# # # 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) 17 # 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. # 2.89904780e+03 2.28062296e+03 1.79395097e+03 1.41099600e+03 1.10968132e+03 8.72624087e+02 6.86138279e+02 5.39449527e+02 4.24076341e+02 3.33342741e+02 2.61994985e+02 2.05899708e+02 1.61806573e+02 1.27163228e+02 9.99712617e+01 7.86759747e+01 6.20831885e+01 4.92943320e+01 3.96456970e+01 3.26330161e+01 2.78159199e+01 2.47373117e+01 2.29147959e+01 2.19048912e+01 2.13693090e+01 2.10900947e+01 2.09435066e+01 2.08646878e+01 2.08209390e+01 2.07958603e+01 2.07810829e+01 2.07721856e+01 2.07667435e+01 2.07633791e+01 2.07612841e+01 2.07599732e+01 2.07591506e+01 2.07586333e+01 2.07583076e+01 2.07581024e+01 2.07579729e+01 2.07578914e+01 2.07578401e+01 2.07578075e+01 2.07577872e+01 2.07577742e+01 2.07577658e+01 2.07577609e+01 2.07577576e+01 2.07577556e+01 2.07577543e+01 2.07577534e+01 2.07577529e+01 2.07577526e+01 2.07577523e+01 2.07577522e+01 2.07577524e+01 2.07577522e+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 2.07577519e+01 2.07577523e+01 2.07577521e+01 2.07577521e+01 2.07577519e+01 2.07577520e+01 2.07577521e+01 2.07577524e+01 2.07577519e+01 2.07577521e+01 2.07577521e+01 2.07577518e+01 2.07577521e+01 2.07577521e+01 2.87113451e+03 2.25845044e+03 1.77633841e+03 1.39700611e+03 1.09856883e+03 8.63797043e+02 6.79126702e+02 5.33880110e+02 4.19652305e+02 3.29828574e+02 2.59203549e+02 2.03682218e+02 1.60044861e+02 1.25763315e+02 9.88582307e+01 7.77898590e+01 6.13756023e+01 4.87255811e+01 3.91825351e+01 3.22471153e+01 2.74833924e+01 2.44390235e+01 2.26368292e+01 2.16381996e+01 2.11085982e+01 2.08325018e+01 2.06875460e+01 2.06096053e+01 2.05663423e+01 2.05415444e+01 2.05269312e+01 2.05181323e+01 2.05127498e+01 2.05094226e+01 2.05073508e+01 2.05060543e+01 2.05052409e+01 2.05047293e+01 2.05044072e+01 2.05042042e+01 2.05040762e+01 2.05039956e+01 2.05039448e+01 2.05039126e+01 2.05038925e+01 2.05038796e+01 2.05038713e+01 2.05038665e+01 2.05038632e+01 2.05038612e+01 2.05038600e+01 2.05038591e+01 2.05038586e+01 2.05038583e+01 2.05038580e+01 2.05038579e+01 2.05038581e+01 2.05038578e+01 2.05038577e+01 2.05038576e+01 2.05038578e+01 2.05038578e+01 2.05038579e+01 2.05038577e+01 2.05038578e+01 2.05038577e+01 2.05038577e+01 2.05038576e+01 2.05038579e+01 2.05038578e+01 2.05038578e+01 2.05038576e+01 2.05038576e+01 2.05038578e+01 2.05038581e+01 2.05038576e+01 2.05038577e+01 2.05038578e+01 2.05038575e+01 2.05038578e+01 2.05038578e+01 2.84322070e+03 2.23627792e+03 1.75872639e+03 1.38301610e+03 1.08745620e+03 8.54969947e+02 6.72115130e+02 5.28310541e+02 4.15228240e+02 3.26314370e+02 2.56412080e+02 2.01464700e+02 1.58283183e+02 1.24363435e+02 9.77452095e+01 7.69037617e+01 6.06680047e+01 4.81568227e+01 3.87193679e+01 3.18612205e+01 2.71508556e+01 2.41407334e+01 2.23588593e+01 2.13715069e+01 2.08478867e+01 2.05749055e+01 2.04315857e+01 2.03545210e+01 2.03117450e+01 2.02872260e+01 2.02727766e+01 2.02640762e+01 2.02587546e+01 2.02554646e+01 2.02534159e+01 2.02521326e+01 2.02513283e+01 2.02508224e+01 2.02505039e+01 2.02503032e+01 2.02501766e+01 2.02500969e+01 2.02500466e+01 2.02500148e+01 2.02499949e+01 2.02499822e+01 2.02499740e+01 2.02499693e+01 2.02499660e+01 2.02499640e+01 2.02499628e+01 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6.51080381e+02 5.11602017e+02 4.01956198e+02 3.15771920e+02 2.48037691e+02 1.94812276e+02 1.52998124e+02 1.20163737e+02 