# # # 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) 35 # 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. # 6.14886110e+03 4.83856511e+03 3.80714860e+03 2.99532287e+03 2.35639059e+03 1.85357422e+03 1.45791064e+03 1.14659305e+03 9.01662907e+02 7.08981288e+02 5.57417017e+02 4.38207311e+02 3.44455348e+02 2.70732769e+02 2.12768967e+02 1.67205243e+02 1.31403554e+02 1.03297132e+02 8.12763184e+01 6.41019276e+01 5.08386006e+01 4.07945833e+01 3.34492022e+01 2.83591026e+01 2.50719933e+01 2.31062154e+01 2.20082964e+01 2.14234558e+01 2.11183199e+01 2.09584662e+01 2.08728507e+01 2.08255416e+01 2.07985361e+01 2.07826777e+01 2.07731536e+01 2.07673392e+01 2.07637488e+01 2.07615149e+01 2.07601179e+01 2.07592414e+01 2.07586905e+01 2.07583436e+01 2.07581250e+01 2.07579874e+01 2.07579004e+01 2.07578457e+01 2.07578113e+01 2.07577893e+01 2.07577755e+01 2.07577667e+01 2.07577614e+01 2.07577580e+01 2.07577558e+01 2.07577544e+01 2.07577535e+01 2.07577530e+01 2.07577526e+01 2.07577524e+01 2.07577525e+01 2.07577522e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577522e+01 2.07577523e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577523e+01 2.07577521e+01 2.07577523e+01 2.07577520e+01 2.07577520e+01 2.07577521e+01 2.07577524e+01 2.07577519e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 6.09139305e+03 4.79291597e+03 3.77088822e+03 2.96651967e+03 2.33351162e+03 1.83540060e+03 1.44347510e+03 1.13512640e+03 8.92554668e+02 7.01746412e+02 5.51670100e+02 4.33642410e+02 3.40829217e+02 2.67852430e+02 2.10480858e+02 1.65387490e+02 1.29959140e+02 1.02148862e+02 8.03623787e+01 6.33725308e+01 5.02530207e+01 4.03188065e+01 3.30542819e+01 2.80205394e+01 2.47699761e+01 2.28261109e+01 2.17404507e+01 2.11621403e+01 2.08604123e+01 2.07023390e+01 2.06176775e+01 2.05708930e+01 2.05441905e+01 2.05285084e+01 2.05190896e+01 2.05133389e+01 2.05097882e+01 2.05075790e+01 2.05061975e+01 2.05053307e+01 2.05047858e+01 2.05044428e+01 2.05042266e+01 2.05040904e+01 2.05040045e+01 2.05039503e+01 2.05039163e+01 2.05038946e+01 2.05038809e+01 2.05038722e+01 2.05038670e+01 2.05038636e+01 2.05038614e+01 2.05038600e+01 2.05038592e+01 2.05038587e+01 2.05038582e+01 2.05038581e+01 2.05038582e+01 2.05038579e+01 2.05038578e+01 2.05038576e+01 2.05038576e+01 2.05038578e+01 2.05038579e+01 2.05038580e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038580e+01 2.05038578e+01 2.05038580e+01 2.05038577e+01 2.05038577e+01 2.05038578e+01 2.05038581e+01 2.05038576e+01 2.05038577e+01 2.05038578e+01 2.05038577e+01 6.03392397e+03 4.74726708e+03 3.73462772e+03 2.93771729e+03 2.31063281e+03 1.81722758e+03 1.42903945e+03 1.12365977e+03 8.83446262e+02 6.94511446e+02 5.45923112e+02 4.29077471e+02 3.37203128e+02 2.64972030e+02 2.08192783e+02 1.63569740e+02 1.28514784e+02 1.01000593e+02 7.94484382e+01 6.26431251e+01 4.96674375e+01 3.98430222e+01 3.26593714e+01 2.76819770e+01 2.44679601e+01 2.25460065e+01 2.14726017e+01 2.09008241e+01 2.06025038e+01 2.04462121e+01 2.03625023e+01 2.03162453e+01 2.02898424e+01 2.02743361e+01 2.02650228e+01 2.02593370e+01 2.02558261e+01 2.02536416e+01 2.02522742e+01 2.02514170e+01 2.02508783e+01 2.02505391e+01 2.02503253e+01 2.02501907e+01 2.02501057e+01 2.02500521e+01 2.02500185e+01 2.02499970e+01 2.02499835e+01 2.02499749e+01 2.02499698e+01 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2.00018651e+01 1.99997035e+01 1.99983528e+01 1.99975054e+01 1.99969727e+01 1.99966374e+01 1.99964260e+01 1.99962929e+01 1.99962089e+01 1.99961559e+01 1.99961227e+01 1.99961014e+01 1.99960881e+01 1.99960796e+01 1.99960745e+01 1.99960711e+01 1.99960690e+01 1.99960676e+01 1.99960668e+01 1.99960663e+01 1.99960659e+01 1.99960658e+01 1.99960658e+01 1.99960656e+01 1.99960654e+01 1.99960653e+01 1.99960653e+01 1.99960655e+01 1.99960656e+01 1.99960656e+01 