# # # 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) 7 # atomic number Z # # This table gives pure Bethe-Heitler-Elwert thermally averaged Gaunt factors. # # Each row gives Gaunt factors for a constant value of log(u) # the first value is for log(gam2) = -6, the second for log(gam2) = -5.8, etc. # # Each column gives Gaunt factors for a constant value of log(gam2) # the first value is for log(u) = -16, the second for log(u) = -15.8, etc. # 1.14943397e+03 9.03897918e+02 7.10739431e+02 5.58799916e+02 4.39294953e+02 3.45310668e+02 2.71405305e+02 2.13297696e+02 1.67620801e+02 1.31729956e+02 1.03553190e+02 8.14765819e+01 6.42575134e+01 5.09578012e+01 4.08834890e+01 3.35126182e+01 2.84015305e+01 2.50982845e+01 2.31213282e+01 2.20164864e+01 2.14277500e+01 2.11205574e+01 2.09596503e+01 2.08734952e+01 2.08259042e+01 2.07987465e+01 2.07828026e+01 2.07732298e+01 2.07673859e+01 2.07637777e+01 2.07615330e+01 2.07601292e+01 2.07592485e+01 2.07586950e+01 2.07583463e+01 2.07581269e+01 2.07579884e+01 2.07579012e+01 2.07578461e+01 2.07578114e+01 2.07577895e+01 2.07577755e+01 2.07577670e+01 2.07577614e+01 2.07577578e+01 2.07577558e+01 2.07577543e+01 2.07577535e+01 2.07577530e+01 2.07577525e+01 2.07577525e+01 2.07577523e+01 2.07577522e+01 2.07577524e+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 2.07577518e+01 2.07577521e+01 2.07577522e+01 2.07577521e+01 2.07577520e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577524e+01 2.07577523e+01 2.07577519e+01 2.07577521e+01 2.07577518e+01 2.07577522e+01 2.07577524e+01 2.07577521e+01 2.07577519e+01 2.07577520e+01 1.13794009e+03 8.94768052e+02 7.03487377e+02 5.53039353e+02 4.34719190e+02 3.41675928e+02 2.68518128e+02 2.11004157e+02 1.65798732e+02 1.30282148e+02 1.02402208e+02 8.05605003e+01 6.35264368e+01 5.03709137e+01 4.04067373e+01 3.31169975e+01 2.80624964e+01 2.47959758e+01 2.28410541e+01 2.17485493e+01 2.11663866e+01 2.08626248e+01 2.07035099e+01 2.06183148e+01 2.05712515e+01 2.05443985e+01 2.05286319e+01 2.05191650e+01 2.05133851e+01 2.05098168e+01 2.05075969e+01 2.05062086e+01 2.05053377e+01 2.05047903e+01 2.05044454e+01 2.05042284e+01 2.05040915e+01 2.05040052e+01 2.05039508e+01 2.05039164e+01 2.05038947e+01 2.05038810e+01 2.05038725e+01 2.05038670e+01 2.05038634e+01 2.05038615e+01 2.05038600e+01 2.05038592e+01 2.05038586e+01 2.05038582e+01 2.05038582e+01 2.05038579e+01 2.05038579e+01 2.05038580e+01 2.05038578e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038575e+01 2.05038578e+01 2.05038579e+01 2.05038578e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038581e+01 2.05038580e+01 2.05038576e+01 2.05038577e+01 2.05038575e+01 2.05038578e+01 2.05038581e+01 2.05038578e+01 2.05038576e+01 2.05038577e+01 1.12644624e+03 8.85638018e+02 6.96235232e+02 5.47278719e+02 4.30143435e+02 3.38041229e+02 2.65630889e+02 2.08710650e+02 1.63976670e+02 1.28834353e+02 1.01251228e+02 7.96444178e+01 6.27953512e+01 4.97840318e+01 3.99299772e+01 3.27213866e+01 2.77234631e+01 2.44936658e+01 2.25607811e+01 2.14806088e+01 2.09050224e+01 2.06046913e+01 2.04473698e+01 2.03631324e+01 2.03165998e+01 2.02900481e+01 2.02744582e+01 2.02650973e+01 2.02593828e+01 2.02558543e+01 2.02536592e+01 2.02522852e+01 2.02514240e+01 2.02508827e+01 2.02505417e+01 2.02503271e+01 2.02501917e+01 2.02501064e+01 2.02500526e+01 2.02500186e+01 2.02499972e+01 2.02499835e+01 2.02499752e+01 2.02499697e+01 2.02499662e+01 2.02499643e+01 2.02499628e+01 2.02499620e+01 2.02499615e+01 2.02499611e+01 2.02499610e+01 2.02499608e+01 2.02499607e+01 2.02499609e+01 2.02499606e+01 2.02499606e+01 2.02499604e+01 2.02499606e+01 2.02499607e+01 2.02499607e+01 2.02499606e+01 2.02499606e+01 2.02499606e+01 2.02499603e+01 2.02499606e+01 2.02499608e+01 2.02499606e+01 2.02499605e+01 2.02499605e+01 2.02499604e+01 2.02499607e+01 2.02499609e+01 