# # # 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) 2 # 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. # 3.10544592e+02 2.44069498e+02 1.91808117e+02 1.50732760e+02 1.18467299e+02 9.31539608e+01 7.33517074e+01 5.79595524e+01 4.61546406e+01 3.73290384e+01 3.10076399e+01 2.67512336e+01 2.40920749e+01 2.25508499e+01 2.17100144e+01 2.12675655e+01 2.10369490e+01 2.09151844e+01 2.08491271e+01 2.08121040e+01 2.07906948e+01 2.07779906e+01 2.07703020e+01 2.07655823e+01 2.07626574e+01 2.07608332e+01 2.07596906e+01 2.07589728e+01 2.07585215e+01 2.07582371e+01 2.07580579e+01 2.07579454e+01 2.07578738e+01 2.07578288e+01 2.07578005e+01 2.07577829e+01 2.07577714e+01 2.07577643e+01 2.07577598e+01 2.07577570e+01 2.07577554e+01 2.07577539e+01 2.07577532e+01 2.07577528e+01 2.07577529e+01 2.07577523e+01 2.07577522e+01 2.07577522e+01 2.07577521e+01 2.07577522e+01 2.07577522e+01 2.07577523e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577520e+01 2.07577523e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577521e+01 2.07577522e+01 2.07577520e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577523e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577519e+01 2.07577521e+01 2.07577522e+01 2.07577523e+01 3.07260542e+02 2.41460799e+02 1.89735812e+02 1.49086345e+02 1.17158853e+02 9.21133330e+01 7.25227012e+01 5.72966038e+01 4.56201579e+01 3.68913443e+01 3.06397155e+01 2.64305328e+01 2.38009733e+01 2.22769449e+01 2.14455001e+01 2.10079938e+01 2.07799465e+01 2.06595403e+01 2.05942175e+01 2.05576054e+01 2.05364360e+01 2.05238731e+01 2.05162696e+01 2.05116014e+01 2.05087089e+01 2.05069048e+01 2.05057748e+01 2.05050650e+01 2.05046187e+01 2.05043375e+01 2.05041602e+01 2.05040489e+01 2.05039781e+01 2.05039336e+01 2.05039056e+01 2.05038882e+01 2.05038769e+01 2.05038698e+01 2.05038654e+01 2.05038626e+01 2.05038610e+01 2.05038596e+01 2.05038589e+01 2.05038585e+01 2.05038586e+01 2.05038579e+01 2.05038579e+01 2.05038579e+01 2.05038578e+01 2.05038579e+01 2.05038578e+01 2.05038580e+01 2.05038576e+01 2.05038578e+01 2.05038577e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038577e+01 2.05038577e+01 2.05038577e+01 2.05038579e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038579e+01 2.05038578e+01 2.05038577e+01 2.05038576e+01 2.05038576e+01 2.05038578e+01 2.05038579e+01 2.05038580e+01 3.03976566e+02 2.38852152e+02 1.87663491e+02 1.47439893e+02 1.15850374e+02 9.10727248e+01 7.16937022e+01 5.66336544e+01 4.50856705e+01 3.64536568e+01 3.02718029e+01 2.61098232e+01 2.35098761e+01 2.20030410e+01 2.11809850e+01 2.07484191e+01 2.05229485e+01 2.04038959e+01 2.03393063e+01 2.03031069e+01 2.02821749e+01 2.02697527e+01 2.02622343e+01 2.02576190e+01 2.02547588e+01 2.02529736e+01 2.02518562e+01 2.02511544e+01 2.02507130e+01 2.02504349e+01 2.02502596e+01 2.02501496e+01 2.02500796e+01 2.02500356e+01 2.02500079e+01 2.02499907e+01 2.02499795e+01 2.02499726e+01 2.02499682e+01 2.02499654e+01 2.02499638e+01 2.02499624e+01 2.02499617e+01 2.02499613e+01 2.02499614e+01 2.02499608e+01 