1.99960654e+01 1.99960654e+01 1.99960653e+01 1.99960655e+01 1.99960656e+01 1.99960654e+01 1.99960656e+01 1.99960653e+01 1.99960653e+01 1.99960655e+01 1.99960657e+01 1.99960653e+01 1.99960654e+01 1.99960655e+01 1.99960653e+01 5.91898632e+03 4.65596810e+03 3.66210616e+03 2.88011194e+03 2.26487497e+03 1.78088089e+03 1.40016831e+03 1.10072651e+03 8.65229876e+02 6.80041515e+02 5.34429292e+02 4.19947510e+02 3.29950918e+02 2.59211279e+02 2.03616578e+02 1.59934248e+02 1.25626013e+02 9.87040557e+01 7.76205680e+01 6.11843221e+01 4.84962653e+01 3.88914591e+01 3.18695428e+01 2.70048546e+01 2.38639218e+01 2.19857964e+01 2.09369071e+01 2.03781968e+01 2.00866853e+01 1.99339572e+01 1.98521542e+01 1.98069503e+01 1.97811444e+01 1.97659898e+01 1.97568877e+01 1.97513313e+01 1.97479002e+01 1.97457651e+01 1.97444299e+01 1.97435922e+01 1.97430656e+01 1.97427341e+01 1.97425251e+01 1.97423936e+01 1.97423105e+01 1.97422581e+01 1.97422253e+01 1.97422043e+01 1.97421911e+01 1.97421827e+01 1.97421776e+01 1.97421743e+01 1.97421722e+01 1.97421709e+01 1.97421701e+01 1.97421696e+01 1.97421692e+01 1.97421690e+01 1.97421691e+01 1.97421688e+01 1.97421687e+01 1.97421686e+01 1.97421685e+01 1.97421687e+01 1.97421688e+01 1.97421689e+01 1.97421687e+01 1.97421687e+01 1.97421686e+01 1.97421687e+01 1.97421689e+01 1.97421687e+01 1.97421689e+01 1.97421686e+01 1.97421686e+01 1.97421687e+01 1.97421690e+01 1.97421686e+01 1.97421687e+01 1.97421687e+01 1.97421686e+01 5.86151622e+03 4.61031893e+03 3.62584581e+03 2.85130881e+03 2.24199640e+03 1.76270761e+03 1.38573277e+03 1.08925995e+03 8.56121677e+02 6.72806676e+02 5.28682325e+02 4.15382604e+02 3.26324814e+02 2.56330888e+02 2.01328481e+02 1.58116488e+02 1.24181603e+02 9.75557816e+01 7.67066255e+01 6.04549225e+01 4.79106866e+01 3.84156768e+01 3.14746245e+01 2.66662951e+01 2.35619042e+01 2.17056961e+01 2.06690634e+01 2.01168791e+01 1.98287762e+01 1.96778341e+01 1.95969838e+01 1.95523039e+01 1.95268007e+01 1.95118213e+01 1.95028228e+01 1.94973302e+01 1.94939379e+01 1.94918276e+01 1.94905079e+01 1.94896799e+01 1.94891594e+01 1.94888317e+01 1.94886252e+01 1.94884951e+01 1.94884130e+01 1.94883613e+01 1.94883288e+01 1.94883080e+01 1.94882950e+01 1.94882867e+01 1.94882817e+01 1.94882784e+01 1.94882763e+01 1.94882750e+01 1.94882742e+01 1.94882737e+01 1.94882733e+01 1.94882732e+01 1.94882732e+01 1.94882730e+01 1.94882728e+01 1.94882727e+01 1.94882727e+01 1.94882729e+01 1.94882730e+01 1.94882731e+01 1.94882729e+01 1.94882728e+01 1.94882728e+01 1.94882729e+01 1.94882730e+01 1.94882729e+01 1.94882730e+01 1.94882728e+01 1.94882728e+01 1.94882729e+01 1.94882731e+01 1.94882727e+01 1.94882728e+01 1.94882729e+01 1.94882727e+01 5.80404764e+03 4.56466965e+03 3.58958527e+03 2.82250641e+03 2.21911757e+03 1.74453449e+03 1.37129719e+03 1.07779339e+03 8.47013250e+02 6.65571675e+02 5.22935420e+02 4.10817603e+02 3.22698668e+02 2.53450517e+02 1.99040388e+02 1.56298742e+02 1.22737247e+02 9.64075063e+01 7.57926807e+01 5.97255274e+01 4.73250929e+01 3.79399029e+01 3.10797140e+01 2.63277307e+01 2.32598860e+01 2.14255895e+01 2.04012158e+01 1.98555660e+01 1.95708682e+01 1.94217069e+01 1.93418098e+01 1.92976563e+01 1.92724504e+01 1.92576487e+01 1.92487552e+01 1.92433269e+01 1.92399749e+01 1.92378893e+01 1.92365850e+01 1.92357666e+01 1.92352523e+01 1.92349284e+01 1.92347243e+01 1.92345957e+01 1.92345146e+01 1.92344635e+01 1.92344314e+01 1.92344108e+01 1.92343979e+01 1.92343897e+01 1.92343848e+01 1.92343816e+01 1.92343795e+01 1.92343782e+01 1.92343774e+01 1.92343770e+01 1.92343765e+01 1.92343764e+01 1.92343765e+01 1.92343762e+01 1.92343761e+01 1.92343760e+01 1.92343759e+01 1.92343761e+01 1.92343762e+01 1.92343763e+01 1.92343761e+01 1.92343761e+01 1.92343760e+01 1.92343761e+01 1.92343763e+01 1.92343761e+01 1.92343763e+01 1.92343760e+01 1.92343760e+01 1.92343761e+01 