# # # 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) 8 # 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. # 1.32125646e+03 1.03907711e+03 8.17080181e+02 6.42446234e+02 5.05083916e+02 3.97048902e+02 3.12089016e+02 2.45283809e+02 1.92762673e+02 1.51482841e+02 1.19056242e+02 9.36154861e+01 7.37118777e+01 5.82380366e+01 4.63659695e+01 3.74840783e+01 3.11154936e+01 2.68211349e+01 2.41339815e+01 2.25742773e+01 2.17224924e+01 2.12740706e+01 2.10403530e+01 2.09170055e+01 2.08501323e+01 2.08126773e+01 2.07910313e+01 2.07781926e+01 2.07704251e+01 2.07656585e+01 2.07627048e+01 2.07608627e+01 2.07597090e+01 2.07589846e+01 2.07585288e+01 2.07582418e+01 2.07580609e+01 2.07579469e+01 2.07578750e+01 2.07578296e+01 2.07578010e+01 2.07577829e+01 2.07577716e+01 2.07577643e+01 2.07577601e+01 2.07577569e+01 2.07577550e+01 2.07577541e+01 2.07577532e+01 2.07577530e+01 2.07577528e+01 2.07577521e+01 2.07577523e+01 2.07577522e+01 2.07577521e+01 2.07577523e+01 2.07577521e+01 2.07577520e+01 2.07577524e+01 2.07577519e+01 2.07577522e+01 2.07577522e+01 2.07577521e+01 2.07577521e+01 2.07577519e+01 2.07577519e+01 2.07577521e+01 2.07577525e+01 2.07577520e+01 2.07577520e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577521e+01 2.07577523e+01 2.07577519e+01 2.07577519e+01 2.07577522e+01 2.07577522e+01 2.07577519e+01 1.30812068e+03 1.02864299e+03 8.08791995e+02 6.35862799e+02 4.99854404e+02 3.92894980e+02 3.08789353e+02 2.42662709e+02 1.90680520e+02 1.49828609e+02 1.17741579e+02 9.25699586e+01 7.28790078e+01 5.75720648e+01 4.58291805e+01 3.70446779e+01 3.07463753e+01 2.64996587e+01 2.38424113e+01 2.23001120e+01 2.14578387e+01 2.10144264e+01 2.07833125e+01 2.06613411e+01 2.05952116e+01 2.05581723e+01 2.05367688e+01 2.05240729e+01 2.05163913e+01 2.05116768e+01 2.05087557e+01 2.05069340e+01 2.05057931e+01 2.05050766e+01 2.05046259e+01 2.05043421e+01 2.05041632e+01 2.05040505e+01 2.05039793e+01 2.05039344e+01 2.05039061e+01 2.05038882e+01 2.05038770e+01 2.05038699e+01 2.05038657e+01 2.05038625e+01 2.05038606e+01 2.05038597e+01 2.05038589e+01 2.05038586e+01 2.05038585e+01 2.05038578e+01 2.05038580e+01 2.05038578e+01 2.05038578e+01 2.05038580e+01 2.05038578e+01 2.05038577e+01 2.05038580e+01 2.05038576e+01 2.05038578e+01 2.05038579e+01 2.05038578e+01 2.05038578e+01 2.05038576e+01 2.05038576e+01 2.05038578e+01 2.05038581e+01 2.05038576e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038576e+01 2.05038578e+01 2.05038578e+01 2.05038580e+01 2.05038576e+01 2.05038576e+01 2.05038579e+01 2.05038579e+01 2.05038576e+01 1.29498503e+03 1.01820885e+03 8.00503900e+02 6.29279295e+02 4.94624913e+02 3.88741041e+02 3.05489764e+02 2.40041662e+02 1.88598352e+02 1.48174340e+02 1.16426899e+02 9.15244419e+01 7.20461289e+01 5.69060972e+01 4.52923850e+01 3.66052840e+01 3.03772690e+01 2.61781719e+01 2.35508486e+01 2.20259465e+01 2.11931821e+01 2.07547791e+01 2.05262732e+01 2.04056764e+01 2.03402892e+01 2.03036674e+01 2.02825039e+01 2.02699503e+01 2.02623547e+01 2.02576935e+01 2.02548051e+01 2.02530025e+01 2.02518743e+01 2.02511659e+01 2.02507201e+01 2.02504395e+01 2.02502626e+01 2.02501511e+01 2.02500808e+01 2.02500364e+01 2.02500084e+01 2.02499907e+01 2.02499797e+01 2.02499726e+01 2.02499685e+01 2.02499653e+01 2.02499634e+01 2.02499625e+01 2.02499617e+01 2.02499615e+01 2.02499613e+01 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2.02354857e+01 2.00121989e+01 1.98943461e+01 1.98304458e+01 1.97946573e+01 1.97739724e+01 1.97617035e+01 1.97542800e+01 1.97497254e+01 1.97469023e+01 1.97451418e+01 1.97440391e+01 1.97433467e+01 