2.02499608e+01 2.02499608e+01 2.02499606e+01 2.02499607e+01 2.02499607e+01 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2.03640244e-01 2.47226126e-01 2.99898054e-01 3.62098173e-01 4.33891965e-01 5.14646989e-01 6.02707833e-01 6.95134835e-01 7.87635586e-01 1.81676035e+24 1.28885615e+24 9.01800580e+23 6.20225696e+23 4.17426751e+23 2.73295904e+23 1.72721338e+23 1.04336627e+23 5.95318647e+22 3.16745576e+22 1.55397738e+22 6.98947744e+21 2.89054452e+21 1.11204176e+21 4.04763926e+20 1.41838648e+20 4.85701219e+19 1.64400460e+19 5.54723948e+18 1.87776765e+18 6.40817825e+17 2.21347862e+17 7.76331488e+16 2.77128302e+16 1.00828460e+16 3.73985237e+15 1.41270008e+15 5.42281163e+14 2.10897739e+14 8.28196122e+13 3.27354540e+13 1.29892314e+13 5.16437007e+12 2.05509674e+12 8.18058906e+11 3.25668732e+11 1.29650988e+11 5.16150901e+10 2.05483780e+10 8.18047324e+09 3.25671325e+09 1.29652544e+09 5.16158805e+08 2.05488208e+08 8.18073848e+07 3.25687686e+07 1.29662780e+07 5.16223160e+06 2.05528749e+06 8.18329452e+05 3.25848896e+05 1.29764452e+05 5.16864311e+04 2.05932998e+04 8.20877485e+03 3.27454327e+03 1.30775453e+03 5.23226922e+02 2.09934379e+02 8.46026025e+01 3.43257678e+01 1.40718057e+01 5.86051051e+00 2.50068170e+00 1.10859023e+00 5.23113433e-01 2.73834825e-01 1.68451072e-01 1.27398638e-01 1.17317491e-01 1.24115535e-01 1.41948923e-01 1.68628852e-01 2.03640246e-01 2.47226124e-01 2.99898053e-01 3.62098171e-01 4.33891965e-01 5.14646995e-01 6.02707836e-01 6.95134839e-01 4.56349566e+24 3.23746027e+24 2.26522064e+24 1.55793651e+24 1.04852859e+24 6.86488272e+23 4.33856385e+23 2.62081758e+23 1.49537283e+23 7.95628914e+22 3.90341471e+22 1.75567735e+22 7.26071955e+21 2.79332261e+21 1.01672101e+21 3.56282576e+20 1.22002630e+20 4.12955286e+19 1.39340356e+19 4.71673907e+18 1.60966160e+18 5.56000691e+17 1.95005653e+17 6.96114820e+16 2.53269639e+16 9.39408440e+15 3.54854216e+15 1.36214869e+15 5.29751165e+14 2.08033457e+14 8.22277410e+13 3.26274730e+13 1.29723104e+13 5.16216920e+12 2.05487080e+12 8.18042704e+11 3.25668454e+11 1.29651178e+11 5.16151501e+10 2.05483934e+10 8.18047721e+09 3.25671418e+09 1.29652569e+09 5.16158869e+08 2.05488227e+08 8.18073869e+07 3.25687698e+07 1.29662783e+07 5.16223163e+06 2.05528752e+06 8.18329454e+05 3.25848900e+05 1.29764450e+05 5.16864316e+04 2.05932997e+04 8.20877487e+03 3.27454327e+03 1.30775453e+03 5.23226925e+02 2.09934378e+02 8.46026026e+01 3.43257682e+01 1.40718056e+01 5.86051049e+00 2.50068168e+00 1.10859024e+00 5.23113433e-01 2.73834826e-01 1.68451071e-01 1.27398638e-01 1.17317491e-01 1.24115534e-01 1.41948924e-01 1.68628854e-01 2.03640244e-01 2.47226122e-01 2.99898052e-01 3.62098171e-01 4.33891970e-01 5.14646997e-01 6.02707838e-01 1.14629828e+25 8.13213252e+24 5.68997699e+24 3.91335958e+24 2.63378475e+24 1.72438058e+24 1.08979797e+24 6.58319612e+23 3.75620673e+23 1.99852947e+23 9.80493444e+22 4.41006212e+22 1.82381029e+22 7.01650917e+21 2.55388772e+21 8.94941369e+20 3.06456752e+20 1.03729678e+20 3.50007149e+19 1.18479129e+19 4.04328713e+18 