4944e-05 1.4943e-05 1.4955e-05 1.4945e-05 1.4932e-05 1.4941e-05 1.4943e-05 1.4954e-05 1.4955e-05 1.4935e-05 1.4953e-05 1.4944e-05 1.4945e-05 1.4945e-05 1.4952e-05 1.4947e-05 1.4940e-05 1.4943e-05 1.4944e-05 1.4947e-05 1.4957e-05 1.4936e-05 1.4940e-05 1.4945e-05 1.4947e-05 1.4953e-05 1.4952e-05 1.4950e-05 1.4941e-05 1.4939e-05 1.4946e-05 1.4953e-05 1.4952e-05 1.4946e-05 1.4942e-05 1.4949e-05 1.0819e-04 8.0359e-05 6.4810e-05 4.9978e-05 3.3393e-05 3.0893e-05 2.3771e-05 2.0824e-05 1.6153e-05 1.6282e-05 1.5288e-05 1.5221e-05 1.4537e-05 1.4701e-05 1.4844e-05 1.5280e-05 1.4965e-05 1.5326e-05 1.5167e-05 1.5078e-05 1.5301e-05 1.5268e-05 1.5268e-05 1.5256e-05 1.5238e-05 1.5232e-05 1.5221e-05 1.5231e-05 1.5234e-05 1.5227e-05 1.5227e-05 1.5220e-05 1.5237e-05 1.5236e-05 1.5235e-05 1.5225e-05 1.5225e-05 1.5222e-05 1.5222e-05 1.5225e-05 1.5225e-05 1.5235e-05 1.5236e-05 1.5237e-05 1.5220e-05 1.5226e-05 1.5226e-05 1.5238e-05 1.5228e-05 1.5216e-05 1.5224e-05 1.5226e-05 1.5237e-05 1.5237e-05 1.5218e-05 1.5236e-05 1.5227e-05 1.5228e-05 1.5228e-05 1.5235e-05 1.5230e-05 1.5223e-05 1.5226e-05 1.5227e-05 1.5230e-05 1.5240e-05 1.5219e-05 1.5223e-05 1.5228e-05 1.5230e-05 1.5236e-05 1.5234e-05 1.5232e-05 1.5224e-05 1.5223e-05 1.5229e-05 1.5235e-05 1.5234e-05 1.5229e-05 1.5225e-05 1.5231e-05 9.6414e-05 7.6636e-05 6.2342e-05 4.9203e-05 3.7473e-05 3.0615e-05 2.7014e-05 2.0346e-05 1.6772e-05 1.5913e-05 1.5403e-05 1.3675e-05 1.4758e-05 1.4646e-05 1.4824e-05 1.3649e-05 1.3706e-05 1.3991e-05 1.3893e-05 1.3839e-05 1.4221e-05 1.4194e-05 1.4200e-05 1.4190e-05 1.4173e-05 1.4167e-05 1.4157e-05 1.4168e-05 1.4172e-05 1.4165e-05 1.4165e-05 1.4157e-05 1.4175e-05 1.4174e-05 1.4173e-05 1.4163e-05 1.4163e-05 1.4159e-05 1.4159e-05 1.4163e-05 1.4163e-05 1.4173e-05 1.4174e-05 1.4175e-05 1.4157e-05 1.4164e-05 1.4164e-05 1.4176e-05 1.4165e-05 1.4153e-05 1.4161e-05 1.4164e-05 1.4175e-05 1.4175e-05 1.4155e-05 1.4174e-05 1.4164e-05 1.4166e-05 1.4165e-05 1.4173e-05 1.4167e-05 1.4161e-05 1.4164e-05 1.4165e-05 1.4168e-05 1.4178e-05 1.4157e-05 1.4161e-05 1.4166e-05 1.4168e-05 1.4174e-05 1.4172e-05 1.4170e-05 1.4162e-05 1.4160e-05 1.4166e-05 1.4173e-05 1.4172e-05 1.4167e-05 1.4163e-05 1.4169e-05 9.5982e-05 7.7199e-05 6.1390e-05 5.2630e-05 3.6927e-05 2.6633e-05 2.2796e-05 2.0131e-05 1.7530e-05 1.5725e-05 1.5110e-05 1.5501e-05 1.4076e-05 1.5195e-05 1.4077e-05 1.4468e-05 1.4589e-05 1.3557e-05 1.4807e-05 1.4704e-05 1.4634e-05 1.4590e-05 1.4584e-05 1.4568e-05 1.4548e-05 1.4540e-05 1.4528e-05 1.4537e-05 1.4540e-05 1.4533e-05 1.4533e-05 1.4526e-05 1.4542e-05 1.4541e-05 1.4540e-05 1.4531e-05 1.4531e-05 1.4527e-05 1.4527e-05 1.4531e-05 