1.97429110e+01 1.97426368e+01 1.97424639e+01 1.97423549e+01 1.97422862e+01 1.97422428e+01 1.97422154e+01 1.97421981e+01 1.97421873e+01 1.97421804e+01 1.97421764e+01 1.97421733e+01 1.97421714e+01 1.97421706e+01 1.97421698e+01 1.97421695e+01 1.97421694e+01 1.97421688e+01 1.97421689e+01 1.97421688e+01 1.97421687e+01 1.97421689e+01 1.97421687e+01 1.97421687e+01 1.97421690e+01 1.97421685e+01 1.97421688e+01 1.97421688e+01 1.97421687e+01 1.97421687e+01 1.97421685e+01 1.97421685e+01 1.97421687e+01 1.97421690e+01 1.97421686e+01 1.97421686e+01 1.97421687e+01 1.97421686e+01 1.97421685e+01 1.97421688e+01 1.97421687e+01 1.97421689e+01 1.97421686e+01 1.97421686e+01 1.97421688e+01 1.97421688e+01 1.97421686e+01 1.25557753e+03 9.86906456e+02 7.75639477e+02 6.09528760e+02 4.78936538e+02 3.76279224e+02 2.95590844e+02 2.32178432e+02 1.82351859e+02 1.43211593e+02 1.12482907e+02 8.83878491e+01 6.95475108e+01 5.49081786e+01 4.36820065e+01 3.52870836e+01 2.92699331e+01 2.52137409e+01 2.26761445e+01 2.12034430e+01 2.03992198e+01 1.99758360e+01 1.97551572e+01 1.96386817e+01 1.95755284e+01 1.95401537e+01 1.95197115e+01 1.95075846e+01 1.95002453e+01 1.94957420e+01 1.94929516e+01 1.94912115e+01 1.94901216e+01 1.94894372e+01 1.94890066e+01 1.94887355e+01 1.94885646e+01 1.94884569e+01 1.94883890e+01 1.94883461e+01 1.94883191e+01 1.94883019e+01 1.94882912e+01 1.94882844e+01 1.94882804e+01 1.94882774e+01 1.94882756e+01 1.94882747e+01 1.94882739e+01 1.94882737e+01 1.94882735e+01 1.94882729e+01 1.94882731e+01 1.94882729e+01 1.94882729e+01 1.94882730e+01 1.94882728e+01 1.94882728e+01 1.94882731e+01 1.94882727e+01 1.94882729e+01 1.94882730e+01 1.94882728e+01 1.94882729e+01 1.94882726e+01 1.94882727e+01 1.94882728e+01 1.94882732e+01 1.94882727e+01 1.94882728e+01 1.94882728e+01 1.94882727e+01 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1.92343760e+01 1.92343763e+01 1.92343759e+01 1.92343762e+01 1.92343762e+01 1.92343761e+01 1.92343761e+01 1.92343759e+01 1.92343759e+01 1.92343761e+01 1.92343764e+01 1.92343760e+01 1.92343760e+01 1.92343760e+01 1.92343760e+01 1.92343759e+01 1.92343761e+01 1.92343761e+01 1.92343763e+01 1.92343760e+01 1.92343760e+01 1.92343762e+01 1.92343762e+01 1.92343760e+01 1.22930590e+03 9.66038164e+02 7.59063226e+02 5.96361761e+02 4.68477549e+02 3.67971373e+02 2.88991561e+02 2.26936270e+02 1.78187535e+02 1.39903082e+02 1.09853572e+02 8.62968012e+01 6.78817691e+01 5.35762354e+01 4.26084198e+01 3.44082873e+01 2.85317084e+01 2.45707812e+01 2.20930115e+01 2.06551121e+01 1.98699126e+01 1.94565460e+01 1.92410793e+01 1.91273537e+01 1.90656877e+01 1.90311425e+01 1.90111796e+01 1.89993374e+01 1.89921719e+01 1.89877746e+01 1.89850496e+01 1.89833502e+01 1.89822858e+01 1.89816174e+01 1.89811969e+01 1.89809322e+01 1.89807653e+01 1.89806601e+01 1.89805937e+01 1.89805518e+01 1.89805255e+01 1.89805087e+01 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5.89326441e-01 4.40140111e-01 3.98658729e-01 4.12811863e-01 4.59059526e-01 5.25782375e-01 6.06024657e-01 6.94186126e-01 7.84566370e-01 1.19632458e+25 8.88270626e+24 6.56333193e+24 4.82236196e+24 3.52002715e+24 2.54960470e+24 1.82974562e+24 1.29856077e+24 9.09069272e+23 6.25695964e+23 4.21574407e+23 2.76469066e+23 1.75166434e+23 1.06219607e+23 6.09594813e+22 3.27177996e+22 1.62579997e+22 7.44720334e+21 3.15872878e+21 1.25719744e+21 4.78268388e+20 1.77194292e+20 6.49484933e+19 2.38266707e+19 8.81538678e+18 3.30327402e+18 1.25552089e+18 4.83743652e+17 1.88552645e+17 7.41437972e+16 2.93297588e+16 1.16435116e+16 4.63069585e+15 1.84306400e+15 7.33739879e+14 