# # # 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) 5 # 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. # 8.09027211e+02 6.36111797e+02 5.00101623e+02 3.93130596e+02 3.09007801e+02 2.42861189e+02 1.90858283e+02 1.49986399e+02 1.17881308e+02 9.26947498e+01 7.29934062e+01 5.76825977e+01 4.59445672e+01 3.71750580e+01 3.09006647e+01 2.66820095e+01 2.40506401e+01 2.25277134e+01 2.16977010e+01 2.12611478e+01 2.10335897e+01 2.09133863e+01 2.08481337e+01 2.08115374e+01 2.07903618e+01 2.07777907e+01 2.07701799e+01 2.07655071e+01 2.07626106e+01 2.07608038e+01 2.07596719e+01 2.07589612e+01 2.07585142e+01 2.07582326e+01 2.07580550e+01 2.07579433e+01 2.07578725e+01 2.07578280e+01 2.07577999e+01 2.07577822e+01 2.07577713e+01 2.07577640e+01 2.07577595e+01 2.07577569e+01 2.07577550e+01 2.07577538e+01 2.07577533e+01 2.07577528e+01 2.07577528e+01 2.07577523e+01 2.07577521e+01 2.07577522e+01 2.07577524e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577522e+01 2.07577521e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577520e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577520e+01 2.07577519e+01 2.07577520e+01 2.07577522e+01 2.07577523e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577525e+01 2.07577520e+01 2.07577520e+01 2.07577521e+01 2.07577519e+01 2.07577519e+01 8.00817314e+02 6.29590462e+02 4.94921486e+02 3.89015867e+02 3.05739285e+02 2.40264832e+02 1.88795779e+02 1.48347744e+02 1.16579024e+02 9.16590069e+01 7.21682443e+01 5.70226422e+01 4.54123822e+01 3.67390659e+01 3.05339241e+01 2.63620781e+01 2.37600000e+01 2.22540648e+01 2.14333242e+01 2.10016478e+01 2.07766246e+01 2.06577621e+01 2.05932352e+01 2.05570451e+01 2.05361068e+01 2.05236755e+01 2.05161489e+01 2.05115271e+01 2.05086626e+01 2.05068758e+01 2.05057564e+01 2.05050536e+01 2.05046114e+01 2.05043329e+01 2.05041573e+01 2.05040469e+01 2.05039769e+01 2.05039329e+01 2.05039051e+01 2.05038875e+01 2.05038768e+01 2.05038696e+01 2.05038651e+01 2.05038625e+01 2.05038607e+01 2.05038595e+01 2.05038590e+01 2.05038585e+01 2.05038584e+01 2.05038580e+01 2.05038578e+01 2.05038578e+01 2.05038581e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038577e+01 2.05038579e+01 2.05038578e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038577e+01 2.05038577e+01 2.05038577e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038577e+01 2.05038579e+01 2.05038580e+01 2.05038575e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038581e+01 2.05038577e+01 2.05038577e+01 2.05038578e+01 2.05038576e+01 2.05038576e+01 7.92607473e+02 6.23069117e+02 4.89741369e+02 3.84901147e+02 3.02470847e+02 2.37668526e+02 1.86733259e+02 1.46709093e+02 1.15276726e+02 9.06232834e+01 7.13430905e+01 5.63626975e+01 4.48801963e+01 3.63030669e+01 3.01671956e+01 2.60421402e+01 2.34693642e+01 2.19804212e+01 2.11689467e+01 2.07421447e+01 2.05196642e+01 2.04021378e+01 2.03383351e+01 2.03025529e+01 2.02818493e+01 2.02695573e+01 2.02621149e+01 2.02575455e+01 2.02547130e+01 2.02529449e+01 2.02518380e+01 2.02511430e+01 2.02507058e+01 2.02504305e+01 2.02502568e+01 2.02501476e+01 2.02500784e+01 2.02500349e+01 2.02500074e+01 2.02499901e+01 2.02499794e+01 2.02499723e+01 2.02499679e+01 2.02499653e+01 2.02499635e+01 2.02499623e+01 2.02499618e+01 2.02499613e+01 2.02499613e+01 2.02499609e+01 2.02499606e+01 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1.80545712e+02 1.41793141e+02 1.11369850e+02 8.75160669e+01 6.88676216e+01 5.43828405e+01 4.32836336e+01 3.49950701e+01 2.90669943e+01 2.50823464e+01 2.25974494e+01 2.11594772e+01 2.03758129e+01 