1.4531e-05 1.4540e-05 1.4541e-05 1.4542e-05 1.4525e-05 1.4532e-05 1.4531e-05 1.4543e-05 1.4533e-05 1.4521e-05 1.4529e-05 1.4531e-05 1.4542e-05 1.4542e-05 1.4523e-05 1.4541e-05 1.4532e-05 1.4534e-05 1.4533e-05 1.4540e-05 1.4535e-05 1.4529e-05 1.4531e-05 1.4532e-05 1.4535e-05 1.4545e-05 1.4525e-05 1.4529e-05 1.4533e-05 1.4535e-05 1.4541e-05 1.4539e-05 1.4537e-05 1.4530e-05 1.4528e-05 1.4534e-05 1.4541e-05 1.4539e-05 1.4535e-05 1.4531e-05 1.4537e-05 1.0117e-04 7.8299e-05 6.1384e-05 4.3974e-05 3.9975e-05 3.1748e-05 2.3946e-05 1.7820e-05 1.6912e-05 1.4007e-05 1.5089e-05 1.3833e-05 1.3842e-05 1.4598e-05 1.3862e-05 1.4075e-05 1.4615e-05 1.4322e-05 1.4154e-05 1.4059e-05 1.3995e-05 1.3954e-05 1.3951e-05 1.3936e-05 1.3917e-05 1.3909e-05 1.3897e-05 1.3907e-05 1.3910e-05 1.3903e-05 1.3903e-05 1.3896e-05 1.3913e-05 1.3912e-05 1.3911e-05 1.3901e-05 1.3901e-05 1.3898e-05 1.3898e-05 1.3901e-05 1.3901e-05 1.3910e-05 1.3911e-05 1.3912e-05 1.3895e-05 1.3902e-05 1.3902e-05 1.3913e-05 1.3903e-05 1.3891e-05 1.3899e-05 1.3902e-05 1.3912e-05 1.3913e-05 1.3893e-05 1.3911e-05 1.3902e-05 1.3904e-05 1.3903e-05 1.3910e-05 1.3905e-05 1.3899e-05 1.3902e-05 1.3903e-05 1.3905e-05 1.3915e-05 1.3895e-05 1.3899e-05 1.3904e-05 1.3906e-05 1.3912e-05 1.3910e-05 1.3908e-05 1.3900e-05 1.3898e-05 1.3904e-05 1.3911e-05 1.3910e-05 1.3905e-05 1.3901e-05 1.3907e-05 1.0183e-04 7.8334e-05 6.3818e-05 4.7915e-05 3.4186e-05 3.0029e-05 2.1965e-05 1.9735e-05 1.6464e-05 1.5202e-05 1.5537e-05 1.3243e-05 1.3938e-05 1.3930e-05 1.3801e-05 1.3638e-05 1.3392e-05 1.3249e-05 1.4526e-05 1.4420e-05 1.4347e-05 1.4301e-05 1.4294e-05 1.4277e-05 1.4256e-05 1.4248e-05 1.4236e-05 1.4245e-05 1.4248e-05 1.4241e-05 1.4240e-05 1.4234e-05 1.4250e-05 1.4248e-05 1.4247e-05 1.4238e-05 1.4238e-05 1.4235e-05 1.4235e-05 1.4238e-05 1.4238e-05 1.4247e-05 1.4248e-05 1.4249e-05 1.4233e-05 1.4239e-05 1.4239e-05 1.4250e-05 1.4240e-05 1.4229e-05 1.4237e-05 1.4239e-05 1.4249e-05 1.4249e-05 1.4231e-05 1.4248e-05 1.4239e-05 1.4241e-05 1.4240e-05 1.4247e-05 1.4242e-05 1.4236e-05 1.4239e-05 1.4240e-05 1.4242e-05 1.4252e-05 1.4232e-05 1.4236e-05 1.4241e-05 1.4243e-05 1.4248e-05 1.4247e-05 1.4245e-05 1.4237e-05 1.4235e-05 1.4241e-05 1.4248e-05 1.4247e-05 1.4242e-05 1.4238e-05 1.4244e-05 1.0442e-04 7.2732e-05 5.8611e-05 4.6652e-05 3.2520e-05 2.9886e-05 2.5272e-05 1.8170e-05 1.7118e-05 1.5062e-05 1.3812e-05 1.3568e-05 1.3688e-05 1.3632e-05 1.2766e-05 1.2232e-05 1.4510e-05 1.4035e-05 1.3892e-05 1.3812e-05 1.3756e-05 1.3720e-05 1.3720e-05 1.3707e-05 1.3689e-05 1.3682e-05 1.3671e-05 1.3681e-05 1.3684e-05 1.3677e-05 1.3677e-05 1.3670e-05 1.3687e-05 1.3686e-05 1.3685e-05 1.3675e-05 