# # # 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) 14 # 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. # 2.36806775e+03 1.86276333e+03 1.46514114e+03 1.15228192e+03 9.06138452e+02 7.12501936e+02 5.60186242e+02 4.40385282e+02 3.46168107e+02 2.72079514e+02 2.13827739e+02 1.68037385e+02 1.32057179e+02 1.03809887e+02 8.16773594e+01 6.44135107e+01 5.10773360e+01 4.09726797e+01 3.35762740e+01 2.84441494e+01 2.51247162e+01 2.31365315e+01 2.20247303e+01 2.14320734e+01 2.11228099e+01 2.09608418e+01 2.08741436e+01 2.08262689e+01 2.07989581e+01 2.07829285e+01 2.07733058e+01 2.07674328e+01 2.07638068e+01 2.07615512e+01 2.07601404e+01 2.07592557e+01 2.07586998e+01 2.07583494e+01 2.07581288e+01 2.07579899e+01 2.07579018e+01 2.07578464e+01 2.07578117e+01 2.07577896e+01 2.07577759e+01 2.07577673e+01 2.07577615e+01 2.07577581e+01 2.07577558e+01 2.07577545e+01 2.07577537e+01 2.07577530e+01 2.07577526e+01 2.07577523e+01 2.07577521e+01 2.07577523e+01 2.07577523e+01 2.07577524e+01 2.07577519e+01 2.07577521e+01 2.07577518e+01 2.07577521e+01 2.07577525e+01 2.07577521e+01 2.07577520e+01 2.07577520e+01 2.07577519e+01 2.07577522e+01 2.07577522e+01 2.07577521e+01 2.07577523e+01 2.07577521e+01 2.07577519e+01 2.07577519e+01 2.07577522e+01 2.07577520e+01 2.07577523e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.34508000e+03 1.84450330e+03 1.45063697e+03 1.14076076e+03 8.96986907e+02 7.05232662e+02 5.54412001e+02 4.35798654e+02 3.42524737e+02 2.69185483e+02 2.11528756e+02 1.66210994e+02 1.30605924e+02 1.02656187e+02 8.07591306e+01 6.36807501e+01 5.04891437e+01 4.04949454e+01 3.31799503e+01 2.81046434e+01 2.48221132e+01 2.28560879e+01 2.17567003e+01 2.11706616e+01 2.08648522e+01 2.07046881e+01 2.06189560e+01 2.05716121e+01 2.05446078e+01 2.05287565e+01 2.05192402e+01 2.05134315e+01 2.05098456e+01 2.05076149e+01 2.05062197e+01 2.05053448e+01 2.05047950e+01 2.05044485e+01 2.05042303e+01 2.05040930e+01 2.05040059e+01 2.05039510e+01 2.05039168e+01 2.05038949e+01 2.05038813e+01 2.05038728e+01 2.05038671e+01 2.05038637e+01 2.05038614e+01 2.05038601e+01 2.05038594e+01 2.05038587e+01 2.05038583e+01 2.05038580e+01 2.05038578e+01 2.05038580e+01 2.05038580e+01 2.05038581e+01 2.05038576e+01 2.05038578e+01 2.05038575e+01 2.05038578e+01 2.05038581e+01 2.05038578e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038578e+01 2.05038578e+01 2.05038580e+01 2.05038578e+01 2.05038576e+01 2.05038576e+01 2.05038579e+01 2.05038576e+01 2.05038580e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.32209240e+03 1.82624387e+03 1.43613268e+03 1.12923961e+03 8.87835194e+02 6.97963298e+02 5.48637688e+02 4.31212034e+02 3.38881408e+02 2.66291389e+02 2.09229805e+02 1.64384609e+02 1.29154716e+02 1.01502488e+02 7.98409009e+01 6.29479803e+01 4.99009601e+01 4.00172105e+01 3.27836364e+01 2.77651371e+01 2.45195089e+01 2.25756428e+01 2.14886686e+01 2.09092492e+01 2.06068936e+01 2.04485347e+01 2.03637664e+01 2.03169564e+01 2.02902550e+01 2.02745814e+01 2.02651717e+01 2.02594286e+01 2.02558828e+01 2.02536770e+01 2.02522961e+01 2.02514310e+01 2.02508874e+01 2.02505448e+01 2.02503290e+01 2.02501932e+01 2.02501071e+01 2.02500528e+01 2.02500190e+01 2.02499973e+01 2.02499839e+01 2.02499755e+01 2.02499698e+01 2.02499665e+01 2.02499642e+01 2.02499629e+01 2.02499622e+01 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5.31314930e+02 4.17452055e+02 3.27951376e+02 2.57609169e+02 2.02332879e+02 1.58905452e+02 1.24800978e+02 9.80413876e+01 7.70862210e+01 6.07496860e+01 4.81364098e+01 3.85840015e+01 3.15946800e+01 2.67466237e+01 