# # # 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) 11 # 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. # 1.84170763e+03 1.44857350e+03 1.13924656e+03 8.95883337e+02 7.04434841e+02 5.53840885e+02 4.35394842e+02 3.42243556e+02 2.68993643e+02 2.11401725e+02 1.66130679e+02 1.30559500e+02 1.02635053e+02 8.07585271e+01 6.36997312e+01 5.05306099e+01 4.05649895e+01 3.32855999e+01 2.82497929e+01 2.50043561e+01 2.30673874e+01 2.19872709e+01 2.14124353e+01 2.11125776e+01 2.09554270e+01 2.08711950e+01 2.08246097e+01 2.07979953e+01 2.07823555e+01 2.07729586e+01 2.07672192e+01 2.07636742e+01 2.07614683e+01 2.07600890e+01 2.07592231e+01 2.07586791e+01 2.07583365e+01 2.07581205e+01 2.07579844e+01 2.07578988e+01 2.07578446e+01 2.07578103e+01 2.07577889e+01 2.07577754e+01 2.07577666e+01 2.07577612e+01 2.07577580e+01 2.07577556e+01 2.07577542e+01 2.07577535e+01 2.07577529e+01 2.07577527e+01 2.07577525e+01 2.07577522e+01 2.07577523e+01 2.07577521e+01 2.07577521e+01 2.07577522e+01 2.07577524e+01 2.07577520e+01 2.07577519e+01 2.07577521e+01 2.07577520e+01 2.07577522e+01 2.07577523e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577522e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577519e+01 2.07577521e+01 2.07577522e+01 2.07577523e+01 2.07577519e+01 2.07577521e+01 2.07577518e+01 2.07577521e+01 1.82364562e+03 1.43422645e+03 1.12785043e+03 8.86831035e+02 6.97244398e+02 5.48129319e+02 4.30857912e+02 3.38639704e+02 2.66130991e+02 2.09127664e+02 1.64324079e+02 1.29123973e+02 1.01493780e+02 7.98501262e+01 6.29746781e+01 4.99483718e+01 4.00917328e+01 3.28924881e+01 2.79124429e+01 2.47030919e+01 2.27877165e+01 2.17196584e+01 2.11512429e+01 2.08547340e+01 2.06993336e+01 2.06160402e+01 2.05699714e+01 2.05436557e+01 2.05281898e+01 2.05188968e+01 2.05132202e+01 2.05097144e+01 2.05075329e+01 2.05061688e+01 2.05053125e+01 2.05047745e+01 2.05044357e+01 2.05042221e+01 2.05040875e+01 2.05040028e+01 2.05039493e+01 2.05039153e+01 2.05038942e+01 2.05038808e+01 2.05038721e+01 2.05038667e+01 2.05038636e+01 2.05038613e+01 2.05038599e+01 2.05038592e+01 2.05038586e+01 2.05038584e+01 2.05038582e+01 2.05038579e+01 2.05038579e+01 2.05038578e+01 2.05038578e+01 2.05038579e+01 2.05038581e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038580e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038579e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038576e+01 2.05038578e+01 2.05038579e+01 2.05038580e+01 2.05038576e+01 2.05038578e+01 2.05038575e+01 2.05038578e+01 1.80558421e+03 1.41987945e+03 1.11645412e+03 8.77778564e+02 6.90053834e+02 5.42417624e+02 4.26321007e+02 3.35035882e+02 2.63268277e+02 2.06853635e+02 1.62517489e+02 1.27688442e+02 1.00352526e+02 7.89417267e+01 6.22496150e+01 4.93661435e+01 3.96184665e+01 3.24993833e+01 2.75750925e+01 2.44018287e+01 2.25080460e+01 2.14520473e+01 2.08900498e+01 2.05968867e+01 2.04432406e+01 2.03608835e+01 2.03153341e+01 2.02893136e+01 2.02740210e+01 2.02648321e+01 2.02592197e+01 2.02557531e+01 2.02535960e+01 2.02522458e+01 2.02513991e+01 2.02508671e+01 2.02505321e+01 2.02503209e+01 2.02501878e+01 2.02501041e+01 2.02500511e+01 2.02500175e+01 2.02499966e+01 2.02499834e+01 2.02499748e+01 2.02499695e+01 2.02499664e+01 2.02499641e+01 2.02499627e+01 2.02499620e+01 2.02499614e+01 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1.99966305e+01 1.99964216e+01 1.99962901e+01 1.99962072e+01 1.99961549e+01 1.99961217e+01 1.99961010e+01 