1.92343764e+01 1.92343760e+01 1.92343761e+01 1.92343761e+01 1.92343760e+01 5.74657780e+03 4.51902012e+03 3.55332442e+03 2.79370327e+03 2.19623846e+03 1.72636101e+03 1.35686163e+03 1.06632684e+03 8.37905148e+02 6.58336742e+02 5.17188515e+02 4.06252618e+02 3.19072523e+02 2.50570138e+02 1.96752311e+02 1.54480989e+02 1.21292847e+02 9.52592452e+01 7.48787522e+01 5.89961126e+01 4.67395083e+01 3.74641146e+01 3.06847964e+01 2.59891686e+01 2.29578655e+01 2.11454873e+01 2.01333708e+01 1.95942514e+01 1.93129586e+01 1.91655822e+01 1.90866380e+01 1.90430097e+01 1.90181020e+01 1.90034747e+01 1.89946890e+01 1.89893251e+01 1.89860128e+01 1.89839519e+01 1.89826631e+01 1.89818544e+01 1.89813462e+01 1.89810261e+01 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1.88020540e+02 7.76838225e+01 3.27334894e+01 1.42163051e+01 6.47841034e+00 3.19564322e+00 1.79159222e+00 1.20215513e+00 9.77270027e-01 7.42317407e+25 5.62513173e+25 4.25269729e+25 3.20686045e+25 2.41133265e+25 1.80739147e+25 1.34988254e+25 1.00412095e+25 7.43495951e+24 5.47616864e+24 4.00880743e+24 2.91365878e+24 2.09978413e+24 1.49794020e+24 1.05551235e+24 7.32610957e+23 4.99067726e+23 3.32121788e+23 2.14633087e+23 1.33697664e+23 7.95687282e+22 4.48163520e+22 2.36930434e+22 1.17097312e+22 5.42677994e+21 2.38319672e+21 1.00646278e+21 4.14645117e+20 1.68453240e+20 6.79328863e+19 2.72871547e+19 1.09338430e+19 4.37330416e+18 1.74676800e+18 6.96936610e+17 2.77853936e+17 1.10717006e+17 4.41027948e+16 1.75640664e+16 6.99399593e+15 2.78476575e+15 1.10873716e+15 4.41421829e+14 1.75739634e+14 6.99648271e+13 2.78539071e+13 1.10889434e+13 4.41461418e+12 1.75749645e+12 6.99673845e+11 2.78545768e+11 1.10891286e+11 4.41467153e+10 1.75751767e+10 6.99683477e+09 2.78550898e+09 1.10894285e+09 4.41485480e+08 1.75763182e+08 6.99755111e+07 2.78595994e+07 1.10922711e+07 4.41664741e+06 1.75876240e+06 7.00468112e+05 2.79045568e+05 1.11206105e+05 4.43450469e+04 1.77000880e+04 7.07546250e+03 2.83496631e+03 1.14002575e+03 4.61006035e+02 1.88020538e+02 7.76838225e+01 3.27334897e+01 1.42163053e+01 6.47841019e+00 3.19564324e+00 1.79159222e+00 1.20215512e+00 1.86461702e+26 1.41296921e+26 1.06822926e+26 8.05526926e+25 6.05699376e+25 4.53996212e+25 3.39075163e+25 2.52223780e+25 1.86757739e+25 1.37555137e+25 1.00696690e+25 7.31877997e+24 5.27441926e+24 3.76265566e+24 2.65132715e+24 1.84023552e+24 1.25360145e+24 8.34252212e+23 5.39133939e+23 3.35833348e+23 1.99867609e+23 1.12573586e+23 5.95142342e+22 2.94135150e+22 1.36314549e+22 5.98631950e+21 2.52812021e+21 1.04154144e+21 4.23135409e+20 1.70639695e+20 6.85422336e+19 2.74645719e+19 1.09852434e+19 4.38768283e+18 1.75062561e+18 6.97937531e+17 2.78108546e+17 1.10781212e+17 4.41189400e+16 1.75681234e+16 6.99501525e+15 2.78502181e+15 1.10880148e+15 4.41437990e+14 1.75743692e+14 6.99658467e+13 2.78541635e+13 1.10890076e+13 4.41463033e+12 1.75750050e+12 6.99674872e+11 2.78546025e+11 1.10891350e+11 4.41467314e+10 1.75751808e+10 6.99683581e+09 2.78550922e+09 1.10894292e+09 4.41485500e+08 1.75763185e+08 6.99755118e+07 2.78595995e+07 1.10922712e+07 4.41664748e+06 1.75876242e+06 7.00468116e+05 2.79045565e+05 1.11206105e+05 4.43450467e+04 1.77000881e+04 7.07546255e+03 2.83496629e+03 1.14002576e+03 4.61006029e+02 1.88020537e+02 7.76838230e+01 3.27334901e+01 1.42163050e+01 6.47841023e+00 3.19564325e+00 1.79159221e+00 4.68370620e+26 3.54921818e+26 2.68327059e+26 2.02339216e+26 1.52144804e+26 1.14038692e+26 8.51718301e+25 6.33557490e+25 4.69114231e+25 3.45522882e+25 2.52938649e+25 1.83839441e+25 1.32487422e+25 9.45136370e+24 6.65983269e+24 4.62246264e+24 3.14890447e+24 2.09554681e+24 1.35424323e+24 8.43575229e+23 5.02044735e+23 2.82772064e+23 1.49492997e+23 7.38834092e+22 3.42406666e+22 1.50369547e+22 6.35035085e+21 2.61623382e+21 1.06286809e+21 4.28627535e+20 1.72170307e+20 