# # # 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) 24 # 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. # 4.15179079e+03 3.26658219e+03 2.56987405e+03 2.02157290e+03 1.59010416e+03 1.25060299e+03 9.83490443e+02 7.73351354e+02 6.08049149e+02 4.78029684e+02 3.75772337e+02 2.95358061e+02 2.32129284e+02 1.82422351e+02 1.43357972e+02 1.12677825e+02 8.86183031e+01 6.98148284e+01 5.52291739e+01 4.40888154e+01 3.58210927e+01 2.99662418e+01 2.60821316e+01 2.36943567e+01 2.23299668e+01 2.15928122e+01 2.12065097e+01 2.10049417e+01 2.08980064e+01 2.08396095e+01 2.08066553e+01 2.07874889e+01 2.07760621e+01 2.07691233e+01 2.07648540e+01 2.07622044e+01 2.07605495e+01 2.07595123e+01 2.07588608e+01 2.07584511e+01 2.07581931e+01 2.07580303e+01 2.07579274e+01 2.07578627e+01 2.07578216e+01 2.07577962e+01 2.07577800e+01 2.07577696e+01 2.07577630e+01 2.07577590e+01 2.07577564e+01 2.07577549e+01 2.07577539e+01 2.07577531e+01 2.07577528e+01 2.07577526e+01 2.07577522e+01 2.07577521e+01 2.07577522e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577522e+01 2.07577524e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577522e+01 2.07577523e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577520e+01 4.11238344e+03 3.23527980e+03 2.54500997e+03 2.00182256e+03 1.57441560e+03 1.23814123e+03 9.73591700e+02 7.65488477e+02 6.01803507e+02 4.73068546e+02 3.71831513e+02 2.92227739e+02 2.29642691e+02 1.80446964e+02 1.41788510e+02 1.11430397e+02 8.76259884e+01 6.90238554e+01 5.45958359e+01 4.35769285e+01 3.54000121e+01 2.96098523e+01 2.57688702e+01 2.34076906e+01 2.20585307e+01 2.13296045e+01 2.09476194e+01 2.07482974e+01 2.06425539e+01 2.05848060e+01 2.05522196e+01 2.05332657e+01 2.05219660e+01 2.05151033e+01 2.05108812e+01 2.05082608e+01 2.05066243e+01 2.05055985e+01 2.05049542e+01 2.05045490e+01 2.05042939e+01 2.05041329e+01 2.05040312e+01 2.05039671e+01 2.05039265e+01 2.05039014e+01 2.05038854e+01 2.05038751e+01 2.05038685e+01 2.05038646e+01 2.05038620e+01 2.05038606e+01 2.05038595e+01 2.05038587e+01 2.05038584e+01 2.05038583e+01 2.05038579e+01 2.05038578e+01 2.05038579e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038576e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038579e+01 2.05038580e+01 2.05038577e+01 2.05038575e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038580e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038577e+01 4.07297572e+03 3.20397756e+03 2.52014529e+03 1.98207209e+03 1.55872743e+03 1.22567948e+03 9.63693035e+02 7.57625730e+02 5.95557831e+02 4.68107417e+02 3.67890693e+02 2.89097450e+02 2.27156115e+02 1.78471593e+02 1.40219023e+02 1.10182955e+02 8.66336538e+01 6.82328661e+01 5.39625024e+01 4.30650390e+01 3.49789310e+01 2.92534718e+01 2.54556099e+01 2.31210246e+01 2.17870890e+01 2.10664000e+01 2.06887263e+01 2.04916531e+01 2.03870982e+01 2.03300007e+01 2.02977815e+01 2.02790401e+01 2.02678670e+01 2.02610817e+01 2.02569068e+01 2.02543158e+01 2.02526962e+01 2.02516819e+01 2.02510448e+01 2.02506441e+01 2.02503919e+01 2.02502326e+01 2.02501321e+01 2.02500687e+01 2.02500286e+01 2.02500037e+01 2.02499879e+01 2.02499778e+01 2.02499712e+01 2.02499674e+01 2.02499648e+01 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1.99987701e+01 1.99977673e+01 1.99971374e+01 1.99967412e+01 1.99964918e+01 1.99963344e+01 1.99962350e+01 1.99961723e+01 1.99961326e+01 1.99961081e+01 1.99960924e+01 1.99960824e+01 1.99960759e+01 1.99960721e+01 1.99960696e+01 1.99960682e+01 1.99960672e+01 1.99960664e+01 1.99960661e+01 1.99960659e+01 1.99960655e+01 1.99960654e+01 1.99960656e+01 1.99960654e+01 1.99960653e+01 1.99960654e+01 1.99960653e+01 1.99960655e+01 1.99960655e+01 