# # # 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) 36 # 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. # 6.33177521e+03 4.98255483e+03 3.92048737e+03 3.08452791e+03 2.42659511e+03 1.90882033e+03 1.50138178e+03 1.18079559e+03 9.28570924e+02 7.30148348e+02 5.74066434e+02 4.51301984e+02 3.54753016e+02 2.78830002e+02 2.19134792e+02 1.72208539e+02 1.35333732e+02 1.06380537e+02 8.36884616e+01 6.59768966e+01 5.22765198e+01 4.18692129e+01 3.42180656e+01 2.88755936e+01 2.53934783e+01 2.32917280e+01 2.21091151e+01 2.14763775e+01 2.11458841e+01 2.09730321e+01 2.08807660e+01 2.08299864e+01 2.08011106e+01 2.07842084e+01 2.07740808e+01 2.07679086e+01 2.07641020e+01 2.07617351e+01 2.07602559e+01 2.07593283e+01 2.07587451e+01 2.07583780e+01 2.07581468e+01 2.07580010e+01 2.07579090e+01 2.07578511e+01 2.07578146e+01 2.07577914e+01 2.07577769e+01 2.07577678e+01 2.07577619e+01 2.07577584e+01 2.07577560e+01 2.07577544e+01 2.07577537e+01 2.07577531e+01 2.07577527e+01 2.07577525e+01 2.07577523e+01 2.07577522e+01 2.07577522e+01 2.07577520e+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 2.07577519e+01 2.07577523e+01 2.07577521e+01 2.07577521e+01 2.07577519e+01 2.07577520e+01 2.07577521e+01 6.27266479e+03 4.93560173e+03 3.88319072e+03 3.05490187e+03 2.40306242e+03 1.89012791e+03 1.48653380e+03 1.16900155e+03 9.19202422e+02 7.22706762e+02 5.68155301e+02 4.46606606e+02 3.51023316e+02 2.75867311e+02 2.16781328e+02 1.70338904e+02 1.33848167e+02 1.05199631e+02 8.27487418e+01 6.52272629e+01 5.16752766e+01 4.13816455e+01 3.38146538e+01 2.85312979e+01 2.50878774e+01 2.30095545e+01 2.18401413e+01 2.12144705e+01 2.08876714e+01 2.07167436e+01 2.06255048e+01 2.05752884e+01 2.05467364e+01 2.05300215e+01 2.05200066e+01 2.05139020e+01 2.05101375e+01 2.05077968e+01 2.05063339e+01 2.05054165e+01 2.05048398e+01 2.05044768e+01 2.05042481e+01 2.05041039e+01 2.05040130e+01 2.05039557e+01 2.05039196e+01 2.05038966e+01 2.05038823e+01 2.05038733e+01 2.05038675e+01 2.05038640e+01 2.05038617e+01 2.05038600e+01 2.05038594e+01 2.05038587e+01 2.05038584e+01 2.05038582e+01 2.05038580e+01 2.05038579e+01 2.05038578e+01 2.05038577e+01 2.05038577e+01 2.05038580e+01 2.05038578e+01 2.05038577e+01 2.05038576e+01 2.05038577e+01 2.05038578e+01 2.05038579e+01 2.05038577e+01 2.05038578e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038579e+01 2.05038578e+01 2.05038578e+01 2.05038576e+01 2.05038576e+01 2.05038578e+01 6.21355354e+03 4.88864797e+03 3.84589407e+03 3.02527664e+03 2.37952992e+03 1.87143528e+03 1.47168570e+03 1.15720740e+03 9.09833804e+02 7.15265085e+02 5.62244114e+02 4.41911233e+02 3.47293573e+02 2.72904637e+02 2.14427908e+02 1.68469259e+02 1.32362634e+02 1.04018720e+02 8.18090124e+01 6.44776294e+01 5.10740408e+01 4.08940729e+01 3.34112576e+01 2.81870020e+01 2.47822822e+01 2.27273807e+01 2.15711698e+01 2.09525656e+01 2.06294553e+01 2.04604534e+01 2.03702415e+01 2.03205913e+01 2.02923598e+01 2.02758323e+01 2.02659295e+01 2.02598939e+01 2.02561714e+01 2.02538569e+01 2.02524090e+01 2.02515019e+01 2.02509317e+01 2.02505727e+01 2.02503466e+01 2.02502040e+01 2.02501141e+01 2.02500575e+01 2.02500217e+01 2.02499990e+01 2.02499849e+01 2.02499760e+01 2.02499702e+01 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2.00022066e+01 1.99999164e+01 1.99984862e+01 1.99975893e+01 1.99970255e+01 1.99966706e+01 1.99964470e+01 1.99963061e+01 1.99962172e+01 1.99961612e+01 1.99961258e+01 1.99961034e+01 1.99960894e+01 1.99960806e+01 1.99960749e+01 1.99960716e+01 1.99960692e+01 1.99960676e+01 1.99960670e+01 1.99960664e+01 1.99960660e+01 1.99960659e+01 1.99960656e+01 1.99960655e+01 1.99960655e+01 1.99960653e+01 1.99960654e+01 1.99960656e+01 1.99960654e+01 1.99960653e+01 1.99960652e+01 1.99960654e+01 1.99960654e+01 