# # # 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) 21 # 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. # 3.61282031e+03 2.84237569e+03 2.23602311e+03 1.75885445e+03 1.38338045e+03 1.08795412e+03 8.55531252e+02 6.72692536e+02 5.28873819e+02 4.15758815e+02 3.26801964e+02 2.56852109e+02 2.01856666e+02 1.58629192e+02 1.24667865e+02 9.80144856e+01 7.71468795e+01 6.08974674e+01 4.83893759e+01 3.89751819e+01 3.21596495e+01 2.75034310e+01 2.45464183e+01 2.28064091e+01 2.18466227e+01 2.13388477e+01 2.10742027e+01 2.09350605e+01 2.08600628e+01 2.08183214e+01 2.07943341e+01 2.07801716e+01 2.07716310e+01 2.07664020e+01 2.07631671e+01 2.07611517e+01 2.07598902e+01 2.07590986e+01 2.07586006e+01 2.07582869e+01 2.07580894e+01 2.07579648e+01 2.07578862e+01 2.07578366e+01 2.07578057e+01 2.07577858e+01 2.07577733e+01 2.07577653e+01 2.07577604e+01 2.07577575e+01 2.07577558e+01 2.07577541e+01 2.07577534e+01 2.07577529e+01 2.07577523e+01 2.07577525e+01 2.07577523e+01 2.07577522e+01 2.07577524e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577524e+01 2.07577520e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577522e+01 2.07577521e+01 2.07577523e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577520e+01 2.07577523e+01 2.07577521e+01 3.57833873e+03 2.81498636e+03 2.21426660e+03 1.74157274e+03 1.36965317e+03 1.07705022e+03 8.46869900e+02 6.65812619e+02 5.23408916e+02 4.11417819e+02 3.23353742e+02 2.54113024e+02 1.99680782e+02 1.56900561e+02 1.23294174e+02 9.69222235e+01 7.62771547e+01 6.02027067e+01 4.78304935e+01 3.85193876e+01 3.17789806e+01 2.71743705e+01 2.42502550e+01 2.25296565e+01 2.15805819e+01 2.10784801e+01 2.08167848e+01 2.06791947e+01 2.06050318e+01 2.05637537e+01 2.05400350e+01 2.05260300e+01 2.05175839e+01 2.05124121e+01 2.05092129e+01 2.05072198e+01 2.05059722e+01 2.05051894e+01 2.05046969e+01 2.05043867e+01 2.05041913e+01 2.05040682e+01 2.05039904e+01 2.05039414e+01 2.05039108e+01 2.05038911e+01 2.05038788e+01 2.05038708e+01 2.05038660e+01 2.05038631e+01 2.05038614e+01 2.05038597e+01 2.05038591e+01 2.05038586e+01 2.05038580e+01 2.05038582e+01 2.05038580e+01 2.05038579e+01 2.05038581e+01 2.05038577e+01 2.05038577e+01 2.05038578e+01 2.05038581e+01 2.05038576e+01 2.05038577e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038580e+01 2.05038576e+01 2.05038577e+01 2.05038577e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038577e+01 2.05038577e+01 2.05038577e+01 2.05038579e+01 2.05038577e+01 3.54385784e+03 2.78759661e+03 2.19251024e+03 1.72429108e+03 1.35592589e+03 1.06614618e+03 8.38208497e+02 6.58932661e+02 5.17943893e+02 4.07076790e+02 3.19905513e+02 2.51373946e+02 1.97504871e+02 1.55171902e+02 1.21920488e+02 9.58299573e+01 7.54074301e+01 5.95079403e+01 4.72716080e+01 3.80635873e+01 3.13983236e+01 2.68453043e+01 2.39540918e+01 2.22528958e+01 2.13145406e+01 2.08181100e+01 2.05593680e+01 2.04233278e+01 2.03499989e+01 2.03091862e+01 2.02857335e+01 2.02718855e+01 2.02635339e+01 2.02584206e+01 2.02552572e+01 2.02532850e+01 2.02520514e+01 2.02512773e+01 2.02507904e+01 2.02504836e+01 2.02502905e+01 2.02501686e+01 2.02500918e+01 2.02500433e+01 2.02500130e+01 2.02499936e+01 2.02499814e+01 2.02499735e+01 2.02499688e+01 2.02499659e+01 2.02499642e+01 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2.61871850e+01 2.33617627e+01 2.16993798e+01 2.07824564e+01 2.02973699e+01 2.00445324e+01 1.99115966e+01 1.98399346e+01 1.98000508e+01 1.97771287e+01 1.97635948e+01 1.97554326e+01 1.97504356e+01 1.97473442e+01 1.97454179e+01 1.97442122e+01 1.97434556e+01 1.97429797e+01 1.97426799e+01 1.97424911e+01 1.97423720e+01 1.97422969e+01 1.97422495e+01 1.97422199e+01 1.97422009e+01 1.97421890e+01 1.97421813e+01 1.97421767e+01 1.97421738e+01 1.97421722e+01 1.97421706e+01 1.97421700e+01 1.97421695e+01 