# # # 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) 23 # 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. # 3.97181935e+03 3.12492994e+03 2.45839176e+03 1.93384234e+03 1.52107086e+03 1.19628688e+03 9.40758273e+02 7.39735723e+02 5.81607545e+02 4.57232992e+02 3.59417304e+02 2.82497621e+02 2.22018250e+02 1.74474900e+02 1.37114126e+02 1.07777553e+02 8.47817363e+01 6.68273757e+01 5.29297870e+01 4.23588652e+01 3.45700295e+01 2.91135084e+01 2.55425856e+01 2.33783115e+01 2.21563720e+01 2.15012310e+01 2.11588269e+01 2.09798576e+01 2.08844645e+01 2.08320574e+01 2.08023071e+01 2.07849178e+01 2.07745099e+01 2.07681720e+01 2.07642653e+01 2.07618370e+01 2.07603197e+01 2.07593680e+01 2.07587701e+01 2.07583939e+01 2.07581568e+01 2.07580073e+01 2.07579130e+01 2.07578536e+01 2.07578162e+01 2.07577924e+01 2.07577776e+01 2.07577684e+01 2.07577622e+01 2.07577584e+01 2.07577559e+01 2.07577544e+01 2.07577537e+01 2.07577532e+01 2.07577529e+01 2.07577525e+01 2.07577523e+01 2.07577522e+01 2.07577522e+01 2.07577523e+01 2.07577521e+01 2.07577523e+01 2.07577520e+01 2.07577520e+01 2.07577521e+01 2.07577524e+01 2.07577520e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577522e+01 2.07577521e+01 2.07577521e+01 2.07577519e+01 2.07577520e+01 2.07577520e+01 2.07577523e+01 2.07577521e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 3.93405382e+03 3.09493148e+03 2.43456324e+03 1.91491495e+03 1.50603621e+03 1.18434460e+03 9.31272040e+02 7.32200409e+02 5.75622046e+02 4.52478657e+02 3.55640723e+02 2.79497692e+02 2.19635222e+02 1.72581779e+02 1.35609930e+02 1.06581874e+02 8.38303399e+01 6.60685699e+01 5.23214453e+01 4.18659262e+01 3.41627454e+01 2.87665728e+01 2.52353299e+01 2.30951718e+01 2.18868702e+01 2.12390470e+01 2.09004690e+01 2.07234930e+01 2.06291622e+01 2.05773378e+01 2.05479196e+01 2.05307231e+01 2.05204310e+01 2.05141625e+01 2.05102990e+01 2.05078976e+01 2.05063970e+01 2.05054559e+01 2.05048645e+01 2.05044925e+01 2.05042580e+01 2.05041102e+01 2.05040169e+01 2.05039582e+01 2.05039212e+01 2.05038976e+01 2.05038830e+01 2.05038739e+01 2.05038678e+01 2.05038640e+01 2.05038616e+01 2.05038601e+01 2.05038594e+01 2.05038589e+01 2.05038586e+01 2.05038582e+01 2.05038580e+01 2.05038578e+01 2.05038579e+01 2.05038580e+01 2.05038578e+01 2.05038580e+01 2.05038577e+01 2.05038577e+01 2.05038578e+01 2.05038581e+01 2.05038576e+01 2.05038577e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038578e+01 2.05038576e+01 2.05038577e+01 2.05038577e+01 2.05038580e+01 2.05038578e+01 2.05038576e+01 2.05038577e+01 2.05038577e+01 3.89628833e+03 3.06493383e+03 2.41073493e+03 1.89598726e+03 1.49100146e+03 1.17240203e+03 9.21785759e+02 7.24665221e+02 5.69636611e+02 4.47724255e+02 3.51864096e+02 2.76497780e+02 2.17252195e+02 1.70688644e+02 1.34105735e+02 1.05386186e+02 8.28789364e+01 6.53097662e+01 5.17131068e+01 4.13729888e+01 3.37554587e+01 2.84196397e+01 2.49280751e+01 2.28120313e+01 2.16173684e+01 2.09768627e+01 2.06421087e+01 2.04671289e+01 2.03738577e+01 2.03226163e+01 2.02935298e+01 2.02765260e+01 2.02663491e+01 2.02601514e+01 2.02563311e+01 2.02539566e+01 2.02524715e+01 2.02515408e+01 2.02509561e+01 2.02505882e+01 2.02503564e+01 2.02502102e+01 2.02501180e+01 2.02500599e+01 2.02500233e+01 2.02500000e+01 2.02499855e+01 2.02499765e+01 2.02499705e+01 2.02499668e+01 