1.99960655e+01 1.99960653e+01 1.99960654e+01 1.99960654e+01 1.99960653e+01 1.99960653e+01 1.99960656e+01 1.99960654e+01 1.99960654e+01 1.99960652e+01 1.99960653e+01 1.99960655e+01 6.09533133e+03 4.79474027e+03 3.77130121e+03 2.96602535e+03 2.33246478e+03 1.83405007e+03 1.44198968e+03 1.13361880e+03 8.91097004e+02 7.00381749e+02 5.50421879e+02 4.32520422e+02 3.39834179e+02 2.66979317e+02 2.09721020e+02 1.64729980e+02 1.29391493e+02 1.01656903e+02 7.99295802e+01 6.29783639e+01 4.98715616e+01 3.99189283e+01 3.26044516e+01 2.74984194e+01 2.41710841e+01 2.21630342e+01 2.10332245e+01 2.04287501e+01 2.01130215e+01 1.99478737e+01 1.98597204e+01 1.98111976e+01 1.97836077e+01 1.97674521e+01 1.97577738e+01 1.97518755e+01 1.97482378e+01 1.97459756e+01 1.97445618e+01 1.97436752e+01 1.97431178e+01 1.97427670e+01 1.97425459e+01 1.97424066e+01 1.97423187e+01 1.97422634e+01 1.97422284e+01 1.97422062e+01 1.97421924e+01 1.97421837e+01 1.97421781e+01 1.97421748e+01 1.97421725e+01 1.97421709e+01 1.97421702e+01 1.97421696e+01 1.97421693e+01 1.97421691e+01 1.97421689e+01 1.97421688e+01 1.97421688e+01 1.97421686e+01 1.97421687e+01 1.97421689e+01 1.97421687e+01 1.97421686e+01 1.97421685e+01 1.97421687e+01 1.97421687e+01 1.97421688e+01 1.97421686e+01 1.97421687e+01 1.97421687e+01 1.97421686e+01 1.97421686e+01 1.97421689e+01 1.97421687e+01 1.97421687e+01 1.97421685e+01 1.97421686e+01 1.97421687e+01 6.03622042e+03 4.74778593e+03 3.73400435e+03 2.93639928e+03 2.30893247e+03 1.81535758e+03 1.42714182e+03 1.12182462e+03 8.81728517e+02 6.92940129e+02 5.44510815e+02 4.27825038e+02 3.36104527e+02 2.64016641e+02 2.07367553e+02 1.62860325e+02 1.27905906e+02 1.00476012e+02 7.89898373e+01 6.22287273e+01 4.92703165e+01 3.94313583e+01 3.22010419e+01 2.71541309e+01 2.38654873e+01 2.18808608e+01 2.07642526e+01 2.01668465e+01 1.98548070e+01 1.96915886e+01 1.96044592e+01 1.95565018e+01 1.95292324e+01 1.95132667e+01 1.95036987e+01 1.94978681e+01 1.94942716e+01 1.94920357e+01 1.94906382e+01 1.94897619e+01 1.94892110e+01 1.94888642e+01 1.94886457e+01 1.94885080e+01 1.94884211e+01 1.94883664e+01 1.94883319e+01 1.94883100e+01 1.94882963e+01 1.94882877e+01 1.94882821e+01 1.94882788e+01 1.94882766e+01 1.94882750e+01 1.94882744e+01 1.94882738e+01 1.94882734e+01 1.94882733e+01 1.94882730e+01 1.94882729e+01 1.94882729e+01 1.94882728e+01 1.94882728e+01 1.94882730e+01 1.94882729e+01 1.94882728e+01 1.94882727e+01 1.94882728e+01 1.94882729e+01 1.94882730e+01 1.94882728e+01 1.94882728e+01 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1.92343765e+01 1.92343763e+01 1.92343762e+01 1.92343761e+01 1.92343760e+01 1.92343761e+01 1.92343763e+01 1.92343761e+01 1.92343760e+01 1.92343759e+01 1.92343761e+01 1.92343761e+01 1.92343762e+01 1.92343760e+01 1.92343761e+01 1.92343761e+01 1.92343760e+01 1.92343759e+01 1.92343762e+01 1.92343761e+01 1.92343761e+01 1.92343759e+01 1.92343760e+01 1.92343761e+01 5.91799751e+03 4.65387956e+03 3.65941107e+03 2.87714800e+03 2.26186717e+03 1.77797253e+03 1.39744566e+03 1.09823626e+03 8.62991487e+02 6.78056811e+02 5.32688535e+02 4.18434256e+02 3.28645116e+02 2.58091321e+02 2.02660653e+02 1.59121032e+02 1.24934815e+02 9.81141865e+01 7.71104062e+01 6.07294567e+01 4.80678458e+01 3.84562157e+01 3.13942362e+01 2.64655411e+01 2.32542898e+01 2.13165089e+01 2.02263069e+01 1.96430369e+01 1.93383719e+01 1.91790121e+01 1.90939377e+01 1.90471089e+01 1.90204765e+01 1.90048861e+01 1.89955444e+01 1.89898504e+01 1.89863387e+01 1.89841551e+01 1.89827903e+01 1.89819345e+01 1.89813965e+01 1.89810578e+01 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1.93811308e+01 1.90801576e+01 1.89227233e+01 1.88386755e+01 1.87924126e+01 1.87661032e+01 1.87507000e+01 1.87414681e+01 1.87358425e+01 1.87323728e+01 1.87302154e+01 1.87288670e+01 