# # # 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) 22 # 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. # 3.79215780e+03 2.98352416e+03 2.34710511e+03 1.84626722e+03 1.45216106e+03 1.14206934e+03 8.98104039e+02 7.06181735e+02 5.55214927e+02 4.36475514e+02 3.43093396e+02 2.69661870e+02 2.11927054e+02 1.66543558e+02 1.30883796e+02 1.02889444e+02 8.09574668e+01 6.38542457e+01 5.06489185e+01 4.06531564e+01 3.33483952e+01 2.82917240e+01 2.50302848e+01 2.30822637e+01 2.19953234e+01 2.14166551e+01 2.11147766e+01 2.09565912e+01 2.08718294e+01 2.08249669e+01 2.07982030e+01 2.07824790e+01 2.07730331e+01 2.07672651e+01 2.07637029e+01 2.07614862e+01 2.07601002e+01 2.07592302e+01 2.07586834e+01 2.07583394e+01 2.07581223e+01 2.07579855e+01 2.07578995e+01 2.07578453e+01 2.07578106e+01 2.07577889e+01 2.07577754e+01 2.07577667e+01 2.07577615e+01 2.07577580e+01 2.07577558e+01 2.07577544e+01 2.07577535e+01 2.07577530e+01 2.07577527e+01 2.07577524e+01 2.07577522e+01 2.07577522e+01 2.07577520e+01 2.07577521e+01 2.07577522e+01 2.07577524e+01 2.07577519e+01 2.07577521e+01 2.07577521e+01 2.07577521e+01 2.07577525e+01 2.07577520e+01 2.07577520e+01 2.07577521e+01 2.07577519e+01 2.07577522e+01 2.07577522e+01 2.07577521e+01 2.07577523e+01 2.07577519e+01 2.07577519e+01 2.07577521e+01 2.07577522e+01 2.07577520e+01 2.07577521e+01 3.75603444e+03 2.95482988e+03 2.32431265e+03 1.82816232e+03 1.43778011e+03 1.13064615e+03 8.89030242e+02 6.98974219e+02 5.49489800e+02 4.31927812e+02 3.39480987e+02 2.66792421e+02 2.09647602e+02 1.64732672e+02 1.29444876e+02 1.01745476e+02 8.00469377e+01 6.31275234e+01 5.00653915e+01 4.01789293e+01 3.29545884e+01 2.79539086e+01 2.47287319e+01 2.28024267e+01 2.17276225e+01 2.11554156e+01 2.08569085e+01 2.07004848e+01 2.06166675e+01 2.05703247e+01 2.05438611e+01 2.05283119e+01 2.05189705e+01 2.05132657e+01 2.05097428e+01 2.05075506e+01 2.05061799e+01 2.05053196e+01 2.05047788e+01 2.05044386e+01 2.05042239e+01 2.05040886e+01 2.05040036e+01 2.05039499e+01 2.05039156e+01 2.05038941e+01 2.05038808e+01 2.05038722e+01 2.05038670e+01 2.05038636e+01 2.05038614e+01 2.05038601e+01 2.05038592e+01 2.05038586e+01 2.05038583e+01 2.05038581e+01 2.05038579e+01 2.05038579e+01 2.05038577e+01 2.05038577e+01 2.05038579e+01 2.05038580e+01 2.05038576e+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 2.05038579e+01 2.05038579e+01 2.05038578e+01 2.05038580e+01 2.05038576e+01 2.05038576e+01 2.05038578e+01 2.05038579e+01 2.05038576e+01 2.05038578e+01 3.71991115e+03 2.92613641e+03 2.30152035e+03 1.81005802e+03 1.42339904e+03 1.11922278e+03 8.79956277e+02 6.91766611e+02 5.43764543e+02 4.27380135e+02 3.35868608e+02 2.63922911e+02 2.07368176e+02 1.62921790e+02 1.28005945e+02 1.00601528e+02 7.91364079e+01 6.24007922e+01 4.94818745e+01 3.97046974e+01 3.25607913e+01 2.76160930e+01 2.44271806e+01 2.25225903e+01 2.14599200e+01 2.08941754e+01 2.05990395e+01 2.04443788e+01 2.03615037e+01 2.03156834e+01 2.02895167e+01 2.02741418e+01 2.02649050e+01 2.02592646e+01 2.02557811e+01 2.02536135e+01 2.02522568e+01 2.02514061e+01 2.02508713e+01 2.02505350e+01 2.02503226e+01 2.02501888e+01 2.02501048e+01 2.02500518e+01 2.02500178e+01 2.02499966e+01 2.02499834e+01 2.02499749e+01 2.02499698e+01 2.02499664e+01 2.02499642e+01 2.02499629e+01 2.02499620e+01 2.02499615e+01 2.02499612e+01 2.02499610e+01 2.02499608e+01 2.02499607e+01 2.02499605e+01 2.02499606e+01 2.02499607e+01 2.02499609e+01 2.02499604e+01 2.02499607e+01 2.02499606e+01 2.02499606e+01 2.02499610e+01 2.02499605e+01 2.02499606e+01 2.02499606e+01 2.02499605e+01 2.02499607e+01 2.02499608e+01 2.02499606e+01 2.02499608e+01 2.02499604e+01 2.02499605e+01 