2.02499609e+01 2.02499604e+01 2.02499606e+01 2.02499603e+01 2.02499607e+01 2.02499610e+01 2.02499606e+01 2.02499604e+01 2.02499606e+01 1.11495242e+03 8.76508325e+02 6.88983097e+02 5.41518147e+02 4.25567645e+02 3.34406475e+02 2.62743676e+02 2.06417104e+02 1.62154595e+02 1.27386536e+02 1.00100242e+02 7.87283401e+01 6.20642695e+01 4.91971467e+01 3.94532188e+01 3.23257702e+01 2.73844315e+01 2.41913565e+01 2.22805088e+01 2.12126714e+01 2.06436598e+01 2.03467576e+01 2.01912332e+01 2.01079538e+01 2.00619498e+01 2.00356995e+01 2.00202863e+01 2.00110314e+01 2.00053815e+01 2.00018931e+01 1.99997209e+01 1.99983637e+01 1.99975122e+01 1.99969771e+01 1.99966400e+01 1.99964278e+01 1.99962939e+01 1.99962096e+01 1.99961564e+01 1.99961227e+01 1.99961016e+01 1.99960881e+01 1.99960799e+01 1.99960744e+01 1.99960710e+01 1.99960690e+01 1.99960676e+01 1.99960668e+01 1.99960663e+01 1.99960659e+01 1.99960658e+01 1.99960656e+01 1.99960656e+01 1.99960657e+01 1.99960655e+01 1.99960654e+01 1.99960653e+01 1.99960654e+01 1.99960655e+01 1.99960655e+01 1.99960654e+01 1.99960654e+01 1.99960654e+01 1.99960651e+01 1.99960654e+01 1.99960656e+01 1.99960654e+01 1.99960653e+01 1.99960653e+01 1.99960652e+01 1.99960655e+01 1.99960657e+01 1.99960657e+01 1.99960652e+01 1.99960654e+01 1.99960651e+01 1.99960655e+01 1.99960658e+01 1.99960655e+01 1.99960652e+01 1.99960654e+01 1.10345852e+03 8.67378378e+02 6.81730943e+02 5.35757608e+02 4.20991795e+02 3.30771800e+02 2.59856462e+02 2.04123583e+02 1.60332554e+02 1.25938738e+02 9.89492746e+01 7.78122639e+01 6.13331973e+01 4.86102634e+01 3.89764627e+01 3.19301573e+01 2.70453990e+01 2.38890419e+01 2.20002336e+01 2.09447312e+01 2.03822992e+01 2.00888229e+01 1.99350885e+01 1.98527700e+01 1.98072968e+01 1.97813454e+01 1.97661092e+01 1.97569605e+01 1.97513760e+01 1.97479278e+01 1.97457824e+01 1.97444407e+01 1.97435990e+01 1.97430700e+01 1.97427367e+01 1.97425269e+01 1.97423946e+01 1.97423112e+01 1.97422586e+01 1.97422254e+01 1.97422044e+01 1.97421911e+01 1.97421830e+01 1.97421776e+01 1.97421742e+01 1.97421723e+01 1.97421709e+01 1.97421701e+01 1.97421695e+01 1.97421691e+01 1.97421691e+01 1.97421689e+01 1.97421688e+01 1.97421690e+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 1.97421684e+01 1.97421687e+01 1.97421688e+01 1.97421687e+01 1.97421686e+01 1.97421686e+01 1.97421685e+01 1.97421687e+01 1.97421690e+01 1.97421689e+01 1.97421685e+01 1.97421687e+01 1.97421684e+01 1.97421688e+01 1.97421690e+01 1.97421687e+01 1.97421685e+01 1.97421686e+01 1.09196473e+03 8.58248552e+02 6.74478924e+02 5.29996995e+02 4.16416049e+02 3.27137087e+02 2.56969232e+02 2.01830056e+02 1.58510480e+02 1.24490906e+02 9.77982814e+01 7.68961795e+01 6.06021092e+01 4.80233867e+01 3.84997046e+01 3.15345386e+01 2.67063687e+01 2.35867315e+01 2.17199648e+01 2.06767984e+01 2.01209335e+01 1.98308888e+01 1.96789522e+01 1.95975924e+01 1.95526463e+01 1.95269993e+01 1.95119393e+01 1.95028948e+01 1.94973744e+01 1.94939653e+01 1.94918447e+01 1.94905186e+01 1.94896866e+01 1.94891637e+01 1.94888342e+01 1.94886269e+01 1.94884961e+01 1.94884137e+01 1.94883617e+01 1.94883289e+01 1.94883082e+01 1.94882950e+01 1.94882870e+01 1.94882816e+01 1.94882783e+01 1.94882764e+01 1.94882750e+01 1.94882742e+01 1.94882737e+01 1.94882733e+01 1.94882732e+01 1.94882730e+01 1.94882730e+01 1.94882731e+01 1.94882729e+01 1.94882728e+01 1.94882727e+01 1.94882729e+01 1.94882729e+01 1.94882729e+01 1.94882728e+01 1.94882729e+01 1.94882729e+01 1.94882726e+01 1.94882729e+01 1.94882730e+01 1.94882729e+01 1.94882728e+01 1.94882728e+01 1.94882727e+01 1.94882729e+01 1.94882732e+01 1.94882731e+01 1.94882727e+01 1.94882728e+01 1.94882726e+01 1.94882729e+01 1.94882732e+01 1.94882729e+01 1.94882727e+01 1.94882728e+01 1.08047098e+03 8.49118497e+02 6.67226744e+02 5.24236445e+02 4.11840210e+02 3.23502331e+02 2.54082023e+02 