1.39661059e+18 4.89832054e+17 1.74856137e+17 6.36184570e+16 2.35968731e+16 8.91353487e+15 3.42156280e+15 1.33067476e+15 5.22556415e+14 2.06546744e+14 8.19565050e+13 3.25849695e+13 1.29667821e+13 5.16160167e+12 2.05483011e+12 8.18042004e+11 3.25668931e+11 1.29651329e+11 5.16151889e+10 2.05484034e+10 8.18047955e+09 3.25671480e+09 1.29652585e+09 5.16158916e+08 2.05488232e+08 8.18073897e+07 3.25687705e+07 1.29662784e+07 5.16223171e+06 2.05528753e+06 8.18329463e+05 3.25848894e+05 1.29764451e+05 5.16864315e+04 2.05932998e+04 8.20877487e+03 3.27454325e+03 1.30775454e+03 5.23226924e+02 2.09934378e+02 8.46026035e+01 3.43257679e+01 1.40718055e+01 5.86051046e+00 2.50068171e+00 1.10859024e+00 5.23113434e-01 2.73834824e-01 1.68451072e-01 1.27398638e-01 1.17317490e-01 1.24115535e-01 1.41948925e-01 1.68628852e-01 2.03640243e-01 2.47226121e-01 2.99898051e-01 3.62098175e-01 4.33891972e-01 5.14647000e-01 2.87937111e+25 2.04269933e+25 1.42925760e+25 9.82991483e+24 6.61576817e+24 4.33144817e+24 2.73744873e+24 1.65362410e+24 9.43516471e+23 5.02007907e+23 2.46288818e+23 1.10775752e+23 4.58120433e+22 1.76246742e+22 6.41507590e+21 2.24799108e+21 7.69784556e+20 2.60557171e+20 8.79178209e+19 2.97606116e+19 1.01562781e+19 3.50812719e+18 1.23040249e+18 4.39218758e+17 1.59802339e+17 5.92726654e+16 2.23897873e+16 8.59457715e+15 3.34250385e+15 1.31260236e+15 5.18821960e+14 2.05865430e+14 8.18497412e+13 3.25710830e+13 1.29653565e+13 5.16149944e+12 2.05482835e+12 8.18043202e+11 3.25669309e+11 1.29651426e+11 5.16152139e+10 2.05484093e+10 8.18048109e+09 3.25671520e+09 1.29652596e+09 5.16158929e+08 2.05488239e+08 8.18073916e+07 3.25687707e+07 1.29662786e+07 5.16223172e+06 2.05528755e+06 8.18329449e+05 3.25848897e+05 1.29764451e+05 5.16864316e+04 2.05932998e+04 8.20877483e+03 3.27454327e+03 1.30775453e+03 5.23226924e+02 2.09934381e+02 8.46026027e+01 3.43257678e+01 1.40718055e+01 5.86051052e+00 2.50068171e+00 1.10859025e+00 5.23113431e-01 2.73834825e-01 1.68451072e-01 1.27398638e-01 1.17317491e-01 1.24115536e-01 1.41948924e-01 1.68628851e-01 2.03640242e-01 2.47226121e-01 2.99898055e-01 3.62098177e-01 4.33891974e-01 7.23265321e+25 5.13102874e+25 3.59013277e+25 2.46916297e+25 1.66180583e+25 1.08801059e+25 6.87616031e+24 4.15371594e+24 2.37000622e+24 1.26098685e+24 6.18649540e+23 2.78256109e+23 1.15074650e+23 4.42711799e+22 1.61139421e+22 5.64669830e+21 1.93361138e+21 6.54490022e+20 2.20839582e+20 7.47552764e+19 2.55114171e+19 8.81201709e+18 3.09063132e+18 1.10326764e+18 4.01405326e+17 1.48886204e+17 5.62406028e+16 2.15886017e+16 8.39599006e+15 3.29710805e+15 1.30322184e+15 5.17110577e+14 2.05597252e+14 8.18148597e+13 3.25675021e+13 1.29650998e+13 5.16149502e+12 2.05483136e+12 8.18044153e+11 3.25669554e+11 1.29651489e+11 5.16152287e+10 2.05484131e+10 8.18048210e+09 3.25671549e+09 1.29652600e+09 5.16158947e+08 2.05488244e+08 8.18073921e+07 3.25687712e+07 1.29662786e+07 5.16223178e+06 2.05528751e+06 8.18329457e+05 3.25848897e+05 1.29764452e+05 5.16864316e+04 2.05932997e+04 8.20877488e+03 3.27454327e+03 