1.97421689e+01 1.97421691e+01 1.97421689e+01 1.97421688e+01 1.97421690e+01 1.97421687e+01 1.97421686e+01 1.97421687e+01 1.97421690e+01 1.97421686e+01 1.97421687e+01 1.97421687e+01 1.97421686e+01 1.97421688e+01 1.97421687e+01 1.97421689e+01 1.97421685e+01 1.97421687e+01 1.97421686e+01 1.97421687e+01 1.97421686e+01 1.97421686e+01 1.97421687e+01 1.97421686e+01 1.97421686e+01 1.97421689e+01 1.97421687e+01 3.44041293e+03 2.70542760e+03 2.12724109e+03 1.67244607e+03 1.31474375e+03 1.03343391e+03 8.12224395e+02 6.38292753e+02 5.01549001e+02 3.94053871e+02 3.09560933e+02 2.43156726e+02 1.90977263e+02 1.49985938e+02 1.17799440e+02 9.25531700e+01 7.27982597e+01 5.74236343e+01 4.55949482e+01 3.66961909e+01 3.02563254e+01 2.58581273e+01 2.30655970e+01 2.14226224e+01 2.05164178e+01 2.00369991e+01 1.97871217e+01 1.96557318e+01 1.95849070e+01 1.95454845e+01 1.95228315e+01 1.95094540e+01 1.95013845e+01 1.94964449e+01 1.94933884e+01 1.94914844e+01 1.94902927e+01 1.94895449e+01 1.94890745e+01 1.94887781e+01 1.94885915e+01 1.94884738e+01 1.94883995e+01 1.94883527e+01 1.94883235e+01 1.94883047e+01 1.94882929e+01 1.94882853e+01 1.94882807e+01 1.94882779e+01 1.94882763e+01 1.94882747e+01 1.94882741e+01 1.94882737e+01 1.94882731e+01 1.94882732e+01 1.94882731e+01 1.94882730e+01 1.94882731e+01 1.94882728e+01 1.94882728e+01 1.94882729e+01 1.94882732e+01 1.94882727e+01 1.94882728e+01 1.94882729e+01 1.94882728e+01 1.94882729e+01 1.94882729e+01 1.94882730e+01 1.94882727e+01 1.94882728e+01 1.94882727e+01 1.94882728e+01 1.94882728e+01 1.94882727e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882730e+01 1.94882728e+01 3.40593185e+03 2.67803809e+03 2.10548508e+03 1.65516445e+03 1.30101645e+03 1.02253010e+03 8.03563029e+02 6.31412868e+02 4.96084057e+02 3.89712857e+02 3.06112702e+02 2.40417591e+02 1.88801385e+02 1.48257283e+02 1.16425744e+02 9.14609072e+01 7.19285430e+01 5.67288633e+01 4.50360622e+01 3.62403990e+01 2.98756690e+01 2.55290608e+01 2.27694372e+01 2.11458630e+01 2.02503759e+01 1.97766293e+01 1.95297036e+01 1.93998668e+01 1.93298751e+01 1.92909171e+01 1.92685294e+01 1.92553069e+01 1.92473338e+01 1.92424520e+01 1.92394318e+01 1.92375501e+01 1.92363723e+01 1.92356333e+01 1.92351683e+01 1.92348754e+01 1.92346910e+01 1.92345747e+01 1.92345013e+01 1.92344550e+01 1.92344261e+01 1.92344076e+01 1.92343959e+01 1.92343884e+01 1.92343839e+01 1.92343811e+01 1.92343795e+01 1.92343779e+01 1.92343773e+01 1.92343769e+01 1.92343763e+01 1.92343764e+01 1.92343763e+01 1.92343762e+01 1.92343764e+01 1.92343761e+01 1.92343760e+01 1.92343761e+01 1.92343764e+01 1.92343760e+01 1.92343761e+01 1.92343761e+01 1.92343760e+01 1.92343762e+01 1.92343761e+01 1.92343763e+01 1.92343759e+01 1.92343761e+01 1.92343760e+01 1.92343761e+01 1.92343760e+01 1.92343759e+01 1.92343761e+01 1.92343760e+01 1.92343760e+01 1.92343762e+01 1.92343761e+01 3.37145010e+03 2.65064852e+03 2.08372845e+03 1.63788262e+03 1.28728914e+03 1.01162610e+03 7.94901733e+02 6.24532882e+02 4.90619090e+02 3.85371889e+02 3.02664485e+02 2.37678545e+02 1.86625534e+02 1.46528626e+02 1.15052063e+02 9.03686430e+01 7.10588099e+01 5.60340949e+01 4.44771777e+01 3.57845959e+01 2.94950030e+01 2.52000046e+01 2.24732723e+01 2.08691074e+01 1.99843364e+01 1.95162611e+01 1.92722868e+01 1.91440012e+01 1.90748455e+01 1.90363480e+01 1.90142261e+01 1.90011630e+01 1.89932844e+01 1.89884606e+01 1.89854761e+01 1.89836168e+01 1.89824529e+01 1.89817226e+01 1.89812632e+01 1.89809738e+01 1.89807915e+01 1.89806766e+01 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1.88881347e+01 1.88198150e+01 1.87817838e+01 1.87599278e+01 1.87470193e+01 1.87392353e+01 1.87344693e+01 1.87315207e+01 1.87296836e+01 1.87285337e+01 1.87278121e+01 1.87273582e+01 1.87270722e+01 1.87268922e+01 1.87267786e+01 1.87267070e+01 