# # # 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) 3 # 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. # 4.74488392e+02 3.72987353e+02 2.93168105e+02 2.30407500e+02 1.81068964e+02 1.42294656e+02 1.11843208e+02 8.79646848e+01 6.93055721e+01 5.48367292e+01 4.37928798e+01 3.56062810e+01 2.98190667e+01 2.59884572e+01 2.36391797e+01 2.22995373e+01 2.15767250e+01 2.11981339e+01 2.10005421e+01 2.08956363e+01 2.08382914e+01 2.08058975e+01 2.07870417e+01 2.07757930e+01 2.07689582e+01 2.07647519e+01 2.07621408e+01 2.07605096e+01 2.07594874e+01 2.07588453e+01 2.07584409e+01 2.07581868e+01 2.07580262e+01 2.07579248e+01 2.07578612e+01 2.07578207e+01 2.07577954e+01 2.07577798e+01 2.07577696e+01 2.07577629e+01 2.07577587e+01 2.07577565e+01 2.07577547e+01 2.07577539e+01 2.07577534e+01 2.07577525e+01 2.07577525e+01 2.07577523e+01 2.07577522e+01 2.07577524e+01 2.07577521e+01 2.07577521e+01 2.07577521e+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 2.07577521e+01 2.07577520e+01 2.07577520e+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 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577521e+01 4.69562428e+02 3.69074468e+02 2.90059979e+02 2.27938517e+02 1.79107592e+02 1.40736288e+02 1.10604591e+02 8.69793374e+01 6.85200702e+01 5.42076527e+01 4.32842325e+01 3.51875688e+01 2.94643084e+01 2.56762381e+01 2.33531296e+01 2.20284401e+01 2.13136978e+01 2.09393370e+01 2.07439467e+01 2.06402102e+01 2.05835026e+01 2.05514703e+01 2.05328235e+01 2.05216999e+01 2.05149400e+01 2.05107802e+01 2.05081980e+01 2.05065849e+01 2.05055740e+01 2.05049389e+01 2.05045389e+01 2.05042877e+01 2.05041288e+01 2.05040286e+01 2.05039656e+01 2.05039256e+01 2.05039006e+01 2.05038851e+01 2.05038751e+01 2.05038685e+01 2.05038644e+01 2.05038621e+01 2.05038604e+01 2.05038596e+01 2.05038591e+01 2.05038582e+01 2.05038582e+01 2.05038580e+01 2.05038579e+01 2.05038580e+01 2.05038578e+01 2.05038577e+01 2.05038578e+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 2.05038578e+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 2.05038575e+01 2.05038578e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038578e+01 4.64636517e+02 3.65161586e+02 2.86951880e+02 2.25469580e+02 1.77146197e+02 1.39177910e+02 1.09365956e+02 8.59939703e+01 6.77345731e+01 5.35785824e+01 4.27755799e+01 3.47688556e+01 2.91095588e+01 2.53640198e+01 2.30670789e+01 2.17573382e+01 2.10506729e+01 2.06805374e+01 2.04873516e+01 2.03847808e+01 2.03287118e+01 2.02970406e+01 2.02786028e+01 2.02676038e+01 2.02609203e+01 2.02568070e+01 2.02542536e+01 2.02526572e+01 2.02516576e+01 2.02510296e+01 2.02506342e+01 2.02503857e+01 2.02502287e+01 2.02501296e+01 2.02500673e+01 2.02500277e+01 2.02500030e+01 2.02499877e+01 2.02499778e+01 2.02499712e+01 2.02499671e+01 2.02499649e+01 2.02499632e+01 2.02499624e+01 2.02499619e+01 2.02499610e+01 2.02499611e+01 2.02499608e+01 2.02499607e+01 2.02499609e+01 2.02499606e+01 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1.05650077e+02 8.30378726e+01 6.53780695e+01 5.16913715e+01 4.12496382e+01 3.35127002e+01 