2.02499606e+01 2.02499607e+01 2.02499605e+01 2.02499606e+01 3.68378728e+03 2.89744272e+03 2.27872812e+03 1.79195331e+03 1.40901819e+03 1.10779955e+03 8.70882654e+02 6.84559035e+02 5.38039349e+02 4.22832446e+02 3.32256175e+02 2.61053427e+02 2.05088710e+02 1.61110899e+02 1.26567000e+02 9.94575725e+01 7.82258827e+01 6.16740650e+01 4.88983537e+01 3.92304670e+01 3.21669908e+01 2.72782808e+01 2.41256285e+01 2.22427544e+01 2.11922174e+01 2.06329386e+01 2.03411703e+01 2.01882763e+01 2.01063436e+01 2.00610438e+01 2.00351741e+01 2.00199734e+01 2.00108413e+01 2.00052648e+01 2.00018207e+01 1.99996757e+01 1.99983357e+01 1.99974945e+01 1.99969659e+01 1.99966333e+01 1.99964233e+01 1.99962911e+01 1.99962079e+01 1.99961555e+01 1.99961220e+01 1.99961010e+01 1.99960880e+01 1.99960796e+01 1.99960745e+01 1.99960711e+01 1.99960690e+01 1.99960677e+01 1.99960668e+01 1.99960663e+01 1.99960660e+01 1.99960658e+01 1.99960656e+01 1.99960655e+01 1.99960653e+01 1.99960654e+01 1.99960656e+01 1.99960657e+01 1.99960652e+01 1.99960655e+01 1.99960654e+01 1.99960654e+01 1.99960658e+01 1.99960654e+01 1.99960654e+01 1.99960654e+01 1.99960653e+01 1.99960655e+01 1.99960656e+01 1.99960654e+01 1.99960656e+01 1.99960652e+01 1.99960653e+01 1.99960654e+01 1.99960655e+01 1.99960653e+01 1.99960654e+01 3.64766383e+03 2.86874889e+03 2.25593554e+03 1.77384877e+03 1.39463708e+03 1.09637624e+03 8.61808777e+02 6.77351397e+02 5.32314186e+02 4.18284697e+02 3.28643820e+02 2.58183941e+02 2.02809277e+02 1.59300032e+02 1.25128073e+02 9.83136272e+01 7.73153541e+01 6.09473382e+01 4.83148334e+01 3.87562388e+01 3.17731895e+01 2.69404659e+01 2.38240713e+01 2.19629141e+01 2.09245137e+01 2.03716999e+01 2.00833005e+01 1.99321657e+01 1.98511783e+01 1.98064012e+01 1.97808261e+01 1.97657999e+01 1.97567726e+01 1.97512605e+01 1.97478563e+01 1.97457377e+01 1.97444130e+01 1.97435815e+01 1.97430588e+01 1.97427300e+01 1.97425225e+01 1.97423917e+01 1.97423096e+01 1.97422578e+01 1.97422246e+01 1.97422038e+01 1.97421910e+01 1.97421827e+01 1.97421777e+01 1.97421743e+01 1.97421722e+01 1.97421709e+01 1.97421701e+01 1.97421695e+01 1.97421692e+01 1.97421690e+01 1.97421688e+01 1.97421688e+01 1.97421686e+01 1.97421687e+01 1.97421688e+01 1.97421690e+01 1.97421685e+01 1.97421687e+01 1.97421687e+01 1.97421687e+01 1.97421690e+01 1.97421686e+01 1.97421686e+01 1.97421687e+01 1.97421685e+01 1.97421688e+01 1.97421688e+01 1.97421687e+01 1.97421689e+01 1.97421685e+01 1.97421686e+01 1.97421687e+01 1.97421688e+01 1.97421686e+01 1.97421687e+01 3.61154060e+03 2.84005468e+03 2.23314348e+03 1.75574422e+03 1.38025612e+03 1.08495304e+03 8.52735020e+02 6.70143915e+02 5.26588950e+02 4.13737052e+02 3.25031428e+02 2.55314439e+02 2.00529821e+02 1.57489139e+02 1.23689136e+02 9.71696713e+01 7.64048273e+01 6.02206136e+01 4.77313222e+01 3.82820089e+01 3.13793846e+01 2.66026549e+01 2.35225181e+01 2.16830810e+01 2.06568148e+01 2.01104581e+01 1.98254311e+01 1.96760635e+01 1.95960192e+01 1.95517611e+01 1.95264860e+01 1.95116336e+01 1.95027090e+01 1.94972602e+01 1.94938945e+01 1.94918005e+01 1.94904911e+01 1.94896693e+01 1.94891527e+01 1.94888277e+01 1.94886226e+01 1.94884933e+01 1.94884121e+01 1.94883609e+01 1.94883281e+01 1.94883076e+01 1.94882949e+01 1.94882867e+01 1.94882817e+01 1.94882784e+01 1.94882763e+01 1.94882751e+01 1.94882742e+01 1.94882737e+01 1.94882734e+01 1.94882732e+01 1.94882730e+01 1.94882729e+01 1.94882728e+01 1.94882728e+01 1.94882730e+01 1.94882731e+01 1.94882727e+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 1.94882729e+01 1.94882730e+01 1.94882728e+01 1.94882730e+01 1.94882727e+01 1.94882727e+01 1.94882729e+01 1.94882729e+01 1.94882727e+01 1.94882728e+01 