9.44061365e+01 7.42454296e+01 5.85452373e+01 4.64505572e+01 3.73298663e+01 3.07035278e+01 2.61532669e+01 2.32458615e+01 2.15249569e+01 2.05714330e+01 2.00657556e+01 1.98021275e+01 1.96637076e+01 1.95892748e+01 1.95479569e+01 1.95242732e+01 1.95103149e+01 1.95019084e+01 1.94967675e+01 1.94935887e+01 1.94916096e+01 1.94903711e+01 1.94895941e+01 1.94891054e+01 1.94887977e+01 1.94886038e+01 1.94884815e+01 1.94884045e+01 1.94883560e+01 1.94883252e+01 1.94883060e+01 1.94882937e+01 1.94882858e+01 1.94882812e+01 1.94882781e+01 1.94882761e+01 1.94882750e+01 1.94882741e+01 1.94882736e+01 1.94882733e+01 1.94882730e+01 1.94882730e+01 1.94882731e+01 1.94882729e+01 1.94882728e+01 1.94882727e+01 1.94882728e+01 1.94882729e+01 1.94882730e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882728e+01 1.94882727e+01 1.94882730e+01 1.94882729e+01 1.94882728e+01 1.94882727e+01 1.94882727e+01 1.94882729e+01 1.94882731e+01 1.94882727e+01 1.94882728e+01 1.94882729e+01 1.94882725e+01 1.94882729e+01 1.94882729e+01 2.73156631e+03 2.14758792e+03 1.68827720e+03 1.32705636e+03 1.04300569e+03 8.19661708e+02 6.44068832e+02 5.06032529e+02 3.97532142e+02 3.12257730e+02 2.45246199e+02 1.92594795e+02 1.51236439e+02 1.18763839e+02 9.32931079e+01 7.33593186e+01 5.78376499e+01 4.58817945e+01 3.68667034e+01 3.03176334e+01 2.58207305e+01 2.29475718e+01 2.12469870e+01 2.03047416e+01 1.98050470e+01 1.95445321e+01 1.94077485e+01 1.93341915e+01 1.92933604e+01 1.92699541e+01 1.92561599e+01 1.92478515e+01 1.92427708e+01 1.92396298e+01 1.92376738e+01 1.92364498e+01 1.92356819e+01 1.92351989e+01 1.92348948e+01 1.92347032e+01 1.92345823e+01 1.92345062e+01 1.92344582e+01 1.92344278e+01 1.92344089e+01 1.92343967e+01 1.92343889e+01 1.92343843e+01 1.92343812e+01 1.92343793e+01 1.92343782e+01 1.92343773e+01 1.92343769e+01 1.92343766e+01 1.92343763e+01 1.92343762e+01 1.92343764e+01 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8.63939771e+00 3.97927032e+00 1.99946602e+00 1.15489385e+00 8.07023637e-01 6.86309761e-01 6.74815808e-01 7.17559393e-01 7.85959156e-01 3.08525491e+25 2.31893196e+25 1.73732519e+25 1.29687002e+25 9.64108556e+24 7.13375471e+24 5.25008151e+24 3.83963618e+24 2.78750337e+24 2.00604576e+24 1.42855481e+24 1.00435705e+24 6.95051779e+23 4.71612543e+23 3.12155888e+23 2.00216636e+23 1.23406979e+23 7.23663573e+22 3.99376685e+22 2.05472214e+22 9.80896706e+21 4.36025699e+21 1.82693654e+21 7.34345814e+20 2.88269507e+20 1.12101749e+20 4.35891069e+19 1.70280047e+19 6.69253898e+18 2.64484557e+18 1.04938954e+18 4.17349433e+17 1.66166365e+17 6.61811706e+16 2.63585539e+16 1.04968862e+16 4.17977654e+15 1.66422609e+15 6.62597543e+14 2.63799211e+14 1.05023970e+14 4.18117047e+13 1.66457685e+13 6.62685775e+12 2.63821445e+12 1.05029599e+12 4.18131455e+11 1.66461478e+11 6.62696391e+10 2.63824797e+10 1.05030875e+10 4.18137397e+09 1.66464694e+09 6.62715356e+08 2.63836427e+08 1.05038129e+08 4.18182961e+07 1.66493385e+07 6.62896218e+06 2.63950485e+06 1.05110065e+06 4.18636609e+05 1.66779425e+05 6.64699282e+04 2.65086622e+04 1.05825591e+04 4.23139963e+03 1.69611526e+03 6.82495689e+02 2.76263295e+02 1.12847205e+02 4.67367882e+01 1.97685474e+01 8.63939778e+00 3.97927037e+00 1.99946597e+00 1.15489386e+00 8.07023639e-01 6.86309750e-01 6.74815820e-01 7.17559392e-01 7.74980995e+25 5.82489372e+25 4.36396357e+25 3.25759022e+25 2.42173120e+25 1.79191817e+25 1.31876085e+25 9.64473002e+24 7.00189190e+24 5.03895913e+24 