# # # 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) 29 # 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. # 5.05588255e+03 3.97820650e+03 3.12995706e+03 2.46234819e+03 1.93695602e+03 1.52352070e+03 1.19821446e+03 9.42274757e+02 7.40928682e+02 5.82545892e+02 4.57971002e+02 3.59997691e+02 2.82953992e+02 2.22377049e+02 1.74756913e+02 1.37335672e+02 1.07951400e+02 8.49178025e+01 6.69332520e+01 5.30111553e+01 4.24199144e+01 3.46139816e+01 2.91432811e+01 2.55612902e+01 2.33891961e+01 2.21623221e+01 2.15043626e+01 2.11604574e+01 2.09807169e+01 2.08849298e+01 2.08323174e+01 2.08024573e+01 2.07850066e+01 2.07745637e+01 2.07682053e+01 2.07642857e+01 2.07618498e+01 2.07603277e+01 2.07593733e+01 2.07587734e+01 2.07583959e+01 2.07581580e+01 2.07580081e+01 2.07579136e+01 2.07578539e+01 2.07578164e+01 2.07577928e+01 2.07577777e+01 2.07577682e+01 2.07577622e+01 2.07577583e+01 2.07577562e+01 2.07577550e+01 2.07577539e+01 2.07577531e+01 2.07577527e+01 2.07577522e+01 2.07577524e+01 2.07577524e+01 2.07577522e+01 2.07577524e+01 2.07577521e+01 2.07577520e+01 2.07577522e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577520e+01 2.07577520e+01 2.07577521e+01 2.07577521e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 5.00826586e+03 3.94038265e+03 3.09991228e+03 2.43848288e+03 1.91799917e+03 1.50846281e+03 1.18625372e+03 9.32773875e+02 7.33381730e+02 5.76551150e+02 4.53209325e+02 3.56215278e+02 2.79949431e+02 2.19990343e+02 1.72860870e+02 1.35829158e+02 1.06753883e+02 8.39649593e+01 6.61733049e+01 5.24019287e+01 4.19263063e+01 3.42062126e+01 2.87960153e+01 2.52538280e+01 2.31059349e+01 2.18927538e+01 2.12421436e+01 2.09020814e+01 2.07243428e+01 2.06296223e+01 2.05775949e+01 2.05480682e+01 2.05308109e+01 2.05204842e+01 2.05141954e+01 2.05103192e+01 2.05079102e+01 2.05064049e+01 2.05054610e+01 2.05048678e+01 2.05044945e+01 2.05042592e+01 2.05041110e+01 2.05040175e+01 2.05039584e+01 2.05039213e+01 2.05038981e+01 2.05038831e+01 2.05038737e+01 2.05038677e+01 2.05038639e+01 2.05038618e+01 2.05038606e+01 2.05038596e+01 2.05038588e+01 2.05038584e+01 2.05038579e+01 2.05038581e+01 2.05038581e+01 2.05038579e+01 2.05038581e+01 2.05038577e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038576e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038576e+01 2.05038576e+01 2.05038577e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038576e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 4.96064819e+03 3.90255902e+03 3.06986831e+03 2.41461776e+03 1.89904225e+03 1.49340489e+03 1.17429273e+03 9.23272944e+02 7.25834905e+02 5.70556472e+02 4.48447546e+02 3.52432819e+02 2.76944886e+02 2.17603680e+02 1.70964814e+02 1.34322644e+02 1.05556357e+02 8.30120970e+01 6.54133599e+01 5.17927007e+01 4.14326997e+01 3.37984410e+01 2.84487522e+01 2.49463634e+01 2.28226725e+01 2.16231855e+01 2.09799244e+01 2.06437029e+01 2.04679691e+01 2.03743127e+01 2.03228705e+01 2.02936767e+01 2.02766128e+01 2.02664017e+01 2.02601840e+01 2.02563511e+01 2.02539691e+01 2.02524793e+01 2.02515460e+01 2.02509594e+01 2.02505902e+01 2.02503575e+01 2.02502110e+01 2.02501186e+01 2.02500602e+01 2.02500235e+01 2.02500005e+01 2.02499857e+01 2.02499763e+01 2.02499705e+01 2.02499667e+01 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2.00000272e+01 1.99985556e+01 1.99976328e+01 1.99970529e+01 1.99966879e+01 1.99964579e+01 1.99963130e+01 1.99962216e+01 1.99961638e+01 1.99961276e+01 1.99961048e+01 1.99960902e+01 1.99960809e+01 1.99960752e+01 1.99960714e+01 1.99960694e+01 1.99960682e+01 1.99960672e+01 1.99960664e+01 