1.99636345e+01 1.97487710e+01 1.96352640e+01 1.95736410e+01 1.95390771e+01 1.95190791e+01 1.95072050e+01 1.95000137e+01 1.94955990e+01 1.94928627e+01 1.94911559e+01 1.94900866e+01 1.94894152e+01 1.94889928e+01 1.94887268e+01 1.94885590e+01 1.94884535e+01 1.94883866e+01 1.94883446e+01 1.94883181e+01 1.94883013e+01 1.94882910e+01 1.94882841e+01 1.94882799e+01 1.94882774e+01 1.94882756e+01 1.94882745e+01 1.94882740e+01 1.94882735e+01 1.94882735e+01 1.94882731e+01 1.94882729e+01 1.94882729e+01 1.94882732e+01 1.94882728e+01 1.94882727e+01 1.94882729e+01 1.94882728e+01 1.94882729e+01 1.94882729e+01 1.94882728e+01 1.94882729e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882727e+01 1.94882728e+01 1.94882729e+01 1.94882731e+01 1.94882726e+01 1.94882729e+01 1.94882728e+01 1.94882728e+01 1.94882732e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882727e+01 1.94882727e+01 7.59767981e+02 5.96983712e+02 4.69020999e+02 3.68442323e+02 2.89396881e+02 2.27283182e+02 1.78483196e+02 1.40154485e+02 1.10067556e+02 8.64803412e+01 6.80424588e+01 5.37228858e+01 4.27514500e+01 3.45590763e+01 2.87002597e+01 2.47624131e+01 2.23068107e+01 2.08858318e+01 2.01114368e+01 1.97041343e+01 1.94918059e+01 1.93796408e+01 1.93187418e+01 1.92845840e+01 1.92648213e+01 1.92530842e+01 1.92459790e+01 1.92416165e+01 1.92389122e+01 1.92372254e+01 1.92361686e+01 1.92355050e+01 1.92350876e+01 1.92348247e+01 1.92346589e+01 1.92345546e+01 1.92344885e+01 1.92344470e+01 1.92344208e+01 1.92344042e+01 1.92343940e+01 1.92343872e+01 1.92343830e+01 1.92343805e+01 1.92343788e+01 1.92343777e+01 1.92343772e+01 1.92343768e+01 1.92343767e+01 1.92343763e+01 1.92343761e+01 1.92343762e+01 1.92343764e+01 1.92343760e+01 1.92343759e+01 1.92343761e+01 1.92343760e+01 1.92343762e+01 1.92343761e+01 1.92343761e+01 1.92343761e+01 1.92343760e+01 1.92343760e+01 1.92343761e+01 1.92343761e+01 1.92343760e+01 1.92343760e+01 1.92343759e+01 1.92343760e+01 1.92343762e+01 1.92343763e+01 1.92343759e+01 1.92343761e+01 1.92343760e+01 1.92343761e+01 1.92343764e+01 1.92343760e+01 1.92343760e+01 1.92343761e+01 1.92343759e+01 1.92343759e+01 7.51558072e+02 5.90462385e+02 4.63840880e+02 3.64327575e+02 2.86128403e+02 2.24686846e+02 1.76420685e+02 1.38515821e+02 1.08765265e+02 8.54446014e+01 6.72173061e+01 5.30629358e+01 4.22192579e+01 3.41230769e+01 2.83335260e+01 2.44424756e+01 2.20161762e+01 2.06121855e+01 1.98470590e+01 1.94446329e+01 1.92348440e+01 1.91240166e+01 1.90638446e+01 1.90300912e+01 1.90105621e+01 1.89989667e+01 1.89919458e+01 1.89876349e+01 1.89849627e+01 1.89832959e+01 1.89822516e+01 1.89815959e+01 1.89811834e+01 1.89809236e+01 1.89807598e+01 1.89806568e+01 1.89805914e+01 1.89805504e+01 1.89805245e+01 1.89805081e+01 1.89804981e+01 1.89804913e+01 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2.69897664e-01 2.83279399e-01 3.19776382e-01 3.72899671e-01 4.39388555e-01 5.16960692e-01 6.03111313e-01 6.94441047e-01 7.86388997e-01 6.48119885e+24 4.76078759e+24 3.47401808e+24 2.51534977e+24 1.80434186e+24 1.27980047e+24 8.95279136e+23 6.15610916e+23 4.14243090e+23 2.71180624e+23 1.71394040e+23 1.03575782e+23 5.91584346e+22 3.15430639e+22 1.55366023e+22 7.03539425e+21 2.94081229e+21 1.14939971e+21 4.27657878e+20 1.54284397e+20 5.48233798e+19 1.94209720e+19 6.91877578e+18 2.49365921e+18 9.12626299e+17 3.39717834e+17 1.28604025e+17 4.94305753e+16 1.92390166e+16 7.55870821e+15 2.98851042e+15 1.18602408e+15 4.71598417e+14 1.87678694e+14 7.47109985e+13 2.97431405e+13 1.18411346e+13 4.71409478e+12 1.87672914e+12 7.47143000e+11 2.97443971e+11 