3.58836744e+24 2.52283085e+24 1.74589113e+24 1.18463715e+24 7.84100139e+23 5.02921451e+23 3.09984315e+23 1.81776071e+23 1.00318888e+23 5.16122865e+22 2.46390113e+22 1.09524704e+22 4.58905712e+21 1.84459329e+21 7.24100262e+20 2.81586862e+20 1.09490886e+20 4.27724140e+19 1.68108979e+19 6.64355170e+18 2.63594735e+18 1.04833438e+18 4.17391038e+17 1.66239584e+17 6.62096937e+16 2.63669858e+16 1.04991239e+16 4.18034689e+15 1.66436976e+15 6.62633647e+14 2.63808279e+14 1.05026249e+14 4.18122772e+13 1.66459122e+13 6.62689392e+12 2.63822351e+12 1.05029826e+12 4.18132032e+11 1.66461621e+11 6.62696753e+10 2.63824889e+10 1.05030897e+10 4.18137454e+09 1.66464708e+09 6.62715388e+08 2.63836437e+08 1.05038133e+08 4.18182963e+07 1.66493385e+07 6.62896218e+06 2.63950489e+06 1.05110065e+06 4.18636612e+05 1.66779424e+05 6.64699285e+04 2.65086622e+04 1.05825590e+04 4.23139962e+03 1.69611529e+03 6.82495683e+02 2.76263295e+02 1.12847204e+02 4.67367884e+01 1.97685475e+01 8.63939790e+00 3.97927028e+00 1.99946598e+00 1.15489386e+00 8.07023626e-01 6.86309762e-01 6.74815820e-01 1.94666425e+26 1.46314715e+26 1.09617809e+26 8.18269667e+25 6.08311374e+25 4.50109493e+25 3.31257749e+25 2.42264665e+25 1.75879573e+25 1.26572931e+25 9.01357150e+24 6.33706459e+24 4.38548025e+24 2.97567398e+24 1.96957050e+24 1.26328157e+24 7.78645396e+23 4.56600846e+23 2.51989653e+23 1.29644202e+23 6.18903981e+22 2.75113617e+22 1.15271903e+22 4.63340884e+21 1.81885762e+21 7.07314217e+20 2.75028671e+20 1.07439446e+20 4.22270662e+19 1.66878474e+19 6.62120038e+18 2.63329690e+18 1.04843888e+18 4.17574956e+17 1.66311231e+17 6.62308739e+16 2.63726069e+16 1.05005566e+16 4.18070778e+15 1.66446045e+15 6.62656424e+14 2.63814003e+14 1.05027687e+14 4.18126380e+13 1.66460030e+13 6.62691667e+12 2.63822921e+12 1.05029971e+12 4.18132392e+11 1.66461712e+11 6.62696983e+10 2.63824945e+10 1.05030912e+10 4.18137490e+09 1.66464717e+09 6.62715414e+08 2.63836446e+08 1.05038133e+08 4.18182964e+07 1.66493385e+07 6.62896226e+06 2.63950490e+06 1.05110066e+06 4.18636608e+05 1.66779424e+05 6.64699285e+04 2.65086621e+04 1.05825590e+04 4.23139969e+03 1.69611527e+03 6.82495683e+02 2.76263292e+02 1.12847205e+02 4.67367887e+01 1.97685478e+01 8.63939771e+00 3.97927031e+00 1.99946599e+00 1.15489384e+00 8.07023640e-01 6.86309762e-01 4.88979950e+26 3.67525947e+26 2.75347487e+26 2.05540047e+26 1.52800909e+26 1.13062393e+26 8.32081844e+25 6.08541324e+25 4.41789512e+25 3.17936827e+25 2.26410679e+25 1.59179866e+25 1.10158283e+25 7.47455509e+24 4.94733742e+24 3.17321983e+24 1.95586880e+24 1.14692947e+24 6.32969389e+23 3.25651512e+23 1.55461651e+23 6.91054161e+22 2.89549929e+22 1.16385968e+22 4.56876379e+21 1.77669298e+21 6.90840787e+20 2.69875688e+20 1.06069595e+20 4.19179774e+19 1.66317034e+19 6.61454275e+18 2.63355941e+18 1.04890086e+18 4.17754924e+17 1.66364433e+17 6.62449933e+16 2.63762056e+16 1.05014631e+16 4.18093559e+15 1.66451766e+15 6.62670802e+14 2.63817614e+14 1.05028593e+14 4.18128662e+13 1.66460602e+13 6.62693097e+12 2.63823285e+12 1.05030061e+12 4.18132620e+11 1.66461770e+11 6.62697123e+10 2.63824981e+10 1.05030921e+10 4.18137511e+09 1.66464723e+09 6.62715436e+08 2.63836447e+08 1.05038134e+08 4.18182965e+07 1.66493387e+07 6.62896229e+06 2.63950491e+06 1.05110065e+06 4.18636610e+05 1.66779424e+05 6.64699282e+04 2.65086621e+04 1.05825592e+04 4.23139965e+03 1.69611527e+03 6.82495677e+02 2.76263293e+02 1.12847205e+02 4.67367894e+01 