2.92122212e+14 1.16301091e+14 4.63016832e+13 1.84333849e+13 7.33855183e+12 2.92155272e+12 1.16309691e+12 4.63038771e+11 1.84339500e+11 7.33870254e+10 2.92159598e+10 1.16311120e+10 4.63044532e+09 1.84342314e+09 7.33885942e+08 2.92168989e+08 1.16316912e+08 4.63080747e+07 1.84365081e+07 7.34029363e+06 2.92259417e+06 1.16373943e+06 4.63440426e+05 1.84591905e+05 7.35459455e+04 2.93160819e+04 1.16941878e+04 4.67016821e+03 1.86842543e+03 7.49612217e+02 3.02054374e+02 1.22529060e+02 5.02151616e+01 2.09024952e+01 8.91123507e+00 3.94423513e+00 1.85576357e+00 9.66353534e-01 5.89326447e-01 4.40140110e-01 3.98658733e-01 4.12811856e-01 4.59059526e-01 5.25782382e-01 6.06024657e-01 6.94186118e-01 3.00503148e+25 2.23123493e+25 1.64863444e+25 1.21132256e+25 8.84190843e+24 6.40431746e+24 4.59611320e+24 3.26183718e+24 2.28347877e+24 1.57167720e+24 1.05894703e+24 6.94458894e+23 4.39998189e+23 2.66811589e+23 1.53123294e+23 8.21833969e+22 4.08382489e+22 1.87065290e+22 7.93436797e+21 3.15793719e+21 1.20135587e+21 4.45091938e+20 1.63143239e+20 5.98498909e+19 2.21432504e+19 8.29744920e+18 3.15372589e+18 1.21510912e+18 4.73622830e+17 1.86240798e+17 7.36730231e+16 2.92471787e+16 1.16317820e+16 4.62956743e+15 1.84307123e+15 7.33777811e+14 2.92135125e+14 1.16304566e+14 4.63025672e+13 1.84336073e+13 7.33860771e+12 2.92156675e+12 1.16310044e+12 4.63039656e+11 1.84339726e+11 7.33870799e+10 2.92159737e+10 1.16311157e+10 4.63044618e+09 1.84342338e+09 7.33886004e+08 2.92168996e+08 1.16316917e+08 4.63080754e+07 1.84365083e+07 7.34029376e+06 2.92259415e+06 1.16373944e+06 4.63440434e+05 1.84591901e+05 7.35459464e+04 2.93160820e+04 1.16941877e+04 4.67016821e+03 1.86842540e+03 7.49612220e+02 3.02054376e+02 1.22529062e+02 5.02151604e+01 2.09024952e+01 8.91123507e+00 3.94423512e+00 1.85576357e+00 9.66353544e-01 5.89326445e-01 4.40140114e-01 3.98658726e-01 4.12811856e-01 4.59059531e-01 5.25782382e-01 6.06024650e-01 7.54829779e+25 5.60460875e+25 4.14118248e+25 3.04270470e+25 2.22098698e+25 1.60869181e+25 1.15449144e+25 8.19336455e+24 5.73583934e+24 3.94787464e+24 2.65995468e+24 1.74440187e+24 1.10522548e+24 6.70200410e+23 3.84628324e+23 2.06435360e+23 1.02581043e+23 4.69886764e+22 1.99302312e+22 7.93237959e+21 3.01766952e+21 1.11802040e+21 4.09797289e+20 1.50336129e+20 5.56213303e+19 2.08422501e+19 7.92180127e+18 3.05221610e+18 1.18968676e+18 4.67815733e+17 1.85058267e+17 7.34655913e+16 2.92177154e+16 1.16289476e+16 4.62958560e+15 1.84316651e+15 7.33810248e+14 2.92143856e+14 1.16306787e+14 4.63031257e+13 1.84337477e+13 7.33864294e+12 2.92157561e+12 1.16310266e+12 4.63040222e+11 1.84339863e+11 7.33871147e+10 2.92159829e+10 1.16311178e+10 4.63044677e+09 1.84342353e+09 7.33886022e+08 2.92169008e+08 1.16316919e+08 4.63080759e+07 1.84365086e+07 7.34029373e+06 2.92259416e+06 1.16373946e+06 4.63440425e+05 1.84591904e+05 7.35459466e+04 2.93160818e+04 1.16941878e+04 4.67016816e+03 1.86842541e+03 7.49612225e+02 3.02054382e+02 1.22529059e+02 5.02151606e+01 2.09024953e+01 8.91123504e+00 3.94423511e+00 1.85576359e+00 9.66353541e-01 5.89326451e-01 4.40140107e-01 3.98658726e-01 4.12811861e-01 4.59059531e-01 5.25782375e-01 1.89604668e+26 1.40781407e+26 1.04021801e+26 7.64292865e+25 5.57886707e+25 4.04085114e+25 2.89995138e+25 2.05808012e+25 1.44077770e+25 9.91661274e+24 6.68150407e+24 4.38173940e+24 2.77620089e+24 1.68346732e+24 9.66142669e+23 5.18542179e+23 2.57671931e+23 1.18030219e+23 5.00624774e+22 1.99252367e+22 7.58004312e+21 2.80834027e+21 1.02936425e+21 3.77627282e+20 1.39714465e+20 5.23533651e+19 1.98986651e+19 7.66682020e+18 2.98835803e+18 