# # # 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) 4 # 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. # 6.40856789e+02 5.03833716e+02 3.96065681e+02 3.11315843e+02 2.44675899e+02 1.92284802e+02 1.51107333e+02 1.18761413e+02 9.33844267e+01 7.35315589e+01 5.80986071e+01 4.62601474e+01 3.74064253e+01 3.10614571e+01 2.67860997e+01 2.41129691e+01 2.25625263e+01 2.17162327e+01 2.12708070e+01 2.10386454e+01 2.09160921e+01 2.08496282e+01 2.08123899e+01 2.07908626e+01 2.07780913e+01 2.07703635e+01 2.07656202e+01 2.07626810e+01 2.07608479e+01 2.07596996e+01 2.07589787e+01 2.07585251e+01 2.07582395e+01 2.07580593e+01 2.07579460e+01 2.07578746e+01 2.07578292e+01 2.07578007e+01 2.07577827e+01 2.07577714e+01 2.07577645e+01 2.07577598e+01 2.07577568e+01 2.07577551e+01 2.07577540e+01 2.07577533e+01 2.07577527e+01 2.07577525e+01 2.07577523e+01 2.07577522e+01 2.07577522e+01 2.07577521e+01 2.07577522e+01 2.07577521e+01 2.07577521e+01 2.07577521e+01 2.07577521e+01 2.07577521e+01 2.07577523e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577521e+01 2.07577522e+01 2.07577523e+01 2.07577521e+01 2.07577521e+01 2.07577518e+01 2.07577520e+01 2.07577522e+01 2.07577521e+01 2.07577520e+01 2.07577520e+01 2.07577519e+01 2.07577522e+01 2.07577522e+01 2.07577521e+01 2.07577521e+01 2.07577521e+01 2.07577519e+01 6.34288890e+02 4.98616592e+02 3.91921598e+02 3.08023996e+02 2.42061007e+02 1.90207579e+02 1.49457015e+02 1.17449855e+02 9.23413565e+01 7.27006211e+01 5.74341463e+01 4.57245154e+01 3.69678795e+01 3.06929369e+01 2.64650114e+01 2.38216332e+01 2.22884922e+01 2.14516490e+01 2.10111992e+01 2.07816239e+01 2.06604378e+01 2.05947131e+01 2.05578881e+01 2.05366020e+01 2.05239728e+01 2.05163304e+01 2.05116389e+01 2.05087322e+01 2.05069193e+01 2.05057837e+01 2.05050708e+01 2.05046222e+01 2.05043398e+01 2.05041616e+01 2.05040496e+01 2.05039789e+01 2.05039340e+01 2.05039059e+01 2.05038881e+01 2.05038769e+01 2.05038701e+01 2.05038654e+01 2.05038624e+01 2.05038608e+01 2.05038596e+01 2.05038589e+01 2.05038584e+01 2.05038582e+01 2.05038580e+01 2.05038579e+01 2.05038579e+01 2.05038577e+01 2.05038579e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038580e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038578e+01 2.05038578e+01 2.05038580e+01 2.05038578e+01 2.05038578e+01 2.05038575e+01 2.05038577e+01 2.05038579e+01 2.05038578e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038576e+01 6.27720981e+02 4.93399488e+02 3.87777500e+02 3.04732222e+02 2.39446168e+02 1.88130340e+02 1.47806659e+02 1.16138279e+02 9.12982971e+01 7.18696829e+01 5.67696898e+01 4.51888713e+01 3.65293402e+01 3.03244287e+01 2.61439141e+01 2.35303045e+01 2.20144580e+01 2.11870623e+01 2.07515883e+01 2.05246037e+01 2.04047834e+01 2.03397963e+01 2.03033864e+01 2.02823390e+01 2.02698513e+01 2.02622944e+01 2.02576561e+01 2.02547819e+01 2.02529879e+01 2.02518651e+01 2.02511601e+01 2.02507165e+01 2.02504372e+01 2.02502611e+01 2.02501503e+01 2.02500804e+01 2.02500360e+01 2.02500082e+01 2.02499906e+01 2.02499795e+01 2.02499728e+01 2.02499682e+01 2.02499652e+01 2.02499636e+01 2.02499624e+01 2.02499618e+01 2.02499612e+01 2.02499611e+01 2.02499608e+01 2.02499608e+01 2.02499607e+01 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1.42855652e+02 1.12203599e+02 8.81690761e+01 6.93768739e+01 5.47763043e+01 4.35819669e+01 3.52137036e+01 2.92188872e+01 2.51806515e+01 2.26563040e+01 2.11923480e+01 