2.02499644e+01 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8.93327053e+02 7.02059656e+02 5.51680346e+02 4.33460997e+02 3.40534404e+02 2.67498070e+02 2.10103137e+02 1.65009264e+02 1.29593110e+02 1.01799161e+02 8.00247288e+01 6.30333533e+01 4.98880591e+01 3.98941709e+01 3.25335911e+01 2.73788497e+01 2.40062992e+01 2.19626121e+01 2.08088714e+01 2.01903126e+01 1.98670272e+01 1.96980338e+01 1.96079520e+01 1.95584577e+01 1.95303625e+01 1.95139368e+01 1.95041040e+01 1.94981169e+01 1.94944258e+01 1.94921319e+01 1.94906985e+01 1.94897995e+01 1.94892345e+01 1.94888792e+01 1.94886552e+01 1.94885139e+01 1.94884249e+01 1.94883688e+01 1.94883334e+01 1.94883109e+01 1.94882969e+01 1.94882882e+01 1.94882824e+01 1.94882788e+01 1.94882765e+01 1.94882751e+01 1.94882744e+01 1.94882739e+01 1.94882737e+01 1.94882732e+01 1.94882731e+01 1.94882729e+01 1.94882730e+01 1.94882731e+01 1.94882729e+01 1.94882731e+01 1.94882728e+01 1.94882728e+01 1.94882729e+01 1.94882731e+01 1.94882727e+01 1.94882728e+01 1.94882729e+01 1.94882727e+01 1.94882729e+01 1.94882729e+01 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3.10507415e+01 1.34062003e+01 6.05299611e+00 2.94161974e+00 1.61232505e+00 1.05296795e+00 8.38815770e-01 7.85498054e-01 8.08146076e-01 4.46882281e+25 3.37142788e+25 2.53640716e+25 1.90225576e+25 1.42167113e+25 1.05831074e+25 7.84286724e+24 5.78224809e+24 4.23764821e+24 3.08403417e+24 2.22599831e+24 1.59087378e+24 1.12342278e+24 7.81751702e+23 5.34166425e+23 3.56750332e+23 2.31495115e+23 1.44852181e+23 8.66017899e+22 4.89671880e+22 2.59359337e+22 1.27930113e+22 5.88408665e+21 2.54849991e+21 1.05607123e+21 4.25890112e+20 1.69487436e+20 6.71670403e+19 2.66303111e+19 1.05797676e+19 4.21108953e+18 1.67801280e+18 6.68884084e+17 2.66599275e+17 1.06229184e+17 4.23162295e+16 1.68530225e+16 6.71098735e+15 2.67211448e+15 1.06389406e+15 4.23570515e+14 1.68633159e+14 6.71357541e+13 2.67276493e+13 1.06405760e+13 4.23611689e+12 1.68643562e+12 6.71384062e+11 2.67283393e+11 1.06407644e+11 4.23617376e+10 1.68645592e+10 6.71392961e+09 2.67288030e+09 1.06410323e+09 4.23633654e+08 1.68655706e+08 6.71456364e+07 2.67327934e+07 1.06435473e+07 4.23792250e+06 1.68755731e+06 6.72087167e+05 2.67725693e+05 1.06686226e+05 4.25372469e+04 1.69751081e+04 6.78352833e+03 2.71666849e+03 1.09163133e+03 4.40927637e+02 1.79518444e+02 7.39777955e+01 3.10507411e+01 1.34062004e+01 6.05299610e+00 2.94161978e+00 1.61232503e+00 1.05296794e+00 8.38815775e-01 7.85498052e-01 1.12251754e+26 8.46864396e+25 6.37116672e+25 4.77825044e+25 3.57107643e+25 2.65835640e+25 1.97003918e+25 1.45243505e+25 1.06444910e+25 7.74674357e+24 5.59145494e+24 3.99609426e+24 2.82191044e+24 1.96367149e+24 1.34176539e+24 8.96116319e+23 5.81489438e+23 3.63852227e+23 2.17533861e+23 1.23000015e+23 6.51481200e+22 3.21345914e+22 1.47801574e+22 6.40154235e+21 2.65273099e+21 1.06978759e+21 4.25733191e+20 1.68715977e+20 6.68923170e+19 2.65751746e+19 1.05777786e+19 4.21497757e+18 1.68016085e+18 6.69667100e+17 2.66835644e+17 1.06293563e+17 4.23328784e+16 1.68572380e+16 6.71204805e+15 2.67238102e+15 1.06396101e+15 4.23587333e+14 1.68637383e+14 6.71368154e+13 2.67279159e+13 1.06406429e+13 4.23613373e+12 1.68643986e+12 6.71385118e+11 2.67283658e+11 1.06407710e+11 4.23617544e+10 1.68645636e+10 6.71393070e+09 2.67288057e+09 1.06410329e+09 