1.99960660e+01 1.99960655e+01 1.99960657e+01 1.99960657e+01 1.99960655e+01 1.99960657e+01 1.99960654e+01 1.99960654e+01 1.99960655e+01 1.99960655e+01 1.99960653e+01 1.99960654e+01 1.99960655e+01 1.99960653e+01 1.99960653e+01 1.99960655e+01 1.99960653e+01 1.99960652e+01 1.99960654e+01 1.99960653e+01 1.99960655e+01 1.99960655e+01 1.99960653e+01 1.99960654e+01 1.99960654e+01 1.99960654e+01 4.86541351e+03 3.82691165e+03 3.00977954e+03 2.36688757e+03 1.86112871e+03 1.46328913e+03 1.15037092e+03 9.04271206e+02 7.10741138e+02 5.58567139e+02 4.38924046e+02 3.44868011e+02 2.70935827e+02 2.12830262e+02 1.67172713e+02 1.31309608e+02 1.03161321e+02 8.11063961e+01 6.38934680e+01 5.05742415e+01 4.04454835e+01 3.29828954e+01 2.77542307e+01 2.43314266e+01 2.22561530e+01 2.10840554e+01 2.04554855e+01 2.01269446e+01 1.99552160e+01 1.98636989e+01 1.98134233e+01 1.97848947e+01 1.97682149e+01 1.97582354e+01 1.97521591e+01 1.97484133e+01 1.97460852e+01 1.97446304e+01 1.97437182e+01 1.97431449e+01 1.97427841e+01 1.97425566e+01 1.97424134e+01 1.97423231e+01 1.97422660e+01 1.97422301e+01 1.97422076e+01 1.97421932e+01 1.97421840e+01 1.97421783e+01 1.97421747e+01 1.97421726e+01 1.97421715e+01 1.97421705e+01 1.97421697e+01 1.97421693e+01 1.97421688e+01 1.97421690e+01 1.97421690e+01 1.97421688e+01 1.97421690e+01 1.97421687e+01 1.97421686e+01 1.97421688e+01 1.97421687e+01 1.97421686e+01 1.97421687e+01 1.97421688e+01 1.97421686e+01 1.97421685e+01 1.97421687e+01 1.97421686e+01 1.97421685e+01 1.97421687e+01 1.97421686e+01 1.97421687e+01 1.97421687e+01 1.97421686e+01 1.97421687e+01 1.97421686e+01 1.97421687e+01 4.81779535e+03 3.78908778e+03 2.97973473e+03 2.34302247e+03 1.84217173e+03 1.44823141e+03 1.13840998e+03 8.94770289e+02 7.03194430e+02 5.52572478e+02 4.34162297e+02 3.41085632e+02 2.67931280e+02 2.10443538e+02 1.65276670e+02 1.29803064e+02 1.01963819e+02 8.01535310e+01 6.31335231e+01 4.99650029e+01 3.99518744e+01 3.25751185e+01 2.74069715e+01 2.40239629e+01 2.19728895e+01 2.08144892e+01 2.01932693e+01 1.98685668e+01 1.96988453e+01 1.96083914e+01 1.95587033e+01 1.95305044e+01 1.95140207e+01 1.95041549e+01 1.94981484e+01 1.94944452e+01 1.94921440e+01 1.94907061e+01 1.94898044e+01 1.94892377e+01 1.94888811e+01 1.94886563e+01 1.94885147e+01 1.94884254e+01 1.94883690e+01 1.94883336e+01 1.94883113e+01 1.94882970e+01 1.94882880e+01 1.94882824e+01 1.94882787e+01 1.94882767e+01 1.94882756e+01 1.94882746e+01 1.94882738e+01 1.94882734e+01 1.94882729e+01 1.94882732e+01 1.94882731e+01 1.94882730e+01 1.94882731e+01 1.94882728e+01 1.94882728e+01 1.94882729e+01 1.94882729e+01 1.94882727e+01 1.94882728e+01 1.94882729e+01 1.94882727e+01 1.94882727e+01 1.94882729e+01 1.94882727e+01 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8.39751457e+01 3.52377836e+01 1.52065962e+01 6.85952242e+00 3.32768642e+00 1.81811779e+00 1.18120745e+00 9.33912443e-01 8.65810700e-01 5.91950087e+25 4.47723216e+25 3.37783379e+25 2.54127804e+25 1.90595285e+25 1.42447136e+25 1.06042788e+25 7.85884498e+24 5.79428491e+24 4.24670581e+24 3.09084735e+24 2.23113153e+24 1.59475634e+24 1.12638244e+24 7.84036666e+23 5.35962707e+23 3.58193500e+23 2.32679112e+23 1.45835996e+23 8.74158408e+22 4.96223378e+22 2.64354640e+22 1.31455784e+22 6.11110331e+21 2.68147286e+21 1.12745073e+21 4.61469067e+20 1.86189877e+20 7.46451751e+19 2.98567975e+19 1.19328931e+19 4.76684975e+18 1.90305756e+18 7.59226750e+17 3.02700666e+17 1.20625174e+17 4.80518958e+16 1.91374171e+16 7.62065763e+15 3.03431955e+15 1.20810525e+15 4.80985727e+14 1.91491499e+14 7.62360576e+13 