1.99536511e+02 1.56688422e+02 1.23043128e+02 9.66472944e+01 7.59800927e+01 5.98710296e+01 4.74364948e+01 3.80229512e+01 3.11389277e+01 2.63673333e+01 2.32844205e+01 2.14396894e+01 2.04088570e+01 1.98595725e+01 1.95729559e+01 1.94228118e+01 1.93424112e+01 1.92979947e+01 1.92726468e+01 1.92577653e+01 1.92488263e+01 1.92433706e+01 1.92400019e+01 1.92379061e+01 1.92365955e+01 1.92357733e+01 1.92352565e+01 1.92349309e+01 1.92347260e+01 1.92345968e+01 1.92345153e+01 1.92344639e+01 1.92344314e+01 1.92344110e+01 1.92343980e+01 1.92343900e+01 1.92343848e+01 1.92343814e+01 1.92343796e+01 1.92343782e+01 1.92343774e+01 1.92343769e+01 1.92343765e+01 1.92343764e+01 1.92343763e+01 1.92343762e+01 1.92343763e+01 1.92343761e+01 1.92343760e+01 1.92343759e+01 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4.34598210e-01 3.65548991e-01 3.61780617e-01 3.94404598e-01 4.50046849e-01 5.21699742e-01 6.04574535e-01 6.94126652e-01 7.85192237e-01 1.00717265e+25 7.45775020e+24 5.49304666e+24 4.02115126e+24 2.92251155e+24 2.10593066e+24 1.50196919e+24 1.05786492e+24 7.33622212e+23 4.99001639e+23 3.31203585e+23 2.13077640e+23 1.31731016e+23 7.74360135e+22 4.27666892e+22 2.19387833e+22 1.03757926e+22 4.52540565e+21 1.83782201e+21 7.06654663e+20 2.62205210e+20 9.55252021e+19 3.46369050e+19 1.26209762e+19 4.65006917e+18 1.73803045e+18 6.59579227e+17 2.53895319e+17 9.89076319e+16 3.88800560e+16 1.53770657e+16 6.10374479e+15 2.42731729e+15 9.66052869e+14 3.84583136e+14 1.53110485e+14 6.09563916e+13 2.42677304e+13 9.66129926e+12 3.84626843e+12 1.53123622e+12 6.09598519e+11 2.42686208e+11 9.66153243e+10 3.84633290e+10 1.53125615e+10 6.09605878e+09 2.42689539e+09 9.66170973e+08 3.84643650e+08 1.53131943e+08 6.09645282e+07 2.42714268e+07 9.66326672e+06 3.84741788e+06 1.53193829e+06 6.10035590e+05 2.42960420e+05 9.67878783e+04 3.85720240e+04 1.53810423e+04 6.13919358e+03 2.45405223e+03 9.83257622e+02 3.95387071e+02 1.59883752e+02 6.52088604e+01 2.69452530e+01 1.13585155e+01 4.93854439e+00 2.25645854e+00 1.11938449e+00 6.34621411e-01 4.34598201e-01 3.65548994e-01 3.61780612e-01 3.94404605e-01 4.50046855e-01 5.21699734e-01 6.04574528e-01 6.94126656e-01 2.52990332e+25 1.87330215e+25 1.37979094e+25 1.01006753e+25 7.34101711e+24 5.28985864e+24 3.77277603e+24 2.65723654e+24 1.84277568e+24 1.25343545e+24 8.31945791e+23 5.35226833e+23 3.30893351e+23 1.94510472e+23 1.07425066e+23 5.51077321e+22 2.60628126e+22 1.13673051e+22 4.61640016e+21 1.77503626e+21 6.58629710e+20 2.39948459e+20 8.70039717e+19 3.17024588e+19 1.16804456e+19 4.36573511e+18 1.65678811e+18 6.37756207e+17 2.48444738e+17 9.76622851e+16 3.86254427e+16 1.53319137e+16 6.09714535e+15 2.42661508e+15 9.66029152e+14 3.84596143e+14 1.53115529e+14 6.09577801e+13 2.42680849e+13 9.66138848e+12 3.84629086e+12 1.53124185e+12 6.09599940e+11 2.42686562e+11 9.66154132e+10 3.84633518e+10 1.53125671e+10 6.09606021e+09 2.42689574e+09 9.66171058e+08 3.84643675e+08 1.53131949e+08 6.09645298e+07 2.42714274e+07 9.66326672e+06 3.84741789e+06 1.53193829e+06 6.10035597e+05 2.42960421e+05 9.67878786e+04 3.85720238e+04 1.53810423e+04 6.13919358e+03 2.45405220e+03 9.83257637e+02 3.95387074e+02 1.59883751e+02 6.52088601e+01 2.69452530e+01 1.13585154e+01 4.93854445e+00 2.25645857e+00 1.11938449e+00 6.34621398e-01 4.34598204e-01 3.65548989e-01 3.61780619e-01 3.94404610e-01 4.50046848e-01 5.21699728e-01 6.04574532e-01 6.35482983e+25 4.70552226e+25 3.46587813e+25 2.53717492e+25 1.84398013e+25 1.32875242e+25 9.47678492e+24 6.67467641e+24 4.62884323e+24 3.14848749e+24 2.08975334e+24 1.34442902e+24 8.31166518e+23 4.88588215e+23 2.69839567e+23 1.38424365e+23 6.54668253e+22 2.85533793e+22 1.15958729e+22 4.45868949e+21 1.65440303e+21 6.02723279e+20 2.18544096e+20 7.96329760e+19 2.93399529e+19 1.09662308e+19 4.16166358e+18 1.60197116e+18 