2.03933098e+01 1.99727545e+01 1.97535448e+01 1.96378192e+01 1.95750523e+01 1.95398822e+01 1.95195522e+01 1.95074889e+01 1.95001871e+01 1.94957058e+01 1.94929292e+01 1.94911975e+01 1.94901127e+01 1.94894316e+01 1.94890031e+01 1.94887333e+01 1.94885631e+01 1.94884561e+01 1.94883886e+01 1.94883457e+01 1.94883188e+01 1.94883018e+01 1.94882911e+01 1.94882846e+01 1.94882802e+01 1.94882773e+01 1.94882757e+01 1.94882746e+01 1.94882740e+01 1.94882734e+01 1.94882733e+01 1.94882730e+01 1.94882730e+01 1.94882730e+01 1.94882728e+01 1.94882730e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882729e+01 1.94882730e+01 1.94882728e+01 1.94882728e+01 1.94882727e+01 1.94882729e+01 1.94882729e+01 1.94882729e+01 1.94882731e+01 1.94882729e+01 1.94882729e+01 1.94882726e+01 1.94882728e+01 1.94882730e+01 1.94882729e+01 1.94882728e+01 1.94882728e+01 1.94882727e+01 1.94882729e+01 1.94882729e+01 1.94882728e+01 1.94882729e+01 1.94882728e+01 1.94882727e+01 6.01449319e+02 4.72531170e+02 3.71201076e+02 2.91564912e+02 2.28986685e+02 1.79821407e+02 1.41205312e+02 1.10892038e+02 8.71260104e+01 6.85459378e+01 5.41118473e+01 4.30463358e+01 3.47751627e+01 2.88503726e+01 2.48595600e+01 2.23649705e+01 2.09183138e+01 2.01287240e+01 1.97131466e+01 1.94965233e+01 1.93821659e+01 1.93201365e+01 1.92853806e+01 1.92652888e+01 1.92533649e+01 1.92461504e+01 1.92417221e+01 1.92389780e+01 1.92372665e+01 1.92361944e+01 1.92355213e+01 1.92350978e+01 1.92348311e+01 1.92346630e+01 1.92345572e+01 1.92344905e+01 1.92344481e+01 1.92344215e+01 1.92344047e+01 1.92343941e+01 1.92343877e+01 1.92343833e+01 1.92343805e+01 1.92343789e+01 1.92343778e+01 1.92343772e+01 1.92343766e+01 1.92343765e+01 1.92343763e+01 1.92343762e+01 1.92343762e+01 1.92343761e+01 1.92343762e+01 1.92343761e+01 1.92343761e+01 1.92343761e+01 1.92343760e+01 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2.33001797e-01 2.63819480e-01 3.09346088e-01 3.67354351e-01 4.36593023e-01 5.15758125e-01 6.02837425e-01 6.94690201e-01 7.86900317e-01 4.80680677e+24 3.50835793e+24 2.54086014e+24 1.82319241e+24 1.29363947e+24 9.05355971e+23 6.22870720e+23 4.19399041e+23 2.74770942e+23 1.73825634e+23 1.05158867e+23 6.01328882e+22 3.20978040e+22 1.58209214e+22 7.16274828e+21 2.98900015e+21 1.16389120e+21 4.30399413e+20 1.53919940e+20 5.40720080e+19 1.88875635e+19 6.61912898e+18 2.34236544e+18 8.40764809e+17 3.06927935e+17 1.14076456e+17 4.31448759e+16 1.65740105e+16 6.44865613e+15 2.53306745e+15 1.00138634e+15 3.97382581e+14 1.58004117e+14 6.28780617e+13 2.50300263e+13 9.96457855e+12 3.96700282e+12 1.57930376e+12 6.28735264e+11 2.50304852e+11 9.96483979e+10 3.96708210e+10 1.57932703e+10 6.28742989e+09 2.50307969e+09 9.96499223e+08 3.96716724e+08 1.57937799e+08 6.28774439e+07 2.50327638e+07 9.96622877e+06 3.96794625e+06 1.57986916e+06 6.29084196e+05 2.50522996e+05 9.97854841e+04 3.97571376e+04 1.58476512e+04 6.32168970e+03 2.52465577e+03 1.01008002e+03 4.05259443e+02 1.63308180e+02 6.62528275e+01 2.71562709e+01 1.13071197e+01 4.82281651e+00 2.13652861e+00 1.00689695e+00 5.25904611e-01 3.22347807e-01 2.42566033e-01 2.21968995e-01 2.33001797e-01 2.63819478e-01 3.09346092e-01 3.67354351e-01 4.36593021e-01 5.15758126e-01 6.02837425e-01 6.94690196e-01 1.20741527e+25 8.81259668e+24 6.38235212e+24 4.57965227e+24 3.24947543e+24 2.27415138e+24 1.56458051e+24 1.05348276e+24 6.90193400e+23 4.36630250e+23 2.64147132e+23 1.51046986e+23 8.06260384e+22 