2.80453003e+01 2.44273583e+01 2.22089313e+01 2.09440391e+01 2.02615933e+01 1.99041378e+01 1.97175658e+01 1.96185023e+01 1.95643459e+01 1.95337521e+01 1.95159430e+01 1.95053161e+01 1.94988597e+01 1.94948855e+01 1.94924189e+01 1.94908779e+01 1.94899123e+01 1.94893056e+01 1.94889236e+01 1.94886835e+01 1.94885318e+01 1.94884361e+01 1.94883759e+01 1.94883376e+01 1.94883138e+01 1.94882990e+01 1.94882894e+01 1.94882831e+01 1.94882791e+01 1.94882770e+01 1.94882754e+01 1.94882746e+01 1.94882741e+01 1.94882733e+01 1.94882733e+01 1.94882731e+01 1.94882730e+01 1.94882731e+01 1.94882729e+01 1.94882728e+01 1.94882729e+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 1.94882729e+01 1.94882728e+01 1.94882728e+01 1.94882727e+01 1.94882727e+01 1.94882729e+01 1.94882728e+01 1.94882730e+01 1.94882727e+01 1.94882727e+01 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2.13186652e-01 2.52856725e-01 3.03218059e-01 3.63991258e-01 4.34874479e-01 5.15041342e-01 6.02728981e-01 6.94933900e-01 7.87321769e-01 3.23960504e+24 2.34115001e+24 1.67551369e+24 1.18506838e+24 8.26097538e+23 5.65521563e+23 3.78380188e+23 2.45888992e+23 1.53932071e+23 9.18813194e+22 5.16613795e+22 2.70199826e+22 1.30141100e+22 5.75154124e+21 2.34522102e+21 8.94471535e+20 3.24833745e+20 1.14296853e+20 3.95352867e+19 1.35934680e+19 4.68435814e+18 1.62783943e+18 5.73061353e+17 2.05035529e+17 7.47032700e+16 2.77319953e+16 1.04809518e+16 4.02448413e+15 1.56544768e+15 6.14820411e+14 2.43031464e+14 9.64373177e+13 3.83433203e+13 1.52584781e+13 6.07389971e+12 2.41802970e+12 9.62637906e+11 3.83234615e+11 1.52568909e+11 6.07389130e+10 2.41806443e+10 9.62650829e+09 3.83239228e+09 1.52570875e+09 6.07399161e+08 2.41812164e+08 9.62685412e+07 3.83260668e+07 1.52584305e+07 6.07483658e+06 2.41865415e+06 9.63021175e+05 3.83472431e+05 1.52717857e+05 6.08325833e+04 2.42396376e+04 9.66367599e+03 3.85580648e+03 1.54045283e+03 6.16678304e+02 2.47648179e+02 9.99370583e+01 4.06320999e+01 1.67101384e+01 6.99316169e+00 3.00651957e+00 1.34901358e+00 6.49435865e-01 3.51205964e-01 2.26177561e-01 1.79609054e-01 1.71590761e-01 1.85159102e-01 2.13186653e-01 2.52856722e-01 3.03218058e-01 3.63991262e-01 4.34874478e-01 5.15041340e-01 6.02728986e-01 6.94933899e-01 8.13751994e+24 5.88070294e+24 4.20870011e+24 2.97675719e+24 2.07506320e+24 1.42052594e+24 9.50448060e+23 6.17645221e+23 3.86659882e+23 2.30795440e+23 1.29767518e+23 6.78711278e+22 3.26899664e+22 1.44472184e+22 5.89092887e+21 2.24681091e+21 8.15945477e+20 2.87100713e+20 9.93081501e+19 3.41452477e+19 1.17665756e+19 4.08894778e+18 1.43946504e+18 5.15025964e+17 1.87646130e+17 6.96596227e+16 2.63269606e+16 1.01090470e+16 3.93222676e+15 1.54435904e+15 6.10467432e+14 2.42239586e+14 9.63140638e+13 3.83275626e+13 1.52569454e+13 6.07381546e+12 2.41803675e+12 9.62641612e+11 3.83235633e+11 1.52569164e+11 6.07389776e+10 2.41806610e+10 9.62651234e+09 3.83239334e+09 1.52570902e+09 6.07399212e+08 2.41812184e+08 9.62685449e+07 3.83260678e+07 1.52584310e+07 6.07483659e+06 2.41865417e+06 9.63021183e+05 3.83472429e+05 1.52717859e+05 