6.24064967e+17 2.45316569e+17 9.70227254e+16 3.85120258e+16 1.53153366e+16 6.09538146e+15 2.42655550e+15 9.66061824e+14 3.84608813e+14 1.53119017e+14 6.09586707e+13 2.42683090e+13 9.66144480e+12 3.84630498e+12 1.53124542e+12 6.09600829e+11 2.42686785e+11 9.66154704e+10 3.84633657e+10 1.53125707e+10 6.09606110e+09 2.42689596e+09 9.66171122e+08 3.84643688e+08 1.53131952e+08 6.09645312e+07 2.42714274e+07 9.66326674e+06 3.84741789e+06 1.53193831e+06 6.10035599e+05 2.42960421e+05 9.67878780e+04 3.85720239e+04 1.53810423e+04 6.13919349e+03 2.45405223e+03 9.83257644e+02 3.95387072e+02 1.59883750e+02 6.52088601e+01 2.69452529e+01 1.13585156e+01 4.93854452e+00 2.25645856e+00 1.11938446e+00 6.34621402e-01 4.34598198e-01 3.65548996e-01 3.61780624e-01 3.94404604e-01 4.50046843e-01 5.21699732e-01 1.59626108e+26 1.18197375e+26 8.70589226e+25 6.37309526e+25 4.63186866e+25 3.33767516e+25 2.38046074e+25 1.67660291e+25 1.16271285e+25 7.90864301e+24 5.24922307e+24 3.37705301e+24 2.08779590e+24 1.22727811e+24 6.77806346e+23 3.47706283e+23 1.64445230e+23 7.17228461e+22 2.91275159e+22 1.11997216e+22 4.15567253e+21 1.51397243e+21 5.48957950e+20 2.00028992e+20 7.36986297e+19 2.75459263e+19 1.04536263e+19 4.02396963e+18 1.56758032e+18 6.16207360e+17 2.43710067e+17 9.67378351e+16 3.84703862e+16 1.53109059e+16 6.09523182e+15 2.42663757e+15 9.66093649e+14 3.84617574e+14 1.53121254e+14 6.09592336e+13 2.42684505e+13 9.66148028e+12 3.84631395e+12 1.53124765e+12 6.09601389e+11 2.42686929e+11 9.66155054e+10 3.84633748e+10 1.53125729e+10 6.09606163e+09 2.42689612e+09 9.66171154e+08 3.84643697e+08 1.53131956e+08 6.09645312e+07 2.42714275e+07 9.66326673e+06 3.84741793e+06 1.53193831e+06 6.10035600e+05 2.42960420e+05 9.67878784e+04 3.85720239e+04 1.53810421e+04 6.13919358e+03 2.45405225e+03 9.83257638e+02 3.95387070e+02 1.59883750e+02 6.52088597e+01 2.69452532e+01 1.13585157e+01 4.93854449e+00 2.25645852e+00 1.11938447e+00 6.34621394e-01 4.34598206e-01 3.65549001e-01 3.61780618e-01 3.94404600e-01 4.50046846e-01 4.00962655e+26 2.96898383e+26 2.18682126e+26 1.60084915e+26 1.16347280e+26 8.38386095e+25 5.97944705e+25 4.21143611e+25 2.92060263e+25 1.98656131e+25 1.31854522e+25 8.48277363e+24 5.24430619e+24 3.08278322e+24 1.70257256e+24 8.73398695e+23 4.13067743e+23 1.80159644e+23 7.31650119e+22 2.81324288e+22 1.04385774e+22 3.80292679e+21 1.37892002e+21 5.02450111e+20 1.85122588e+20 6.91922385e+19 2.62583220e+19 1.01077547e+19 3.93758374e+18 1.54784291e+18 6.12172011e+17 2.42994455e+17 9.66332410e+16 3.84592568e+16 1.53105301e+16 6.09543796e+15 2.42671751e+15 9.66115655e+14 3.84623193e+14 1.53122668e+14 6.09595890e+13 2.42685396e+13 9.66150280e+12 3.84631955e+12 1.53124906e+12 6.09601750e+11 2.42687017e+11 9.66155282e+10 3.84633804e+10 1.53125743e+10 6.09606204e+09 2.42689620e+09 9.66171179e+08 3.84643707e+08 1.53131956e+08 6.09645314e+07 2.42714274e+07 9.66326685e+06 3.84741794e+06 1.53193832e+06 6.10035597e+05 2.42960421e+05 9.67878784e+04 3.85720233e+04 1.53810423e+04 6.13919363e+03 2.45405224e+03 9.83257633e+02 3.95387070e+02 1.59883749e+02 6.52088605e+01 2.69452536e+01 1.13585157e+01 4.93854439e+00 2.25645853e+00 1.11938446e+00 6.34621406e-01 4.34598212e-01 3.65548995e-01 3.61780614e-01 3.94404602e-01 1.00717265e+27 7.45775020e+26 5.49304666e+26 4.02115126e+26 2.92251155e+26 2.10593066e+26 1.50196919e+26 1.05786492e+26 7.33622212e+25 4.99001639e+25 3.31203585e+25 2.13077640e+25 1.31731016e+25 7.74360135e+24 4.27666892e+24 2.19387833e+24 1.03757926e+24 4.52540565e+23 1.83782201e+23 7.06654663e+22 2.62205210e+22 9.55252021e+21 3.46369050e+21 1.26209762e+21 4.65006917e+20 1.73803045e+20 6.59579227e+19 2.53895319e+19 9.89076317e+18 3.88800559e+18 1.53770657e+18 6.10374475e+17 2.42731727e+17 9.66052853e+16 3.84583127e+16 1.53110479e+16 6.09563877e+15 2.42677279e+15 