1.87266618e+01 1.87266336e+01 1.87266155e+01 1.87266041e+01 1.87265968e+01 1.87265923e+01 1.87265896e+01 1.87265881e+01 1.87265865e+01 1.87265859e+01 1.87265855e+01 1.87265849e+01 1.87265851e+01 1.87265850e+01 1.87265849e+01 1.87265850e+01 1.87265847e+01 1.87265847e+01 1.87265847e+01 1.87265850e+01 1.87265846e+01 1.87265847e+01 1.87265848e+01 1.87265847e+01 1.87265848e+01 1.87265848e+01 1.87265849e+01 1.87265846e+01 1.87265847e+01 1.87265846e+01 1.87265847e+01 1.87265847e+01 1.87265846e+01 1.87265847e+01 1.87265847e+01 1.87265847e+01 1.87265849e+01 1.87265847e+01 3.30248728e+03 2.59586929e+03 2.04021587e+03 1.60331934e+03 1.25983449e+03 9.89818062e+02 7.77578978e+02 6.10772898e+02 4.79689187e+02 3.76689814e+02 2.95768089e+02 2.32200353e+02 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2.10539086e+01 9.23021369e+00 4.27286157e+00 2.16451508e+00 1.26517277e+00 8.95741241e-01 7.68307412e-01 7.55706380e-01 7.97661201e-01 3.99926377e+25 3.01394743e+25 2.26476550e+25 1.69626550e+25 1.26581778e+25 9.40685077e+24 6.95757309e+24 5.11799719e+24 3.74098027e+24 2.71413490e+24 1.95176557e+24 1.38864908e+24 9.75251369e+23 6.74040188e+23 4.56651070e+23 3.01700923e+23 1.93099979e+23 1.18738452e+23 6.94588697e+22 3.82525474e+22 1.96602803e+22 9.39624659e+21 4.19515146e+21 1.77226111e+21 7.20772977e+20 2.86945731e+20 1.13242955e+20 4.46443602e+19 1.76442628e+19 6.99626439e+18 2.78149820e+18 1.10757393e+18 4.41306762e+17 1.75846024e+17 7.00559349e+16 2.79037461e+16 1.11123177e+16 4.42481563e+15 1.76178293e+15 7.01436740e+14 2.79261652e+14 1.11179749e+14 4.42623818e+13 1.76214050e+13 7.01526696e+12 2.79284322e+12 1.11185492e+12 4.42638541e+11 1.76217939e+11 7.01537655e+10 2.79287836e+10 1.11186849e+10 4.42644962e+09 1.76221449e+09 7.01558425e+08 2.79300603e+08 1.11194822e+08 4.42695044e+07 1.76252993e+07 7.01757282e+06 2.79426005e+06 1.11273911e+06 4.43193812e+05 1.76567465e+05 7.03739526e+04 2.80674982e+04 1.12060449e+04 4.48143647e+03 1.79679993e+03 7.23295312e+02 2.92954799e+02 1.19774327e+02 4.96735255e+01 2.10539087e+01 9.23021368e+00 4.27286155e+00 2.16451509e+00 1.26517277e+00 8.95741241e-01 7.68307420e-01 7.55706373e-01 1.00456964e+26 7.57069365e+25 5.68883374e+25 4.26082629e+25 3.17959050e+25 2.36289408e+25 1.74766334e+25 1.28558277e+25 9.39691758e+24 6.81759862e+24 4.90261344e+24 3.48812878e+24 2.44972068e+24 1.69311240e+24 1.14705563e+24 7.57838454e+23 4.85045216e+23 2.98257506e+23 1.74472792e+23 9.60860549e+22 4.93843914e+22 2.36023043e+22 1.05377440e+22 4.45171863e+21 1.81049986e+21 7.20775088e+20 2.84453441e+20 1.12141563e+20 4.43203842e+19 1.75738216e+19 6.98680759e+18 2.78209992e+18 1.10851247e+18 4.41705243e+17 1.75972552e+17 7.00910411e+16 2.79128801e+16 1.11146343e+16 4.42539862e+15 1.76192941e+15 7.01473542e+14 2.79270896e+14 1.11182071e+14 4.42629650e+13 1.76215518e+13 7.01530370e+12 2.79285247e+12 1.11185723e+12 4.42639125e+11 1.76218087e+11 7.01538033e+10 2.79287922e+10 1.11186873e+10 4.42645021e+09 1.76221461e+09 7.01558474e+08 2.79300612e+08 1.11194824e+08 4.42695054e+07 1.76252992e+07 7.01757286e+06 2.79426007e+06 1.11273913e+06 4.43193803e+05 1.76567466e+05 7.03739529e+04 2.80674980e+04 1.12060450e+04 4.48143647e+03 1.79679994e+03 7.23295298e+02 2.92954802e+02 1.19774326e+02 4.96735257e+01 2.10539087e+01 9.23021364e+00 4.27286158e+00 2.16451508e+00 1.26517277e+00 8.95741251e-01 7.68307413e-01 2.52336485e+26 1.90167227e+26 1.42897043e+26 1.07027117e+26 7.98677023e+25 5.93532158e+25 4.38993184e+25 3.22923792e+25 2.36039898e+25 1.71250335e+25 1.23148082e+25 8.76178337e+24 6.15342014e+24 4.25290607e+24 2.88127347e+24 1.90360413e+24 1.21837850e+24 7.49188982e+23 4.38255840e+23 2.41357258e+23 1.24047983e+23 5.92863080e+22 2.64696163e+22 1.11822116e+22 4.54777003e+21 1.81050516e+21 7.14514740e+20 