# # # 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) 9 # 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. # 1.49397270e+03 1.17496638e+03 9.23984780e+02 7.26540666e+02 5.71228715e+02 4.49070130e+02 3.52997862e+02 2.77449841e+02 2.18049771e+02 1.71355739e+02 1.34663819e+02 1.05854909e+02 8.32771753e+01 6.56570571e+01 5.20309957e+01 4.16854143e+01 3.40862083e+01 2.87866988e+01 2.53379275e+01 2.32595586e+01 2.20915898e+01 2.14671680e+01 2.11410879e+01 2.09705009e+01 2.08793928e+01 2.08292164e+01 2.08006654e+01 2.07839434e+01 2.07739205e+01 2.07678104e+01 2.07640411e+01 2.07616972e+01 2.07602321e+01 2.07593131e+01 2.07587357e+01 2.07583723e+01 2.07581431e+01 2.07579984e+01 2.07579073e+01 2.07578503e+01 2.07578142e+01 2.07577912e+01 2.07577770e+01 2.07577676e+01 2.07577618e+01 2.07577583e+01 2.07577560e+01 2.07577544e+01 2.07577536e+01 2.07577531e+01 2.07577526e+01 2.07577523e+01 2.07577524e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577520e+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 1.47919498e+03 1.16322793e+03 9.14660638e+02 7.19134295e+02 5.65345553e+02 4.44396970e+02 3.49285811e+02 2.74501235e+02 2.15707447e+02 1.69494942e+02 1.33185260e+02 1.04679564e+02 8.23418552e+01 6.49108733e+01 5.14324343e+01 4.11998623e+01 3.36842519e+01 2.84433893e+01 2.50329455e+01 2.29777462e+01 2.18228140e+01 2.12053659e+01 2.08829287e+01 2.07142397e+01 2.06241468e+01 2.05745270e+01 2.05462962e+01 2.05297601e+01 2.05198481e+01 2.05138049e+01 2.05100773e+01 2.05077592e+01 2.05063104e+01 2.05054015e+01 2.05048305e+01 2.05044711e+01 2.05042445e+01 2.05041013e+01 2.05040113e+01 2.05039549e+01 2.05039191e+01 2.05038964e+01 2.05038824e+01 2.05038731e+01 2.05038674e+01 2.05038640e+01 2.05038617e+01 2.05038601e+01 2.05038593e+01 2.05038588e+01 2.05038583e+01 2.05038580e+01 2.05038580e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038578e+01 2.05038576e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038579e+01 2.05038580e+01 2.05038577e+01 2.05038575e+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 1.46441715e+03 1.15148959e+03 9.05336325e+02 7.11727831e+02 5.59462338e+02 4.39723815e+02 3.45573782e+02 2.71552567e+02 2.13365153e+02 1.67634140e+02 1.31706743e+02 1.03504213e+02 8.14065147e+01 6.41646896e+01 5.08338700e+01 4.07143055e+01 3.32823111e+01 2.81000793e+01 2.47279686e+01 2.26959292e+01 2.15540359e+01 2.09435618e+01 2.06247661e+01 2.04579787e+01 2.03688988e+01 2.03198385e+01 2.02919245e+01 2.02755738e+01 2.02657728e+01 2.02597978e+01 2.02561119e+01 2.02538198e+01 2.02523858e+01 2.02514871e+01 2.02509225e+01 2.02505671e+01 2.02503430e+01 2.02502015e+01 2.02501124e+01 2.02500566e+01 2.02500213e+01 2.02499988e+01 2.02499849e+01 2.02499758e+01 2.02499701e+01 2.02499667e+01 2.02499645e+01 2.02499629e+01 2.02499621e+01 2.02499616e+01 2.02499611e+01 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3.34437614e+02 2.62706624e+02 2.06338198e+02 1.62051721e+02 1.27271061e+02 9.99781841e+01 7.86005226e+01 6.19261370e+01 4.90381604e+01 3.92576329e+01 3.20764650e+01 2.70701668e+01 2.38130288e+01 