3.57541717e+03 2.81136079e+03 2.21035117e+03 1.73763981e+03 1.36587513e+03 1.07352984e+03 8.43661120e+02 6.62936245e+02 5.20863777e+02 4.09189313e+02 3.21418993e+02 2.52444960e+02 1.98250378e+02 1.55678260e+02 1.22250201e+02 9.60257143e+01 7.54942932e+01 5.94938839e+01 4.71477935e+01 3.78077872e+01 3.09855876e+01 2.62648391e+01 2.32209646e+01 2.14032418e+01 2.03891142e+01 1.98492210e+01 1.95675621e+01 1.94199572e+01 1.93408566e+01 1.92971199e+01 1.92721395e+01 1.92574632e+01 1.92486428e+01 1.92432578e+01 1.92399320e+01 1.92378625e+01 1.92365684e+01 1.92357562e+01 1.92352456e+01 1.92349244e+01 1.92347217e+01 1.92345940e+01 1.92345137e+01 1.92344631e+01 1.92344307e+01 1.92344104e+01 1.92343979e+01 1.92343897e+01 1.92343848e+01 1.92343816e+01 1.92343795e+01 1.92343783e+01 1.92343774e+01 1.92343769e+01 1.92343766e+01 1.92343764e+01 1.92343762e+01 1.92343762e+01 1.92343760e+01 1.92343761e+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 1.92343762e+01 1.92343762e+01 1.92343761e+01 1.92343763e+01 1.92343759e+01 1.92343759e+01 1.92343761e+01 1.92343762e+01 1.92343760e+01 1.92343761e+01 3.53929344e+03 2.78266697e+03 2.18755857e+03 1.71953482e+03 1.35149416e+03 1.06210665e+03 8.34587380e+02 6.55728698e+02 5.15138604e+02 4.04641590e+02 3.17806559e+02 2.49575471e+02 1.95970949e+02 1.53867375e+02 1.20811256e+02 9.48817629e+01 7.45837753e+01 5.87671522e+01 4.65642764e+01 3.73335500e+01 3.05917863e+01 2.59270248e+01 2.29194085e+01 2.11234044e+01 2.01214120e+01 1.95879823e+01 1.93096919e+01 1.91638533e+01 1.90856962e+01 1.90424797e+01 1.90177947e+01 1.90032914e+01 1.89945779e+01 1.89892568e+01 1.89859704e+01 1.89839254e+01 1.89826467e+01 1.89818441e+01 1.89813396e+01 1.89810222e+01 1.89808219e+01 1.89806956e+01 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2.56752173e+01 1.11645171e+01 5.09950811e+00 2.52642895e+00 1.42729868e+00 9.69304868e-01 8.01287871e-01 7.69574718e-01 8.02453231e-01 4.23307937e+25 3.19192239e+25 2.39997843e+25 1.79877773e+25 1.34336088e+25 9.99193132e+24 7.39779888e+24 5.44819871e+24 3.98778488e+24 2.89786868e+24 2.08791391e+24 1.48898965e+24 1.04871994e+24 7.27400273e+23 4.95008066e+23 3.28899188e+23 2.12029343e+23 1.31573916e+23 7.78487378e+22 4.34651444e+22 2.26896527e+22 1.10209000e+22 4.99526057e+21 2.13682325e+21 8.77169594e+20 3.51439194e+20 1.39265808e+20 5.50439026e+19 2.17882878e+19 8.64759372e+18 3.43997381e+18 1.37024753e+18 5.46082999e+17 2.17624296e+17 8.67072041e+16 3.45378275e+16 1.37547019e+16 5.47709845e+15 2.18078749e+15 8.68266384e+14 3.45682978e+14 1.37623875e+14 5.47903103e+13 2.18127325e+13 8.68388522e+12 3.45713744e+12 1.37631659e+12 5.47922987e+11 2.18132533e+11 8.68402965e+10 3.45718226e+10 1.37633321e+10 5.47930554e+09 2.18136571e+09 8.68426609e+08 3.45732682e+08 1.37642325e+08 5.47987074e+07 2.18172155e+07 8.68650915e+06 3.45874137e+06 1.37731539e+06 5.48549679e+05 2.18526905e+05 8.70887151e+04 3.47283271e+04 1.38619041e+04 5.54135693e+03 2.22040021e+03 8.92962948e+02 3.61146068e+02 1.47325121e+02 6.08925987e+01 2.56752171e+01 1.11645172e+01 5.09950801e+00 2.52642896e+00 1.42729869e+00 9.69304873e-01 8.01287862e-01 7.69574723e-01 1.06330146e+26 8.01774654e+25 6.02847325e+25 4.51832537e+25 3.37436997e+25 2.50985967e+25 1.85824306e+25 1.36852564e+25 1.00168627e+25 7.27911702e+24 5.24460263e+24 3.74017291e+24 2.63426538e+24 1.82714688e+24 1.24340404e+24 8.26157407e+23 5.32593629e+23 3.30498734e+23 1.95547188e+23 1.09179507e+23 5.69938307e+22 2.76832491e+22 1.25475272e+22 5.36745732e+21 2.20335040e+21 8.82775343e+20 3.49819892e+20 1.38264032e+20 5.47297044e+19 2.17217733e+19 8.64082354e+18 3.44190619e+18 1.37169847e+18 5.46647516e+17 