3.03506041e+13 1.20829152e+13 4.81032635e+12 1.91503349e+12 7.62390769e+11 3.03513898e+11 1.20831296e+11 4.81039100e+10 1.91505659e+10 7.62400878e+09 3.03519151e+09 1.20834329e+09 4.81057517e+08 1.91517104e+08 7.62472657e+07 3.03564326e+07 1.20862803e+07 4.81237061e+06 1.91630334e+06 7.63186751e+05 3.04014609e+05 1.21146661e+05 4.83025898e+04 1.92757077e+04 7.70279285e+03 3.08475657e+03 1.23950087e+03 5.00629279e+02 2.03808092e+02 8.39751463e+01 3.52377835e+01 1.52065963e+01 6.85952242e+00 3.32768639e+00 1.81811781e+00 1.18120745e+00 9.33912445e-01 1.48691139e+26 1.12462987e+26 8.48473488e+25 6.38340183e+25 4.78753711e+25 3.57811028e+25 2.66367439e+25 1.97405261e+25 1.45545856e+25 1.06672427e+25 7.76385751e+24 5.60434901e+24 4.00584682e+24 2.82934477e+24 1.96941106e+24 1.34627745e+24 8.99741394e+23 5.84463505e+23 3.66323460e+23 2.19578664e+23 1.24645677e+23 6.64028832e+22 3.30202001e+22 1.53503975e+22 6.73555530e+21 2.83202819e+21 1.15915789e+21 4.67687826e+20 1.87500202e+20 7.49968846e+19 2.99740723e+19 1.19737852e+19 4.78026446e+18 1.90709137e+18 7.60349695e+17 3.02996738e+17 1.20700905e+17 4.80710183e+16 1.91422264e+16 7.62186607e+15 3.03462315e+15 1.20818150e+15 4.81004886e+14 1.91496311e+14 7.62372661e+13 3.03509079e+13 1.20829916e+13 4.81034546e+12 1.91503829e+12 7.62391977e+11 3.03514200e+11 1.20831374e+11 4.81039298e+10 1.91505706e+10 7.62400991e+09 3.03519181e+09 1.20834335e+09 4.81057545e+08 1.91517110e+08 7.62472664e+07 3.03564332e+07 1.20862802e+07 4.81237063e+06 1.91630335e+06 7.63186752e+05 3.04014607e+05 1.21146662e+05 4.83025900e+04 1.92757075e+04 7.70279283e+03 3.08475661e+03 1.23950086e+03 5.00629278e+02 2.03808094e+02 8.39751460e+01 3.52377837e+01 1.52065963e+01 6.85952236e+00 3.32768641e+00 1.81811780e+00 1.18120745e+00 3.73495255e+26 2.82494252e+26 2.13126904e+26 1.60343804e+26 1.20257495e+26 8.98780665e+25 6.69084756e+25 4.95859596e+25 3.65594662e+25 2.67949022e+25 1.95019283e+25 1.40774882e+25 1.00622323e+25 7.10699274e+24 4.94693693e+24 3.38169606e+24 2.26004820e+24 1.46810595e+24 9.20162930e+23 5.51556668e+23 3.13095785e+23 1.66796501e+23 8.29429926e+22 3.85584552e+22 1.69189500e+22 7.11373319e+21 2.91167297e+21 1.17477870e+21 4.70979214e+20 1.88383657e+20 7.52914655e+19 3.00767886e+19 1.20074814e+19 4.79039693e+18 1.90991208e+18 7.61093395e+17 3.03186965e+17 1.20748938e+17 4.80830987e+16 1.91452619e+16 7.62262866e+15 3.03481469e+15 1.20822963e+15 4.81016974e+14 1.91499347e+14 7.62380291e+13 3.03510998e+13 1.20830397e+13 4.81035753e+12 1.91504133e+12 7.62392736e+11 3.03514395e+11 1.20831424e+11 4.81039417e+10 1.91505734e+10 7.62401065e+09 3.03519196e+09 1.20834342e+09 4.81057559e+08 1.91517111e+08 7.62472679e+07 3.03564330e+07 1.20862802e+07 4.81237067e+06 1.91630336e+06 7.63186746e+05 3.04014609e+05 1.21146662e+05 4.83025896e+04 1.92757075e+04 7.70279290e+03 3.08475658e+03 1.23950086e+03 5.00629282e+02 2.03808093e+02 8.39751466e+01 3.52377837e+01 1.52065962e+01 6.85952241e+00 3.32768640e+00 1.81811781e+00 9.38177663e+26 7.09593477e+26 5.35350579e+26 4.02765427e+26 3.02073170e+26 2.25763496e+26 1.68066492e+26 1.24554299e+26 9.18332270e+25 6.73057512e+25 4.89866292e+25 3.53610517e+25 2.52751847e+25 1.78519586e+25 1.24261437e+25 8.49443646e+24 5.67698441e+24 3.68771541e+24 2.31134478e+24 1.38544771e+24 7.86461054e+23 4.18973869e+23 2.08343378e+23 9.68544603e+22 4.24984809e+22 1.78688899e+22 7.31379183e+21 2.95091068e+21 1.18304630e+21 4.73198352e+20 1.89123611e+20 7.55494771e+19 3.01614297e+19 1.20329331e+19 4.79748224e+18 1.91178017e+18 