1.30775453e+03 5.23226930e+02 2.09934379e+02 8.46026024e+01 3.43257676e+01 1.40718056e+01 5.86051052e+00 2.50068172e+00 1.10859024e+00 5.23113433e-01 2.73834825e-01 1.68451071e-01 1.27398638e-01 1.17317492e-01 1.24115535e-01 1.41948923e-01 1.68628851e-01 2.03640242e-01 2.47226124e-01 2.99898056e-01 3.62098179e-01 1.81676035e+26 1.28885615e+26 9.01800580e+25 6.20225696e+25 4.17426751e+25 2.73295904e+25 1.72721338e+25 1.04336627e+25 5.95318647e+24 3.16745576e+24 1.55397738e+24 6.98947744e+23 2.89054452e+23 1.11204176e+23 4.04763926e+22 1.41838648e+22 4.85701219e+21 1.64400460e+21 5.54723948e+20 1.87776764e+20 6.40817825e+19 2.21347862e+19 7.76331487e+18 2.77128301e+18 1.00828459e+18 3.73985235e+17 1.41270007e+17 5.42281157e+16 2.10897735e+16 8.28196096e+15 3.27354524e+15 1.29892303e+15 5.16436943e+14 2.05509633e+14 8.18058651e+13 3.25668571e+13 1.29650887e+13 5.16150258e+12 2.05483375e+12 8.18044768e+11 3.25669712e+11 1.29651526e+11 5.16152384e+10 2.05484157e+10 8.18048285e+09 3.25671558e+09 1.29652604e+09 5.16158959e+08 2.05488245e+08 8.18073933e+07 3.25687713e+07 1.29662788e+07 5.16223169e+06 2.05528753e+06 8.18329455e+05 3.25848898e+05 1.29764451e+05 5.16864314e+04 2.05932998e+04 8.20877487e+03 3.27454327e+03 1.30775455e+03 5.23226925e+02 2.09934378e+02 8.46026020e+01 3.43257679e+01 1.40718056e+01 5.86051054e+00 2.50068170e+00 1.10859024e+00 5.23113433e-01 2.73834824e-01 1.68451072e-01 1.27398639e-01 1.17317491e-01 1.24115535e-01 1.41948923e-01 1.68628851e-01 2.03640244e-01 2.47226125e-01 2.99898058e-01 4.56349566e+26 3.23746027e+26 2.26522064e+26 1.55793651e+26 1.04852859e+26 6.86488272e+25 4.33856385e+25 2.62081758e+25 1.49537283e+25 7.95628914e+24 3.90341471e+24 1.75567735e+24 7.26071955e+23 2.79332261e+23 1.01672101e+23 3.56282576e+22 1.22002630e+22 4.12955286e+21 1.39340356e+21 4.71673907e+20 1.60966160e+20 5.56000690e+19 1.95005653e+19 6.96114819e+18 2.53269639e+18 9.39408437e+17 3.54854214e+17 1.36214868e+17 5.29751158e+16 2.08033453e+16 8.22277385e+15 3.26274714e+15 1.29723094e+15 5.16216856e+14 2.05487040e+14 8.18042449e+13 3.25668292e+13 1.29651076e+13 5.16150859e+12 2.05483529e+12 8.18045164e+11 3.25669805e+11 1.29651551e+11 5.16152448e+10 2.05484175e+10 8.18048306e+09 3.25671569e+09 1.29652607e+09 5.16158963e+08 2.05488248e+08 8.18073936e+07 3.25687717e+07 1.29662785e+07 5.16223174e+06 2.05528753e+06 8.18329458e+05 3.25848897e+05 1.29764451e+05 5.16864317e+04 2.05932997e+04 8.20877487e+03 3.27454330e+03 1.30775454e+03 5.23226923e+02 2.09934377e+02 8.46026028e+01 3.43257680e+01 1.40718056e+01 5.86051050e+00 2.50068171e+00 1.10859024e+00 5.23113430e-01 2.73834825e-01 1.68451073e-01 1.27398638e-01 1.17317490e-01 1.24115534e-01 1.41948922e-01 1.68628853e-01 2.03640245e-01 2.47226126e-01 1.14629828e+27 8.13213252e+26 5.68997699e+26 3.91335958e+26 2.63378475e+26 1.72438058e+26 1.08979797e+26 6.58319612e+25 3.75620673e+25 1.99852947e+25 9.80493444e+24 4.41006212e+24 1.82381029e+24 7.01650917e+23 2.55388772e+23 8.94941369e+22 3.06456752e+22 1.03729678e+22 