3.97403578e+22 1.79920102e+22 7.50802891e+21 2.92356252e+21 1.08111445e+21 3.86629408e+20 1.35822743e+20 4.74434144e+19 1.66265003e+19 5.88375597e+18 2.11190572e+18 7.70968116e+17 2.86547103e+17 1.08375028e+17 4.16320319e+16 1.61982918e+16 6.36277774e+15 2.51536876e+15 9.98179907e+14 3.96888392e+14 1.57942547e+14 6.28725814e+13 2.50298884e+13 9.96465976e+12 3.96703118e+12 1.57931126e+12 6.28737159e+11 2.50305331e+11 9.96485167e+10 3.96708507e+10 1.57932779e+10 6.28743177e+09 2.50308017e+09 9.96499337e+08 3.96716756e+08 1.57937806e+08 6.28774460e+07 2.50327644e+07 9.96622884e+06 3.96794631e+06 1.57986916e+06 6.29084199e+05 2.50522997e+05 9.97854840e+04 3.97571377e+04 1.58476513e+04 6.32168963e+03 2.52465576e+03 1.01008001e+03 4.05259447e+02 1.63308181e+02 6.62528276e+01 2.71562711e+01 1.13071196e+01 4.82281651e+00 2.13652858e+00 1.00689697e+00 5.25904617e-01 3.22347805e-01 2.42566032e-01 2.21968995e-01 2.33001796e-01 2.63819482e-01 3.09346092e-01 3.67354349e-01 4.36593022e-01 5.15758125e-01 6.02837420e-01 3.03289004e+25 2.21362420e+25 1.60317437e+25 1.15035664e+25 8.16231325e+24 5.71240999e+24 3.93004855e+24 2.64622905e+24 1.73368744e+24 1.09676560e+24 6.63507596e+23 3.79412875e+23 2.02523452e+23 9.98232655e+22 4.51938863e+22 1.88593159e+22 7.34365704e+21 2.71563671e+21 9.71169165e+20 3.41171306e+20 1.19172469e+20 4.17638805e+19 1.47793268e+19 5.30486731e+18 1.93658435e+18 7.19773779e+17 2.72225763e+17 1.04574936e+17 4.06882693e+16 1.59825750e+16 6.31832063e+15 2.50731455e+15 9.96938558e+14 3.96733735e+14 1.57928781e+14 6.28722350e+13 2.50300924e+13 9.96473099e+12 3.96705002e+12 1.57931602e+12 6.28738364e+11 2.50305630e+11 9.96485914e+10 3.96708699e+10 1.57932826e+10 6.28743297e+09 2.50308046e+09 9.96499419e+08 3.96716774e+08 1.57937812e+08 6.28774473e+07 2.50327645e+07 9.96622900e+06 3.96794630e+06 1.57986916e+06 6.29084200e+05 2.50522996e+05 9.97854843e+04 3.97571381e+04 1.58476512e+04 6.32168962e+03 2.52465575e+03 1.01008002e+03 4.05259447e+02 1.63308181e+02 6.62528281e+01 2.71562708e+01 1.13071196e+01 4.82281644e+00 2.13652860e+00 1.00689698e+00 5.25904614e-01 3.22347804e-01 2.42566032e-01 2.21968994e-01 2.33001799e-01 2.63819482e-01 3.09346090e-01 3.67354350e-01 4.36593022e-01 5.15758122e-01 7.61827533e+25 5.56037260e+25 4.02699194e+25 2.88956523e+25 2.05028039e+25 1.43489252e+25 9.87183563e+24 6.64702685e+24 4.35482595e+24 2.75495063e+24 1.66665573e+24 9.53042052e+23 5.08715911e+23 2.50744706e+23 1.13521910e+23 4.73724598e+22 1.84464325e+22 6.82137099e+21 2.43946665e+21 8.56983574e+20 2.99347708e+20 1.04906125e+20 3.71239904e+19 1.33252242e+19 4.86447995e+18 1.80798999e+18 6.83800200e+17 2.62680363e+17 1.02204312e+17 4.01464133e+16 1.58709038e+16 6.29808938e+15 2.50419642e+15 9.96550079e+14 3.96699157e+14 1.57927911e+14 6.28727474e+13 2.50302713e+13 9.96477831e+12 3.96706197e+12 1.57931905e+12 6.28739114e+11 2.50305817e+11 9.96486396e+10 3.96708818e+10 1.57932856e+10 6.28743369e+09 2.50308066e+09 9.96499463e+08 3.96716787e+08 1.57937815e+08 6.28774478e+07 2.50327649e+07 9.96622899e+06 3.96794632e+06 1.57986917e+06 6.29084200e+05 2.50522997e+05 9.97854853e+04 3.97571376e+04 1.58476511e+04 6.32168959e+03 2.52465577e+03 1.01008003e+03 4.05259448e+02 1.63308182e+02 6.62528274e+01 2.71562708e+01 1.13071194e+01 4.82281649e+00 2.13652863e+00 1.00689697e+00 5.25904611e-01 3.22347804e-01 2.42566030e-01 2.21968997e-01 2.33001799e-01 2.63819480e-01 