1.97685473e+01 8.63939776e+00 3.97927031e+00 1.99946595e+00 1.15489387e+00 8.07023640e-01 1.22826210e+27 9.23183440e+26 6.91641616e+26 5.16293256e+26 3.83818529e+26 2.83999890e+26 2.09009509e+26 1.52858670e+26 1.10972508e+26 7.98621202e+25 5.68717913e+25 3.99841745e+25 2.76705097e+25 1.87752335e+25 1.24271497e+25 7.97076784e+24 4.91292031e+24 2.88095658e+24 1.58994722e+24 8.17999615e+23 3.90502012e+23 1.73584957e+23 7.27316538e+22 2.92348334e+22 1.14762158e+22 4.46285100e+21 1.73531360e+21 6.77897078e+20 2.66434776e+20 1.05293199e+20 4.17769501e+19 1.66149802e+19 6.61520214e+18 2.63471985e+18 1.04935293e+18 4.17888562e+17 1.66399900e+17 6.62540328e+16 2.63784826e+16 1.05020353e+16 4.18107930e+15 1.66455378e+15 6.62679874e+14 2.63819892e+14 1.05029167e+14 4.18130098e+13 1.66460961e+13 6.62694012e+12 2.63823512e+12 1.05030119e+12 4.18132765e+11 1.66461805e+11 6.62697214e+10 2.63825004e+10 1.05030926e+10 4.18137527e+09 1.66464728e+09 6.62715439e+08 2.63836448e+08 1.05038134e+08 4.18182970e+07 1.66493388e+07 6.62896233e+06 2.63950489e+06 1.05110065e+06 4.18636610e+05 1.66779424e+05 6.64699281e+04 2.65086625e+04 1.05825591e+04 4.23139965e+03 1.69611526e+03 6.82495679e+02 2.76263295e+02 1.12847207e+02 4.67367883e+01 1.97685475e+01 8.63939777e+00 3.97927025e+00 1.99946599e+00 1.15489386e+00 3.08525491e+27 2.31893196e+27 1.73732519e+27 1.29687002e+27 9.64108556e+26 7.13375471e+26 5.25008151e+26 3.83963618e+26 2.78750337e+26 2.00604576e+26 1.42855481e+26 1.00435705e+26 6.95051779e+25 4.71612543e+25 3.12155888e+25 2.00216636e+25 1.23406979e+25 7.23663573e+24 3.99376685e+24 2.05472214e+24 9.80896706e+23 4.36025699e+23 1.82693654e+23 7.34345814e+22 2.88269507e+22 1.12101749e+22 4.35891068e+21 1.70280047e+21 6.69253898e+20 2.64484557e+20 1.04938954e+20 4.17349433e+19 1.66166365e+19 6.61811704e+18 2.63585538e+18 1.04968861e+18 4.17977650e+17 1.66422606e+17 6.62597525e+16 2.63799200e+16 1.05023963e+16 4.18117002e+15 1.66457657e+15 6.62685594e+14 2.63821331e+14 1.05029527e+14 4.18131000e+13 1.66461191e+13 6.62694583e+12 2.63823656e+12 1.05030155e+12 4.18132854e+11 1.66461828e+11 6.62697272e+10 2.63825016e+10 1.05030930e+10 4.18137540e+09 1.66464729e+09 6.62715442e+08 2.63836448e+08 1.05038135e+08 4.18182972e+07 1.66493389e+07 6.62896228e+06 2.63950490e+06 1.05110065e+06 4.18636608e+05 1.66779423e+05 6.64699292e+04 2.65086623e+04 1.05825591e+04 4.23139961e+03 1.69611526e+03 6.82495684e+02 2.76263299e+02 1.12847205e+02 4.67367886e+01 1.97685475e+01 8.63939763e+00 3.97927032e+00 1.99946599e+00 7.74980995e+27 5.82489372e+27 4.36396357e+27 3.25759022e+27 2.42173120e+27 1.79191817e+27 1.31876085e+27 9.64473002e+26 7.00189190e+26 5.03895913e+26 3.58836744e+26 2.52283085e+26 1.74589113e+26 1.18463715e+26 7.84100139e+25 5.02921451e+25 3.09984315e+25 1.81776071e+25 1.00318888e+25 5.16122865e+24 2.46390113e+24 1.09524704e+24 4.58905712e+23 1.84459329e+23 7.24100262e+22 2.81586862e+22 1.09490886e+22 4.27724140e+21 1.68108979e+21 6.64355170e+20 2.63594735e+20 1.04833438e+20 4.17391037e+19 1.66239584e+19 6.62096935e+18 2.63669857e+18 1.04991239e+18 4.18034685e+17 1.66436973e+17 6.62633629e+16 2.63808267e+16 1.05026242e+16 4.18122726e+15 1.66459093e+15 6.62689211e+14 2.63822237e+14 1.05029754e+14 4.18131578e+13 1.66461334e+13 6.62694944e+12 2.63823747e+12 1.05030177e+12 4.18132911e+11 1.66461842e+11 6.62697304e+10 2.63825027e+10 1.05030934e+10 4.18137543e+09 1.66464730e+09 6.62715442e+08 