2.18504861e+01 2.07477030e+01 2.01581513e+01 1.98502784e+01 1.96891985e+01 1.96031623e+01 1.95557746e+01 1.95288119e+01 1.95130170e+01 1.95035473e+01 1.94977753e+01 1.94942141e+01 1.94919998e+01 1.94906157e+01 1.94897475e+01 1.94892021e+01 1.94888587e+01 1.94886423e+01 1.94885055e+01 1.94884195e+01 1.94883656e+01 1.94883315e+01 1.94883098e+01 1.94882963e+01 1.94882875e+01 1.94882820e+01 1.94882788e+01 1.94882766e+01 1.94882750e+01 1.94882743e+01 1.94882738e+01 1.94882733e+01 1.94882731e+01 1.94882731e+01 1.94882729e+01 1.94882728e+01 1.94882729e+01 1.94882728e+01 1.94882729e+01 1.94882729e+01 1.94882727e+01 1.94882729e+01 1.94882728e+01 1.94882728e+01 1.94882729e+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 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8.15553979e-01 5.46971314e-01 4.50492154e-01 4.38302093e-01 4.71446495e-01 5.31440550e-01 6.08160290e-01 6.94488838e-01 7.83969499e-01 1.39078877e+25 1.03498634e+25 7.66714645e+24 5.65021714e+24 4.13872469e+24 3.01013123e+24 2.17094742e+24 1.54997580e+24 1.09310677e+24 7.59313243e+23 5.17568113e+23 3.44470075e+23 2.22411773e+23 1.38155995e+23 8.17203091e+22 4.54964311e+22 2.35732960e+22 1.12816682e+22 4.98671123e+21 2.05482607e+21 8.02519851e+20 3.02817820e+20 1.12335810e+20 4.15253408e+19 1.54359996e+19 5.80079545e+18 2.20863913e+18 8.51869456e+17 3.32249787e+17 1.30698702e+17 5.17134605e+16 2.05323508e+16 8.16652547e+15 3.25052818e+15 1.29410543e+15 5.15229731e+14 2.05128339e+14 8.16661610e+13 3.25126715e+13 1.29437263e+13 5.15304046e+12 2.05147515e+12 8.16710312e+11 3.25139144e+11 1.29440504e+11 5.15312945e+10 2.05150229e+10 8.16720136e+09 3.25143521e+09 1.29442807e+09 5.15326308e+08 2.05158371e+08 8.16770796e+07 3.25175294e+07 1.29462806e+07 5.15452374e+06 2.05237868e+06 8.17272171e+05 3.25491493e+05 1.29662188e+05 5.16709303e+04 2.06029975e+04 8.22261636e+03 3.28632470e+03 1.31638082e+03 5.29129610e+02 2.13832877e+02 8.71291056e+01 3.59505253e+01 1.51204580e+01 6.55070915e+00 2.97544565e+00 1.46144205e+00 8.15553975e-01 5.46971316e-01 4.50492157e-01 4.38302089e-01 4.71446494e-01 5.31440548e-01 6.08160289e-01 6.94488846e-01 3.49350344e+25 2.59976815e+25 1.92590011e+25 1.41927038e+25 1.03960064e+25 7.56110780e+24 5.45317338e+24 3.89336318e+24 2.74576006e+24 1.90730863e+24 1.30007232e+24 8.65269708e+23 5.58673114e+23 3.47032170e+23 2.05272136e+23 1.14281868e+23 5.92134424e+22 2.83382692e+22 1.25260523e+22 5.16148974e+21 2.01583872e+21 7.60643973e+20 2.82174798e+20 1.04306940e+20 3.87734780e+19 1.45709394e+19 5.54785065e+18 2.13979933e+18 8.34573733e+17 3.28300296e+17 1.29898340e+17 5.15749333e+16 2.05133845e+16 8.16495759e+15 3.25064585e+15 1.29419856e+15 5.15259083e+14 2.05136117e+14 8.16681350e+13 3.25131685e+13 1.29438511e+13 5.15307176e+12 2.05148303e+12 8.16712277e+11 3.25139640e+11 1.29440630e+11 5.15313258e+10 2.05150306e+10 8.16720339e+09 3.25143572e+09 1.29442818e+09 5.15326338e+08 2.05158381e+08 8.16770809e+07 3.25175299e+07 1.29462808e+07 5.15452376e+06 2.05237870e+06 8.17272173e+05 3.25491491e+05 1.29662189e+05 5.16709301e+04 2.06029976e+04 