6.08325835e+04 2.42396374e+04 9.66367600e+03 3.85580644e+03 1.54045283e+03 6.16678309e+02 2.47648184e+02 9.99370567e+01 4.06320997e+01 1.67101384e+01 6.99316166e+00 3.00651956e+00 1.34901359e+00 6.49435863e-01 3.51205968e-01 2.26177557e-01 1.79609054e-01 1.71590763e-01 1.85159102e-01 2.13186650e-01 2.52856721e-01 3.03218061e-01 3.63991260e-01 4.34874477e-01 5.15041344e-01 6.02728985e-01 2.04405259e+25 1.47716579e+25 1.05717767e+25 7.47727599e+24 5.21232309e+24 3.56819983e+24 2.38741759e+24 1.55145465e+24 9.71245710e+23 5.79731933e+23 3.25961268e+23 1.70484565e+23 8.21134830e+22 3.62897719e+22 1.47973443e+22 5.64373384e+21 2.04956237e+21 7.21164386e+20 2.49450795e+20 8.57689844e+19 2.95563017e+19 1.02709724e+19 3.61577269e+18 1.29368673e+18 4.71345768e+17 1.74977061e+17 6.61303350e+16 2.53927781e+16 9.87730702e+15 3.87925451e+15 1.53342485e+15 6.08478325e+14 2.41929987e+14 9.62744823e+13 3.83237128e+13 1.52567338e+13 6.07383315e+12 2.41804606e+12 9.62644169e+11 3.83236276e+11 1.52569327e+11 6.07390194e+10 2.41806711e+10 9.62651501e+09 3.83239402e+09 1.52570915e+09 6.07399261e+08 2.41812193e+08 9.62685475e+07 3.83260689e+07 1.52584310e+07 6.07483662e+06 2.41865419e+06 9.63021177e+05 3.83472434e+05 1.52717860e+05 6.08325832e+04 2.42396375e+04 9.66367590e+03 3.85580645e+03 1.54045284e+03 6.16678320e+02 2.47648180e+02 9.99370562e+01 4.06320997e+01 1.67101383e+01 6.99316164e+00 3.00651960e+00 1.34901359e+00 6.49435870e-01 3.51205962e-01 2.26177557e-01 1.79609056e-01 1.71590763e-01 1.85159100e-01 2.13186649e-01 2.52856723e-01 3.03218060e-01 3.63991259e-01 4.34874480e-01 5.15041343e-01 5.13442797e+25 3.71047271e+25 2.65551024e+25 1.87820681e+25 1.30927636e+25 8.96291275e+24 5.99692184e+24 3.89707789e+24 2.43965892e+24 1.45622078e+24 8.18777687e+23 4.28237865e+23 2.06259744e+23 9.11557856e+22 3.71692484e+22 1.41764185e+22 5.14826791e+21 1.81148304e+21 6.26592067e+20 2.15441948e+20 7.42420732e+19 2.57995163e+19 9.08241037e+18 3.24959414e+18 1.18396704e+18 4.39522505e+17 1.66111891e+17 6.37837746e+16 2.48106735e+16 9.74424673e+15 3.85178906e+15 1.52842844e+15 6.07700645e+14 2.41830562e+14 9.62648120e+13 3.83231812e+13 1.52567782e+13 6.07385653e+12 2.41805248e+12 9.62645784e+11 3.83236684e+11 1.52569432e+11 6.07390449e+10 2.41806778e+10 9.62651671e+09 3.83239434e+09 1.52570927e+09 6.07399284e+08 2.41812199e+08 9.62685501e+07 3.83260689e+07 1.52584311e+07 6.07483667e+06 2.41865417e+06 9.63021190e+05 3.83472435e+05 1.52717859e+05 6.08325833e+04 2.42396372e+04 9.66367593e+03 3.85580648e+03 1.54045287e+03 6.16678311e+02 2.47648179e+02 9.99370563e+01 4.06320996e+01 1.67101383e+01 6.99316172e+00 3.00651959e+00 1.34901360e+00 6.49435859e-01 3.51205962e-01 2.26177560e-01 1.79609056e-01 1.71590761e-01 1.85159099e-01 2.13186651e-01 2.52856723e-01 3.03218059e-01 3.63991262e-01 4.34874479e-01 1.28970999e+26 9.32028606e+25 6.67034015e+25 4.71784220e+25 3.28875354e+25 2.25138189e+25 1.50635866e+25 9.78901707e+24 6.12814614e+24 3.65786121e+24 2.05667656e+24 1.07568488e+24 5.18101052e+23 2.28972981e+23 