1.99960653e+01 1.99960654e+01 1.99960654e+01 1.99960654e+01 1.99960655e+01 1.99960657e+01 1.99960653e+01 1.99960652e+01 1.99960654e+01 1.99960653e+01 1.99960655e+01 1.99960656e+01 1.99960654e+01 1.99960654e+01 1.99960654e+01 1.99960654e+01 3.99416090e+03 3.14137260e+03 2.47041666e+03 1.94257114e+03 1.52735083e+03 1.20075602e+03 9.43895689e+02 7.41900064e+02 5.83066479e+02 4.58185206e+02 3.60009201e+02 2.82836776e+02 2.22182895e+02 1.74520848e+02 1.37080056e+02 1.07688074e+02 8.46489861e+01 6.66509026e+01 5.26958401e+01 4.20412661e+01 3.41367583e+01 2.85407045e+01 2.48290823e+01 2.25476968e+01 2.12442130e+01 2.05399871e+01 2.01709405e+01 1.99783648e+01 1.98761935e+01 1.98203913e+01 1.97889063e+01 1.97705872e+01 1.97596674e+01 1.97530365e+01 1.97489565e+01 1.97464241e+01 1.97448424e+01 1.97438511e+01 1.97432284e+01 1.97428368e+01 1.97425902e+01 1.97424346e+01 1.97423363e+01 1.97422744e+01 1.97422351e+01 1.97422108e+01 1.97421954e+01 1.97421855e+01 1.97421791e+01 1.97421753e+01 1.97421728e+01 1.97421714e+01 1.97421704e+01 1.97421696e+01 1.97421694e+01 1.97421692e+01 1.97421688e+01 1.97421687e+01 1.97421688e+01 1.97421686e+01 1.97421686e+01 1.97421687e+01 1.97421686e+01 1.97421687e+01 1.97421687e+01 1.97421686e+01 1.97421687e+01 1.97421687e+01 1.97421687e+01 1.97421688e+01 1.97421690e+01 1.97421686e+01 1.97421685e+01 1.97421687e+01 1.97421686e+01 1.97421688e+01 1.97421689e+01 1.97421687e+01 1.97421687e+01 1.97421686e+01 1.97421686e+01 3.95475378e+03 3.11007057e+03 2.44555212e+03 1.92282084e+03 1.51166252e+03 1.18829436e+03 9.33996996e+02 7.34037281e+02 5.76820817e+02 4.53224037e+02 3.56068381e+02 2.79706441e+02 2.19696267e+02 1.72545480e+02 1.35510579e+02 1.06440651e+02 8.36566535e+01 6.58599273e+01 5.20625061e+01 4.15293723e+01 3.37156727e+01 2.81843206e+01 2.45158217e+01 2.22610307e+01 2.09727705e+01 2.02767813e+01 1.99120462e+01 1.97217208e+01 1.96207405e+01 1.95655907e+01 1.95344677e+01 1.95163655e+01 1.95055703e+01 1.94990156e+01 1.94949820e+01 1.94924789e+01 1.94909156e+01 1.94899357e+01 1.94893203e+01 1.94889332e+01 1.94886895e+01 1.94885357e+01 1.94884385e+01 1.94883773e+01 1.94883385e+01 1.94883145e+01 1.94882992e+01 1.94882894e+01 1.94882831e+01 1.94882794e+01 1.94882769e+01 1.94882755e+01 1.94882745e+01 1.94882738e+01 1.94882735e+01 1.94882733e+01 1.94882730e+01 1.94882729e+01 1.94882730e+01 1.94882728e+01 1.94882727e+01 1.94882728e+01 1.94882728e+01 1.94882729e+01 1.94882729e+01 1.94882727e+01 1.94882729e+01 1.94882728e+01 1.94882728e+01 1.94882729e+01 1.94882731e+01 1.94882728e+01 1.94882726e+01 1.94882729e+01 1.94882728e+01 1.94882729e+01 1.94882731e+01 1.94882728e+01 1.94882729e+01 1.94882728e+01 1.94882728e+01 3.91534620e+03 3.07876775e+03 2.42068770e+03 1.90307028e+03 1.49597398e+03 1.17583260e+03 9.24098320e+02 7.26174494e+02 5.70575089e+02 4.48262946e+02 3.52127653e+02 2.76576118e+02 2.17209671e+02 1.70570111e+02 1.33941094e+02 1.05193210e+02 8.26643375e+01 6.50689451e+01 5.14291762e+01 4.10174858e+01 3.32945927e+01 2.78279349e+01 2.42025643e+01 2.19743627e+01 2.07013346e+01 2.00135764e+01 1.96531533e+01 1.94650751e+01 1.93652884e+01 1.93107862e+01 1.92800292e+01 1.92621395e+01 1.92514705e+01 1.92449926e+01 1.92410068e+01 1.92385330e+01 1.92369879e+01 1.92360195e+01 1.92354112e+01 1.92350287e+01 1.92347879e+01 1.92346358e+01 1.92345398e+01 1.92344793e+01 1.92344410e+01 1.92344173e+01 1.92344022e+01 1.92343925e+01 1.92343862e+01 1.92343825e+01 1.92343801e+01 1.92343787e+01 1.92343778e+01 1.92343770e+01 1.92343767e+01 1.92343766e+01 1.92343762e+01 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3.72615538e+01 1.59875997e+01 7.14624595e+00 3.41527119e+00 1.82235197e+00 