9.66129770e+14 3.84626745e+14 1.53123560e+14 6.09598129e+13 2.42685962e+13 9.66151688e+12 3.84632309e+12 1.53124996e+12 6.09601971e+11 2.42687074e+11 9.66155422e+10 3.84633838e+10 1.53125753e+10 6.09606224e+09 2.42689626e+09 9.66171202e+08 3.84643706e+08 1.53131956e+08 6.09645313e+07 2.42714277e+07 9.66326687e+06 3.84741795e+06 1.53193831e+06 6.10035599e+05 2.42960421e+05 9.67878769e+04 3.85720239e+04 1.53810424e+04 6.13919359e+03 2.45405222e+03 9.83257633e+02 3.95387068e+02 1.59883751e+02 6.52088614e+01 2.69452535e+01 1.13585154e+01 4.93854443e+00 2.25645850e+00 1.11938448e+00 6.34621414e-01 4.34598206e-01 3.65548991e-01 3.61780616e-01 2.52990332e+27 1.87330215e+27 1.37979094e+27 1.01006753e+27 7.34101711e+26 5.28985864e+26 3.77277603e+26 2.65723654e+26 1.84277568e+26 1.25343545e+26 8.31945791e+25 5.35226833e+25 3.30893351e+25 1.94510472e+25 1.07425066e+25 5.51077321e+24 2.60628126e+24 1.13673051e+24 4.61640016e+23 1.77503626e+23 6.58629710e+22 2.39948459e+22 8.70039717e+21 3.17024588e+21 1.16804456e+21 4.36573511e+20 1.65678811e+20 6.37756207e+19 2.48444738e+19 9.76622850e+18 3.86254426e+18 1.53319136e+18 6.09714531e+17 2.42661505e+17 9.66029136e+16 3.84596133e+16 1.53115523e+16 6.09577762e+15 2.42680824e+15 9.66138693e+14 3.84628987e+14 1.53124123e+14 6.09599549e+13 2.42686316e+13 9.66152577e+12 3.84632537e+12 1.53125052e+12 6.09602115e+11 2.42687109e+11 9.66155508e+10 3.84633863e+10 1.53125758e+10 6.09606239e+09 2.42689632e+09 9.66171201e+08 3.84643707e+08 1.53131956e+08 6.09645320e+07 2.42714278e+07 9.66326690e+06 3.84741793e+06 1.53193831e+06 6.10035599e+05 2.42960417e+05 9.67878784e+04 3.85720242e+04 1.53810423e+04 6.13919356e+03 2.45405222e+03 9.83257628e+02 3.95387072e+02 1.59883753e+02 6.52088611e+01 2.69452529e+01 1.13585155e+01 4.93854436e+00 2.25645855e+00 1.11938449e+00 6.34621404e-01 4.34598201e-01 3.65548993e-01 6.35482983e+27 4.70552226e+27 3.46587813e+27 2.53717492e+27 1.84398013e+27 1.32875242e+27 9.47678492e+26 6.67467641e+26 4.62884323e+26 3.14848749e+26 2.08975334e+26 1.34442902e+26 8.31166518e+25 4.88588215e+25 2.69839567e+25 1.38424365e+25 6.54668253e+24 2.85533793e+24 1.15958729e+24 4.45868949e+23 1.65440303e+23 6.02723279e+22 2.18544096e+22 7.96329760e+21 2.93399529e+21 1.09662308e+21 4.16166358e+20 1.60197116e+20 6.24064967e+19 2.45316568e+19 9.70227252e+18 3.85120258e+18 1.53153366e+18 6.09538142e+17 2.42655548e+17 9.66061808e+16 3.84608803e+16 1.53119010e+16 6.09586668e+15 2.42683066e+15 9.66144325e+14 3.84630400e+14 1.53124480e+14 6.09600438e+13 2.42686539e+13 9.66153148e+12 3.84632676e+12 1.53125088e+12 6.09602204e+11 2.42687131e+11 9.66155571e+10 3.84633876e+10 1.53125762e+10 6.09606254e+09 2.42689631e+09 9.66171204e+08 3.84643707e+08 1.53131958e+08 6.09645322e+07 2.42714279e+07 9.66326684e+06 3.84741795e+06 1.53193832e+06 6.10035590e+05 2.42960421e+05 9.67878791e+04 3.85720239e+04 1.53810423e+04 6.13919356e+03 2.45405221e+03 9.83257639e+02 3.95387078e+02 1.59883753e+02 6.52088597e+01 2.69452531e+01 1.13585154e+01 4.93854445e+00 2.25645858e+00 1.11938447e+00 6.34621397e-01 4.34598204e-01 # # uncertainties in the thermally averaged relativistic Gaunt factors 8.2162e-04 6.2942e-04 5.1291e-04 3.8190e-04 2.9200e-04 2.3624e-04 1.9496e-04 1.4788e-04 1.1610e-04 9.5391e-05 7.2487e-05 6.0454e-05 4.5385e-05 3.3068e-05 2.9744e-05 2.3058e-05 2.0066e-05 1.8242e-05 1.5261e-05 1.5482e-05 1.4667e-05 1.4870e-05 1.4738e-05 1.5083e-05 1.4954e-05 1.6196e-05 1.5748e-05 1.5653e-05 1.5571e-05 1.5526e-05 1.5505e-05 1.5486e-05 1.5477e-05 1.5484e-05 1.5463e-05 1.5464e-05 1.5460e-05 1.5457e-05 1.5456e-05 1.5458e-05 1.5460e-05 1.5456e-05 1.5473e-05 1.5460e-05 1.5455e-05 1.5460e-05 1.5456e-05 1.5469e-05 1.5468e-05 1.5465e-05 1.5457e-05 1.5459e-05 1.5461e-05 1.5468e-05 1.5465e-05 1.5462e-05 1.5458e-05 1.5463e-05 1.5465e-05 