1.87280215e+01 1.87274899e+01 1.87271553e+01 1.87269445e+01 1.87268116e+01 1.87267278e+01 1.87266750e+01 1.87266417e+01 1.87266205e+01 1.87266074e+01 1.87265991e+01 1.87265937e+01 1.87265905e+01 1.87265883e+01 1.87265868e+01 1.87265862e+01 1.87265856e+01 1.87265853e+01 1.87265851e+01 1.87265849e+01 1.87265848e+01 1.87265848e+01 1.87265846e+01 1.87265847e+01 1.87265849e+01 1.87265847e+01 1.87265846e+01 1.87265845e+01 1.87265847e+01 1.87265847e+01 1.87265848e+01 1.87265847e+01 1.87265847e+01 1.87265847e+01 1.87265846e+01 1.87265846e+01 1.87265849e+01 1.87265847e+01 1.87265847e+01 1.87265846e+01 1.87265846e+01 1.87265848e+01 5.79977593e+03 4.55997178e+03 3.58481819e+03 2.81789643e+03 2.21480218e+03 1.74058723e+03 1.36774950e+03 1.07464786e+03 8.44254600e+02 6.63173518e+02 5.20866288e+02 4.09043464e+02 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2.12064293e+02 8.74520251e+01 3.67432267e+01 1.58860853e+01 7.18668998e+00 3.50227709e+00 1.92653510e+00 1.26155299e+00 1.00244974e+00 7.67824620e+25 5.81999094e+25 4.40132219e+25 3.32002584e+25 2.49733813e+25 1.87262189e+25 1.39924534e+25 1.04138366e+25 7.71547672e+24 5.68669825e+24 4.16626670e+24 3.03096568e+24 2.18678371e+24 1.56212246e+24 1.10256303e+24 7.66836066e+23 5.23719569e+23 3.49651104e+23 2.26883350e+23 1.42056176e+23 8.50847533e+22 4.82931213e+22 2.57556074e+22 1.28463310e+22 6.00508706e+21 2.65625020e+21 1.12785568e+21 4.66383296e+20 1.89927134e+20 7.67075324e+19 3.08401117e+19 1.23644679e+19 4.94724016e+18 1.97643270e+18 7.88675829e+17 3.14455022e+17 1.25308193e+17 4.99166975e+16 1.98798918e+16 7.91626162e+15 3.15200645e+15 1.25495845e+15 4.99638633e+14 1.98917430e+14 7.91923933e+13 3.15275478e+13 1.25514662e+13 4.99686012e+12 1.98929405e+12 7.91954478e+11 3.15283439e+11 1.25516846e+11 4.99692654e+10 1.98931800e+10 7.91965095e+09 3.15289007e+09 1.25520074e+09 4.99712312e+08 1.98944025e+08 7.92041761e+07 3.15337265e+07 1.25550489e+07 4.99904113e+06 1.99064993e+06 7.92804637e+05 3.15818294e+05 1.25853725e+05 5.01814974e+04 2.00268526e+04 8.00379972e+03 3.20582496e+03 1.28847230e+03 5.20608532e+02 2.12064293e+02 8.74520249e+01 3.67432273e+01 1.58860852e+01 7.18668998e+00 3.50227706e+00 1.92653510e+00 1.26155300e+00 1.92868824e+26 1.46191563e+26 1.10556215e+26 8.33952787e+25 6.27302977e+25 4.70381351e+25 3.51474538e+25 2.61583747e+25 1.93804013e+25 1.42843402e+25 1.04651888e+25 7.61344156e+24 5.49295232e+24 3.92387421e+24 2.76951311e+24 1.92620511e+24 1.31552408e+24 8.78283865e+23 5.69905210e+23 3.56828981e+23 2.13723237e+23 1.21306836e+23 6.46951608e+22 3.22685246e+22 1.50840967e+22 6.67219884e+21 2.83304537e+21 1.17150187e+21 4.77075392e+20 1.92680610e+20 7.74668581e+19 3.10581391e+19 1.24269054e+19 4.96457449e+18 1.98106411e+18 7.89875303e+17 3.14759950e+17 1.25385075e+17 4.99360304e+16 1.98847501e+16 7.91748219e+15 3.15231308e+15 1.25503548e+15 4.99657982e+14 1.98922290e+14 7.91936145e+13 3.15278545e+13 1.25515432e+13 4.99687949e+12 1.98929892e+12 7.91955695e+11 3.15283748e+11 1.25516922e+11 4.99692841e+10 1.98931851e+10 7.91965214e+09 3.15289038e+09 1.25520082e+09 4.99712329e+08 1.98944030e+08 7.92041774e+07 3.15337266e+07 1.25550490e+07 4.99904121e+06 1.99064992e+06 7.92804634e+05 3.15818293e+05 1.25853726e+05 5.01814976e+04 2.00268527e+04 8.00379965e+03 3.20582497e+03 1.28847230e+03 5.20608530e+02 2.12064292e+02 8.74520262e+01 3.67432270e+01 1.58860852e+01 7.18668991e+00 3.50227707e+00 1.92653512e+00 4.84464583e+26 3.67216603e+26 2.77704656e+26 2.09479469e+26 1.57571384e+26 1.18154453e+26 8.82864122e+25 6.57068666e+25 4.86813670e+25 3.58806402e+25 2.62873657e+25 1.91241005e+25 1.37976724e+25 9.85632638e+24 6.95670240e+24 4.83840848e+24 3.30444708e+24 2.20614932e+24 1.43153716e+24 8.96313875e+23 5.36848500e+23 