6.89878855e+19 2.75936838e+19 1.10213610e+19 4.39737272e+18 1.75313981e+18 6.98577081e+17 2.78269822e+17 1.10821767e+17 4.41291307e+16 1.75706838e+16 6.99565844e+15 2.78518337e+15 1.10884208e+15 4.41448185e+14 1.75746254e+14 6.99664908e+13 2.78543248e+13 1.10890482e+13 4.41464050e+12 1.75750308e+12 6.99675516e+11 2.78546186e+11 1.10891391e+11 4.41467416e+10 1.75751834e+10 6.99683641e+09 2.78550939e+09 1.10894297e+09 4.41485507e+08 1.75763187e+08 6.99755121e+07 2.78595997e+07 1.10922714e+07 4.41664751e+06 1.75876243e+06 7.00468110e+05 2.79045565e+05 1.11206105e+05 4.43450470e+04 1.77000882e+04 7.07546249e+03 2.83496632e+03 1.14002575e+03 4.61006028e+02 1.88020539e+02 7.76838240e+01 3.27334894e+01 1.42163051e+01 6.47841025e+00 3.19564323e+00 1.17649380e+27 8.91523299e+26 6.74007098e+26 5.08253130e+26 3.82170470e+26 2.86452244e+26 2.13941964e+26 1.59142446e+26 1.17836167e+26 8.67914240e+25 6.35353161e+25 4.61783797e+25 3.32793357e+25 2.37407522e+25 1.67287434e+25 1.16111012e+25 7.90969042e+24 5.26377561e+24 3.40170518e+24 2.11896517e+24 1.26107936e+24 7.10291311e+23 3.75509432e+23 1.85586733e+23 8.60086658e+22 3.77711225e+22 1.59513601e+22 6.57168223e+21 2.66980394e+21 1.07666369e+21 4.32472257e+20 1.73289733e+20 6.93121998e+19 2.76844071e+19 1.10457009e+19 4.40368811e+18 1.75474629e+18 6.98982191e+17 2.78371692e+17 1.10847364e+17 4.41355622e+16 1.75722995e+16 6.99606428e+15 2.78528534e+15 1.10886769e+15 4.41454618e+14 1.75747871e+14 6.99668960e+13 2.78544267e+13 1.10890737e+13 4.41464698e+12 1.75750470e+12 6.99675920e+11 2.78546287e+11 1.10891417e+11 4.41467482e+10 1.75751849e+10 6.99683685e+09 2.78550952e+09 1.10894298e+09 4.41485511e+08 1.75763187e+08 6.99755124e+07 2.78596001e+07 1.10922714e+07 4.41664754e+06 1.75876241e+06 7.00468109e+05 2.79045564e+05 1.11206106e+05 4.43450474e+04 1.77000881e+04 7.07546256e+03 2.83496628e+03 1.14002575e+03 4.61006032e+02 1.88020541e+02 7.76838223e+01 3.27334896e+01 1.42163051e+01 6.47841020e+00 2.95521883e+27 2.23940528e+27 1.69302928e+27 1.27667414e+27 9.59968817e+26 7.19535506e+26 5.37397917e+26 3.99747751e+26 2.95991069e+26 2.18010200e+26 1.59593498e+26 1.15994845e+26 8.35939118e+25 5.96340734e+25 4.20207035e+25 2.91657675e+25 1.98682440e+25 1.32220065e+25 8.54469710e+24 5.32259986e+24 3.16768813e+24 1.78417111e+24 9.43237046e+23 4.66172797e+23 2.16044001e+23 9.48767702e+22 4.00680051e+22 1.65073194e+22 6.70624429e+21 2.70445691e+21 1.08632119e+21 4.35284130e+20 1.74104374e+20 6.95400865e+19 2.77455462e+19 1.10615644e+19 4.40772340e+18 1.75576388e+18 6.99238074e+17 2.78435991e+17 1.10863520e+17 4.41396204e+16 1.75733189e+16 6.99632041e+15 2.78534967e+15 1.10888385e+15 4.41458682e+14 1.75748889e+14 6.99671519e+13 2.78544909e+13 1.10890900e+13 4.41465104e+12 1.75750571e+12 6.99676176e+11 2.78546352e+11 1.10891433e+11 4.41467520e+10 1.75751860e+10 6.99683717e+09 2.78550956e+09 1.10894299e+09 4.41485513e+08 1.75763188e+08 6.99755135e+07 2.78596003e+07 1.10922715e+07 4.41664750e+06 1.75876241e+06 7.00468107e+05 2.79045566e+05 1.11206106e+05 4.43450470e+04 1.77000882e+04 7.07546246e+03 2.83496628e+03 1.14002575e+03 4.61006038e+02 1.88020537e+02 7.76838228e+01 3.27334896e+01 1.42163050e+01 7.42317407e+27 5.62513173e+27 4.25269729e+27 3.20686045e+27 2.41133265e+27 1.80739147e+27 1.34988254e+27 1.00412095e+27 7.43495951e+26 5.47616864e+26 4.00880743e+26 2.91365878e+26 2.09978413e+26 1.49794020e+26 1.05551235e+26 7.32610957e+25 4.99067726e+25 3.32121788e+25 2.14633087e+25 1.33697664e+25 7.95687282e+24 4.48163520e+24 2.36930434e+24 1.17097312e+24 5.42677994e+23 2.38319672e+23 1.00646278e+23 4.14645117e+22 1.68453240e+22 6.79328862e+21 2.72871547e+21 1.09338430e+21 4.37330415e+20 1.74676800e+20 6.96936609e+19 2.77853935e+19 1.10717006e+19 4.41027947e+18 1.75640663e+18 6.99399586e+17 