2.36116916e+01 2.17343155e+01 2.06845820e+01 2.01250154e+01 1.98330157e+01 1.96800773e+01 1.95982047e+01 1.95529907e+01 1.95271992e+01 1.95120583e+01 1.95029666e+01 1.94974187e+01 1.94939927e+01 1.94918619e+01 1.94905291e+01 1.94896933e+01 1.94891681e+01 1.94888372e+01 1.94886287e+01 1.94884975e+01 1.94884143e+01 1.94883619e+01 1.94883292e+01 1.94883083e+01 1.94882953e+01 1.94882872e+01 1.94882818e+01 1.94882785e+01 1.94882763e+01 1.94882751e+01 1.94882744e+01 1.94882737e+01 1.94882733e+01 1.94882731e+01 1.94882729e+01 1.94882730e+01 1.94882730e+01 1.94882731e+01 1.94882727e+01 1.94882729e+01 1.94882726e+01 1.94882728e+01 1.94882732e+01 1.94882729e+01 1.94882728e+01 1.94882728e+01 1.94882727e+01 1.94882729e+01 1.94882729e+01 1.94882728e+01 1.94882730e+01 1.94882728e+01 1.94882727e+01 1.94882727e+01 1.94882729e+01 1.94882727e+01 1.94882730e+01 1.94882728e+01 1.94882728e+01 1.94882727e+01 1.94882729e+01 2.23014205e+03 1.75320516e+03 1.37811588e+03 1.08315519e+03 8.51228959e+02 6.68885931e+02 5.25540701e+02 4.12865350e+02 3.24307990e+02 2.54715105e+02 2.00033891e+02 1.57079071e+02 1.23349769e+02 9.68876844e+01 7.61679871e+01 6.00169222e+01 4.75482201e+01 3.81062693e+01 3.11983655e+01 2.64071154e+01 2.33090861e+01 2.14538758e+01 2.04165485e+01 1.98636061e+01 1.95750576e+01 1.94239237e+01 1.93430164e+01 1.92983351e+01 1.92728443e+01 1.92578829e+01 1.92488973e+01 1.92434144e+01 1.92400291e+01 1.92379231e+01 1.92366060e+01 1.92357799e+01 1.92352609e+01 1.92349338e+01 1.92347278e+01 1.92345981e+01 1.92345159e+01 1.92344641e+01 1.92344318e+01 1.92344111e+01 1.92343983e+01 1.92343903e+01 1.92343849e+01 1.92343817e+01 1.92343795e+01 1.92343783e+01 1.92343776e+01 1.92343769e+01 1.92343766e+01 1.92343763e+01 1.92343761e+01 1.92343763e+01 1.92343763e+01 1.92343764e+01 1.92343759e+01 1.92343761e+01 1.92343758e+01 1.92343761e+01 1.92343764e+01 1.92343761e+01 1.92343760e+01 1.92343760e+01 1.92343759e+01 1.92343762e+01 1.92343761e+01 1.92343761e+01 1.92343763e+01 1.92343761e+01 1.92343759e+01 1.92343759e+01 1.92343762e+01 1.92343760e+01 1.92343763e+01 1.92343761e+01 1.92343760e+01 1.92343759e+01 1.92343761e+01 2.20715416e+03 1.73494527e+03 1.36361169e+03 1.07163409e+03 8.42077693e+02 6.61616590e+02 5.19766472e+02 4.08278661e+02 3.20664605e+02 2.51821033e+02 1.97734959e+02 1.55252684e+02 1.21898518e+02 9.57339914e+01 7.52497696e+01 5.92841481e+01 4.69600331e+01 3.76285304e+01 3.08020445e+01 2.60676051e+01 2.30064816e+01 2.11734346e+01 2.01485200e+01 1.96021953e+01 1.93170979e+01 1.91677724e+01 1.90878302e+01 1.90436804e+01 1.90184912e+01 1.90037061e+01 1.89948294e+01 1.89894115e+01 1.89860663e+01 1.89839853e+01 1.89826838e+01 1.89818676e+01 1.89813547e+01 1.89810315e+01 1.89808279e+01 1.89806998e+01 1.89806185e+01 1.89805673e+01 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3.91662832e+00 1.93693192e+00 1.09201577e+00 7.41108631e-01 6.15179825e-01 5.97823524e-01 6.35958213e-01 7.02921458e-01 7.82991462e-01 2.42559884e+25 1.81820423e+25 1.35805616e+25 1.01028021e+25 7.48119506e+24 5.51070675e+24 4.03444117e+24 2.93251384e+24 2.11347270e+24 1.50768394e+24 1.06223400e+24 7.37009726e+23 5.01679576e+23 3.33368730e+23 2.14864161e+23 1.33220581e+23 7.86681479e+22 4.37535138e+22 2.26845737e+22 1.08964402e+22 4.85731673e+21 2.03113965e+21 8.10588017e+20 3.14559716e+20 1.20604396e+20 4.62004660e+19 1.77978792e+19 6.91339600e+18 2.70789805e+18 1.06794303e+18 4.23201124e+17 1.68183999e+17 6.69312950e+16 2.66500328e+16 1.06122687e+16 4.22570346e+15 1.68252402e+15 6.69886772e+14 2.66702343e+14 