4.23633670e+08 1.68655709e+08 6.71456379e+07 2.67327938e+07 1.06435473e+07 4.23792255e+06 1.68755729e+06 6.72087168e+05 2.67725696e+05 1.06686227e+05 4.25372460e+04 1.69751082e+04 6.78352835e+03 2.71666847e+03 1.09163134e+03 4.40927637e+02 1.79518444e+02 7.39777947e+01 3.10507413e+01 1.34062004e+01 6.05299618e+00 2.94161976e+00 1.61232502e+00 1.05296795e+00 8.38815773e-01 2.81963657e+26 2.12722719e+26 1.60036472e+26 1.20024224e+26 8.97013843e+25 6.67748937e+25 4.94851469e+25 3.64835190e+25 2.67377526e+25 1.94589401e+25 1.40450998e+25 1.00377349e+25 7.08831853e+24 4.93251978e+24 3.37036229e+24 2.25094242e+24 1.46063543e+24 9.13955472e+23 5.46420354e+23 3.08962069e+23 1.63644679e+23 8.07184442e+22 3.71260769e+22 1.60799474e+22 6.66335897e+21 2.68718494e+21 1.06939343e+21 4.23795374e+20 1.68025903e+20 6.67538206e+19 2.65701787e+19 1.05875450e+19 4.22037325e+18 1.68212770e+18 6.70260834e+17 2.66997358e+17 1.06335383e+17 4.23434673e+16 1.68599024e+16 6.71271759e+15 2.67254920e+15 1.06400326e+15 4.23597945e+14 1.68640049e+14 6.71374852e+13 2.67280840e+13 1.06406852e+13 4.23614438e+12 1.68644252e+12 6.71385784e+11 2.67283825e+11 1.06407753e+11 4.23617655e+10 1.68645664e+10 6.71393140e+09 2.67288071e+09 1.06410333e+09 4.23633679e+08 1.68655713e+08 6.71456390e+07 2.67327938e+07 1.06435475e+07 4.23792250e+06 1.68755729e+06 6.72087173e+05 2.67725699e+05 1.06686225e+05 4.25372462e+04 1.69751082e+04 6.78352830e+03 2.71666850e+03 1.09163134e+03 4.40927636e+02 1.79518442e+02 7.39777951e+01 3.10507413e+01 1.34062006e+01 6.05299614e+00 2.94161973e+00 1.61232503e+00 1.05296795e+00 7.08260685e+26 5.34335310e+26 4.01993444e+26 3.01487221e+26 2.25319690e+26 1.67730949e+26 1.24301069e+26 9.16424563e+25 6.71621981e+25 4.88786475e+25 3.52796956e+25 2.52136502e+25 1.78050511e+25 1.23899295e+25 8.46596730e+24 5.65411173e+24 3.66895031e+24 2.29575235e+24 1.37254587e+24 7.76077630e+23 4.11056848e+23 2.02755565e+23 9.32564888e+22 4.03910016e+22 1.67376010e+22 6.74990339e+21 2.68619484e+21 1.06452585e+21 4.22061987e+20 1.67678016e+20 6.67412713e+19 2.65947105e+19 1.06010983e+19 4.22531375e+18 1.68361909e+18 6.70667039e+17 2.67102405e+17 1.06361981e+17 4.23501599e+16 1.68615842e+16 6.71314004e+15 2.67265532e+15 1.06402991e+15 4.23604641e+14 1.68641732e+14 6.71379073e+13 2.67281902e+13 1.06407120e+13 4.23615104e+12 1.68644419e+12 6.71386203e+11 2.67283931e+11 1.06407781e+11 4.23617724e+10 1.68645681e+10 6.71393176e+09 2.67288082e+09 1.06410335e+09 4.23633689e+08 1.68655716e+08 6.71456389e+07 2.67327941e+07 1.06435473e+07 4.23792251e+06 1.68755730e+06 6.72087182e+05 2.67725693e+05 1.06686225e+05 4.25372463e+04 1.69751081e+04 6.78352836e+03 2.71666849e+03 1.09163134e+03 4.40927632e+02 1.79518443e+02 7.39777951e+01 3.10507417e+01 1.34062005e+01 6.05299608e+00 2.94161975e+00 1.61232502e+00 1.77907040e+27 1.34218962e+27 1.00976188e+27 7.57301659e+26 5.65977472e+26 4.21321096e+26 3.12230169e+26 2.30195443e+26 1.68703814e+26 1.22777612e+26 8.86185887e+25 6.33338258e+25 4.47242664e+25 3.11220958e+25 2.12655484e+25 1.42024865e+25 9.21598651e+24 5.76666918e+24 3.44767935e+24 1.94941887e+24 1.03252812e+24 5.09298952e+23 2.34249709e+23 1.01457609e+23 4.20429528e+22 1.69549907e+22 6.74741636e+21 2.67396804e+21 1.06017178e+21 4.21188134e+20 1.67646494e+20 6.68028926e+19 