7.61571223e+17 3.03307620e+17 1.20779283e+17 4.80907234e+16 1.91471774e+16 7.62310981e+15 3.03493558e+15 1.20825999e+15 4.81024599e+14 1.91501264e+14 7.62385111e+13 3.03512204e+13 1.20830700e+13 4.81036515e+12 1.91504323e+12 7.62393226e+11 3.03514520e+11 1.20831453e+11 4.81039488e+10 1.91505753e+10 7.62401104e+09 3.03519213e+09 1.20834346e+09 4.81057564e+08 1.91517115e+08 7.62472673e+07 3.03564331e+07 1.20862803e+07 4.81237068e+06 1.91630334e+06 7.63186751e+05 3.04014610e+05 1.21146661e+05 4.83025895e+04 1.92757077e+04 7.70279284e+03 3.08475657e+03 1.23950087e+03 5.00629280e+02 2.03808094e+02 8.39751466e+01 3.52377834e+01 1.52065963e+01 6.85952239e+00 3.32768641e+00 2.35659574e+27 1.78241823e+27 1.34473985e+27 1.01170101e+27 7.58773497e+26 5.67092262e+26 4.22163941e+26 3.12866254e+26 2.30674637e+26 1.69064403e+26 1.23048849e+26 8.88229459e+25 6.34883936e+25 4.48420927e+25 3.12130619e+25 2.13370597e+25 1.42599401e+25 9.26312230e+24 5.80583559e+24 3.48008730e+24 1.97550085e+24 1.05241478e+24 5.23334903e+23 2.43287405e+23 1.06751357e+23 4.48846220e+22 1.83714145e+22 7.41235251e+21 2.97167794e+21 1.18862052e+21 4.75057031e+20 1.89771706e+20 7.57620861e+19 3.02253613e+19 1.20507305e+19 4.80217467e+18 1.91298042e+18 7.61874294e+17 3.03383842e+17 1.20798435e+17 4.80955351e+16 1.91483860e+16 7.62341346e+15 3.03501185e+15 1.20827915e+15 4.81029414e+14 1.91502474e+14 7.62388141e+13 3.03512966e+13 1.20830891e+13 4.81036995e+12 1.91504446e+12 7.62393541e+11 3.03514595e+11 1.20831471e+11 4.81039535e+10 1.91505762e+10 7.62401148e+09 3.03519222e+09 1.20834347e+09 4.81057573e+08 1.91517114e+08 7.62472675e+07 3.03564334e+07 1.20862803e+07 4.81237064e+06 1.91630335e+06 7.63186754e+05 3.04014608e+05 1.21146661e+05 4.83025900e+04 1.92757075e+04 7.70279282e+03 3.08475659e+03 1.23950087e+03 5.00629283e+02 2.03808094e+02 8.39751459e+01 3.52377837e+01 1.52065963e+01 6.85952240e+00 5.91950087e+27 4.47723216e+27 3.37783379e+27 2.54127804e+27 1.90595285e+27 1.42447136e+27 1.06042788e+27 7.85884498e+26 5.79428491e+26 4.24670581e+26 3.09084735e+26 2.23113153e+26 1.59475634e+26 1.12638244e+26 7.84036666e+25 5.35962707e+25 3.58193500e+25 2.32679112e+25 1.45835996e+25 8.74158408e+24 4.96223378e+24 2.64354640e+24 1.31455784e+24 6.11110331e+23 2.68147286e+23 1.12745073e+23 4.61469067e+22 1.86189877e+22 7.46451751e+21 2.98567975e+21 1.19328931e+21 4.76684974e+20 1.90305756e+20 7.59226749e+19 3.02700665e+19 1.20625174e+19 4.80518956e+18 1.91374170e+18 7.62065755e+17 3.03431951e+17 1.20810522e+17 4.80985709e+16 1.91491488e+16 7.62360504e+15 3.03505996e+15 1.20829124e+15 4.81032455e+14 1.91503235e+14 7.62390054e+13 3.03513447e+13 1.20831011e+13 4.81037304e+12 1.91504525e+12 7.62393728e+11 3.03514640e+11 1.20831483e+11 4.81039559e+10 1.91505773e+10 7.62401170e+09 3.03519225e+09 1.20834349e+09 4.81057569e+08 1.91517114e+08 7.62472683e+07 3.03564334e+07 1.20862802e+07 4.81237067e+06 1.91630336e+06 7.63186748e+05 3.04014607e+05 1.21146662e+05 4.83025896e+04 1.92757074e+04 7.70279288e+03 3.08475659e+03 1.23950087e+03 5.00629283e+02 2.03808093e+02 8.39751465e+01 3.52377836e+01 1.52065963e+01 1.48691139e+28 1.12462987e+28 8.48473488e+27 6.38340183e+27 4.78753711e+27 3.57811028e+27 2.66367439e+27 1.97405261e+27 1.45545856e+27 1.06672427e+27 7.76385751e+26 5.60434901e+26 4.00584682e+26 2.82934477e+26 1.96941106e+26 1.34627745e+26 8.99741394e+25 5.84463505e+25 3.66323460e+25 2.19578664e+25 1.24645677e+25 6.64028832e+24 3.30202001e+24 1.53503975e+24 6.73555530e+23 2.83202819e+23 1.15915789e+23 4.67687826e+22 