1.18414859e+11 4.71418988e+10 1.87675664e+10 7.47152157e+09 2.97447685e+09 1.18416690e+09 4.71429234e+08 1.87681802e+08 7.47190055e+07 2.97471390e+07 1.18431593e+07 4.71523135e+06 1.87741000e+06 7.47563410e+05 2.97706863e+05 1.18580085e+05 4.72459363e+04 1.88331114e+04 7.51281427e+03 3.00048160e+03 1.20053477e+03 4.81724729e+02 1.94153798e+02 7.87866317e+01 3.23061353e+01 1.34591715e+01 5.74578897e+00 2.54892252e+00 1.20394162e+00 6.31088203e-01 3.88770740e-01 2.94051856e-01 2.69897663e-01 2.83279399e-01 3.19776387e-01 3.72899663e-01 4.39388556e-01 5.16960693e-01 6.03111309e-01 6.94441047e-01 1.62800355e+25 1.19585577e+25 8.72633887e+24 6.31827296e+24 4.53230183e+24 3.21471344e+24 2.24883951e+24 1.54634471e+24 1.04053160e+24 6.81174931e+23 4.30522362e+23 2.60170601e+23 1.48599269e+23 7.92325941e+22 3.90261804e+22 1.76721114e+22 7.38698648e+21 2.88716154e+21 1.07422802e+21 3.87544882e+20 1.37710104e+20 4.87832760e+19 1.73791790e+19 6.26378872e+18 2.29241362e+18 8.53332618e+17 3.23038706e+17 1.24163991e+17 4.83262246e+16 1.89866165e+16 7.50679874e+15 2.97915777e+15 1.18460166e+15 4.71427560e+14 1.87665540e+14 7.47113886e+13 2.97435839e+13 1.18412698e+13 4.71412985e+12 1.87673798e+12 7.47145232e+11 2.97444526e+11 1.18414999e+11 4.71419344e+10 1.87675752e+10 7.47152377e+09 2.97447744e+09 1.18416703e+09 4.71429275e+08 1.87681809e+08 7.47190074e+07 2.97471397e+07 1.18431596e+07 4.71523129e+06 1.87741000e+06 7.47563420e+05 2.97706863e+05 1.18580086e+05 4.72459362e+04 1.88331114e+04 7.51281428e+03 3.00048159e+03 1.20053477e+03 4.81724730e+02 1.94153798e+02 7.87866315e+01 3.23061353e+01 1.34591715e+01 5.74578900e+00 2.54892254e+00 1.20394163e+00 6.31088189e-01 3.88770745e-01 2.94051855e-01 2.69897663e-01 2.83279404e-01 3.19776381e-01 3.72899663e-01 4.39388557e-01 5.16960690e-01 6.03111308e-01 4.08936002e+25 3.00385389e+25 2.19195722e+25 1.58707841e+25 1.13846275e+25 8.07499507e+24 5.64882946e+24 3.88424229e+24 2.61369720e+24 1.71103407e+24 1.08142328e+24 6.53519004e+23 3.73264488e+23 1.99023278e+23 9.80293331e+22 4.43903367e+22 1.85552711e+22 7.25222189e+21 2.69833879e+21 9.73468732e+20 3.45912141e+20 1.22538049e+20 4.36545239e+19 1.57339259e+19 5.75828266e+18 2.14347462e+18 8.11436541e+17 3.11885845e+17 1.21389988e+17 4.76922244e+16 1.88562259e+16 7.48330595e+15 2.97558481e+15 1.18417248e+15 4.71394517e+14 1.87666519e+14 7.47125024e+13 2.97439233e+13 1.18413578e+13 4.71415206e+12 1.87674359e+12 7.47146625e+11 2.97444877e+11 1.18415089e+11 4.71419565e+10 1.87675807e+10 7.47152525e+09 2.97447778e+09 1.18416713e+09 4.71429291e+08 1.87681814e+08 7.47190092e+07 2.97471405e+07 1.18431594e+07 4.71523130e+06 1.87741003e+06 7.47563418e+05 2.97706866e+05 1.18580086e+05 4.72459361e+04 1.88331114e+04 7.51281426e+03 3.00048159e+03 1.20053477e+03 4.81724730e+02 1.94153797e+02 7.87866316e+01 3.23061351e+01 1.34591715e+01 5.74578905e+00 2.54892256e+00 1.20394160e+00 6.31088197e-01 3.88770743e-01 2.94051855e-01 2.69897668e-01 2.83279398e-01 3.19776381e-01 3.72899664e-01 4.39388554e-01 5.16960689e-01 1.02720079e+26 7.54533984e+25 5.50594760e+25 3.98656073e+25 2.85968913e+25 2.02834705e+25 1.41892181e+25 9.75677549e+24 6.56531053e+24 4.29792325e+24 2.71641247e+24 1.64156552e+24 9.37598003e+23 4.99923872e+23 2.46238552e+23 1.11503484e+23 4.66087338e+22 1.82167578e+22 6.77792060e+21 2.44524290e+21 8.68892014e+20 3.07801663e+20 1.09655206e+20 3.95218350e+19 1.44641521e+19 5.38416482e+18 2.03823644e+18 7.83421822e+17 3.04917863e+17 1.19797451e+17 4.73646978e+16 1.87972146e+16 7.47433109e+15 2.97450677e+15 