9.33649306e+22 3.56095532e+22 1.29318643e+22 4.55023966e+21 1.57392811e+21 5.41165706e+20 1.86487656e+20 6.48054550e+19 2.28139834e+19 8.16261144e+18 2.97399074e+18 1.10403062e+18 4.17254205e+17 1.60217598e+17 6.23215940e+16 2.44764411e+16 9.67525666e+15 3.83923864e+15 1.52647500e+15 6.07450903e+14 2.41806272e+14 9.62634766e+13 3.83232928e+13 1.52568369e+13 6.07387267e+12 2.41805654e+12 9.62646809e+11 3.83236948e+11 1.52569496e+11 6.07390617e+10 2.41806821e+10 9.62651752e+09 3.83239465e+09 1.52570933e+09 6.07399300e+08 2.41812206e+08 9.62685503e+07 3.83260691e+07 1.52584312e+07 6.07483663e+06 2.41865420e+06 9.63021192e+05 3.83472433e+05 1.52717859e+05 6.08325826e+04 2.42396373e+04 9.66367600e+03 3.85580655e+03 1.54045285e+03 6.16678308e+02 2.47648179e+02 9.99370559e+01 4.06320995e+01 1.67101384e+01 6.99316170e+00 3.00651962e+00 1.34901358e+00 6.49435859e-01 3.51205966e-01 2.26177560e-01 1.79609054e-01 1.71590761e-01 1.85159101e-01 2.13186651e-01 2.52856722e-01 3.03218062e-01 3.63991262e-01 3.23960504e+26 2.34115001e+26 1.67551369e+26 1.18506838e+26 8.26097538e+25 5.65521563e+25 3.78380188e+25 2.45888992e+25 1.53932071e+25 9.18813194e+24 5.16613795e+24 2.70199826e+24 1.30141100e+24 5.75154124e+23 2.34522102e+23 8.94471535e+22 3.24833745e+22 1.14296853e+22 3.95352867e+21 1.35934680e+21 4.68435814e+20 1.62783943e+20 5.73061353e+19 2.05035529e+19 7.47032699e+18 2.77319953e+18 1.04809518e+18 4.02448410e+17 1.56544766e+17 6.14820403e+16 2.43031459e+16 9.64373143e+15 3.83433182e+15 1.52584767e+15 6.07389887e+14 2.41802917e+14 9.62637570e+13 3.83234403e+13 1.52568775e+13 6.07388286e+12 2.41805911e+12 9.62647470e+11 3.83237109e+11 1.52569538e+11 6.07390725e+10 2.41806841e+10 9.62651829e+09 3.83239480e+09 1.52570937e+09 6.07399317e+08 2.41812206e+08 9.62685508e+07 3.83260695e+07 1.52584311e+07 6.07483671e+06 2.41865421e+06 9.63021187e+05 3.83472434e+05 1.52717858e+05 6.08325828e+04 2.42396375e+04 9.66367618e+03 3.85580649e+03 1.54045284e+03 6.16678308e+02 2.47648178e+02 9.99370557e+01 4.06320999e+01 1.67101384e+01 6.99316177e+00 3.00651957e+00 1.34901358e+00 6.49435867e-01 3.51205966e-01 2.26177557e-01 1.79609053e-01 1.71590762e-01 1.85159100e-01 2.13186650e-01 2.52856724e-01 3.03218061e-01 8.13751994e+26 5.88070294e+26 4.20870011e+26 2.97675719e+26 2.07506320e+26 1.42052594e+26 9.50448060e+25 6.17645221e+25 3.86659882e+25 2.30795440e+25 1.29767518e+25 6.78711278e+24 3.26899664e+24 1.44472184e+24 5.89092887e+23 2.24681091e+23 8.15945477e+22 2.87100713e+22 9.93081501e+21 3.41452477e+21 1.17665756e+21 4.08894778e+20 1.43946504e+20 5.15025964e+19 1.87646130e+19 6.96596226e+18 2.63269605e+18 1.01090470e+18 3.93222674e+17 1.54435903e+17 6.10467424e+16 2.42239581e+16 9.63140605e+15 3.83275605e+15 1.52569441e+15 6.07381461e+14 2.41803622e+14 9.62641276e+13 3.83235422e+13 1.52569031e+13 6.07388932e+12 2.41806077e+12 9.62647875e+11 3.83237215e+11 1.52569565e+11 6.07390776e+10 2.41806861e+10 9.62651867e+09 3.83239490e+09 1.52570941e+09 6.07399318e+08 2.41812208e+08 9.62685515e+07 3.83260692e+07 1.52584313e+07 