2.81686870e+20 1.11327772e+20 4.41434440e+19 1.75500672e+19 6.98831905e+18 2.78445742e+18 1.10951340e+18 4.42023065e+17 1.76060735e+17 7.01139846e+16 2.79186990e+16 1.11160987e+16 4.42576654e+15 1.76202185e+15 7.01496761e+14 2.79276728e+14 1.11183536e+14 4.42633337e+13 1.76216441e+13 7.01532692e+12 2.79285827e+12 1.11185870e+12 4.42639497e+11 1.76218182e+11 7.01538249e+10 2.79287982e+10 1.11186888e+10 4.42645050e+09 1.76221473e+09 7.01558497e+08 2.79300618e+08 1.11194827e+08 4.42695051e+07 1.76252992e+07 7.01757291e+06 2.79426012e+06 1.11273911e+06 4.43193806e+05 1.76567467e+05 7.03739525e+04 2.80674982e+04 1.12060450e+04 4.48143650e+03 1.79679991e+03 7.23295304e+02 2.92954800e+02 1.19774327e+02 4.96735256e+01 2.10539086e+01 9.23021369e+00 4.27286157e+00 2.16451509e+00 1.26517279e+00 8.95741243e-01 6.33840593e+26 4.77678476e+26 3.58941143e+26 2.68839964e+26 2.00618598e+26 1.49088537e+26 1.10270102e+26 8.11147890e+25 5.92905416e+25 4.30161392e+25 3.09333996e+25 2.20086048e+25 1.54566926e+25 1.06828171e+25 7.23743173e+24 4.78163739e+24 3.06042841e+24 1.88187764e+24 1.10084890e+24 6.06262020e+23 3.11594445e+23 1.48920473e+23 6.64886700e+22 2.80884457e+22 1.14234818e+22 4.54778336e+21 1.79477988e+21 7.07565426e+20 2.79642719e+20 1.10883318e+20 4.40837756e+19 1.75538638e+19 6.99424082e+18 2.78697167e+18 1.11031174e+18 4.42244571e+17 1.76118366e+17 7.01286010e+16 2.79223774e+16 1.11170229e+16 4.42599875e+15 1.76208018e+15 7.01511410e+14 2.79280407e+14 1.11184462e+14 4.42635656e+13 1.76217025e+13 7.01534151e+12 2.79286196e+12 1.11185963e+12 4.42639735e+11 1.76218236e+11 7.01538400e+10 2.79288019e+10 1.11186895e+10 4.42645082e+09 1.76221479e+09 7.01558511e+08 2.79300624e+08 1.11194826e+08 4.42695053e+07 1.76252994e+07 7.01757303e+06 2.79426006e+06 1.11273912e+06 4.43193807e+05 1.76567466e+05 7.03739530e+04 2.80674982e+04 1.12060451e+04 4.48143642e+03 1.79679992e+03 7.23295301e+02 2.92954802e+02 1.19774326e+02 4.96735254e+01 2.10539087e+01 9.23021367e+00 4.27286157e+00 2.16451511e+00 1.26517277e+00 1.59213559e+27 1.19987408e+27 9.01619386e+26 6.75295458e+26 5.03931134e+26 3.74493474e+26 2.76985974e+26 2.03751138e+26 1.48931107e+26 1.08051656e+26 7.77011867e+25 5.52831157e+25 3.88254563e+25 2.68340232e+25 1.81796066e+25 1.20109301e+25 7.68744861e+24 4.72706290e+24 2.76520741e+24 1.52286134e+24 7.82689858e+23 3.74071314e+23 1.67011988e+23 7.05549856e+22 2.86944890e+22 1.14235153e+22 4.50828323e+21 1.77732399e+21 7.02430752e+20 2.78526302e+20 1.10733438e+20 4.40933123e+19 1.75687386e+19 7.00055631e+18 2.78897699e+18 1.11086814e+18 4.42389334e+17 1.76155081e+17 7.01378408e+16 2.79246988e+16 1.11176061e+16 4.42614525e+15 1.76211697e+15 7.01520653e+14 2.79282734e+14 1.11185045e+14 4.42637121e+13 1.76217391e+13 7.01535077e+12 2.79286431e+12 1.11186023e+12 4.42639872e+11 1.76218274e+11 7.01538493e+10 2.79288038e+10 1.11186903e+10 4.42645096e+09 1.76221482e+09 7.01558526e+08 2.79300622e+08 1.11194827e+08 4.42695056e+07 1.76252997e+07 7.01757289e+06 2.79426007e+06 1.11273912e+06 4.43193805e+05 1.76567467e+05 7.03739529e+04 2.80674984e+04 1.12060449e+04 4.48143646e+03 1.79679991e+03 7.23295304e+02 2.92954801e+02 1.19774326e+02 4.96735257e+01 2.10539087e+01 9.23021368e+00 4.27286162e+00 2.16451509e+00 3.99926377e+27 3.01394743e+27 2.26476550e+27 1.69626550e+27 1.26581778e+27 9.40685077e+26 6.95757309e+26 5.11799719e+26 3.74098027e+26 2.71413490e+26 1.95176557e+26 1.38864908e+26 9.75251369e+25 6.74040188e+25 4.56651070e+25 3.01700923e+25 1.93099979e+25 1.18738452e+25 6.94588697e+24 3.82525474e+24 1.96602803e+24 9.39624659e+23 4.19515146e+23 1.77226111e+23 7.20772977e+22 2.86945731e+22 1.13242955e+22 4.46443602e+21 1.76442628e+21 6.99626439e+20 2.78149820e+20 1.10757393e+20 4.41306762e+19 1.75846024e+19 7.00559347e+18 2.79037460e+18 