1.87500202e+22 7.49968846e+21 2.99740723e+21 1.19737852e+21 4.78026446e+20 1.90709137e+20 7.60349694e+19 3.02996738e+19 1.20700905e+19 4.80710181e+18 1.91422263e+18 7.62186599e+17 3.03462310e+17 1.20818147e+17 4.81004868e+16 1.91496300e+16 7.62372589e+15 3.03509034e+15 1.20829888e+15 4.81034367e+14 1.91503716e+14 7.62391262e+13 3.03513749e+13 1.20831089e+13 4.81037502e+12 1.91504573e+12 7.62393841e+11 3.03514670e+11 1.20831489e+11 4.81039587e+10 1.91505779e+10 7.62401178e+09 3.03519231e+09 1.20834349e+09 4.81057571e+08 1.91517116e+08 7.62472683e+07 3.03564332e+07 1.20862803e+07 4.81237069e+06 1.91630335e+06 7.63186745e+05 3.04014610e+05 1.21146661e+05 4.83025895e+04 1.92757076e+04 7.70279285e+03 3.08475661e+03 1.23950087e+03 5.00629279e+02 2.03808094e+02 8.39751462e+01 3.52377837e+01 3.73495255e+28 2.82494252e+28 2.13126904e+28 1.60343804e+28 1.20257495e+28 8.98780665e+27 6.69084756e+27 4.95859596e+27 3.65594662e+27 2.67949022e+27 1.95019283e+27 1.40774882e+27 1.00622323e+27 7.10699274e+26 4.94693693e+26 3.38169606e+26 2.26004820e+26 1.46810595e+26 9.20162930e+25 5.51556668e+25 3.13095785e+25 1.66796501e+25 8.29429926e+24 3.85584551e+24 1.69189500e+24 7.11373319e+23 2.91167297e+23 1.17477870e+23 4.70979214e+22 1.88383657e+22 7.52914655e+21 3.00767886e+21 1.20074814e+21 4.79039693e+20 1.90991208e+20 7.61093395e+19 3.03186965e+19 1.20748938e+19 4.80830985e+18 1.91452618e+18 7.62262859e+17 3.03481465e+17 1.20822960e+17 4.81016956e+16 1.91499336e+16 7.62380220e+15 3.03510953e+15 1.20830368e+15 4.81035573e+14 1.91504019e+14 7.62392021e+13 3.03513944e+13 1.20831139e+13 4.81037621e+12 1.91504601e+12 7.62393916e+11 3.03514685e+11 1.20831496e+11 4.81039601e+10 1.91505781e+10 7.62401192e+09 3.03519229e+09 1.20834349e+09 4.81057576e+08 1.91517116e+08 7.62472677e+07 3.03564334e+07 1.20862804e+07 4.81237065e+06 1.91630334e+06 7.63186753e+05 3.04014607e+05 1.21146661e+05 4.83025898e+04 1.92757075e+04 7.70279291e+03 3.08475661e+03 1.23950086e+03 5.00629283e+02 2.03808094e+02 8.39751464e+01 # # uncertainties in the thermally averaged relativistic Gaunt factors 3.6309e-03 2.7385e-03 2.2425e-03 1.7514e-03 1.3017e-03 1.1002e-03 8.5055e-04 6.5938e-04 4.6075e-04 4.0331e-04 3.0669e-04 2.5921e-04 1.7511e-04 1.5553e-04 1.2328e-04 1.0040e-04 7.5671e-05 6.1569e-05 4.7287e-05 3.7713e-05 3.1925e-05 2.4859e-05 1.9787e-05 1.7601e-05 1.6138e-05 1.5563e-05 1.5419e-05 1.5951e-05 1.4821e-05 1.5149e-05 1.4994e-05 1.6261e-05 1.5964e-05 1.5664e-05 1.5594e-05 1.5535e-05 1.5513e-05 1.5492e-05 1.5481e-05 1.5476e-05 1.5466e-05 1.5474e-05 1.5469e-05 1.5465e-05 1.5458e-05 1.5463e-05 1.5470e-05 1.5469e-05 1.5463e-05 1.5462e-05 1.5452e-05 1.5467e-05 1.5483e-05 1.5473e-05 1.5468e-05 1.5461e-05 1.5445e-05 1.5470e-05 1.5466e-05 1.5470e-05 1.5469e-05 1.5451e-05 1.5461e-05 1.5470e-05 1.5466e-05 1.5462e-05 1.5468e-05 1.5457e-05 1.5460e-05 1.5456e-05 1.5473e-05 1.5457e-05 1.5455e-05 1.5453e-05 1.5456e-05 1.5470e-05 1.5467e-05 1.5465e-05 1.5457e-05 1.5459e-05 1.5461e-05 3.1804e-03 3.0148e-03 2.0717e-03 1.7522e-03 1.1829e-03 1.1018e-03 8.2118e-04 6.8137e-04 5.1470e-04 4.0902e-04 2.9625e-04 2.5587e-04 2.0207e-04 1.6065e-04 1.1799e-04 9.1572e-05 7.4980e-05 5.4377e-05 4.6679e-05 3.7520e-05 2.9511e-05 2.2638e-05 2.0590e-05 1.7369e-05 1.6834e-05 1.6696e-05 1.6050e-05 1.4981e-05 1.5130e-05 1.5145e-05 1.4852e-05 1.4921e-05 1.4749e-05 1.4661e-05 1.5222e-05 1.5157e-05 1.5130e-05 1.5107e-05 1.5094e-05 1.5088e-05 1.5077e-05 1.5085e-05 1.5080e-05 1.5075e-05 1.5068e-05 1.5073e-05 1.5080e-05 1.5079e-05 1.5073e-05 1.5072e-05 1.5062e-05 