2.63836451e+08 1.05038135e+08 4.18182974e+07 1.66493388e+07 6.62896230e+06 2.63950490e+06 1.05110065e+06 4.18636607e+05 1.66779426e+05 6.64699286e+04 2.65086623e+04 1.05825590e+04 4.23139963e+03 1.69611528e+03 6.82495694e+02 2.76263293e+02 1.12847205e+02 4.67367887e+01 1.97685472e+01 8.63939779e+00 3.97927032e+00 1.94666425e+28 1.46314715e+28 1.09617809e+28 8.18269667e+27 6.08311374e+27 4.50109493e+27 3.31257749e+27 2.42264665e+27 1.75879573e+27 1.26572931e+27 9.01357150e+26 6.33706459e+26 4.38548025e+26 2.97567398e+26 1.96957050e+26 1.26328157e+26 7.78645396e+25 4.56600846e+25 2.51989653e+25 1.29644202e+25 6.18903981e+24 2.75113617e+24 1.15271903e+24 4.63340884e+23 1.81885762e+23 7.07314217e+22 2.75028671e+22 1.07439446e+22 4.22270662e+21 1.66878474e+21 6.62120038e+20 2.63329690e+20 1.04843888e+20 4.17574955e+19 1.66311231e+19 6.62308737e+18 2.63726068e+18 1.05005565e+18 4.18070774e+17 1.66446042e+17 6.62656406e+16 2.63813991e+16 1.05027680e+16 4.18126335e+15 1.66460002e+15 6.62691486e+14 2.63822807e+14 1.05029899e+14 4.18131938e+13 1.66461425e+13 6.62695174e+12 2.63823803e+12 1.05030192e+12 4.18132948e+11 1.66461850e+11 6.62697329e+10 2.63825035e+10 1.05030934e+10 4.18137544e+09 1.66464730e+09 6.62715450e+08 2.63836452e+08 1.05038136e+08 4.18182971e+07 1.66493388e+07 6.62896230e+06 2.63950489e+06 1.05110065e+06 4.18636614e+05 1.66779425e+05 6.64699286e+04 2.65086620e+04 1.05825590e+04 4.23139966e+03 1.69611530e+03 6.82495679e+02 2.76263295e+02 1.12847205e+02 4.67367879e+01 1.97685475e+01 8.63939778e+00 # # uncertainties in the thermally averaged relativistic Gaunt factors 1.9957e-03 1.5900e-03 1.3199e-03 9.6672e-04 7.9409e-04 5.7566e-04 4.9452e-04 3.8311e-04 2.8469e-04 2.2806e-04 1.8794e-04 1.4273e-04 1.0244e-04 8.3556e-05 6.0502e-05 5.2513e-05 4.3669e-05 3.4958e-05 2.9135e-05 2.2059e-05 2.0077e-05 1.7582e-05 1.5906e-05 1.5704e-05 1.4538e-05 1.4775e-05 1.4667e-05 1.5029e-05 1.4939e-05 1.6154e-05 1.5742e-05 1.5637e-05 1.5564e-05 1.5522e-05 1.5495e-05 1.5487e-05 1.5482e-05 1.5469e-05 1.5465e-05 1.5470e-05 1.5463e-05 1.5456e-05 1.5458e-05 1.5459e-05 1.5461e-05 1.5472e-05 1.5450e-05 1.5468e-05 1.5459e-05 1.5461e-05 1.5468e-05 1.5466e-05 1.5464e-05 1.5455e-05 1.5453e-05 1.5460e-05 1.5467e-05 1.5466e-05 1.5460e-05 1.5456e-05 1.5463e-05 1.5463e-05 1.5462e-05 1.5470e-05 1.5465e-05 1.5465e-05 1.5456e-05 1.5457e-05 1.5469e-05 1.5468e-05 1.5466e-05 1.5458e-05 1.5458e-05 1.5466e-05 1.5482e-05 1.5459e-05 1.5466e-05 1.5454e-05 1.5446e-05 1.5469e-05 1.5469e-05 1.8807e-03 1.5444e-03 1.2731e-03 9.9819e-04 6.9525e-04 5.9128e-04 4.4511e-04 3.6093e-04 2.7374e-04 2.4387e-04 1.7880e-04 1.5035e-04 1.1350e-04 9.1626e-05 6.8833e-05 5.4597e-05 4.1674e-05 3.2586e-05 2.6244e-05 2.3532e-05 1.8313e-05 1.6947e-05 1.5037e-05 1.5804e-05 1.4892e-05 1.4969e-05 1.5355e-05 1.5012e-05 1.5111e-05 1.4862e-05 1.4722e-05 1.4640e-05 1.5190e-05 1.5142e-05 1.5112e-05 1.5101e-05 1.5095e-05 1.5080e-05 1.5076e-05 1.5081e-05 1.5073e-05 1.5066e-05 1.5068e-05 1.5069e-05 1.5071e-05 1.5082e-05 1.5060e-05 1.5078e-05 1.5069e-05 1.5071e-05 1.5078e-05 1.5076e-05 1.5073e-05 1.5065e-05 1.5063e-05 1.5070e-05 1.5077e-05 1.5076e-05 1.5070e-05 1.5066e-05 1.5072e-05 1.5073e-05 1.5072e-05 1.5080e-05 1.5075e-05 1.5075e-05 1.5066e-05 1.5067e-05 1.5079e-05 1.5077e-05 1.5076e-05 1.5068e-05 1.5068e-05 1.5076e-05 1.5092e-05 1.5069e-05 1.5075e-05 1.5064e-05 1.5056e-05 1.5079e-05 1.5079e-05 1.9488e-03 1.6524e-03 