1.17509999e+18 4.64845349e+17 1.84537222e+17 7.33915827e+16 2.92105955e+16 1.16289932e+16 4.62982493e+15 1.84324799e+15 7.33832178e+14 2.92149433e+14 1.16308190e+14 4.63034783e+13 1.84338362e+13 7.33866521e+12 2.92158120e+12 1.16310408e+12 4.63040566e+11 1.84339950e+11 7.33871378e+10 2.92159883e+10 1.16311193e+10 4.63044716e+09 1.84342358e+09 7.33886054e+08 2.92169013e+08 1.16316920e+08 4.63080768e+07 1.84365086e+07 7.34029374e+06 2.92259421e+06 1.16373943e+06 4.63440430e+05 1.84591904e+05 7.35459462e+04 2.93160818e+04 1.16941876e+04 4.67016818e+03 1.86842542e+03 7.49612239e+02 3.02054374e+02 1.22529059e+02 5.02151606e+01 2.09024952e+01 8.91123502e+00 3.94423515e+00 1.85576358e+00 9.66353551e-01 5.89326441e-01 4.40140107e-01 3.98658731e-01 4.12811861e-01 4.59059526e-01 4.76265393e+26 3.53626906e+26 2.61290950e+26 1.91981688e+26 1.40134805e+26 1.01501591e+26 7.28434853e+25 5.16966354e+25 3.61906996e+25 2.49094050e+25 1.67831794e+25 1.10064317e+25 6.97350134e+24 4.22867871e+24 2.42684066e+24 1.30251906e+24 6.47242627e+23 2.96478505e+23 1.25751258e+23 5.00499316e+22 1.90402075e+22 7.05423182e+21 2.58564609e+21 9.48556847e+20 3.50946869e+20 1.31505707e+20 4.99831869e+19 1.92581816e+19 7.50641598e+18 2.95171772e+18 1.16763873e+18 4.63536543e+17 1.84351321e+17 7.33736985e+16 2.92107102e+16 1.16295944e+16 4.63002960e+15 1.84330308e+15 7.33846188e+14 2.92152957e+14 1.16309075e+14 4.63037006e+13 1.84338921e+13 7.33867923e+12 2.92158477e+12 1.16310494e+12 4.63040786e+11 1.84340008e+11 7.33871515e+10 2.92159921e+10 1.16311203e+10 4.63044727e+09 1.84342366e+09 7.33886065e+08 2.92169016e+08 1.16316922e+08 4.63080766e+07 1.84365086e+07 7.34029387e+06 2.92259415e+06 1.16373945e+06 4.63440431e+05 1.84591903e+05 7.35459463e+04 2.93160815e+04 1.16941877e+04 4.67016821e+03 1.86842546e+03 7.49612221e+02 3.02054376e+02 1.22529059e+02 5.02151604e+01 2.09024951e+01 8.91123512e+00 3.94423514e+00 1.85576360e+00 9.66353535e-01 5.89326441e-01 4.40140112e-01 3.98658731e-01 4.12811856e-01 1.19632458e+27 8.88270626e+26 6.56333193e+26 4.82236196e+26 3.52002715e+26 2.54960470e+26 1.82974562e+26 1.29856077e+26 9.09069272e+25 6.25695964e+25 4.21574407e+25 2.76469066e+25 1.75166434e+25 1.06219607e+25 6.09594813e+24 3.27177996e+24 1.62579997e+24 7.44720334e+23 3.15872878e+23 1.25719744e+23 4.78268388e+22 1.77194292e+22 6.49484933e+21 2.38266707e+21 8.81538677e+20 3.30327402e+20 1.25552089e+20 4.83743652e+19 1.88552644e+19 7.41437970e+18 2.93297587e+18 1.16435115e+18 4.63069581e+17 1.84306398e+17 7.33739865e+16 2.92122203e+16 1.16301085e+16 4.63016796e+15 1.84333827e+15 7.33855040e+14 2.92155182e+14 1.16309634e+14 4.63038411e+13 1.84339273e+13 7.33868820e+12 2.92158694e+12 1.16310550e+12 4.63040931e+11 1.84340042e+11 7.33871609e+10 2.92159945e+10 1.16311206e+10 4.63044748e+09 1.84342369e+09 7.33886073e+08 2.92169022e+08 1.16316922e+08 4.63080766e+07 1.84365089e+07 7.34029373e+06 2.92259419e+06 1.16373945e+06 4.63440429e+05 1.84591903e+05 7.35459455e+04 2.93160816e+04 1.16941878e+04 4.67016830e+03 1.86842541e+03 7.49612224e+02 3.02054376e+02 1.22529059e+02 5.02151603e+01 2.09024954e+01 8.91123509e+00 3.94423518e+00 1.85576357e+00 9.66353535e-01 5.89326448e-01 4.40140112e-01 3.98658726e-01 3.00503148e+27 2.23123493e+27 1.64863444e+27 1.21132256e+27 8.84190843e+26 6.40431746e+26 4.59611320e+26 3.26183718e+26 2.28347877e+26 1.57167720e+26 1.05894703e+26 6.94458894e+25 4.39998189e+25 2.66811589e+25 1.53123294e+25 8.21833969e+24 4.08382489e+24 1.87065290e+24 7.93436797e+23 3.15793719e+23 1.20135587e+23 4.45091938e+22 1.63143239e+22 