3.50007149e+21 1.18479129e+21 4.04328713e+20 1.39661059e+20 4.89832053e+19 1.74856137e+19 6.36184569e+18 2.35968731e+18 8.91353485e+17 3.42156278e+17 1.33067475e+17 5.22556408e+16 2.06546740e+16 8.19565024e+15 3.25849679e+15 1.29667811e+15 5.16160103e+14 2.05482970e+14 8.18041748e+13 3.25668769e+13 1.29651227e+13 5.16151246e+12 2.05483629e+12 8.18045398e+11 3.25669867e+11 1.29651567e+11 5.16152495e+10 2.05484181e+10 8.18048334e+09 3.25671576e+09 1.29652608e+09 5.16158970e+08 2.05488249e+08 8.18073945e+07 3.25687711e+07 1.29662787e+07 5.16223173e+06 2.05528753e+06 8.18329457e+05 3.25848896e+05 1.29764452e+05 5.16864316e+04 2.05932998e+04 8.20877496e+03 3.27454327e+03 1.30775453e+03 5.23226921e+02 2.09934379e+02 8.46026029e+01 3.43257680e+01 1.40718056e+01 5.86051052e+00 2.50068171e+00 1.10859024e+00 5.23113433e-01 2.73834828e-01 1.68451072e-01 1.27398638e-01 1.17317490e-01 1.24115534e-01 1.41948924e-01 1.68628853e-01 2.03640246e-01 # # uncertainties in the thermally averaged relativistic Gaunt factors 2.1269e-04 1.7439e-04 1.4440e-04 1.0936e-04 8.5256e-05 6.3106e-05 5.2659e-05 4.3997e-05 3.3570e-05 2.6405e-05 2.1084e-05 1.8004e-05 1.6332e-05 1.5871e-05 1.5297e-05 1.5456e-05 1.4597e-05 1.4814e-05 1.4969e-05 1.4891e-05 1.6064e-05 1.5697e-05 1.5609e-05 1.5547e-05 1.5517e-05 1.5507e-05 1.5495e-05 1.5473e-05 1.5466e-05 1.5460e-05 1.5465e-05 1.5485e-05 1.5460e-05 1.5461e-05 1.5450e-05 1.5468e-05 1.5469e-05 1.5468e-05 1.5468e-05 1.5469e-05 1.5468e-05 1.5450e-05 1.5460e-05 1.5459e-05 1.5483e-05 1.5461e-05 1.5454e-05 1.5457e-05 1.5458e-05 1.5472e-05 1.5471e-05 1.5469e-05 1.5454e-05 1.5459e-05 1.5462e-05 1.5468e-05 1.5466e-05 1.5464e-05 1.5455e-05 1.5458e-05 1.5460e-05 1.5467e-05 1.5464e-05 1.5461e-05 1.5457e-05 1.5461e-05 1.5464e-05 1.5458e-05 1.5469e-05 1.5466e-05 1.5463e-05 1.5456e-05 1.5462e-05 1.5469e-05 1.5468e-05 1.5462e-05 1.5459e-05 1.5452e-05 1.5466e-05 1.5464e-05 1.5472e-05 2.2322e-04 1.5940e-04 1.3548e-04 9.1363e-05 7.8821e-05 6.0289e-05 5.2078e-05 4.0967e-05 3.0643e-05 2.6310e-05 2.2926e-05 1.8184e-05 1.7821e-05 1.5468e-05 1.5057e-05 1.4614e-05 1.5924e-05 1.4808e-05 1.4943e-05 1.5025e-05 1.4809e-05 1.4684e-05 1.4617e-05 1.5171e-05 1.5136e-05 1.5123e-05 1.5108e-05 1.5085e-05 1.5077e-05 1.5071e-05 1.5075e-05 1.5095e-05 1.5071e-05 1.5071e-05 1.5060e-05 1.5078e-05 1.5079e-05 1.5078e-05 1.5078e-05 1.5079e-05 1.5078e-05 1.5060e-05 1.5070e-05 1.5069e-05 1.5092e-05 1.5071e-05 1.5064e-05 1.5067e-05 1.5068e-05 1.5082e-05 1.5081e-05 1.5079e-05 1.5064e-05 1.5069e-05 1.5072e-05 1.5078e-05 1.5076e-05 1.5074e-05 1.5065e-05 1.5068e-05 1.5070e-05 1.5077e-05 1.5074e-05 1.5071e-05 1.5066e-05 1.5071e-05 1.5074e-05 1.5068e-05 1.5079e-05 1.5076e-05 1.5073e-05 1.5066e-05 1.5072e-05 1.5079e-05 1.5078e-05 1.5072e-05 1.5069e-05 1.5061e-05 1.5076e-05 1.5074e-05 1.5082e-05 2.0223e-04 1.6324e-04 1.3441e-04 1.0411e-04 8.4346e-05 6.1843e-05 5.1284e-05 3.8903e-05 3.4504e-05 2.3015e-05 2.1119e-05 1.9876e-05 1.6139e-05 1.5183e-05 1.5632e-05 1.5381e-05 1.3794e-05 1.4519e-05 1.5540e-05 