2.17798649e+17 8.67551001e+16 3.45502491e+16 1.37578492e+16 5.47789047e+15 2.18098653e+15 8.68316367e+14 3.45695535e+14 1.37627031e+14 5.47911032e+13 2.18129311e+13 8.68393518e+12 3.45715004e+12 1.37631974e+12 5.47923784e+11 2.18132731e+11 8.68403464e+10 3.45718352e+10 1.37633352e+10 5.47930633e+09 2.18136592e+09 8.68426660e+08 3.45732694e+08 1.37642328e+08 5.47987078e+07 2.18172158e+07 8.68650927e+06 3.45874141e+06 1.37731536e+06 5.48549687e+05 2.18526904e+05 8.70887153e+04 3.47283277e+04 1.38619038e+04 5.54135694e+03 2.22040021e+03 8.92962942e+02 3.61146073e+02 1.47325122e+02 6.08925982e+01 2.56752174e+01 1.11645170e+01 5.09950802e+00 2.52642898e+00 1.42729870e+00 9.69304861e-01 8.01287867e-01 2.67089252e+26 2.01396687e+26 1.51428402e+26 1.13495202e+26 8.47603414e+25 6.30448245e+25 4.66769554e+25 3.43758099e+25 2.51612216e+25 1.82843153e+25 1.31738462e+25 9.39488958e+24 6.61697545e+24 4.58958545e+24 3.12328975e+24 2.07521358e+24 1.33781471e+24 8.30175286e+23 4.91192329e+23 2.74246521e+23 1.43162030e+23 6.95371779e+22 3.15179634e+22 1.34824432e+22 5.53456598e+21 2.21743141e+21 8.78707841e+20 3.47303546e+20 1.37474802e+20 5.45626277e+19 2.17047674e+19 8.64567745e+18 3.44555078e+18 1.37311648e+18 5.47085472e+17 2.17918958e+17 8.67863017e+16 3.45581547e+16 1.37598387e+16 5.47839042e+15 2.18111208e+15 8.68347909e+14 3.45703463e+14 1.37629023e+14 5.47916021e+13 2.18130566e+13 8.68396682e+12 3.45715795e+12 1.37632174e+12 5.47924282e+11 2.18132857e+11 8.68403780e+10 3.45718430e+10 1.37633372e+10 5.47930684e+09 2.18136604e+09 8.68426689e+08 3.45732702e+08 1.37642330e+08 5.47987086e+07 2.18172161e+07 8.68650937e+06 3.45874134e+06 1.37731538e+06 5.48549685e+05 2.18526905e+05 8.70887169e+04 3.47283270e+04 1.38619038e+04 5.54135695e+03 2.22040019e+03 8.92962952e+02 3.61146074e+02 1.47325121e+02 6.08925988e+01 2.56752169e+01 1.11645170e+01 5.09950806e+00 2.52642899e+00 1.42729868e+00 9.69304867e-01 6.70897868e+26 5.05885606e+26 3.80370947e+26 2.85087057e+26 2.12908352e+26 1.58361439e+26 1.17247211e+26 8.63481305e+25 6.32021311e+25 4.59281234e+25 3.30912055e+25 2.35988957e+25 1.66210909e+25 1.15285174e+25 7.84534914e+24 5.21270084e+24 3.36043862e+24 2.08530604e+24 1.23381935e+24 6.88876115e+23 3.59606761e+23 1.74669494e+23 7.91695447e+22 3.38663662e+22 1.39022012e+22 5.56993586e+21 2.20721430e+21 8.72387066e+20 3.45321089e+20 1.37055124e+20 5.45199108e+19 2.17169599e+19 8.65483226e+18 3.44911265e+18 1.37421657e+18 5.47387675e+17 2.17997333e+17 8.68061597e+16 3.45631520e+16 1.37610945e+16 5.47870580e+15 2.18119131e+15 8.68367824e+14 3.45708466e+14 1.37630276e+14 5.47919174e+13 2.18131361e+13 8.68398669e+12 3.45716298e+12 1.37632299e+12 5.47924597e+11 2.18132936e+11 8.68403977e+10 3.45718480e+10 1.37633385e+10 5.47930716e+09 2.18136612e+09 8.68426710e+08 3.45732705e+08 1.37642331e+08 5.47987094e+07 2.18172163e+07 8.68650919e+06 3.45874139e+06 1.37731538e+06 5.48549686e+05 2.18526909e+05 8.70887151e+04 3.47283270e+04 1.38619038e+04 5.54135691e+03 2.22040022e+03 8.92962955e+02 3.61146071e+02 1.47325122e+02 6.08925976e+01 2.56752170e+01 1.11645171e+01 5.09950808e+00 2.52642896e+00 1.42729869e+00 1.68521925e+27 1.27072719e+27 9.55448621e+26 7.16106311e+26 5.34801600e+26 3.97785951e+26 2.94511678e+26 2.16896697e+26 1.58756576e+26 1.15366230e+26 8.31213501e+25 5.92777458e+25 4.17502926e+25 2.89583265e+25 1.97066260e+25 1.30937125e+25 8.44104017e+24 5.23805194e+24 3.09921407e+24 1.73037857e+24 9.03291343e+23 4.38749931e+23 1.98864905e+23 8.50684657e+22 3.49207505e+22 1.39910463e+22 5.54427166e+21 2.19133723e+21 8.67407359e+20 3.44266907e+20 1.36947824e+20 5.45505368e+19 2.17399557e+19 