1.5459e-05 1.5471e-05 1.5467e-05 1.5464e-05 1.5444e-05 1.5463e-05 1.5465e-05 1.5469e-05 1.5463e-05 1.5450e-05 1.5452e-05 1.5468e-05 1.5483e-05 1.5474e-05 1.5454e-05 1.5461e-05 1.5446e-05 1.5472e-05 1.5479e-05 1.5471e-05 1.5454e-05 1.5451e-05 7.8809e-04 6.1154e-04 4.3990e-04 3.6904e-04 3.1659e-04 2.4544e-04 1.9225e-04 1.5531e-04 1.1801e-04 9.2945e-05 7.1066e-05 5.6634e-05 4.4906e-05 3.6005e-05 2.6142e-05 2.4169e-05 1.9857e-05 1.7280e-05 1.6219e-05 1.5255e-05 1.5088e-05 1.5042e-05 1.5451e-05 1.5072e-05 1.5848e-05 1.4883e-05 1.4722e-05 1.4654e-05 1.5199e-05 1.5147e-05 1.5122e-05 1.5100e-05 1.5090e-05 1.5095e-05 1.5074e-05 1.5074e-05 1.5070e-05 1.5067e-05 1.5066e-05 1.5068e-05 1.5070e-05 1.5066e-05 1.5083e-05 1.5070e-05 1.5065e-05 1.5070e-05 1.5066e-05 1.5079e-05 1.5078e-05 1.5075e-05 1.5067e-05 1.5068e-05 1.5071e-05 1.5078e-05 1.5075e-05 1.5071e-05 1.5068e-05 1.5072e-05 1.5075e-05 1.5069e-05 1.5081e-05 1.5077e-05 1.5074e-05 1.5054e-05 1.5073e-05 1.5075e-05 1.5079e-05 1.5073e-05 1.5060e-05 1.5062e-05 1.5078e-05 1.5093e-05 1.5084e-05 1.5064e-05 1.5071e-05 1.5056e-05 1.5082e-05 1.5089e-05 1.5081e-05 1.5064e-05 1.5061e-05 7.9861e-04 6.2923e-04 4.8516e-04 3.9611e-04 3.0382e-04 2.4271e-04 1.9189e-04 1.2934e-04 1.1696e-04 8.4241e-05 7.3550e-05 5.8108e-05 4.4613e-05 3.5083e-05 2.7608e-05 2.0277e-05 2.0133e-05 1.6745e-05 1.6552e-05 1.6121e-05 1.6589e-05 1.4775e-05 1.5384e-05 1.5837e-05 1.5257e-05 1.4676e-05 1.4549e-05 1.4503e-05 1.4449e-05 1.4422e-05 1.4412e-05 1.4946e-05 1.4937e-05 1.4943e-05 1.4923e-05 1.4923e-05 1.4919e-05 1.4916e-05 1.4915e-05 1.4917e-05 1.4919e-05 1.4916e-05 1.4932e-05 1.4919e-05 1.4914e-05 1.4920e-05 1.4915e-05 1.4928e-05 1.4927e-05 1.4924e-05 1.4916e-05 1.4918e-05 1.4920e-05 1.4927e-05 1.4924e-05 1.4921e-05 1.4917e-05 1.4922e-05 1.4924e-05 1.4918e-05 1.4930e-05 1.4926e-05 1.4924e-05 1.4904e-05 1.4922e-05 1.4924e-05 1.4928e-05 1.4922e-05 1.4909e-05 1.4912e-05 1.4927e-05 1.4942e-05 1.4933e-05 1.4914e-05 1.4921e-05 1.4905e-05 1.4931e-05 1.4938e-05 1.4930e-05 1.4914e-05 1.4911e-05 7.9433e-04 5.6064e-04 5.0388e-04 3.5576e-04 2.8504e-04 2.2463e-04 1.8160e-04 1.4804e-04 1.2493e-04 9.0923e-05 7.1212e-05 5.5422e-05 4.3717e-05 3.4623e-05 2.7930e-05 2.1818e-05 1.8540e-05 1.5439e-05 1.5622e-05 1.5476e-05 1.5585e-05 1.4752e-05 1.4311e-05 1.5139e-05 1.4727e-05 1.3916e-05 1.3748e-05 1.3676e-05 1.3606e-05 1.3568e-05 1.5001e-05 1.4978e-05 1.4967e-05 1.4971e-05 1.4951e-05 1.4950e-05 1.4946e-05 1.4943e-05 1.4942e-05 1.4944e-05 1.4946e-05 1.4942e-05 1.4958e-05 1.4946e-05 1.4941e-05 1.4946e-05 1.4942e-05 1.4954e-05 1.4953e-05 1.4951e-05 1.4943e-05 1.4944e-05 1.4946e-05 1.4954e-05 1.4950e-05 1.4947e-05 1.4944e-05 1.4948e-05 1.4951e-05 1.4945e-05 1.4956e-05 1.4953e-05 1.4950e-05 1.4931e-05 1.4948e-05 1.4951e-05 1.4955e-05 1.4949e-05 1.4936e-05 1.4938e-05 1.4953e-05 1.4968e-05 1.4959e-05 1.4940e-05 1.4947e-05 1.4932e-05 1.4957e-05 1.4964e-05 1.4957e-05 1.4940e-05 1.4938e-05 8.5022e-04 6.1633e-04 4.9663e-04 3.7474e-04 3.0473e-04 2.3415e-04 1.8664e-04 1.4054e-04 1.0836e-04 8.7685e-05 6.2845e-05 5.3373e-05 3.8348e-05 3.4536e-05 2.7725e-05 2.1039e-05 1.8167e-05 1.5952e-05 1.5570e-05 1.5678e-05 1.4236e-05 1.4664e-05 1.5250e-05 1.5094e-05 1.5092e-05 1.5426e-05 1.5221e-05 1.5125e-05 1.5403e-05 1.5286e-05 1.5268e-05 1.5251e-05 1.5244e-05 1.5250e-05 1.5231e-05 1.5232e-05 1.5228e-05 1.5225e-05 1.5225e-05 1.5226e-05 1.5228e-05 1.5225e-05 1.5240e-05 1.5229e-05 1.5224e-05 1.5229e-05 1.5225e-05 1.5237e-05 1.5236e-05 1.5233e-05 1.5226e-05 1.5227e-05 1.5229e-05 1.5236e-05 1.5233e-05 1.5230e-05 1.5227e-05 1.5231e-05 1.5233e-05 1.5228e-05 1.5239e-05 1.5235e-05 1.5233e-05 1.5214e-05 1.5231e-05 1.5234e-05 1.5237e-05 1.5232e-05 1.5219e-05 1.5222e-05 1.5236e-05 1.5250e-05 1.5241e-05 1.5224e-05 1.5230e-05 1.5216e-05 1.5239e-05 1.5246e-05 1.5239e-05 1.5223e-05 