3.09346091e-01 3.67354349e-01 4.36593019e-01 1.91362424e+26 1.39670245e+26 1.01153464e+26 7.25825970e+25 5.15007149e+25 3.60428704e+25 2.47969300e+25 1.66965766e+25 1.09388282e+25 6.92012311e+24 4.18644991e+24 2.39393340e+24 1.27783659e+24 6.29842225e+23 2.85154145e+23 1.18994239e+23 4.63353434e+22 1.71345092e+22 6.12766317e+21 2.15264541e+21 7.51927445e+20 2.63512271e+20 9.32512479e+19 3.34714499e+19 1.22190212e+19 4.54146552e+18 1.71762844e+18 6.59823239e+17 2.56725623e+17 1.00843231e+17 3.98659079e+16 1.58200852e+16 6.29025700e+15 2.50322061e+15 9.96463221e+14 3.96696971e+14 1.57929198e+14 6.28731968e+13 2.50303902e+13 9.96480834e+12 3.96706958e+12 1.57932093e+12 6.28739585e+11 2.50305939e+11 9.96486695e+10 3.96708893e+10 1.57932875e+10 6.28743421e+09 2.50308077e+09 9.96499497e+08 3.96716795e+08 1.57937816e+08 6.28774488e+07 2.50327649e+07 9.96622903e+06 3.96794633e+06 1.57986917e+06 6.29084202e+05 2.50523000e+05 9.97854842e+04 3.97571376e+04 1.58476511e+04 6.32168965e+03 2.52465578e+03 1.01008003e+03 4.05259451e+02 1.63308180e+02 6.62528275e+01 2.71562704e+01 1.13071196e+01 4.82281654e+00 2.13652861e+00 1.00689697e+00 5.25904611e-01 3.22347802e-01 2.42566033e-01 2.21968997e-01 2.33001798e-01 2.63819481e-01 3.09346090e-01 3.67354347e-01 4.80680677e+26 3.50835793e+26 2.54086014e+26 1.82319241e+26 1.29363947e+26 9.05355971e+25 6.22870720e+25 4.19399041e+25 2.74770942e+25 1.73825634e+25 1.05158867e+25 6.01328882e+24 3.20978040e+24 1.58209214e+24 7.16274828e+23 2.98900015e+23 1.16389120e+23 4.30399413e+22 1.53919940e+22 5.40720080e+21 1.88875635e+21 6.61912898e+20 2.34236544e+20 8.40764809e+19 3.06927935e+19 1.14076456e+19 4.31448758e+18 1.65740104e+18 6.44865610e+17 2.53306743e+17 1.00138633e+17 3.97382574e+16 1.58004112e+16 6.28780586e+15 2.50300243e+15 9.96457732e+14 3.96700204e+14 1.57930327e+14 6.28734954e+13 2.50304656e+13 9.96482745e+12 3.96707431e+12 1.57932211e+12 6.28739889e+11 2.50306014e+11 9.96486884e+10 3.96708939e+10 1.57932888e+10 6.28743449e+09 2.50308086e+09 9.96499517e+08 3.96716798e+08 1.57937819e+08 6.28774487e+07 2.50327650e+07 9.96622906e+06 3.96794633e+06 1.57986917e+06 6.29084208e+05 2.50522997e+05 9.97854840e+04 3.97571374e+04 1.58476512e+04 6.32168966e+03 2.52465578e+03 1.01008003e+03 4.05259447e+02 1.63308180e+02 6.62528264e+01 2.71562707e+01 1.13071197e+01 4.82281651e+00 2.13652860e+00 1.00689697e+00 5.25904609e-01 3.22347806e-01 2.42566033e-01 2.21968996e-01 2.33001798e-01 2.63819481e-01 3.09346088e-01 1.20741527e+27 8.81259668e+26 6.38235212e+26 4.57965227e+26 3.24947543e+26 2.27415138e+26 1.56458051e+26 1.05348276e+26 6.90193400e+25 4.36630250e+25 2.64147132e+25 1.51046986e+25 8.06260384e+24 3.97403578e+24 1.79920102e+24 7.50802891e+23 2.92356252e+23 1.08111445e+23 3.86629408e+22 1.35822743e+22 4.74434144e+21 1.66265003e+21 5.88375597e+20 2.11190572e+20 7.70968116e+19 2.86547103e+19 1.08375028e+19 4.16320318e+18 1.61982918e+18 6.36277771e+17 2.51536874e+17 9.98179894e+16 3.96888384e+16 1.57942542e+16 6.28725783e+15 2.50298864e+15 9.96465853e+14 3.96703040e+14 1.57931077e+14 6.28736849e+13 2.50305136e+13 9.96483933e+12 3.96707728e+12 1.57932288e+12 6.28740078e+11 2.50306061e+11 9.96486999e+10 3.96708971e+10 1.57932895e+10 6.28743470e+09 2.50308091e+09 9.96499524e+08 3.96716804e+08 1.57937818e+08 6.28774490e+07 2.50327651e+07 9.96622905e+06 3.96794634e+06 1.57986919e+06 6.29084202e+05 2.50522996e+05 9.97854835e+04 