1.11123177e+18 4.42481558e+17 1.76178290e+17 7.01436720e+16 2.79261639e+16 1.11179742e+16 4.42623768e+15 1.76214019e+15 7.01526497e+14 2.79284197e+14 1.11185413e+14 4.42638041e+13 1.76217624e+13 7.01535666e+12 2.79286581e+12 1.11186057e+12 4.42639967e+11 1.76218297e+11 7.01538541e+10 2.79288058e+10 1.11186907e+10 4.42645105e+09 1.76221486e+09 7.01558522e+08 2.79300624e+08 1.11194827e+08 4.42695064e+07 1.76252993e+07 7.01757293e+06 2.79426009e+06 1.11273912e+06 4.43193808e+05 1.76567467e+05 7.03739535e+04 2.80674979e+04 1.12060450e+04 4.48143644e+03 1.79679992e+03 7.23295303e+02 2.92954800e+02 1.19774327e+02 4.96735256e+01 2.10539087e+01 9.23021378e+00 4.27286158e+00 1.00456964e+28 7.57069365e+27 5.68883374e+27 4.26082629e+27 3.17959050e+27 2.36289408e+27 1.74766334e+27 1.28558277e+27 9.39691758e+26 6.81759862e+26 4.90261344e+26 3.48812878e+26 2.44972068e+26 1.69311240e+26 1.14705563e+26 7.57838454e+25 4.85045216e+25 2.98257506e+25 1.74472792e+25 9.60860549e+24 4.93843914e+24 2.36023043e+24 1.05377440e+24 4.45171863e+23 1.81049986e+23 7.20775088e+22 2.84453441e+22 1.12141563e+22 4.43203842e+21 1.75738216e+21 6.98680759e+20 2.78209992e+20 1.10851247e+20 4.41705242e+19 1.75972552e+19 7.00910409e+18 2.79128799e+18 1.11146342e+18 4.42539857e+17 1.76192938e+17 7.01473522e+16 2.79270883e+16 1.11182063e+16 4.42629600e+15 1.76215487e+15 7.01530172e+14 2.79285121e+14 1.11185644e+14 4.42638626e+13 1.76217772e+13 7.01536044e+12 2.79286667e+12 1.11186081e+12 4.42640026e+11 1.76218309e+11 7.01538590e+10 2.79288067e+10 1.11186909e+10 4.42645115e+09 1.76221485e+09 7.01558526e+08 2.79300626e+08 1.11194829e+08 4.42695055e+07 1.76252994e+07 7.01757296e+06 2.79426007e+06 1.11273912e+06 4.43193808e+05 1.76567468e+05 7.03739521e+04 2.80674981e+04 1.12060449e+04 4.48143645e+03 1.79679992e+03 7.23295300e+02 2.92954802e+02 1.19774326e+02 4.96735256e+01 2.10539089e+01 9.23021369e+00 2.52336485e+28 1.90167227e+28 1.42897043e+28 1.07027117e+28 7.98677023e+27 5.93532158e+27 4.38993184e+27 3.22923792e+27 2.36039898e+27 1.71250335e+27 1.23148082e+27 8.76178337e+26 6.15342014e+26 4.25290607e+26 2.88127347e+26 1.90360413e+26 1.21837850e+26 7.49188982e+25 4.38255840e+25 2.41357258e+25 1.24047983e+25 5.92863080e+24 2.64696163e+24 1.11822116e+24 4.54777003e+23 1.81050516e+23 7.14514739e+22 2.81686870e+22 1.11327772e+22 4.41434440e+21 1.75500672e+21 6.98831905e+20 2.78445742e+20 1.10951340e+20 4.42023065e+19 1.76060735e+19 7.01139844e+18 2.79186988e+18 1.11160986e+18 4.42576649e+17 1.76202182e+17 7.01496741e+16 2.79276715e+16 1.11183528e+16 4.42633287e+15 1.76216410e+15 7.01532493e+14 2.79285702e+14 1.11185791e+14 4.42638997e+13 1.76217867e+13 7.01536261e+12 2.79286727e+12 1.11186096e+12 4.42640056e+11 1.76218322e+11 7.01538613e+10 2.79288072e+10 1.11186911e+10 4.42645112e+09 1.76221486e+09 7.01558531e+08 2.79300631e+08 1.11194827e+08 4.42695058e+07 1.76252995e+07 7.01757292e+06 2.79426009e+06 1.11273912e+06 4.43193811e+05 1.76567465e+05 7.03739527e+04 2.80674980e+04 1.12060450e+04 4.48143645e+03 1.79679991e+03 7.23295304e+02 2.92954801e+02 1.19774326e+02 4.96735262e+01 2.10539087e+01 # # uncertainties in the thermally averaged relativistic Gaunt factors 2.6183e-03 1.9557e-03 1.3681e-03 1.2933e-03 9.4642e-04 7.7886e-04 5.6453e-04 5.1101e-04 3.6784e-04 2.9857e-04 2.2344e-04 1.8380e-04 1.3968e-04 1.1562e-04 8.8952e-05 6.4034e-05 5.5437e-05 4.4341e-05 3.7379e-05 2.8800e-05 2.1524e-05 1.8965e-05 1.6950e-05 1.7061e-05 1.5569e-05 1.6011e-05 1.4733e-05 1.4646e-05 1.5009e-05 1.4912e-05 1.6122e-05 1.5745e-05 1.5633e-05 1.5558e-05 1.5530e-05 1.5505e-05 1.5495e-05 1.5478e-05 1.5472e-05 1.5476e-05 1.5469e-05 1.5468e-05 1.5457e-05 1.5458e-05 1.5469e-05 1.5468e-05 1.5466e-05 1.5458e-05 1.5458e-05 1.5466e-05 1.5482e-05 1.5459e-05 1.5465e-05 