1.18408948e+15 4.71396978e+14 1.87669317e+14 7.47133550e+13 2.97441445e+13 1.18414136e+13 4.71416614e+12 1.87674709e+12 7.47147508e+11 2.97445102e+11 1.18415144e+11 4.71419704e+10 1.87675844e+10 7.47152611e+09 2.97447804e+09 1.18416718e+09 4.71429303e+08 1.87681818e+08 7.47190113e+07 2.97471401e+07 1.18431594e+07 4.71523136e+06 1.87741002e+06 7.47563425e+05 2.97706865e+05 1.18580085e+05 4.72459362e+04 1.88331114e+04 7.51281426e+03 3.00048159e+03 1.20053477e+03 4.81724729e+02 1.94153797e+02 7.87866312e+01 3.23061353e+01 1.34591716e+01 5.74578910e+00 2.54892250e+00 1.20394161e+00 6.31088194e-01 3.88770744e-01 2.94051861e-01 2.69897662e-01 2.83279399e-01 3.19776382e-01 3.72899661e-01 4.39388553e-01 2.58021174e+26 1.89530368e+26 1.38303151e+26 1.00137878e+26 7.18321431e+25 5.09497744e+25 3.56417044e+25 2.45079120e+25 1.64913144e+25 1.07958951e+25 6.82331961e+24 4.12342615e+24 2.35513970e+24 1.25575199e+24 6.18523277e+23 2.80084090e+23 1.17075846e+23 4.57584267e+22 1.70253668e+22 6.14217246e+21 2.18255806e+21 7.73162821e+20 2.75441425e+20 9.92743611e+19 3.63323073e+19 1.35244106e+19 5.11981845e+18 1.96786665e+18 7.65919042e+17 3.00917592e+17 1.18974742e+17 4.72164683e+16 1.87746708e+16 7.47162318e+15 2.97429828e+15 1.18409566e+15 4.71404006e+14 1.87671459e+14 7.47139107e+13 2.97442847e+13 1.18414490e+13 4.71417493e+12 1.87674930e+12 7.47148072e+11 2.97445241e+11 1.18415179e+11 4.71419796e+10 1.87675866e+10 7.47152675e+09 2.97447814e+09 1.18416720e+09 4.71429314e+08 1.87681823e+08 7.47190103e+07 2.97471401e+07 1.18431596e+07 4.71523135e+06 1.87741004e+06 7.47563424e+05 2.97706865e+05 1.18580086e+05 4.72459361e+04 1.88331113e+04 7.51281427e+03 3.00048159e+03 1.20053477e+03 4.81724729e+02 1.94153796e+02 7.87866315e+01 3.23061355e+01 1.34591717e+01 5.74578896e+00 2.54892253e+00 1.20394161e+00 6.31088195e-01 3.88770751e-01 2.94051854e-01 2.69897662e-01 2.83279399e-01 3.19776379e-01 3.72899661e-01 6.48119885e+26 4.76078759e+26 3.47401808e+26 2.51534977e+26 1.80434186e+26 1.27980047e+26 8.95279136e+25 6.15610916e+25 4.14243090e+25 2.71180624e+25 1.71394040e+25 1.03575782e+25 5.91584346e+24 3.15430639e+24 1.55366023e+24 7.03539425e+23 2.94081229e+23 1.14939971e+23 4.27657878e+22 1.54284397e+22 5.48233798e+21 1.94209720e+21 6.91877577e+20 2.49365921e+20 9.12626298e+19 3.39717834e+19 1.28604025e+19 4.94305752e+18 1.92390165e+18 7.55870817e+17 2.98851039e+17 1.18602406e+17 4.71598408e+16 1.87678688e+16 7.47109948e+15 2.97431381e+15 1.18411332e+15 4.71409385e+14 1.87672855e+14 7.47142627e+13 2.97443735e+13 1.18414711e+13 4.71418050e+12 1.87675072e+12 7.47148422e+11 2.97445328e+11 1.18415202e+11 4.71419851e+10 1.87675882e+10 7.47152701e+09 2.97447822e+09 1.18416723e+09 4.71429327e+08 1.87681821e+08 7.47190104e+07 2.97471405e+07 1.18431596e+07 4.71523139e+06 1.87741004e+06 7.47563423e+05 2.97706865e+05 1.18580085e+05 4.72459360e+04 1.88331114e+04 7.51281427e+03 3.00048159e+03 1.20053477e+03 4.81724726e+02 1.94153797e+02 7.87866322e+01 3.23061358e+01 1.34591714e+01 5.74578903e+00 2.54892252e+00 1.20394161e+00 6.31088206e-01 3.88770743e-01 2.94051855e-01 2.69897663e-01 2.83279397e-01 3.19776379e-01 1.62800355e+27 1.19585577e+27 8.72633887e+26 6.31827296e+26 4.53230183e+26 3.21471344e+26 2.24883951e+26 1.54634471e+26 1.04053160e+26 6.81174931e+25 4.30522362e+25 2.60170601e+25 1.48599269e+25 7.92325941e+24 3.90261804e+24 1.76721114e+24 7.38698648e+23 2.88716154e+23 1.07422802e+23 3.87544882e+22 1.37710104e+22 4.87832760e+21 1.73791790e+21 6.26378872e+20 2.29241362e+20 8.53332617e+19 