1.2140e-03 1.0200e-03 6.8296e-04 6.0877e-04 4.7233e-04 3.8134e-04 2.9545e-04 2.5200e-04 1.7625e-04 1.4484e-04 1.0980e-04 8.2901e-05 6.8734e-05 4.6607e-05 4.3974e-05 3.3136e-05 2.4737e-05 2.1353e-05 2.0128e-05 1.7356e-05 1.6185e-05 1.5823e-05 1.6352e-05 1.5547e-05 1.5253e-05 1.5717e-05 1.5213e-05 1.4661e-05 1.4552e-05 1.4491e-05 1.4445e-05 1.4420e-05 1.4403e-05 1.4947e-05 1.4942e-05 1.4928e-05 1.4924e-05 1.4929e-05 1.4922e-05 1.4915e-05 1.4917e-05 1.4918e-05 1.4921e-05 1.4931e-05 1.4909e-05 1.4927e-05 1.4918e-05 1.4920e-05 1.4927e-05 1.4925e-05 1.4923e-05 1.4914e-05 1.4912e-05 1.4919e-05 1.4926e-05 1.4925e-05 1.4919e-05 1.4915e-05 1.4922e-05 1.4922e-05 1.4922e-05 1.4929e-05 1.4924e-05 1.4924e-05 1.4915e-05 1.4916e-05 1.4928e-05 1.4927e-05 1.4925e-05 1.4918e-05 1.4917e-05 1.4925e-05 1.4941e-05 1.4918e-05 1.4925e-05 1.4913e-05 1.4905e-05 1.4928e-05 1.4928e-05 1.9279e-03 1.5910e-03 1.2035e-03 9.8356e-04 8.0769e-04 6.1747e-04 4.6904e-04 3.4341e-04 2.7777e-04 1.9752e-04 1.7590e-04 1.4036e-04 1.1525e-04 8.7410e-05 7.2801e-05 5.3034e-05 3.9090e-05 3.3640e-05 2.6362e-05 2.1559e-05 1.7637e-05 1.6643e-05 1.5315e-05 1.5675e-05 1.4863e-05 1.5543e-05 1.4233e-05 1.5051e-05 1.4700e-05 1.3894e-05 1.3747e-05 1.3662e-05 1.3600e-05 1.3564e-05 1.4990e-05 1.4978e-05 1.4972e-05 1.4957e-05 1.4952e-05 1.4957e-05 1.4949e-05 1.4942e-05 1.4944e-05 1.4945e-05 1.4947e-05 1.4957e-05 1.4936e-05 1.4954e-05 1.4945e-05 1.4947e-05 1.4953e-05 1.4951e-05 1.4949e-05 1.4941e-05 1.4939e-05 1.4946e-05 1.4953e-05 1.4951e-05 1.4946e-05 1.4942e-05 1.4948e-05 1.4949e-05 1.4948e-05 1.4955e-05 1.4951e-05 1.4951e-05 1.4942e-05 1.4943e-05 1.4954e-05 1.4953e-05 1.4951e-05 1.4944e-05 1.4944e-05 1.4951e-05 1.4967e-05 1.4945e-05 1.4951e-05 1.4940e-05 1.4932e-05 1.4955e-05 1.4954e-05 1.8624e-03 1.3399e-03 1.1896e-03 9.7114e-04 7.8749e-04 5.7142e-04 4.5904e-04 3.6099e-04 2.9376e-04 2.1736e-04 1.7745e-04 1.3849e-04 1.0435e-04 8.4637e-05 6.3547e-05 5.3619e-05 3.7206e-05 3.6156e-05 2.8022e-05 2.2270e-05 1.8569e-05 1.6262e-05 1.5569e-05 1.5354e-05 1.4118e-05 1.3910e-05 1.5044e-05 1.5464e-05 1.5054e-05 1.5397e-05 1.5215e-05 1.5109e-05 1.5395e-05 1.5282e-05 1.5259e-05 1.5252e-05 1.5248e-05 1.5236e-05 1.5233e-05 1.5238e-05 1.5231e-05 1.5225e-05 1.5227e-05 1.5228e-05 1.5230e-05 1.5239e-05 1.5219e-05 1.5236e-05 1.5228e-05 1.5230e-05 1.5236e-05 1.5234e-05 1.5232e-05 1.5224e-05 1.5222e-05 1.5228e-05 1.5235e-05 1.5234e-05 1.5229e-05 1.5225e-05 1.5231e-05 1.5232e-05 1.5231e-05 1.5238e-05 1.5234e-05 1.5234e-05 1.5225e-05 1.5226e-05 1.5237e-05 1.5236e-05 1.5234e-05 1.5227e-05 1.5227e-05 1.5234e-05 1.5249e-05 1.5228e-05 1.5234e-05 1.5223e-05 1.5216e-05 1.5237e-05 1.5237e-05 1.9915e-03 1.5307e-03 1.2071e-03 9.2148e-04 7.0919e-04 5.9300e-04 4.7542e-04 3.6767e-04 2.4588e-04 2.1395e-04 1.5318e-04 1.4845e-04 1.0262e-04 8.9043e-05 6.4860e-05 5.4089e-05 4.0827e-05 3.0051e-05 2.6898e-05 2.3208e-05 1.6857e-05 1.6972e-05 1.5046e-05 1.5213e-05 1.4475e-05 1.3663e-05 1.4551e-05 1.3712e-05 1.3755e-05 1.3771e-05 1.3926e-05 1.3861e-05 1.3814e-05 1.4207e-05 1.4188e-05 1.4185e-05 1.4183e-05 1.4172e-05 1.4169e-05 1.4175e-05 1.4169e-05 1.4162e-05 1.4164e-05 1.4165e-05 1.4168e-05 1.4178e-05 1.4156e-05 1.4174e-05 1.4165e-05 1.4167e-05 1.4174e-05 1.4172e-05 1.4170e-05 1.4162e-05 1.4160e-05 1.4166e-05 1.4173e-05 1.4172e-05 1.4167e-05 1.4162e-05 1.4169e-05 1.4170e-05 1.4169e-05 1.4176e-05 1.4171e-05 1.4171e-05 1.4162e-05 1.4163e-05 1.4175e-05 