8.22261640e+03 3.28632473e+03 1.31638080e+03 5.29129607e+02 2.13832880e+02 8.71291051e+01 3.59505255e+01 1.51204581e+01 6.55070907e+00 2.97544565e+00 1.46144205e+00 8.15553978e-01 5.46971319e-01 4.50492153e-01 4.38302088e-01 4.71446492e-01 5.31440547e-01 6.08160296e-01 8.77528390e+25 6.53032233e+25 4.83764236e+25 3.56504600e+25 2.61135874e+25 1.89926441e+25 1.36977522e+25 9.77968614e+24 6.89703744e+24 4.79094268e+24 3.26563402e+24 2.17345924e+24 1.40332341e+24 8.71705398e+23 5.15620292e+23 2.87063074e+23 1.48737442e+23 7.11825138e+22 3.14640208e+22 1.29650760e+22 5.06355794e+21 1.91065128e+21 7.08791046e+20 2.62007188e+20 9.73945733e+19 3.66005449e+19 1.39355708e+19 5.37493289e+18 2.09635443e+18 8.24653058e+17 3.26289877e+17 1.29550375e+17 5.15272920e+16 2.05094461e+16 8.16525318e+15 3.25087977e+15 1.29427229e+15 5.15278620e+14 2.05141075e+14 8.16693836e+13 3.25134820e+13 1.29439297e+13 5.15309158e+12 2.05148797e+12 8.16713524e+11 3.25139956e+11 1.29440708e+11 5.15313451e+10 2.05150357e+10 8.16720466e+09 3.25143601e+09 1.29442825e+09 5.15326363e+08 2.05158384e+08 8.16770820e+07 3.25175304e+07 1.29462808e+07 5.15452381e+06 2.05237871e+06 8.17272167e+05 3.25491494e+05 1.29662189e+05 5.16709303e+04 2.06029977e+04 8.22261647e+03 3.28632467e+03 1.31638079e+03 5.29129613e+02 2.13832878e+02 8.71291058e+01 3.59505258e+01 1.51204580e+01 6.55070908e+00 2.97544564e+00 1.46144205e+00 8.15553984e-01 5.46971315e-01 4.50492152e-01 4.38302086e-01 4.71446492e-01 5.31440553e-01 2.20425166e+26 1.64034281e+26 1.21516082e+26 8.95499069e+25 6.55943658e+25 4.77073650e+25 3.44071979e+25 2.45654609e+25 1.73245748e+25 1.20343039e+25 8.20290179e+24 5.45948277e+24 3.52498904e+24 2.18962496e+24 1.29517962e+24 7.21069840e+23 3.73611563e+23 1.78802391e+23 7.90340469e+22 3.25667986e+22 1.27190825e+22 4.79933901e+21 1.78040261e+21 6.58132299e+20 2.44644107e+20 9.19364122e+19 3.50045711e+19 1.35012210e+19 5.26580426e+18 2.07143483e+18 8.19603114e+17 3.25415829e+17 1.29430705e+17 5.15173994e+16 2.05101886e+16 8.16584076e+15 3.25106498e+15 1.29432136e+15 5.15291075e+14 2.05144211e+14 8.16701709e+13 3.25136794e+13 1.29439795e+13 5.15310398e+12 2.05149110e+12 8.16714317e+11 3.25140153e+11 1.29440757e+11 5.15313579e+10 2.05150389e+10 8.16720539e+09 3.25143620e+09 1.29442832e+09 5.15326371e+08 2.05158387e+08 8.16770833e+07 3.25175305e+07 1.29462810e+07 5.15452383e+06 2.05237870e+06 8.17272174e+05 3.25491493e+05 1.29662189e+05 5.16709305e+04 2.06029978e+04 8.22261633e+03 3.28632465e+03 1.31638080e+03 5.29129610e+02 2.13832880e+02 8.71291064e+01 3.59505254e+01 1.51204580e+01 6.55070906e+00 2.97544565e+00 1.46144206e+00 8.15553977e-01 5.46971314e-01 4.50492150e-01 4.38302086e-01 4.71446497e-01 5.53682982e+26 4.12035484e+26 3.05234598e+26 2.24939196e+26 1.64765598e+26 1.19835483e+26 8.64269737e+25 6.17056480e+25 4.35173643e+25 3.02288047e+25 2.06047577e+25 1.37136007e+25 8.85437215e+24 5.50008923e+24 3.25334410e+24 1.81124555e+24 9.38469817e+23 4.49131299e+23 1.98524550e+23 8.18040995e+22 3.19488907e+22 1.20553945e+22 4.47216916e+21 1.65315359e+21 