8.66377926e+18 3.45187596e+18 1.37497567e+18 5.47584544e+17 2.18047215e+17 8.68187124e+16 3.45663065e+16 1.37618867e+16 5.47890481e+15 2.18124133e+15 8.68380390e+14 3.45711614e+14 1.37631068e+14 5.47921170e+13 2.18131860e+13 8.68399932e+12 3.45716612e+12 1.37632378e+12 5.47924797e+11 2.18132986e+11 8.68404101e+10 3.45718512e+10 1.37633393e+10 5.47930734e+09 2.18136617e+09 8.68426717e+08 3.45732710e+08 1.37642333e+08 5.47987100e+07 2.18172159e+07 8.68650931e+06 3.45874138e+06 1.37731538e+06 5.48549696e+05 2.18526904e+05 8.70887152e+04 3.47283271e+04 1.38619037e+04 5.54135698e+03 2.22040023e+03 8.92962948e+02 3.61146075e+02 1.47325119e+02 6.08925978e+01 2.56752172e+01 1.11645171e+01 5.09950802e+00 2.52642898e+00 4.23307937e+27 3.19192239e+27 2.39997843e+27 1.79877773e+27 1.34336088e+27 9.99193132e+26 7.39779888e+26 5.44819871e+26 3.98778488e+26 2.89786868e+26 2.08791391e+26 1.48898965e+26 1.04871994e+26 7.27400273e+25 4.95008066e+25 3.28899188e+25 2.12029343e+25 1.31573916e+25 7.78487378e+24 4.34651444e+24 2.26896527e+24 1.10209000e+24 4.99526057e+23 2.13682325e+23 8.77169594e+22 3.51439194e+22 1.39265808e+22 5.50439026e+21 2.17882878e+21 8.64759371e+20 3.43997381e+20 1.37024753e+20 5.46082998e+19 2.17624296e+19 8.67072039e+18 3.45378273e+18 1.37547018e+18 5.47709839e+17 2.18078745e+17 8.68266361e+16 3.45682964e+16 1.37623866e+16 5.47903047e+15 2.18127290e+15 8.68388297e+14 3.45713603e+14 1.37631569e+14 5.47922424e+13 2.18132178e+13 8.68400722e+12 3.45716811e+12 1.37632428e+12 5.47924921e+11 2.18133017e+11 8.68404182e+10 3.45718532e+10 1.37633397e+10 5.47930747e+09 2.18136619e+09 8.68426729e+08 3.45732715e+08 1.37642335e+08 5.47987088e+07 2.18172162e+07 8.68650928e+06 3.45874138e+06 1.37731541e+06 5.48549685e+05 2.18526904e+05 8.70887154e+04 3.47283269e+04 1.38619039e+04 5.54135700e+03 2.22040021e+03 8.92962957e+02 3.61146067e+02 1.47325120e+02 6.08925983e+01 2.56752173e+01 1.11645170e+01 5.09950806e+00 1.06330146e+28 8.01774654e+27 6.02847325e+27 4.51832537e+27 3.37436997e+27 2.50985967e+27 1.85824306e+27 1.36852564e+27 1.00168627e+27 7.27911702e+26 5.24460263e+26 3.74017291e+26 2.63426538e+26 1.82714688e+26 1.24340404e+26 8.26157407e+25 5.32593629e+25 3.30498734e+25 1.95547188e+25 1.09179507e+25 5.69938307e+24 2.76832491e+24 1.25475272e+24 5.36745732e+23 2.20335040e+23 8.82775343e+22 3.49819892e+22 1.38264032e+22 5.47297044e+21 2.17217733e+21 8.64082354e+20 3.44190618e+20 1.37169847e+20 5.46647515e+19 2.17798649e+19 8.67550998e+18 3.45502489e+18 1.37578491e+18 5.47789041e+17 2.18098649e+17 8.68316345e+16 3.45695521e+16 1.37627022e+16 5.47910976e+15 2.18129276e+15 8.68393294e+14 3.45714862e+14 1.37631884e+14 5.47923220e+13 2.18132376e+13 8.68401221e+12 3.45716937e+12 1.37632459e+12 5.47924999e+11 2.18133037e+11 8.68404233e+10 3.45718544e+10 1.37633401e+10 5.47930752e+09 2.18136622e+09 8.68426741e+08 3.45732719e+08 1.37642332e+08 5.47987096e+07 2.18172161e+07 8.68650930e+06 3.45874145e+06 1.37731538e+06 5.48549685e+05 2.18526905e+05 8.70887148e+04 3.47283273e+04 1.38619039e+04 5.54135695e+03 2.22040023e+03 8.92962939e+02 3.61146069e+02 1.47325121e+02 6.08925986e+01 2.56752170e+01 1.11645171e+01 2.67089252e+28 2.01396687e+28 1.51428402e+28 1.13495202e+28 8.47603414e+27 6.30448245e+27 4.66769554e+27 3.43758099e+27 2.51612216e+27 1.82843153e+27 1.31738462e+27 9.39488958e+26 6.61697545e+26 4.58958545e+26 3.12328975e+26 2.07521358e+26 1.33781471e+26 8.30175286e+25 4.91192329e+25 2.74246521e+25 1.43162030e+25 6.95371779e+24 3.15179634e+24 1.34824432e+24 5.53456598e+23 2.21743141e+23 8.78707841e+22 3.47303546e+22 1.37474802e+22 5.45626277e+21 2.17047674e+21 8.64567744e+20 3.44555078e+20 