2.78476570e+17 1.10873713e+17 4.41421811e+16 1.75739622e+16 6.99648199e+15 2.78539026e+15 1.10889405e+15 4.41461239e+14 1.75749532e+14 6.99673131e+13 2.78545318e+13 1.10891002e+13 4.41465359e+12 1.75750636e+12 6.99676338e+11 2.78546393e+11 1.10891443e+11 4.41467547e+10 1.75751868e+10 6.99683728e+09 2.78550959e+09 1.10894300e+09 4.41485515e+08 1.75763191e+08 6.99755140e+07 2.78596005e+07 1.10922714e+07 4.41664749e+06 1.75876240e+06 7.00468112e+05 2.79045568e+05 1.11206105e+05 4.43450474e+04 1.77000880e+04 7.07546245e+03 2.83496630e+03 1.14002577e+03 4.61006027e+02 1.88020538e+02 7.76838230e+01 3.27334894e+01 1.86461702e+28 1.41296921e+28 1.06822926e+28 8.05526926e+27 6.05699376e+27 4.53996212e+27 3.39075163e+27 2.52223780e+27 1.86757739e+27 1.37555137e+27 1.00696690e+27 7.31877997e+26 5.27441926e+26 3.76265566e+26 2.65132715e+26 1.84023552e+26 1.25360145e+26 8.34252212e+25 5.39133939e+25 3.35833348e+25 1.99867609e+25 1.12573586e+25 5.95142342e+24 2.94135150e+24 1.36314549e+24 5.98631950e+23 2.52812021e+23 1.04154144e+23 4.23135409e+22 1.70639695e+22 6.85422336e+21 2.74645719e+21 1.09852434e+21 4.38768283e+20 1.75062561e+20 6.97937530e+19 2.78108545e+19 1.10781211e+19 4.41189398e+18 1.75681233e+18 6.99501518e+17 2.78502176e+17 1.10880146e+17 4.41437972e+16 1.75743681e+16 6.99658395e+15 2.78541590e+15 1.10890048e+15 4.41462853e+14 1.75749937e+14 6.99674158e+13 2.78545574e+13 1.10891066e+13 4.41465521e+12 1.75750676e+12 6.99676442e+11 2.78546417e+11 1.10891449e+11 4.41467567e+10 1.75751871e+10 6.99683734e+09 2.78550960e+09 1.10894301e+09 4.41485522e+08 1.75763192e+08 6.99755144e+07 2.78596002e+07 1.10922714e+07 4.41664748e+06 1.75876241e+06 7.00468117e+05 2.79045566e+05 1.11206106e+05 4.43450468e+04 1.77000880e+04 7.07546250e+03 2.83496633e+03 1.14002574e+03 4.61006030e+02 1.88020539e+02 7.76838224e+01 4.68370620e+28 3.54921818e+28 2.68327059e+28 2.02339216e+28 1.52144804e+28 1.14038692e+28 8.51718301e+27 6.33557490e+27 4.69114231e+27 3.45522882e+27 2.52938649e+27 1.83839441e+27 1.32487422e+27 9.45136370e+26 6.65983269e+26 4.62246264e+26 3.14890447e+26 2.09554681e+26 1.35424323e+26 8.43575229e+25 5.02044735e+25 2.82772064e+25 1.49492997e+25 7.38834092e+24 3.42406666e+24 1.50369547e+24 6.35035085e+23 2.61623382e+23 1.06286809e+23 4.28627535e+22 1.72170307e+22 6.89878855e+21 2.75936838e+21 1.10213610e+21 4.39737272e+20 1.75313981e+20 6.98577081e+19 2.78269822e+19 1.10821766e+19 4.41291305e+18 1.75706837e+18 6.99565837e+17 2.78518333e+17 1.10884205e+17 4.41448167e+16 1.75746242e+16 6.99664836e+15 2.78543203e+15 1.10890453e+15 4.41463871e+14 1.75750195e+14 6.99674802e+13 2.78545735e+13 1.10891107e+13 4.41465623e+12 1.75750702e+12 6.99676502e+11 2.78546435e+11 1.10891455e+11 4.41467574e+10 1.75751873e+10 6.99683737e+09 2.78550961e+09 1.10894302e+09 4.41485525e+08 1.75763193e+08 6.99755137e+07 2.78596002e+07 1.10922714e+07 4.41664751e+06 1.75876243e+06 7.00468111e+05 2.79045568e+05 1.11206105e+05 4.43450468e+04 1.77000881e+04 7.07546259e+03 2.83496627e+03 1.14002575e+03 4.61006031e+02 1.88020537e+02 # # uncertainties in the thermally averaged relativistic Gaunt factors 4.1132e-03 3.5901e-03 2.6548e-03 2.2131e-03 1.6519e-03 1.3640e-03 1.0541e-03 8.1994e-04 6.2789e-04 5.1206e-04 3.8128e-04 2.9085e-04 2.3556e-04 1.9443e-04 1.4762e-04 1.1445e-04 8.6217e-05 7.2207e-05 6.0283e-05 4.5197e-05 3.6621e-05 3.2945e-05 2.2978e-05 1.9975e-05 1.8212e-05 1.6620e-05 1.5480e-05 1.4666e-05 1.4861e-05 1.4732e-05 1.5077e-05 1.4950e-05 1.6190e-05 1.5755e-05 1.5650e-05 1.5581e-05 1.5531e-05 1.5503e-05 1.5486e-05 1.5478e-05 1.5471e-05 1.5472e-05 1.5467e-05 1.5457e-05 1.5459e-05 1.5460e-05 1.5467e-05 1.5466e-05 1.5460e-05 1.5456e-05 1.5460e-05 1.5463e-05 1.5469e-05 1.5468e-05 1.5465e-05 1.5457e-05 1.5455e-05 1.5461e-05 1.5468e-05 1.5467e-05 1.5461e-05 