1.5077e-05 1.5092e-05 1.5082e-05 1.5078e-05 1.5071e-05 1.5055e-05 1.5080e-05 1.5076e-05 1.5080e-05 1.5079e-05 1.5061e-05 1.5071e-05 1.5080e-05 1.5076e-05 1.5072e-05 1.5078e-05 1.5067e-05 1.5070e-05 1.5066e-05 1.5083e-05 1.5067e-05 1.5065e-05 1.5062e-05 1.5066e-05 1.5080e-05 1.5077e-05 1.5075e-05 1.5067e-05 1.5068e-05 1.5071e-05 3.1064e-03 2.7965e-03 2.1170e-03 1.7316e-03 1.3665e-03 1.0985e-03 8.5170e-04 6.2229e-04 5.1023e-04 4.1378e-04 3.1337e-04 2.3478e-04 1.9980e-04 1.3407e-04 1.1868e-04 9.3333e-05 8.1531e-05 6.0572e-05 4.6477e-05 3.7435e-05 2.8499e-05 2.2347e-05 2.1591e-05 1.6631e-05 1.6474e-05 1.7040e-05 1.6388e-05 1.4934e-05 1.4979e-05 1.5988e-05 1.5333e-05 1.4706e-05 1.4571e-05 1.4506e-05 1.4468e-05 1.4429e-05 1.4418e-05 1.4952e-05 1.4940e-05 1.4936e-05 1.4925e-05 1.4934e-05 1.4928e-05 1.4924e-05 1.4917e-05 1.4922e-05 1.4929e-05 1.4928e-05 1.4922e-05 1.4921e-05 1.4911e-05 1.4926e-05 1.4941e-05 1.4932e-05 1.4927e-05 1.4920e-05 1.4905e-05 1.4929e-05 1.4925e-05 1.4929e-05 1.4928e-05 1.4910e-05 1.4920e-05 1.4929e-05 1.4925e-05 1.4922e-05 1.4927e-05 1.4916e-05 1.4919e-05 1.4915e-05 1.4932e-05 1.4916e-05 1.4914e-05 1.4912e-05 1.4915e-05 1.4929e-05 1.4926e-05 1.4924e-05 1.4916e-05 1.4918e-05 1.4920e-05 3.4307e-03 2.7975e-03 2.1038e-03 1.6010e-03 1.3540e-03 9.1514e-04 8.4102e-04 6.4417e-04 5.2747e-04 3.9685e-04 2.9725e-04 2.2002e-04 1.9686e-04 1.5570e-04 1.2376e-04 9.1420e-05 7.4563e-05 6.2371e-05 4.4417e-05 3.8905e-05 2.9434e-05 2.2696e-05 1.7863e-05 1.5886e-05 1.6916e-05 1.5767e-05 1.4584e-05 1.4889e-05 1.4402e-05 1.5248e-05 1.4781e-05 1.3956e-05 1.3776e-05 1.3683e-05 1.3627e-05 1.3576e-05 1.5009e-05 1.4984e-05 1.4971e-05 1.4965e-05 1.4954e-05 1.4961e-05 1.4955e-05 1.4951e-05 1.4944e-05 1.4949e-05 1.4955e-05 1.4954e-05 1.4949e-05 1.4948e-05 1.4938e-05 1.4952e-05 1.4967e-05 1.4958e-05 1.4954e-05 1.4947e-05 1.4932e-05 1.4956e-05 1.4952e-05 1.4956e-05 1.4955e-05 1.4937e-05 1.4947e-05 1.4955e-05 1.4952e-05 1.4948e-05 1.4953e-05 1.4943e-05 1.4946e-05 1.4942e-05 1.4958e-05 1.4943e-05 1.4941e-05 1.4939e-05 1.4942e-05 1.4955e-05 1.4952e-05 1.4951e-05 1.4943e-05 1.4944e-05 1.4947e-05 3.3330e-03 2.4016e-03 2.0121e-03 1.5473e-03 1.3379e-03 1.0568e-03 8.4093e-04 6.2065e-04 5.0749e-04 3.9415e-04 3.1857e-04 2.4018e-04 1.9427e-04 1.4134e-04 1.1151e-04 9.8955e-05 6.8070e-05 5.8810e-05 4.5036e-05 3.6383e-05 2.9207e-05 2.2094e-05 1.9766e-05 1.7865e-05 1.4845e-05 1.4880e-05 1.6069e-05 1.4594e-05 1.5429e-05 1.4683e-05 1.5086e-05 1.4253e-05 1.5254e-05 1.5136e-05 1.5425e-05 1.5294e-05 1.5274e-05 1.5256e-05 1.5247e-05 1.5243e-05 1.5234e-05 1.5242e-05 1.5237e-05 1.5233e-05 1.5227e-05 1.5231e-05 1.5238e-05 1.5237e-05 1.5231e-05 1.5230e-05 1.5221e-05 1.5235e-05 1.5249e-05 1.5240e-05 1.5236e-05 1.5229e-05 1.5215e-05 1.5238e-05 1.5234e-05 1.5238e-05 1.5237e-05 1.5220e-05 1.5229e-05 1.5237e-05 1.5234e-05 1.5231e-05 1.5236e-05 1.5226e-05 1.5229e-05 1.5225e-05 1.5240e-05 1.5226e-05 1.5224e-05 1.5222e-05 1.5225e-05 1.5238e-05 1.5235e-05 1.5234e-05 1.5226e-05 1.5227e-05 1.5229e-05 3.4323e-03 2.6486e-03 2.1592e-03 1.6543e-03 1.2263e-03 9.7338e-04 7.5715e-04 6.7209e-04 4.6845e-04 4.0579e-04 3.0588e-04 2.2910e-04 1.8365e-04 1.4522e-04 1.1894e-04 1.0158e-04 7.3514e-05 5.6955e-05 4.4541e-05 3.3984e-05 3.0659e-05 2.4959e-05 1.8406e-05 1.7823e-05 1.5529e-05 1.4674e-05 1.4847e-05 1.4248e-05 1.4839e-05 1.4645e-05 1.3806e-05 1.3806e-05 1.3946e-05 1.3877e-05 1.3836e-05 1.4217e-05 1.4203e-05 1.4189e-05 1.4181e-05 1.4179e-05 1.4170e-05 1.4179e-05 1.4174e-05 1.4171e-05 1.4164e-05 1.4169e-05 1.4176e-05 