3.97571378e+04 1.58476512e+04 6.32168967e+03 2.52465580e+03 1.01008002e+03 4.05259447e+02 1.63308178e+02 6.62528272e+01 2.71562710e+01 1.13071196e+01 4.82281649e+00 2.13652860e+00 1.00689696e+00 5.25904615e-01 3.22347806e-01 2.42566032e-01 2.21968996e-01 2.33001798e-01 2.63819479e-01 3.03289004e+27 2.21362420e+27 1.60317437e+27 1.15035664e+27 8.16231325e+26 5.71240999e+26 3.93004855e+26 2.64622905e+26 1.73368744e+26 1.09676560e+26 6.63507596e+25 3.79412875e+25 2.02523452e+25 9.98232655e+24 4.51938863e+24 1.88593159e+24 7.34365704e+23 2.71563671e+23 9.71169165e+22 3.41171306e+22 1.19172469e+22 4.17638805e+21 1.47793268e+21 5.30486731e+20 1.93658435e+20 7.19773779e+19 2.72225763e+19 1.04574936e+19 4.06882693e+18 1.59825750e+18 6.31832060e+17 2.50731453e+17 9.96938545e+16 3.96733728e+16 1.57928776e+16 6.28722319e+15 2.50300904e+15 9.96472976e+14 3.96704924e+14 1.57931553e+14 6.28738054e+13 2.50305434e+13 9.96484680e+12 3.96707920e+12 1.57932335e+12 6.28740198e+11 2.50306090e+11 9.96487081e+10 3.96708989e+10 1.57932900e+10 6.28743483e+09 2.50308093e+09 9.96499540e+08 3.96716804e+08 1.57937819e+08 6.28774491e+07 2.50327651e+07 9.96622908e+06 3.96794638e+06 1.57986917e+06 6.29084200e+05 2.50522995e+05 9.97854846e+04 3.97571378e+04 1.58476513e+04 6.32168972e+03 2.52465577e+03 1.01008002e+03 4.05259440e+02 1.63308180e+02 6.62528279e+01 2.71562709e+01 1.13071196e+01 4.82281649e+00 2.13652859e+00 1.00689697e+00 5.25904615e-01 3.22347804e-01 2.42566032e-01 2.21968996e-01 2.33001796e-01 # # uncertainties in the thermally averaged relativistic Gaunt factors 4.4347e-04 3.1228e-04 2.9282e-04 2.1301e-04 1.7477e-04 1.4466e-04 1.0957e-04 8.4270e-05 6.3779e-05 5.2764e-05 4.2071e-05 3.3649e-05 2.6470e-05 2.1139e-05 1.8078e-05 1.6392e-05 1.5521e-05 1.5309e-05 1.5471e-05 1.4601e-05 1.4820e-05 1.4970e-05 1.4895e-05 1.6073e-05 1.5699e-05 1.5612e-05 1.5538e-05 1.5517e-05 1.5502e-05 1.5480e-05 1.5474e-05 1.5467e-05 1.5461e-05 1.5467e-05 1.5469e-05 1.5476e-05 1.5463e-05 1.5452e-05 1.5452e-05 1.5462e-05 1.5474e-05 1.5466e-05 1.5464e-05 1.5455e-05 1.5458e-05 1.5460e-05 1.5457e-05 1.5465e-05 1.5461e-05 1.5459e-05 1.5461e-05 1.5456e-05 1.5458e-05 1.5469e-05 1.5462e-05 1.5459e-05 1.5459e-05 1.5462e-05 1.5469e-05 1.5466e-05 1.5462e-05 1.5459e-05 1.5464e-05 1.5467e-05 1.5460e-05 1.5472e-05 1.5468e-05 1.5466e-05 1.5445e-05 1.5460e-05 1.5466e-05 1.5470e-05 1.5464e-05 1.5451e-05 1.5453e-05 1.5469e-05 1.5466e-05 1.5465e-05 1.5467e-05 1.5462e-05 1.5459e-05 4.2947e-04 3.4581e-04 2.8247e-04 2.2357e-04 1.5974e-04 1.3570e-04 9.1517e-05 7.9083e-05 6.0459e-05 5.2182e-05 4.1086e-05 2.9376e-05 2.6322e-05 2.3004e-05 1.8271e-05 1.7885e-05 1.5479e-05 1.5071e-05 1.4625e-05 1.5931e-05 1.4814e-05 1.4944e-05 1.5030e-05 1.4817e-05 1.4686e-05 1.4620e-05 1.5162e-05 1.5136e-05 1.5117e-05 1.5094e-05 1.5087e-05 1.5078e-05 1.5072e-05 1.5078e-05 1.5079e-05 1.5086e-05 1.5073e-05 1.5062e-05 1.5062e-05 1.5072e-05 1.5084e-05 1.5076e-05 1.5074e-05 1.5065e-05 1.5068e-05 1.5070e-05 1.5067e-05 1.5075e-05 1.5071e-05 1.5069e-05 1.5071e-05 1.5066e-05 1.5068e-05 1.5079e-05 1.5072e-05 1.5069e-05 1.5069e-05 1.5072e-05 1.5079e-05 1.5075e-05 1.5072e-05 1.5069e-05 1.5074e-05 1.5076e-05 1.5070e-05 1.5082e-05 1.5078e-05 1.5076e-05 1.5055e-05 1.5070e-05 1.5076e-05 1.5080e-05 1.5074e-05 1.5060e-05 1.5063e-05 1.5079e-05 1.5076e-05 1.5075e-05 1.5076e-05 1.5072e-05 1.5069e-05 4.3193e-04 3.5512e-04 2.6998e-04 2.0252e-04 