1.99960879e+01 1.99960794e+01 1.99960742e+01 1.99960711e+01 1.99960688e+01 1.99960675e+01 1.99960668e+01 1.99960662e+01 1.99960660e+01 1.99960658e+01 1.99960655e+01 1.99960656e+01 1.99960655e+01 1.99960655e+01 1.99960656e+01 1.99960657e+01 1.99960653e+01 1.99960652e+01 1.99960654e+01 1.99960653e+01 1.99960655e+01 1.99960656e+01 1.99960654e+01 1.99960654e+01 1.99960654e+01 1.99960654e+01 1.99960656e+01 1.99960654e+01 1.99960653e+01 1.99960653e+01 1.99960653e+01 1.99960655e+01 1.99960655e+01 1.99960657e+01 1.99960652e+01 1.99960655e+01 1.99960651e+01 1.99960654e+01 1.76946073e+03 1.39118562e+03 1.09366170e+03 8.59674092e+02 6.75672797e+02 5.30994391e+02 4.17247115e+02 3.27828207e+02 2.57542900e+02 2.02305531e+02 1.58904296e+02 1.24817372e+02 9.80700155e+01 7.71249276e+01 6.07994983e+01 4.82016800e+01 3.86719456e+01 3.17131688e+01 2.69003965e+01 2.37992977e+01 2.19487040e+01 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4.12710242e+02 3.24224371e+02 2.54680194e+02 2.00031474e+02 1.57097689e+02 1.23381836e+02 9.69287544e+01 7.62165290e+01 6.00744424e+01 4.76194576e+01 3.81986835e+01 3.13200575e+01 2.65630508e+01 2.34980330e+01 2.16690347e+01 2.06492120e+01 2.01064739e+01 1.98233547e+01 1.96749641e+01 1.95954202e+01 1.95514237e+01 1.95262899e+01 1.95115170e+01 1.95026386e+01 1.94972169e+01 1.94938675e+01 1.94917836e+01 1.94904805e+01 1.94896625e+01 1.94891486e+01 1.94888250e+01 1.94886209e+01 1.94884923e+01 1.94884114e+01 1.94883603e+01 1.94883278e+01 1.94883076e+01 1.94882949e+01 1.94882865e+01 1.94882814e+01 1.94882784e+01 1.94882762e+01 1.94882749e+01 1.94882742e+01 1.94882736e+01 1.94882734e+01 1.94882732e+01 1.94882729e+01 1.94882730e+01 1.94882729e+01 1.94882729e+01 1.94882730e+01 1.94882731e+01 1.94882728e+01 1.94882726e+01 1.94882729e+01 1.94882728e+01 1.94882729e+01 1.94882731e+01 1.94882728e+01 1.94882729e+01 1.94882728e+01 1.94882729e+01 1.94882730e+01 1.94882728e+01 1.94882728e+01 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1.57343220e+00 8.95384308e-01 6.15351192e-01 5.17758166e-01 5.09638807e-01 5.49022616e-01 6.15218476e-01 6.96173567e-01 7.83030447e-01 1.79340128e+25 1.33928805e+25 9.96113215e+24 7.37454305e+24 5.43065363e+24 3.97454738e+24 2.88786298e+24 2.08031714e+24 1.48317133e+24 1.04419946e+24 7.23814272e+23 4.92087139e+23 3.26451768e+23 2.09930896e+23 1.29758509e+23 7.62979645e+22 4.21907078e+22 2.17076965e+22 1.03258849e+22 4.54812019e+21 1.87503666e+21 7.36222795e+20 2.80613026e+20 1.05561192e+20 3.96720120e+19 1.50093274e+19 5.73820467e+18 2.21869272e+18 8.66629330e+17 3.41213537e+17 1.35079847e+17 5.36495147e+16 2.13427314e+16 8.49609700e+15 3.38273628e+15 1.34685270e+15 5.36238380e+14 2.13492489e+14 8.49959633e+13 3.38382761e+13 1.34714551e+13 5.36313212e+12 2.13511396e+12 8.50007482e+11 3.38394985e+11 1.34717754e+11 5.36322103e+10 2.13514156e+10 8.50017741e+09 3.38399671e+09 1.34720259e+09 5.36336769e+08 2.13523126e+08 8.50073615e+07 3.38434743e+07 1.34742340e+07 5.36475958e+06 2.13610903e+06 8.50627226e+05 3.38783864e+05 1.34962478e+05 5.37863677e+04 2.14485379e+04 8.56135098e+03 3.42250839e+03 1.37143170e+03 5.51569512e+02 2.23094998e+02 9.10234458e+01 3.76327766e+01 1.58763760e+01 6.91091186e+00 3.16320064e+00 1.57343220e+00 8.95384318e-01 6.15351193e-01 5.17758170e-01 5.09638797e-01 5.49022622e-01 6.15218467e-01 6.96173577e-01 4.50482035e+25 3.36413948e+25 2.50212327e+25 1.85240146e+25 1.36411852e+25 9.98361163e+24 