2.66287550e+19 1.06135083e+19 4.22905996e+18 1.68463944e+18 6.70930906e+17 2.67169216e+17 1.06378792e+17 4.23543844e+16 1.68626453e+16 6.71340659e+15 2.67272228e+15 1.06404673e+15 4.23608867e+14 1.68642792e+14 6.71381742e+13 2.67282574e+13 1.06407287e+13 4.23615525e+12 1.68644524e+12 6.71386469e+11 2.67284001e+11 1.06407798e+11 4.23617768e+10 1.68645690e+10 6.71393202e+09 2.67288088e+09 1.06410338e+09 4.23633696e+08 1.68655716e+08 6.71456398e+07 2.67327938e+07 1.06435474e+07 4.23792254e+06 1.68755732e+06 6.72087168e+05 2.67725695e+05 1.06686226e+05 4.25372460e+04 1.69751083e+04 6.78352835e+03 2.71666849e+03 1.09163132e+03 4.40927634e+02 1.79518443e+02 7.39777961e+01 3.10507415e+01 1.34062003e+01 6.05299612e+00 2.94161975e+00 4.46882281e+27 3.37142788e+27 2.53640716e+27 1.90225576e+27 1.42167113e+27 1.05831074e+27 7.84286724e+26 5.78224809e+26 4.23764821e+26 3.08403417e+26 2.22599831e+26 1.59087378e+26 1.12342278e+26 7.81751702e+25 5.34166425e+25 3.56750332e+25 2.31495115e+25 1.44852181e+25 8.66017899e+24 4.89671880e+24 2.59359337e+24 1.27930113e+24 5.88408665e+23 2.54849991e+23 1.05607123e+23 4.25890112e+22 1.69487436e+22 6.71670403e+21 2.66303111e+21 1.05797676e+21 4.21108953e+20 1.67801279e+20 6.68884083e+19 2.66599274e+19 1.06229183e+19 4.23162294e+18 1.68530224e+18 6.71098729e+17 2.67211444e+17 1.06389403e+17 4.23570499e+16 1.68633149e+16 6.71357478e+15 2.67276453e+15 1.06405735e+15 4.23611530e+14 1.68643462e+14 6.71383430e+13 2.67282994e+13 1.06407393e+13 4.23615789e+12 1.68644591e+12 6.71386645e+11 2.67284045e+11 1.06407809e+11 4.23617790e+10 1.68645697e+10 6.71393216e+09 2.67288094e+09 1.06410339e+09 4.23633695e+08 1.68655718e+08 6.71456389e+07 2.67327938e+07 1.06435474e+07 4.23792260e+06 1.68755729e+06 6.72087172e+05 2.67725696e+05 1.06686225e+05 4.25372464e+04 1.69751082e+04 6.78352835e+03 2.71666846e+03 1.09163133e+03 4.40927634e+02 1.79518445e+02 7.39777955e+01 3.10507412e+01 1.34062004e+01 6.05299611e+00 1.12251754e+28 8.46864396e+27 6.37116672e+27 4.77825044e+27 3.57107643e+27 2.65835640e+27 1.97003918e+27 1.45243505e+27 1.06444910e+27 7.74674357e+26 5.59145494e+26 3.99609426e+26 2.82191044e+26 1.96367149e+26 1.34176539e+26 8.96116319e+25 5.81489438e+25 3.63852227e+25 2.17533861e+25 1.23000015e+25 6.51481200e+24 3.21345914e+24 1.47801574e+24 6.40154235e+23 2.65273099e+23 1.06978759e+23 4.25733191e+22 1.68715977e+22 6.68923170e+21 2.65751746e+21 1.05777786e+21 4.21497757e+20 1.68016085e+20 6.69667100e+19 2.66835644e+19 1.06293562e+19 4.23328783e+18 1.68572379e+18 6.71204799e+17 2.67238098e+17 1.06396099e+17 4.23587317e+16 1.68637373e+16 6.71368091e+15 2.67279119e+15 1.06406404e+15 4.23613214e+14 1.68643886e+14 6.71384486e+13 2.67283260e+13 1.06407459e+13 4.23615957e+12 1.68644635e+12 6.71386755e+11 2.67284072e+11 1.06407815e+11 4.23617807e+10 1.68645700e+10 6.71393231e+09 2.67288098e+09 1.06410339e+09 4.23633701e+08 1.68655716e+08 6.71456391e+07 2.67327940e+07 1.06435476e+07 4.23792251e+06 1.68755730e+06 6.72087174e+05 2.67725694e+05 1.06686226e+05 4.25372464e+04 1.69751082e+04 6.78352828e+03 2.71666848e+03 1.09163133e+03 4.40927640e+02 1.79518444e+02 7.39777949e+01 3.10507414e+01 1.34062004e+01 2.81963657e+28 2.12722719e+28 1.60036472e+28 1.20024224e+28 8.97013843e+27 6.67748937e+27 4.94851469e+27 3.64835190e+27 2.67377526e+27 