3.04708995e+23 1.62506897e+23 8.10548692e+22 3.78895379e+22 1.67598057e+22 7.11628823e+21 2.94267966e+21 1.19835920e+21 4.83991809e+20 1.94587950e+20 7.80145183e+19 3.12149751e+19 1.24704473e+19 4.97620806e+18 1.98407706e+18 7.90641247e+17 3.14953068e+17 1.25433637e+17 4.99482338e+16 1.98878160e+16 7.91825240e+15 3.15250657e+15 1.25508408e+15 4.99670189e+14 1.98925358e+14 7.91943850e+13 3.15280478e+13 1.25515918e+13 4.99689172e+12 1.98930198e+12 7.91956472e+11 3.15283940e+11 1.25516969e+11 4.99692970e+10 1.98931881e+10 7.91965292e+09 3.15289058e+09 1.25520086e+09 4.99712341e+08 1.98944033e+08 7.92041777e+07 3.15337269e+07 1.25550492e+07 4.99904118e+06 1.99064991e+06 7.92804631e+05 3.15818296e+05 1.25853726e+05 5.01814978e+04 2.00268525e+04 8.00379967e+03 3.20582497e+03 1.28847229e+03 5.20608529e+02 2.12064296e+02 8.74520255e+01 3.67432269e+01 1.58860850e+01 7.18668993e+00 3.50227710e+00 1.21692001e+27 9.22406401e+26 6.97562557e+26 5.26188636e+26 3.95801421e+26 2.96790568e+26 2.21765441e+26 1.65048187e+26 1.22282065e+26 9.01280934e+25 6.60308773e+25 4.80375687e+25 3.46581861e+25 2.47579725e+25 1.74744464e+25 1.21535326e+25 8.30039579e+24 5.54159655e+24 3.59585878e+24 2.25143866e+24 1.34850246e+24 7.65394391e+23 4.08198869e+23 2.03600626e+23 9.51742161e+22 4.20987286e+22 1.78753078e+22 7.39167712e+21 3.01014222e+21 1.21573246e+21 4.88782831e+20 1.95963610e+20 7.84084725e+19 3.13243474e+19 1.24996695e+19 4.98377623e+18 1.98600102e+18 7.91126337e+17 3.15075050e+17 1.25464291e+17 4.99559350e+16 1.98897507e+16 7.91873842e+15 3.15262865e+15 1.25511475e+15 4.99677895e+14 1.98927293e+14 7.91948705e+13 3.15281701e+13 1.25516225e+13 4.99689940e+12 1.98930393e+12 7.91956955e+11 3.15284059e+11 1.25517001e+11 4.99693045e+10 1.98931900e+10 7.91965343e+09 3.15289069e+09 1.25520089e+09 4.99712350e+08 1.98944034e+08 7.92041785e+07 3.15337274e+07 1.25550491e+07 4.99904116e+06 1.99064991e+06 7.92804639e+05 3.15818297e+05 1.25853727e+05 5.01814974e+04 2.00268526e+04 8.00379967e+03 3.20582496e+03 1.28847229e+03 5.20608537e+02 2.12064294e+02 8.74520255e+01 3.67432266e+01 1.58860851e+01 7.18668999e+00 3.05676487e+27 2.31698012e+27 1.75219792e+27 1.32172609e+27 9.94208218e+26 7.45504201e+26 5.57049602e+26 4.14582301e+26 3.07158661e+26 2.26391535e+26 1.65862065e+26 1.20664917e+26 8.70574275e+25 6.21892152e+25 4.38938247e+25 3.05282936e+25 2.08496516e+25 1.39198612e+25 9.03238887e+24 5.65535823e+24 3.38728504e+24 1.92258379e+24 1.02534920e+24 5.11421650e+23 2.39066822e+23 1.05747225e+23 4.49007432e+22 1.85670535e+22 7.56113541e+21 3.05378187e+21 1.22776696e+21 4.92238333e+20 1.96953178e+20 7.86832031e+19 3.13977503e+19 1.25186799e+19 4.98860901e+18 1.98721951e+18 7.91432744e+17 3.15152049e+17 1.25483635e+17 4.99607948e+16 1.98909715e+16 7.91904508e+15 3.15270568e+15 1.25513410e+15 4.99682756e+14 1.98928513e+14 7.91951776e+13 3.15282472e+13 1.25516418e+13 4.99690430e+12 1.98930514e+12 7.91957253e+11 3.15284140e+11 1.25517020e+11 4.99693094e+10 1.98931913e+10 7.91965369e+09 3.15289076e+09 1.25520091e+09 4.99712351e+08 1.98944036e+08 7.92041797e+07 3.15337272e+07 1.25550491e+07 4.99904114e+06 1.99064993e+06 7.92804641e+05 3.15818298e+05 1.25853726e+05 5.01814975e+04 2.00268526e+04 8.00379964e+03 3.20582495e+03 1.28847231e+03 5.20608533e+02 2.12064294e+02 8.74520247e+01 3.67432267e+01 1.58860852e+01 7.67824620e+27 5.81999094e+27 4.40132219e+27 3.32002584e+27 2.49733813e+27 1.87262189e+27 1.39924534e+27 1.04138366e+27 7.71547672e+26 5.68669825e+26 4.16626670e+26 3.03096568e+26 2.18678371e+26 1.56212246e+26 1.10256303e+26 7.66836066e+25 5.23719569e+25 3.49651104e+25 2.26883350e+25 1.42056176e+25 8.50847533e+24 4.82931213e+24 2.57556074e+24 1.28463310e+24 6.00508706e+23 2.65625020e+23 1.12785568e+23 