7.25398382e+24 5.22552040e+24 3.72555794e+24 2.62291047e+24 1.81813925e+24 1.23606701e+24 8.20009767e+23 5.27322569e+23 3.25938638e+23 1.91651822e+23 1.05978267e+23 5.45272684e+22 2.59374503e+22 1.14243614e+22 4.70987915e+21 1.84930805e+21 7.04868053e+20 2.65157726e+20 9.96515888e+19 3.77017259e+19 1.44137185e+19 5.57310415e+18 2.17687445e+18 8.57089652e+17 3.39305235e+17 1.34761488e+17 5.36105172e+16 2.13412307e+16 8.49704934e+15 3.38314101e+15 1.34696990e+15 5.36268877e+14 2.13500201e+14 8.49979029e+13 3.38387631e+13 1.34715774e+13 5.36316289e+12 2.13512169e+12 8.50009412e+11 3.38395472e+11 1.34717878e+11 5.36322406e+10 2.13514232e+10 8.50017941e+09 3.38399719e+09 1.34720272e+09 5.36336800e+08 2.13523132e+08 8.50073641e+07 3.38434747e+07 1.34742342e+07 5.36475964e+06 2.13610906e+06 8.50627213e+05 3.38783863e+05 1.34962479e+05 5.37863674e+04 2.14485381e+04 8.56135105e+03 3.42250835e+03 1.37143171e+03 5.51569510e+02 2.23094999e+02 9.10234464e+01 3.76327763e+01 1.58763760e+01 6.91091183e+00 3.16320064e+00 1.57343221e+00 8.95384319e-01 6.15351198e-01 5.17758159e-01 5.09638802e-01 5.49022613e-01 6.15218475e-01 1.13155971e+26 8.45033631e+25 6.28504949e+25 4.65302210e+25 3.42651080e+25 2.50776986e+25 1.82211835e+25 1.31259138e+25 9.35817843e+24 6.58845321e+24 4.56695931e+24 3.10485994e+24 2.05977141e+24 1.32457441e+24 8.18720842e+23 4.81407611e+23 2.66205370e+23 1.36966306e+23 6.51519294e+22 2.86966984e+22 1.18306815e+22 4.64525180e+21 1.77054850e+21 6.66046094e+20 2.50313474e+20 9.47024537e+19 3.62056238e+19 1.39990047e+19 5.46806140e+18 2.15291187e+18 8.52296215e+17 3.38505553e+17 1.34663531e+17 5.36067478e+16 2.13436229e+16 8.49806595e+15 3.38343538e+15 1.34704650e+15 5.36288250e+14 2.13505073e+14 8.49991263e+13 3.38390701e+13 1.34716547e+13 5.36318230e+12 2.13512654e+12 8.50010635e+11 3.38395783e+11 1.34717954e+11 5.36322599e+10 2.13514283e+10 8.50018061e+09 3.38399752e+09 1.34720280e+09 5.36336815e+08 2.13523139e+08 8.50073651e+07 3.38434751e+07 1.34742343e+07 5.36475971e+06 2.13610903e+06 8.50627209e+05 3.38783867e+05 1.34962479e+05 5.37863679e+04 2.14485382e+04 8.56135095e+03 3.42250836e+03 1.37143170e+03 5.51569512e+02 2.23095001e+02 9.10234456e+01 3.76327762e+01 1.58763759e+01 6.91091182e+00 3.16320067e+00 1.57343222e+00 8.95384326e-01 6.15351185e-01 5.17758164e-01 5.09638794e-01 5.49022621e-01 2.84234949e+26 2.12262851e+26 1.57873305e+26 1.16878631e+26 8.60700598e+25 6.29923309e+25 4.57695437e+25 3.29708048e+25 2.35066814e+25 1.65494462e+25 1.14716831e+25 7.79905557e+24 5.17391185e+24 3.32718048e+24 2.05653378e+24 1.20924125e+24 6.68677656e+23 3.44043805e+23 1.63654247e+23 7.20828472e+22 2.97173284e+22 1.16683450e+22 4.44741675e+21 1.67303215e+21 6.28759018e+20 2.37881809e+20 9.09444152e+19 3.51639099e+19 1.37351492e+19 5.40787011e+18 2.14087130e+18 8.50287505e+17 3.38259495e+17 1.34654062e+17 5.36127566e+16 2.13461765e+16 8.49880539e+15 3.38362781e+15 1.34709516e+15 5.36300488e+14 2.13508146e+14 8.49998975e+13 3.38392643e+13 1.34717034e+13 5.36319447e+12 2.13512961e+12 8.50011415e+11 3.38395974e+11 1.34718003e+11 5.36322725e+10 2.13514313e+10 8.50018144e+09 3.38399771e+09 1.34720283e+09 5.36336832e+08 2.13523141e+08 8.50073660e+07 3.38434754e+07 1.34742345e+07 5.36475963e+06 2.13610902e+06 8.50627219e+05 3.38783865e+05 1.34962480e+05 5.37863683e+04 2.14485380e+04 8.56135096e+03 3.42250835e+03 1.37143171e+03 5.51569516e+02 2.23094999e+02 9.10234455e+01 