6.07483673e+06 2.41865420e+06 9.63021189e+05 3.83472430e+05 1.52717858e+05 6.08325833e+04 2.42396379e+04 9.66367603e+03 3.85580647e+03 1.54045284e+03 6.16678305e+02 2.47648177e+02 9.99370568e+01 4.06320998e+01 1.67101386e+01 6.99316165e+00 3.00651957e+00 1.34901359e+00 6.49435867e-01 3.51205962e-01 2.26177556e-01 1.79609055e-01 1.71590762e-01 1.85159100e-01 2.13186652e-01 2.52856723e-01 2.04405259e+27 1.47716579e+27 1.05717767e+27 7.47727599e+26 5.21232309e+26 3.56819983e+26 2.38741759e+26 1.55145465e+26 9.71245710e+25 5.79731933e+25 3.25961268e+25 1.70484565e+25 8.21134830e+24 3.62897719e+24 1.47973443e+24 5.64373384e+23 2.04956237e+23 7.21164386e+22 2.49450795e+22 8.57689844e+21 2.95563017e+21 1.02709724e+21 3.61577269e+20 1.29368673e+20 4.71345768e+19 1.74977061e+19 6.61303349e+18 2.53927780e+18 9.87730699e+17 3.87925448e+17 1.53342484e+17 6.08478316e+16 2.41929981e+16 9.62744790e+15 3.83237107e+15 1.52567324e+15 6.07383231e+14 2.41804553e+14 9.62643834e+13 3.83236064e+13 1.52569193e+13 6.07389350e+12 2.41806179e+12 9.62648142e+11 3.83237283e+11 1.52569578e+11 6.07390825e+10 2.41806870e+10 9.62651892e+09 3.83239501e+09 1.52570942e+09 6.07399321e+08 2.41812210e+08 9.62685510e+07 3.83260697e+07 1.52584313e+07 6.07483670e+06 2.41865420e+06 9.63021178e+05 3.83472431e+05 1.52717859e+05 6.08325844e+04 2.42396375e+04 9.66367598e+03 3.85580647e+03 1.54045284e+03 6.16678304e+02 2.47648180e+02 9.99370565e+01 4.06321002e+01 1.67101383e+01 6.99316165e+00 3.00651960e+00 1.34901359e+00 6.49435859e-01 3.51205960e-01 2.26177558e-01 1.79609054e-01 1.71590761e-01 1.85159102e-01 2.13186651e-01 # # uncertainties in the thermally averaged relativistic Gaunt factors 2.9369e-04 2.4690e-04 1.9426e-04 1.6442e-04 1.2826e-04 1.0984e-04 8.0297e-05 6.2287e-05 4.7991e-05 3.6839e-05 3.1881e-05 2.6104e-05 2.1550e-05 1.7013e-05 1.6722e-05 1.6867e-05 1.5616e-05 1.5223e-05 1.4910e-05 1.5168e-05 1.5056e-05 1.6318e-05 1.5987e-05 1.5678e-05 1.5597e-05 1.5548e-05 1.5530e-05 1.5492e-05 1.5480e-05 1.5479e-05 1.5457e-05 1.5477e-05 1.5463e-05 1.5459e-05 1.5465e-05 1.5447e-05 1.5461e-05 1.5482e-05 1.5482e-05 1.5461e-05 1.5446e-05 1.5464e-05 1.5457e-05 1.5460e-05 1.5471e-05 1.5448e-05 1.5466e-05 1.5459e-05 1.5460e-05 1.5466e-05 1.5468e-05 1.5464e-05 1.5463e-05 1.5452e-05 1.5469e-05 1.5461e-05 1.5464e-05 1.5466e-05 1.5455e-05 1.5459e-05 1.5462e-05 1.5480e-05 1.5472e-05 1.5466e-05 1.5452e-05 1.5456e-05 1.5455e-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 1.5445e-05 1.5454e-05 1.5457e-05 1.5458e-05 1.5468e-05 1.5457e-05 3.0669e-04 2.6535e-04 2.0928e-04 1.6664e-04 1.2871e-04 8.6560e-05 7.7204e-05 5.4012e-05 5.2368e-05 3.8244e-05 3.0416e-05 2.3087e-05 2.1766e-05 1.7681e-05 1.7298e-05 1.5110e-05 1.6307e-05 1.4455e-05 1.5181e-05 1.4697e-05 1.4906e-05 1.4952e-05 1.4757e-05 1.4671e-05 1.5227e-05 1.5171e-05 1.5148e-05 1.5107e-05 1.5093e-05 1.5091e-05 1.5068e-05 1.5087e-05 1.5073e-05 1.5070e-05 1.5075e-05 1.5057e-05 1.5071e-05 1.5092e-05 1.5092e-05 1.5071e-05 1.5056e-05 1.5074e-05 1.5067e-05 1.5070e-05 1.5081e-05 