5.98498909e+21 2.21432504e+21 8.29744920e+20 3.15372589e+20 1.21510911e+20 4.73622829e+19 1.86240798e+19 7.36730229e+18 2.92471786e+18 1.16317820e+18 4.62956739e+17 1.84307121e+17 7.33777796e+16 2.92135116e+16 1.16304560e+16 4.63025636e+15 1.84336050e+15 7.33860628e+14 2.92156584e+14 1.16309986e+14 4.63039296e+13 1.84339498e+13 7.33869366e+12 2.92158832e+12 1.16310586e+12 4.63041017e+11 1.84340066e+11 7.33871671e+10 2.92159952e+10 1.16311211e+10 4.63044755e+09 1.84342371e+09 7.33886087e+08 2.92169020e+08 1.16316922e+08 4.63080774e+07 1.84365086e+07 7.34029382e+06 2.92259419e+06 1.16373944e+06 4.63440429e+05 1.84591901e+05 7.35459457e+04 2.93160818e+04 1.16941880e+04 4.67016818e+03 1.86842542e+03 7.49612224e+02 3.02054374e+02 1.22529059e+02 5.02151608e+01 2.09024953e+01 8.91123518e+00 3.94423511e+00 1.85576357e+00 9.66353546e-01 5.89326449e-01 4.40140107e-01 7.54829779e+27 5.60460875e+27 4.14118248e+27 3.04270470e+27 2.22098698e+27 1.60869181e+27 1.15449144e+27 8.19336455e+26 5.73583934e+26 3.94787464e+26 2.65995468e+26 1.74440187e+26 1.10522548e+26 6.70200410e+25 3.84628324e+25 2.06435360e+25 1.02581043e+25 4.69886764e+24 1.99302312e+24 7.93237959e+23 3.01766952e+23 1.11802040e+23 4.09797289e+22 1.50336129e+22 5.56213303e+21 2.08422501e+21 7.92180127e+20 3.05221610e+20 1.18968676e+20 4.67815733e+19 1.85058267e+19 7.34655912e+18 2.92177153e+18 1.16289475e+18 4.62958556e+17 1.84316649e+17 7.33810234e+16 2.92143847e+16 1.16306781e+16 4.63031221e+15 1.84337454e+15 7.33864151e+14 2.92157471e+14 1.16310209e+14 4.63039862e+13 1.84339636e+13 7.33869714e+12 2.92158924e+12 1.16310608e+12 4.63041077e+11 1.84340082e+11 7.33871689e+10 2.92159965e+10 1.16311213e+10 4.63044760e+09 1.84342374e+09 7.33886083e+08 2.92169021e+08 1.16316924e+08 4.63080766e+07 1.84365088e+07 7.34029383e+06 2.92259418e+06 1.16373945e+06 4.63440424e+05 1.84591902e+05 7.35459463e+04 2.93160824e+04 1.16941877e+04 4.67016820e+03 1.86842542e+03 7.49612221e+02 3.02054374e+02 1.22529060e+02 5.02151607e+01 2.09024955e+01 8.91123503e+00 3.94423511e+00 1.85576359e+00 9.66353547e-01 5.89326441e-01 # # uncertainties in the thermally averaged relativistic Gaunt factors 8.7108e-04 7.5623e-04 5.3827e-04 4.8738e-04 3.1363e-04 2.9353e-04 2.1371e-04 1.7527e-04 1.4504e-04 1.0987e-04 8.4434e-05 6.3992e-05 5.2921e-05 4.2211e-05 3.5269e-05 2.6542e-05 2.1192e-05 1.9473e-05 1.6440e-05 1.5519e-05 1.5308e-05 1.5492e-05 1.4608e-05 1.4826e-05 1.4973e-05 1.4899e-05 1.6077e-05 1.5702e-05 1.5601e-05 1.5546e-05 1.5519e-05 1.5501e-05 1.5481e-05 1.5476e-05 1.5466e-05 1.5469e-05 1.5460e-05 1.5470e-05 1.5469e-05 1.5463e-05 1.5460e-05 1.5458e-05 1.5462e-05 1.5458e-05 1.5482e-05 1.5461e-05 1.5447e-05 1.5464e-05 1.5458e-05 1.5460e-05 1.5472e-05 1.5449e-05 1.5466e-05 1.5459e-05 1.5460e-05 1.5466e-05 1.5468e-05 1.5464e-05 1.5464e-05 1.5452e-05 1.5469e-05 1.5462e-05 1.5465e-05 1.5467e-05 1.5455e-05 1.5459e-05 1.5462e-05 1.5481e-05 1.5457e-05 1.5466e-05 1.5452e-05 1.5456e-05 1.5456e-05 1.5466e-05 1.5467e-05 1.5468e-05 1.5450e-05 1.5457e-05 1.5476e-05 1.5464e-05 1.5458e-05 9.2878e-04 7.4653e-04 5.6637e-04 4.3064e-04 3.4697e-04 2.8316e-04 2.2429e-04 1.6121e-04 1.3605e-04 9.1772e-05 7.9232e-05 6.0647e-05 5.6197e-05 4.1221e-05 2.9449e-05 2.6345e-05 2.3081e-05 1.8374e-05 1.7879e-05 1.5482e-05 1.5072e-05 1.4643e-05 1.5941e-05 1.4821e-05 1.4948e-05 1.5035e-05 1.4821e-05 1.4689e-05 1.4608e-05 1.5170e-05 1.5138e-05 1.5117e-05 1.5094e-05 1.5088e-05 1.5077e-05 1.5080e-05 1.5071e-05 1.5080e-05 1.5079e-05 1.5073e-05 1.5070e-05 1.5068e-05 1.5072e-05 1.5068e-05 1.5092e-05 