1.5454e-05 1.5446e-05 1.5469e-05 1.5469e-05 1.5469e-05 1.5468e-05 1.5450e-05 1.5460e-05 1.5459e-05 1.5483e-05 1.5461e-05 1.5454e-05 1.5457e-05 1.5459e-05 1.5472e-05 1.5471e-05 1.5470e-05 1.5454e-05 1.5460e-05 1.5455e-05 1.5468e-05 1.5467e-05 1.5464e-05 1.5455e-05 1.5458e-05 1.5460e-05 1.5468e-05 1.5464e-05 2.5409e-03 1.8430e-03 1.5149e-03 1.2463e-03 9.7734e-04 6.8231e-04 5.7958e-04 4.3687e-04 3.5386e-04 2.9221e-04 2.2283e-04 1.7472e-04 1.4708e-04 9.8495e-05 8.6084e-05 6.7835e-05 5.5063e-05 4.1009e-05 3.2412e-05 2.4676e-05 2.5079e-05 1.8790e-05 1.6835e-05 1.4995e-05 1.5629e-05 1.4809e-05 1.6127e-05 1.4931e-05 1.4990e-05 1.5073e-05 1.4841e-05 1.4728e-05 1.4637e-05 1.5184e-05 1.5149e-05 1.5121e-05 1.5109e-05 1.5091e-05 1.5084e-05 1.5087e-05 1.5080e-05 1.5078e-05 1.5067e-05 1.5068e-05 1.5079e-05 1.5078e-05 1.5076e-05 1.5068e-05 1.5068e-05 1.5076e-05 1.5092e-05 1.5069e-05 1.5075e-05 1.5064e-05 1.5056e-05 1.5079e-05 1.5079e-05 1.5079e-05 1.5078e-05 1.5060e-05 1.5070e-05 1.5069e-05 1.5093e-05 1.5071e-05 1.5064e-05 1.5067e-05 1.5069e-05 1.5082e-05 1.5081e-05 1.5080e-05 1.5064e-05 1.5070e-05 1.5065e-05 1.5078e-05 1.5076e-05 1.5074e-05 1.5065e-05 1.5068e-05 1.5070e-05 1.5078e-05 1.5074e-05 2.3947e-03 1.8914e-03 1.5107e-03 1.1895e-03 8.9383e-04 6.7022e-04 5.9698e-04 4.6351e-04 3.7348e-04 2.8954e-04 2.3654e-04 1.7258e-04 1.4189e-04 1.1094e-04 8.5410e-05 6.9127e-05 5.3310e-05 4.0158e-05 3.2264e-05 2.6418e-05 2.0039e-05 1.9566e-05 1.6924e-05 1.5983e-05 1.5629e-05 1.5218e-05 1.5454e-05 1.5200e-05 1.5662e-05 1.4827e-05 1.4643e-05 1.4560e-05 1.4490e-05 1.4441e-05 1.4428e-05 1.4966e-05 1.4955e-05 1.4938e-05 1.4932e-05 1.4935e-05 1.4928e-05 1.4927e-05 1.4916e-05 1.4917e-05 1.4928e-05 1.4927e-05 1.4925e-05 1.4917e-05 1.4917e-05 1.4925e-05 1.4941e-05 1.4918e-05 1.4925e-05 1.4913e-05 1.4905e-05 1.4928e-05 1.4928e-05 1.4928e-05 1.4927e-05 1.4909e-05 1.4919e-05 1.4918e-05 1.4942e-05 1.4920e-05 1.4914e-05 1.4917e-05 1.4918e-05 1.4931e-05 1.4930e-05 1.4929e-05 1.4914e-05 1.4919e-05 1.4915e-05 1.4928e-05 1.4926e-05 1.4923e-05 1.4915e-05 1.4917e-05 1.4919e-05 1.4927e-05 1.4923e-05 2.5315e-03 1.8892e-03 1.6044e-03 1.1712e-03 9.6300e-04 7.5614e-04 6.0549e-04 4.6029e-04 3.3501e-04 2.7207e-04 1.9380e-04 1.7232e-04 1.2016e-04 1.1280e-04 8.2235e-05 7.1258e-05 5.1798e-05 4.2446e-05 3.2680e-05 2.8339e-05 2.2378e-05 1.8963e-05 1.5584e-05 1.6022e-05 1.4957e-05 1.4750e-05 1.5489e-05 1.5217e-05 1.5013e-05 1.4668e-05 1.3872e-05 1.3753e-05 1.3659e-05 1.3594e-05 1.3573e-05 1.5000e-05 1.4986e-05 1.4967e-05 1.4960e-05 1.4963e-05 1.4956e-05 1.4954e-05 1.4944e-05 1.4944e-05 1.4955e-05 1.4953e-05 1.4952e-05 1.4944e-05 1.4944e-05 1.4951e-05 1.4967e-05 1.4945e-05 1.4951e-05 1.4940e-05 1.4932e-05 1.4955e-05 1.4954e-05 1.4955e-05 1.4953e-05 1.4936e-05 1.4946e-05 1.4945e-05 1.4968e-05 1.4947e-05 1.4940e-05 1.4943e-05 1.4945e-05 1.4958e-05 1.4957e-05 1.4955e-05 1.4941e-05 1.4946e-05 1.4941e-05 1.4954e-05 1.4952e-05 1.4950e-05 1.4942e-05 1.4944e-05 1.4946e-05 1.4953e-05 1.4950e-05 2.2788e-03 1.8442e-03 1.3144e-03 1.1828e-03 9.1711e-04 6.9129e-04 5.0462e-04 4.5048e-04 3.5392e-04 2.9103e-04 2.2318e-04 1.7385e-04 1.3987e-04 1.0899e-04 8.5211e-05 6.5454e-05 5.2035e-05 3.6417e-05 3.2847e-05 2.7211e-05 2.1348e-05 1.9812e-05 1.6064e-05 1.5654e-05 1.5658e-05 1.4533e-05 1.5348e-05 1.4996e-05 1.5410e-05 1.5018e-05 1.5372e-05 1.5217e-05 1.5105e-05 1.5388e-05 1.5289e-05 1.5268e-05 1.5259e-05 1.5244e-05 1.5239e-05 1.5243e-05 1.5237e-05 1.5235e-05 1.5226e-05 1.5227e-05 1.5237e-05 1.5236e-05 1.5234e-05 1.5227e-05 1.5227e-05 1.5234e-05 1.5249e-05 1.5228e-05 1.5234e-05 1.5223e-05 1.5216e-05 1.5237e-05 1.5237e-05 1.5237e-05 1.5236e-05 1.5220e-05 1.5229e-05 1.5228e-05 1.5250e-05 1.5230e-05 1.5223e-05 1.5226e-05 1.5227e-05 1.5240e-05 1.5239e-05 1.5237e-05 1.5224e-05 1.5228e-05 