4.66383296e+22 1.89927134e+22 7.67075324e+21 3.08401117e+21 1.23644679e+21 4.94724016e+20 1.97643270e+20 7.88675828e+19 3.14455022e+19 1.25308193e+19 4.99166973e+18 1.98798917e+18 7.91626155e+17 3.15200640e+17 1.25495842e+17 4.99638614e+16 1.98917418e+16 7.91923856e+15 3.15275430e+15 1.25514632e+15 4.99685820e+14 1.98929284e+14 7.91953714e+13 3.15282957e+13 1.25516541e+13 4.99690735e+12 1.98930589e+12 7.91957456e+11 3.15284187e+11 1.25517033e+11 4.99693126e+10 1.98931920e+10 7.91965389e+09 3.15289081e+09 1.25520091e+09 4.99712357e+08 1.98944039e+08 7.92041793e+07 3.15337271e+07 1.25550490e+07 4.99904119e+06 1.99064993e+06 7.92804645e+05 3.15818295e+05 1.25853726e+05 5.01814975e+04 2.00268525e+04 8.00379962e+03 3.20582500e+03 1.28847230e+03 5.20608533e+02 2.12064292e+02 8.74520249e+01 3.67432270e+01 1.92868824e+28 1.46191563e+28 1.10556215e+28 8.33952787e+27 6.27302977e+27 4.70381351e+27 3.51474538e+27 2.61583747e+27 1.93804013e+27 1.42843402e+27 1.04651888e+27 7.61344156e+26 5.49295232e+26 3.92387421e+26 2.76951311e+26 1.92620511e+26 1.31552408e+26 8.78283865e+25 5.69905210e+25 3.56828981e+25 2.13723237e+25 1.21306836e+25 6.46951608e+24 3.22685246e+24 1.50840967e+24 6.67219884e+23 2.83304537e+23 1.17150187e+23 4.77075392e+22 1.92680610e+22 7.74668581e+21 3.10581391e+21 1.24269054e+21 4.96457449e+20 1.98106411e+20 7.89875302e+19 3.14759949e+19 1.25385075e+19 4.99360302e+18 1.98847500e+18 7.91748211e+17 3.15231303e+17 1.25503545e+17 4.99657962e+16 1.98922278e+16 7.91936069e+15 3.15278497e+15 1.25515401e+15 4.99687757e+14 1.98929771e+14 7.91954931e+13 3.15283266e+13 1.25516618e+13 4.99690923e+12 1.98930640e+12 7.91957576e+11 3.15284218e+11 1.25517041e+11 4.99693143e+10 1.98931925e+10 7.91965402e+09 3.15289083e+09 1.25520093e+09 4.99712364e+08 1.98944038e+08 7.92041790e+07 3.15337270e+07 1.25550492e+07 4.99904120e+06 1.99064994e+06 7.92804637e+05 3.15818296e+05 1.25853726e+05 5.01814973e+04 2.00268524e+04 8.00379975e+03 3.20582498e+03 1.28847230e+03 5.20608528e+02 2.12064292e+02 8.74520256e+01 4.84464583e+28 3.67216603e+28 2.77704656e+28 2.09479469e+28 1.57571384e+28 1.18154453e+28 8.82864122e+27 6.57068666e+27 4.86813670e+27 3.58806402e+27 2.62873657e+27 1.91241005e+27 1.37976724e+27 9.85632638e+26 6.95670240e+26 4.83840848e+26 3.30444708e+26 2.20614932e+26 1.43153716e+26 8.96313875e+25 5.36848500e+25 3.04708995e+25 1.62506897e+25 8.10548692e+24 3.78895379e+24 1.67598057e+24 7.11628823e+23 2.94267966e+23 1.19835920e+23 4.83991809e+22 1.94587950e+22 7.80145183e+21 3.12149751e+21 1.24704473e+21 4.97620806e+20 1.98407705e+20 7.90641246e+19 3.14953067e+19 1.25433637e+19 4.99482336e+18 1.98878159e+18 7.91825233e+17 3.15250652e+17 1.25508405e+17 4.99670170e+16 1.98925346e+16 7.91943773e+15 3.15280430e+15 1.25515888e+15 4.99688980e+14 1.98930077e+14 7.91955708e+13 3.15283458e+13 1.25516665e+13 4.99691051e+12 1.98930670e+12 7.91957653e+11 3.15284238e+11 1.25517045e+11 4.99693155e+10 1.98931928e+10 7.91965405e+09 3.15289086e+09 1.25520095e+09 4.99712361e+08 1.98944037e+08 7.92041787e+07 3.15337273e+07 1.25550492e+07 4.99904122e+06 1.99064992e+06 7.92804640e+05 3.15818296e+05 1.25853725e+05 5.01814972e+04 2.00268528e+04 8.00379968e+03 3.20582497e+03 1.28847229e+03 5.20608530e+02 2.12064294e+02 # # uncertainties in the thermally averaged relativistic Gaunt factors 4.5338e-03 3.5782e-03 2.7378e-03 2.2108e-03 1.7265e-03 1.3962e-03 1.0850e-03 8.3759e-04 6.4734e-04 5.2774e-04 3.9729e-04 3.0371e-04 2.5554e-04 1.7266e-04 1.5333e-04 1.1951e-04 9.9052e-05 7.4608e-05 6.0729e-05 4.9481e-05 3.3902e-05 2.9064e-05 2.3712e-05 1.9320e-05 1.7379e-05 1.5988e-05 1.4929e-05 1.5750e-05 1.6328e-05 1.4773e-05 1.5127e-05 1.4986e-05 1.6231e-05 1.5956e-05 1.5662e-05 1.5590e-05 1.5544e-05 1.5504e-05 1.5486e-05 