3.76327760e+01 1.58763759e+01 6.91091190e+00 3.16320068e+00 1.57343223e+00 8.95384307e-01 6.15351191e-01 5.17758156e-01 5.09638801e-01 7.13965911e+26 5.33180176e+26 3.96559813e+26 2.93585847e+26 2.16198215e+26 1.58229581e+26 1.14967896e+26 8.28189171e+25 5.90461141e+25 4.15703294e+25 2.88155652e+25 1.95903419e+25 1.29962790e+25 8.35749950e+24 5.16577929e+24 3.03747668e+24 1.67964233e+24 8.64198965e+23 4.11080883e+23 1.81063926e+23 7.46465540e+22 2.93095574e+22 1.11714058e+22 4.20246675e+21 1.57937125e+21 5.97532087e+20 2.28442043e+20 8.83277482e+19 3.45011350e+19 1.35839555e+19 5.37762556e+18 2.13582565e+18 8.49669436e+17 3.38235712e+17 1.34669156e+17 5.36191710e+16 2.13480339e+16 8.49928874e+15 3.38375004e+15 1.34712590e+15 5.36308207e+14 2.13510084e+14 8.50003851e+13 3.38393867e+13 1.34717340e+13 5.36320219e+12 2.13513157e+12 8.50011895e+11 3.38396096e+11 1.34718034e+11 5.36322801e+10 2.13514334e+10 8.50018192e+09 3.38399780e+09 1.34720288e+09 5.36336837e+08 2.13523143e+08 8.50073669e+07 3.38434758e+07 1.34742343e+07 5.36475960e+06 2.13610904e+06 8.50627215e+05 3.38783868e+05 1.34962481e+05 5.37863677e+04 2.14485380e+04 8.56135093e+03 3.42250836e+03 1.37143172e+03 5.51569511e+02 2.23094998e+02 9.10234451e+01 3.76327760e+01 1.58763761e+01 6.91091192e+00 3.16320070e+00 1.57343219e+00 8.95384317e-01 6.15351181e-01 5.17758163e-01 1.79340128e+27 1.33928805e+27 9.96113215e+26 7.37454305e+26 5.43065363e+26 3.97454738e+26 2.88786298e+26 2.08031714e+26 1.48317133e+26 1.04419946e+26 7.23814272e+25 4.92087139e+25 3.26451768e+25 2.09930896e+25 1.29758509e+25 7.62979645e+24 4.21907078e+24 2.17076965e+24 1.03258849e+24 4.54812019e+23 1.87503666e+23 7.36222795e+22 2.80613026e+22 1.05561192e+22 3.96720120e+21 1.50093274e+21 5.73820467e+20 2.21869272e+20 8.66629329e+19 3.41213536e+19 1.35079847e+19 5.36495146e+18 2.13427313e+18 8.49609694e+17 3.38273625e+17 1.34685268e+17 5.36238366e+16 2.13492480e+16 8.49959578e+15 3.38382726e+15 1.34714529e+15 5.36313073e+14 2.13511308e+14 8.50006928e+13 3.38394636e+13 1.34717534e+13 5.36320712e+12 2.13513278e+12 8.50012201e+11 3.38396175e+11 1.34718053e+11 5.36322853e+10 2.13514346e+10 8.50018216e+09 3.38399791e+09 1.34720289e+09 5.36336843e+08 2.13523146e+08 8.50073680e+07 3.38434753e+07 1.34742342e+07 5.36475967e+06 2.13610903e+06 8.50627223e+05 3.38783871e+05 1.34962479e+05 5.37863677e+04 2.14485379e+04 8.56135096e+03 3.42250838e+03 1.37143170e+03 5.51569510e+02 2.23094997e+02 9.10234450e+01 3.76327764e+01 1.58763761e+01 6.91091197e+00 3.16320064e+00 1.57343221e+00 8.95384302e-01 6.15351190e-01 4.50482035e+27 3.36413948e+27 2.50212327e+27 1.85240146e+27 1.36411852e+27 9.98361163e+26 7.25398382e+26 5.22552040e+26 3.72555794e+26 2.62291047e+26 1.81813925e+26 1.23606701e+26 8.20009767e+25 5.27322569e+25 3.25938638e+25 1.91651822e+25 1.05978267e+25 5.45272684e+24 2.59374502e+24 1.14243614e+24 4.70987915e+23 1.84930805e+23 7.04868053e+22 2.65157726e+22 9.96515887e+21 3.77017259e+21 1.44137185e+21 5.57310415e+20 2.17687445e+20 8.57089652e+19 3.39305235e+19 1.34761488e+19 5.36105171e+18 2.13412306e+18 8.49704928e+17 3.38314097e+17 1.34696987e+17 5.36268863e+16 2.13500192e+16 8.49978973e+15 3.38387596e+15 1.34715752e+15 5.36316150e+14 2.13512081e+14 8.50008858e+13 3.38395123e+13 1.34717658e+13 5.36321015e+12 2.13513354e+12 8.50012401e+11 3.38396223e+11 1.34718066e+11 5.36322884e+10 2.13514352e+10 8.50018242e+09 3.38399794e+09 1.34720291e+09 