6.14518214e+20 2.30933826e+20 8.79275073e+19 3.39135339e+19 1.32271023e+19 5.20320904e+18 2.05874994e+18 8.17407606e+17 3.25115233e+17 1.29405856e+17 5.15192644e+16 2.05116646e+16 8.16630597e+15 3.25118824e+15 1.29435265e+15 5.15298953e+14 2.05146189e+14 8.16706670e+13 3.25138045e+13 1.29440107e+13 5.15311185e+12 2.05149309e+12 8.16714813e+11 3.25140275e+11 1.29440789e+11 5.15313659e+10 2.05150407e+10 8.16720586e+09 3.25143635e+09 1.29442834e+09 5.15326378e+08 2.05158390e+08 8.16770836e+07 3.25175308e+07 1.29462810e+07 5.15452379e+06 2.05237871e+06 8.17272172e+05 3.25491494e+05 1.29662190e+05 5.16709310e+04 2.06029975e+04 8.22261628e+03 3.28632469e+03 1.31638080e+03 5.29129615e+02 2.13832882e+02 8.71291054e+01 3.59505254e+01 1.51204579e+01 6.55070908e+00 2.97544567e+00 1.46144205e+00 8.15553975e-01 5.46971311e-01 4.50492150e-01 4.38302091e-01 1.39078877e+27 1.03498634e+27 7.66714645e+26 5.65021714e+26 4.13872469e+26 3.01013123e+26 2.17094742e+26 1.54997580e+26 1.09310677e+26 7.59313243e+25 5.17568113e+25 3.44470075e+25 2.22411773e+25 1.38155995e+25 8.17203091e+24 4.54964311e+24 2.35732960e+24 1.12816682e+24 4.98671123e+23 2.05482607e+23 8.02519851e+22 3.02817820e+22 1.12335810e+22 4.15253408e+21 1.54359996e+21 5.80079545e+20 2.20863913e+20 8.51869455e+19 3.32249787e+19 1.30698702e+19 5.17134604e+18 2.05323507e+18 8.16652542e+17 3.25052814e+17 1.29410541e+17 5.15229718e+16 2.05128331e+16 8.16661560e+15 3.25126683e+15 1.29437243e+15 5.15303920e+14 2.05147435e+14 8.16709810e+13 3.25138827e+13 1.29440304e+13 5.15311685e+12 2.05149434e+12 8.16715119e+11 3.25140356e+11 1.29440809e+11 5.15313705e+10 2.05150419e+10 8.16720625e+09 3.25143641e+09 1.29442835e+09 5.15326386e+08 2.05158391e+08 8.16770844e+07 3.25175309e+07 1.29462809e+07 5.15452384e+06 2.05237871e+06 8.17272174e+05 3.25491496e+05 1.29662191e+05 5.16709301e+04 2.06029974e+04 8.22261637e+03 3.28632467e+03 1.31638081e+03 5.29129618e+02 2.13832879e+02 8.71291055e+01 3.59505253e+01 1.51204580e+01 6.55070912e+00 2.97544564e+00 1.46144205e+00 8.15553972e-01 5.46971311e-01 4.50492155e-01 3.49350344e+27 2.59976815e+27 1.92590011e+27 1.41927038e+27 1.03960064e+27 7.56110780e+26 5.45317338e+26 3.89336318e+26 2.74576006e+26 1.90730863e+26 1.30007232e+26 8.65269708e+25 5.58673114e+25 3.47032170e+25 2.05272136e+25 1.14281868e+25 5.92134424e+24 2.83382692e+24 1.25260523e+24 5.16148974e+23 2.01583872e+23 7.60643973e+22 2.82174798e+22 1.04306940e+22 3.87734780e+21 1.45709394e+21 5.54785065e+20 2.13979933e+20 8.34573732e+19 3.28300296e+19 1.29898340e+19 5.15749332e+18 2.05133844e+18 8.16495754e+17 3.25064582e+17 1.29419854e+17 5.15259071e+16 2.05136109e+16 8.16681300e+15 3.25131654e+15 1.29438491e+15 5.15307050e+14 2.05148224e+14 8.16711776e+13 3.25139323e+13 1.29440430e+13 5.15311998e+12 2.05149511e+12 8.16715321e+11 3.25140406e+11 1.29440821e+11 5.15313735e+10 2.05150429e+10 8.16720638e+09 3.25143645e+09 1.29442838e+09 5.15326388e+08 2.05158393e+08 8.16770846e+07 3.25175307e+07 1.29462810e+07 5.15452382e+06 2.05237871e+06 8.17272178e+05 3.25491498e+05 1.29662189e+05 5.16709297e+04 