1.06180042e+14 4.22720228e+13 1.68290440e+13 6.69982605e+12 2.66726484e+12 1.06186147e+12 4.22735829e+11 1.68294521e+11 6.69993876e+10 2.66729962e+10 1.06187428e+10 4.22741617e+09 1.68297598e+09 6.70011840e+08 2.66740933e+08 1.06194258e+08 4.22784489e+07 1.68324590e+07 6.70181987e+06 2.66848223e+06 1.06261926e+06 4.23211220e+05 1.68593669e+05 6.71878242e+04 2.67917139e+04 1.06935186e+04 4.27449144e+03 1.71259277e+03 6.88631379e+02 2.78440119e+02 1.13546064e+02 4.69072410e+01 1.97644072e+01 8.58604334e+00 3.91662832e+00 1.93693194e+00 1.09201576e+00 7.41108643e-01 6.15179819e-01 5.97823522e-01 6.35958211e-01 7.02921465e-01 6.09282880e+25 4.56712253e+25 3.41128283e+25 2.53770915e+25 1.87919124e+25 1.38422695e+25 1.01340580e+25 7.36614173e+24 5.30880341e+24 3.78713084e+24 2.66821116e+24 1.85128473e+24 1.26016212e+24 8.37384389e+23 5.39714370e+23 3.34634969e+23 1.97605453e+23 1.09903858e+23 5.69810728e+22 2.73706202e+22 1.22010280e+22 5.10199213e+21 2.03610504e+21 7.90138283e+20 3.02944547e+20 1.16050324e+20 4.47062512e+19 1.73656656e+19 6.80193237e+18 2.68255162e+18 1.06303316e+18 4.22459104e+17 1.68123812e+17 6.69418557e+16 2.66568138e+16 1.06144871e+16 4.22630922e+15 1.68267947e+15 6.69925985e+14 2.66712201e+14 1.06182516e+14 4.22726445e+13 1.68292004e+13 6.69986526e+12 2.66727472e+12 1.06186395e+12 4.22736446e+11 1.68294677e+11 6.69994266e+10 2.66730061e+10 1.06187453e+10 4.22741675e+09 1.68297613e+09 6.70011877e+08 2.66740943e+08 1.06194262e+08 4.22784496e+07 1.68324593e+07 6.70181976e+06 2.66848227e+06 1.06261924e+06 4.23211226e+05 1.68593672e+05 6.71878232e+04 2.67917138e+04 1.06935186e+04 4.27449142e+03 1.71259279e+03 6.88631378e+02 2.78440118e+02 1.13546065e+02 4.69072405e+01 1.97644071e+01 8.58604334e+00 3.91662837e+00 1.93693192e+00 1.09201578e+00 7.41108635e-01 6.15179817e-01 5.97823521e-01 6.35958217e-01 1.53044940e+26 1.14720931e+26 8.56875506e+25 6.37443717e+25 4.72031497e+25 3.47702090e+25 2.54556028e+25 1.85029115e+25 1.33351112e+25 9.51284256e+24 6.70224342e+24 4.65021699e+24 3.16538413e+24 2.10341449e+24 1.35570120e+24 8.40565038e+23 4.96362457e+23 2.76066009e+23 1.43129984e+23 6.87518896e+22 3.06475966e+22 1.28156248e+22 5.11446463e+21 1.98473763e+21 7.60962297e+20 2.91505234e+20 1.12297026e+20 4.36205798e+19 1.70856816e+19 6.73826501e+18 2.67021857e+18 1.06116929e+18 4.22307921e+17 1.68150339e+17 6.69588887e+16 2.66623861e+16 1.06160087e+16 4.22669971e+15 1.68277797e+15 6.69950747e+14 2.66718415e+14 1.06184078e+14 4.22730374e+13 1.68292989e+13 6.69989007e+12 2.66728096e+12 1.06186550e+12 4.22736839e+11 1.68294775e+11 6.69994516e+10 2.66730125e+10 1.06187468e+10 4.22741714e+09 1.68297622e+09 6.70011901e+08 2.66740952e+08 1.06194264e+08 4.22784503e+07 1.68324590e+07 6.70181986e+06 2.66848223e+06 1.06261926e+06 4.23211234e+05 1.68593670e+05 6.71878230e+04 2.67917138e+04 1.06935186e+04 4.27449147e+03 1.71259279e+03 6.88631376e+02 2.78440121e+02 1.13546064e+02 4.69072402e+01 1.97644070e+01 8.58604345e+00 3.91662832e+00 1.93693195e+00 1.09201576e+00 7.41108633e-01 6.15179815e-01 5.97823526e-01 3.84431508e+26 2.88165950e+26 2.15237396e+26 1.60118622e+26 1.18568951e+26 8.73388161e+25 6.39415834e+25 4.64772123e+25 3.34962850e+25 2.38951801e+25 1.68352743e+25 1.16808170e+25 7.95108545e+24 5.28353831e+24 3.40536746e+24 2.11140391e+24 1.24680612e+24 6.93446461e+23 3.59526264e+23 1.72696939e+23 7.69832822e+22 3.21913940e+22 1.28469543e+22 4.98543553e+21 1.91145087e+21 7.32228041e+20 2.82077375e+20 1.09569943e+20 4.29172918e+19 1.69257564e+19 6.70728580e+18 2.66553674e+18 