1.6358e-04 1.3463e-04 1.0535e-04 8.4615e-05 6.2015e-05 5.1170e-05 3.9017e-05 3.4577e-05 2.3079e-05 2.1292e-05 1.9919e-05 1.6159e-05 1.5208e-05 1.6165e-05 1.5399e-05 1.5214e-05 1.4527e-05 1.5544e-05 1.4795e-05 1.4627e-05 1.4524e-05 1.4475e-05 1.4424e-05 1.4418e-05 1.4962e-05 1.4940e-05 1.4934e-05 1.4926e-05 1.4920e-05 1.4927e-05 1.4928e-05 1.4935e-05 1.4922e-05 1.4911e-05 1.4911e-05 1.4921e-05 1.4933e-05 1.4926e-05 1.4923e-05 1.4915e-05 1.4917e-05 1.4919e-05 1.4916e-05 1.4925e-05 1.4920e-05 1.4918e-05 1.4921e-05 1.4915e-05 1.4918e-05 1.4928e-05 1.4921e-05 1.4918e-05 1.4919e-05 1.4921e-05 1.4928e-05 1.4925e-05 1.4922e-05 1.4918e-05 1.4923e-05 1.4926e-05 1.4919e-05 1.4931e-05 1.4927e-05 1.4925e-05 1.4904e-05 1.4919e-05 1.4925e-05 1.4929e-05 1.4923e-05 1.4910e-05 1.4912e-05 1.4928e-05 1.4925e-05 1.4924e-05 1.4926e-05 1.4921e-05 1.4918e-05 4.4690e-04 3.4790e-04 2.5963e-04 2.1739e-04 1.6886e-04 1.2418e-04 9.6436e-05 7.8276e-05 6.7770e-05 4.9435e-05 4.1390e-05 3.1785e-05 2.6743e-05 1.9449e-05 1.9451e-05 1.5571e-05 1.4644e-05 1.4197e-05 1.4834e-05 1.5334e-05 1.5502e-05 1.4932e-05 1.4069e-05 1.3847e-05 1.3710e-05 1.3640e-05 1.3575e-05 1.5015e-05 1.4995e-05 1.4971e-05 1.4963e-05 1.4955e-05 1.4948e-05 1.4954e-05 1.4955e-05 1.4961e-05 1.4949e-05 1.4938e-05 1.4938e-05 1.4948e-05 1.4960e-05 1.4952e-05 1.4950e-05 1.4941e-05 1.4944e-05 1.4946e-05 1.4943e-05 1.4951e-05 1.4947e-05 1.4945e-05 1.4947e-05 1.4942e-05 1.4944e-05 1.4955e-05 1.4948e-05 1.4945e-05 1.4945e-05 1.4947e-05 1.4955e-05 1.4951e-05 1.4948e-05 1.4945e-05 1.4949e-05 1.4952e-05 1.4946e-05 1.4957e-05 1.4954e-05 1.4952e-05 1.4931e-05 1.4946e-05 1.4952e-05 1.4956e-05 1.4950e-05 1.4937e-05 1.4939e-05 1.4955e-05 1.4952e-05 1.4951e-05 1.4952e-05 1.4947e-05 1.4945e-05 4.5669e-04 3.0236e-04 2.7626e-04 2.1265e-04 1.7346e-04 1.2557e-04 1.0873e-04 8.1109e-05 6.5182e-05 5.0719e-05 3.4090e-05 3.0742e-05 2.3930e-05 2.0992e-05 1.6364e-05 1.5188e-05 1.5306e-05 1.5256e-05 1.4097e-05 1.3144e-05 1.4858e-05 1.5292e-05 1.4975e-05 1.5337e-05 1.5172e-05 1.5084e-05 1.5295e-05 1.5278e-05 1.5265e-05 1.5246e-05 1.5241e-05 1.5234e-05 1.5229e-05 1.5235e-05 1.5236e-05 1.5243e-05 1.5231e-05 1.5221e-05 1.5221e-05 1.5230e-05 1.5242e-05 1.5235e-05 1.5232e-05 1.5224e-05 1.5227e-05 1.5229e-05 1.5226e-05 1.5234e-05 1.5229e-05 1.5228e-05 1.5230e-05 1.5225e-05 1.5227e-05 1.5237e-05 1.5230e-05 1.5228e-05 1.5228e-05 1.5230e-05 1.5237e-05 1.5234e-05 1.5231e-05 1.5228e-05 1.5232e-05 1.5235e-05 1.5229e-05 1.5239e-05 1.5236e-05 1.5234e-05 1.5215e-05 1.5228e-05 1.5234e-05 1.5238e-05 1.5233e-05 1.5220e-05 1.5222e-05 1.5237e-05 1.5234e-05 1.5234e-05 1.5235e-05 1.5230e-05 1.5228e-05 4.4258e-04 3.3873e-04 2.6679e-04 2.0476e-04 1.6537e-04 1.2866e-04 1.0282e-04 7.7174e-05 5.8876e-05 5.2097e-05 3.8020e-05 3.0703e-05 2.7258e-05 2.0521e-05 1.6363e-05 1.5963e-05 1.5395e-05 1.3693e-05 1.4787e-05 1.4664e-05 1.4838e-05 1.3654e-05 1.3713e-05 1.4002e-05 1.3897e-05 1.3844e-05 1.4215e-05 1.4205e-05 1.4196e-05 1.4179e-05 1.4176e-05 1.4170e-05 1.4166e-05 1.4172e-05 1.4174e-05 1.4181e-05 1.4169e-05 1.4159e-05 1.4158e-05 1.4168e-05 1.4180e-05 1.4173e-05 1.4170e-05 1.4162e-05 1.4164e-05 1.4166e-05 1.4164e-05 1.4172e-05 1.4167e-05 1.4166e-05 1.4168e-05 1.4163e-05 1.4165e-05 1.4175e-05 1.4168e-05 1.4166e-05 1.4166e-05 1.4168e-05 1.4175e-05 1.4172e-05 1.4169e-05 1.4165e-05 1.4170e-05 1.4173e-05 1.4166e-05 1.4178e-05 1.4174e-05 1.4172e-05 1.4152e-05 1.4166e-05 