1.5071e-05 1.5056e-05 1.5074e-05 1.5067e-05 1.5070e-05 1.5082e-05 1.5059e-05 1.5076e-05 1.5069e-05 1.5070e-05 1.5076e-05 1.5078e-05 1.5074e-05 1.5074e-05 1.5062e-05 1.5079e-05 1.5072e-05 1.5075e-05 1.5077e-05 1.5065e-05 1.5069e-05 1.5072e-05 1.5091e-05 1.5067e-05 1.5076e-05 1.5062e-05 1.5066e-05 1.5066e-05 1.5076e-05 1.5077e-05 1.5078e-05 1.5060e-05 1.5067e-05 1.5086e-05 1.5074e-05 1.5068e-05 8.5352e-04 6.7356e-04 5.9361e-04 4.3404e-04 3.5628e-04 2.7064e-04 2.0320e-04 1.6406e-04 1.3498e-04 1.0565e-04 8.4780e-05 6.2204e-05 5.1328e-05 3.9146e-05 3.0780e-05 2.3150e-05 2.1471e-05 1.9975e-05 1.6190e-05 1.5223e-05 1.6177e-05 1.5422e-05 1.5226e-05 1.4535e-05 1.5551e-05 1.4799e-05 1.4630e-05 1.4526e-05 1.4464e-05 1.4433e-05 1.4420e-05 1.4962e-05 1.4941e-05 1.4936e-05 1.4925e-05 1.4928e-05 1.4919e-05 1.4929e-05 1.4928e-05 1.4922e-05 1.4919e-05 1.4917e-05 1.4921e-05 1.4917e-05 1.4941e-05 1.4920e-05 1.4906e-05 1.4923e-05 1.4917e-05 1.4919e-05 1.4931e-05 1.4908e-05 1.4925e-05 1.4919e-05 1.4919e-05 1.4925e-05 1.4927e-05 1.4923e-05 1.4923e-05 1.4911e-05 1.4928e-05 1.4921e-05 1.4924e-05 1.4926e-05 1.4914e-05 1.4918e-05 1.4921e-05 1.4940e-05 1.4916e-05 1.4925e-05 1.4912e-05 1.4915e-05 1.4915e-05 1.4925e-05 1.4926e-05 1.4927e-05 1.4909e-05 1.4916e-05 1.4935e-05 1.4923e-05 1.4917e-05 9.1789e-04 7.2086e-04 5.7606e-04 4.4810e-04 3.4943e-04 2.6027e-04 2.1809e-04 1.6935e-04 1.2451e-04 9.6884e-05 7.6206e-05 6.7979e-05 4.9587e-05 4.1522e-05 3.1864e-05 2.5740e-05 1.9534e-05 1.9499e-05 1.5607e-05 1.4641e-05 1.4191e-05 1.5781e-05 1.5342e-05 1.5512e-05 1.4937e-05 1.4074e-05 1.3851e-05 1.3713e-05 1.3628e-05 1.3584e-05 1.5017e-05 1.4995e-05 1.4972e-05 1.4965e-05 1.4954e-05 1.4956e-05 1.4947e-05 1.4956e-05 1.4955e-05 1.4949e-05 1.4946e-05 1.4944e-05 1.4948e-05 1.4944e-05 1.4967e-05 1.4947e-05 1.4933e-05 1.4950e-05 1.4943e-05 1.4946e-05 1.4957e-05 1.4935e-05 1.4952e-05 1.4945e-05 1.4946e-05 1.4952e-05 1.4953e-05 1.4950e-05 1.4950e-05 1.4938e-05 1.4955e-05 1.4948e-05 1.4950e-05 1.4952e-05 1.4941e-05 1.4945e-05 1.4948e-05 1.4966e-05 1.4943e-05 1.4952e-05 1.4938e-05 1.4942e-05 1.4942e-05 1.4952e-05 1.4953e-05 1.4954e-05 1.4936e-05 1.4943e-05 1.4961e-05 1.4949e-05 1.4944e-05 8.4290e-04 6.5878e-04 4.8134e-04 4.5792e-04 3.0343e-04 2.7707e-04 2.1333e-04 1.7395e-04 1.2590e-04 1.0121e-04 8.1572e-05 6.5377e-05 5.0882e-05 3.4209e-05 3.0805e-05 2.3998e-05 2.1079e-05 1.6506e-05 1.6309e-05 1.5315e-05 1.5263e-05 1.4114e-05 1.3151e-05 1.4866e-05 1.5300e-05 1.4980e-05 1.5341e-05 1.5175e-05 1.5074e-05 1.5303e-05 1.5280e-05 1.5265e-05 1.5246e-05 1.5243e-05 1.5233e-05 1.5237e-05 1.5229e-05 1.5238e-05 1.5237e-05 1.5231e-05 1.5229e-05 1.5227e-05 1.5231e-05 1.5227e-05 1.5249e-05 1.5229e-05 1.5216e-05 1.5232e-05 1.5226e-05 1.5229e-05 1.5240e-05 1.5218e-05 1.5234e-05 1.5228e-05 1.5228e-05 1.5234e-05 1.5236e-05 1.5233e-05 1.5233e-05 1.5221e-05 1.5237e-05 1.5230e-05 1.5233e-05 1.5235e-05 1.5224e-05 1.5228e-05 1.5231e-05 1.5248e-05 1.5226e-05 1.5234e-05 1.5222e-05 1.5225e-05 1.5225e-05 1.5235e-05 1.5235e-05 1.5236e-05 1.5220e-05 1.5226e-05 1.5244e-05 1.5232e-05 1.5227e-05 8.5781e-04 7.0723e-04 5.5497e-04 4.4377e-04 3.3985e-04 2.6744e-04 2.0543e-04 1.6585e-04 1.2900e-04 1.0309e-04 7.7323e-05 5.8735e-05 5.2257e-05 3.8151e-05 3.0736e-05 2.7381e-05 2.0609e-05 1.6376e-05 1.6613e-05 1.5390e-05 1.3690e-05 1.4807e-05 1.4675e-05 1.4846e-05 1.3657e-05 1.3717e-05 1.4005e-05 1.3899e-05 1.3833e-05 1.4223e-05 1.4206e-05 1.4196e-05 1.4180e-05 1.4178e-05 1.4169e-05 1.4173e-05 1.4165e-05 1.4175e-05 1.4175e-05 1.4169e-05 1.4166e-05 1.4164e-05 1.4168e-05 1.4164e-05 