1.5224e-05 1.5236e-05 1.5235e-05 1.5232e-05 1.5225e-05 1.5227e-05 1.5229e-05 1.5236e-05 1.5232e-05 2.5518e-03 1.9539e-03 1.5164e-03 1.1827e-03 9.4725e-04 7.4478e-04 6.1085e-04 4.6597e-04 3.6028e-04 2.4093e-04 2.0973e-04 1.4995e-04 1.3399e-04 1.0067e-04 7.8173e-05 6.6162e-05 5.1733e-05 4.0176e-05 3.3327e-05 2.6568e-05 2.2872e-05 1.8049e-05 1.6286e-05 1.4370e-05 1.5605e-05 1.3826e-05 1.3626e-05 1.4504e-05 1.3693e-05 1.3729e-05 1.3755e-05 1.3933e-05 1.3859e-05 1.3809e-05 1.4215e-05 1.4198e-05 1.4193e-05 1.4179e-05 1.4175e-05 1.4180e-05 1.4174e-05 1.4173e-05 1.4163e-05 1.4164e-05 1.4175e-05 1.4174e-05 1.4172e-05 1.4165e-05 1.4164e-05 1.4172e-05 1.4188e-05 1.4166e-05 1.4172e-05 1.4160e-05 1.4153e-05 1.4175e-05 1.4175e-05 1.4175e-05 1.4174e-05 1.4157e-05 1.4166e-05 1.4166e-05 1.4188e-05 1.4168e-05 1.4161e-05 1.4164e-05 1.4165e-05 1.4178e-05 1.4177e-05 1.4176e-05 1.4161e-05 1.4166e-05 1.4162e-05 1.4175e-05 1.4173e-05 1.4170e-05 1.4162e-05 1.4164e-05 1.4167e-05 1.4174e-05 1.4170e-05 2.4250e-03 1.8161e-03 1.4250e-03 1.1802e-03 9.0320e-04 6.8600e-04 5.9268e-04 3.8889e-04 3.4628e-04 2.6867e-04 2.3553e-04 1.7178e-04 1.3358e-04 1.0463e-04 8.6168e-05 6.5414e-05 4.7997e-05 4.0537e-05 3.2520e-05 2.2212e-05 1.9855e-05 1.8597e-05 1.5837e-05 1.5864e-05 1.5830e-05 1.4297e-05 1.4047e-05 1.3779e-05 1.4972e-05 1.4168e-05 1.3583e-05 1.4860e-05 1.4732e-05 1.4649e-05 1.4613e-05 1.4585e-05 1.4572e-05 1.4554e-05 1.4548e-05 1.4550e-05 1.4543e-05 1.4541e-05 1.4532e-05 1.4532e-05 1.4542e-05 1.4541e-05 1.4539e-05 1.4532e-05 1.4532e-05 1.4539e-05 1.4554e-05 1.4533e-05 1.4539e-05 1.4528e-05 1.4521e-05 1.4542e-05 1.4542e-05 1.4543e-05 1.4541e-05 1.4525e-05 1.4534e-05 1.4533e-05 1.4555e-05 1.4535e-05 1.4529e-05 1.4532e-05 1.4533e-05 1.4545e-05 1.4544e-05 1.4543e-05 1.4529e-05 1.4534e-05 1.4530e-05 1.4542e-05 1.4540e-05 1.4538e-05 1.4530e-05 1.4532e-05 1.4534e-05 1.4541e-05 1.4538e-05 2.3518e-03 1.8078e-03 1.5233e-03 1.1704e-03 9.0981e-04 7.0540e-04 5.8705e-04 4.4838e-04 3.5838e-04 2.7555e-04 2.1550e-04 1.6148e-04 1.1548e-04 1.0223e-04 8.0354e-05 6.5036e-05 4.7353e-05 4.0738e-05 3.1121e-05 2.3585e-05 2.0638e-05 1.8567e-05 1.6323e-05 1.4648e-05 1.4638e-05 1.3612e-05 1.4874e-05 1.3992e-05 1.4156e-05 1.4696e-05 1.4371e-05 1.4205e-05 1.4086e-05 1.4009e-05 1.3977e-05 1.3951e-05 1.3940e-05 1.3923e-05 1.3917e-05 1.3920e-05 1.3913e-05 1.3912e-05 1.3902e-05 1.3902e-05 1.3913e-05 1.3912e-05 1.3910e-05 1.3903e-05 1.3902e-05 1.3910e-05 1.3925e-05 1.3903e-05 1.3909e-05 1.3899e-05 1.3891e-05 1.3913e-05 1.3912e-05 1.3913e-05 1.3912e-05 1.3895e-05 1.3904e-05 1.3904e-05 1.3925e-05 1.3906e-05 1.3899e-05 1.3902e-05 1.3903e-05 1.3916e-05 1.3915e-05 1.3913e-05 1.3899e-05 1.3904e-05 1.3900e-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 2.4307e-03 1.8733e-03 1.4731e-03 1.1408e-03 7.8653e-04 6.9724e-04 5.3997e-04 4.2555e-04 3.3069e-04 2.6624e-04 1.9637e-04 1.6050e-04 1.3363e-04 1.0271e-04 7.9416e-05 6.4112e-05 5.0034e-05 3.8720e-05 2.8237e-05 2.3127e-05 2.1330e-05 1.6381e-05 1.5638e-05 1.5007e-05 1.3991e-05 1.3585e-05 1.4136e-05 1.3862e-05 1.3711e-05 1.3425e-05 1.3272e-05 1.4097e-05 1.4449e-05 1.4363e-05 1.4325e-05 1.4295e-05 1.4281e-05 1.4263e-05 1.4256e-05 1.4258e-05 1.4251e-05 1.4249e-05 1.4239e-05 1.4240e-05 1.4250e-05 1.4248e-05 1.4247e-05 1.4240e-05 1.4240e-05 1.4246e-05 1.4261e-05 1.4241e-05 1.4246e-05 1.4236e-05 1.4229e-05 1.4249e-05 1.4249e-05 1.4250e-05 1.4248e-05 1.4233e-05 1.4241e-05 1.4241e-05 1.4261e-05 1.4243e-05 1.4236e-05 1.4239e-05 1.4240e-05 1.4252e-05 1.4251e-05 1.4250e-05 1.4236e-05 1.4241e-05 1.4237e-05 1.4249e-05 1.4247e-05 1.4245e-05 1.4237e-05 1.4240e-05 1.4242e-05 1.4248e-05 1.4245e-05 2.2524e-03 1.9359e-03 1.3953e-03 1.1256e-03 8.8034e-04 7.0239e-04 5.6487e-04 4.3799e-04 3.3579e-04 2.9420e-04 2.1202e-04 1.6546e-04 1.2702e-04 