1.37311648e+20 5.47085471e+19 2.17918958e+19 8.67863015e+18 3.45581546e+18 1.37598386e+18 5.47839037e+17 2.18111204e+17 8.68347886e+16 3.45703449e+16 1.37629014e+16 5.47915965e+15 2.18130531e+15 8.68396457e+14 3.45715654e+14 1.37632084e+14 5.47923719e+13 2.18132501e+13 8.68401537e+12 3.45717015e+12 1.37632479e+12 5.47925050e+11 2.18133050e+11 8.68404262e+10 3.45718552e+10 1.37633402e+10 5.47930760e+09 2.18136625e+09 8.68426751e+08 3.45732712e+08 1.37642334e+08 5.47987094e+07 2.18172162e+07 8.68650946e+06 3.45874137e+06 1.37731538e+06 5.48549686e+05 2.18526903e+05 8.70887158e+04 3.47283274e+04 1.38619038e+04 5.54135701e+03 2.22040019e+03 8.92962942e+02 3.61146071e+02 1.47325121e+02 6.08925978e+01 2.56752171e+01 # # uncertainties in the thermally averaged relativistic Gaunt factors 2.6434e-03 2.2038e-03 1.6450e-03 1.3597e-03 1.0508e-03 8.1629e-04 6.2538e-04 5.0915e-04 3.8501e-04 2.9327e-04 2.3695e-04 1.9370e-04 1.5332e-04 1.1392e-04 9.5724e-05 6.3991e-05 6.0645e-05 4.5019e-05 3.3876e-05 2.8887e-05 2.2871e-05 1.9861e-05 1.8188e-05 1.6583e-05 1.5449e-05 1.4631e-05 1.4853e-05 1.4732e-05 1.5075e-05 1.4958e-05 1.6193e-05 1.5758e-05 1.5644e-05 1.5570e-05 1.5534e-05 1.5500e-05 1.5497e-05 1.5478e-05 1.5472e-05 1.5477e-05 1.5460e-05 1.5461e-05 1.5478e-05 1.5482e-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 1.5457e-05 1.5459e-05 1.5459e-05 1.5466e-05 1.5462e-05 1.5454e-05 1.5451e-05 1.5458e-05 1.5461e-05 1.5473e-05 1.5450e-05 1.5468e-05 1.5461e-05 1.5461e-05 1.5480e-05 1.5467e-05 1.5465e-05 1.5461e-05 1.5453e-05 1.5471e-05 1.5467e-05 1.5466e-05 1.5467e-05 1.5456e-05 1.5457e-05 1.5463e-05 1.5463e-05 1.5458e-05 1.5467e-05 2.6907e-03 1.9616e-03 1.6714e-03 1.3123e-03 1.0219e-03 6.8649e-04 6.0761e-04 4.3728e-04 3.6638e-04 2.9597e-04 2.4369e-04 1.9099e-04 1.5445e-04 1.1711e-04 9.2391e-05 7.5813e-05 5.6246e-05 4.4573e-05 3.5264e-05 2.5867e-05 2.3999e-05 1.9754e-05 1.7605e-05 1.6126e-05 1.5208e-05 1.5040e-05 1.5029e-05 1.5440e-05 1.5063e-05 1.5848e-05 1.4884e-05 1.4733e-05 1.4645e-05 1.5196e-05 1.5155e-05 1.5117e-05 1.5112e-05 1.5091e-05 1.5084e-05 1.5088e-05 1.5071e-05 1.5072e-05 1.5089e-05 1.5092e-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 1.5061e-05 1.5068e-05 1.5071e-05 1.5083e-05 1.5060e-05 1.5078e-05 1.5070e-05 1.5071e-05 1.5090e-05 1.5077e-05 1.5075e-05 1.5071e-05 1.5063e-05 1.5081e-05 1.5077e-05 1.5076e-05 1.5077e-05 1.5066e-05 1.5067e-05 1.5073e-05 1.5073e-05 1.5067e-05 1.5077e-05 2.4792e-03 2.0078e-03 1.6527e-03 1.2940e-03 1.0473e-03 7.9342e-04 6.2413e-04 4.7913e-04 3.9332e-04 3.0152e-04 2.4126e-04 1.9060e-04 1.2867e-04 1.1606e-04 8.3596e-05 7.3020e-05 5.7628e-05 4.4302e-05 3.4764e-05 2.7426e-05 2.0102e-05 2.1411e-05 1.6687e-05 1.5823e-05 1.5897e-05 1.6535e-05 1.4756e-05 1.5366e-05 1.5816e-05 1.5255e-05 1.4678e-05 1.4561e-05 1.4494e-05 1.4448e-05 1.4431e-05 1.4407e-05 1.4957e-05 1.4938e-05 1.4931e-05 1.4936e-05 1.4920e-05 1.4920e-05 1.4937e-05 1.4941e-05 1.4918e-05 1.4906e-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 1.4917e-05 1.4920e-05 1.4932e-05 1.4909e-05 1.4927e-05 1.4920e-05 1.4920e-05 1.4939e-05 1.4926e-05 1.4925e-05 1.4921e-05 1.4912e-05 1.4930e-05 1.4926e-05 1.4925e-05 1.4926e-05 1.4915e-05 1.4916e-05 1.4923e-05 1.4922e-05 1.4917e-05 1.4926e-05 2.6639e-03 1.9858e-03 1.6389e-03 1.2932e-03 8.7323e-04 7.8917e-04 5.5703e-04 4.6853e-04 3.5329e-04 2.8284e-04 2.2324e-04 1.8043e-04 1.4722e-04 1.1865e-04 9.0243e-05 7.0712e-05 5.4951e-05 4.3382e-05 3.4357e-05 2.7691e-05 2.2693e-05 1.8115e-05 1.5316e-05 1.4746e-05 1.5445e-05 1.5039e-05 1.4737e-05 1.4304e-05 1.5124e-05 1.4728e-05 1.3917e-05 1.3759e-05 1.3667e-05 1.3604e-05 1.3577e-05 1.4995e-05 1.4989e-05 