1.5058e-05 1.5076e-05 1.5069e-05 1.5069e-05 1.5076e-05 1.5078e-05 1.5074e-05 1.5073e-05 1.5062e-05 1.5079e-05 1.5071e-05 1.5074e-05 1.5076e-05 1.5064e-05 1.5069e-05 1.5072e-05 1.5090e-05 1.5082e-05 1.5076e-05 1.5062e-05 1.5065e-05 1.5065e-05 1.5076e-05 1.5077e-05 1.5078e-05 1.5060e-05 1.5067e-05 1.5086e-05 1.5073e-05 1.5068e-05 1.5055e-05 1.5064e-05 1.5067e-05 1.5068e-05 1.5078e-05 1.5067e-05 3.2249e-04 2.4303e-04 1.9040e-04 1.3917e-04 1.2342e-04 9.8832e-05 7.9325e-05 6.0846e-05 4.8439e-05 3.7245e-05 3.2648e-05 2.1950e-05 2.0618e-05 1.7360e-05 1.7949e-05 1.6387e-05 1.5783e-05 1.5088e-05 1.4615e-05 1.6092e-05 1.5427e-05 1.4730e-05 1.4575e-05 1.4514e-05 1.4467e-05 1.4439e-05 1.4434e-05 1.4952e-05 1.4939e-05 1.4938e-05 1.4916e-05 1.4936e-05 1.4922e-05 1.4919e-05 1.4924e-05 1.4906e-05 1.4920e-05 1.4941e-05 1.4941e-05 1.4920e-05 1.4906e-05 1.4923e-05 1.4917e-05 1.4919e-05 1.4930e-05 1.4908e-05 1.4925e-05 1.4918e-05 1.4919e-05 1.4925e-05 1.4927e-05 1.4923e-05 1.4922e-05 1.4911e-05 1.4928e-05 1.4921e-05 1.4924e-05 1.4925e-05 1.4914e-05 1.4918e-05 1.4921e-05 1.4939e-05 1.4931e-05 1.4925e-05 1.4911e-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 1.4905e-05 1.4913e-05 1.4916e-05 1.4917e-05 1.4927e-05 1.4916e-05 3.3378e-04 2.4814e-04 2.0441e-04 1.5888e-04 1.3734e-04 9.9164e-05 7.3065e-05 6.0450e-05 4.6051e-05 4.0890e-05 3.0381e-05 2.4887e-05 1.9593e-05 1.6694e-05 1.4573e-05 1.4833e-05 1.4201e-05 1.5027e-05 1.4498e-05 1.5312e-05 1.4855e-05 1.3988e-05 1.3785e-05 1.3695e-05 1.3629e-05 1.3588e-05 1.5026e-05 1.4985e-05 1.4970e-05 1.4967e-05 1.4945e-05 1.4963e-05 1.4950e-05 1.4946e-05 1.4951e-05 1.4934e-05 1.4947e-05 1.4967e-05 1.4967e-05 1.4946e-05 1.4933e-05 1.4949e-05 1.4943e-05 1.4946e-05 1.4957e-05 1.4935e-05 1.4951e-05 1.4945e-05 1.4945e-05 1.4952e-05 1.4953e-05 1.4950e-05 1.4949e-05 1.4938e-05 1.4955e-05 1.4947e-05 1.4950e-05 1.4952e-05 1.4941e-05 1.4945e-05 1.4948e-05 1.4965e-05 1.4958e-05 1.4952e-05 1.4938e-05 1.4942e-05 1.4942e-05 1.4952e-05 1.4953e-05 1.4953e-05 1.4936e-05 1.4943e-05 1.4961e-05 1.4949e-05 1.4944e-05 1.4932e-05 1.4940e-05 1.4943e-05 1.4944e-05 1.4954e-05 1.4943e-05 2.8931e-04 2.5231e-04 1.8710e-04 1.6449e-04 1.1841e-04 9.3608e-05 7.0710e-05 6.1671e-05 4.7130e-05 3.7505e-05 2.7667e-05 2.4061e-05 1.8909e-05 1.6748e-05 1.5889e-05 1.5938e-05 1.4991e-05 1.4384e-05 1.4112e-05 1.4719e-05 1.5177e-05 1.4275e-05 1.5269e-05 1.5150e-05 1.5430e-05 1.5305e-05 1.5290e-05 1.5256e-05 1.5246e-05 1.5245e-05 1.5225e-05 1.5244e-05 1.5231e-05 1.5228e-05 1.5233e-05 1.5217e-05 1.5230e-05 1.5249e-05 1.5249e-05 1.5229e-05 1.5216e-05 1.5232e-05 1.5226e-05 1.5229e-05 1.5239e-05 1.5218e-05 1.5234e-05 1.5228e-05 1.5228e-05 1.5234e-05 1.5236e-05 1.5232e-05 1.5231e-05 1.5221e-05 1.5237e-05 1.5230e-05 1.5233e-05 1.5235e-05 1.5224e-05 1.5228e-05 1.5230e-05 1.5247e-05 1.5240e-05 1.5234e-05 1.5221e-05 1.5225e-05 1.5225e-05 1.5234e-05 1.5235e-05 1.5236e-05 1.5219e-05 1.5226e-05 1.5243e-05 1.5232e-05 1.5227e-05 1.5215e-05 1.5223e-05 1.5226e-05 1.5227e-05 1.5236e-05 1.5226e-05 3.1671e-04 2.5661e-04 2.0331e-04 