1.0334e-04 7.8467e-05 5.8989e-05 4.5878e-05 3.9237e-05 3.3020e-05 2.5694e-05 2.1424e-05 1.6902e-05 1.5142e-05 1.4178e-05 1.3627e-05 1.3347e-05 1.3889e-05 1.3562e-05 1.2272e-05 1.3255e-05 1.4241e-05 1.3938e-05 1.3836e-05 1.3768e-05 1.3742e-05 1.3720e-05 1.3710e-05 1.3695e-05 1.3690e-05 1.3693e-05 1.3687e-05 1.3685e-05 1.3676e-05 1.3676e-05 1.3687e-05 1.3685e-05 1.3684e-05 1.3677e-05 1.3677e-05 1.3684e-05 1.3698e-05 1.3678e-05 1.3683e-05 1.3673e-05 1.3666e-05 1.3687e-05 1.3686e-05 1.3687e-05 1.3686e-05 1.3670e-05 1.3678e-05 1.3678e-05 1.3699e-05 1.3680e-05 1.3673e-05 1.3676e-05 1.3677e-05 1.3689e-05 1.3688e-05 1.3687e-05 1.3673e-05 1.3678e-05 1.3674e-05 1.3686e-05 1.3684e-05 1.3682e-05 1.3674e-05 1.3677e-05 1.3679e-05 1.3685e-05 1.3682e-05 2.3460e-03 1.8794e-03 1.4445e-03 1.1224e-03 8.7239e-04 7.0176e-04 5.3654e-04 4.0641e-04 3.4075e-04 2.6667e-04 2.0472e-04 1.5883e-04 1.3066e-04 8.8487e-05 7.4303e-05 6.0142e-05 4.9346e-05 3.8798e-05 2.8747e-05 2.2033e-05 2.0907e-05 1.6686e-05 1.5303e-05 1.4544e-05 1.3838e-05 1.3127e-05 1.2921e-05 1.3266e-05 1.3762e-05 1.3856e-05 1.3661e-05 1.3569e-05 1.3814e-05 1.3744e-05 1.3715e-05 1.3691e-05 1.3681e-05 1.3665e-05 1.3659e-05 1.3662e-05 1.3656e-05 1.3655e-05 1.3645e-05 1.3646e-05 1.3656e-05 1.3655e-05 1.3653e-05 1.3646e-05 1.3646e-05 1.3653e-05 1.3667e-05 1.3647e-05 1.3652e-05 1.3642e-05 1.3635e-05 1.3656e-05 1.3655e-05 1.3656e-05 1.3655e-05 1.3639e-05 1.3648e-05 1.3647e-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 1.3644e-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 2.2124e-03 1.6834e-03 1.3976e-03 9.9519e-04 8.4235e-04 6.3358e-04 5.5225e-04 3.9024e-04 3.5370e-04 2.6326e-04 2.1237e-04 1.5407e-04 1.2654e-04 1.0433e-04 7.9453e-05 5.6541e-05 4.7202e-05 3.6216e-05 2.8609e-05 2.3476e-05 1.8792e-05 1.6604e-05 1.4982e-05 1.3575e-05 1.4448e-05 1.4407e-05 1.3651e-05 1.3436e-05 1.4348e-05 1.3917e-05 1.2878e-05 1.2798e-05 1.2858e-05 1.2800e-05 1.2780e-05 1.2762e-05 1.2754e-05 1.2741e-05 1.2736e-05 1.2740e-05 1.2734e-05 1.2733e-05 1.2724e-05 1.2724e-05 1.2735e-05 1.2734e-05 1.2732e-05 1.2725e-05 1.2725e-05 1.2732e-05 1.2747e-05 1.2726e-05 1.2731e-05 1.2721e-05 1.2713e-05 1.2735e-05 1.2734e-05 1.2735e-05 1.2734e-05 1.2718e-05 1.2726e-05 1.2726e-05 1.2747e-05 1.2728e-05 1.2721e-05 1.2724e-05 1.2725e-05 1.2738e-05 1.2737e-05 1.2735e-05 1.2722e-05 1.2726e-05 1.2722e-05 1.2734e-05 1.2732e-05 1.2730e-05 1.2722e-05 1.2725e-05 1.2727e-05 1.2733e-05 1.2730e-05 2.2045e-03 1.7315e-03 1.4419e-03 1.1148e-03 8.6689e-04 6.7441e-04 5.4332e-04 4.2019e-04 3.1207e-04 2.5869e-04 1.8500e-04 1.6012e-04 1.2021e-04 1.0118e-04 6.7537e-05 6.3731e-05 4.8397e-05 3.7750e-05 2.8947e-05 2.5006e-05 1.9747e-05 1.6820e-05 1.4475e-05 1.3655e-05 1.2881e-05 1.2852e-05 1.3137e-05 1.3306e-05 1.3618e-05 1.3216e-05 1.2997e-05 1.2888e-05 1.2803e-05 1.2746e-05 1.2726e-05 1.2708e-05 1.2701e-05 1.2687e-05 1.2683e-05 1.2687e-05 1.2681e-05 1.2680e-05 1.2671e-05 1.2671e-05 1.2682e-05 1.2680e-05 1.2679e-05 1.2672e-05 1.2672e-05 1.2679e-05 1.2693e-05 1.2673e-05 1.2678e-05 1.2668e-05 1.2661e-05 1.2682e-05 1.2681e-05 1.2682e-05 1.2681e-05 1.2665e-05 1.2674e-05 1.2673e-05 1.2694e-05 1.2675e-05 1.2669e-05 1.2671e-05 1.2672e-05 1.2684e-05 1.2684e-05 1.2682e-05 1.2669e-05 1.2673e-05 1.2670e-05 1.2681e-05 1.2679e-05 1.2677e-05 1.2670e-05 1.2672e-05 1.2674e-05 1.2680e-05 1.2677e-05 2.2757e-03 1.7024e-03 1.3995e-03 1.1507e-03 8.3497e-04 6.7542e-04 4.8948e-04 3.9513e-04 3.3427e-04 2.7153e-04 2.0026e-04 1.6295e-04 1.1811e-04 9.7314e-05 8.1331e-05 5.5080e-05 4.7503e-05 3.4622e-05 2.9205e-05 2.4079e-05 1.8820e-05 1.7359e-05 1.4183e-05 1.3256e-05 1.3714e-05 1.3529e-05 1.1945e-05 1.3203e-05 1.3084e-05 1.3165e-05 1.2958e-05 1.2858e-05 1.2781e-05 1.2729e-05 1.2712e-05 1.2695e-05 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