3.23038705e+19 1.24163991e+19 4.83262245e+18 1.89866165e+18 7.50679870e+17 2.97915774e+17 1.18460164e+17 4.71427550e+16 1.87665534e+16 7.47113848e+15 2.97435816e+15 1.18412683e+15 4.71412891e+14 1.87673739e+14 7.47144858e+13 2.97444290e+13 1.18414851e+13 4.71418406e+12 1.87675160e+12 7.47148642e+11 2.97445387e+11 1.18415216e+11 4.71419891e+10 1.87675888e+10 7.47152720e+09 2.97447829e+09 1.18416727e+09 4.71429321e+08 1.87681821e+08 7.47190113e+07 2.97471405e+07 1.18431597e+07 4.71523138e+06 1.87741004e+06 7.47563424e+05 2.97706864e+05 1.18580085e+05 4.72459361e+04 1.88331114e+04 7.51281426e+03 3.00048159e+03 1.20053476e+03 4.81724728e+02 1.94153799e+02 7.87866328e+01 3.23061350e+01 1.34591716e+01 5.74578901e+00 2.54892253e+00 1.20394163e+00 6.31088193e-01 3.88770743e-01 2.94051855e-01 2.69897661e-01 2.83279397e-01 4.08936002e+27 3.00385389e+27 2.19195722e+27 1.58707841e+27 1.13846275e+27 8.07499507e+26 5.64882946e+26 3.88424229e+26 2.61369720e+26 1.71103407e+26 1.08142328e+26 6.53519004e+25 3.73264488e+25 1.99023278e+25 9.80293331e+24 4.43903367e+24 1.85552711e+24 7.25222189e+23 2.69833879e+23 9.73468732e+22 3.45912141e+22 1.22538049e+22 4.36545239e+21 1.57339259e+21 5.75828266e+20 2.14347462e+20 8.11436541e+19 3.11885845e+19 1.21389988e+19 4.76922243e+18 1.88562258e+18 7.48330591e+17 2.97558479e+17 1.18417247e+17 4.71394507e+16 1.87666513e+16 7.47124987e+15 2.97439210e+15 1.18413563e+15 4.71415112e+14 1.87674299e+14 7.47146252e+13 2.97444641e+13 1.18414940e+13 4.71418626e+12 1.87675215e+12 7.47148789e+11 2.97445421e+11 1.18415226e+11 4.71419908e+10 1.87675893e+10 7.47152738e+09 2.97447837e+09 1.18416725e+09 4.71429322e+08 1.87681823e+08 7.47190112e+07 2.97471407e+07 1.18431597e+07 4.71523138e+06 1.87741004e+06 7.47563422e+05 2.97706864e+05 1.18580085e+05 4.72459361e+04 1.88331113e+04 7.51281426e+03 3.00048157e+03 1.20053477e+03 4.81724733e+02 1.94153800e+02 7.87866310e+01 3.23061354e+01 1.34591715e+01 5.74578902e+00 2.54892257e+00 1.20394161e+00 6.31088194e-01 3.88770744e-01 2.94051853e-01 2.69897661e-01 # # uncertainties in the thermally averaged relativistic Gaunt factors 5.6599e-04 4.4046e-04 3.0947e-04 2.9226e-04 2.2230e-04 1.7342e-04 1.4364e-04 1.0877e-04 8.4745e-05 6.2719e-05 4.9355e-05 3.9752e-05 3.5002e-05 2.6562e-05 2.0302e-05 1.7476e-05 1.6236e-05 1.5849e-05 1.5277e-05 1.5445e-05 1.4598e-05 1.4804e-05 1.4961e-05 1.4893e-05 1.6063e-05 1.5698e-05 1.5604e-05 1.5557e-05 1.5513e-05 1.5503e-05 1.5479e-05 1.5470e-05 1.5462e-05 1.5464e-05 1.5461e-05 1.5465e-05 1.5458e-05 1.5457e-05 1.5457e-05 1.5457e-05 1.5463e-05 1.5457e-05 1.5456e-05 1.5453e-05 1.5456e-05 1.5456e-05 1.5467e-05 1.5461e-05 1.5470e-05 1.5456e-05 1.5459e-05 1.5457e-05 1.5481e-05 1.5459e-05 1.5446e-05 1.5455e-05 1.5457e-05 1.5459e-05 1.5469e-05 1.5458e-05 1.5465e-05 1.5458e-05 1.5459e-05 1.5459e-05 1.5466e-05 1.5462e-05 1.5454e-05 1.5452e-05 1.5458e-05 1.5461e-05 1.5474e-05 1.5450e-05 1.5469e-05 1.5461e-05 1.5461e-05 1.5480e-05 1.5467e-05 1.5466e-05 1.5462e-05 1.5453e-05 1.5455e-05 5.6003e-04 4.2634e-04 3.4282e-04 2.8017e-04 2.2206e-04 1.5854e-04 1.3477e-04 9.8118e-05 8.6529e-05 5.9919e-05 5.2053e-05 4.0179e-05 3.0383e-05 2.4312e-05 2.2782e-05 1.7997e-05 1.8022e-05 1.5514e-05 1.5034e-05 1.4610e-05 1.5917e-05 1.4796e-05 1.4934e-05 1.5024e-05 1.4811e-05 1.4686e-05 1.4611e-05 1.5181e-05 1.5132e-05 1.5118e-05 1.5092e-05 1.5082e-05 1.5073e-05 1.5075e-05 1.5071e-05 1.5075e-05 1.5068e-05 1.5067e-05 1.5067e-05 1.5067e-05 1.5073e-05 1.5067e-05 1.5066e-05 1.5063e-05 1.5066e-05 1.5066e-05 1.5077e-05 1.5071e-05 1.5080e-05 