2.06029976e+04 8.22261633e+03 3.28632470e+03 1.31638082e+03 5.29129612e+02 2.13832879e+02 8.71291052e+01 3.59505254e+01 1.51204581e+01 6.55070907e+00 2.97544564e+00 1.46144204e+00 8.15553971e-01 5.46971317e-01 8.77528390e+27 6.53032233e+27 4.83764236e+27 3.56504600e+27 2.61135874e+27 1.89926441e+27 1.36977522e+27 9.77968614e+26 6.89703744e+26 4.79094268e+26 3.26563402e+26 2.17345924e+26 1.40332341e+26 8.71705398e+25 5.15620292e+25 2.87063074e+25 1.48737442e+25 7.11825138e+24 3.14640208e+24 1.29650760e+24 5.06355794e+23 1.91065128e+23 7.08791046e+22 2.62007188e+22 9.73945733e+21 3.66005449e+21 1.39355708e+21 5.37493289e+20 2.09635443e+20 8.24653058e+19 3.26289876e+19 1.29550375e+19 5.15272919e+18 2.05094461e+18 8.16525312e+17 3.25087974e+17 1.29427227e+17 5.15278607e+16 2.05141067e+16 8.16693786e+15 3.25134788e+15 1.29439277e+15 5.15309032e+14 2.05148718e+14 8.16713022e+13 3.25139639e+13 1.29440509e+13 5.15312191e+12 2.05149562e+12 8.16715449e+11 3.25140435e+11 1.29440828e+11 5.15313760e+10 2.05150432e+10 8.16720649e+09 3.25143650e+09 1.29442838e+09 5.15326393e+08 2.05158393e+08 8.16770841e+07 3.25175310e+07 1.29462810e+07 5.15452383e+06 2.05237872e+06 8.17272185e+05 3.25491493e+05 1.29662188e+05 5.16709304e+04 2.06029975e+04 8.22261640e+03 3.28632472e+03 1.31638080e+03 5.29129613e+02 2.13832879e+02 8.71291055e+01 3.59505257e+01 1.51204580e+01 6.55070905e+00 2.97544563e+00 1.46144204e+00 8.15553980e-01 # # uncertainties in the thermally averaged relativistic Gaunt factors 1.0795e-03 8.3940e-04 6.4386e-04 5.2518e-04 3.9531e-04 3.0225e-04 2.5428e-04 1.9907e-04 1.5247e-04 1.1891e-04 9.8318e-05 7.4249e-05 6.0398e-05 4.9249e-05 3.7430e-05 2.8817e-05 2.3530e-05 1.9202e-05 1.7247e-05 1.6036e-05 1.4911e-05 1.5727e-05 1.6298e-05 1.4773e-05 1.5117e-05 1.4978e-05 1.6231e-05 1.5780e-05 1.5652e-05 1.5584e-05 1.5544e-05 1.5507e-05 1.5480e-05 1.5472e-05 1.5482e-05 1.5474e-05 1.5475e-05 1.5448e-05 1.5447e-05 1.5472e-05 1.5467e-05 1.5471e-05 1.5469e-05 1.5451e-05 1.5461e-05 1.5470e-05 1.5466e-05 1.5462e-05 1.5468e-05 1.5457e-05 1.5460e-05 1.5456e-05 1.5473e-05 1.5457e-05 1.5455e-05 1.5452e-05 1.5456e-05 1.5470e-05 1.5467e-05 1.5465e-05 1.5457e-05 1.5458e-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 1.5470e-05 1.5457e-05 1.5465e-05 1.5459e-05 1.5463e-05 1.5465e-05 1.5467e-05 1.5463e-05 1.5458e-05 1.5451e-05 1.5468e-05 1.0338e-03 8.0761e-04 6.2560e-04 4.5003e-04 3.7785e-04 2.9067e-04 2.5087e-04 1.9640e-04 1.5870e-04 1.1628e-04 9.4378e-05 7.2669e-05 5.2294e-05 4.5787e-05 3.6136e-05 2.7109e-05 2.5102e-05 2.0325e-05 1.7887e-05 1.5550e-05 1.4670e-05 1.4769e-05 1.5098e-05 1.5504e-05 1.5109e-05 1.5882e-05 1.4905e-05 1.4751e-05 1.4651e-05 1.5212e-05 1.5166e-05 1.5124e-05 1.5094e-05 1.5085e-05 1.5094e-05 1.5085e-05 1.5086e-05 1.5058e-05 1.5057e-05 1.5082e-05 1.5077e-05 1.5081e-05 1.5079e-05 1.5061e-05 1.5071e-05 1.5080e-05 1.5076e-05 1.5072e-05 1.5078e-05 1.5067e-05 1.5070e-05 1.5066e-05 1.5082e-05 1.5067e-05 1.5065e-05 1.5062e-05 1.5066e-05 1.5080e-05 1.5077e-05 1.5075e-05 1.5067e-05 1.5068e-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 