1.5693e-04 1.2450e-04 9.7101e-05 7.2077e-05 5.9009e-05 4.9760e-05 3.5448e-05 3.1461e-05 2.5683e-05 1.9569e-05 1.7328e-05 1.5644e-05 1.5548e-05 1.3797e-05 1.5208e-05 1.4951e-05 1.4688e-05 1.3623e-05 1.4078e-05 1.3950e-05 1.3885e-05 1.3836e-05 1.4228e-05 1.4219e-05 1.4188e-05 1.4179e-05 1.4181e-05 1.4161e-05 1.4181e-05 1.4168e-05 1.4165e-05 1.4171e-05 1.4154e-05 1.4167e-05 1.4187e-05 1.4187e-05 1.4167e-05 1.4153e-05 1.4170e-05 1.4164e-05 1.4166e-05 1.4177e-05 1.4155e-05 1.4172e-05 1.4166e-05 1.4166e-05 1.4172e-05 1.4174e-05 1.4170e-05 1.4169e-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 1.4178e-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 1.4164e-05 1.4152e-05 1.4161e-05 1.4163e-05 1.4164e-05 1.4174e-05 1.4164e-05 3.3868e-04 2.2597e-04 1.9521e-04 1.5299e-04 1.1283e-04 9.0915e-05 7.1858e-05 5.6419e-05 4.7214e-05 3.6408e-05 2.7411e-05 2.1551e-05 2.1590e-05 1.5355e-05 1.5510e-05 1.5148e-05 1.4656e-05 1.4657e-05 1.4988e-05 1.3998e-05 1.4383e-05 1.4524e-05 1.3518e-05 1.4786e-05 1.4692e-05 1.4635e-05 1.4611e-05 1.4571e-05 1.4557e-05 1.4554e-05 1.4533e-05 1.4550e-05 1.4537e-05 1.4534e-05 1.4539e-05 1.4522e-05 1.4535e-05 1.4554e-05 1.4554e-05 1.4535e-05 1.4522e-05 1.4537e-05 1.4532e-05 1.4534e-05 1.4544e-05 1.4523e-05 1.4539e-05 1.4533e-05 1.4534e-05 1.4540e-05 1.4541e-05 1.4538e-05 1.4537e-05 1.4527e-05 1.4542e-05 1.4535e-05 1.4538e-05 1.4540e-05 1.4529e-05 1.4533e-05 1.4536e-05 1.4553e-05 1.4545e-05 1.4539e-05 1.4527e-05 1.4530e-05 1.4530e-05 1.4540e-05 1.4540e-05 1.4541e-05 1.4525e-05 1.4531e-05 1.4549e-05 1.4537e-05 1.4532e-05 1.4521e-05 1.4528e-05 1.4531e-05 1.4532e-05 1.4542e-05 1.4531e-05 3.2295e-04 2.3590e-04 2.0233e-04 1.4661e-04 1.2687e-04 9.4928e-05 7.4285e-05 5.7182e-05 4.3161e-05 3.8032e-05 2.6798e-05 2.3910e-05 1.7233e-05 1.6153e-05 1.5223e-05 1.5295e-05 1.4856e-05 1.5337e-05 1.4386e-05 1.3754e-05 1.4014e-05 1.4526e-05 1.4262e-05 1.4135e-05 1.4049e-05 1.3997e-05 1.3976e-05 1.3938e-05 1.3925e-05 1.3923e-05 1.3902e-05 1.3920e-05 1.3907e-05 1.3904e-05 1.3909e-05 1.3892e-05 1.3905e-05 1.3925e-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 1.3911e-05 1.3908e-05 1.3907e-05 1.3897e-05 1.3913e-05 1.3906e-05 1.3908e-05 1.3910e-05 1.3899e-05 1.3903e-05 1.3906e-05 1.3923e-05 1.3916e-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 1.3902e-05 1.3891e-05 1.3899e-05 1.3901e-05 1.3902e-05 1.3912e-05 1.3902e-05 3.1059e-04 2.4211e-04 1.7475e-04 1.4950e-04 1.1706e-04 9.7241e-05 6.6535e-05 5.9202e-05 4.4709e-05 3.6216e-05 2.8432e-05 2.2826e-05 1.8369e-05 1.6692e-05 1.6196e-05 1.4481e-05 1.4521e-05 1.4005e-05 1.3787e-05 1.3710e-05 1.3584e-05 1.3345e-05 1.3213e-05 1.4504e-05 1.4407e-05 1.4347e-05 1.4321e-05 1.4281e-05 1.4266e-05 1.4262e-05 1.4241e-05 1.4258e-05 1.4245e-05 1.4241e-05 1.4246e-05 1.4230e-05 1.4242e-05 1.4261e-05 1.4261e-05 1.4242e-05 1.4229e-05 1.4245e-05 1.4239e-05 1.4241e-05 1.4251e-05 1.4231e-05 1.4247e-05 1.4241e-05 1.4241e-05 1.4247e-05 1.4248e-05 1.4245e-05 1.4244e-05 1.4234e-05 1.4249e-05 1.4243e-05 1.4245e-05 1.4247e-05 1.4237e-05 1.4240e-05 1.4243e-05 