1.5458e-05 1.5453e-05 1.5465e-05 1.5463e-05 1.5471e-05 1.5467e-05 1.5468e-05 1.5457e-05 1.5469e-05 1.5470e-05 1.5469e-05 1.5467e-05 1.5450e-05 1.5460e-05 1.5468e-05 1.5482e-05 1.5461e-05 1.5467e-05 1.5456e-05 1.5459e-05 4.2349e-03 3.4556e-03 2.5745e-03 1.9700e-03 1.6783e-03 1.3164e-03 1.0250e-03 7.8649e-04 6.1005e-04 4.3929e-04 3.6846e-04 2.9709e-04 2.4466e-04 1.9172e-04 1.5503e-04 1.1767e-04 9.2096e-05 7.0781e-05 5.6506e-05 4.4732e-05 3.5422e-05 2.6029e-05 2.4096e-05 1.9807e-05 1.7591e-05 1.6174e-05 1.5247e-05 1.5082e-05 1.5035e-05 1.5443e-05 1.5065e-05 1.5843e-05 1.4879e-05 1.4729e-05 1.4651e-05 1.5207e-05 1.5152e-05 1.5120e-05 1.5101e-05 1.5091e-05 1.5083e-05 1.5083e-05 1.5077e-05 1.5068e-05 1.5069e-05 1.5070e-05 1.5077e-05 1.5076e-05 1.5070e-05 1.5066e-05 1.5070e-05 1.5073e-05 1.5079e-05 1.5077e-05 1.5075e-05 1.5067e-05 1.5065e-05 1.5071e-05 1.5078e-05 1.5077e-05 1.5071e-05 1.5068e-05 1.5063e-05 1.5075e-05 1.5073e-05 1.5081e-05 1.5077e-05 1.5078e-05 1.5067e-05 1.5078e-05 1.5080e-05 1.5079e-05 1.5077e-05 1.5060e-05 1.5069e-05 1.5078e-05 1.5092e-05 1.5071e-05 1.5076e-05 1.5065e-05 1.5069e-05 4.1171e-03 2.9692e-03 2.4900e-03 2.0164e-03 1.6596e-03 1.2981e-03 1.0506e-03 7.9697e-04 6.2769e-04 4.8128e-04 3.9529e-04 3.0268e-04 2.4203e-04 1.9132e-04 1.2914e-04 1.1662e-04 8.3914e-05 7.3267e-05 5.7944e-05 4.4448e-05 3.4953e-05 2.7533e-05 2.0202e-05 2.0077e-05 1.6710e-05 1.6538e-05 1.6115e-05 1.6580e-05 1.4765e-05 1.5374e-05 1.5826e-05 1.5252e-05 1.4672e-05 1.4556e-05 1.4499e-05 1.4459e-05 1.4427e-05 1.4410e-05 1.4946e-05 1.4938e-05 1.4930e-05 1.4931e-05 1.4926e-05 1.4917e-05 1.4918e-05 1.4919e-05 1.4926e-05 1.4925e-05 1.4919e-05 1.4915e-05 1.4920e-05 1.4922e-05 1.4928e-05 1.4927e-05 1.4924e-05 1.4916e-05 1.4914e-05 1.4920e-05 1.4927e-05 1.4926e-05 1.4921e-05 1.4917e-05 1.4913e-05 1.4924e-05 1.4923e-05 1.4930e-05 1.4926e-05 1.4927e-05 1.4917e-05 1.4928e-05 1.4929e-05 1.4928e-05 1.4927e-05 1.4909e-05 1.4919e-05 1.4927e-05 1.4941e-05 1.4920e-05 1.4926e-05 1.4915e-05 1.4918e-05 4.2463e-03 3.1030e-03 2.6754e-03 1.9963e-03 1.6457e-03 1.2973e-03 8.7571e-04 7.9270e-04 5.5927e-04 4.7064e-04 3.5513e-04 2.8392e-04 2.2398e-04 1.8110e-04 1.4777e-04 1.2458e-04 9.0589e-05 7.0940e-05 5.5261e-05 4.3585e-05 3.4513e-05 2.7833e-05 2.2855e-05 1.8358e-05 1.5379e-05 1.5614e-05 1.5474e-05 1.5577e-05 1.4744e-05 1.4305e-05 1.5130e-05 1.4722e-05 1.3911e-05 1.3755e-05 1.3672e-05 1.3615e-05 1.3573e-05 1.4998e-05 1.4978e-05 1.4968e-05 1.4959e-05 1.4959e-05 1.4953e-05 1.4944e-05 1.4945e-05 1.4946e-05 1.4953e-05 1.4951e-05 1.4946e-05 1.4942e-05 1.4946e-05 1.4948e-05 1.4954e-05 1.4953e-05 1.4951e-05 1.4943e-05 1.4941e-05 1.4946e-05 1.4954e-05 1.4953e-05 1.4947e-05 1.4944e-05 1.4940e-05 1.4951e-05 1.4949e-05 1.4956e-05 1.4952e-05 1.4953e-05 1.4943e-05 1.4954e-05 1.4955e-05 1.4954e-05 1.4953e-05 1.4936e-05 1.4945e-05 1.4953e-05 1.4967e-05 1.4947e-05 1.4952e-05 1.4942e-05 1.4945e-05 3.7558e-03 3.4064e-03 2.4014e-03 1.9267e-03 1.5195e-03 1.2291e-03 1.0124e-03 8.4842e-04 6.1482e-04 4.9580e-04 3.7411e-04 3.0359e-04 2.3348e-04 1.8613e-04 1.4029e-04 1.0804e-04 8.7358e-05 6.4647e-05 5.3229e-05 4.2398e-05 3.4430e-05 2.7628e-05 2.0990e-05 1.8121e-05 1.5909e-05 1.5545e-05 1.5665e-05 1.4236e-05 1.4653e-05 1.5240e-05 1.5084e-05 1.5086e-05 1.5421e-05 1.5227e-05 1.5122e-05 1.5411e-05 1.5290e-05 1.5266e-05 1.5251e-05 1.5244e-05 1.5238e-05 1.5239e-05 1.5235e-05 1.5226e-05 1.5227e-05 1.5229e-05 1.5235e-05 1.5234e-05 1.5229e-05 1.5225e-05 1.5229e-05 1.5231e-05 1.5237e-05 1.5236e-05 1.5233e-05 1.5226e-05 1.5224e-05 1.5229e-05 1.5236e-05 1.5235e-05 1.5230e-05 1.5227e-05 1.5223e-05 1.5233e-05 1.5232e-05 1.5239e-05 1.5235e-05 1.5236e-05 1.5226e-05 1.5237e-05 1.5238e-05 1.5237e-05 1.5236e-05 1.5219e-05 1.5228e-05 1.5236e-05 1.5249e-05 1.5230e-05 1.5235e-05 1.5225e-05 1.5228e-05 