1.5080e-05 1.5067e-05 1.5074e-05 1.5068e-05 1.5073e-05 1.5075e-05 1.5077e-05 1.5073e-05 1.5068e-05 1.5061e-05 1.5078e-05 1.0770e-03 8.2613e-04 6.4441e-04 4.9656e-04 4.0546e-04 3.1074e-04 2.4202e-04 1.9583e-04 1.3214e-04 1.1641e-04 8.3667e-05 7.5814e-05 5.8520e-05 4.5501e-05 3.6895e-05 2.5507e-05 2.1011e-05 2.1344e-05 1.6323e-05 1.6089e-05 1.5774e-05 1.5939e-05 1.4850e-05 1.5462e-05 1.5915e-05 1.5300e-05 1.4694e-05 1.4576e-05 1.4498e-05 1.4460e-05 1.4439e-05 1.4413e-05 1.4940e-05 1.4932e-05 1.4941e-05 1.4933e-05 1.4934e-05 1.4907e-05 1.4906e-05 1.4931e-05 1.4926e-05 1.4930e-05 1.4928e-05 1.4910e-05 1.4920e-05 1.4929e-05 1.4925e-05 1.4922e-05 1.4927e-05 1.4916e-05 1.4919e-05 1.4915e-05 1.4932e-05 1.4916e-05 1.4914e-05 1.4912e-05 1.4915e-05 1.4929e-05 1.4926e-05 1.4924e-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 1.4929e-05 1.4917e-05 1.4924e-05 1.4918e-05 1.4922e-05 1.4925e-05 1.4926e-05 1.4922e-05 1.4918e-05 1.4911e-05 1.4927e-05 8.9647e-04 8.1151e-04 5.4523e-04 5.1559e-04 3.3699e-04 2.9163e-04 2.1549e-04 2.0300e-04 1.5120e-04 1.1753e-04 8.9441e-05 7.3137e-05 5.6511e-05 3.9231e-05 3.5327e-05 2.8684e-05 2.3250e-05 1.8091e-05 1.7389e-05 1.6150e-05 1.5618e-05 1.4446e-05 1.4815e-05 1.4351e-05 1.5195e-05 1.4758e-05 1.3939e-05 1.3778e-05 1.3673e-05 1.3618e-05 1.3586e-05 1.5003e-05 1.4972e-05 1.4962e-05 1.4970e-05 1.4961e-05 1.4961e-05 1.4935e-05 1.4934e-05 1.4957e-05 1.4953e-05 1.4956e-05 1.4955e-05 1.4937e-05 1.4947e-05 1.4955e-05 1.4952e-05 1.4948e-05 1.4953e-05 1.4943e-05 1.4946e-05 1.4942e-05 1.4958e-05 1.4943e-05 1.4941e-05 1.4939e-05 1.4942e-05 1.4955e-05 1.4952e-05 1.4951e-05 1.4943e-05 1.4944e-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 1.4943e-05 1.4950e-05 1.4944e-05 1.4948e-05 1.4951e-05 1.4952e-05 1.4949e-05 1.4944e-05 1.4938e-05 1.4953e-05 1.0362e-03 8.6871e-04 6.3048e-04 4.9732e-04 3.8633e-04 3.1174e-04 2.4662e-04 1.9052e-04 1.4031e-04 1.1051e-04 9.6722e-05 6.4419e-05 5.2746e-05 4.2766e-05 3.5633e-05 2.8025e-05 2.1560e-05 1.9267e-05 1.7266e-05 1.5630e-05 1.4246e-05 1.4326e-05 1.4750e-05 1.5335e-05 1.4645e-05 1.5129e-05 1.4241e-05 1.5252e-05 1.5125e-05 1.5415e-05 1.5302e-05 1.5270e-05 1.5245e-05 1.5239e-05 1.5248e-05 1.5241e-05 1.5242e-05 1.5218e-05 1.5217e-05 1.5239e-05 1.5235e-05 1.5239e-05 1.5237e-05 1.5220e-05 1.5229e-05 1.5238e-05 1.5234e-05 1.5231e-05 1.5236e-05 1.5226e-05 1.5229e-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 1.5226e-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 9.5376e-04 7.4229e-04 6.0938e-04 4.4776e-04 3.7178e-04 3.0009e-04 2.2435e-04 1.8007e-04 1.4896e-04 1.1467e-04 9.9500e-05 6.8985e-05 5.5899e-05 4.3582e-05 3.3301e-05 3.0622e-05 2.5529e-05 1.8277e-05 1.6635e-05 1.4353e-05 1.4904e-05 1.4746e-05 1.4193e-05 1.4781e-05 1.4603e-05 1.3791e-05 1.3796e-05 1.3950e-05 1.3868e-05 1.3829e-05 1.4226e-05 1.4199e-05 1.4177e-05 1.4173e-05 1.4184e-05 1.4177e-05 1.4179e-05 1.4154e-05 1.4153e-05 1.4177e-05 1.4173e-05 1.4177e-05 1.4175e-05 1.4158e-05 1.4167e-05 1.4176e-05 1.4172e-05 1.4169e-05 1.4174e-05 1.4163e-05 1.4167e-05 1.4163e-05 