1.94589401e+27 1.40450998e+27 1.00377349e+27 7.08831853e+26 4.93251978e+26 3.37036229e+26 2.25094242e+26 1.46063543e+26 9.13955472e+25 5.46420354e+25 3.08962069e+25 1.63644679e+25 8.07184442e+24 3.71260769e+24 1.60799474e+24 6.66335897e+23 2.68718494e+23 1.06939343e+23 4.23795374e+22 1.68025903e+22 6.67538206e+21 2.65701787e+21 1.05875450e+21 4.22037325e+20 1.68212770e+20 6.70260834e+19 2.66997357e+19 1.06335382e+19 4.23434672e+18 1.68599023e+18 6.71271753e+17 2.67254916e+17 1.06400323e+17 4.23597929e+16 1.68640039e+16 6.71374789e+15 2.67280800e+15 1.06406827e+15 4.23614280e+14 1.68644152e+14 6.71385152e+13 2.67283427e+13 1.06407501e+13 4.23616068e+12 1.68644663e+12 6.71386824e+11 2.67284087e+11 1.06407819e+11 4.23617816e+10 1.68645704e+10 6.71393243e+09 2.67288098e+09 1.06410341e+09 4.23633695e+08 1.68655716e+08 6.71456396e+07 2.67327944e+07 1.06435474e+07 4.23792253e+06 1.68755730e+06 6.72087169e+05 2.67725696e+05 1.06686226e+05 4.25372463e+04 1.69751080e+04 6.78352832e+03 2.71666848e+03 1.09163134e+03 4.40927637e+02 1.79518442e+02 7.39777953e+01 3.10507413e+01 # # uncertainties in the thermally averaged relativistic Gaunt factors 2.7338e-03 2.2401e-03 1.7478e-03 1.4154e-03 1.0798e-03 8.4971e-04 6.5839e-04 4.5867e-04 4.0259e-04 3.0618e-04 2.5871e-04 1.7468e-04 1.5519e-04 1.2293e-04 1.0022e-04 7.5592e-05 6.1501e-05 4.7182e-05 3.7613e-05 3.1875e-05 2.4812e-05 1.9725e-05 1.7573e-05 1.6101e-05 1.5553e-05 1.5410e-05 1.5944e-05 1.4816e-05 1.5137e-05 1.5008e-05 1.6257e-05 1.5975e-05 1.5666e-05 1.5592e-05 1.5534e-05 1.5511e-05 1.5490e-05 1.5474e-05 1.5467e-05 1.5468e-05 1.5467e-05 1.5472e-05 1.5469e-05 1.5466e-05 1.5458e-05 1.5456e-05 1.5461e-05 1.5468e-05 1.5467e-05 1.5461e-05 1.5458e-05 1.5453e-05 1.5465e-05 1.5463e-05 1.5471e-05 1.5467e-05 1.5468e-05 1.5457e-05 1.5468e-05 1.5470e-05 1.5469e-05 1.5467e-05 1.5463e-05 1.5459e-05 1.5468e-05 1.5482e-05 1.5461e-05 1.5466e-05 1.5455e-05 1.5459e-05 1.5471e-05 1.5470e-05 1.5471e-05 1.5454e-05 1.5451e-05 1.5461e-05 1.5474e-05 1.5466e-05 1.5463e-05 1.5455e-05 1.5457e-05 3.0097e-03 2.0696e-03 1.7485e-03 1.1824e-03 1.0548e-03 8.3360e-04 6.8034e-04 5.1382e-04 4.0829e-04 2.9575e-04 2.5538e-04 2.0162e-04 1.6030e-04 1.1790e-04 9.1402e-05 7.4895e-05 5.5275e-05 4.6584e-05 3.7424e-05 2.9497e-05 2.2657e-05 2.0540e-05 1.8387e-05 1.6811e-05 1.6681e-05 1.6039e-05 1.4973e-05 1.5125e-05 1.5133e-05 1.4865e-05 1.4918e-05 1.4762e-05 1.4663e-05 1.5221e-05 1.5156e-05 1.5128e-05 1.5105e-05 1.5087e-05 1.5079e-05 1.5079e-05 1.5078e-05 1.5082e-05 1.5080e-05 1.5076e-05 1.5068e-05 1.5066e-05 1.5071e-05 1.5078e-05 1.5077e-05 1.5071e-05 1.5068e-05 1.5063e-05 1.5075e-05 1.5073e-05 1.5081e-05 1.5077e-05 1.5077e-05 1.5067e-05 1.5078e-05 1.5080e-05 1.5079e-05 1.5077e-05 1.5073e-05 1.5069e-05 1.5078e-05 1.5092e-05 1.5071e-05 1.5076e-05 1.5065e-05 1.5069e-05 1.5081e-05 1.5080e-05 1.5081e-05 1.5064e-05 1.5061e-05 1.5071e-05 1.5084e-05 1.5076e-05 1.5073e-05 1.5065e-05 1.5067e-05 2.7614e-03 2.1148e-03 1.7280e-03 1.3655e-03 1.0983e-03 8.5026e-04 6.2135e-04 5.0936e-04 4.1291e-04 3.2210e-04 2.3431e-04 1.9935e-04 1.4486e-04 1.1853e-04 9.3164e-05 8.1437e-05 6.0498e-05 4.6385e-05 3.4818e-05 2.8483e-05 2.2259e-05 2.1519e-05 1.6588e-05 1.6912e-05 1.7025e-05 1.6376e-05 1.4926e-05 1.4972e-05 1.5974e-05 1.5344e-05 1.4704e-05 1.4584e-05 1.4508e-05 