1.14759940e+00 8.81264296e-01 8.03644974e-01 8.14819885e-01 4.70640909e+25 3.55239759e+25 2.67399902e+25 2.00665772e+25 1.50071523e+25 1.11801132e+25 8.29256689e+24 6.11997691e+24 4.49043580e+24 3.27252490e+24 2.36593365e+24 1.69423304e+24 1.19930439e+24 8.37048776e+23 5.74087960e+23 3.85222218e+23 2.51470089e+23 1.58550520e+23 9.57001378e+22 5.47465631e+22 2.93931662e+22 1.47116991e+22 6.86338875e+21 3.00943534e+21 1.25898933e+21 5.11127022e+20 2.04302632e+20 8.11877057e+19 3.22437227e+19 1.28230369e+19 5.10715371e+18 2.03583903e+18 8.11706959e+17 3.23570848e+17 1.28941579e+17 5.13665545e+16 2.04581610e+16 8.14675918e+15 3.24384144e+15 1.29153681e+15 5.14205314e+14 2.04717677e+14 8.15018004e+13 3.24470114e+13 1.29175292e+13 5.14259704e+12 2.04731407e+12 8.15052920e+11 3.24479149e+11 1.29177732e+11 5.14266891e+10 2.04733885e+10 8.15063384e+09 3.24484452e+09 1.29180751e+09 5.14285124e+08 2.04745178e+08 8.15134124e+07 3.24528961e+07 1.29208796e+07 5.14461957e+06 2.04856707e+06 8.15837495e+05 3.24972495e+05 1.29488419e+05 5.16224231e+04 2.05966844e+04 8.22826561e+03 3.29369300e+03 1.32252090e+03 5.33581861e+02 2.16864994e+02 8.91325514e+01 3.72615542e+01 1.59875996e+01 7.14624601e+00 3.41527121e+00 1.82235195e+00 1.14759940e+00 8.81264292e-01 8.03644974e-01 1.18219651e+26 8.92321931e+25 6.71678187e+25 5.04049631e+25 3.76962621e+25 2.80831746e+25 2.08299862e+25 1.53726870e+25 1.12794648e+25 8.22021090e+24 5.94295662e+24 4.25572100e+24 3.01251643e+24 2.10257146e+24 1.44204376e+24 9.67634462e+23 6.31664304e+23 3.98260899e+23 2.40387878e+23 1.37517149e+23 7.38322955e+22 3.69541174e+22 1.72400531e+22 7.55935979e+21 3.16243821e+21 1.28389303e+21 5.13185010e+20 2.03934296e+20 8.09925696e+19 3.22100123e+19 1.28285901e+19 5.11379644e+18 2.03891570e+18 8.12773223e+17 3.23886602e+17 1.29026951e+17 5.13885770e+16 2.04637338e+16 8.14816125e+15 3.24419377e+15 1.29162533e+15 5.14227543e+14 2.04723259e+14 8.15032030e+13 3.24473633e+13 1.29176179e+13 5.14261929e+12 2.04731965e+12 8.15054314e+11 3.24479504e+11 1.29177820e+11 5.14267117e+10 2.04733940e+10 8.15063517e+09 3.24484490e+09 1.29180761e+09 5.14285140e+08 2.04745183e+08 8.15134146e+07 3.24528962e+07 1.29208796e+07 5.14461963e+06 2.04856707e+06 8.15837502e+05 3.24972495e+05 1.29488418e+05 5.16224235e+04 2.05966843e+04 8.22826563e+03 3.29369301e+03 1.32252091e+03 5.33581851e+02 2.16864992e+02 8.91325524e+01 3.72615540e+01 1.59875998e+01 7.14624606e+00 3.41527117e+00 1.82235195e+00 1.14759940e+00 8.81264292e-01 2.96954338e+26 2.24141135e+26 1.68717932e+26 1.26611543e+26 9.46887294e+25 7.05417451e+25 5.23225598e+25 3.86144438e+25 2.83327345e+25 2.06482362e+25 1.49280321e+25 1.06898878e+25 7.56709914e+24 5.28142073e+24 3.62225015e+24 2.43058787e+24 1.58666900e+24 1.00038615e+24 6.03827048e+23 3.45427461e+23 1.85458341e+23 9.28245460e+22 4.33050554e+22 1.89882533e+22 7.94368564e+21 3.22499348e+21 1.28906246e+21 5.12259792e+20 2.03444137e+20 8.09078929e+19 3.22239614e+19 1.28452759e+19 5.12152467e+18 2.04159403e+18 8.13566359e+17 3.24101048e+17 1.29082269e+17 5.14025751e+16 2.04672556e+16 8.14904626e+15 3.24441612e+15 1.29168117e+15 5.14241566e+14 2.04726783e+14 8.15040871e+13 3.24475862e+13 1.29176738e+13 5.14263329e+12 2.04732315e+12 8.15055205e+11 3.24479726e+11 1.29177877e+11 5.14267257e+10 2.04733974e+10 8.15063610e+09 3.24484513e+09 1.29180765e+09 5.14285154e+08 2.04745189e+08 8.15134148e+07 3.24528963e+07 1.29208798e+07 5.14461962e+06 2.04856708e+06 8.15837503e+05 3.24972493e+05 1.29488419e+05 5.16224233e+04 2.05966843e+04 8.22826568e+03 3.29369304e+03 1.32252088e+03 5.33581848e+02 2.16864995e+02 8.91325520e+01 3.72615543e+01 1.59875999e+01 