5.36336849e+08 2.13523148e+08 8.50073667e+07 3.38434751e+07 1.34742344e+07 5.36475964e+06 2.13610905e+06 8.50627229e+05 3.38783867e+05 1.34962480e+05 5.37863675e+04 2.14485380e+04 8.56135102e+03 3.42250835e+03 1.37143170e+03 5.51569508e+02 2.23094997e+02 9.10234461e+01 3.76327765e+01 1.58763763e+01 6.91091182e+00 3.16320067e+00 1.57343219e+00 8.95384315e-01 1.13155971e+28 8.45033631e+27 6.28504949e+27 4.65302210e+27 3.42651080e+27 2.50776986e+27 1.82211835e+27 1.31259138e+27 9.35817843e+26 6.58845321e+26 4.56695931e+26 3.10485994e+26 2.05977141e+26 1.32457441e+26 8.18720842e+25 4.81407611e+25 2.66205370e+25 1.36966306e+25 6.51519294e+24 2.86966984e+24 1.18306815e+24 4.64525180e+23 1.77054850e+23 6.66046094e+22 2.50313474e+22 9.47024537e+21 3.62056238e+21 1.39990047e+21 5.46806140e+20 2.15291187e+20 8.52296215e+19 3.38505552e+19 1.34663530e+19 5.36067476e+18 2.13436228e+18 8.49806590e+17 3.38343535e+17 1.34704648e+17 5.36288236e+16 2.13505064e+16 8.49991207e+15 3.38390666e+15 1.34716524e+15 5.36318091e+14 2.13512566e+14 8.50010081e+13 3.38395433e+13 1.34717734e+13 5.36321207e+12 2.13513405e+12 8.50012521e+11 3.38396256e+11 1.34718074e+11 5.36322898e+10 2.13514358e+10 8.50018252e+09 3.38399798e+09 1.34720292e+09 5.36336856e+08 2.13523145e+08 8.50073662e+07 3.38434756e+07 1.34742343e+07 5.36475969e+06 2.13610907e+06 8.50627219e+05 3.38783867e+05 1.34962479e+05 5.37863677e+04 2.14485382e+04 8.56135094e+03 3.42250835e+03 1.37143169e+03 5.51569508e+02 2.23095000e+02 9.10234462e+01 3.76327768e+01 1.58763759e+01 6.91091189e+00 3.16320062e+00 1.57343221e+00 # # uncertainties in the thermally averaged relativistic Gaunt factors 1.3553e-03 1.0377e-03 8.1350e-04 6.2356e-04 5.0788e-04 3.8440e-04 2.9260e-04 2.3607e-04 1.9321e-04 1.5044e-04 1.1369e-04 9.5441e-05 6.2341e-05 6.0400e-05 4.4871e-05 3.3727e-05 3.0123e-05 2.2766e-05 1.9785e-05 1.8173e-05 1.6576e-05 1.5433e-05 1.4630e-05 1.4843e-05 1.4735e-05 1.5069e-05 1.4954e-05 1.6182e-05 1.5754e-05 1.5660e-05 1.5587e-05 1.5527e-05 1.5501e-05 1.5495e-05 1.5480e-05 1.5477e-05 1.5477e-05 1.5465e-05 1.5464e-05 1.5471e-05 1.5467e-05 1.5463e-05 1.5468e-05 1.5457e-05 1.5457e-05 1.5456e-05 1.5473e-05 1.5457e-05 1.5455e-05 1.5453e-05 1.5456e-05 1.5470e-05 1.5467e-05 1.5465e-05 1.5457e-05 1.5459e-05 1.5461e-05 1.5476e-05 1.5481e-05 1.5460e-05 1.5446e-05 1.5463e-05 1.5457e-05 1.5459e-05 1.5471e-05 1.5458e-05 1.5465e-05 1.5459e-05 1.5463e-05 1.5466e-05 1.5467e-05 1.5463e-05 1.5459e-05 1.5451e-05 1.5468e-05 1.5461e-05 1.5473e-05 1.5455e-05 1.5468e-05 1.5446e-05 1.5461e-05 1.3079e-03 1.0188e-03 6.8389e-04 6.0583e-04 4.3619e-04 3.6582e-04 2.9529e-04 2.4281e-04 1.9050e-04 1.5407e-04 1.1686e-04 9.2222e-05 7.5587e-05 5.6042e-05 4.3206e-05 3.5153e-05 2.5803e-05 2.4328e-05 1.9714e-05 1.7637e-05 1.6098e-05 1.6475e-05 1.5034e-05 1.5021e-05 1.5440e-05 1.5056e-05 1.5843e-05 1.4875e-05 1.4729e-05 1.4662e-05 1.5213e-05 1.5147e-05 1.5118e-05 1.5109e-05 1.5093e-05 1.5088e-05 1.5088e-05 1.5076e-05 1.5074e-05 1.5082e-05 1.5077e-05 1.5073e-05 1.5078e-05 1.5067e-05 1.5067e-05 1.5066e-05 1.5083e-05 1.5067e-05 1.5065e-05 1.5063e-05 1.5066e-05 1.5080e-05 1.5077e-05 1.5075e-05 1.5067e-05 1.5069e-05 1.5071e-05 1.5086e-05 1.5091e-05 1.5070e-05 1.5056e-05 1.5073e-05 1.5067e-05 1.5069e-05 1.5081e-05 1.5068e-05 1.5075e-05 1.5069e-05 1.5073e-05 1.5075e-05 1.5077e-05 1.5073e-05 1.5068e-05 1.5061e-05 1.5078e-05 1.5071e-05 1.5083e-05 1.5064e-05 1.5078e-05 1.5056e-05 