1.5487e-05 1.5480e-05 1.5465e-05 1.5471e-05 1.5460e-05 1.5461e-05 1.5460e-05 1.5467e-05 1.5461e-05 1.5454e-05 1.5457e-05 1.5458e-05 1.5461e-05 1.5472e-05 1.5450e-05 1.5468e-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 1.5460e-05 1.5456e-05 1.5463e-05 1.5463e-05 1.5463e-05 1.5470e-05 1.5465e-05 1.5465e-05 1.5456e-05 1.5457e-05 1.5469e-05 1.5468e-05 1.5466e-05 1.5458e-05 1.5458e-05 1.5466e-05 4.3600e-03 3.0503e-03 2.9729e-03 2.0271e-03 1.7261e-03 1.1660e-03 1.0396e-03 8.1210e-04 6.7191e-04 4.5221e-04 3.7991e-04 2.9207e-04 2.5211e-04 1.9917e-04 1.6683e-04 1.1620e-04 9.4928e-05 7.3035e-05 5.4346e-05 4.5986e-05 3.6348e-05 2.7402e-05 2.5269e-05 2.0444e-05 1.8013e-05 1.6702e-05 1.5843e-05 1.5972e-05 1.5121e-05 1.5082e-05 1.5120e-05 1.5891e-05 1.4900e-05 1.4747e-05 1.4660e-05 1.5218e-05 1.5165e-05 1.5121e-05 1.5101e-05 1.5100e-05 1.5092e-05 1.5076e-05 1.5082e-05 1.5071e-05 1.5071e-05 1.5070e-05 1.5077e-05 1.5071e-05 1.5064e-05 1.5067e-05 1.5068e-05 1.5071e-05 1.5082e-05 1.5060e-05 1.5078e-05 1.5069e-05 1.5071e-05 1.5078e-05 1.5076e-05 1.5073e-05 1.5065e-05 1.5063e-05 1.5070e-05 1.5077e-05 1.5076e-05 1.5070e-05 1.5066e-05 1.5073e-05 1.5073e-05 1.5072e-05 1.5080e-05 1.5075e-05 1.5075e-05 1.5066e-05 1.5067e-05 1.5079e-05 1.5077e-05 1.5076e-05 1.5068e-05 1.5068e-05 1.5076e-05 4.5323e-03 2.9674e-03 2.7270e-03 1.9749e-03 1.7069e-03 1.3353e-03 1.0825e-03 8.3069e-04 6.4789e-04 4.9936e-04 4.0748e-04 3.1225e-04 2.3144e-04 1.9690e-04 1.3297e-04 1.1701e-04 8.4199e-05 7.6187e-05 5.8843e-05 4.5690e-05 3.7125e-05 2.5720e-05 2.1176e-05 2.1282e-05 1.6362e-05 1.6107e-05 1.5798e-05 1.5975e-05 1.4878e-05 1.5473e-05 1.5935e-05 1.5311e-05 1.4688e-05 1.4571e-05 1.4507e-05 1.4465e-05 1.4438e-05 1.4409e-05 1.4946e-05 1.4946e-05 1.4940e-05 1.4925e-05 1.4931e-05 1.4920e-05 1.4920e-05 1.4919e-05 1.4926e-05 1.4920e-05 1.4914e-05 1.4916e-05 1.4917e-05 1.4920e-05 1.4931e-05 1.4909e-05 1.4927e-05 1.4918e-05 1.4920e-05 1.4927e-05 1.4925e-05 1.4923e-05 1.4914e-05 1.4912e-05 1.4919e-05 1.4926e-05 1.4925e-05 1.4919e-05 1.4915e-05 1.4922e-05 1.4922e-05 1.4922e-05 1.4929e-05 1.4924e-05 1.4924e-05 1.4915e-05 1.4916e-05 1.4928e-05 1.4927e-05 1.4925e-05 1.4918e-05 1.4917e-05 1.4925e-05 4.3749e-03 3.3810e-03 2.7558e-03 2.0541e-03 1.5671e-03 1.3346e-03 9.0111e-04 8.2910e-04 6.1754e-04 5.1811e-04 3.3868e-04 2.9305e-04 2.1687e-04 1.9405e-04 1.5206e-04 1.1812e-04 8.9959e-05 7.3481e-05 5.6214e-05 4.2330e-05 3.5541e-05 2.8900e-05 2.2233e-05 1.8234e-05 1.7425e-05 1.6157e-05 1.5652e-05 1.4472e-05 1.4840e-05 1.4353e-05 1.5210e-05 1.4767e-05 1.3934e-05 1.3773e-05 1.3683e-05 1.3624e-05 1.3585e-05 1.5000e-05 1.4979e-05 1.4976e-05 1.4969e-05 1.4953e-05 1.4958e-05 1.4947e-05 1.4947e-05 1.4946e-05 1.4953e-05 1.4947e-05 1.4940e-05 1.4943e-05 1.4944e-05 1.4947e-05 1.4957e-05 1.4936e-05 1.4954e-05 1.4945e-05 1.4947e-05 1.4953e-05 1.4951e-05 1.4949e-05 1.4941e-05 1.4939e-05 1.4946e-05 1.4953e-05 1.4951e-05 1.4946e-05 1.4942e-05 1.4948e-05 1.4949e-05 1.4948e-05 1.4955e-05 1.4951e-05 1.4951e-05 1.4942e-05 1.4943e-05 1.4954e-05 1.4953e-05 1.4951e-05 1.4944e-05 1.4944e-05 1.4951e-05 4.2256e-03 3.5111e-03 2.3690e-03 1.9827e-03 1.7016e-03 1.3165e-03 1.0415e-03 8.7344e-04 6.1247e-04 4.9976e-04 3.8826e-04 3.1326e-04 2.4784e-04 1.9154e-04 1.4111e-04 1.1108e-04 9.7281e-05 6.6502e-05 5.3045e-05 4.2919e-05 3.8199e-05 2.8223e-05 2.1683e-05 1.9373e-05 1.8051e-05 1.4846e-05 1.4829e-05 1.5973e-05 1.4781e-05 1.5349e-05 1.4657e-05 1.5139e-05 1.4235e-05 1.5249e-05 1.5134e-05 1.5421e-05 1.5301e-05 1.5266e-05 1.5251e-05 1.5252e-05 1.5247e-05 1.5233e-05 1.5239e-05 1.5229e-05 1.5230e-05 1.5228e-05 1.5235e-05 1.5230e-05 1.5223e-05 1.5226e-05 1.5227e-05 1.5230e-05 1.5239e-05 1.5219e-05 1.5236e-05 1.5228e-05 1.5230e-05 1.5236e-05 1.5234e-05 1.5232e-05 1.5224e-05 