7.14624597e+00 3.41527118e+00 1.82235194e+00 1.14759940e+00 7.45915572e+26 5.63017076e+26 4.23800285e+26 3.18033817e+26 2.37847335e+26 1.77192852e+26 1.31428328e+26 9.69950974e+25 7.11686114e+25 5.18660244e+25 3.74975213e+25 2.68517842e+25 1.90076936e+25 1.32663291e+25 9.09868099e+24 6.10536070e+24 3.98553232e+24 2.51285639e+24 1.51674497e+24 8.67674552e+23 4.65850291e+23 2.33164718e+23 1.08777381e+23 4.76963358e+22 1.99536362e+22 8.10081737e+21 3.23797851e+21 1.28673842e+21 5.11028566e+20 2.03231438e+20 8.09429314e+19 3.22658742e+19 1.28646883e+19 5.12825234e+18 2.04358630e+18 8.14105023e+17 3.24240000e+17 1.29117431e+17 5.14114215e+16 2.04694787e+16 8.14960478e+15 3.24455638e+15 1.29171639e+15 5.14250416e+14 2.04729003e+14 8.15046470e+13 3.24477267e+13 1.29177090e+13 5.14264209e+12 2.04732538e+12 8.15055762e+11 3.24479868e+11 1.29177912e+11 5.14267341e+10 2.04733997e+10 8.15063669e+09 3.24484523e+09 1.29180768e+09 5.14285168e+08 2.04745189e+08 8.15134152e+07 3.24528967e+07 1.29208798e+07 5.14461967e+06 2.04856709e+06 8.15837497e+05 3.24972495e+05 1.29488419e+05 5.16224235e+04 2.05966844e+04 8.22826575e+03 3.29369298e+03 1.32252087e+03 5.33581854e+02 2.16864994e+02 8.91325527e+01 3.72615546e+01 1.59875997e+01 7.14624598e+00 3.41527117e+00 1.82235194e+00 1.87365520e+27 1.41423495e+27 1.06453819e+27 7.98864829e+26 5.97445492e+26 4.45088322e+26 3.30133034e+26 2.43640669e+26 1.78767469e+26 1.30281563e+26 9.41895149e+25 6.74486323e+25 4.77451678e+25 3.33235120e+25 2.28548533e+25 1.53359727e+25 1.00112046e+25 6.31200988e+24 3.80989111e+24 2.17949993e+24 1.17016302e+24 5.85683290e+23 2.73236428e+23 1.19807779e+23 5.01212679e+22 2.03483332e+22 8.13343430e+21 3.23214078e+21 1.28364572e+21 5.10494293e+20 2.03319451e+20 8.10482117e+19 3.23146360e+19 1.28815875e+19 5.13325669e+18 2.04493936e+18 8.14454056e+17 3.24328322e+17 1.29139652e+17 5.14170056e+16 2.04708816e+16 8.14995710e+15 3.24464485e+15 1.29173862e+15 5.14255994e+14 2.04730410e+14 8.15049998e+13 3.24478150e+13 1.29177311e+13 5.14264770e+12 2.04732678e+12 8.15056121e+11 3.24479956e+11 1.29177933e+11 5.14267400e+10 2.04734012e+10 8.15063695e+09 3.24484532e+09 1.29180772e+09 5.14285170e+08 2.04745190e+08 8.15134161e+07 3.24528967e+07 1.29208799e+07 5.14461967e+06 2.04856707e+06 8.15837503e+05 3.24972494e+05 1.29488419e+05 5.16224237e+04 2.05966846e+04 8.22826560e+03 3.29369296e+03 1.32252089e+03 5.33581851e+02 2.16864995e+02 8.91325534e+01 3.72615542e+01 1.59875997e+01 7.14624596e+00 3.41527116e+00 4.70640909e+27 3.55239759e+27 2.67399902e+27 2.00665772e+27 1.50071523e+27 1.11801132e+27 8.29256689e+26 6.11997691e+26 4.49043580e+26 3.27252490e+26 2.36593365e+26 1.69423304e+26 1.19930439e+26 8.37048776e+25 5.74087960e+25 3.85222218e+25 2.51470089e+25 1.58550520e+25 9.57001378e+24 5.47465631e+24 2.93931662e+24 1.47116991e+24 6.86338875e+23 3.00943534e+23 1.25898933e+23 5.11127022e+22 2.04302632e+22 8.11877057e+21 3.22437227e+21 1.28230369e+21 5.10715371e+20 2.03583903e+20 8.11706958e+19 3.23570848e+19 1.28941578e+19 5.13665543e+18 2.04581609e+18 8.14675911e+17 3.24384139e+17 1.29153679e+17 5.14205296e+16 2.04717666e+16 8.15017934e+15 3.24470069e+15 1.29175264e+15 5.14259527e+14 2.04731296e+14 8.15052216e+13 3.24478705e+13 1.29177452e+13 5.14265122e+12 2.04732769e+12 8.15056342e+11 3.24480009e+11 1.29177948e+11 5.14267437e+10 2.04734018e+10 8.15063717e+09 3.24484541e+09 1.29180772e+09 5.14285172e+08 2.04745193e+08 8.15134161e+07 3.24528969e+07 1.29208799e+07 5.14461963e+06 2.04856709e+06 8.15837501e+05 3.24972495e+05 1.29488420e+05 5.16224242e+04 2.05966843e+04 8.22826555e+03 3.29369300e+03 1.32252088e+03 5.33581856e+02 2.16864997e+02 