1.4466e-05 1.4427e-05 1.4416e-05 1.4951e-05 1.4934e-05 1.4927e-05 1.4927e-05 1.4927e-05 1.4931e-05 1.4928e-05 1.4925e-05 1.4917e-05 1.4915e-05 1.4920e-05 1.4927e-05 1.4926e-05 1.4921e-05 1.4917e-05 1.4913e-05 1.4924e-05 1.4923e-05 1.4930e-05 1.4926e-05 1.4927e-05 1.4916e-05 1.4927e-05 1.4929e-05 1.4928e-05 1.4926e-05 1.4922e-05 1.4919e-05 1.4927e-05 1.4941e-05 1.4920e-05 1.4926e-05 1.4915e-05 1.4918e-05 1.4930e-05 1.4929e-05 1.4930e-05 1.4913e-05 1.4911e-05 1.4921e-05 1.4933e-05 1.4925e-05 1.4922e-05 1.4914e-05 1.4917e-05 2.7927e-03 2.1016e-03 1.5975e-03 1.3530e-03 9.1551e-04 8.4016e-04 6.3257e-04 5.2658e-04 3.5146e-04 2.9675e-04 2.1957e-04 1.9642e-04 1.5399e-04 1.2360e-04 9.1128e-05 7.4486e-05 6.2289e-05 4.4332e-05 3.8801e-05 2.9393e-05 2.2650e-05 1.7816e-05 1.5855e-05 1.6905e-05 1.5752e-05 1.4577e-05 1.4881e-05 1.4397e-05 1.5236e-05 1.4793e-05 1.3953e-05 1.3789e-05 1.3685e-05 1.3626e-05 1.3575e-05 1.5007e-05 1.4983e-05 1.4965e-05 1.4956e-05 1.4955e-05 1.4954e-05 1.4958e-05 1.4955e-05 1.4952e-05 1.4944e-05 1.4942e-05 1.4947e-05 1.4954e-05 1.4953e-05 1.4947e-05 1.4944e-05 1.4939e-05 1.4951e-05 1.4949e-05 1.4956e-05 1.4952e-05 1.4953e-05 1.4943e-05 1.4954e-05 1.4955e-05 1.4954e-05 1.4953e-05 1.4948e-05 1.4945e-05 1.4953e-05 1.4967e-05 1.4947e-05 1.4952e-05 1.4941e-05 1.4945e-05 1.4957e-05 1.4956e-05 1.4956e-05 1.4940e-05 1.4938e-05 1.4947e-05 1.4959e-05 1.4952e-05 1.4949e-05 1.4941e-05 1.4943e-05 2.3974e-03 2.0101e-03 1.5439e-03 1.3369e-03 1.0566e-03 8.4007e-04 6.1972e-04 5.0605e-04 3.9345e-04 3.1804e-04 2.3971e-04 1.9383e-04 1.4102e-04 1.1137e-04 9.8773e-05 6.8001e-05 5.8741e-05 4.4742e-05 3.8773e-05 2.9179e-05 2.2054e-05 1.9715e-05 1.7921e-05 1.4817e-05 1.4870e-05 1.6056e-05 1.4588e-05 1.5421e-05 1.4672e-05 1.5096e-05 1.4250e-05 1.5265e-05 1.5138e-05 1.5423e-05 1.5293e-05 1.5273e-05 1.5255e-05 1.5241e-05 1.5235e-05 1.5235e-05 1.5235e-05 1.5239e-05 1.5237e-05 1.5234e-05 1.5227e-05 1.5225e-05 1.5229e-05 1.5236e-05 1.5235e-05 1.5230e-05 1.5226e-05 1.5223e-05 1.5233e-05 1.5232e-05 1.5239e-05 1.5235e-05 1.5236e-05 1.5226e-05 1.5236e-05 1.5238e-05 1.5237e-05 1.5235e-05 1.5231e-05 1.5228e-05 1.5236e-05 1.5249e-05 1.5229e-05 1.5235e-05 1.5225e-05 1.5228e-05 1.5239e-05 1.5238e-05 1.5239e-05 1.5223e-05 1.5221e-05 1.5230e-05 1.5241e-05 1.5234e-05 1.5232e-05 1.5224e-05 1.5226e-05 2.6440e-03 2.1568e-03 1.6509e-03 1.2256e-03 9.7347e-04 7.5646e-04 6.7106e-04 4.6764e-04 4.0507e-04 3.0537e-04 2.2864e-04 1.8323e-04 1.5168e-04 1.1878e-04 1.0141e-04 7.3428e-05 5.6892e-05 4.4442e-05 3.3892e-05 3.0594e-05 2.4907e-05 1.8367e-05 1.7731e-05 1.5505e-05 1.4665e-05 1.4837e-05 1.4242e-05 1.4834e-05 1.4634e-05 1.3819e-05 1.3803e-05 1.3958e-05 1.3879e-05 1.3835e-05 1.4216e-05 1.4202e-05 1.4187e-05 1.4175e-05 1.4170e-05 1.4172e-05 1.4172e-05 1.4177e-05 1.4175e-05 1.4172e-05 1.4164e-05 1.4162e-05 1.4167e-05 1.4174e-05 1.4173e-05 1.4168e-05 1.4164e-05 1.4160e-05 1.4171e-05 1.4170e-05 1.4177e-05 1.4173e-05 1.4174e-05 1.4164e-05 1.4174e-05 1.4176e-05 1.4175e-05 1.4173e-05 1.4169e-05 1.4166e-05 1.4174e-05 1.4188e-05 1.4167e-05 1.4173e-05 1.4162e-05 1.4166e-05 1.4177e-05 1.4176e-05 1.4177e-05 1.4161e-05 1.4158e-05 1.4168e-05 1.4180e-05 1.4172e-05 1.4170e-05 1.4162e-05 1.4164e-05 2.7442e-03 1.7935e-03 1.5496e-03 1.1492e-03 1.0286e-03 8.1629e-04 6.4722e-04 4.7900e-04 4.1086e-04 