4.1597e-03 3.2959e-03 2.5348e-03 2.0623e-03 1.5856e-03 1.2680e-03 9.5335e-04 7.2518e-04 5.9422e-04 4.3704e-04 3.8245e-04 2.5302e-04 2.2153e-04 1.7592e-04 1.5365e-04 1.0930e-04 9.7175e-05 6.7058e-05 5.4765e-05 4.2424e-05 3.0052e-05 2.7610e-05 2.4244e-05 1.7608e-05 1.6380e-05 1.4444e-05 1.5477e-05 1.4629e-05 1.5271e-05 1.4725e-05 1.3760e-05 1.3765e-05 1.3777e-05 1.3931e-05 1.3869e-05 1.3827e-05 1.4215e-05 1.4195e-05 1.4184e-05 1.4179e-05 1.4174e-05 1.4176e-05 1.4171e-05 1.4163e-05 1.4165e-05 1.4166e-05 1.4173e-05 1.4172e-05 1.4166e-05 1.4162e-05 1.4167e-05 1.4169e-05 1.4175e-05 1.4174e-05 1.4171e-05 1.4163e-05 1.4162e-05 1.4167e-05 1.4174e-05 1.4173e-05 1.4168e-05 1.4164e-05 1.4160e-05 1.4171e-05 1.4170e-05 1.4177e-05 1.4173e-05 1.4174e-05 1.4164e-05 1.4175e-05 1.4176e-05 1.4175e-05 1.4174e-05 1.4156e-05 1.4166e-05 1.4174e-05 1.4188e-05 1.4167e-05 1.4173e-05 1.4162e-05 1.4166e-05 4.1559e-03 2.9238e-03 2.4577e-03 1.7615e-03 1.5052e-03 1.1021e-03 1.0439e-03 7.4570e-04 6.6384e-04 4.6215e-04 3.9300e-04 2.8415e-04 2.3425e-04 1.7970e-04 1.4262e-04 1.1466e-04 8.6913e-05 6.7173e-05 5.0218e-05 3.8375e-05 3.3272e-05 2.3971e-05 2.0457e-05 1.9129e-05 1.6199e-05 1.5374e-05 1.4927e-05 1.4588e-05 1.4238e-05 1.4738e-05 1.5077e-05 1.4216e-05 1.4453e-05 1.3501e-05 1.4753e-05 1.4672e-05 1.4617e-05 1.4584e-05 1.4565e-05 1.4555e-05 1.4547e-05 1.4547e-05 1.4541e-05 1.4532e-05 1.4533e-05 1.4534e-05 1.4541e-05 1.4539e-05 1.4534e-05 1.4530e-05 1.4534e-05 1.4536e-05 1.4542e-05 1.4541e-05 1.4538e-05 1.4531e-05 1.4530e-05 1.4535e-05 1.4541e-05 1.4540e-05 1.4535e-05 1.4532e-05 1.4528e-05 1.4539e-05 1.4537e-05 1.4544e-05 1.4540e-05 1.4541e-05 1.4532e-05 1.4542e-05 1.4543e-05 1.4542e-05 1.4541e-05 1.4525e-05 1.4534e-05 1.4541e-05 1.4555e-05 1.4535e-05 1.4540e-05 1.4530e-05 1.4533e-05 4.2287e-03 3.0832e-03 2.5912e-03 1.9744e-03 1.5959e-03 1.2214e-03 9.7315e-04 7.4286e-04 5.9339e-04 4.5835e-04 3.4454e-04 2.9291e-04 2.2629e-04 1.6854e-04 1.2219e-04 1.1098e-04 8.0968e-05 6.2952e-05 5.1672e-05 4.2017e-05 3.4201e-05 2.6613e-05 2.1794e-05 1.8880e-05 1.6305e-05 1.4508e-05 1.4501e-05 1.4601e-05 1.5550e-05 1.4125e-05 1.4262e-05 1.3892e-05 1.4425e-05 1.4217e-05 1.4105e-05 1.4031e-05 1.3980e-05 1.3950e-05 1.3932e-05 1.3923e-05 1.3916e-05 1.3916e-05 1.3911e-05 1.3902e-05 1.3903e-05 1.3905e-05 1.3911e-05 1.3910e-05 1.3904e-05 1.3900e-05 1.3905e-05 1.3907e-05 1.3912e-05 1.3911e-05 1.3909e-05 1.3901e-05 1.3900e-05 1.3905e-05 1.3912e-05 1.3911e-05 1.3906e-05 1.3902e-05 1.3898e-05 1.3909e-05 1.3907e-05 1.3914e-05 1.3911e-05 1.3911e-05 1.3902e-05 1.3912e-05 1.3913e-05 1.3913e-05 1.3911e-05 1.3895e-05 1.3904e-05 1.3911e-05 1.3925e-05 1.3905e-05 1.3910e-05 1.3900e-05 1.3904e-05 4.0995e-03 3.2033e-03 2.5695e-03 1.9946e-03 1.4336e-03 1.1472e-03 8.2953e-04 7.2917e-04 5.4948e-04 4.8030e-04 3.5300e-04 3.0275e-04 2.1812e-04 1.8127e-04 1.3916e-04 1.0918e-04 8.2547e-05 6.7498e-05 5.3613e-05 3.8890e-05 3.3943e-05 2.4468e-05 2.2865e-05 1.7384e-05 1.6201e-05 1.5325e-05 1.3956e-05 1.4142e-05 1.4690e-05 1.3617e-05 1.4389e-05 1.3470e-05 1.3296e-05 1.3198e-05 1.4469e-05 1.4386e-05 1.4329e-05 1.4294e-05 1.4274e-05 1.4263e-05 1.4255e-05 1.4254e-05 1.4249e-05 1.4240e-05 1.4241e-05 1.4242e-05 1.4248e-05 1.4247e-05 1.4242e-05 1.4237e-05 1.4242e-05 1.4244e-05 1.4249e-05 1.4248e-05 1.4246e-05 1.4239e-05 1.4237e-05 1.4242e-05 1.4249e-05 1.4248e-05 1.4243e-05 1.4239e-05 1.4236e-05 1.4246e-05 1.4244e-05 1.4251e-05 1.4247e-05 1.4248e-05 1.4239e-05 1.4249e-05 1.4250e-05 1.4249e-05 1.4248e-05 1.4232e-05 1.4241e-05 1.4248e-05 1.4261e-05 1.4242e-05 1.4247e-05 1.4237e-05 1.4241e-05 3.4703e-03 3.2674e-03 2.3740e-03 1.9147e-03 1.5094e-03 1.2239e-03 9.4222e-04 7.3932e-04 5.6470e-04 4.6177e-04 3.6618e-04 2.6001e-04 2.2717e-04 1.7477e-04 1.3490e-04 9.8704e-05 8.1896e-05 6.4372e-05 5.4017e-05 4.1829e-05 2.9516e-05 