1.5071e-05 1.2897e-03 1.0442e-03 7.9070e-04 6.2232e-04 4.8467e-04 3.9266e-04 3.0073e-04 2.4039e-04 1.9011e-04 1.2835e-04 1.1264e-04 8.3445e-05 7.2808e-05 5.5358e-05 4.4175e-05 3.4635e-05 2.8692e-05 1.9998e-05 2.1449e-05 1.6625e-05 1.5791e-05 1.5877e-05 1.6525e-05 1.5689e-05 1.5364e-05 1.5805e-05 1.5249e-05 1.4670e-05 1.4557e-05 1.4511e-05 1.4466e-05 1.4423e-05 1.4408e-05 1.4955e-05 1.4940e-05 1.4936e-05 1.4936e-05 1.4924e-05 1.4923e-05 1.4931e-05 1.4926e-05 1.4922e-05 1.4927e-05 1.4917e-05 1.4916e-05 1.4916e-05 1.4932e-05 1.4916e-05 1.4915e-05 1.4912e-05 1.4915e-05 1.4929e-05 1.4926e-05 1.4925e-05 1.4916e-05 1.4918e-05 1.4920e-05 1.4935e-05 1.4940e-05 1.4919e-05 1.4905e-05 1.4922e-05 1.4916e-05 1.4918e-05 1.4930e-05 1.4917e-05 1.4924e-05 1.4918e-05 1.4922e-05 1.4925e-05 1.4926e-05 1.4923e-05 1.4918e-05 1.4911e-05 1.4927e-05 1.4920e-05 1.4932e-05 1.4914e-05 1.4927e-05 1.4905e-05 1.4920e-05 1.2890e-03 8.7046e-04 7.8647e-04 5.5536e-04 4.6736e-04 3.5276e-04 2.8220e-04 2.2239e-04 1.7994e-04 1.4684e-04 1.1839e-04 9.0070e-05 7.5743e-05 5.4717e-05 4.3285e-05 3.4247e-05 2.7925e-05 2.2557e-05 1.7971e-05 1.7017e-05 1.4741e-05 1.5430e-05 1.5030e-05 1.4728e-05 1.4306e-05 1.5115e-05 1.4723e-05 1.3908e-05 1.3755e-05 1.3684e-05 1.3622e-05 1.3568e-05 1.4997e-05 1.4986e-05 1.4970e-05 1.4965e-05 1.4964e-05 1.4952e-05 1.4950e-05 1.4957e-05 1.4953e-05 1.4949e-05 1.4954e-05 1.4943e-05 1.4943e-05 1.4942e-05 1.4958e-05 1.4943e-05 1.4941e-05 1.4939e-05 1.4942e-05 1.4955e-05 1.4953e-05 1.4951e-05 1.4943e-05 1.4945e-05 1.4947e-05 1.4962e-05 1.4966e-05 1.4946e-05 1.4932e-05 1.4948e-05 1.4943e-05 1.4945e-05 1.4956e-05 1.4944e-05 1.4950e-05 1.4945e-05 1.4949e-05 1.4951e-05 1.4952e-05 1.4949e-05 1.4944e-05 1.4938e-05 1.4954e-05 1.4947e-05 1.4958e-05 1.4941e-05 1.4954e-05 1.4932e-05 1.4947e-05 1.2211e-03 1.0062e-03 8.4192e-04 5.8554e-04 4.9238e-04 3.7162e-04 3.0174e-04 2.3184e-04 1.8498e-04 1.4001e-04 9.8628e-05 8.6764e-05 6.4247e-05 5.5077e-05 4.2167e-05 3.5032e-05 2.8494e-05 2.0856e-05 1.9324e-05 1.5837e-05 1.5220e-05 1.5595e-05 1.4203e-05 1.4006e-05 1.5147e-05 1.5065e-05 1.5085e-05 1.5416e-05 1.5226e-05 1.5131e-05 1.5416e-05 1.5286e-05 1.5264e-05 1.5259e-05 1.5246e-05 1.5244e-05 1.5244e-05 1.5233e-05 1.5232e-05 1.5239e-05 1.5235e-05 1.5232e-05 1.5236e-05 1.5226e-05 1.5226e-05 1.5225e-05 1.5240e-05 1.5226e-05 1.5224e-05 1.5222e-05 1.5225e-05 1.5238e-05 1.5235e-05 1.5234e-05 1.5226e-05 1.5227e-05 1.5229e-05 1.5244e-05 1.5248e-05 1.5229e-05 1.5216e-05 1.5231e-05 1.5226e-05 1.5228e-05 1.5238e-05 1.5227e-05 1.5233e-05 1.5227e-05 1.5231e-05 1.5234e-05 1.5235e-05 1.5232e-05 1.5227e-05 1.5221e-05 1.5236e-05 1.5230e-05 1.5241e-05 1.5224e-05 1.5236e-05 1.5216e-05 1.5230e-05 1.2598e-03 9.4553e-04 6.7092e-04 5.9011e-04 4.8790e-04 3.7788e-04 2.5151e-04 2.1996e-04 1.7443e-04 1.5258e-04 1.0881e-04 8.7292e-05 6.6649e-05 5.4260e-05 4.1669e-05 2.9708e-05 2.7405e-05 2.4026e-05 1.8347e-05 1.7175e-05 1.4473e-05 1.5412e-05 1.4589e-05 1.4789e-05 1.4723e-05 1.3752e-05 1.3768e-05 1.3776e-05 1.3931e-05 1.3881e-05 1.3834e-05 1.4211e-05 1.4193e-05 1.4192e-05 1.4181e-05 1.4179e-05 1.4180e-05 1.4170e-05 1.4169e-05 1.4177e-05 1.4173e-05 1.4169e-05 1.4174e-05 1.4164e-05 1.4164e-05 1.4163e-05 1.4179e-05 1.4163e-05 1.4162e-05 1.4159e-05 1.4162e-05 1.4176e-05 1.4173e-05 1.4172e-05 1.4164e-05 1.4165e-05 1.4167e-05 1.4182e-05 1.4186e-05 1.4166e-05 1.4153e-05 1.4169e-05 1.4163e-05 1.4166e-05 1.4177e-05 1.4164e-05 1.4171e-05 