1.4175e-05 1.4169e-05 1.4168e-05 1.4158e-05 1.4173e-05 1.4188e-05 1.4178e-05 1.4174e-05 1.4167e-05 1.4152e-05 1.4176e-05 1.4172e-05 1.4176e-05 1.4175e-05 1.4157e-05 1.4167e-05 1.4176e-05 1.4172e-05 1.4169e-05 1.4174e-05 1.4163e-05 1.4167e-05 1.4163e-05 1.4178e-05 1.4163e-05 1.4162e-05 1.4159e-05 1.4162e-05 1.4176e-05 1.4173e-05 1.4171e-05 1.4164e-05 1.4165e-05 1.4167e-05 3.1032e-03 2.7489e-03 1.7950e-03 1.5529e-03 1.1497e-03 1.0287e-03 8.1713e-04 6.4821e-04 4.7982e-04 4.1158e-04 3.2381e-04 2.1843e-04 1.8845e-04 1.4748e-04 1.1309e-04 7.9576e-05 7.2380e-05 5.2444e-05 4.5815e-05 3.3399e-05 2.6631e-05 2.1429e-05 1.9904e-05 1.5220e-05 1.5144e-05 1.5326e-05 1.4875e-05 1.4457e-05 1.4865e-05 1.3989e-05 1.4302e-05 1.4494e-05 1.3515e-05 1.4770e-05 1.4687e-05 1.4622e-05 1.4594e-05 1.4571e-05 1.4558e-05 1.4552e-05 1.4541e-05 1.4548e-05 1.4543e-05 1.4539e-05 1.4532e-05 1.4537e-05 1.4543e-05 1.4542e-05 1.4537e-05 1.4536e-05 1.4526e-05 1.4540e-05 1.4555e-05 1.4545e-05 1.4542e-05 1.4535e-05 1.4520e-05 1.4543e-05 1.4540e-05 1.4543e-05 1.4542e-05 1.4525e-05 1.4535e-05 1.4543e-05 1.4539e-05 1.4536e-05 1.4541e-05 1.4531e-05 1.4534e-05 1.4530e-05 1.4545e-05 1.4531e-05 1.4530e-05 1.4527e-05 1.4530e-05 1.4543e-05 1.4540e-05 1.4539e-05 1.4531e-05 1.4533e-05 1.4535e-05 3.2516e-03 2.6435e-03 2.0469e-03 1.6633e-03 1.2561e-03 1.0159e-03 7.5072e-04 5.8369e-04 5.1936e-04 3.5527e-04 3.0078e-04 2.0869e-04 1.9536e-04 1.4104e-04 1.2270e-04 8.7761e-05 7.1994e-05 5.5099e-05 3.9718e-05 3.6784e-05 2.7596e-05 2.2221e-05 1.8709e-05 1.6862e-05 1.6196e-05 1.4306e-05 1.4876e-05 1.5147e-05 1.4258e-05 1.3728e-05 1.3946e-05 1.4481e-05 1.4246e-05 1.4120e-05 1.4045e-05 1.3984e-05 1.3959e-05 1.3938e-05 1.3926e-05 1.3921e-05 1.3911e-05 1.3918e-05 1.3913e-05 1.3909e-05 1.3902e-05 1.3907e-05 1.3913e-05 1.3912e-05 1.3907e-05 1.3906e-05 1.3897e-05 1.3911e-05 1.3925e-05 1.3916e-05 1.3912e-05 1.3905e-05 1.3890e-05 1.3914e-05 1.3910e-05 1.3914e-05 1.3913e-05 1.3896e-05 1.3905e-05 1.3913e-05 1.3910e-05 1.3907e-05 1.3911e-05 1.3901e-05 1.3905e-05 1.3901e-05 1.3916e-05 1.3901e-05 1.3900e-05 1.3897e-05 1.3900e-05 1.3913e-05 1.3911e-05 1.3909e-05 1.3902e-05 1.3903e-05 1.3905e-05 3.5209e-03 2.3933e-03 2.0443e-03 1.4181e-03 1.2115e-03 8.8992e-04 7.6138e-04 6.1368e-04 4.9217e-04 3.6950e-04 2.9954e-04 2.3183e-04 1.8833e-04 1.4414e-04 1.1328e-04 8.6651e-05 6.9511e-05 5.0604e-05 3.7815e-05 3.5464e-05 2.7953e-05 2.1517e-05 1.8089e-05 1.6307e-05 1.4814e-05 1.4215e-05 1.3789e-05 1.3851e-05 1.3701e-05 1.4467e-05 1.3520e-05 1.3325e-05 1.3211e-05 1.4487e-05 1.4401e-05 1.4334e-05 1.4304e-05 1.4280e-05 1.4266e-05 1.4260e-05 1.4249e-05 1.4256e-05 1.4250e-05 1.4246e-05 1.4240e-05 1.4244e-05 1.4250e-05 1.4249e-05 1.4244e-05 1.4243e-05 1.4234e-05 1.4247e-05 1.4261e-05 1.4252e-05 1.4249e-05 1.4242e-05 1.4228e-05 1.4251e-05 1.4247e-05 1.4250e-05 1.4249e-05 1.4233e-05 1.4242e-05 1.4250e-05 1.4247e-05 1.4244e-05 1.4248e-05 1.4239e-05 1.4242e-05 1.4238e-05 1.4252e-05 1.4238e-05 1.4237e-05 1.4235e-05 1.4238e-05 1.4250e-05 1.4247e-05 1.4246e-05 1.4239e-05 1.4240e-05 1.4242e-05 3.3550e-03 2.5082e-03 2.0370e-03 1.5763e-03 1.2821e-03 9.8285e-04 7.8052e-04 5.9006e-04 4.5816e-04 4.0018e-04 2.7332e-04 2.3160e-04 1.6790e-04 1.3972e-04 1.0858e-04 8.9755e-05 6.7500e-05 5.6369e-05 4.2761e-05 3.3512e-05 2.8381e-05 2.3620e-05 1.7608e-05 1.5310e-05 1.3268e-05 1.4017e-05 1.3660e-05 1.3378e-05 1.3742e-05 1.4471e-05 1.3332e-05 1.4363e-05 1.3970e-05 1.3864e-05 1.3800e-05 1.3747e-05 1.3726e-05 1.3708e-05 1.3697e-05 1.3693e-05 1.3684e-05 1.3691e-05 1.3687e-05 1.3683e-05 