1.06078954e+18 4.22374554e+17 1.68193124e+17 6.69728859e+16 2.66662083e+16 1.06169896e+16 4.22694713e+15 1.68284017e+15 6.69966356e+14 2.66722337e+14 1.06185065e+14 4.22732847e+13 1.68293612e+13 6.69990574e+12 2.66728485e+12 1.06186649e+12 4.22737085e+11 1.68294838e+11 6.69994676e+10 2.66730162e+10 1.06187477e+10 4.22741737e+09 1.68297628e+09 6.70011924e+08 2.66740956e+08 1.06194266e+08 4.22784496e+07 1.68324593e+07 6.70181977e+06 2.66848227e+06 1.06261928e+06 4.23211228e+05 1.68593669e+05 6.71878230e+04 2.67917137e+04 1.06935187e+04 4.27449147e+03 1.71259278e+03 6.88631383e+02 2.78440118e+02 1.13546063e+02 4.69072401e+01 1.97644073e+01 8.58604335e+00 3.91662839e+00 1.93693193e+00 1.09201576e+00 7.41108631e-01 6.15179820e-01 9.65648289e+26 7.23840140e+26 5.40651894e+26 4.02199795e+26 2.97831740e+26 2.19385187e+26 1.60613996e+26 1.16745479e+26 8.41388638e+25 6.00219788e+25 4.22882971e+25 2.93408857e+25 1.99722236e+25 1.32716482e+25 8.55389632e+24 5.30360684e+24 3.13183538e+24 1.74185876e+24 9.03089144e+23 4.33795097e+23 1.93373262e+23 8.08611259e+22 3.22700902e+22 1.25228479e+22 4.80134750e+21 1.83927368e+21 7.08546332e+20 2.75227252e+20 1.07803363e+20 4.25155779e+19 1.68479402e+19 6.69552557e+18 2.66458284e+18 1.06095691e+18 4.22482025e+17 1.68228283e+17 6.69824866e+16 2.66686721e+16 1.06176111e+16 4.22710337e+15 1.68287938e+15 6.69976208e+14 2.66724816e+14 1.06185686e+14 4.22734413e+13 1.68294006e+13 6.69991552e+12 2.66728733e+12 1.06186711e+12 4.22737243e+11 1.68294878e+11 6.69994769e+10 2.66730186e+10 1.06187483e+10 4.22741752e+09 1.68297634e+09 6.70011935e+08 2.66740961e+08 1.06194264e+08 4.22784502e+07 1.68324591e+07 6.70181987e+06 2.66848232e+06 1.06261926e+06 4.23211226e+05 1.68593669e+05 6.71878226e+04 2.67917140e+04 1.06935187e+04 4.27449145e+03 1.71259280e+03 6.88631376e+02 2.78440116e+02 1.13546063e+02 4.69072407e+01 1.97644071e+01 8.58604349e+00 3.91662835e+00 1.93693192e+00 1.09201576e+00 7.41108637e-01 2.42559884e+27 1.81820423e+27 1.35805616e+27 1.01028021e+27 7.48119506e+26 5.51070675e+26 4.03444117e+26 2.93251384e+26 2.11347270e+26 1.50768394e+26 1.06223400e+26 7.37009726e+25 5.01679576e+25 3.33368730e+25 2.14864161e+25 1.33220581e+25 7.86681479e+24 4.37535138e+24 2.26845737e+24 1.08964402e+24 4.85731673e+23 2.03113965e+23 8.10588017e+22 3.14559716e+22 1.20604396e+22 4.62004660e+21 1.77978792e+21 6.91339600e+20 2.70789805e+20 1.06794303e+20 4.23201123e+19 1.68183998e+19 6.69312948e+18 2.66500327e+18 1.06122687e+18 4.22570342e+17 1.68252399e+17 6.69886754e+16 2.66702332e+16 1.06180036e+16 4.22720186e+15 1.68290413e+15 6.69982435e+14 2.66726377e+14 1.06186079e+14 4.22735402e+13 1.68294251e+13 6.69992175e+12 2.66728888e+12 1.06186750e+12 4.22737344e+11 1.68294902e+11 6.69994830e+10 2.66730201e+10 1.06187487e+10 4.22741767e+09 1.68297637e+09 6.70011946e+08 2.66740957e+08 1.06194266e+08 4.22784497e+07 1.68324593e+07 6.70182000e+06 2.66848228e+06 1.06261926e+06 4.23211226e+05 1.68593668e+05 6.71878234e+04 2.67917140e+04 1.06935186e+04 4.27449150e+03 1.71259278e+03 6.88631371e+02 2.78440116e+02 1.13546064e+02 4.69072402e+01 1.97644074e+01 8.58604339e+00 3.91662833e+00 1.93693192e+00 1.09201577e+00 6.09282880e+27 4.56712253e+27 3.41128283e+27 2.53770915e+27 1.87919124e+27 1.38422695e+27 1.01340580e+27 7.36614173e+26 5.30880341e+26 3.78713084e+26 2.66821116e+26 1.85128473e+26 1.26016212e+26 8.37384389e+25 5.39714370e+25 3.34634969e+25 1.97605453e+25 1.09903858e+25 5.69810728e+24 2.73706202e+24 1.22010280e+24 5.10199213e+23 2.03610504e+23 7.90138283e+22 3.02944547e+22 