1.4178e-05 1.4163e-05 1.4162e-05 1.4159e-05 1.4162e-05 1.4176e-05 1.4173e-05 1.4171e-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 1.4176e-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 1.0694e-03 7.9413e-04 6.3612e-04 4.6937e-04 4.0321e-04 2.9820e-04 2.4050e-04 1.8401e-04 1.4453e-04 1.1016e-04 8.1878e-05 7.0631e-05 5.1373e-05 4.4672e-05 3.3208e-05 2.3771e-05 2.0785e-05 1.9463e-05 1.5542e-05 1.5635e-05 1.5168e-05 1.4743e-05 1.4351e-05 1.4800e-05 1.3964e-05 1.4248e-05 1.4478e-05 1.3519e-05 1.4757e-05 1.4677e-05 1.4630e-05 1.4589e-05 1.4559e-05 1.4550e-05 1.4557e-05 1.4548e-05 1.4549e-05 1.4524e-05 1.4522e-05 1.4545e-05 1.4541e-05 1.4544e-05 1.4543e-05 1.4526e-05 1.4535e-05 1.4543e-05 1.4540e-05 1.4536e-05 1.4541e-05 1.4531e-05 1.4534e-05 1.4530e-05 1.4545e-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 1.4536e-05 1.4539e-05 1.4540e-05 1.4537e-05 1.4532e-05 1.4526e-05 1.4541e-05 9.9606e-04 7.5081e-04 5.8061e-04 4.6959e-04 3.5358e-04 3.0249e-04 2.1613e-04 1.7260e-04 1.3786e-04 1.1976e-04 7.6732e-05 6.9433e-05 5.2674e-05 4.3001e-05 3.4991e-05 2.8851e-05 2.3043e-05 1.7559e-05 1.6686e-05 1.5647e-05 1.4837e-05 1.4748e-05 1.5045e-05 1.4191e-05 1.3695e-05 1.3925e-05 1.4458e-05 1.4243e-05 1.4108e-05 1.4035e-05 1.3992e-05 1.3954e-05 1.3926e-05 1.3918e-05 1.3926e-05 1.3918e-05 1.3919e-05 1.3893e-05 1.3892e-05 1.3915e-05 1.3911e-05 1.3914e-05 1.3913e-05 1.3896e-05 1.3905e-05 1.3913e-05 1.3910e-05 1.3907e-05 1.3911e-05 1.3901e-05 1.3904e-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 1.3919e-05 1.3923e-05 1.3904e-05 1.3891e-05 1.3907e-05 1.3901e-05 1.3903e-05 1.3914e-05 1.3902e-05 1.3908e-05 1.3903e-05 1.3907e-05 1.3909e-05 1.3910e-05 1.3907e-05 1.3903e-05 1.3896e-05 1.3912e-05 8.7254e-04 7.4646e-04 5.6354e-04 5.1510e-04 3.6199e-04 3.1091e-04 2.2440e-04 1.8466e-04 1.4204e-04 1.1182e-04 8.4926e-05 6.8320e-05 5.2949e-05 3.9113e-05 3.4615e-05 2.7354e-05 2.3259e-05 1.7957e-05 1.6617e-05 1.5004e-05 1.4084e-05 1.4317e-05 1.3768e-05 1.3655e-05 1.4432e-05 1.3501e-05 1.3315e-05 1.3215e-05 1.4474e-05 1.4391e-05 1.4341e-05 1.4299e-05 1.4269e-05 1.4258e-05 1.4265e-05 1.4256e-05 1.4256e-05 1.4232e-05 1.4230e-05 1.4252e-05 1.4248e-05 1.4251e-05 1.4250e-05 1.4233e-05 1.4242e-05 1.4250e-05 1.4247e-05 1.4244e-05 1.4248e-05 1.4239e-05 1.4242e-05 1.4238e-05 1.4252e-05 1.4238e-05 1.4237e-05 1.4235e-05 1.4238e-05 1.4250e-05 1.4247e-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 1.4245e-05 1.4240e-05 1.4244e-05 1.4246e-05 1.4247e-05 1.4244e-05 1.4240e-05 1.4234e-05 1.4248e-05 9.4905e-04 7.6517e-04 5.7913e-04 4.7314e-04 3.6212e-04 2.6700e-04 2.2706e-04 1.6455e-04 1.3696e-04 1.0623e-04 8.7911e-05 6.6186e-05 5.5359e-05 4.1111e-05 3.3396e-05 2.5634e-05 2.2289e-05 1.8442e-05 1.5452e-05 1.4436e-05 1.3891e-05 1.3587e-05 1.3751e-05 1.3694e-05 1.4404e-05 1.3317e-05 1.4337e-05 1.3969e-05 1.3854e-05 1.3792e-05 1.3755e-05 1.3722e-05 1.3697e-05 1.3689e-05 1.3698e-05 1.3691e-05 1.3692e-05 1.3668e-05 1.3667e-05 1.3689e-05 1.3685e-05 1.3688e-05 1.3687e-05 1.3670e-05 1.3679e-05 1.3687e-05 1.3684e-05 1.3681e-05 1.3685e-05 1.3676e-05 