1.3676e-05 1.3681e-05 1.3687e-05 1.3686e-05 1.3681e-05 1.3680e-05 1.3671e-05 1.3684e-05 1.3699e-05 1.3690e-05 1.3686e-05 1.3679e-05 1.3665e-05 1.3688e-05 1.3684e-05 1.3688e-05 1.3687e-05 1.3670e-05 1.3679e-05 1.3687e-05 1.3684e-05 1.3681e-05 1.3685e-05 1.3676e-05 1.3679e-05 1.3675e-05 1.3690e-05 1.3675e-05 1.3674e-05 1.3672e-05 1.3675e-05 1.3687e-05 1.3685e-05 1.3683e-05 1.3676e-05 1.3677e-05 1.3679e-05 3.2455e-03 2.7177e-03 1.8864e-03 1.5765e-03 1.2396e-03 9.2206e-04 7.3093e-04 6.0910e-04 4.4630e-04 4.0438e-04 2.8422e-04 2.3024e-04 1.7843e-04 1.5291e-04 1.0555e-04 8.6469e-05 6.5842e-05 5.1131e-05 4.4728e-05 3.3065e-05 2.6396e-05 2.0165e-05 1.8562e-05 1.5377e-05 1.4517e-05 1.3695e-05 1.4192e-05 1.3769e-05 1.3670e-05 1.2737e-05 1.3977e-05 1.3728e-05 1.3586e-05 1.3844e-05 1.3777e-05 1.3721e-05 1.3699e-05 1.3679e-05 1.3668e-05 1.3663e-05 1.3654e-05 1.3661e-05 1.3656e-05 1.3652e-05 1.3646e-05 1.3650e-05 1.3656e-05 1.3655e-05 1.3650e-05 1.3649e-05 1.3641e-05 1.3654e-05 1.3667e-05 1.3659e-05 1.3655e-05 1.3648e-05 1.3635e-05 1.3657e-05 1.3653e-05 1.3657e-05 1.3656e-05 1.3640e-05 1.3648e-05 1.3656e-05 1.3653e-05 1.3650e-05 1.3654e-05 1.3645e-05 1.3648e-05 1.3644e-05 1.3659e-05 1.3645e-05 1.3644e-05 1.3641e-05 1.3644e-05 1.3656e-05 1.3654e-05 1.3652e-05 1.3645e-05 1.3646e-05 1.3648e-05 3.0124e-03 2.6301e-03 1.9350e-03 1.5684e-03 1.2147e-03 9.9310e-04 7.5812e-04 5.9882e-04 4.5526e-04 3.7147e-04 2.8106e-04 2.1017e-04 1.7794e-04 1.2065e-04 1.1709e-04 8.3209e-05 6.8991e-05 5.1679e-05 4.2323e-05 3.3168e-05 2.3220e-05 1.9674e-05 1.7678e-05 1.4737e-05 1.5038e-05 1.5005e-05 1.4498e-05 1.3236e-05 1.4024e-05 1.3143e-05 1.4059e-05 1.2939e-05 1.2810e-05 1.2882e-05 1.2829e-05 1.2783e-05 1.2767e-05 1.2751e-05 1.2742e-05 1.2739e-05 1.2731e-05 1.2739e-05 1.2734e-05 1.2731e-05 1.2724e-05 1.2729e-05 1.2735e-05 1.2734e-05 1.2729e-05 1.2728e-05 1.2719e-05 1.2733e-05 1.2747e-05 1.2738e-05 1.2734e-05 1.2727e-05 1.2713e-05 1.2736e-05 1.2732e-05 1.2736e-05 1.2735e-05 1.2718e-05 1.2727e-05 1.2735e-05 1.2732e-05 1.2729e-05 1.2733e-05 1.2724e-05 1.2727e-05 1.2723e-05 1.2738e-05 1.2724e-05 1.2722e-05 1.2720e-05 1.2723e-05 1.2735e-05 1.2733e-05 1.2731e-05 1.2724e-05 1.2725e-05 1.2727e-05 2.9297e-03 2.5298e-03 2.0078e-03 1.4332e-03 1.2145e-03 8.8084e-04 7.9753e-04 5.6933e-04 4.4344e-04 3.4718e-04 2.8955e-04 2.2080e-04 1.7641e-04 1.3705e-04 1.1025e-04 8.3985e-05 6.6601e-05 5.5297e-05 3.6079e-05 3.4409e-05 2.6002e-05 1.9989e-05 1.5814e-05 1.5552e-05 1.3410e-05 1.3887e-05 1.3430e-05 1.2827e-05 1.2803e-05 1.2477e-05 1.3349e-05 1.3072e-05 1.2910e-05 1.2826e-05 1.2775e-05 1.2730e-05 1.2714e-05 1.2698e-05 1.2689e-05 1.2686e-05 1.2678e-05 1.2686e-05 1.2681e-05 1.2678e-05 1.2672e-05 1.2676e-05 1.2682e-05 1.2681e-05 1.2676e-05 1.2675e-05 1.2666e-05 1.2680e-05 1.2694e-05 1.2685e-05 1.2681e-05 1.2674e-05 1.2660e-05 1.2683e-05 1.2679e-05 1.2683e-05 1.2682e-05 1.2665e-05 1.2674e-05 1.2682e-05 1.2679e-05 1.2676e-05 1.2680e-05 1.2671e-05 1.2674e-05 1.2670e-05 1.2685e-05 1.2671e-05 1.2669e-05 1.2667e-05 1.2670e-05 1.2682e-05 1.2680e-05 1.2678e-05 1.2671e-05 1.2672e-05 1.2674e-05 3.0775e-03 2.3210e-03 1.9740e-03 1.5444e-03 1.2073e-03 9.3643e-04 7.6434e-04 5.7458e-04 4.5788e-04 3.3096e-04 2.8556e-04 2.2572e-04 1.6668e-04 1.3654e-04 9.2605e-05 8.7562e-05 5.7697e-05 4.9428e-05 3.5398e-05 3.3440e-05 2.5880e-05 1.9539e-05 1.6709e-05 1.5774e-05 1.4084e-05 1.3101e-05 1.3019e-05 1.2845e-05 1.2615e-05 1.2917e-05 1.3293e-05 1.3029e-05 1.2878e-05 1.2801e-05 1.2755e-05 1.2714e-05 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