1.5066e-05 1.5068e-05 1.5067e-05 1.5091e-05 1.5069e-05 1.5056e-05 1.5065e-05 1.5067e-05 1.5069e-05 1.5079e-05 1.5068e-05 1.5075e-05 1.5067e-05 1.5069e-05 1.5069e-05 1.5076e-05 1.5072e-05 1.5064e-05 1.5062e-05 1.5068e-05 1.5071e-05 1.5083e-05 1.5060e-05 1.5079e-05 1.5071e-05 1.5071e-05 1.5090e-05 1.5077e-05 1.5076e-05 1.5072e-05 1.5063e-05 1.5065e-05 5.8689e-04 4.2900e-04 3.5196e-04 2.6771e-04 2.0117e-04 1.6236e-04 1.3370e-04 1.0354e-04 8.3839e-05 6.1471e-05 5.1034e-05 3.8919e-05 3.1243e-05 2.2819e-05 2.0812e-05 1.9711e-05 1.7329e-05 1.5140e-05 1.5600e-05 1.5364e-05 1.3789e-05 1.4505e-05 1.5524e-05 1.4791e-05 1.4622e-05 1.4524e-05 1.4467e-05 1.4444e-05 1.4415e-05 1.4963e-05 1.4939e-05 1.4930e-05 1.4921e-05 1.4924e-05 1.4920e-05 1.4924e-05 1.4917e-05 1.4916e-05 1.4916e-05 1.4916e-05 1.4922e-05 1.4916e-05 1.4915e-05 1.4912e-05 1.4915e-05 1.4916e-05 1.4926e-05 1.4920e-05 1.4929e-05 1.4915e-05 1.4918e-05 1.4916e-05 1.4940e-05 1.4918e-05 1.4905e-05 1.4914e-05 1.4916e-05 1.4919e-05 1.4928e-05 1.4917e-05 1.4924e-05 1.4917e-05 1.4918e-05 1.4918e-05 1.4925e-05 1.4921e-05 1.4913e-05 1.4911e-05 1.4918e-05 1.4920e-05 1.4933e-05 1.4909e-05 1.4928e-05 1.4920e-05 1.4920e-05 1.4939e-05 1.4926e-05 1.4925e-05 1.4921e-05 1.4912e-05 1.4914e-05 5.6988e-04 4.4384e-04 3.4637e-04 2.6695e-04 2.1592e-04 1.6758e-04 1.4428e-04 1.0372e-04 7.5478e-05 6.7167e-05 5.4106e-05 4.1032e-05 3.1460e-05 2.6417e-05 1.9196e-05 1.9665e-05 1.5422e-05 1.5486e-05 1.4799e-05 1.4806e-05 1.5327e-05 1.5475e-05 1.4917e-05 1.4063e-05 1.3841e-05 1.3710e-05 1.3632e-05 1.3595e-05 1.5012e-05 1.4996e-05 1.4970e-05 1.4959e-05 1.4950e-05 1.4952e-05 1.4947e-05 1.4951e-05 1.4944e-05 1.4943e-05 1.4943e-05 1.4943e-05 1.4949e-05 1.4943e-05 1.4942e-05 1.4939e-05 1.4942e-05 1.4942e-05 1.4953e-05 1.4947e-05 1.4955e-05 1.4942e-05 1.4944e-05 1.4943e-05 1.4966e-05 1.4945e-05 1.4932e-05 1.4941e-05 1.4943e-05 1.4945e-05 1.4955e-05 1.4944e-05 1.4951e-05 1.4943e-05 1.4945e-05 1.4945e-05 1.4952e-05 1.4948e-05 1.4940e-05 1.4938e-05 1.4944e-05 1.4947e-05 1.4959e-05 1.4936e-05 1.4954e-05 1.4947e-05 1.4947e-05 1.4965e-05 1.4953e-05 1.4951e-05 1.4947e-05 1.4939e-05 1.4941e-05 5.1425e-04 4.5355e-04 2.9964e-04 2.7401e-04 2.0691e-04 1.7215e-04 1.2473e-04 1.0794e-04 8.0150e-05 6.4616e-05 4.9832e-05 3.3280e-05 3.0761e-05 2.3685e-05 2.0748e-05 1.6037e-05 1.6230e-05 1.5267e-05 1.5285e-05 1.4542e-05 1.4698e-05 1.4837e-05 1.5273e-05 1.4969e-05 1.5330e-05 1.5171e-05 1.5076e-05 1.5312e-05 1.5274e-05 1.5266e-05 1.5245e-05 1.5237e-05 1.5230e-05 1.5232e-05 1.5229e-05 1.5233e-05 1.5227e-05 1.5226e-05 1.5226e-05 1.5226e-05 1.5231e-05 1.5226e-05 1.5225e-05 1.5222e-05 1.5225e-05 1.5225e-05 1.5235e-05 1.5230e-05 1.5238e-05 1.5225e-05 1.5227e-05 1.5226e-05 1.5248e-05 1.5227e-05 1.5216e-05 1.5224e-05 1.5226e-05 1.5228e-05 1.5237e-05 1.5227e-05 1.5234e-05 1.5226e-05 1.5228e-05 1.5228e-05 1.5234e-05 1.5230e-05 1.5223e-05 1.5221e-05 1.5227e-05 1.5230e-05 1.5241e-05 1.5219e-05 1.5237e-05 1.5229e-05 1.5230e-05 1.5247e-05 1.5235e-05 1.5234e-05 1.5230e-05 1.5222e-05 1.5224e-05 5.4898e-04 4.3955e-04 3.3580e-04 2.6461e-04 2.0187e-04 1.6408e-04 1.2778e-04 1.0208e-04 7.6441e-05 6.2151e-05 4.9066e-05 3.7346e-05 3.0525e-05 2.6895e-05 2.0264e-05 1.6682e-05 1.5894e-05 1.5393e-05 1.3668e-05 1.4760e-05 1.4647e-05 1.4816e-05 1.3645e-05 1.3711e-05 1.3997e-05 1.3897e-05 1.3837e-05 1.4233e-05 1.4201e-05 1.4197e-05 1.4178e-05 1.4172e-05 1.4165e-05 1.4169e-05 1.4166e-05 1.4170e-05 1.4164e-05 1.4163e-05 1.4163e-05 1.4163e-05 1.4169e-05 1.4164e-05 1.4162e-05 1.4159e-05 1.4162e-05 1.4163e-05 