1.4172e-05 1.4176e-05 1.4170e-05 1.4157e-05 1.4160e-05 1.4175e-05 1.4172e-05 1.4171e-05 1.4173e-05 1.4168e-05 1.4165e-05 3.9919e-04 3.5256e-04 2.4350e-04 2.0444e-04 1.5633e-04 1.2711e-04 9.6446e-05 8.1812e-05 6.1762e-05 5.2896e-05 3.7120e-05 2.6505e-05 2.2963e-05 2.0275e-05 1.7639e-05 1.5766e-05 1.5135e-05 1.5538e-05 1.4100e-05 1.5217e-05 1.4086e-05 1.4478e-05 1.4141e-05 1.3567e-05 1.4812e-05 1.4710e-05 1.4628e-05 1.4601e-05 1.4581e-05 1.4558e-05 1.4551e-05 1.4542e-05 1.4536e-05 1.4542e-05 1.4542e-05 1.4549e-05 1.4537e-05 1.4527e-05 1.4527e-05 1.4536e-05 1.4547e-05 1.4540e-05 1.4537e-05 1.4530e-05 1.4532e-05 1.4534e-05 1.4531e-05 1.4539e-05 1.4535e-05 1.4533e-05 1.4535e-05 1.4531e-05 1.4532e-05 1.4542e-05 1.4536e-05 1.4533e-05 1.4533e-05 1.4535e-05 1.4542e-05 1.4539e-05 1.4536e-05 1.4533e-05 1.4537e-05 1.4540e-05 1.4534e-05 1.4545e-05 1.4542e-05 1.4540e-05 1.4520e-05 1.4534e-05 1.4540e-05 1.4543e-05 1.4538e-05 1.4525e-05 1.4528e-05 1.4542e-05 1.4539e-05 1.4539e-05 1.4540e-05 1.4535e-05 1.4533e-05 4.2283e-04 3.4101e-04 2.6288e-04 2.0494e-04 1.5834e-04 1.2826e-04 9.6978e-05 7.6904e-05 6.1950e-05 4.4203e-05 3.9989e-05 3.1949e-05 2.4124e-05 1.7982e-05 1.6778e-05 1.5082e-05 1.5145e-05 1.3849e-05 1.3863e-05 1.4619e-05 1.3874e-05 1.4083e-05 1.4627e-05 1.4334e-05 1.4158e-05 1.4065e-05 1.3989e-05 1.3965e-05 1.3948e-05 1.3926e-05 1.3920e-05 1.3912e-05 1.3906e-05 1.3912e-05 1.3913e-05 1.3919e-05 1.3907e-05 1.3897e-05 1.3897e-05 1.3906e-05 1.3918e-05 1.3910e-05 1.3908e-05 1.3900e-05 1.3902e-05 1.3904e-05 1.3902e-05 1.3909e-05 1.3905e-05 1.3904e-05 1.3906e-05 1.3901e-05 1.3903e-05 1.3913e-05 1.3906e-05 1.3904e-05 1.3904e-05 1.3906e-05 1.3913e-05 1.3909e-05 1.3907e-05 1.3903e-05 1.3908e-05 1.3910e-05 1.3904e-05 1.3915e-05 1.3912e-05 1.3910e-05 1.3890e-05 1.3904e-05 1.3910e-05 1.3914e-05 1.3908e-05 1.3896e-05 1.3898e-05 1.3913e-05 1.3910e-05 1.3909e-05 1.3910e-05 1.3906e-05 1.3903e-05 4.0212e-04 2.8584e-04 2.7146e-04 1.8718e-04 1.5290e-04 1.1493e-04 9.1962e-05 7.8872e-05 6.4182e-05 4.8190e-05 3.4382e-05 3.0227e-05 2.2082e-05 1.9944e-05 1.6483e-05 1.4497e-05 1.5587e-05 1.3784e-05 1.3677e-05 1.3946e-05 1.3812e-05 1.3645e-05 1.3400e-05 1.3259e-05 1.4531e-05 1.4425e-05 1.4342e-05 1.4312e-05 1.4291e-05 1.4267e-05 1.4259e-05 1.4250e-05 1.4244e-05 1.4249e-05 1.4250e-05 1.4256e-05 1.4244e-05 1.4235e-05 1.4234e-05 1.4243e-05 1.4254e-05 1.4247e-05 1.4245e-05 1.4237e-05 1.4239e-05 1.4241e-05 1.4239e-05 1.4246e-05 1.4242e-05 1.4241e-05 1.4243e-05 1.4238e-05 1.4240e-05 1.4250e-05 1.4243e-05 1.4241e-05 1.4241e-05 1.4243e-05 1.4249e-05 1.4246e-05 1.4244e-05 1.4240e-05 1.4245e-05 1.4247e-05 1.4241e-05 1.4252e-05 1.4249e-05 1.4247e-05 1.4228e-05 1.4241e-05 1.4247e-05 1.4250e-05 1.4245e-05 1.4233e-05 1.4235e-05 1.4250e-05 1.4247e-05 1.4246e-05 1.4247e-05 1.4243e-05 1.4240e-05 4.2890e-04 3.1479e-04 2.3698e-04 1.9301e-04 1.5735e-04 1.2000e-04 1.0477e-04 7.4248e-05 5.6579e-05 4.6877e-05 3.7237e-05 3.1917e-05 2.4575e-05 1.8217e-05 1.6584e-05 1.4040e-05 1.3798e-05 1.3588e-05 1.4035e-05 1.3644e-05 1.2775e-05 1.2236e-05 1.4523e-05 1.4046e-05 1.3896e-05 1.3817e-05 1.3750e-05 1.3730e-05 1.3716e-05 1.3697e-05 1.3692e-05 1.3685e-05 1.3680e-05 1.3685e-05 1.3686e-05 1.3693e-05 1.3681e-05 1.3671e-05 1.3671e-05 1.3680e-05 1.3691e-05 1.3684e-05 1.3682e-05 1.3674e-05 1.3676e-05 1.3678e-05 1.3676e-05 1.3683e-05 1.3679e-05 1.3678e-05 1.3680e-05 1.3675e-05 1.3677e-05 1.3687e-05 1.3680e-05 1.3678e-05 