1.4187e-05 1.4167e-05 1.4153e-05 1.4170e-05 1.4164e-05 1.4166e-05 1.4178e-05 1.4155e-05 1.4172e-05 1.4166e-05 1.4166e-05 1.4172e-05 1.4174e-05 1.4171e-05 1.4170e-05 1.4159e-05 1.4175e-05 1.4168e-05 1.4171e-05 1.4173e-05 1.4161e-05 1.4165e-05 1.4168e-05 1.4186e-05 1.4163e-05 1.4172e-05 1.4159e-05 1.4162e-05 1.4162e-05 1.4172e-05 1.4173e-05 1.4174e-05 1.4157e-05 1.4164e-05 1.4182e-05 1.4170e-05 1.4165e-05 9.0413e-04 7.0448e-04 5.0760e-04 4.0030e-04 3.5369e-04 2.4409e-04 2.0510e-04 1.4237e-04 1.2744e-04 9.6704e-05 8.1978e-05 6.1958e-05 5.3054e-05 3.7939e-05 3.1017e-05 2.3035e-05 2.0348e-05 1.7711e-05 1.5774e-05 1.5146e-05 1.5547e-05 1.4117e-05 1.5229e-05 1.4092e-05 1.4485e-05 1.4146e-05 1.3570e-05 1.4815e-05 1.4700e-05 1.4636e-05 1.4602e-05 1.4581e-05 1.4559e-05 1.4552e-05 1.4541e-05 1.4544e-05 1.4535e-05 1.4544e-05 1.4543e-05 1.4537e-05 1.4534e-05 1.4532e-05 1.4536e-05 1.4532e-05 1.4554e-05 1.4535e-05 1.4522e-05 1.4537e-05 1.4532e-05 1.4534e-05 1.4545e-05 1.4524e-05 1.4540e-05 1.4533e-05 1.4534e-05 1.4540e-05 1.4541e-05 1.4538e-05 1.4538e-05 1.4527e-05 1.4543e-05 1.4536e-05 1.4538e-05 1.4540e-05 1.4529e-05 1.4533e-05 1.4536e-05 1.4553e-05 1.4531e-05 1.4540e-05 1.4527e-05 1.4530e-05 1.4530e-05 1.4540e-05 1.4541e-05 1.4541e-05 1.4525e-05 1.4531e-05 1.4549e-05 1.4537e-05 1.4532e-05 8.6870e-04 6.9807e-04 5.2268e-04 4.2808e-04 3.4212e-04 2.6353e-04 2.0560e-04 1.5881e-04 1.2861e-04 9.7241e-05 7.7053e-05 6.1508e-05 4.4347e-05 4.0124e-05 3.2040e-05 2.4204e-05 1.8063e-05 1.6828e-05 1.5114e-05 1.5235e-05 1.3846e-05 1.3879e-05 1.4632e-05 1.3881e-05 1.4088e-05 1.4633e-05 1.4337e-05 1.4161e-05 1.4055e-05 1.3997e-05 1.3967e-05 1.3948e-05 1.3926e-05 1.3921e-05 1.3911e-05 1.3913e-05 1.3905e-05 1.3914e-05 1.3913e-05 1.3907e-05 1.3904e-05 1.3902e-05 1.3906e-05 1.3902e-05 1.3925e-05 1.3905e-05 1.3892e-05 1.3908e-05 1.3902e-05 1.3904e-05 1.3915e-05 1.3894e-05 1.3910e-05 1.3904e-05 1.3904e-05 1.3910e-05 1.3912e-05 1.3908e-05 1.3908e-05 1.3897e-05 1.3913e-05 1.3906e-05 1.3909e-05 1.3910e-05 1.3899e-05 1.3903e-05 1.3906e-05 1.3923e-05 1.3901e-05 1.3910e-05 1.3897e-05 1.3900e-05 1.3900e-05 1.3910e-05 1.3911e-05 1.3912e-05 1.3895e-05 1.3902e-05 1.3919e-05 1.3908e-05 1.3903e-05 8.6784e-04 6.6454e-04 5.4039e-04 4.0321e-04 2.8715e-04 2.7213e-04 1.8781e-04 1.5335e-04 1.1524e-04 9.2216e-05 7.9031e-05 6.4373e-05 4.8355e-05 3.7008e-05 2.8656e-05 2.2129e-05 1.9299e-05 1.5473e-05 1.4474e-05 1.5612e-05 1.3781e-05 1.3695e-05 1.3955e-05 1.3818e-05 1.3650e-05 1.3404e-05 1.3262e-05 1.4534e-05 1.4416e-05 1.4349e-05 1.4313e-05 1.4291e-05 1.4267e-05 1.4261e-05 1.4250e-05 1.4251e-05 1.4243e-05 1.4251e-05 1.4250e-05 1.4244e-05 1.4242e-05 1.4240e-05 1.4243e-05 1.4239e-05 1.4261e-05 1.4242e-05 1.4229e-05 1.4245e-05 1.4239e-05 1.4241e-05 1.4252e-05 1.4231e-05 1.4247e-05 1.4241e-05 1.4241e-05 1.4247e-05 1.4248e-05 1.4245e-05 1.4245e-05 1.4234e-05 1.4250e-05 1.4243e-05 1.4246e-05 1.4247e-05 1.4237e-05 1.4240e-05 1.4243e-05 1.4260e-05 1.4238e-05 1.4247e-05 1.4235e-05 1.4238e-05 1.4238e-05 1.4247e-05 1.4248e-05 1.4249e-05 1.4233e-05 1.4239e-05 1.4256e-05 1.4245e-05 1.4240e-05 8.1277e-04 7.0170e-04 5.3895e-04 4.3006e-04 3.1587e-04 2.7714e-04 1.9364e-04 1.5780e-04 1.2032e-04 9.8363e-05 7.4389e-05 5.6767e-05 4.7015e-05 3.7359e-05 3.2004e-05 2.4652e-05 1.8315e-05 1.7206e-05 1.4048e-05 1.3790e-05 1.3587e-05 1.4051e-05 1.3652e-05 1.2780e-05 1.2240e-05 1.4529e-05 1.4202e-05 1.3899e-05 1.3807e-05 1.3757e-05 1.3732e-05 1.3716e-05 1.3697e-05 1.3693e-05 1.3684e-05 1.3687e-05 1.3679e-05 1.3687e-05 1.3687e-05 1.3681e-05 1.3678e-05 1.3677e-05 