1.16050324e+22 4.47062512e+21 1.73656656e+21 6.80193237e+20 2.68255162e+20 1.06303316e+20 4.22459103e+19 1.68123811e+19 6.69418555e+18 2.66568137e+18 1.06144871e+18 4.22630918e+17 1.68267945e+17 6.69925968e+16 2.66712190e+16 1.06182509e+16 4.22726402e+15 1.68291977e+15 6.69986356e+14 2.66727365e+14 1.06186328e+14 4.22736019e+13 1.68294408e+13 6.69992565e+12 2.66728988e+12 1.06186776e+12 4.22737403e+11 1.68294917e+11 6.69994866e+10 2.66730210e+10 1.06187491e+10 4.22741774e+09 1.68297640e+09 6.70011936e+08 2.66740961e+08 1.06194264e+08 4.22784503e+07 1.68324596e+07 6.70181990e+06 2.66848227e+06 1.06261926e+06 4.23211224e+05 1.68593670e+05 6.71878234e+04 2.67917139e+04 1.06935188e+04 4.27449145e+03 1.71259277e+03 6.88631371e+02 2.78440119e+02 1.13546063e+02 4.69072410e+01 1.97644072e+01 8.58604337e+00 3.91662832e+00 1.93693193e+00 1.53044940e+28 1.14720931e+28 8.56875506e+27 6.37443717e+27 4.72031497e+27 3.47702090e+27 2.54556028e+27 1.85029115e+27 1.33351112e+27 9.51284256e+26 6.70224342e+26 4.65021699e+26 3.16538413e+26 2.10341449e+26 1.35570120e+26 8.40565038e+25 4.96362457e+25 2.76066009e+25 1.43129984e+25 6.87518896e+24 3.06475966e+24 1.28156248e+24 5.11446463e+23 1.98473763e+23 7.60962297e+22 2.91505234e+22 1.12297026e+22 4.36205798e+21 1.70856816e+21 6.73826500e+20 2.67021857e+20 1.06116929e+20 4.22307921e+19 1.68150339e+19 6.69588885e+18 2.66623860e+18 1.06160087e+18 4.22669967e+17 1.68277795e+17 6.69950730e+16 2.66718404e+16 1.06184071e+16 4.22730331e+15 1.68292962e+15 6.69988837e+14 2.66727988e+14 1.06186483e+14 4.22736412e+13 1.68294506e+13 6.69992815e+12 2.66729052e+12 1.06186791e+12 4.22737441e+11 1.68294926e+11 6.69994891e+10 2.66730220e+10 1.06187492e+10 4.22741781e+09 1.68297637e+09 6.70011946e+08 2.66740957e+08 1.06194266e+08 4.22784511e+07 1.68324594e+07 6.70181987e+06 2.66848227e+06 1.06261925e+06 4.23211229e+05 1.68593670e+05 6.71878231e+04 2.67917142e+04 1.06935187e+04 4.27449142e+03 1.71259277e+03 6.88631379e+02 2.78440116e+02 1.13546065e+02 4.69072405e+01 1.97644071e+01 8.58604334e+00 3.91662836e+00 # # uncertainties in the thermally averaged relativistic Gaunt factors 1.6583e-03 1.3716e-03 1.0582e-03 8.2291e-04 6.3074e-04 5.1440e-04 3.8292e-04 2.9279e-04 2.3687e-04 1.9547e-04 1.4829e-04 1.1629e-04 9.6266e-05 7.2596e-05 6.1156e-05 4.5476e-05 3.3943e-05 2.9814e-05 2.3140e-05 1.9521e-05 1.8276e-05 1.5293e-05 1.5500e-05 1.4686e-05 1.4880e-05 1.4745e-05 1.5090e-05 1.4959e-05 1.6204e-05 1.5760e-05 1.5648e-05 1.5574e-05 1.5528e-05 1.5507e-05 1.5474e-05 1.5477e-05 1.5492e-05 1.5483e-05 1.5481e-05 1.5483e-05 1.5462e-05 1.5447e-05 1.5463e-05 1.5457e-05 1.5459e-05 1.5471e-05 1.5458e-05 1.5465e-05 1.5459e-05 1.5463e-05 1.5465e-05 1.5467e-05 1.5463e-05 1.5458e-05 1.5451e-05 1.5468e-05 1.5461e-05 1.5473e-05 1.5454e-05 1.5468e-05 1.5446e-05 1.5461e-05 1.5479e-05 1.5471e-05 1.5465e-05 1.5451e-05 1.5454e-05 1.5471e-05 1.5466e-05 1.5466e-05 1.5467e-05 1.5462e-05 1.5457e-05 1.5457e-05 1.5463e-05 1.5457e-05 1.5461e-05 1.5453e-05 1.5456e-05 1.5457e-05 1.5468e-05 1.6849e-03 1.3237e-03 1.0290e-03 7.8928e-04 6.1281e-04 4.4124e-04 3.7003e-04 3.1757e-04 2.4609e-04 1.9275e-04 1.5574e-04 1.1821e-04 9.2719e-05 7.1179e-05 5.6742e-05 4.4984e-05 3.6123e-05 2.8661e-05 2.4243e-05 1.9907e-05 1.7390e-05 1.6282e-05 1.5871e-05 1.5111e-05 1.5051e-05 1.5460e-05 1.5079e-05 1.5854e-05 1.4890e-05 1.4734e-05 1.4648e-05 1.5201e-05 1.5149e-05 1.5124e-05 1.5088e-05 1.5090e-05 1.5104e-05 1.5094e-05 1.5092e-05 1.5094e-05 1.5072e-05 1.5057e-05 1.5073e-05 1.5067e-05 1.5069e-05 1.5081e-05 1.5068e-05 1.5075e-05 