1.4259e-05 1.4252e-05 1.4247e-05 1.4234e-05 1.4237e-05 1.4237e-05 1.4247e-05 1.4247e-05 1.4248e-05 1.4232e-05 1.4239e-05 1.4255e-05 1.4244e-05 1.4240e-05 1.4228e-05 1.4236e-05 1.4238e-05 1.4239e-05 1.4249e-05 1.4239e-05 2.8521e-04 2.2236e-04 1.8746e-04 1.4800e-04 1.1270e-04 9.2270e-05 7.1534e-05 5.5881e-05 4.4582e-05 3.1846e-05 2.8463e-05 2.3885e-05 1.9161e-05 1.5041e-05 1.4845e-05 1.3716e-05 1.3838e-05 1.3487e-05 1.3518e-05 1.3235e-05 1.3389e-05 1.4412e-05 1.3983e-05 1.3877e-05 1.3803e-05 1.3759e-05 1.3742e-05 1.3708e-05 1.3696e-05 1.3696e-05 1.3675e-05 1.3693e-05 1.3681e-05 1.3678e-05 1.3683e-05 1.3667e-05 1.3679e-05 1.3698e-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 1.3685e-05 1.3682e-05 1.3681e-05 1.3671e-05 1.3687e-05 1.3680e-05 1.3682e-05 1.3684e-05 1.3674e-05 1.3677e-05 1.3680e-05 1.3697e-05 1.3689e-05 1.3684e-05 1.3671e-05 1.3674e-05 1.3674e-05 1.3684e-05 1.3685e-05 1.3685e-05 1.3669e-05 1.3676e-05 1.3693e-05 1.3682e-05 1.3677e-05 1.3665e-05 1.3673e-05 1.3675e-05 1.3676e-05 1.3686e-05 1.3676e-05 2.9430e-04 2.3888e-04 1.8648e-04 1.3651e-04 1.1370e-04 8.9794e-05 7.4501e-05 4.7794e-05 4.2948e-05 3.7701e-05 2.7199e-05 2.0336e-05 1.8715e-05 1.5628e-05 1.5389e-05 1.3427e-05 1.4414e-05 1.2815e-05 1.3773e-05 1.2755e-05 1.4051e-05 1.3754e-05 1.3592e-05 1.3858e-05 1.3780e-05 1.3733e-05 1.3714e-05 1.3679e-05 1.3667e-05 1.3665e-05 1.3646e-05 1.3663e-05 1.3651e-05 1.3647e-05 1.3652e-05 1.3637e-05 1.3649e-05 1.3667e-05 1.3667e-05 1.3648e-05 1.3636e-05 1.3651e-05 1.3645e-05 1.3648e-05 1.3658e-05 1.3638e-05 1.3653e-05 1.3647e-05 1.3647e-05 1.3653e-05 1.3654e-05 1.3651e-05 1.3650e-05 1.3641e-05 1.3656e-05 1.3649e-05 1.3652e-05 1.3653e-05 1.3643e-05 1.3647e-05 1.3649e-05 1.3665e-05 1.3658e-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 1.3635e-05 1.3642e-05 1.3645e-05 1.3646e-05 1.3655e-05 1.3645e-05 3.1917e-04 2.1763e-04 1.7086e-04 1.2521e-04 1.1841e-04 9.3253e-05 7.0868e-05 5.4841e-05 4.3065e-05 3.3004e-05 2.7420e-05 1.9352e-05 1.7789e-05 1.5391e-05 1.6660e-05 1.4028e-05 1.4715e-05 1.3370e-05 1.2889e-05 1.3176e-05 1.4141e-05 1.3797e-05 1.2814e-05 1.2754e-05 1.2831e-05 1.2794e-05 1.2782e-05 1.2751e-05 1.2741e-05 1.2742e-05 1.2722e-05 1.2741e-05 1.2729e-05 1.2726e-05 1.2731e-05 1.2715e-05 1.2727e-05 1.2746e-05 1.2746e-05 1.2727e-05 1.2714e-05 1.2730e-05 1.2724e-05 1.2726e-05 1.2737e-05 1.2716e-05 1.2732e-05 1.2726e-05 1.2726e-05 1.2732e-05 1.2733e-05 1.2730e-05 1.2729e-05 1.2719e-05 1.2735e-05 1.2728e-05 1.2731e-05 1.2732e-05 1.2722e-05 1.2725e-05 1.2728e-05 1.2745e-05 1.2738e-05 1.2732e-05 1.2719e-05 1.2722e-05 1.2722e-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 1.2713e-05 1.2721e-05 1.2723e-05 1.2724e-05 1.2734e-05 1.2724e-05 2.7626e-04 2.2342e-04 1.8294e-04 1.4355e-04 1.1466e-04 8.4449e-05 6.2013e-05 5.1710e-05 4.0961e-05 3.6522e-05 2.6839e-05 2.1975e-05 1.7264e-05 1.4808e-05 1.4199e-05 1.3290e-05 1.3639e-05 1.2925e-05 1.2867e-05 1.2498e-05 1.3428e-05 1.3101e-05 1.2919e-05 1.2836e-05 1.2777e-05 1.2740e-05 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