1.3680e-05 1.3676e-05 1.3698e-05 1.3679e-05 1.3666e-05 1.3682e-05 1.3676e-05 1.3678e-05 1.3689e-05 1.3668e-05 1.3684e-05 1.3678e-05 1.3678e-05 1.3684e-05 1.3686e-05 1.3682e-05 1.3682e-05 1.3671e-05 1.3687e-05 1.3680e-05 1.3683e-05 1.3684e-05 1.3674e-05 1.3677e-05 1.3680e-05 1.3697e-05 1.3675e-05 1.3684e-05 1.3672e-05 1.3675e-05 1.3675e-05 1.3684e-05 1.3685e-05 1.3686e-05 1.3670e-05 1.3676e-05 1.3693e-05 1.3682e-05 1.3677e-05 8.7709e-04 7.0948e-04 5.2102e-04 3.8736e-04 3.1087e-04 2.5501e-04 2.0902e-04 1.4332e-04 1.1752e-04 8.8526e-05 7.1599e-05 5.6412e-05 4.8252e-05 3.6509e-05 2.6185e-05 2.3565e-05 2.1869e-05 1.6335e-05 1.5596e-05 1.3779e-05 1.3519e-05 1.2982e-05 1.2810e-05 1.3951e-05 1.3686e-05 1.3824e-05 1.3645e-05 1.3868e-05 1.3785e-05 1.3732e-05 1.3705e-05 1.3688e-05 1.3668e-05 1.3663e-05 1.3654e-05 1.3656e-05 1.3648e-05 1.3657e-05 1.3656e-05 1.3650e-05 1.3648e-05 1.3646e-05 1.3650e-05 1.3646e-05 1.3667e-05 1.3648e-05 1.3636e-05 1.3651e-05 1.3646e-05 1.3648e-05 1.3658e-05 1.3638e-05 1.3653e-05 1.3647e-05 1.3648e-05 1.3653e-05 1.3655e-05 1.3652e-05 1.3651e-05 1.3641e-05 1.3656e-05 1.3649e-05 1.3652e-05 1.3654e-05 1.3643e-05 1.3647e-05 1.3650e-05 1.3666e-05 1.3645e-05 1.3653e-05 1.3641e-05 1.3644e-05 1.3644e-05 1.3653e-05 1.3654e-05 1.3655e-05 1.3639e-05 1.3645e-05 1.3662e-05 1.3651e-05 1.3646e-05 8.2748e-04 6.2454e-04 5.4325e-04 3.8989e-04 3.3821e-04 2.4249e-04 2.0358e-04 1.3542e-04 1.2101e-04 9.3857e-05 7.5589e-05 5.9879e-05 4.5093e-05 3.4851e-05 2.7298e-05 2.0502e-05 1.8206e-05 1.7631e-05 1.4342e-05 1.3677e-05 1.3261e-05 1.3660e-05 1.2229e-05 1.3314e-05 1.4250e-05 1.3876e-05 1.2865e-05 1.2766e-05 1.2832e-05 1.2791e-05 1.2771e-05 1.2759e-05 1.2742e-05 1.2739e-05 1.2730e-05 1.2734e-05 1.2726e-05 1.2735e-05 1.2735e-05 1.2729e-05 1.2726e-05 1.2725e-05 1.2728e-05 1.2724e-05 1.2746e-05 1.2727e-05 1.2714e-05 1.2730e-05 1.2724e-05 1.2727e-05 1.2737e-05 1.2716e-05 1.2732e-05 1.2726e-05 1.2726e-05 1.2732e-05 1.2734e-05 1.2730e-05 1.2730e-05 1.2719e-05 1.2735e-05 1.2728e-05 1.2731e-05 1.2733e-05 1.2722e-05 1.2725e-05 1.2728e-05 1.2745e-05 1.2723e-05 1.2732e-05 1.2720e-05 1.2723e-05 1.2723e-05 1.2732e-05 1.2733e-05 1.2734e-05 1.2717e-05 1.2724e-05 1.2741e-05 1.2730e-05 1.2725e-05 8.2926e-04 6.4220e-04 5.1631e-04 4.0075e-04 3.1348e-04 2.4065e-04 1.9570e-04 1.5295e-04 1.2228e-04 9.0049e-05 6.4280e-05 5.4270e-05 4.3629e-05 3.5943e-05 2.8171e-05 2.3690e-05 1.8806e-05 1.7663e-05 1.4383e-05 1.2892e-05 1.3664e-05 1.3154e-05 1.2992e-05 1.2608e-05 1.3529e-05 1.3178e-05 1.2976e-05 1.2853e-05 1.2777e-05 1.2737e-05 1.2718e-05 1.2705e-05 1.2689e-05 1.2686e-05 1.2677e-05 1.2681e-05 1.2673e-05 1.2682e-05 1.2682e-05 1.2676e-05 1.2674e-05 1.2672e-05 1.2675e-05 1.2672e-05 1.2693e-05 1.2674e-05 1.2662e-05 1.2677e-05 1.2671e-05 1.2674e-05 1.2684e-05 1.2664e-05 1.2679e-05 1.2673e-05 1.2673e-05 1.2679e-05 1.2681e-05 1.2677e-05 1.2677e-05 1.2667e-05 1.2682e-05 1.2675e-05 1.2678e-05 1.2680e-05 1.2669e-05 1.2673e-05 1.2676e-05 1.2692e-05 1.2671e-05 1.2679e-05 1.2667e-05 1.2670e-05 1.2670e-05 1.2679e-05 1.2680e-05 1.2681e-05 1.2665e-05 1.2671e-05 1.2688e-05 1.2677e-05 1.2672e-05 7.6362e-04 5.9354e-04 4.6451e-04 4.1782e-04 2.8245e-04 2.5442e-04 1.8607e-04 1.5563e-04 1.1269e-04 9.0669e-05 7.6169e-05 5.8170e-05 4.4708e-05 3.3269e-05 2.5429e-05 2.2326e-05 1.8286e-05 1.5815e-05 1.4382e-05 1.3029e-05 1.3267e-05 1.4141e-05 1.3216e-05 1.3085e-05 1.3405e-05 1.3129e-05 1.2940e-05 1.2826e-05 1.2756e-05 1.2720e-05 1.2704e-05 1.2693e-05 1.2678e-05 1.2676e-05 1.2667e-05 1.2671e-05 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