1.4790e-05 1.4619e-05 1.4522e-05 1.4472e-05 1.4433e-05 1.4418e-05 1.4967e-05 1.4954e-05 1.4932e-05 1.4926e-05 1.4919e-05 1.4924e-05 1.4944e-05 1.4920e-05 1.4920e-05 1.4910e-05 1.4927e-05 1.4928e-05 1.4927e-05 1.4927e-05 1.4928e-05 1.4927e-05 1.4909e-05 1.4919e-05 1.4918e-05 1.4941e-05 1.4920e-05 1.4913e-05 1.4916e-05 1.4918e-05 1.4931e-05 1.4930e-05 1.4928e-05 1.4914e-05 1.4919e-05 1.4921e-05 1.4927e-05 1.4925e-05 1.4923e-05 1.4915e-05 1.4917e-05 1.4919e-05 1.4927e-05 1.4923e-05 1.4920e-05 1.4916e-05 1.4921e-05 1.4923e-05 1.4917e-05 1.4928e-05 1.4925e-05 1.4922e-05 1.4916e-05 1.4921e-05 1.4928e-05 1.4927e-05 1.4921e-05 1.4918e-05 1.4911e-05 1.4925e-05 1.4923e-05 1.4931e-05 2.1705e-04 1.6849e-04 1.2573e-04 9.6263e-05 7.8031e-05 6.7577e-05 4.9336e-05 4.1272e-05 3.1705e-05 2.6671e-05 1.9360e-05 1.9414e-05 1.5519e-05 1.4640e-05 1.4190e-05 1.4818e-05 1.5330e-05 1.5492e-05 1.4929e-05 1.4063e-05 1.3839e-05 1.3708e-05 1.3637e-05 1.3584e-05 1.5015e-05 1.5001e-05 1.4985e-05 1.4962e-05 1.4954e-05 1.4947e-05 1.4951e-05 1.4970e-05 1.4947e-05 1.4947e-05 1.4937e-05 1.4954e-05 1.4955e-05 1.4954e-05 1.4954e-05 1.4955e-05 1.4953e-05 1.4936e-05 1.4946e-05 1.4945e-05 1.4967e-05 1.4947e-05 1.4940e-05 1.4943e-05 1.4944e-05 1.4957e-05 1.4956e-05 1.4955e-05 1.4940e-05 1.4945e-05 1.4947e-05 1.4954e-05 1.4952e-05 1.4949e-05 1.4941e-05 1.4944e-05 1.4946e-05 1.4953e-05 1.4950e-05 1.4946e-05 1.4942e-05 1.4947e-05 1.4950e-05 1.4944e-05 1.4955e-05 1.4951e-05 1.4949e-05 1.4942e-05 1.4947e-05 1.4955e-05 1.4954e-05 1.4948e-05 1.4945e-05 1.4938e-05 1.4952e-05 1.4950e-05 1.4958e-05 2.0800e-04 1.7308e-04 1.2538e-04 1.0852e-04 8.0840e-05 6.5002e-05 5.0607e-05 3.3480e-05 3.0677e-05 2.3868e-05 2.0905e-05 1.6249e-05 1.6340e-05 1.5290e-05 1.5237e-05 1.4086e-05 1.4717e-05 1.4850e-05 1.5288e-05 1.4970e-05 1.5329e-05 1.5169e-05 1.5081e-05 1.5303e-05 1.5278e-05 1.5270e-05 1.5259e-05 1.5240e-05 1.5234e-05 1.5228e-05 1.5233e-05 1.5251e-05 1.5229e-05 1.5229e-05 1.5220e-05 1.5236e-05 1.5237e-05 1.5236e-05 1.5236e-05 1.5237e-05 1.5236e-05 1.5219e-05 1.5228e-05 1.5228e-05 1.5249e-05 1.5230e-05 1.5223e-05 1.5226e-05 1.5227e-05 1.5239e-05 1.5239e-05 1.5237e-05 1.5223e-05 1.5228e-05 1.5230e-05 1.5236e-05 1.5234e-05 1.5232e-05 1.5224e-05 1.5227e-05 1.5229e-05 1.5236e-05 1.5232e-05 1.5229e-05 1.5225e-05 1.5230e-05 1.5232e-05 1.5227e-05 1.5237e-05 1.5234e-05 1.5231e-05 1.5225e-05 1.5230e-05 1.5237e-05 1.5236e-05 1.5231e-05 1.5228e-05 1.5221e-05 1.5235e-05 1.5233e-05 1.5240e-05 2.0445e-04 1.6501e-04 1.2846e-04 9.6729e-05 7.6919e-05 5.8710e-05 5.1984e-05 3.7903e-05 3.0670e-05 2.7148e-05 2.0430e-05 1.6366e-05 1.5936e-05 1.5392e-05 1.3683e-05 1.4772e-05 1.4657e-05 1.4830e-05 1.3653e-05 1.3709e-05 1.3994e-05 1.3895e-05 1.3842e-05 1.4223e-05 1.4205e-05 1.4202e-05 1.4193e-05 1.4175e-05 1.4170e-05 1.4165e-05 1.4170e-05 1.4190e-05 1.4166e-05 1.4167e-05 1.4157e-05 1.4174e-05 1.4175e-05 1.4174e-05 1.4174e-05 1.4175e-05 1.4174e-05 1.4157e-05 1.4166e-05 1.4165e-05 1.4188e-05 1.4167e-05 1.4161e-05 1.4164e-05 1.4165e-05 1.4178e-05 