1.5222e-05 1.5228e-05 1.5235e-05 1.5234e-05 1.5229e-05 1.5225e-05 1.5231e-05 1.5232e-05 1.5231e-05 1.5238e-05 1.5234e-05 1.5234e-05 1.5225e-05 1.5226e-05 1.5237e-05 1.5236e-05 1.5234e-05 1.5227e-05 1.5227e-05 1.5234e-05 4.1412e-03 3.3825e-03 2.6297e-03 2.1287e-03 1.6307e-03 1.2212e-03 9.5927e-04 7.4646e-04 6.1268e-04 4.6065e-04 3.5843e-04 3.0154e-04 2.2557e-04 1.8105e-04 1.4980e-04 1.1705e-04 1.0003e-04 7.2370e-05 5.6212e-05 4.3690e-05 3.3522e-05 2.8280e-05 2.4957e-05 1.8441e-05 1.6709e-05 1.4437e-05 1.4621e-05 1.4777e-05 1.4214e-05 1.4785e-05 1.4616e-05 1.3798e-05 1.3790e-05 1.3945e-05 1.3877e-05 1.3834e-05 1.4225e-05 1.4195e-05 1.4183e-05 1.4187e-05 1.4183e-05 1.4169e-05 1.4176e-05 1.4166e-05 1.4167e-05 1.4166e-05 1.4173e-05 1.4167e-05 1.4161e-05 1.4163e-05 1.4165e-05 1.4167e-05 1.4177e-05 1.4156e-05 1.4174e-05 1.4165e-05 1.4167e-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 1.4170e-05 1.4169e-05 1.4176e-05 1.4171e-05 1.4172e-05 1.4162e-05 1.4163e-05 1.4175e-05 1.4174e-05 1.4172e-05 1.4165e-05 1.4164e-05 1.4172e-05 4.3307e-03 3.0581e-03 2.7109e-03 2.0456e-03 1.5308e-03 1.1316e-03 1.0672e-03 8.0551e-04 6.3954e-04 4.7166e-04 4.0523e-04 3.1995e-04 2.1519e-04 1.8501e-04 1.4534e-04 1.1072e-04 8.5415e-05 7.1285e-05 5.1668e-05 4.4880e-05 3.3406e-05 2.6121e-05 2.0939e-05 1.9564e-05 1.5901e-05 1.5180e-05 1.5203e-05 1.4782e-05 1.4384e-05 1.4806e-05 1.3973e-05 1.4284e-05 1.4474e-05 1.3514e-05 1.4766e-05 1.4683e-05 1.4629e-05 1.4586e-05 1.4565e-05 1.4563e-05 1.4556e-05 1.4541e-05 1.4546e-05 1.4535e-05 1.4536e-05 1.4534e-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 1.4542e-05 1.4533e-05 1.4535e-05 1.4541e-05 1.4539e-05 1.4537e-05 1.4529e-05 1.4528e-05 1.4534e-05 1.4540e-05 1.4539e-05 1.4534e-05 1.4530e-05 1.4536e-05 1.4537e-05 1.4536e-05 1.4543e-05 1.4539e-05 1.4539e-05 1.4530e-05 1.4531e-05 1.4542e-05 1.4541e-05 1.4539e-05 1.4532e-05 1.4532e-05 1.4539e-05 4.5623e-03 3.2043e-03 2.6722e-03 2.0180e-03 1.6415e-03 1.2575e-03 1.0018e-03 7.6294e-04 5.7602e-04 5.1095e-04 3.5535e-04 3.0396e-04 2.0101e-04 1.7355e-04 1.3864e-04 1.2084e-04 7.7194e-05 7.2697e-05 5.2975e-05 4.3224e-05 3.5216e-05 2.9089e-05 2.3182e-05 1.8458e-05 1.6790e-05 1.6201e-05 1.4873e-05 1.4785e-05 1.5077e-05 1.4198e-05 1.3705e-05 1.3934e-05 1.4456e-05 1.4240e-05 1.4117e-05 1.4041e-05 1.3992e-05 1.3951e-05 1.3932e-05 1.3932e-05 1.3925e-05 1.3910e-05 1.3915e-05 1.3905e-05 1.3906e-05 1.3904e-05 1.3911e-05 1.3905e-05 1.3899e-05 1.3901e-05 1.3903e-05 1.3905e-05 1.3915e-05 1.3895e-05 1.3912e-05 1.3903e-05 1.3905e-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 1.3907e-05 1.3907e-05 1.3913e-05 1.3909e-05 1.3909e-05 1.3900e-05 1.3901e-05 1.3912e-05 1.3911e-05 1.3910e-05 1.3903e-05 1.3902e-05 1.3910e-05 3.6353e-03 3.4697e-03 2.3605e-03 2.0529e-03 1.3980e-03 1.3144e-03 8.7705e-04 8.2961e-04 5.9169e-04 5.1762e-04 3.6380e-04 3.1243e-04 2.2850e-04 1.8515e-04 1.4284e-04 1.1238e-04 8.5428e-05 6.8606e-05 5.3255e-05 4.0079e-05 3.4819e-05 2.7532e-05 2.3421e-05 1.8109e-05 1.5657e-05 1.5030e-05 1.4114e-05 1.4345e-05 1.3795e-05 1.3656e-05 1.4443e-05 1.3508e-05 1.3309e-05 1.3211e-05 1.4484e-05 1.4397e-05 1.4341e-05 1.4296e-05 1.4275e-05 1.4271e-05 1.4263e-05 1.4248e-05 1.4253e-05 1.4243e-05 1.4243e-05 1.4242e-05 1.4248e-05 1.4242e-05 1.4236e-05 1.4239e-05 1.4240e-05 1.4242e-05 1.4252e-05 1.4232e-05 1.4249e-05 1.4241e-05 1.4242e-05 1.4248e-05 1.4246e-05 1.4244e-05 1.4237e-05 1.4235e-05 1.4241e-05 1.4248e-05 1.4246e-05 1.4242e-05 1.4238e-05 1.4244e-05 1.4244e-05 1.4244e-05 1.4250e-05 1.4246e-05 1.4246e-05 1.4238e-05 1.4239e-05 1.4249e-05 1.4248e-05 1.4246e-05 1.4240e-05 1.4240e-05 1.4247e-05 4.1727e-03 3.5218e-03 2.4737e-03 2.1211e-03 1.5524e-03 1.2636e-03 9.5393e-04 7.6941e-04 5.8991e-04 4.7040e-04 3.6394e-04 2.6830e-04 