1.3678e-05 1.3680e-05 1.3687e-05 1.3683e-05 1.3681e-05 1.3678e-05 1.3682e-05 1.3684e-05 1.3678e-05 1.3689e-05 1.3686e-05 1.3684e-05 1.3665e-05 1.3678e-05 1.3684e-05 1.3688e-05 1.3682e-05 1.3670e-05 1.3672e-05 1.3687e-05 1.3684e-05 1.3683e-05 1.3684e-05 1.3680e-05 1.3677e-05 3.8631e-04 3.0982e-04 2.5438e-04 2.0836e-04 1.4290e-04 1.1717e-04 8.8281e-05 7.1463e-05 5.2170e-05 4.8096e-05 3.6674e-05 2.6121e-05 2.3554e-05 2.0952e-05 1.6244e-05 1.5605e-05 1.3775e-05 1.3517e-05 1.2966e-05 1.2804e-05 1.3943e-05 1.3681e-05 1.3819e-05 1.3642e-05 1.3865e-05 1.3795e-05 1.3725e-05 1.3703e-05 1.3688e-05 1.3668e-05 1.3662e-05 1.3655e-05 1.3649e-05 1.3655e-05 1.3655e-05 1.3662e-05 1.3650e-05 1.3641e-05 1.3641e-05 1.3649e-05 1.3660e-05 1.3653e-05 1.3651e-05 1.3644e-05 1.3646e-05 1.3648e-05 1.3645e-05 1.3652e-05 1.3648e-05 1.3647e-05 1.3649e-05 1.3644e-05 1.3646e-05 1.3656e-05 1.3649e-05 1.3647e-05 1.3647e-05 1.3649e-05 1.3656e-05 1.3653e-05 1.3650e-05 1.3647e-05 1.3651e-05 1.3653e-05 1.3648e-05 1.3658e-05 1.3655e-05 1.3653e-05 1.3635e-05 1.3648e-05 1.3653e-05 1.3657e-05 1.3651e-05 1.3640e-05 1.3642e-05 1.3656e-05 1.3653e-05 1.3652e-05 1.3653e-05 1.3649e-05 1.3647e-05 3.8883e-04 3.3712e-04 2.4189e-04 1.8182e-04 1.3501e-04 1.2070e-04 9.3596e-05 7.5442e-05 5.9701e-05 4.4962e-05 3.4736e-05 3.0671e-05 2.0439e-05 1.8128e-05 1.7583e-05 1.4292e-05 1.3676e-05 1.3261e-05 1.3640e-05 1.2221e-05 1.3307e-05 1.4244e-05 1.3871e-05 1.2862e-05 1.2764e-05 1.2842e-05 1.2783e-05 1.2769e-05 1.2759e-05 1.2741e-05 1.2737e-05 1.2731e-05 1.2727e-05 1.2733e-05 1.2734e-05 1.2741e-05 1.2729e-05 1.2719e-05 1.2719e-05 1.2728e-05 1.2740e-05 1.2732e-05 1.2730e-05 1.2722e-05 1.2724e-05 1.2727e-05 1.2724e-05 1.2731e-05 1.2727e-05 1.2726e-05 1.2728e-05 1.2723e-05 1.2725e-05 1.2735e-05 1.2728e-05 1.2726e-05 1.2726e-05 1.2728e-05 1.2735e-05 1.2732e-05 1.2729e-05 1.2726e-05 1.2730e-05 1.2732e-05 1.2726e-05 1.2737e-05 1.2734e-05 1.2732e-05 1.2713e-05 1.2726e-05 1.2732e-05 1.2736e-05 1.2730e-05 1.2718e-05 1.2720e-05 1.2735e-05 1.2732e-05 1.2731e-05 1.2732e-05 1.2728e-05 1.2725e-05 3.9966e-04 3.1244e-04 2.4006e-04 1.9507e-04 1.5253e-04 1.2196e-04 9.3466e-05 6.4167e-05 5.4102e-05 4.3500e-05 3.6802e-05 2.8104e-05 2.3623e-05 1.7931e-05 1.7242e-05 1.4298e-05 1.2887e-05 1.3662e-05 1.3136e-05 1.2985e-05 1.2602e-05 1.3523e-05 1.3173e-05 1.2973e-05 1.2851e-05 1.2787e-05 1.2730e-05 1.2716e-05 1.2706e-05 1.2688e-05 1.2684e-05 1.2678e-05 1.2674e-05 1.2680e-05 1.2681e-05 1.2687e-05 1.2676e-05 1.2667e-05 1.2666e-05 1.2675e-05 1.2686e-05 1.2679e-05 1.2677e-05 1.2670e-05 1.2672e-05 1.2674e-05 1.2671e-05 1.2678e-05 1.2674e-05 1.2673e-05 1.2675e-05 1.2670e-05 1.2672e-05 1.2682e-05 1.2675e-05 1.2673e-05 1.2673e-05 1.2675e-05 1.2682e-05 1.2679e-05 1.2676e-05 1.2673e-05 1.2677e-05 1.2679e-05 1.2674e-05 1.2684e-05 1.2681e-05 1.2679e-05 1.2660e-05 1.2673e-05 1.2679e-05 1.2683e-05 1.2677e-05 1.2665e-05 1.2667e-05 1.2682e-05 1.2679e-05 1.2678e-05 1.2679e-05 1.2675e-05 1.2673e-05 4.1670e-04 2.8147e-04 2.5380e-04 1.8546e-04 1.5519e-04 1.1239e-04 9.0422e-05 7.6010e-05 5.7995e-05 4.3524e-05 3.4356e-05 2.5378e-05 2.2274e-05 1.8198e-05 1.5606e-05 1.4016e-05 1.3035e-05 1.3265e-05 1.4118e-05 1.3203e-05 1.3078e-05 1.3398e-05 1.3125e-05 1.2937e-05 1.2824e-05 1.2766e-05 1.2713e-05 1.2702e-05 1.2693e-05 1.2677e-05 1.2674e-05 1.2668e-05 1.2664e-05 1.2670e-05 1.2671e-05 1.2678e-05 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