1.4174e-05 1.4172e-05 1.4165e-05 1.4164e-05 1.4172e-05 1.4188e-05 1.4166e-05 1.4172e-05 1.4161e-05 1.4153e-05 1.4175e-05 1.4175e-05 1.7965e-03 1.4529e-03 1.1347e-03 9.2259e-04 7.1996e-04 6.0467e-04 4.3906e-04 3.5322e-04 2.7425e-04 2.4012e-04 1.7371e-04 1.3808e-04 1.0535e-04 8.5084e-05 6.5854e-05 4.7946e-05 3.7179e-05 3.3044e-05 2.2561e-05 1.9998e-05 1.8443e-05 1.6122e-05 1.5032e-05 1.5148e-05 1.4387e-05 1.4111e-05 1.3804e-05 1.5006e-05 1.4197e-05 1.3600e-05 1.3497e-05 1.4738e-05 1.4656e-05 1.4607e-05 1.4577e-05 1.4565e-05 1.4559e-05 1.4545e-05 1.4540e-05 1.4544e-05 1.4537e-05 1.4530e-05 1.4532e-05 1.4533e-05 1.4535e-05 1.4545e-05 1.4525e-05 1.4542e-05 1.4533e-05 1.4535e-05 1.4541e-05 1.4539e-05 1.4537e-05 1.4529e-05 1.4528e-05 1.4534e-05 1.4540e-05 1.4539e-05 1.4534e-05 1.4530e-05 1.4536e-05 1.4537e-05 1.4536e-05 1.4543e-05 1.4539e-05 1.4539e-05 1.4530e-05 1.4531e-05 1.4542e-05 1.4541e-05 1.4539e-05 1.4532e-05 1.4532e-05 1.4539e-05 1.4554e-05 1.4533e-05 1.4539e-05 1.4529e-05 1.4521e-05 1.4542e-05 1.4542e-05 1.7770e-03 1.5372e-03 1.1945e-03 9.4309e-04 7.1897e-04 5.8296e-04 4.4320e-04 3.6596e-04 2.8122e-04 2.1970e-04 1.8276e-04 1.1822e-04 1.0328e-04 7.7904e-05 6.6307e-05 4.8457e-05 4.1718e-05 3.1739e-05 2.4265e-05 1.8530e-05 2.0323e-05 1.6147e-05 1.4608e-05 1.4062e-05 1.3681e-05 1.4421e-05 1.4030e-05 1.4190e-05 1.4743e-05 1.4397e-05 1.4203e-05 1.4091e-05 1.4015e-05 1.3971e-05 1.3942e-05 1.3932e-05 1.3927e-05 1.3914e-05 1.3910e-05 1.3914e-05 1.3907e-05 1.3900e-05 1.3902e-05 1.3903e-05 1.3906e-05 1.3915e-05 1.3895e-05 1.3912e-05 1.3903e-05 1.3905e-05 1.3912e-05 1.3910e-05 1.3908e-05 1.3900e-05 1.3898e-05 1.3904e-05 1.3911e-05 1.3910e-05 1.3905e-05 1.3901e-05 1.3907e-05 1.3907e-05 1.3907e-05 1.3913e-05 1.3909e-05 1.3909e-05 1.3900e-05 1.3901e-05 1.3912e-05 1.3911e-05 1.3910e-05 1.3903e-05 1.3902e-05 1.3910e-05 1.3925e-05 1.3904e-05 1.3909e-05 1.3899e-05 1.3891e-05 1.3913e-05 1.3912e-05 1.9271e-03 1.5023e-03 1.1239e-03 8.0368e-04 7.8032e-04 5.5064e-04 4.1749e-04 3.5350e-04 2.7171e-04 2.0838e-04 1.7507e-04 1.3647e-04 1.0569e-04 8.5326e-05 6.5398e-05 5.1086e-05 3.9533e-05 3.2750e-05 2.3726e-05 2.0267e-05 1.6712e-05 1.6102e-05 1.4507e-05 1.4106e-05 1.3918e-05 1.4207e-05 1.3556e-05 1.3742e-05 1.3453e-05 1.3288e-05 1.4095e-05 1.4455e-05 1.4369e-05 1.4319e-05 1.4287e-05 1.4274e-05 1.4267e-05 1.4253e-05 1.4248e-05 1.4252e-05 1.4245e-05 1.4238e-05 1.4240e-05 1.4241e-05 1.4243e-05 1.4252e-05 1.4232e-05 1.4249e-05 1.4241e-05 1.4242e-05 1.4248e-05 1.4246e-05 1.4244e-05 1.4237e-05 1.4235e-05 1.4241e-05 1.4248e-05 1.4246e-05 1.4242e-05 1.4238e-05 1.4244e-05 1.4244e-05 1.4244e-05 1.4250e-05 1.4246e-05 1.4246e-05 1.4238e-05 1.4239e-05 1.4249e-05 1.4248e-05 1.4246e-05 1.4240e-05 1.4240e-05 1.4247e-05 1.4261e-05 1.4241e-05 1.4246e-05 1.4236e-05 1.4229e-05 1.4250e-05 1.4249e-05 1.8501e-03 1.4372e-03 1.1179e-03 9.2116e-04 7.1593e-04 5.5442e-04 4.4635e-04 3.5409e-04 3.0019e-04 2.1634e-04 1.6892e-04 1.4091e-04 9.0817e-05 7.9321e-05 6.0141e-05 5.1788e-05 3.9941e-05 3.1240e-05 2.5999e-05 1.9970e-05 1.7116e-05 1.5743e-05 1.4271e-05 1.3782e-05 1.3388e-05 1.3933e-05 1.3585e-05 1.3384e-05 1.3279e-05 1.4269e-05 1.3935e-05 1.3840e-05 1.3774e-05 1.3735e-05 1.3711e-05 1.3703e-05 1.3699e-05 1.3687e-05 1.3683e-05 1.3688e-05 1.3681e-05 1.3675e-05 1.3676e-05 1.3677e-05 1.3680e-05 1.3689e-05 1.3669e-05 1.3686e-05 1.3678e-05 1.3679e-05 1.3685e-05 1.3683e-05 1.3682e-05 1.3674e-05 1.3672e-05 