1.5221e-05 7.2663e-04 5.9567e-04 4.3768e-04 3.8311e-04 2.5410e-04 2.2217e-04 1.7640e-04 1.4579e-04 1.0962e-04 9.7492e-05 6.7323e-05 5.5088e-05 4.2599e-05 3.0193e-05 2.7706e-05 2.4326e-05 1.7667e-05 1.6432e-05 1.4453e-05 1.4065e-05 1.4632e-05 1.5283e-05 1.4732e-05 1.3766e-05 1.3769e-05 1.3781e-05 1.3924e-05 1.3873e-05 1.3818e-05 1.4210e-05 1.4197e-05 1.4184e-05 1.4178e-05 1.4186e-05 1.4167e-05 1.4169e-05 1.4165e-05 1.4163e-05 1.4162e-05 1.4164e-05 1.4166e-05 1.4163e-05 1.4178e-05 1.4166e-05 1.4162e-05 1.4167e-05 1.4162e-05 1.4175e-05 1.4174e-05 1.4171e-05 1.4164e-05 1.4165e-05 1.4167e-05 1.4174e-05 1.4171e-05 1.4168e-05 1.4164e-05 1.4169e-05 1.4171e-05 1.4165e-05 1.4177e-05 1.4173e-05 1.4171e-05 1.4151e-05 1.4169e-05 1.4172e-05 1.4175e-05 1.4170e-05 1.4157e-05 1.4159e-05 1.4174e-05 1.4188e-05 1.4179e-05 1.4161e-05 1.4168e-05 1.4153e-05 1.4178e-05 1.4185e-05 1.4177e-05 1.4161e-05 1.4158e-05 7.7649e-04 6.6547e-04 4.6289e-04 3.9391e-04 2.8524e-04 2.3491e-04 1.8020e-04 1.4147e-04 1.1499e-04 8.7235e-05 6.7435e-05 5.0359e-05 4.3533e-05 3.3376e-05 2.3307e-05 2.0531e-05 1.9211e-05 1.6261e-05 1.5406e-05 1.4929e-05 1.4595e-05 1.4250e-05 1.4746e-05 1.5084e-05 1.4220e-05 1.4458e-05 1.3494e-05 1.4756e-05 1.4664e-05 1.4612e-05 1.4586e-05 1.4565e-05 1.4554e-05 1.4558e-05 1.4539e-05 1.4538e-05 1.4534e-05 1.4531e-05 1.4530e-05 1.4532e-05 1.4534e-05 1.4531e-05 1.4546e-05 1.4534e-05 1.4530e-05 1.4534e-05 1.4530e-05 1.4542e-05 1.4541e-05 1.4539e-05 1.4531e-05 1.4533e-05 1.4535e-05 1.4542e-05 1.4538e-05 1.4535e-05 1.4532e-05 1.4536e-05 1.4539e-05 1.4533e-05 1.4544e-05 1.4540e-05 1.4538e-05 1.4520e-05 1.4536e-05 1.4539e-05 1.4542e-05 1.4537e-05 1.4525e-05 1.4527e-05 1.4541e-05 1.4555e-05 1.4546e-05 1.4529e-05 1.4535e-05 1.4521e-05 1.4545e-05 1.4552e-05 1.4544e-05 1.4529e-05 1.4526e-05 7.4437e-04 5.6780e-04 4.9713e-04 3.4509e-04 2.9401e-04 2.2693e-04 1.6901e-04 1.2239e-04 1.1211e-04 8.1280e-05 6.3209e-05 5.1813e-05 4.2178e-05 3.4317e-05 2.6729e-05 2.1832e-05 1.8942e-05 1.5059e-05 1.4516e-05 1.4500e-05 1.4607e-05 1.5563e-05 1.4133e-05 1.4270e-05 1.3897e-05 1.4430e-05 1.4212e-05 1.4108e-05 1.4023e-05 1.3975e-05 1.3952e-05 1.3932e-05 1.3923e-05 1.3928e-05 1.3908e-05 1.3908e-05 1.3904e-05 1.3901e-05 1.3901e-05 1.3902e-05 1.3904e-05 1.3901e-05 1.3916e-05 1.3904e-05 1.3900e-05 1.3905e-05 1.3900e-05 1.3912e-05 1.3911e-05 1.3909e-05 1.3902e-05 1.3903e-05 1.3905e-05 1.3912e-05 1.3909e-05 1.3906e-05 1.3902e-05 1.3907e-05 1.3909e-05 1.3903e-05 1.3914e-05 1.3911e-05 1.3908e-05 1.3890e-05 1.3907e-05 1.3909e-05 1.3913e-05 1.3907e-05 1.3895e-05 1.3897e-05 1.3912e-05 1.3925e-05 1.3917e-05 1.3899e-05 1.3906e-05 1.3891e-05 1.3915e-05 1.3922e-05 1.3915e-05 1.3899e-05 1.3896e-05 7.3065e-04 5.5082e-04 4.8111e-04 3.5359e-04 3.0385e-04 2.1886e-04 1.8177e-04 1.3941e-04 1.0948e-04 8.2858e-05 6.7757e-05 5.3756e-05 3.9051e-05 3.3915e-05 2.4558e-05 2.2941e-05 1.7507e-05 1.6231e-05 1.4126e-05 1.3957e-05 1.4151e-05 1.3440e-05 1.3622e-05 1.4395e-05 1.3474e-05 1.3300e-05 1.3191e-05 1.4473e-05 1.4378e-05 1.4324e-05 1.4296e-05 1.4274e-05 1.4263e-05 1.4266e-05 1.4247e-05 1.4246e-05 1.4242e-05 1.4239e-05 1.4238e-05 1.4240e-05 1.4241e-05 1.4238e-05 1.4253e-05 1.4241e-05 1.4237e-05 1.4242e-05 1.4238e-05 1.4249e-05 1.4248e-05 1.4246e-05 1.4239e-05 1.4240e-05 1.4242e-05 1.4249e-05 1.4245e-05 1.4243e-05 1.4239e-05 1.4244e-05 1.4246e-05 1.4241e-05 1.4251e-05 1.4248e-05 1.4245e-05 1.4227e-05 1.4244e-05 1.4246e-05 1.4249e-05 1.4244e-05 1.4232e-05 1.4235e-05 1.4248e-05 1.4261e-05 1.4253e-05 1.4236e-05 1.4243e-05 1.4229e-05 1.4252e-05 1.4258e-05 1.4251e-05 1.4236e-05 1.4234e-05 7.4084e-04 5.6609e-04 4.6254e-04 3.6681e-04 2.6105e-04 2.2782e-04 1.7525e-04 1.3515e-04 9.8995e-05 8.2209e-05 6.4623e-05 5.4164e-05 4.0013e-05 2.9599e-05 2.6768e-05 2.1619e-05 1.7812e-05 1.5734e-05 1.3516e-05 1.3803e-05 