1.5069e-05 1.5073e-05 1.5075e-05 1.5077e-05 1.5073e-05 1.5068e-05 1.5061e-05 1.5078e-05 1.5071e-05 1.5083e-05 1.5064e-05 1.5078e-05 1.5056e-05 1.5071e-05 1.5089e-05 1.5081e-05 1.5075e-05 1.5061e-05 1.5064e-05 1.5081e-05 1.5076e-05 1.5076e-05 1.5077e-05 1.5072e-05 1.5067e-05 1.5067e-05 1.5073e-05 1.5067e-05 1.5071e-05 1.5063e-05 1.5066e-05 1.5067e-05 1.5077e-05 1.6661e-03 1.3053e-03 1.0547e-03 7.9985e-04 6.3055e-04 4.8659e-04 3.9716e-04 3.0464e-04 2.4331e-04 1.9239e-04 1.2972e-04 1.1717e-04 8.4409e-05 7.3671e-05 5.8252e-05 4.4685e-05 3.5212e-05 2.7652e-05 2.0354e-05 2.0189e-05 1.6790e-05 1.7139e-05 1.6142e-05 1.6615e-05 1.4785e-05 1.5396e-05 1.5848e-05 1.5264e-05 1.4682e-05 1.4561e-05 1.4496e-05 1.4451e-05 1.4423e-05 1.4414e-05 1.4934e-05 1.4937e-05 1.4951e-05 1.4943e-05 1.4940e-05 1.4942e-05 1.4921e-05 1.4906e-05 1.4922e-05 1.4917e-05 1.4919e-05 1.4930e-05 1.4917e-05 1.4924e-05 1.4918e-05 1.4922e-05 1.4925e-05 1.4926e-05 1.4923e-05 1.4918e-05 1.4911e-05 1.4927e-05 1.4920e-05 1.4932e-05 1.4914e-05 1.4927e-05 1.4905e-05 1.4920e-05 1.4938e-05 1.4930e-05 1.4924e-05 1.4911e-05 1.4913e-05 1.4930e-05 1.4925e-05 1.4925e-05 1.4926e-05 1.4922e-05 1.4916e-05 1.4916e-05 1.4922e-05 1.4917e-05 1.4920e-05 1.4912e-05 1.4915e-05 1.4916e-05 1.4927e-05 1.5463e-03 1.3045e-03 8.7876e-04 7.9557e-04 5.6177e-04 5.0534e-04 3.5672e-04 2.8590e-04 2.1122e-04 1.8208e-04 1.4846e-04 1.2515e-04 9.0946e-05 7.1567e-05 5.5960e-05 4.3755e-05 3.4733e-05 2.7996e-05 2.1885e-05 1.7535e-05 1.5508e-05 1.6395e-05 1.5492e-05 1.5610e-05 1.4761e-05 1.4319e-05 1.5148e-05 1.4732e-05 1.3923e-05 1.3761e-05 1.3670e-05 1.3608e-05 1.3570e-05 1.5003e-05 1.4966e-05 1.4967e-05 1.4979e-05 1.4970e-05 1.4967e-05 1.4969e-05 1.4948e-05 1.4933e-05 1.4949e-05 1.4943e-05 1.4945e-05 1.4956e-05 1.4944e-05 1.4950e-05 1.4945e-05 1.4949e-05 1.4951e-05 1.4952e-05 1.4949e-05 1.4944e-05 1.4938e-05 1.4954e-05 1.4947e-05 1.4958e-05 1.4941e-05 1.4953e-05 1.4932e-05 1.4947e-05 1.4964e-05 1.4957e-05 1.4951e-05 1.4938e-05 1.4940e-05 1.4956e-05 1.4952e-05 1.4952e-05 1.4953e-05 1.4948e-05 1.4943e-05 1.4943e-05 1.4949e-05 1.4943e-05 1.4946e-05 1.4939e-05 1.4942e-05 1.4943e-05 1.4953e-05 1.5252e-03 1.3273e-03 1.0164e-03 8.5166e-04 6.1763e-04 4.9807e-04 3.7574e-04 3.0554e-04 2.4179e-04 1.8712e-04 1.4093e-04 1.0855e-04 8.7866e-05 6.2951e-05 5.3497e-05 3.8406e-05 3.4641e-05 2.7793e-05 2.1090e-05 1.8216e-05 1.6789e-05 1.5609e-05 1.5705e-05 1.4254e-05 1.4676e-05 1.5263e-05 1.5105e-05 1.5098e-05 1.5433e-05 1.5233e-05 1.5120e-05 1.5405e-05 1.5287e-05 1.5270e-05 1.5240e-05 1.5244e-05 1.5257e-05 1.5250e-05 1.5248e-05 1.5250e-05 1.5230e-05 1.5217e-05 1.5232e-05 1.5226e-05 1.5228e-05 1.5239e-05 1.5227e-05 1.5233e-05 1.5227e-05 1.5231e-05 1.5234e-05 1.5235e-05 1.5232e-05 1.5227e-05 1.5221e-05 1.5236e-05 1.5229e-05 1.5241e-05 1.5224e-05 1.5236e-05 1.5216e-05 1.5230e-05 1.5247e-05 1.5239e-05 1.5234e-05 1.5221e-05 1.5223e-05 1.5239e-05 1.5234e-05 1.5234e-05 1.5235e-05 1.5231e-05 1.5226e-05 1.5226e-05 1.5231e-05 1.5226e-05 1.5229e-05 1.5222e-05 1.5225e-05 1.5226e-05 1.5236e-05 1.5918e-03 1.2751e-03 9.6367e-04 7.2767e-04 5.9692e-04 4.3900e-04 3.8413e-04 2.5479e-04 2.2276e-04 1.7686e-04 1.4620e-04 1.0987e-04 9.7681e-05 6.7425e-05 5.5216e-05 4.2682e-05 3.0334e-05 2.7773e-05 2.5379e-05 1.7729e-05 1.5505e-05 1.5764e-05 1.4081e-05 1.4652e-05 1.5295e-05 1.4740e-05 1.3773e-05 1.3773e-05 1.3787e-05 1.3935e-05 1.3866e-05 1.3820e-05 1.4211e-05 1.4199e-05 1.4172e-05 1.4178e-05 1.4194e-05 1.4187e-05 1.4185e-05 1.4188e-05 1.4167e-05 1.4153e-05 1.4169e-05 1.4164e-05 1.4166e-05 