3.2328e-04 2.1799e-04 1.8802e-04 1.4716e-04 1.1294e-04 8.5706e-05 7.2300e-05 5.2389e-05 4.5724e-05 3.3309e-05 2.6596e-05 2.1381e-05 1.9862e-05 1.5214e-05 1.5136e-05 1.5310e-05 1.4863e-05 1.4447e-05 1.4859e-05 1.3979e-05 1.4313e-05 1.4491e-05 1.3527e-05 1.4771e-05 1.4685e-05 1.4621e-05 1.4592e-05 1.4569e-05 1.4552e-05 1.4544e-05 1.4543e-05 1.4542e-05 1.4545e-05 1.4543e-05 1.4540e-05 1.4532e-05 1.4530e-05 1.4535e-05 1.4542e-05 1.4540e-05 1.4535e-05 1.4532e-05 1.4528e-05 1.4538e-05 1.4537e-05 1.4544e-05 1.4540e-05 1.4541e-05 1.4531e-05 1.4542e-05 1.4543e-05 1.4542e-05 1.4541e-05 1.4536e-05 1.4533e-05 1.4541e-05 1.4554e-05 1.4535e-05 1.4540e-05 1.4530e-05 1.4533e-05 1.4544e-05 1.4544e-05 1.4544e-05 1.4529e-05 1.4526e-05 1.4535e-05 1.4547e-05 1.4540e-05 1.4537e-05 1.4530e-05 1.4532e-05 2.6390e-03 2.0447e-03 1.6599e-03 1.2552e-03 1.0158e-03 7.5002e-04 5.8282e-04 5.1848e-04 3.5463e-04 3.0028e-04 2.0826e-04 1.9007e-04 1.4035e-04 1.2253e-04 7.8162e-05 7.0673e-05 5.5039e-05 3.9633e-05 3.6685e-05 2.7551e-05 2.2177e-05 1.8646e-05 1.6834e-05 1.6185e-05 1.4293e-05 1.4864e-05 1.5137e-05 1.4252e-05 1.3717e-05 1.3958e-05 1.4478e-05 1.4256e-05 1.4121e-05 1.4043e-05 1.3983e-05 1.3958e-05 1.3936e-05 1.3920e-05 1.3913e-05 1.3912e-05 1.3912e-05 1.3915e-05 1.3913e-05 1.3910e-05 1.3902e-05 1.3900e-05 1.3905e-05 1.3912e-05 1.3911e-05 1.3906e-05 1.3902e-05 1.3898e-05 1.3909e-05 1.3907e-05 1.3914e-05 1.3911e-05 1.3911e-05 1.3902e-05 1.3912e-05 1.3913e-05 1.3913e-05 1.3911e-05 1.3907e-05 1.3904e-05 1.3911e-05 1.3925e-05 1.3905e-05 1.3910e-05 1.3900e-05 1.3904e-05 1.3915e-05 1.3914e-05 1.3915e-05 1.3899e-05 1.3896e-05 1.3906e-05 1.3917e-05 1.3910e-05 1.3907e-05 1.3900e-05 1.3902e-05 2.3891e-03 2.0421e-03 1.4150e-03 1.2107e-03 8.9019e-04 7.6065e-04 6.1276e-04 4.9133e-04 3.6884e-04 2.9904e-04 2.3137e-04 1.8745e-04 1.4382e-04 1.1313e-04 8.6490e-05 6.9452e-05 5.5189e-05 3.7733e-05 3.5378e-05 2.7924e-05 2.1469e-05 1.8040e-05 1.6897e-05 1.3662e-05 1.4201e-05 1.3781e-05 1.3843e-05 1.3696e-05 1.4457e-05 1.3531e-05 1.3323e-05 1.3223e-05 1.4488e-05 1.4400e-05 1.4333e-05 1.4303e-05 1.4279e-05 1.4261e-05 1.4252e-05 1.4251e-05 1.4249e-05 1.4253e-05 1.4250e-05 1.4247e-05 1.4240e-05 1.4238e-05 1.4242e-05 1.4249e-05 1.4248e-05 1.4243e-05 1.4239e-05 1.4236e-05 1.4246e-05 1.4244e-05 1.4251e-05 1.4247e-05 1.4248e-05 1.4239e-05 1.4249e-05 1.4250e-05 1.4249e-05 1.4248e-05 1.4244e-05 1.4241e-05 1.4248e-05 1.4261e-05 1.4242e-05 1.4247e-05 1.4237e-05 1.4241e-05 1.4251e-05 1.4251e-05 1.4251e-05 1.4236e-05 1.4234e-05 1.4243e-05 1.4254e-05 1.4247e-05 1.4244e-05 1.4237e-05 1.4239e-05 2.5039e-03 2.0348e-03 1.5730e-03 1.2811e-03 9.8278e-04 7.7972e-04 5.8917e-04 4.5738e-04 3.9948e-04 2.7286e-04 2.3115e-04 1.6750e-04 1.3941e-04 1.0844e-04 8.9591e-05 6.7430e-05 5.6138e-05 4.2670e-05 3.3424e-05 2.8337e-05 2.3574e-05 1.8857e-05 1.5358e-05 1.4021e-05 1.4003e-05 1.3653e-05 1.3372e-05 1.3737e-05 1.4458e-05 1.3344e-05 1.4359e-05 1.3981e-05 1.3865e-05 1.3799e-05 1.3746e-05 1.3725e-05 1.3706e-05 1.3692e-05 1.3685e-05 1.3686e-05 1.3685e-05 1.3689e-05 1.3687e-05 1.3684e-05 1.3676e-05 1.3675e-05 1.3679e-05 1.3686e-05 1.3685e-05 1.3680e-05 1.3676e-05 1.3673e-05 1.3683e-05 1.3681e-05 1.3688e-05 1.3685e-05 1.3685e-05 1.3676e-05 1.3686e-05 1.3687e-05 1.3686e-05 1.3685e-05 1.3681e-05 1.3678e-05 1.3685e-05 