8.91325523e+01 3.72615542e+01 1.59875997e+01 7.14624595e+00 1.18219651e+28 8.92321931e+27 6.71678187e+27 5.04049631e+27 3.76962621e+27 2.80831746e+27 2.08299862e+27 1.53726870e+27 1.12794648e+27 8.22021090e+26 5.94295662e+26 4.25572100e+26 3.01251643e+26 2.10257146e+26 1.44204376e+26 9.67634462e+25 6.31664304e+25 3.98260899e+25 2.40387878e+25 1.37517149e+25 7.38322955e+24 3.69541174e+24 1.72400531e+24 7.55935979e+23 3.16243821e+23 1.28389303e+23 5.13185010e+22 2.03934296e+22 8.09925696e+21 3.22100123e+21 1.28285901e+21 5.11379644e+20 2.03891569e+20 8.12773222e+19 3.23886601e+19 1.29026951e+19 5.13885768e+18 2.04637337e+18 8.14816118e+17 3.24419372e+17 1.29162531e+17 5.14227526e+16 2.04723248e+16 8.15031960e+15 3.24473589e+15 1.29176151e+15 5.14261752e+14 2.04731853e+14 8.15053610e+13 3.24479059e+13 1.29177540e+13 5.14265348e+12 2.04732824e+12 8.15056475e+11 3.24480047e+11 1.29177958e+11 5.14267453e+10 2.04734024e+10 8.15063739e+09 3.24484542e+09 1.29180773e+09 5.14285178e+08 2.04745193e+08 8.15134167e+07 3.24528970e+07 1.29208798e+07 5.14461968e+06 2.04856708e+06 8.15837503e+05 3.24972497e+05 1.29488421e+05 5.16224233e+04 2.05966841e+04 8.22826564e+03 3.29369298e+03 1.32252089e+03 5.33581860e+02 2.16864994e+02 8.91325524e+01 3.72615541e+01 1.59875996e+01 2.96954338e+28 2.24141135e+28 1.68717932e+28 1.26611543e+28 9.46887294e+27 7.05417451e+27 5.23225598e+27 3.86144438e+27 2.83327345e+27 2.06482362e+27 1.49280321e+27 1.06898878e+27 7.56709914e+26 5.28142073e+26 3.62225015e+26 2.43058787e+26 1.58666900e+26 1.00038615e+26 6.03827048e+25 3.45427461e+25 1.85458341e+25 9.28245460e+24 4.33050554e+24 1.89882533e+24 7.94368564e+23 3.22499348e+23 1.28906246e+23 5.12259792e+22 2.03444137e+22 8.09078929e+21 3.22239614e+21 1.28452759e+21 5.12152467e+20 2.04159403e+20 8.13566359e+19 3.24101047e+19 1.29082269e+19 5.14025749e+18 2.04672555e+18 8.14904619e+17 3.24441608e+17 1.29168114e+17 5.14241548e+16 2.04726771e+16 8.15040800e+15 3.24475818e+15 1.29176710e+15 5.14263152e+14 2.04732203e+14 8.15054500e+13 3.24479281e+13 1.29177597e+13 5.14265488e+12 2.04732858e+12 8.15056569e+11 3.24480070e+11 1.29177962e+11 5.14267467e+10 2.04734030e+10 8.15063742e+09 3.24484543e+09 1.29180774e+09 5.14285178e+08 2.04745194e+08 8.15134168e+07 3.24528967e+07 1.29208799e+07 5.14461966e+06 2.04856709e+06 8.15837507e+05 3.24972499e+05 1.29488419e+05 5.16224229e+04 2.05966844e+04 8.22826560e+03 3.29369301e+03 1.32252090e+03 5.33581853e+02 2.16864995e+02 8.91325521e+01 3.72615541e+01 # # uncertainties in the thermally averaged relativistic Gaunt factors 2.8637e-03 2.3466e-03 1.8447e-03 1.3389e-03 1.1298e-03 7.6815e-04 6.9449e-04 5.3118e-04 4.4023e-04 2.9561e-04 2.4871e-04 2.1184e-04 1.6581e-04 1.2926e-04 1.1029e-04 8.0845e-05 6.2765e-05 4.8376e-05 3.6790e-05 3.2306e-05 2.5621e-05 2.1784e-05 1.7057e-05 1.6751e-05 1.6318e-05 1.5114e-05 1.5240e-05 1.4910e-05 1.5195e-05 1.5052e-05 1.6351e-05 1.6007e-05 1.5666e-05 1.5600e-05 1.5548e-05 1.5534e-05 1.5500e-05 1.5472e-05 1.5465e-05 1.5475e-05 1.5488e-05 1.5476e-05 1.5471e-05 1.5462e-05 1.5446e-05 1.5471e-05 1.5467e-05 1.5471e-05 1.5454e-05 1.5451e-05 1.5461e-05 1.5470e-05 1.5466e-05 1.5463e-05 1.5468e-05 1.5457e-05 1.5457e-05 1.5456e-05 1.5473e-05 1.5457e-05 1.5455e-05 1.5453e-05 1.5456e-05 1.5470e-05 1.5467e-05 1.5466e-05 1.5457e-05 1.5459e-05 1.5461e-05 1.5477e-05 1.5481e-05 1.5460e-05 1.5446e-05 1.5463e-05 1.5457e-05 1.5459e-05 1.5471e-05 1.5458e-05 1.5465e-05 1.5459e-05 1.5459e-05 2.9741e-03 2.2450e-03 1.6842e-03 1.4353e-03 1.1259e-03 8.7222e-04 7.1389e-04 5.4892e-04 4.3037e-04 3.2420e-04 2.6729e-04 2.1105e-04 1.5348e-04 1.2859e-04 8.7111e-05 8.2523e-05 5.4504e-05 4.7717e-05 