1.4173e-05 1.4168e-05 1.4176e-05 1.4163e-05 1.4165e-05 1.4164e-05 1.4187e-05 1.4165e-05 1.4153e-05 1.4161e-05 1.4163e-05 1.4166e-05 1.4175e-05 1.4164e-05 1.4171e-05 1.4164e-05 1.4166e-05 1.4165e-05 1.4172e-05 1.4168e-05 1.4161e-05 1.4158e-05 1.4165e-05 1.4167e-05 1.4179e-05 1.4157e-05 1.4175e-05 1.4167e-05 1.4168e-05 1.4185e-05 1.4173e-05 1.4172e-05 1.4168e-05 1.4160e-05 1.4162e-05 5.1748e-04 3.9649e-04 3.4955e-04 2.3231e-04 2.0306e-04 1.5513e-04 1.3704e-04 9.5765e-05 7.7007e-05 6.1196e-05 5.2487e-05 3.7729e-05 2.6499e-05 2.2705e-05 2.0064e-05 1.6951e-05 1.5709e-05 1.5084e-05 1.4671e-05 1.4081e-05 1.5194e-05 1.4073e-05 1.4461e-05 1.4593e-05 1.3563e-05 1.4810e-05 1.4702e-05 1.4645e-05 1.4597e-05 1.4582e-05 1.4557e-05 1.4547e-05 1.4538e-05 1.4539e-05 1.4535e-05 1.4539e-05 1.4532e-05 1.4532e-05 1.4531e-05 1.4531e-05 1.4537e-05 1.4531e-05 1.4530e-05 1.4527e-05 1.4530e-05 1.4531e-05 1.4540e-05 1.4535e-05 1.4543e-05 1.4530e-05 1.4533e-05 1.4531e-05 1.4553e-05 1.4533e-05 1.4521e-05 1.4529e-05 1.4531e-05 1.4533e-05 1.4542e-05 1.4532e-05 1.4539e-05 1.4532e-05 1.4533e-05 1.4533e-05 1.4540e-05 1.4536e-05 1.4529e-05 1.4526e-05 1.4532e-05 1.4535e-05 1.4546e-05 1.4525e-05 1.4542e-05 1.4535e-05 1.4535e-05 1.4552e-05 1.4540e-05 1.4539e-05 1.4535e-05 1.4528e-05 1.4530e-05 5.1702e-04 4.0520e-04 3.3785e-04 2.6073e-04 2.0355e-04 1.5714e-04 1.2733e-04 9.8182e-05 7.8123e-05 6.1198e-05 4.3848e-05 3.9840e-05 3.1602e-05 2.3851e-05 1.7743e-05 1.7779e-05 1.3987e-05 1.5052e-05 1.4118e-05 1.3849e-05 1.4597e-05 1.3856e-05 1.4070e-05 1.4618e-05 1.4326e-05 1.4157e-05 1.4057e-05 1.4006e-05 1.3961e-05 1.3949e-05 1.3925e-05 1.3915e-05 1.3907e-05 1.3909e-05 1.3905e-05 1.3909e-05 1.3902e-05 1.3902e-05 1.3901e-05 1.3901e-05 1.3907e-05 1.3902e-05 1.3900e-05 1.3898e-05 1.3901e-05 1.3901e-05 1.3911e-05 1.3905e-05 1.3914e-05 1.3901e-05 1.3903e-05 1.3902e-05 1.3924e-05 1.3903e-05 1.3891e-05 1.3899e-05 1.3902e-05 1.3904e-05 1.3913e-05 1.3902e-05 1.3909e-05 1.3902e-05 1.3904e-05 1.3903e-05 1.3910e-05 1.3906e-05 1.3899e-05 1.3896e-05 1.3903e-05 1.3905e-05 1.3917e-05 1.3895e-05 1.3912e-05 1.3905e-05 1.3906e-05 1.3923e-05 1.3911e-05 1.3910e-05 1.3906e-05 1.3898e-05 1.3900e-05 5.3458e-04 3.9918e-04 3.2808e-04 2.6926e-04 1.7943e-04 1.5175e-04 1.1767e-04 1.0159e-04 7.8134e-05 6.0358e-05 4.7767e-05 3.4070e-05 2.9887e-05 2.1900e-05 1.9638e-05 1.6454e-05 1.5155e-05 1.5501e-05 1.3236e-05 1.3939e-05 1.3933e-05 1.3796e-05 1.3633e-05 1.3397e-05 1.3255e-05 1.4529e-05 1.4417e-05 1.4358e-05 1.4308e-05 1.4292e-05 1.4266e-05 1.4255e-05 1.4246e-05 1.4247e-05 1.4243e-05 1.4246e-05 1.4240e-05 1.4239e-05 1.4239e-05 1.4239e-05 1.4244e-05 1.4239e-05 1.4237e-05 1.4235e-05 1.4238e-05 1.4238e-05 1.4248e-05 1.4242e-05 1.4250e-05 1.4238e-05 1.4240e-05 1.4239e-05 1.4260e-05 1.4240e-05 1.4229e-05 1.4237e-05 1.4239e-05 1.4241e-05 1.4249e-05 1.4240e-05 1.4246e-05 1.4239e-05 1.4241e-05 1.4240e-05 1.4247e-05 1.4243e-05 1.4236e-05 1.4234e-05 1.4240e-05 1.4242e-05 1.4253e-05 1.4232e-05 1.4249e-05 1.4242e-05 1.4243e-05 1.4259e-05 1.4248e-05 1.4246e-05 1.4243e-05 1.4235e-05 1.4237e-05 5.3316e-04 4.2595e-04 3.1205e-04 2.3502e-04 1.9171e-04 1.5613e-04 1.2086e-04 1.0417e-04 7.6778e-05 5.6877e-05 4.7190e-05 3.5444e-05 2.9760e-05 2.5181e-05 1.8104e-05 1.5928e-05 1.4876e-05 1.4299e-05 1.3560e-05 1.3691e-05 1.3636e-05 1.2761e-05 1.2228e-05 1.4512e-05 1.4039e-05 1.3895e-05 1.3809e-05 1.3767e-05 1.3727e-05 1.3718e-05 1.3696e-05 1.3688e-05 1.3680e-05 1.3682e-05 1.3679e-05 1.3683e-05 1.3677e-05 1.3676e-05 1.3676e-05 1.3676e-05 1.3681e-05 1.3676e-05 1.3674e-05 