1.4177e-05 1.4164e-05 1.4171e-05 1.4165e-05 1.4169e-05 1.4172e-05 1.4173e-05 1.4170e-05 1.4165e-05 1.4158e-05 1.4174e-05 1.4167e-05 1.4179e-05 1.4161e-05 1.4174e-05 1.4153e-05 1.4167e-05 1.4185e-05 1.4177e-05 1.4171e-05 1.4158e-05 1.4161e-05 1.4177e-05 1.4172e-05 1.4172e-05 1.4173e-05 1.4169e-05 1.4163e-05 1.4163e-05 1.4169e-05 1.4164e-05 1.4167e-05 1.4160e-05 1.4163e-05 1.4163e-05 1.4174e-05 1.5110e-03 1.1084e-03 1.0480e-03 7.7772e-04 6.6692e-04 4.6425e-04 3.9495e-04 2.8601e-04 2.3554e-04 1.8067e-04 1.4187e-04 1.1520e-04 8.0236e-05 7.2920e-05 5.0478e-05 4.3614e-05 3.3800e-05 2.3371e-05 2.0606e-05 1.9293e-05 1.6326e-05 1.5521e-05 1.4945e-05 1.4619e-05 1.4264e-05 1.4754e-05 1.5093e-05 1.4225e-05 1.4464e-05 1.3505e-05 1.4751e-05 1.4666e-05 1.4614e-05 1.4589e-05 1.4554e-05 1.4554e-05 1.4566e-05 1.4557e-05 1.4554e-05 1.4556e-05 1.4536e-05 1.4522e-05 1.4537e-05 1.4532e-05 1.4534e-05 1.4544e-05 1.4532e-05 1.4538e-05 1.4533e-05 1.4537e-05 1.4539e-05 1.4540e-05 1.4537e-05 1.4533e-05 1.4526e-05 1.4541e-05 1.4535e-05 1.4546e-05 1.4529e-05 1.4541e-05 1.4521e-05 1.4535e-05 1.4552e-05 1.4544e-05 1.4539e-05 1.4526e-05 1.4528e-05 1.4544e-05 1.4540e-05 1.4540e-05 1.4540e-05 1.4536e-05 1.4531e-05 1.4531e-05 1.4537e-05 1.4532e-05 1.4535e-05 1.4528e-05 1.4530e-05 1.4531e-05 1.4541e-05 1.6022e-03 1.2283e-03 9.7693e-04 7.4551e-04 5.6898e-04 4.9856e-04 3.4624e-04 2.9479e-04 2.2753e-04 1.6946e-04 1.2276e-04 1.1231e-04 8.1443e-05 6.3299e-05 5.1935e-05 4.2251e-05 3.2713e-05 2.6817e-05 2.1872e-05 1.9006e-05 1.5106e-05 1.4537e-05 1.4513e-05 1.4630e-05 1.5578e-05 1.4142e-05 1.4279e-05 1.3902e-05 1.4437e-05 1.4223e-05 1.4103e-05 1.4025e-05 1.3977e-05 1.3954e-05 1.3921e-05 1.3923e-05 1.3935e-05 1.3927e-05 1.3924e-05 1.3926e-05 1.3906e-05 1.3892e-05 1.3907e-05 1.3902e-05 1.3904e-05 1.3914e-05 1.3902e-05 1.3909e-05 1.3903e-05 1.3907e-05 1.3909e-05 1.3910e-05 1.3907e-05 1.3903e-05 1.3896e-05 1.3912e-05 1.3905e-05 1.3916e-05 1.3899e-05 1.3912e-05 1.3891e-05 1.3905e-05 1.3922e-05 1.3915e-05 1.3909e-05 1.3896e-05 1.3899e-05 1.3914e-05 1.3910e-05 1.3910e-05 1.3911e-05 1.3907e-05 1.3901e-05 1.3902e-05 1.3907e-05 1.3902e-05 1.3905e-05 1.3898e-05 1.3901e-05 1.3901e-05 1.3911e-05 1.4389e-03 1.1537e-03 9.0715e-04 7.3175e-04 5.5196e-04 5.0456e-04 3.5454e-04 3.0466e-04 2.1944e-04 1.8224e-04 1.3981e-04 1.0966e-04 8.3384e-05 6.8113e-05 5.1877e-05 3.9119e-05 3.4031e-05 2.4617e-05 2.3019e-05 1.7637e-05 1.6265e-05 1.4142e-05 1.3972e-05 1.4177e-05 1.3704e-05 1.3628e-05 1.4402e-05 1.3479e-05 1.3306e-05 1.3202e-05 1.4468e-05 1.4380e-05 1.4326e-05 1.4299e-05 1.4263e-05 1.4263e-05 1.4273e-05 1.4264e-05 1.4261e-05 1.4263e-05 1.4243e-05 1.4230e-05 1.4245e-05 1.4239e-05 1.4241e-05 1.4251e-05 1.4239e-05 1.4246e-05 1.4240e-05 1.4244e-05 1.4246e-05 1.4247e-05 1.4244e-05 1.4240e-05 1.4234e-05 1.4248e-05 1.4242e-05 1.4253e-05 1.4236e-05 1.4248e-05 1.4229e-05 1.4242e-05 1.4258e-05 1.4251e-05 1.4246e-05 1.4234e-05 1.4236e-05 1.4251e-05 1.4247e-05 1.4247e-05 1.4248e-05 1.4244e-05 1.4238e-05 1.4239e-05 1.4244e-05 1.4239e-05 1.4242e-05 1.4235e-05 1.4238e-05 1.4239e-05 1.4248e-05 1.5152e-03 1.2307e-03 9.4585e-04 7.5040e-04 5.6727e-04 4.6389e-04 3.5445e-04 2.6176e-04 2.2842e-04 1.7571e-04 1.3553e-04 9.3927e-05 8.2383e-05 6.4717e-05 5.4293e-05 4.0089e-05 3.2341e-05 2.6833e-05 2.1688e-05 1.7897e-05 1.5916e-05 1.3561e-05 1.3812e-05 1.3519e-05 1.3703e-05 1.3664e-05 1.4344e-05 1.3299e-05 1.4313e-05 1.3951e-05 1.3849e-05 1.3782e-05 1.3741e-05 1.3722e-05 1.3691e-05 1.3694e-05 1.3707e-05 1.3699e-05 1.3697e-05 1.3700e-05 1.3680e-05 1.3667e-05 1.3681e-05 