3.8621e-05 2.7973e-05 2.3074e-05 2.1979e-05 1.7720e-05 1.7360e-05 1.5137e-05 1.6360e-05 1.4462e-05 1.5187e-05 1.4725e-05 1.4901e-05 1.4981e-05 1.4776e-05 1.4658e-05 1.5230e-05 1.5170e-05 1.5152e-05 1.5115e-05 1.5086e-05 1.5077e-05 1.5086e-05 1.5098e-05 1.5087e-05 1.5081e-05 1.5072e-05 1.5056e-05 1.5081e-05 1.5077e-05 1.5081e-05 1.5064e-05 1.5061e-05 1.5071e-05 1.5080e-05 1.5076e-05 1.5073e-05 1.5078e-05 1.5067e-05 1.5067e-05 1.5066e-05 1.5083e-05 1.5067e-05 1.5065e-05 1.5063e-05 1.5066e-05 1.5080e-05 1.5077e-05 1.5076e-05 1.5067e-05 1.5069e-05 1.5071e-05 1.5087e-05 1.5091e-05 1.5070e-05 1.5056e-05 1.5073e-05 1.5067e-05 1.5069e-05 1.5081e-05 1.5068e-05 1.5075e-05 1.5069e-05 1.5069e-05 2.8932e-03 2.2093e-03 1.8117e-03 1.4299e-03 1.1443e-03 8.3005e-04 6.5038e-04 5.6081e-04 4.2684e-04 3.3944e-04 2.4471e-04 1.9203e-04 1.4038e-04 1.2436e-04 9.9509e-05 7.9907e-05 6.1335e-05 4.8058e-05 4.0681e-05 2.9661e-05 2.2333e-05 2.0811e-05 1.7594e-05 1.6897e-05 1.6435e-05 1.5837e-05 1.5113e-05 1.4633e-05 1.6136e-05 1.5432e-05 1.4758e-05 1.4592e-05 1.4501e-05 1.4469e-05 1.4438e-05 1.4438e-05 1.4960e-05 1.4932e-05 1.4925e-05 1.4935e-05 1.4947e-05 1.4935e-05 1.4930e-05 1.4921e-05 1.4906e-05 1.4930e-05 1.4926e-05 1.4930e-05 1.4913e-05 1.4910e-05 1.4920e-05 1.4929e-05 1.4925e-05 1.4922e-05 1.4927e-05 1.4916e-05 1.4916e-05 1.4916e-05 1.4932e-05 1.4916e-05 1.4915e-05 1.4912e-05 1.4915e-05 1.4929e-05 1.4926e-05 1.4925e-05 1.4917e-05 1.4918e-05 1.4920e-05 1.4936e-05 1.4940e-05 1.4919e-05 1.4905e-05 1.4922e-05 1.4916e-05 1.4919e-05 1.4930e-05 1.4917e-05 1.4924e-05 1.4918e-05 1.4918e-05 2.5048e-03 2.3007e-03 1.6704e-03 1.3035e-03 1.0314e-03 8.5151e-04 6.7973e-04 5.4940e-04 4.1505e-04 3.3605e-04 2.5169e-04 2.0557e-04 1.6024e-04 1.3837e-04 9.9841e-05 6.6959e-05 5.9715e-05 4.6415e-05 4.1485e-05 3.0705e-05 2.5181e-05 1.8413e-05 1.6851e-05 1.4669e-05 1.4871e-05 1.4221e-05 1.4595e-05 1.4500e-05 1.5347e-05 1.4854e-05 1.4018e-05 1.3804e-05 1.3681e-05 1.3631e-05 1.3588e-05 1.5031e-05 1.4993e-05 1.4963e-05 1.4954e-05 1.4963e-05 1.4974e-05 1.4962e-05 1.4957e-05 1.4948e-05 1.4933e-05 1.4957e-05 1.4952e-05 1.4956e-05 1.4940e-05 1.4937e-05 1.4947e-05 1.4955e-05 1.4952e-05 1.4949e-05 1.4953e-05 1.4943e-05 1.4943e-05 1.4942e-05 1.4958e-05 1.4943e-05 1.4941e-05 1.4939e-05 1.4942e-05 1.4955e-05 1.4953e-05 1.4951e-05 1.4943e-05 1.4945e-05 1.4947e-05 1.4962e-05 1.4966e-05 1.4946e-05 1.4932e-05 1.4949e-05 1.4943e-05 1.4945e-05 1.4956e-05 1.4944e-05 1.4951e-05 1.4945e-05 1.4945e-05 2.8687e-03 2.2273e-03 1.7077e-03 1.3987e-03 1.0885e-03 8.8011e-04 6.4263e-04 4.8881e-04 4.4218e-04 2.9122e-04 2.5407e-04 1.9254e-04 1.4787e-04 1.1936e-04 9.4216e-05 7.1229e-05 6.5024e-05 4.7939e-05 3.7766e-05 2.8675e-05 2.4253e-05 2.0173e-05 1.7689e-05 1.5140e-05 1.6004e-05 1.5022e-05 1.4393e-05 1.4120e-05 1.4748e-05 1.5182e-05 1.4302e-05 1.5287e-05 1.5139e-05 1.5432e-05 1.5305e-05 1.5294e-05 1.5264e-05 1.5239e-05 1.5232e-05 1.5242e-05 1.5254e-05 1.5243e-05 1.5238e-05 1.5231e-05 1.5216e-05 1.5239e-05 1.5235e-05 1.5239e-05 1.5223e-05 1.5220e-05 1.5230e-05 1.5238e-05 1.5234e-05 1.5231e-05 1.5236e-05 1.5226e-05 1.5226e-05 1.5225e-05 1.5241e-05 1.5226e-05 1.5224e-05 1.5222e-05 1.5225e-05 1.5238e-05 1.5235e-05 1.5234e-05 1.5226e-05 1.5228e-05 1.5230e-05 1.5244e-05 1.5248e-05 1.5229e-05 1.5216e-05 1.5231e-05 1.5226e-05 1.5228e-05 1.5239e-05 1.5227e-05 1.5233e-05 1.5228e-05 1.5228e-05 2.7790e-03 2.0075e-03 1.7088e-03 1.1967e-03 1.0061e-03 8.1237e-04 7.0284e-04 5.0970e-04 4.1934e-04 3.3109e-04 2.5841e-04 2.0502e-04 1.5863e-04 1.2341e-04 9.7692e-05 7.2606e-05 5.9613e-05 4.6071e-05 3.6060e-05 3.1878e-05 2.5887e-05 1.9752e-05 1.7544e-05 1.5711e-05 1.5580e-05 1.3818e-05 