1.3672e-05 1.3675e-05 1.3675e-05 1.3685e-05 1.3680e-05 1.3687e-05 1.3675e-05 1.3677e-05 1.3676e-05 1.3697e-05 1.3677e-05 1.3666e-05 1.3674e-05 1.3676e-05 1.3678e-05 1.3687e-05 1.3677e-05 1.3683e-05 1.3676e-05 1.3678e-05 1.3677e-05 1.3684e-05 1.3680e-05 1.3673e-05 1.3671e-05 1.3677e-05 1.3679e-05 1.3691e-05 1.3669e-05 1.3686e-05 1.3679e-05 1.3680e-05 1.3696e-05 1.3685e-05 1.3683e-05 1.3680e-05 1.3672e-05 1.3674e-05 5.4657e-04 3.8369e-04 3.0686e-04 2.5231e-04 2.0692e-04 1.4181e-04 1.2123e-04 8.7405e-05 7.1001e-05 5.1637e-05 4.6594e-05 3.6314e-05 2.6946e-05 2.3501e-05 2.1094e-05 1.5999e-05 1.6363e-05 1.3746e-05 1.3484e-05 1.2953e-05 1.2802e-05 1.3921e-05 1.3667e-05 1.3815e-05 1.3637e-05 1.3865e-05 1.3787e-05 1.3741e-05 1.3700e-05 1.3689e-05 1.3667e-05 1.3658e-05 1.3650e-05 1.3652e-05 1.3649e-05 1.3652e-05 1.3646e-05 1.3645e-05 1.3645e-05 1.3645e-05 1.3650e-05 1.3645e-05 1.3644e-05 1.3641e-05 1.3644e-05 1.3645e-05 1.3654e-05 1.3649e-05 1.3656e-05 1.3644e-05 1.3646e-05 1.3645e-05 1.3666e-05 1.3647e-05 1.3636e-05 1.3643e-05 1.3645e-05 1.3647e-05 1.3656e-05 1.3646e-05 1.3652e-05 1.3646e-05 1.3647e-05 1.3647e-05 1.3653e-05 1.3649e-05 1.3643e-05 1.3640e-05 1.3646e-05 1.3649e-05 1.3660e-05 1.3639e-05 1.3655e-05 1.3648e-05 1.3649e-05 1.3665e-05 1.3654e-05 1.3653e-05 1.3649e-05 1.3642e-05 1.3644e-05 5.3743e-04 3.5456e-04 3.2790e-04 2.3990e-04 1.8062e-04 1.3399e-04 1.1904e-04 9.8507e-05 7.4747e-05 5.7276e-05 4.4659e-05 3.4431e-05 2.5003e-05 2.0209e-05 1.9029e-05 1.7396e-05 1.4252e-05 1.4059e-05 1.3232e-05 1.3610e-05 1.2213e-05 1.3287e-05 1.4226e-05 1.3866e-05 1.2857e-05 1.2764e-05 1.2835e-05 1.2801e-05 1.2766e-05 1.2760e-05 1.2740e-05 1.2733e-05 1.2727e-05 1.2730e-05 1.2726e-05 1.2731e-05 1.2724e-05 1.2724e-05 1.2724e-05 1.2724e-05 1.2729e-05 1.2724e-05 1.2723e-05 1.2720e-05 1.2723e-05 1.2723e-05 1.2733e-05 1.2728e-05 1.2736e-05 1.2723e-05 1.2725e-05 1.2724e-05 1.2746e-05 1.2725e-05 1.2714e-05 1.2722e-05 1.2724e-05 1.2726e-05 1.2735e-05 1.2725e-05 1.2731e-05 1.2724e-05 1.2726e-05 1.2725e-05 1.2732e-05 1.2728e-05 1.2721e-05 1.2719e-05 1.2725e-05 1.2728e-05 1.2739e-05 1.2717e-05 1.2734e-05 1.2727e-05 1.2728e-05 1.2745e-05 1.2733e-05 1.2732e-05 1.2728e-05 1.2720e-05 1.2722e-05 5.1074e-04 3.9692e-04 3.1434e-04 2.3808e-04 1.9374e-04 1.5137e-04 1.2111e-04 9.2798e-05 6.2168e-05 5.7545e-05 4.2847e-05 3.6486e-05 2.7822e-05 2.3255e-05 1.6955e-05 1.5815e-05 1.3618e-05 1.4151e-05 1.2823e-05 1.3113e-05 1.2977e-05 1.2586e-05 1.3506e-05 1.3168e-05 1.2968e-05 1.2850e-05 1.2780e-05 1.2747e-05 1.2713e-05 1.2707e-05 1.2687e-05 1.2681e-05 1.2674e-05 1.2677e-05 1.2674e-05 1.2678e-05 1.2672e-05 1.2671e-05 1.2671e-05 1.2671e-05 1.2676e-05 1.2671e-05 1.2670e-05 1.2667e-05 1.2670e-05 1.2670e-05 1.2680e-05 1.2675e-05 1.2683e-05 1.2670e-05 1.2672e-05 1.2671e-05 1.2692e-05 1.2672e-05 1.2661e-05 1.2669e-05 1.2671e-05 1.2673e-05 1.2682e-05 1.2672e-05 1.2678e-05 1.2671e-05 1.2673e-05 1.2673e-05 1.2679e-05 1.2675e-05 1.2668e-05 1.2666e-05 1.2672e-05 1.2675e-05 1.2686e-05 1.2665e-05 1.2681e-05 1.2674e-05 1.2675e-05 1.2691e-05 1.2680e-05 1.2679e-05 1.2675e-05 1.2668e-05 1.2669e-05 4.5584e-04 4.1382e-04 3.0839e-04 2.5876e-04 1.8421e-04 1.3841e-04 1.1164e-04 8.9792e-05 7.5295e-05 5.7491e-05 4.4417e-05 3.3206e-05 2.7286e-05 2.1221e-05 1.8308e-05 1.5417e-05 1.2982e-05 1.3457e-05 1.4377e-05 1.4078e-05 1.3178e-05 1.3059e-05 1.3381e-05 1.3119e-05 1.2932e-05 1.2823e-05 1.2759e-05 1.2730e-05 1.2699e-05 1.2694e-05 1.2676e-05 1.2670e-05 1.2664e-05 1.2667e-05 1.2664e-05 1.2668e-05 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