1.4177e-05 1.4175e-05 1.4161e-05 1.4166e-05 1.4168e-05 1.4174e-05 1.4172e-05 1.4170e-05 1.4162e-05 1.4164e-05 1.4166e-05 1.4174e-05 1.4170e-05 1.4167e-05 1.4163e-05 1.4168e-05 1.4170e-05 1.4165e-05 1.4175e-05 1.4172e-05 1.4169e-05 1.4163e-05 1.4168e-05 1.4175e-05 1.4174e-05 1.4169e-05 1.4165e-05 1.4158e-05 1.4172e-05 1.4170e-05 1.4178e-05 2.0413e-04 1.5599e-04 1.2687e-04 9.6273e-05 7.7477e-05 6.1582e-05 5.2782e-05 3.7018e-05 2.6727e-05 2.2897e-05 2.0200e-05 1.7581e-05 1.5744e-05 1.5115e-05 1.5519e-05 1.4087e-05 1.5207e-05 1.4081e-05 1.4475e-05 1.4137e-05 1.3560e-05 1.4809e-05 1.4707e-05 1.4636e-05 1.4600e-05 1.4586e-05 1.4571e-05 1.4549e-05 1.4542e-05 1.4535e-05 1.4539e-05 1.4557e-05 1.4535e-05 1.4535e-05 1.4525e-05 1.4541e-05 1.4543e-05 1.4542e-05 1.4542e-05 1.4542e-05 1.4541e-05 1.4525e-05 1.4534e-05 1.4533e-05 1.4555e-05 1.4535e-05 1.4529e-05 1.4531e-05 1.4533e-05 1.4545e-05 1.4544e-05 1.4542e-05 1.4529e-05 1.4533e-05 1.4535e-05 1.4542e-05 1.4540e-05 1.4537e-05 1.4530e-05 1.4532e-05 1.4534e-05 1.4541e-05 1.4538e-05 1.4535e-05 1.4531e-05 1.4535e-05 1.4537e-05 1.4532e-05 1.4542e-05 1.4539e-05 1.4537e-05 1.4531e-05 1.4535e-05 1.4542e-05 1.4541e-05 1.4536e-05 1.4533e-05 1.4526e-05 1.4540e-05 1.4538e-05 1.4545e-05 2.0462e-04 1.5800e-04 1.2805e-04 9.6799e-05 7.6364e-05 6.1569e-05 4.4112e-05 3.7646e-05 3.1857e-05 2.4051e-05 1.7898e-05 1.6740e-05 1.5035e-05 1.5109e-05 1.3840e-05 1.3852e-05 1.4610e-05 1.3867e-05 1.4081e-05 1.4621e-05 1.4326e-05 1.4156e-05 1.4062e-05 1.3997e-05 1.3964e-05 1.3953e-05 1.3939e-05 1.3918e-05 1.3911e-05 1.3905e-05 1.3909e-05 1.3928e-05 1.3905e-05 1.3905e-05 1.3895e-05 1.3912e-05 1.3913e-05 1.3912e-05 1.3912e-05 1.3913e-05 1.3911e-05 1.3895e-05 1.3904e-05 1.3903e-05 1.3925e-05 1.3905e-05 1.3899e-05 1.3902e-05 1.3903e-05 1.3915e-05 1.3914e-05 1.3913e-05 1.3899e-05 1.3904e-05 1.3906e-05 1.3912e-05 1.3910e-05 1.3908e-05 1.3900e-05 1.3902e-05 1.3904e-05 1.3911e-05 1.3908e-05 1.3905e-05 1.3901e-05 1.3906e-05 1.3908e-05 1.3903e-05 1.3913e-05 1.3910e-05 1.3907e-05 1.3901e-05 1.3906e-05 1.3913e-05 1.3912e-05 1.3906e-05 1.3903e-05 1.3896e-05 1.3910e-05 1.3908e-05 1.3916e-05 1.8040e-04 1.5258e-04 1.1830e-04 1.0214e-04 7.8616e-05 6.4005e-05 4.8073e-05 3.4278e-05 3.0139e-05 2.2041e-05 1.9836e-05 1.6461e-05 1.4510e-05 1.5556e-05 1.3774e-05 1.3664e-05 1.3940e-05 1.3806e-05 1.3643e-05 1.3396e-05 1.3252e-05 1.4529e-05 1.4422e-05 1.4349e-05 1.4311e-05 1.4296e-05 1.4280e-05 1.4258e-05 1.4250e-05 1.4243e-05 1.4247e-05 1.4264e-05 1.4242e-05 1.4242e-05 1.4233e-05 1.4249e-05 1.4250e-05 1.4249e-05 1.4249e-05 1.4249e-05 1.4248e-05 1.4232e-05 1.4241e-05 1.4240e-05 1.4261e-05 1.4242e-05 1.4236e-05 1.4239e-05 1.4240e-05 1.4252e-05 1.4251e-05 1.4250e-05 1.4236e-05 1.4241e-05 1.4243e-05 1.4249e-05 1.4247e-05 1.4245e-05 1.4237e-05 1.4239e-05 1.4241e-05 1.4248e-05 1.4245e-05 1.4242e-05 1.4238e-05 1.4243e-05 1.4245e-05 1.4240e-05 1.4249e-05 1.4246e-05 1.4244e-05 1.4238e-05 1.4243e-05 1.4249e-05 1.4248e-05 1.4243e-05 1.4240e-05 1.4234e-05 1.4247e-05 1.4245e-05 1.4252e-05 