1.3699e-05 1.3679e-05 1.3684e-05 1.3674e-05 1.3678e-05 1.3689e-05 1.3688e-05 1.3688e-05 1.3673e-05 1.3671e-05 1.3680e-05 1.3691e-05 1.3684e-05 1.3681e-05 1.3674e-05 1.3676e-05 2.7131e-03 1.8845e-03 1.5732e-03 1.2387e-03 9.2214e-04 7.3024e-04 6.0817e-04 4.4244e-04 4.0367e-04 2.8374e-04 2.2979e-04 1.7803e-04 1.5259e-04 1.0537e-04 8.6310e-05 6.5771e-05 5.1066e-05 4.4631e-05 3.2982e-05 2.6389e-05 2.0176e-05 1.8513e-05 1.5311e-05 1.4501e-05 1.3935e-05 1.4182e-05 1.3763e-05 1.3665e-05 1.2726e-05 1.3987e-05 1.3726e-05 1.3596e-05 1.3846e-05 1.3775e-05 1.3720e-05 1.3697e-05 1.3677e-05 1.3662e-05 1.3655e-05 1.3655e-05 1.3655e-05 1.3658e-05 1.3656e-05 1.3653e-05 1.3646e-05 1.3644e-05 1.3649e-05 1.3655e-05 1.3654e-05 1.3649e-05 1.3646e-05 1.3642e-05 1.3652e-05 1.3651e-05 1.3657e-05 1.3654e-05 1.3654e-05 1.3645e-05 1.3655e-05 1.3656e-05 1.3655e-05 1.3654e-05 1.3650e-05 1.3647e-05 1.3654e-05 1.3667e-05 1.3648e-05 1.3653e-05 1.3644e-05 1.3647e-05 1.3658e-05 1.3657e-05 1.3657e-05 1.3643e-05 1.3640e-05 1.3649e-05 1.3660e-05 1.3653e-05 1.3651e-05 1.3644e-05 1.3646e-05 2.6256e-03 1.9329e-03 1.5651e-03 1.2138e-03 9.9293e-04 7.5736e-04 5.9791e-04 4.5448e-04 3.7081e-04 2.8060e-04 2.0975e-04 1.7753e-04 1.2037e-04 1.1692e-04 8.3058e-05 6.8914e-05 5.1625e-05 4.1986e-05 3.3189e-05 2.3192e-05 1.9599e-05 1.7613e-05 1.4699e-05 1.5014e-05 1.4991e-05 1.4485e-05 1.3228e-05 1.4016e-05 1.3132e-05 1.4068e-05 1.2936e-05 1.2821e-05 1.2883e-05 1.2828e-05 1.2782e-05 1.2765e-05 1.2750e-05 1.2737e-05 1.2731e-05 1.2732e-05 1.2732e-05 1.2737e-05 1.2735e-05 1.2732e-05 1.2724e-05 1.2722e-05 1.2727e-05 1.2734e-05 1.2733e-05 1.2728e-05 1.2724e-05 1.2720e-05 1.2731e-05 1.2730e-05 1.2736e-05 1.2733e-05 1.2733e-05 1.2724e-05 1.2734e-05 1.2735e-05 1.2735e-05 1.2733e-05 1.2729e-05 1.2726e-05 1.2733e-05 1.2747e-05 1.2727e-05 1.2732e-05 1.2722e-05 1.2726e-05 1.2737e-05 1.2736e-05 1.2737e-05 1.2721e-05 1.2719e-05 1.2728e-05 1.2739e-05 1.2732e-05 1.2730e-05 1.2722e-05 1.2724e-05 2.5255e-03 2.0056e-03 1.4300e-03 1.2136e-03 8.8099e-04 7.9667e-04 5.6847e-04 4.4268e-04 3.4656e-04 2.8906e-04 2.2037e-04 1.7601e-04 1.3674e-04 1.1010e-04 8.3832e-05 6.6311e-05 5.0379e-05 3.5985e-05 3.4316e-05 2.5968e-05 1.9950e-05 1.5772e-05 1.5519e-05 1.4400e-05 1.3874e-05 1.3421e-05 1.2821e-05 1.2800e-05 1.2467e-05 1.3359e-05 1.3069e-05 1.2921e-05 1.2827e-05 1.2774e-05 1.2729e-05 1.2712e-05 1.2696e-05 1.2684e-05 1.2678e-05 1.2679e-05 1.2679e-05 1.2684e-05 1.2682e-05 1.2679e-05 1.2671e-05 1.2670e-05 1.2674e-05 1.2681e-05 1.2680e-05 1.2675e-05 1.2671e-05 1.2668e-05 1.2678e-05 1.2677e-05 1.2683e-05 1.2680e-05 1.2680e-05 1.2671e-05 1.2681e-05 1.2682e-05 1.2682e-05 1.2680e-05 1.2676e-05 1.2673e-05 1.2680e-05 1.2694e-05 1.2674e-05 1.2679e-05 1.2670e-05 1.2673e-05 1.2684e-05 1.2683e-05 1.2683e-05 1.2668e-05 1.2666e-05 1.2675e-05 1.2686e-05 1.2679e-05 1.2677e-05 1.2669e-05 1.2671e-05 2.3170e-03 1.9719e-03 1.5412e-03 1.2064e-03 9.3637e-04 7.6354e-04 5.7371e-04 4.5710e-04 3.3036e-04 2.8508e-04 2.2529e-04 1.6629e-04 1.3624e-04 9.2492e-05 8.7400e-05 5.7633e-05 4.9376e-05 3.5320e-05 3.3358e-05 2.5684e-05 1.9505e-05 1.6666e-05 1.5824e-05 1.4080e-05 1.3087e-05 1.3013e-05 1.2839e-05 1.2610e-05 1.2907e-05 1.3302e-05 1.3026e-05 1.2888e-05 1.2803e-05 1.2754e-05 1.2713e-05 1.2699e-05 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