1.4165e-05 1.4169e-05 1.4172e-05 1.4173e-05 1.4170e-05 1.4165e-05 1.4158e-05 1.4174e-05 1.4167e-05 1.4179e-05 1.4161e-05 1.4174e-05 1.4153e-05 1.4167e-05 1.0949e-03 1.0375e-03 7.3748e-04 6.4867e-04 4.7117e-04 3.6296e-04 2.8174e-04 2.3230e-04 1.8027e-04 1.4176e-04 1.1386e-04 8.7388e-05 6.6766e-05 4.9722e-05 4.3539e-05 3.2159e-05 2.3649e-05 2.1557e-05 1.8951e-05 1.6175e-05 1.5362e-05 1.4554e-05 1.4539e-05 1.4212e-05 1.4733e-05 1.5064e-05 1.4217e-05 1.3608e-05 1.3502e-05 1.4761e-05 1.4677e-05 1.4612e-05 1.4582e-05 1.4573e-05 1.4557e-05 1.4552e-05 1.4551e-05 1.4540e-05 1.4538e-05 1.4545e-05 1.4541e-05 1.4537e-05 1.4542e-05 1.4532e-05 1.4531e-05 1.4531e-05 1.4546e-05 1.4531e-05 1.4530e-05 1.4527e-05 1.4530e-05 1.4543e-05 1.4540e-05 1.4539e-05 1.4531e-05 1.4533e-05 1.4535e-05 1.4549e-05 1.4553e-05 1.4534e-05 1.4521e-05 1.4536e-05 1.4531e-05 1.4533e-05 1.4544e-05 1.4532e-05 1.4538e-05 1.4533e-05 1.4537e-05 1.4539e-05 1.4540e-05 1.4537e-05 1.4533e-05 1.4526e-05 1.4541e-05 1.4535e-05 1.4546e-05 1.4529e-05 1.4541e-05 1.4521e-05 1.4535e-05 1.2259e-03 9.6719e-04 7.3696e-04 5.9747e-04 4.5516e-04 3.4223e-04 2.9286e-04 2.2469e-04 1.6748e-04 1.2143e-04 1.1022e-04 8.0512e-05 6.7090e-05 5.2083e-05 4.1956e-05 3.2526e-05 2.8074e-05 1.9782e-05 1.8749e-05 1.6179e-05 1.5533e-05 1.5397e-05 1.4554e-05 1.4559e-05 1.4120e-05 1.4249e-05 1.3893e-05 1.4419e-05 1.4216e-05 1.4114e-05 1.4036e-05 1.3975e-05 1.3948e-05 1.3940e-05 1.3925e-05 1.3921e-05 1.3921e-05 1.3910e-05 1.3908e-05 1.3915e-05 1.3911e-05 1.3907e-05 1.3912e-05 1.3902e-05 1.3902e-05 1.3901e-05 1.3916e-05 1.3901e-05 1.3900e-05 1.3897e-05 1.3900e-05 1.3913e-05 1.3911e-05 1.3909e-05 1.3902e-05 1.3903e-05 1.3905e-05 1.3920e-05 1.3924e-05 1.3904e-05 1.3891e-05 1.3907e-05 1.3901e-05 1.3904e-05 1.3914e-05 1.3902e-05 1.3909e-05 1.3903e-05 1.3907e-05 1.3909e-05 1.3911e-05 1.3908e-05 1.3903e-05 1.3896e-05 1.3912e-05 1.3905e-05 1.3916e-05 1.3899e-05 1.3912e-05 1.3891e-05 1.3905e-05 1.1533e-03 8.2456e-04 7.9966e-04 5.4565e-04 4.7895e-04 3.5065e-04 2.7921e-04 2.1671e-04 1.8013e-04 1.3728e-04 1.0855e-04 8.2076e-05 6.7267e-05 5.2735e-05 3.8627e-05 3.3655e-05 2.4541e-05 1.9498e-05 1.7128e-05 1.5069e-05 1.5302e-05 1.4283e-05 1.4088e-05 1.4649e-05 1.3618e-05 1.3796e-05 1.3471e-05 1.3294e-05 1.4107e-05 1.4478e-05 1.4391e-05 1.4324e-05 1.4293e-05 1.4282e-05 1.4265e-05 1.4260e-05 1.4258e-05 1.4247e-05 1.4245e-05 1.4252e-05 1.4248e-05 1.4245e-05 1.4249e-05 1.4239e-05 1.4239e-05 1.4238e-05 1.4253e-05 1.4239e-05 1.4237e-05 1.4235e-05 1.4238e-05 1.4250e-05 1.4248e-05 1.4246e-05 1.4239e-05 1.4240e-05 1.4242e-05 1.4256e-05 1.4260e-05 1.4241e-05 1.4229e-05 1.4244e-05 1.4239e-05 1.4241e-05 1.4251e-05 1.4239e-05 1.4246e-05 1.4240e-05 1.4244e-05 1.4246e-05 1.4247e-05 1.4244e-05 1.4240e-05 1.4234e-05 1.4249e-05 1.4242e-05 1.4253e-05 1.4237e-05 1.4248e-05 1.4229e-05 1.4242e-05 1.2160e-03 9.3580e-04 7.3348e-04 5.6818e-04 4.5857e-04 3.6374e-04 2.5843e-04 2.2412e-04 1.7305e-04 1.3406e-04 9.8020e-05 8.5207e-05 6.3989e-05 5.3523e-05 3.9754e-05 3.2401e-05 2.6873e-05 2.1370e-05 1.7605e-05 1.6255e-05 1.3650e-05 1.3266e-05 1.3470e-05 1.3672e-05 1.3651e-05 1.3422e-05 1.3293e-05 1.4294e-05 1.3945e-05 1.3861e-05 1.3794e-05 1.3739e-05 1.3716e-05 1.3710e-05 1.3697e-05 1.3694e-05 1.3693e-05 1.3683e-05 1.3682e-05 1.3689e-05 1.3685e-05 1.3681e-05 1.3686e-05 1.3676e-05 1.3676e-05 1.3675e-05 1.3690e-05 1.3676e-05 1.3674e-05 1.3672e-05 1.3675e-05 1.3687e-05 1.3685e-05 1.3683e-05 