1.3676e-05 1.3678e-05 1.3688e-05 1.3676e-05 1.3683e-05 1.3677e-05 1.3681e-05 1.3683e-05 1.3684e-05 1.3681e-05 1.3677e-05 1.3671e-05 1.3686e-05 1.3679e-05 1.3690e-05 1.3673e-05 1.3686e-05 1.3666e-05 1.3679e-05 1.3696e-05 1.3689e-05 1.3683e-05 1.3671e-05 1.3673e-05 1.3688e-05 1.3684e-05 1.3684e-05 1.3685e-05 1.3681e-05 1.3675e-05 1.3676e-05 1.3681e-05 1.3676e-05 1.3679e-05 1.3672e-05 1.3675e-05 1.3676e-05 1.3685e-05 1.5450e-03 1.1934e-03 9.7532e-04 7.0985e-04 5.6724e-04 4.2822e-04 3.6141e-04 2.8325e-04 2.2130e-04 1.7172e-04 1.3967e-04 1.0500e-04 8.3934e-05 6.7520e-05 5.1178e-05 3.9815e-05 3.1965e-05 2.4167e-05 1.9548e-05 1.7691e-05 1.5413e-05 1.5621e-05 1.3852e-05 1.3365e-05 1.3053e-05 1.3358e-05 1.2682e-05 1.3925e-05 1.3702e-05 1.3574e-05 1.3829e-05 1.3758e-05 1.3714e-05 1.3694e-05 1.3663e-05 1.3665e-05 1.3677e-05 1.3669e-05 1.3666e-05 1.3669e-05 1.3649e-05 1.3636e-05 1.3651e-05 1.3645e-05 1.3647e-05 1.3657e-05 1.3646e-05 1.3652e-05 1.3647e-05 1.3650e-05 1.3653e-05 1.3654e-05 1.3651e-05 1.3646e-05 1.3640e-05 1.3655e-05 1.3648e-05 1.3659e-05 1.3643e-05 1.3655e-05 1.3635e-05 1.3649e-05 1.3665e-05 1.3658e-05 1.3652e-05 1.3640e-05 1.3643e-05 1.3657e-05 1.3653e-05 1.3653e-05 1.3654e-05 1.3650e-05 1.3645e-05 1.3645e-05 1.3650e-05 1.3645e-05 1.3648e-05 1.3642e-05 1.3644e-05 1.3645e-05 1.3654e-05 1.5085e-03 1.1515e-03 9.5407e-04 7.3544e-04 5.7558e-04 4.1279e-04 3.5719e-04 2.8183e-04 2.3913e-04 1.7132e-04 1.3424e-04 1.1232e-04 7.3735e-05 6.3217e-05 4.9753e-05 3.9914e-05 3.1173e-05 2.2659e-05 1.8165e-05 1.8365e-05 1.4873e-05 1.4876e-05 1.4302e-05 1.3982e-05 1.3912e-05 1.3855e-05 1.4512e-05 1.3997e-05 1.2916e-05 1.2800e-05 1.2869e-05 1.2812e-05 1.2777e-05 1.2763e-05 1.2735e-05 1.2740e-05 1.2754e-05 1.2747e-05 1.2745e-05 1.2747e-05 1.2728e-05 1.2714e-05 1.2729e-05 1.2724e-05 1.2726e-05 1.2736e-05 1.2724e-05 1.2731e-05 1.2725e-05 1.2729e-05 1.2732e-05 1.2733e-05 1.2730e-05 1.2725e-05 1.2719e-05 1.2734e-05 1.2727e-05 1.2738e-05 1.2721e-05 1.2734e-05 1.2714e-05 1.2727e-05 1.2744e-05 1.2737e-05 1.2731e-05 1.2719e-05 1.2721e-05 1.2736e-05 1.2732e-05 1.2732e-05 1.2733e-05 1.2729e-05 1.2723e-05 1.2724e-05 1.2729e-05 1.2724e-05 1.2727e-05 1.2720e-05 1.2723e-05 1.2724e-05 1.2733e-05 1.3968e-03 1.1924e-03 9.2019e-04 7.0571e-04 4.9694e-04 4.5355e-04 3.4389e-04 2.7848e-04 2.0412e-04 1.6678e-04 1.3183e-04 1.0642e-04 8.0611e-05 6.8647e-05 4.8892e-05 3.6750e-05 3.0750e-05 2.4766e-05 2.0672e-05 1.5553e-05 1.5302e-05 1.4633e-05 1.3642e-05 1.3480e-05 1.2919e-05 1.3478e-05 1.2422e-05 1.3292e-05 1.3043e-05 1.2896e-05 1.2814e-05 1.2758e-05 1.2724e-05 1.2710e-05 1.2682e-05 1.2687e-05 1.2700e-05 1.2693e-05 1.2692e-05 1.2694e-05 1.2675e-05 1.2662e-05 1.2677e-05 1.2671e-05 1.2673e-05 1.2683e-05 1.2672e-05 1.2678e-05 1.2672e-05 1.2676e-05 1.2679e-05 1.2680e-05 1.2677e-05 1.2672e-05 1.2666e-05 1.2681e-05 1.2674e-05 1.2685e-05 1.2669e-05 1.2681e-05 1.2661e-05 1.2675e-05 1.2691e-05 1.2684e-05 1.2678e-05 1.2666e-05 1.2668e-05 1.2683e-05 1.2679e-05 1.2679e-05 1.2680e-05 1.2676e-05 1.2671e-05 1.2671e-05 1.2676e-05 1.2671e-05 1.2674e-05 1.2668e-05 1.2670e-05 1.2671e-05 1.2680e-05 1.2766e-03 1.2297e-03 8.8408e-04 7.3270e-04 5.5203e-04 4.3832e-04 3.3600e-04 2.7385e-04 2.1708e-04 1.8108e-04 1.2535e-04 8.8906e-05 7.9866e-05 5.7682e-05 4.8955e-05 3.6737e-05 3.2218e-05 2.5605e-05 1.8686e-05 1.7169e-05 1.5507e-05 1.4716e-05 1.2940e-05 1.3198e-05 1.2747e-05 1.2826e-05 1.3236e-05 1.3238e-05 1.3001e-05 1.2865e-05 1.2790e-05 1.2740e-05 1.2709e-05 1.2696e-05 1.2671e-05 1.2676e-05 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