2.2819e-04 1.6548e-04 1.4401e-04 1.0687e-04 8.8420e-05 6.6503e-05 5.5667e-05 4.1310e-05 3.0354e-05 2.6320e-05 2.2443e-05 1.8573e-05 1.5663e-05 1.4528e-05 1.3917e-05 1.3611e-05 1.3774e-05 1.3696e-05 1.4423e-05 1.3324e-05 1.4336e-05 1.3966e-05 1.3862e-05 1.3797e-05 1.3755e-05 1.3718e-05 1.3702e-05 1.3703e-05 1.3697e-05 1.3683e-05 1.3689e-05 1.3679e-05 1.3680e-05 1.3678e-05 1.3685e-05 1.3679e-05 1.3673e-05 1.3676e-05 1.3677e-05 1.3679e-05 1.3689e-05 1.3669e-05 1.3686e-05 1.3678e-05 1.3679e-05 1.3685e-05 1.3683e-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 1.3681e-05 1.3681e-05 1.3687e-05 1.3683e-05 1.3683e-05 1.3675e-05 1.3676e-05 1.3686e-05 1.3685e-05 1.3684e-05 1.3677e-05 1.3677e-05 1.3684e-05 4.0015e-03 3.0585e-03 2.4753e-03 1.8598e-03 1.5929e-03 1.2217e-03 9.0867e-04 7.3034e-04 6.0097e-04 4.3581e-04 3.8077e-04 2.8291e-04 2.2684e-04 1.7587e-04 1.4329e-04 1.0394e-04 8.5713e-05 6.5440e-05 4.8396e-05 4.3886e-05 2.8769e-05 2.4293e-05 2.2520e-05 1.8165e-05 1.5955e-05 1.4431e-05 1.3999e-05 1.3106e-05 1.3727e-05 1.3619e-05 1.2717e-05 1.3961e-05 1.3710e-05 1.3584e-05 1.3842e-05 1.3773e-05 1.3728e-05 1.3690e-05 1.3674e-05 1.3673e-05 1.3667e-05 1.3653e-05 1.3658e-05 1.3648e-05 1.3649e-05 1.3648e-05 1.3654e-05 1.3649e-05 1.3643e-05 1.3645e-05 1.3646e-05 1.3649e-05 1.3658e-05 1.3639e-05 1.3655e-05 1.3647e-05 1.3649e-05 1.3655e-05 1.3653e-05 1.3651e-05 1.3643e-05 1.3642e-05 1.3647e-05 1.3654e-05 1.3653e-05 1.3648e-05 1.3644e-05 1.3650e-05 1.3651e-05 1.3650e-05 1.3656e-05 1.3652e-05 1.3652e-05 1.3644e-05 1.3645e-05 1.3655e-05 1.3654e-05 1.3653e-05 1.3646e-05 1.3646e-05 1.3653e-05 4.3421e-03 2.9667e-03 2.5947e-03 1.9764e-03 1.5459e-03 1.1971e-03 9.7776e-04 7.4734e-04 5.9077e-04 4.4773e-04 3.6591e-04 2.8914e-04 2.1007e-04 1.7539e-04 1.1890e-04 1.1483e-04 7.7316e-05 6.5945e-05 5.2789e-05 4.1419e-05 3.2631e-05 2.2785e-05 1.8801e-05 1.9088e-05 1.4493e-05 1.4444e-05 1.4904e-05 1.4134e-05 1.3187e-05 1.3944e-05 1.3117e-05 1.4039e-05 1.2922e-05 1.2809e-05 1.2881e-05 1.2826e-05 1.2791e-05 1.2759e-05 1.2746e-05 1.2748e-05 1.2743e-05 1.2730e-05 1.2736e-05 1.2726e-05 1.2727e-05 1.2726e-05 1.2733e-05 1.2727e-05 1.2721e-05 1.2724e-05 1.2725e-05 1.2727e-05 1.2737e-05 1.2717e-05 1.2734e-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 1.2730e-05 1.2729e-05 1.2735e-05 1.2731e-05 1.2731e-05 1.2723e-05 1.2724e-05 1.2734e-05 1.2733e-05 1.2732e-05 1.2725e-05 1.2725e-05 1.2732e-05 4.0258e-03 2.8853e-03 2.4921e-03 1.9794e-03 1.4312e-03 1.2280e-03 9.4062e-04 7.2394e-04 5.0773e-04 4.6487e-04 3.4197e-04 2.8541e-04 2.0654e-04 1.7926e-04 1.3509e-04 1.1495e-04 8.2747e-05 6.5395e-05 5.0551e-05 3.5272e-05 3.4049e-05 2.5543e-05 1.9596e-05 1.6173e-05 1.5320e-05 1.5441e-05 1.3785e-05 1.2336e-05 1.3014e-05 1.3509e-05 1.2457e-05 1.3331e-05 1.3053e-05 1.2907e-05 1.2825e-05 1.2772e-05 1.2737e-05 1.2706e-05 1.2693e-05 1.2695e-05 1.2690e-05 1.2677e-05 1.2683e-05 1.2673e-05 1.2674e-05 1.2673e-05 1.2680e-05 1.2674e-05 1.2669e-05 1.2671e-05 1.2672e-05 1.2675e-05 1.2684e-05 1.2664e-05 1.2681e-05 1.2673e-05 1.2675e-05 1.2681e-05 1.2679e-05 1.2677e-05 1.2669e-05 1.2667e-05 1.2673e-05 1.2680e-05 1.2679e-05 1.2674e-05 1.2670e-05 1.2676e-05 1.2677e-05 1.2676e-05 1.2682e-05 1.2678e-05 1.2678e-05 1.2670e-05 1.2671e-05 1.2681e-05 1.2680e-05 1.2679e-05 1.2672e-05 1.2672e-05 1.2679e-05 3.4578e-03 3.0327e-03 2.3994e-03 1.9448e-03 1.5223e-03 1.2597e-03 9.2282e-04 7.5240e-04 5.6663e-04 4.5036e-04 3.4480e-04 2.8148e-04 2.2229e-04 1.8545e-04 1.3450e-04 9.1064e-05 7.9993e-05 5.6895e-05 5.0584e-05 3.8171e-05 3.2919e-05 2.5022e-05 1.9188e-05 1.7068e-05 1.5973e-05 1.3023e-05 1.3011e-05 1.2986e-05 1.2809e-05 1.2567e-05 1.2892e-05 1.3275e-05 1.3011e-05 1.2876e-05 1.2801e-05 1.2753e-05 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