1.3679e-05 1.3675e-05 1.3690e-05 1.3675e-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 1.3682e-05 1.3677e-05 1.3681e-05 1.3683e-05 1.3684e-05 1.3681e-05 1.3677e-05 1.3671e-05 1.3686e-05 9.9439e-04 7.2628e-04 5.7593e-04 4.3677e-04 3.6900e-04 2.8896e-04 2.2572e-04 1.7490e-04 1.4249e-04 1.0337e-04 8.5221e-05 6.5115e-05 4.8117e-05 4.0687e-05 2.8579e-05 2.5977e-05 2.2370e-05 1.8046e-05 1.5844e-05 1.3909e-05 1.3967e-05 1.4393e-05 1.3705e-05 1.3615e-05 1.2707e-05 1.3952e-05 1.3715e-05 1.3588e-05 1.3833e-05 1.3768e-05 1.3729e-05 1.3694e-05 1.3668e-05 1.3660e-05 1.3668e-05 1.3660e-05 1.3661e-05 1.3638e-05 1.3637e-05 1.3658e-05 1.3654e-05 1.3657e-05 1.3656e-05 1.3640e-05 1.3649e-05 1.3656e-05 1.3653e-05 1.3650e-05 1.3654e-05 1.3645e-05 1.3648e-05 1.3644e-05 1.3659e-05 1.3645e-05 1.3644e-05 1.3641e-05 1.3644e-05 1.3656e-05 1.3654e-05 1.3652e-05 1.3645e-05 1.3646e-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 1.3646e-05 1.3650e-05 1.3652e-05 1.3654e-05 1.3651e-05 1.3646e-05 1.3640e-05 1.3655e-05 9.7276e-04 7.5022e-04 5.8450e-04 4.4555e-04 3.6469e-04 2.8750e-04 2.0903e-04 1.6769e-04 1.1821e-04 1.0461e-04 7.6858e-05 6.8092e-05 5.2487e-05 4.1303e-05 3.2427e-05 2.5954e-05 1.8654e-05 1.9010e-05 1.4458e-05 1.4417e-05 1.4875e-05 1.4097e-05 1.3162e-05 1.3930e-05 1.3106e-05 1.4029e-05 1.2927e-05 1.2813e-05 1.2872e-05 1.2821e-05 1.2792e-05 1.2762e-05 1.2740e-05 1.2735e-05 1.2745e-05 1.2738e-05 1.2739e-05 1.2715e-05 1.2714e-05 1.2737e-05 1.2733e-05 1.2736e-05 1.2735e-05 1.2718e-05 1.2727e-05 1.2735e-05 1.2732e-05 1.2729e-05 1.2733e-05 1.2724e-05 1.2727e-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 1.2731e-05 1.2724e-05 1.2725e-05 1.2727e-05 1.2741e-05 1.2745e-05 1.2726e-05 1.2713e-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 1.2731e-05 1.2733e-05 1.2730e-05 1.2725e-05 1.2719e-05 1.2734e-05 9.3580e-04 7.1992e-04 5.0743e-04 4.5773e-04 3.4026e-04 2.6148e-04 1.9113e-04 1.7828e-04 1.3426e-04 1.1437e-04 8.2270e-05 6.5079e-05 5.0229e-05 3.7465e-05 3.3815e-05 2.5356e-05 2.0467e-05 1.6046e-05 1.5272e-05 1.5415e-05 1.3755e-05 1.2311e-05 1.2986e-05 1.3507e-05 1.2447e-05 1.3321e-05 1.3057e-05 1.2911e-05 1.2817e-05 1.2767e-05 1.2738e-05 1.2709e-05 1.2687e-05 1.2682e-05 1.2691e-05 1.2685e-05 1.2686e-05 1.2663e-05 1.2662e-05 1.2684e-05 1.2680e-05 1.2683e-05 1.2682e-05 1.2665e-05 1.2674e-05 1.2682e-05 1.2679e-05 1.2676e-05 1.2680e-05 1.2671e-05 1.2674e-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 1.2673e-05 1.2661e-05 1.2676e-05 1.2671e-05 1.2673e-05 1.2683e-05 1.2671e-05 1.2678e-05 1.2672e-05 1.2676e-05 1.2678e-05 1.2680e-05 1.2677e-05 1.2672e-05 1.2666e-05 1.2681e-05 9.0184e-04 7.4826e-04 5.6357e-04 4.4708e-04 3.4222e-04 2.7970e-04 2.2144e-04 1.8447e-04 1.3374e-04 9.7223e-05 7.9526e-05 5.6587e-05 4.9320e-05 3.7998e-05 3.3901e-05 2.4848e-05 1.9084e-05 1.6980e-05 1.6070e-05 1.3092e-05 1.2990e-05 1.2968e-05 1.2788e-05 1.2565e-05 1.3290e-05 1.3266e-05 1.3014e-05 1.2879e-05 1.2793e-05 1.2748e-05 1.2722e-05 1.2696e-05 1.2676e-05 1.2671e-05 1.2681e-05 1.2675e-05 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