1.3675e-05 1.3672e-05 1.3672e-05 1.3675e-05 1.3675e-05 1.3684e-05 1.3685e-05 1.3686e-05 1.3670e-05 1.3676e-05 1.3676e-05 1.3687e-05 1.3677e-05 1.3666e-05 1.3674e-05 1.3676e-05 1.3686e-05 1.3687e-05 1.3668e-05 1.3685e-05 1.3676e-05 1.3678e-05 1.3677e-05 1.3684e-05 1.3679e-05 1.3673e-05 1.3676e-05 1.3677e-05 1.3680e-05 1.3689e-05 1.3669e-05 1.3673e-05 1.3678e-05 1.3680e-05 1.3685e-05 1.3684e-05 1.3682e-05 1.3674e-05 1.3672e-05 1.3678e-05 1.3685e-05 1.3684e-05 1.3679e-05 1.3675e-05 1.3681e-05 8.7608e-05 7.1182e-05 5.1820e-05 4.6726e-05 3.6444e-05 2.7079e-05 2.3520e-05 2.1170e-05 1.6095e-05 1.6383e-05 1.3765e-05 1.3494e-05 1.2946e-05 1.2795e-05 1.3928e-05 1.3672e-05 1.3811e-05 1.3632e-05 1.3861e-05 1.3789e-05 1.3731e-05 1.3693e-05 1.3691e-05 1.3677e-05 1.3659e-05 1.3652e-05 1.3641e-05 1.3650e-05 1.3654e-05 1.3647e-05 1.3647e-05 1.3640e-05 1.3656e-05 1.3655e-05 1.3654e-05 1.3645e-05 1.3645e-05 1.3642e-05 1.3642e-05 1.3645e-05 1.3645e-05 1.3654e-05 1.3654e-05 1.3655e-05 1.3639e-05 1.3646e-05 1.3645e-05 1.3656e-05 1.3647e-05 1.3636e-05 1.3643e-05 1.3645e-05 1.3655e-05 1.3656e-05 1.3638e-05 1.3654e-05 1.3646e-05 1.3647e-05 1.3647e-05 1.3653e-05 1.3649e-05 1.3643e-05 1.3645e-05 1.3646e-05 1.3649e-05 1.3658e-05 1.3639e-05 1.3643e-05 1.3647e-05 1.3649e-05 1.3655e-05 1.3653e-05 1.3651e-05 1.3644e-05 1.3642e-05 1.3648e-05 1.3654e-05 1.3653e-05 1.3648e-05 1.3645e-05 1.3650e-05 9.3124e-05 7.4934e-05 5.7582e-05 4.4774e-05 3.4544e-05 2.7648e-05 2.0291e-05 1.7973e-05 1.7514e-05 1.4240e-05 1.3679e-05 1.3241e-05 1.3610e-05 1.2208e-05 1.3294e-05 1.4233e-05 1.3862e-05 1.2852e-05 1.2760e-05 1.2837e-05 1.2790e-05 1.2759e-05 1.2762e-05 1.2752e-05 1.2735e-05 1.2729e-05 1.2718e-05 1.2728e-05 1.2732e-05 1.2725e-05 1.2725e-05 1.2718e-05 1.2735e-05 1.2734e-05 1.2733e-05 1.2723e-05 1.2723e-05 1.2720e-05 1.2720e-05 1.2723e-05 1.2723e-05 1.2733e-05 1.2734e-05 1.2734e-05 1.2718e-05 1.2724e-05 1.2724e-05 1.2736e-05 1.2725e-05 1.2714e-05 1.2722e-05 1.2724e-05 1.2734e-05 1.2735e-05 1.2716e-05 1.2733e-05 1.2724e-05 1.2726e-05 1.2726e-05 1.2732e-05 1.2727e-05 1.2721e-05 1.2724e-05 1.2725e-05 1.2728e-05 1.2737e-05 1.2717e-05 1.2721e-05 1.2726e-05 1.2728e-05 1.2734e-05 1.2732e-05 1.2730e-05 1.2722e-05 1.2720e-05 1.2726e-05 1.2733e-05 1.2732e-05 1.2727e-05 1.2723e-05 1.2729e-05 9.3012e-05 6.3696e-05 5.7713e-05 4.2971e-05 3.6601e-05 2.7945e-05 2.2804e-05 1.7771e-05 1.7183e-05 1.3661e-05 1.2877e-05 1.3681e-05 1.3111e-05 1.2973e-05 1.2592e-05 1.3513e-05 1.3164e-05 1.2963e-05 1.2847e-05 1.2782e-05 1.2736e-05 1.2706e-05 1.2709e-05 1.2698e-05 1.2682e-05 1.2676e-05 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