1.3676e-05 1.3677e-05 1.3679e-05 1.3693e-05 1.3697e-05 1.3678e-05 1.3666e-05 1.3681e-05 1.3676e-05 1.3678e-05 1.3688e-05 1.3676e-05 1.3683e-05 1.3677e-05 1.3681e-05 1.3683e-05 1.3685e-05 1.3682e-05 1.3677e-05 1.3671e-05 1.3686e-05 1.3679e-05 1.3690e-05 1.3674e-05 1.3686e-05 1.3666e-05 1.3679e-05 1.1791e-03 9.6543e-04 6.9436e-04 5.6075e-04 4.2034e-04 3.5725e-04 2.6581e-04 2.0988e-04 1.6671e-04 1.3822e-04 1.0371e-04 8.2626e-05 6.3023e-05 5.0572e-05 4.0862e-05 3.4780e-05 2.2965e-05 1.9465e-05 1.7526e-05 1.5096e-05 1.4401e-05 1.3799e-05 1.3298e-05 1.3019e-05 1.3348e-05 1.2663e-05 1.3914e-05 1.3690e-05 1.3570e-05 1.3840e-05 1.3769e-05 1.3713e-05 1.3688e-05 1.3681e-05 1.3667e-05 1.3664e-05 1.3663e-05 1.3653e-05 1.3651e-05 1.3658e-05 1.3654e-05 1.3651e-05 1.3655e-05 1.3645e-05 1.3645e-05 1.3645e-05 1.3659e-05 1.3645e-05 1.3644e-05 1.3641e-05 1.3644e-05 1.3656e-05 1.3654e-05 1.3653e-05 1.3645e-05 1.3647e-05 1.3648e-05 1.3662e-05 1.3666e-05 1.3648e-05 1.3635e-05 1.3650e-05 1.3645e-05 1.3647e-05 1.3657e-05 1.3646e-05 1.3652e-05 1.3647e-05 1.3650e-05 1.3653e-05 1.3654e-05 1.3651e-05 1.3646e-05 1.3640e-05 1.3655e-05 1.3649e-05 1.3659e-05 1.3643e-05 1.3655e-05 1.3635e-05 1.3649e-05 1.1247e-03 9.4394e-04 7.2663e-04 5.6904e-04 4.0805e-04 3.5269e-04 2.7619e-04 2.3630e-04 1.6280e-04 1.3280e-04 1.1101e-04 7.2897e-05 6.4955e-05 4.8116e-05 3.9460e-05 3.0668e-05 2.5303e-05 1.7846e-05 1.8082e-05 1.4767e-05 1.4532e-05 1.4250e-05 1.3909e-05 1.3851e-05 1.3817e-05 1.4474e-05 1.3984e-05 1.2904e-05 1.2796e-05 1.2881e-05 1.2825e-05 1.2776e-05 1.2757e-05 1.2754e-05 1.2742e-05 1.2740e-05 1.2741e-05 1.2731e-05 1.2729e-05 1.2737e-05 1.2733e-05 1.2729e-05 1.2734e-05 1.2724e-05 1.2724e-05 1.2723e-05 1.2738e-05 1.2724e-05 1.2722e-05 1.2720e-05 1.2723e-05 1.2735e-05 1.2733e-05 1.2732e-05 1.2724e-05 1.2725e-05 1.2727e-05 1.2741e-05 1.2745e-05 1.2726e-05 1.2714e-05 1.2729e-05 1.2724e-05 1.2726e-05 1.2736e-05 1.2724e-05 1.2731e-05 1.2725e-05 1.2729e-05 1.2732e-05 1.2733e-05 1.2730e-05 1.2725e-05 1.2719e-05 1.2734e-05 1.2727e-05 1.2738e-05 1.2722e-05 1.2734e-05 1.2714e-05 1.2728e-05 1.1781e-03 9.1102e-04 6.9017e-04 5.1009e-04 4.2059e-04 3.4010e-04 2.7500e-04 2.0153e-04 1.6484e-04 1.3045e-04 1.0520e-04 7.9585e-05 6.5925e-05 4.8154e-05 3.9605e-05 3.0329e-05 2.4689e-05 2.0319e-05 1.5886e-05 1.5053e-05 1.3163e-05 1.4049e-05 1.3399e-05 1.2878e-05 1.3466e-05 1.2402e-05 1.3279e-05 1.3029e-05 1.2891e-05 1.2825e-05 1.2770e-05 1.2723e-05 1.2704e-05 1.2701e-05 1.2689e-05 1.2687e-05 1.2687e-05 1.2678e-05 1.2676e-05 1.2684e-05 1.2680e-05 1.2676e-05 1.2681e-05 1.2671e-05 1.2671e-05 1.2670e-05 1.2685e-05 1.2671e-05 1.2669e-05 1.2667e-05 1.2670e-05 1.2682e-05 1.2680e-05 1.2678e-05 1.2671e-05 1.2672e-05 1.2674e-05 1.2688e-05 1.2692e-05 1.2674e-05 1.2661e-05 1.2676e-05 1.2671e-05 1.2673e-05 1.2683e-05 1.2672e-05 1.2678e-05 1.2672e-05 1.2676e-05 1.2679e-05 1.2680e-05 1.2677e-05 1.2672e-05 1.2666e-05 1.2681e-05 1.2674e-05 1.2685e-05 1.2669e-05 1.2681e-05 1.2661e-05 1.2675e-05 1.1267e-03 8.7535e-04 7.2428e-04 4.7317e-04 4.3307e-04 3.1416e-04 2.7043e-04 2.1419e-04 1.7898e-04 1.2398e-04 8.7640e-05 7.8928e-05 5.7966e-05 4.8252e-05 3.3433e-05 3.2920e-05 2.5213e-05 1.8489e-05 1.6820e-05 1.4257e-05 1.3589e-05 1.2757e-05 1.2539e-05 1.2721e-05 1.2787e-05 1.3200e-05 1.3226e-05 1.2988e-05 1.2861e-05 1.2802e-05 1.2751e-05 1.2708e-05 1.2691e-05 1.2689e-05 1.2678e-05 1.2677e-05 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