1.4968e-05 1.4960e-05 1.4964e-05 1.4947e-05 1.4948e-05 1.4964e-05 1.4967e-05 1.4945e-05 1.4933e-05 1.4941e-05 1.4943e-05 1.4945e-05 1.4954e-05 1.4944e-05 1.4951e-05 1.4943e-05 1.4945e-05 1.4945e-05 1.4952e-05 1.4947e-05 1.4940e-05 1.4938e-05 1.4944e-05 1.4947e-05 1.4959e-05 1.4936e-05 1.4954e-05 1.4946e-05 1.4947e-05 1.4965e-05 1.4952e-05 1.4951e-05 1.4947e-05 1.4939e-05 1.4957e-05 1.4953e-05 1.4951e-05 1.4953e-05 1.4942e-05 1.4943e-05 1.4949e-05 1.4949e-05 1.4943e-05 1.4953e-05 2.3910e-03 1.9185e-03 1.5131e-03 1.2253e-03 1.0093e-03 8.4470e-04 6.1236e-04 4.9361e-04 3.7222e-04 3.0243e-04 2.3269e-04 1.8544e-04 1.4036e-04 9.8829e-05 8.6929e-05 6.4440e-05 5.5304e-05 4.2277e-05 3.5143e-05 2.8573e-05 2.0931e-05 1.9364e-05 1.5864e-05 1.5516e-05 1.5621e-05 1.4203e-05 1.4019e-05 1.5230e-05 1.5075e-05 1.5090e-05 1.5425e-05 1.5230e-05 1.5116e-05 1.5400e-05 1.5293e-05 1.5263e-05 1.5262e-05 1.5245e-05 1.5239e-05 1.5244e-05 1.5229e-05 1.5230e-05 1.5245e-05 1.5249e-05 1.5228e-05 1.5216e-05 1.5224e-05 1.5226e-05 1.5228e-05 1.5237e-05 1.5227e-05 1.5233e-05 1.5226e-05 1.5228e-05 1.5227e-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 1.5236e-05 1.5229e-05 1.5230e-05 1.5247e-05 1.5235e-05 1.5234e-05 1.5230e-05 1.5222e-05 1.5239e-05 1.5235e-05 1.5234e-05 1.5235e-05 1.5225e-05 1.5226e-05 1.5232e-05 1.5232e-05 1.5226e-05 1.5235e-05 2.5238e-03 2.0536e-03 1.5790e-03 1.2640e-03 9.5045e-04 7.2190e-04 5.9184e-04 4.3505e-04 3.7851e-04 2.5207e-04 2.2079e-04 1.7487e-04 1.5297e-04 1.0903e-04 8.7454e-05 6.6843e-05 5.4478e-05 4.1788e-05 2.9848e-05 2.7467e-05 2.4130e-05 1.8403e-05 1.7302e-05 1.4459e-05 1.5435e-05 1.4592e-05 1.4802e-05 1.4722e-05 1.3758e-05 1.3772e-05 1.3784e-05 1.3935e-05 1.3864e-05 1.3816e-05 1.4218e-05 1.4192e-05 1.4195e-05 1.4179e-05 1.4175e-05 1.4180e-05 1.4165e-05 1.4167e-05 1.4183e-05 1.4187e-05 1.4165e-05 1.4153e-05 1.4161e-05 1.4164e-05 1.4166e-05 1.4175e-05 1.4164e-05 1.4171e-05 1.4164e-05 1.4165e-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 1.4156e-05 1.4174e-05 1.4167e-05 1.4167e-05 1.4185e-05 1.4173e-05 1.4172e-05 1.4168e-05 1.4160e-05 1.4177e-05 1.4173e-05 1.4172e-05 1.4173e-05 1.4163e-05 1.4163e-05 1.4170e-05 1.4169e-05 1.4164e-05 1.4173e-05 2.4471e-03 1.9495e-03 1.4989e-03 1.0988e-03 1.0405e-03 7.4007e-04 6.5052e-04 4.7235e-04 3.9107e-04 2.8238e-04 2.3345e-04 1.7902e-04 1.4211e-04 1.1412e-04 8.7554e-05 6.6958e-05 4.9938e-05 4.3665e-05 3.4165e-05 2.3752e-05 2.0358e-05 1.9024e-05 1.6119e-05 1.5332e-05 1.4570e-05 1.4546e-05 1.4225e-05 1.4734e-05 1.5071e-05 1.4222e-05 1.4458e-05 1.3505e-05 1.4747e-05 1.4662e-05 1.4620e-05 1.4581e-05 1.4575e-05 1.4555e-05 1.4548e-05 1.4551e-05 1.4535e-05 1.4536e-05 1.4551e-05 1.4554e-05 1.4533e-05 1.4522e-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 1.4528e-05 1.4526e-05 1.4532e-05 1.4535e-05 1.4546e-05 1.4525e-05 1.4542e-05 1.4534e-05 1.4535e-05 1.4552e-05 1.4540e-05 1.4539e-05 1.4535e-05 1.4528e-05 1.4544e-05 1.4541e-05 1.4539e-05 1.4541e-05 1.4530e-05 1.4531e-05 1.4537e-05 1.4537e-05 1.4532e-05 1.4541e-05 2.5801e-03 1.9661e-03 1.5874e-03 1.2300e-03 9.7011e-04 7.3953e-04 5.9920e-04 4.5630e-04 3.4275e-04 2.9156e-04 2.2552e-04 1.6791e-04 1.2174e-04 1.1045e-04 8.0660e-05 6.7278e-05 5.1394e-05 4.1870e-05 3.4034e-05 2.8157e-05 1.9885e-05 1.8803e-05 1.6225e-05 1.5545e-05 1.4479e-05 1.4561e-05 1.5534e-05 1.4120e-05 1.4257e-05 1.3898e-05 1.4428e-05 1.4220e-05 1.4099e-05 1.4021e-05 1.3983e-05 1.3947e-05 1.3943e-05 1.3924e-05 1.3917e-05 1.3921e-05 1.3905e-05 1.3906e-05 1.3922e-05 1.3925e-05 1.3904e-05 1.3892e-05 1.3900e-05 1.3902e-05 1.3904e-05 1.3913e-05 1.3902e-05 1.3909e-05 1.3902e-05 1.3903e-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 