1.5227e-05 1.4480e-05 1.4718e-05 1.3617e-05 1.4104e-05 1.3967e-05 1.3872e-05 1.3838e-05 1.4227e-05 1.4223e-05 1.4196e-05 1.4172e-05 1.4167e-05 1.4179e-05 1.4191e-05 1.4181e-05 1.4176e-05 1.4168e-05 1.4153e-05 1.4177e-05 1.4173e-05 1.4177e-05 1.4161e-05 1.4158e-05 1.4167e-05 1.4176e-05 1.4172e-05 1.4169e-05 1.4174e-05 1.4164e-05 1.4164e-05 1.4163e-05 1.4179e-05 1.4163e-05 1.4162e-05 1.4159e-05 1.4162e-05 1.4176e-05 1.4173e-05 1.4172e-05 1.4164e-05 1.4165e-05 1.4167e-05 1.4182e-05 1.4186e-05 1.4166e-05 1.4153e-05 1.4169e-05 1.4163e-05 1.4166e-05 1.4177e-05 1.4164e-05 1.4171e-05 1.4165e-05 1.4165e-05 2.8703e-03 2.1656e-03 1.7573e-03 1.2479e-03 1.0805e-03 8.5498e-04 6.6777e-04 4.9414e-04 4.0706e-04 3.3345e-04 2.2752e-04 1.9783e-04 1.4684e-04 1.1370e-04 9.1560e-05 7.2375e-05 5.6839e-05 4.7629e-05 3.6670e-05 2.7875e-05 2.1565e-05 2.0727e-05 1.5541e-05 1.7049e-05 1.5166e-05 1.4698e-05 1.5143e-05 1.4998e-05 1.4022e-05 1.4386e-05 1.4551e-05 1.3535e-05 1.4776e-05 1.4695e-05 1.4635e-05 1.4615e-05 1.4579e-05 1.4551e-05 1.4542e-05 1.4550e-05 1.4561e-05 1.4549e-05 1.4544e-05 1.4536e-05 1.4522e-05 1.4544e-05 1.4540e-05 1.4544e-05 1.4529e-05 1.4526e-05 1.4535e-05 1.4543e-05 1.4540e-05 1.4537e-05 1.4541e-05 1.4531e-05 1.4531e-05 1.4531e-05 1.4546e-05 1.4531e-05 1.4530e-05 1.4527e-05 1.4530e-05 1.4543e-05 1.4540e-05 1.4539e-05 1.4532e-05 1.4533e-05 1.4535e-05 1.4549e-05 1.4553e-05 1.4534e-05 1.4521e-05 1.4537e-05 1.4531e-05 1.4533e-05 1.4544e-05 1.4532e-05 1.4538e-05 1.4533e-05 1.4533e-05 2.7643e-03 2.3146e-03 1.5239e-03 1.3139e-03 1.0438e-03 7.7595e-04 5.6894e-04 4.9378e-04 3.7304e-04 3.2500e-04 2.3753e-04 2.0403e-04 1.5801e-04 1.2785e-04 9.6650e-05 7.4766e-05 5.5761e-05 3.9595e-05 3.5243e-05 3.0191e-05 2.3115e-05 1.9070e-05 1.6270e-05 1.5282e-05 1.5346e-05 1.4413e-05 1.3720e-05 1.4396e-05 1.3781e-05 1.4014e-05 1.4555e-05 1.4281e-05 1.4124e-05 1.4052e-05 1.3997e-05 1.3980e-05 1.3946e-05 1.3919e-05 1.3910e-05 1.3919e-05 1.3931e-05 1.3920e-05 1.3915e-05 1.3907e-05 1.3891e-05 1.3915e-05 1.3911e-05 1.3914e-05 1.3899e-05 1.3896e-05 1.3905e-05 1.3914e-05 1.3910e-05 1.3907e-05 1.3912e-05 1.3902e-05 1.3902e-05 1.3901e-05 1.3916e-05 1.3901e-05 1.3900e-05 1.3898e-05 1.3900e-05 1.3913e-05 1.3911e-05 1.3910e-05 1.3902e-05 1.3903e-05 1.3905e-05 1.3920e-05 1.3924e-05 1.3904e-05 1.3891e-05 1.3907e-05 1.3901e-05 1.3904e-05 1.3914e-05 1.3902e-05 1.3909e-05 1.3903e-05 1.3903e-05 2.5130e-03 2.2120e-03 1.6172e-03 1.3940e-03 1.0766e-03 8.2898e-04 6.5983e-04 5.1207e-04 3.8102e-04 3.1306e-04 2.4800e-04 1.7626e-04 1.4911e-04 1.1280e-04 9.7912e-05 7.0159e-05 5.7973e-05 4.5125e-05 3.5150e-05 2.7221e-05 2.2214e-05 1.8491e-05 1.6819e-05 1.5351e-05 1.4533e-05 1.4551e-05 1.4031e-05 1.3788e-05 1.3734e-05 1.3582e-05 1.3370e-05 1.3229e-05 1.4495e-05 1.4410e-05 1.4347e-05 1.4325e-05 1.4288e-05 1.4260e-05 1.4250e-05 1.4258e-05 1.4268e-05 1.4257e-05 1.4252e-05 1.4244e-05 1.4229e-05 1.4251e-05 1.4247e-05 1.4251e-05 1.4236e-05 1.4233e-05 1.4242e-05 1.4250e-05 1.4247e-05 1.4244e-05 1.4248e-05 1.4239e-05 1.4239e-05 1.4238e-05 1.4253e-05 1.4239e-05 1.4237e-05 1.4235e-05 1.4238e-05 1.4250e-05 1.4248e-05 1.4246e-05 1.4239e-05 1.4240e-05 1.4242e-05 1.4256e-05 1.4260e-05 1.4241e-05 1.4229e-05 1.4244e-05 1.4239e-05 1.4241e-05 1.4251e-05 1.4239e-05 1.4246e-05 1.4240e-05 1.4241e-05 2.6157e-03 2.1283e-03 1.6601e-03 1.1954e-03 1.0129e-03 8.0974e-04 6.0448e-04 4.7979e-04 4.1747e-04 2.9731e-04 2.2390e-04 1.8905e-04 1.4926e-04 1.1356e-04 9.2879e-05 7.2052e-05 5.6310e-05 4.3216e-05 3.5041e-05 2.9439e-05 2.3904e-05 1.7814e-05 1.5208e-05 1.4120e-05 1.3851e-05 1.3412e-05 1.3503e-05 1.3516e-05 1.3259e-05 1.3386e-05 1.4442e-05 1.4000e-05 1.3866e-05 