2.6676e-05 2.1551e-05 1.7855e-05 1.5711e-05 1.3496e-05 1.3809e-05 1.3501e-05 1.3687e-05 1.3651e-05 1.3429e-05 1.3291e-05 1.4301e-05 1.3946e-05 1.3851e-05 1.3788e-05 1.3744e-05 1.3718e-05 1.3702e-05 1.3695e-05 1.3688e-05 1.3689e-05 1.3684e-05 1.3676e-05 1.3677e-05 1.3679e-05 1.3685e-05 1.3684e-05 1.3679e-05 1.3674e-05 1.3679e-05 1.3681e-05 1.3686e-05 1.3685e-05 1.3683e-05 1.3676e-05 1.3674e-05 1.3679e-05 1.3686e-05 1.3685e-05 1.3680e-05 1.3676e-05 1.3673e-05 1.3683e-05 1.3682e-05 1.3688e-05 1.3685e-05 1.3685e-05 1.3676e-05 1.3686e-05 1.3687e-05 1.3686e-05 1.3685e-05 1.3669e-05 1.3678e-05 1.3685e-05 1.3699e-05 1.3679e-05 1.3684e-05 1.3674e-05 1.3678e-05 3.8811e-03 3.1460e-03 2.3984e-03 1.9838e-03 1.5389e-03 1.1868e-03 9.7149e-04 7.0735e-04 5.6466e-04 4.2629e-04 3.5983e-04 2.6744e-04 2.2008e-04 1.6776e-04 1.3922e-04 1.0452e-04 8.3486e-05 6.3420e-05 5.0975e-05 4.1172e-05 3.1397e-05 2.3138e-05 1.9496e-05 1.7604e-05 1.5222e-05 1.5531e-05 1.3836e-05 1.3340e-05 1.3036e-05 1.3347e-05 1.2670e-05 1.3915e-05 1.3693e-05 1.3569e-05 1.3831e-05 1.3764e-05 1.3717e-05 1.3690e-05 1.3674e-05 1.3665e-05 1.3658e-05 1.3659e-05 1.3654e-05 1.3646e-05 1.3647e-05 1.3648e-05 1.3654e-05 1.3653e-05 1.3648e-05 1.3644e-05 1.3648e-05 1.3650e-05 1.3655e-05 1.3654e-05 1.3652e-05 1.3645e-05 1.3644e-05 1.3648e-05 1.3655e-05 1.3654e-05 1.3649e-05 1.3646e-05 1.3642e-05 1.3652e-05 1.3651e-05 1.3657e-05 1.3654e-05 1.3654e-05 1.3645e-05 1.3655e-05 1.3656e-05 1.3656e-05 1.3654e-05 1.3639e-05 1.3647e-05 1.3655e-05 1.3667e-05 1.3649e-05 1.3653e-05 1.3644e-05 1.3647e-05 3.8373e-03 2.9130e-03 2.2576e-03 1.9202e-03 1.5027e-03 1.1321e-03 9.5034e-04 7.3275e-04 5.7295e-04 4.1094e-04 3.5506e-04 2.7790e-04 2.3794e-04 1.7040e-04 1.3362e-04 1.1179e-04 7.3300e-05 6.2824e-05 4.9510e-05 3.9704e-05 3.0946e-05 2.2452e-05 1.8029e-05 1.8232e-05 1.4798e-05 1.4567e-05 1.4287e-05 1.3953e-05 1.3883e-05 1.3831e-05 1.4493e-05 1.3987e-05 1.2906e-05 1.2795e-05 1.2871e-05 1.2819e-05 1.2781e-05 1.2759e-05 1.2746e-05 1.2740e-05 1.2735e-05 1.2736e-05 1.2732e-05 1.2724e-05 1.2725e-05 1.2727e-05 1.2733e-05 1.2732e-05 1.2727e-05 1.2722e-05 1.2727e-05 1.2729e-05 1.2734e-05 1.2733e-05 1.2731e-05 1.2724e-05 1.2722e-05 1.2727e-05 1.2734e-05 1.2733e-05 1.2728e-05 1.2724e-05 1.2721e-05 1.2731e-05 1.2730e-05 1.2736e-05 1.2733e-05 1.2733e-05 1.2724e-05 1.2734e-05 1.2736e-05 1.2735e-05 1.2733e-05 1.2717e-05 1.2726e-05 1.2734e-05 1.2747e-05 1.2727e-05 1.2732e-05 1.2722e-05 1.2726e-05 3.9069e-03 3.1190e-03 2.4162e-03 1.9135e-03 1.3916e-03 1.1858e-03 9.1663e-04 7.0319e-04 4.9473e-04 4.5148e-04 3.4239e-04 2.7670e-04 2.0298e-04 1.6588e-04 1.3127e-04 1.0593e-04 8.0039e-05 6.8308e-05 4.8632e-05 3.9683e-05 3.0560e-05 2.4881e-05 2.0517e-05 1.6219e-05 1.5169e-05 1.3843e-05 1.3625e-05 1.3448e-05 1.2898e-05 1.3466e-05 1.2410e-05 1.3281e-05 1.3032e-05 1.2891e-05 1.2816e-05 1.2765e-05 1.2727e-05 1.2705e-05 1.2693e-05 1.2687e-05 1.2682e-05 1.2683e-05 1.2679e-05 1.2671e-05 1.2672e-05 1.2674e-05 1.2680e-05 1.2679e-05 1.2674e-05 1.2670e-05 1.2674e-05 1.2676e-05 1.2681e-05 1.2680e-05 1.2678e-05 1.2671e-05 1.2669e-05 1.2674e-05 1.2681e-05 1.2680e-05 1.2675e-05 1.2672e-05 1.2668e-05 1.2678e-05 1.2677e-05 1.2683e-05 1.2680e-05 1.2680e-05 1.2671e-05 1.2681e-05 1.2682e-05 1.2682e-05 1.2680e-05 1.2665e-05 1.2673e-05 1.2681e-05 1.2694e-05 1.2674e-05 1.2679e-05 1.2670e-05 1.2673e-05 3.3554e-03 2.9417e-03 2.2424e-03 1.8130e-03 1.2721e-03 1.2230e-03 8.8073e-04 7.2999e-04 4.7655e-04 4.3632e-04 3.3433e-04 2.7210e-04 2.1589e-04 1.8012e-04 1.2861e-04 8.8510e-05 7.9396e-05 5.7359e-05 4.8709e-05 3.6526e-05 3.2014e-05 2.5431e-05 1.8602e-05 1.7074e-05 1.5461e-05 1.4654e-05 1.2793e-05 1.3181e-05 1.2733e-05 1.2788e-05 1.3217e-05 1.3227e-05 1.2992e-05 1.2861e-05 1.2792e-05 1.2746e-05 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