1.3905e-05 1.3923e-05 1.3911e-05 1.3909e-05 1.3906e-05 1.3898e-05 1.3915e-05 1.3911e-05 1.3910e-05 1.3911e-05 1.3901e-05 1.3901e-05 1.3907e-05 1.3907e-05 1.3902e-05 1.3911e-05 2.5585e-03 1.9862e-03 1.4212e-03 1.1430e-03 8.2719e-04 7.2589e-04 5.4727e-04 4.8015e-04 3.5121e-04 3.0159e-04 2.1739e-04 1.8059e-04 1.3763e-04 1.0877e-04 8.2231e-05 6.7278e-05 5.3334e-05 3.8750e-05 3.3772e-05 2.4336e-05 1.9585e-05 1.7225e-05 1.5079e-05 1.5313e-05 1.4303e-05 1.4097e-05 1.4668e-05 1.3616e-05 1.4386e-05 1.3476e-05 1.3302e-05 1.3203e-05 1.4464e-05 1.4376e-05 1.4331e-05 1.4292e-05 1.4284e-05 1.4264e-05 1.4256e-05 1.4258e-05 1.4243e-05 1.4243e-05 1.4258e-05 1.4261e-05 1.4241e-05 1.4229e-05 1.4237e-05 1.4239e-05 1.4241e-05 1.4249e-05 1.4239e-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 1.4242e-05 1.4259e-05 1.4247e-05 1.4246e-05 1.4243e-05 1.4235e-05 1.4251e-05 1.4248e-05 1.4246e-05 1.4248e-05 1.4238e-05 1.4238e-05 1.4244e-05 1.4244e-05 1.4239e-05 1.4248e-05 2.3637e-03 1.9066e-03 1.4818e-03 1.2200e-03 9.3928e-04 7.3602e-04 5.6243e-04 4.5972e-04 3.6435e-04 2.5902e-04 2.2493e-04 1.7349e-04 1.3440e-04 9.8225e-05 8.5373e-05 6.4171e-05 5.3735e-05 3.9883e-05 3.2518e-05 2.6538e-05 2.1460e-05 1.7703e-05 1.5779e-05 1.3502e-05 1.3275e-05 1.3471e-05 1.3681e-05 1.3650e-05 1.3427e-05 1.3297e-05 1.4303e-05 1.3949e-05 1.3846e-05 1.3778e-05 1.3746e-05 1.3715e-05 1.3713e-05 1.3695e-05 1.3689e-05 1.3693e-05 1.3679e-05 1.3680e-05 1.3695e-05 1.3698e-05 1.3678e-05 1.3666e-05 1.3674e-05 1.3676e-05 1.3678e-05 1.3686e-05 1.3676e-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 1.3690e-05 1.3669e-05 1.3686e-05 1.3679e-05 1.3679e-05 1.3696e-05 1.3685e-05 1.3683e-05 1.3680e-05 1.3672e-05 1.3688e-05 1.3685e-05 1.3684e-05 1.3685e-05 1.3675e-05 1.3676e-05 1.3682e-05 1.3681e-05 1.3676e-05 1.3685e-05 2.3880e-03 1.9755e-03 1.5325e-03 1.1830e-03 9.6840e-04 7.0416e-04 5.6239e-04 4.2140e-04 3.5803e-04 2.6642e-04 2.1933e-04 1.6713e-04 1.3856e-04 1.0393e-04 8.3186e-05 6.3211e-05 5.0750e-05 4.1000e-05 3.4889e-05 2.3012e-05 1.9493e-05 1.7559e-05 1.5133e-05 1.4427e-05 1.3811e-05 1.3303e-05 1.3029e-05 1.3346e-05 1.2668e-05 1.3919e-05 1.3698e-05 1.3573e-05 1.3825e-05 1.3754e-05 1.3720e-05 1.3687e-05 1.3683e-05 1.3666e-05 1.3659e-05 1.3663e-05 1.3648e-05 1.3649e-05 1.3664e-05 1.3667e-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 1.3659e-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 1.3658e-05 1.3654e-05 1.3653e-05 1.3654e-05 1.3644e-05 1.3645e-05 1.3651e-05 1.3650e-05 1.3646e-05 1.3654e-05 2.2477e-03 1.9120e-03 1.4964e-03 1.1286e-03 9.4732e-04 7.2913e-04 5.7069e-04 4.0907e-04 3.5328e-04 2.7683e-04 2.3711e-04 1.6975e-04 1.3313e-04 1.1126e-04 7.3024e-05 6.5145e-05 4.9251e-05 3.9573e-05 3.0782e-05 2.5363e-05 1.7939e-05 1.8149e-05 1.4775e-05 1.4548e-05 1.4262e-05 1.3916e-05 1.3866e-05 1.3821e-05 1.4484e-05 1.3989e-05 1.2912e-05 1.2799e-05 1.2866e-05 1.2809e-05 1.2784e-05 1.2756e-05 1.2756e-05 1.2741e-05 1.2736e-05 1.2741e-05 1.2726e-05 1.2727e-05 1.2743e-05 1.2746e-05 1.2726e-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 1.2727e-05 1.2739e-05 1.2717e-05 1.2734e-05 1.2727e-05 1.2728e-05 1.2744e-05 1.2733e-05 1.2732e-05 1.2728e-05 1.2720e-05 1.2737e-05 1.2733e-05 1.2732e-05 1.2733e-05 1.2723e-05 1.2724e-05 1.2730e-05 1.2729e-05 1.2724e-05 1.2733e-05 2.4058e-03 1.9055e-03 1.6232e-03 1.1820e-03 9.1377e-04 6.9260e-04 5.1162e-04 4.2165e-04 3.4065e-04 2.7564e-04 2.0230e-04 1.6526e-04 1.3078e-04 1.0543e-04 7.9735e-05 6.8103e-05 4.8360e-05 3.9722e-05 3.0424e-05 2.4746e-05 2.0414e-05 1.6010e-05 1.5095e-05 1.3175e-05 1.3599e-05 1.3408e-05 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