1.3502e-05 1.3694e-05 1.3657e-05 1.4334e-05 1.3295e-05 1.4306e-05 1.3941e-05 1.3854e-05 1.3780e-05 1.3739e-05 1.3720e-05 1.3702e-05 1.3694e-05 1.3700e-05 1.3681e-05 1.3682e-05 1.3678e-05 1.3675e-05 1.3675e-05 1.3676e-05 1.3678e-05 1.3675e-05 1.3690e-05 1.3678e-05 1.3674e-05 1.3679e-05 1.3675e-05 1.3686e-05 1.3685e-05 1.3683e-05 1.3676e-05 1.3677e-05 1.3679e-05 1.3686e-05 1.3683e-05 1.3680e-05 1.3676e-05 1.3681e-05 1.3683e-05 1.3678e-05 1.3688e-05 1.3685e-05 1.3682e-05 1.3664e-05 1.3681e-05 1.3683e-05 1.3687e-05 1.3681e-05 1.3669e-05 1.3672e-05 1.3685e-05 1.3699e-05 1.3691e-05 1.3673e-05 1.3680e-05 1.3666e-05 1.3689e-05 1.3696e-05 1.3688e-05 1.3673e-05 1.3671e-05 7.0879e-04 5.6605e-04 4.2694e-04 3.6045e-04 2.6848e-04 2.2071e-04 1.6869e-04 1.3928e-04 1.0482e-04 8.3331e-05 6.7404e-05 5.1086e-05 4.1345e-05 3.1862e-05 2.4071e-05 1.9518e-05 1.7647e-05 1.5309e-05 1.5569e-05 1.3837e-05 1.3345e-05 1.3044e-05 1.3352e-05 1.2676e-05 1.3919e-05 1.3696e-05 1.3563e-05 1.3834e-05 1.3756e-05 1.3713e-05 1.3692e-05 1.3673e-05 1.3665e-05 1.3670e-05 1.3651e-05 1.3651e-05 1.3648e-05 1.3645e-05 1.3644e-05 1.3646e-05 1.3648e-05 1.3645e-05 1.3659e-05 1.3648e-05 1.3644e-05 1.3648e-05 1.3644e-05 1.3655e-05 1.3654e-05 1.3652e-05 1.3645e-05 1.3646e-05 1.3648e-05 1.3655e-05 1.3652e-05 1.3649e-05 1.3646e-05 1.3650e-05 1.3652e-05 1.3647e-05 1.3657e-05 1.3654e-05 1.3652e-05 1.3634e-05 1.3650e-05 1.3652e-05 1.3656e-05 1.3651e-05 1.3639e-05 1.3641e-05 1.3655e-05 1.3668e-05 1.3660e-05 1.3643e-05 1.3649e-05 1.3635e-05 1.3658e-05 1.3665e-05 1.3658e-05 1.3643e-05 1.3640e-05 7.3427e-04 5.7436e-04 4.1155e-04 3.5624e-04 2.7861e-04 2.3850e-04 1.7087e-04 1.3387e-04 1.1211e-04 7.3592e-05 6.3111e-05 4.9641e-05 3.9851e-05 3.1060e-05 2.2598e-05 1.8096e-05 1.8298e-05 1.4832e-05 1.4587e-05 1.4288e-05 1.3960e-05 1.3897e-05 1.3842e-05 1.4502e-05 1.3992e-05 1.2910e-05 1.2789e-05 1.2874e-05 1.2811e-05 1.2776e-05 1.2761e-05 1.2746e-05 1.2740e-05 1.2746e-05 1.2728e-05 1.2729e-05 1.2726e-05 1.2723e-05 1.2723e-05 1.2724e-05 1.2726e-05 1.2723e-05 1.2738e-05 1.2727e-05 1.2722e-05 1.2727e-05 1.2723e-05 1.2734e-05 1.2734e-05 1.2731e-05 1.2724e-05 1.2725e-05 1.2727e-05 1.2734e-05 1.2731e-05 1.2728e-05 1.2724e-05 1.2729e-05 1.2731e-05 1.2726e-05 1.2736e-05 1.2733e-05 1.2731e-05 1.2712e-05 1.2729e-05 1.2731e-05 1.2735e-05 1.2730e-05 1.2717e-05 1.2720e-05 1.2734e-05 1.2747e-05 1.2739e-05 1.2721e-05 1.2728e-05 1.2714e-05 1.2737e-05 1.2744e-05 1.2737e-05 1.2721e-05 1.2719e-05 7.0463e-04 4.9594e-04 4.5224e-04 3.4297e-04 2.7774e-04 2.0357e-04 1.6634e-04 1.3152e-04 1.0623e-04 8.0335e-05 6.8545e-05 4.8771e-05 3.9839e-05 3.0655e-05 2.4972e-05 2.0593e-05 1.6377e-05 1.5230e-05 1.4613e-05 1.3627e-05 1.3457e-05 1.2908e-05 1.3472e-05 1.2415e-05 1.3286e-05 1.3036e-05 1.2885e-05 1.2819e-05 1.2756e-05 1.2723e-05 1.2707e-05 1.2693e-05 1.2687e-05 1.2693e-05 1.2675e-05 1.2676e-05 1.2673e-05 1.2670e-05 1.2670e-05 1.2671e-05 1.2673e-05 1.2670e-05 1.2685e-05 1.2674e-05 1.2669e-05 1.2674e-05 1.2670e-05 1.2681e-05 1.2680e-05 1.2678e-05 1.2671e-05 1.2672e-05 1.2674e-05 1.2681e-05 1.2678e-05 1.2675e-05 1.2672e-05 1.2676e-05 1.2678e-05 1.2673e-05 1.2683e-05 1.2680e-05 1.2678e-05 1.2660e-05 1.2676e-05 1.2678e-05 1.2682e-05 1.2677e-05 1.2665e-05 1.2667e-05 1.2681e-05 1.2694e-05 1.2686e-05 1.2669e-05 1.2675e-05 1.2661e-05 1.2684e-05 1.2691e-05 1.2684e-05 1.2669e-05 1.2666e-05 7.3151e-04 5.5087e-04 4.3704e-04 3.3510e-04 2.7312e-04 2.1650e-04 1.8061e-04 1.2884e-04 8.8776e-05 7.9696e-05 5.7600e-05 4.8841e-05 3.6675e-05 3.2116e-05 2.5531e-05 1.8643e-05 1.7120e-05 1.5482e-05 1.4680e-05 1.2936e-05 1.3182e-05 1.2739e-05 1.2820e-05 1.3226e-05 1.3232e-05 1.2995e-05 1.2855e-05 1.2795e-05 1.2738e-05 1.2708e-05 1.2694e-05 1.2681e-05 1.2676e-05 1.2683e-05 1.2666e-05 1.2667e-05 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