1.3678e-05 1.3685e-05 1.3684e-05 1.3679e-05 1.3675e-05 1.3681e-05 1.3681e-05 1.3681e-05 1.3687e-05 1.3683e-05 1.3683e-05 1.3675e-05 1.3676e-05 1.3686e-05 1.3685e-05 1.3684e-05 1.3677e-05 1.3677e-05 1.3684e-05 1.3698e-05 1.3678e-05 1.3683e-05 1.3673e-05 1.3666e-05 1.3687e-05 1.3686e-05 1.9179e-03 1.4740e-03 1.1483e-03 8.9192e-04 6.2124e-04 5.4717e-04 4.0935e-04 3.4775e-04 2.5874e-04 2.2482e-04 1.6212e-04 1.3447e-04 8.9682e-05 8.0274e-05 6.1173e-05 4.9257e-05 3.9880e-05 2.9016e-05 2.3286e-05 2.1439e-05 1.6552e-05 1.5954e-05 1.3644e-05 1.4429e-05 1.3173e-05 1.2958e-05 1.3286e-05 1.3801e-05 1.3888e-05 1.3679e-05 1.3563e-05 1.3818e-05 1.3749e-05 1.3709e-05 1.3683e-05 1.3674e-05 1.3669e-05 1.3657e-05 1.3653e-05 1.3657e-05 1.3651e-05 1.3644e-05 1.3646e-05 1.3647e-05 1.3649e-05 1.3658e-05 1.3639e-05 1.3655e-05 1.3647e-05 1.3649e-05 1.3655e-05 1.3653e-05 1.3651e-05 1.3643e-05 1.3642e-05 1.3647e-05 1.3654e-05 1.3653e-05 1.3648e-05 1.3644e-05 1.3650e-05 1.3651e-05 1.3650e-05 1.3656e-05 1.3652e-05 1.3652e-05 1.3644e-05 1.3645e-05 1.3655e-05 1.3654e-05 1.3653e-05 1.3646e-05 1.3646e-05 1.3653e-05 1.3667e-05 1.3647e-05 1.3653e-05 1.3643e-05 1.3635e-05 1.3656e-05 1.3655e-05 1.7180e-03 1.4250e-03 1.0525e-03 9.1841e-04 6.4902e-04 5.5036e-04 4.4346e-04 3.4331e-04 2.6880e-04 2.1544e-04 1.6796e-04 1.2966e-04 1.0574e-04 7.8349e-05 6.3712e-05 4.2293e-05 3.8175e-05 2.9903e-05 2.1849e-05 1.7791e-05 1.7814e-05 1.3996e-05 1.4567e-05 1.4571e-05 1.3777e-05 1.3730e-05 1.3698e-05 1.4397e-05 1.3953e-05 1.2895e-05 1.2791e-05 1.2861e-05 1.2805e-05 1.2773e-05 1.2752e-05 1.2747e-05 1.2744e-05 1.2733e-05 1.2730e-05 1.2735e-05 1.2729e-05 1.2722e-05 1.2724e-05 1.2725e-05 1.2728e-05 1.2737e-05 1.2717e-05 1.2734e-05 1.2726e-05 1.2728e-05 1.2734e-05 1.2732e-05 1.2730e-05 1.2722e-05 1.2720e-05 1.2726e-05 1.2733e-05 1.2732e-05 1.2727e-05 1.2723e-05 1.2729e-05 1.2730e-05 1.2729e-05 1.2735e-05 1.2731e-05 1.2731e-05 1.2723e-05 1.2724e-05 1.2734e-05 1.2733e-05 1.2732e-05 1.2725e-05 1.2725e-05 1.2732e-05 1.2747e-05 1.2726e-05 1.2732e-05 1.2721e-05 1.2714e-05 1.2735e-05 1.2735e-05 1.7670e-03 1.4702e-03 1.1479e-03 8.8722e-04 6.7374e-04 5.5448e-04 4.2032e-04 3.3109e-04 2.6756e-04 1.8858e-04 1.7181e-04 1.2490e-04 1.0309e-04 6.8799e-05 5.8000e-05 4.9539e-05 3.8505e-05 2.9484e-05 2.4167e-05 2.0360e-05 1.5494e-05 1.4720e-05 1.3570e-05 1.3810e-05 1.2912e-05 1.3192e-05 1.3328e-05 1.3662e-05 1.3250e-05 1.3016e-05 1.2883e-05 1.2806e-05 1.2751e-05 1.2719e-05 1.2699e-05 1.2694e-05 1.2691e-05 1.2680e-05 1.2677e-05 1.2682e-05 1.2676e-05 1.2669e-05 1.2671e-05 1.2672e-05 1.2675e-05 1.2684e-05 1.2665e-05 1.2681e-05 1.2673e-05 1.2675e-05 1.2681e-05 1.2679e-05 1.2677e-05 1.2669e-05 1.2667e-05 1.2673e-05 1.2680e-05 1.2679e-05 1.2674e-05 1.2670e-05 1.2676e-05 1.2677e-05 1.2676e-05 1.2682e-05 1.2678e-05 1.2678e-05 1.2670e-05 1.2671e-05 1.2681e-05 1.2680e-05 1.2679e-05 1.2672e-05 1.2672e-05 1.2679e-05 1.2693e-05 1.2673e-05 1.2679e-05 1.2668e-05 1.2661e-05 1.2682e-05 1.2681e-05 1.7523e-03 1.4270e-03 1.1744e-03 8.5298e-04 6.3491e-04 4.6198e-04 4.2697e-04 3.2493e-04 2.7719e-04 2.0293e-04 1.6634e-04 1.2679e-04 9.9050e-05 7.6904e-05 5.9813e-05 4.6939e-05 3.2481e-05 3.2126e-05 2.3635e-05 1.9443e-05 1.8582e-05 1.4501e-05 1.3848e-05 1.3875e-05 1.3649e-05 1.3844e-05 1.3247e-05 1.3128e-05 1.3198e-05 1.2977e-05 1.2854e-05 1.2784e-05 1.2733e-05 1.2705e-05 1.2686e-05 1.2682e-05 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