1.3806e-05 1.3758e-05 1.3746e-05 1.3715e-05 1.3690e-05 1.3683e-05 1.3692e-05 1.3703e-05 1.3693e-05 1.3688e-05 1.3680e-05 1.3666e-05 1.3689e-05 1.3685e-05 1.3688e-05 1.3673e-05 1.3670e-05 1.3679e-05 1.3687e-05 1.3684e-05 1.3681e-05 1.3685e-05 1.3676e-05 1.3676e-05 1.3675e-05 1.3690e-05 1.3676e-05 1.3674e-05 1.3672e-05 1.3675e-05 1.3687e-05 1.3685e-05 1.3684e-05 1.3676e-05 1.3677e-05 1.3679e-05 1.3693e-05 1.3697e-05 1.3678e-05 1.3666e-05 1.3681e-05 1.3676e-05 1.3678e-05 1.3688e-05 1.3676e-05 1.3683e-05 1.3677e-05 1.3678e-05 2.8332e-03 1.9400e-03 1.6461e-03 1.2896e-03 1.0445e-03 7.7464e-04 6.7086e-04 4.9295e-04 3.9231e-04 2.9629e-04 2.4056e-04 1.8806e-04 1.3770e-04 1.1489e-04 8.6488e-05 7.5070e-05 5.1962e-05 4.3303e-05 3.8051e-05 2.4870e-05 2.0954e-05 1.9669e-05 1.6102e-05 1.5472e-05 1.3426e-05 1.4460e-05 1.2822e-05 1.3779e-05 1.2779e-05 1.3604e-05 1.3779e-05 1.3607e-05 1.3848e-05 1.3783e-05 1.3733e-05 1.3718e-05 1.3686e-05 1.3661e-05 1.3653e-05 1.3662e-05 1.3672e-05 1.3662e-05 1.3657e-05 1.3650e-05 1.3636e-05 1.3658e-05 1.3654e-05 1.3657e-05 1.3643e-05 1.3640e-05 1.3649e-05 1.3656e-05 1.3653e-05 1.3650e-05 1.3655e-05 1.3645e-05 1.3645e-05 1.3645e-05 1.3659e-05 1.3645e-05 1.3644e-05 1.3641e-05 1.3644e-05 1.3656e-05 1.3654e-05 1.3653e-05 1.3645e-05 1.3647e-05 1.3649e-05 1.3662e-05 1.3666e-05 1.3648e-05 1.3635e-05 1.3650e-05 1.3645e-05 1.3647e-05 1.3657e-05 1.3646e-05 1.3652e-05 1.3647e-05 1.3647e-05 2.6822e-03 2.0197e-03 1.6367e-03 1.2712e-03 1.0336e-03 8.0129e-04 6.2252e-04 4.7938e-04 3.2974e-04 2.9151e-04 2.1909e-04 1.7233e-04 1.3858e-04 1.2050e-04 9.3901e-05 7.2231e-05 5.5265e-05 4.2822e-05 3.4620e-05 2.7660e-05 1.9674e-05 1.7760e-05 1.5286e-05 1.4947e-05 1.4073e-05 1.4766e-05 1.3391e-05 1.2903e-05 1.3203e-05 1.4145e-05 1.3823e-05 1.2830e-05 1.2742e-05 1.2833e-05 1.2794e-05 1.2786e-05 1.2758e-05 1.2735e-05 1.2729e-05 1.2739e-05 1.2751e-05 1.2741e-05 1.2736e-05 1.2728e-05 1.2714e-05 1.2737e-05 1.2733e-05 1.2736e-05 1.2721e-05 1.2718e-05 1.2727e-05 1.2736e-05 1.2732e-05 1.2729e-05 1.2734e-05 1.2724e-05 1.2724e-05 1.2723e-05 1.2738e-05 1.2724e-05 1.2722e-05 1.2720e-05 1.2723e-05 1.2735e-05 1.2733e-05 1.2732e-05 1.2724e-05 1.2725e-05 1.2727e-05 1.2742e-05 1.2746e-05 1.2727e-05 1.2714e-05 1.2729e-05 1.2724e-05 1.2726e-05 1.2736e-05 1.2725e-05 1.2731e-05 1.2725e-05 1.2726e-05 2.2413e-03 2.0202e-03 1.4956e-03 1.2699e-03 8.6335e-04 7.8170e-04 6.4012e-04 4.8713e-04 3.7022e-04 2.9562e-04 2.2498e-04 1.8444e-04 1.5197e-04 1.1554e-04 8.4975e-05 6.6197e-05 5.3401e-05 3.9875e-05 3.4899e-05 2.7658e-05 2.2223e-05 1.7001e-05 1.5149e-05 1.4289e-05 1.3300e-05 1.2283e-05 1.2939e-05 1.2864e-05 1.2522e-05 1.3431e-05 1.3127e-05 1.2935e-05 1.2825e-05 1.2779e-05 1.2740e-05 1.2732e-05 1.2705e-05 1.2682e-05 1.2676e-05 1.2686e-05 1.2697e-05 1.2687e-05 1.2683e-05 1.2675e-05 1.2661e-05 1.2684e-05 1.2680e-05 1.2683e-05 1.2668e-05 1.2666e-05 1.2675e-05 1.2682e-05 1.2679e-05 1.2676e-05 1.2681e-05 1.2671e-05 1.2671e-05 1.2670e-05 1.2685e-05 1.2671e-05 1.2670e-05 1.2667e-05 1.2670e-05 1.2682e-05 1.2680e-05 1.2679e-05 1.2671e-05 1.2672e-05 1.2674e-05 1.2688e-05 1.2692e-05 1.2674e-05 1.2661e-05 1.2676e-05 1.2671e-05 1.2673e-05 1.2683e-05 1.2672e-05 1.2678e-05 1.2673e-05 1.2673e-05 2.4363e-03 2.2111e-03 1.5548e-03 1.2624e-03 9.8082e-04 8.4081e-04 6.1316e-04 4.3546e-04 3.6394e-04 2.9805e-04 2.3556e-04 1.6970e-04 1.4284e-04 1.0653e-04 9.1787e-05 6.3185e-05 5.8265e-05 4.3415e-05 3.3039e-05 2.6660e-05 2.1466e-05 1.7742e-05 1.5538e-05 1.3335e-05 1.3385e-05 1.3342e-05 1.3812e-05 1.2716e-05 1.2977e-05 1.3371e-05 1.3081e-05 1.2901e-05 1.2800e-05 1.2759e-05 1.2723e-05 1.2718e-05 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