1.9272e-04 1.5701e-04 1.2151e-04 1.0456e-04 7.3008e-05 5.6407e-05 4.6785e-05 3.2606e-05 2.9978e-05 2.4504e-05 1.8237e-05 1.6516e-05 1.4021e-05 1.3798e-05 1.3577e-05 1.4024e-05 1.3640e-05 1.2769e-05 1.2236e-05 1.4516e-05 1.4038e-05 1.3894e-05 1.3814e-05 1.3758e-05 1.3730e-05 1.3721e-05 1.3710e-05 1.3690e-05 1.3684e-05 1.3678e-05 1.3683e-05 1.3701e-05 1.3679e-05 1.3679e-05 1.3670e-05 1.3686e-05 1.3687e-05 1.3686e-05 1.3686e-05 1.3687e-05 1.3685e-05 1.3669e-05 1.3678e-05 1.3678e-05 1.3699e-05 1.3679e-05 1.3673e-05 1.3676e-05 1.3677e-05 1.3689e-05 1.3688e-05 1.3687e-05 1.3673e-05 1.3678e-05 1.3680e-05 1.3686e-05 1.3684e-05 1.3682e-05 1.3674e-05 1.3676e-05 1.3678e-05 1.3685e-05 1.3682e-05 1.3679e-05 1.3675e-05 1.3680e-05 1.3682e-05 1.3677e-05 1.3687e-05 1.3684e-05 1.3681e-05 1.3675e-05 1.3680e-05 1.3687e-05 1.3686e-05 1.3681e-05 1.3677e-05 1.3671e-05 1.3684e-05 1.3682e-05 1.3689e-05 2.0801e-04 1.4260e-04 1.1699e-04 8.8048e-05 7.1225e-05 5.2001e-05 4.5092e-05 3.6554e-05 2.6056e-05 2.3551e-05 2.1248e-05 1.6165e-05 1.6378e-05 1.3763e-05 1.3504e-05 1.2956e-05 1.2801e-05 1.3935e-05 1.3678e-05 1.3815e-05 1.3635e-05 1.3863e-05 1.3792e-05 1.3733e-05 1.3703e-05 1.3693e-05 1.3680e-05 1.3660e-05 1.3654e-05 1.3648e-05 1.3652e-05 1.3670e-05 1.3648e-05 1.3648e-05 1.3639e-05 1.3655e-05 1.3656e-05 1.3655e-05 1.3655e-05 1.3656e-05 1.3654e-05 1.3639e-05 1.3647e-05 1.3647e-05 1.3667e-05 1.3649e-05 1.3643e-05 1.3645e-05 1.3646e-05 1.3658e-05 1.3657e-05 1.3656e-05 1.3643e-05 1.3647e-05 1.3649e-05 1.3655e-05 1.3653e-05 1.3651e-05 1.3644e-05 1.3646e-05 1.3648e-05 1.3654e-05 1.3651e-05 1.3648e-05 1.3645e-05 1.3649e-05 1.3651e-05 1.3646e-05 1.3656e-05 1.3653e-05 1.3650e-05 1.3645e-05 1.3649e-05 1.3656e-05 1.3655e-05 1.3650e-05 1.3647e-05 1.3640e-05 1.3653e-05 1.3651e-05 1.3658e-05 2.0262e-04 1.3473e-04 1.2050e-04 9.3414e-05 7.5201e-05 5.9537e-05 4.4900e-05 3.4635e-05 2.7747e-05 2.0383e-05 1.8048e-05 1.7546e-05 1.4253e-05 1.3669e-05 1.3250e-05 1.3624e-05 1.2216e-05 1.3300e-05 1.4240e-05 1.3867e-05 1.2855e-05 1.2762e-05 1.2839e-05 1.2791e-05 1.2769e-05 1.2764e-05 1.2755e-05 1.2736e-05 1.2731e-05 1.2726e-05 1.2730e-05 1.2749e-05 1.2727e-05 1.2727e-05 1.2718e-05 1.2734e-05 1.2735e-05 1.2734e-05 1.2734e-05 1.2735e-05 1.2733e-05 1.2717e-05 1.2726e-05 1.2726e-05 1.2747e-05 1.2727e-05 1.2721e-05 1.2724e-05 1.2725e-05 1.2737e-05 1.2736e-05 1.2735e-05 1.2721e-05 1.2726e-05 1.2728e-05 1.2734e-05 1.2732e-05 1.2730e-05 1.2722e-05 1.2724e-05 1.2726e-05 1.2733e-05 1.2730e-05 1.2727e-05 1.2723e-05 1.2728e-05 1.2730e-05 1.2725e-05 1.2735e-05 1.2732e-05 1.2729e-05 1.2723e-05 1.2728e-05 1.2735e-05 1.2734e-05 1.2729e-05 1.2725e-05 1.2719e-05 1.2732e-05 1.2730e-05 1.2738e-05 1.9476e-04 1.5220e-04 1.2175e-04 9.3291e-05 6.3946e-05 5.7880e-05 4.3107e-05 3.6697e-05 2.8035e-05 2.3562e-05 1.7848e-05 1.7210e-05 1.4207e-05 1.2874e-05 1.3694e-05 1.3123e-05 1.2980e-05 1.2596e-05 1.3519e-05 1.3169e-05 1.2966e-05 1.2849e-05 1.2784e-05 1.2738e-05 1.2716e-05 1.2711e-05 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