# # # 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) 20 # 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. # 3.43382317e+03 2.70149722e+03 2.12515492e+03 1.67161203e+03 1.31473490e+03 1.03394633e+03 8.13043720e+02 6.39271212e+02 5.02586607e+02 3.95084894e+02 3.10544592e+02 2.44069498e+02 1.91808117e+02 1.50732760e+02 1.18467299e+02 9.31539608e+01 7.33517074e+01 5.79595524e+01 4.61546406e+01 3.73290384e+01 3.10076399e+01 2.67512336e+01 2.40920749e+01 2.25508499e+01 2.17100144e+01 2.12675655e+01 2.10369490e+01 2.09151844e+01 2.08491271e+01 2.08121040e+01 2.07906948e+01 2.07779906e+01 2.07703020e+01 2.07655823e+01 2.07626574e+01 2.07608332e+01 2.07596906e+01 2.07589728e+01 2.07585214e+01 2.07582373e+01 2.07580581e+01 2.07579453e+01 2.07578736e+01 2.07578289e+01 2.07578005e+01 2.07577826e+01 2.07577713e+01 2.07577641e+01 2.07577597e+01 2.07577569e+01 2.07577551e+01 2.07577542e+01 2.07577533e+01 2.07577528e+01 2.07577524e+01 2.07577524e+01 2.07577523e+01 2.07577523e+01 2.07577521e+01 2.07577521e+01 2.07577521e+01 2.07577520e+01 2.07577521e+01 2.07577523e+01 2.07577521e+01 2.07577520e+01 2.07577519e+01 2.07577519e+01 2.07577521e+01 2.07577522e+01 2.07577523e+01 2.07577521e+01 2.07577521e+01 2.07577518e+01 2.07577522e+01 2.07577522e+01 2.07577521e+01 2.07577523e+01 2.07577520e+01 2.07577520e+01 2.07577522e+01 3.40098346e+03 2.67541161e+03 2.10443491e+03 1.65515321e+03 1.30166123e+03 1.02356144e+03 8.04794789e+02 6.32718871e+02 4.97381841e+02 3.90950628e+02 3.07260542e+02 2.41460799e+02 1.89735812e+02 1.49086345e+02 1.17158853e+02 9.21133330e+01 7.25227012e+01 5.72966038e+01 4.56201579e+01 3.68913443e+01 3.06397155e+01 2.64305328e+01 2.38009733e+01 2.22769449e+01 2.14455001e+01 2.10079938e+01 2.07799465e+01 2.06595403e+01 2.05942175e+01 2.05576054e+01 2.05364360e+01 2.05238731e+01 2.05162696e+01 2.05116014e+01 2.05087089e+01 2.05069048e+01 2.05057748e+01 2.05050650e+01 2.05046186e+01 2.05043376e+01 2.05041604e+01 2.05040488e+01 2.05039780e+01 2.05039337e+01 2.05039056e+01 2.05038880e+01 2.05038768e+01 2.05038697e+01 2.05038653e+01 2.05038625e+01 2.05038607e+01 2.05038598e+01 2.05038589e+01 2.05038584e+01 2.05038580e+01 2.05038581e+01 2.05038580e+01 2.05038579e+01 2.05038578e+01 2.05038578e+01 2.05038578e+01 2.05038577e+01 2.05038578e+01 2.05038580e+01 2.05038578e+01 2.05038577e+01 2.05038576e+01 2.05038576e+01 2.05038578e+01 2.05038579e+01 2.05038580e+01 2.05038578e+01 2.05038578e+01 2.05038575e+01 2.05038578e+01 2.05038579e+01 2.05038578e+01 2.05038580e+01 2.05038577e+01 2.05038577e+01 2.05038578e+01 3.36814402e+03 2.64932646e+03 2.08371455e+03 1.63869432e+03 1.28858774e+03 1.01317668e+03 7.96545914e+02 6.26166519e+02 4.92177095e+02 3.86816346e+02 3.03976566e+02 2.38852152e+02 1.87663491e+02 1.47439893e+02 1.15850374e+02 9.10727248e+01 7.16937022e+01 5.66336544e+01 4.50856705e+01 3.64536568e+01 3.02718029e+01 2.61098232e+01 2.35098761e+01 2.20030410e+01 2.11809850e+01 2.07484191e+01 2.05229485e+01 2.04038959e+01 2.03393063e+01 2.03031069e+01 2.02821749e+01 2.02697527e+01 2.02622343e+01 2.02576190e+01 2.02547588e+01 2.02529736e+01 2.02518562e+01 2.02511544e+01 2.02507129e+01 2.02504351e+01 2.02502598e+01 2.02501495e+01 2.02500795e+01 2.02500357e+01 2.02500079e+01 2.02499905e+01 2.02499794e+01 2.02499724e+01 2.02499681e+01 2.02499653e+01 2.02499635e+01 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2.54684260e+01 2.29276745e+01 2.14552292e+01 2.06519515e+01 2.02292710e+01 2.00089443e+01 1.98926062e+01 1.98294853e+01 1.97941095e+01 1.97736509e+01 1.97615104e+01 1.97541624e+01 1.97496525e+01 1.97468571e+01 1.97451135e+01 1.97440215e+01 1.97433355e+01 1.97429040e+01 1.97426324e+01 1.97424611e+01 1.97423533e+01 1.97422849e+01 1.97422421e+01 1.97422149e+01 1.97421979e+01 1.97421871e+01 1.97421802e+01 1.97421760e+01 1.97421733e+01 1.97421716e+01 1.97421707e+01 1.97421698e+01 1.97421693e+01 1.97421690e+01 1.97421690e+01 1.97421689e+01 1.97421689e+01 1.97421687e+01 1.97421687e+01 1.97421687e+01 1.97421686e+01 1.97421687e+01 1.97421689e+01 1.97421687e+01 1.97421686e+01 1.97421685e+01 1.97421685e+01 1.97421687e+01 1.97421688e+01 1.97421689e+01 1.97421687e+01 1.97421687e+01 1.97421684e+01 1.97421688e+01 1.97421688e+01 1.97421687e+01 1.97421689e+01 1.97421686e+01 1.97421686e+01 1.97421688e+01 3.26962598e+03 2.57107053e+03 2.02155340e+03 1.58931819e+03 1.24936672e+03 9.82022428e+02 7.71799151e+02 6.06509446e+02 4.76562958e+02 3.74413497e+02 2.94124483e+02 2.31026123e+02 1.81446541e+02 1.42500607e+02 1.11924985e+02 8.79508578e+01 6.92066802e+01 5.46447902e+01 4.34822252e+01 3.51405754e+01 2.91680487e+01 2.51477233e+01 2.26365745e+01 2.11813222e+01 2.03874387e+01 1.99696939e+01 1.97519430e+01 1.96369621e+01 1.95745791e+01 1.95396123e+01 1.95193936e+01 1.95073938e+01 1.95001290e+01 1.94956700e+01 1.94929069e+01 1.94911836e+01 1.94901042e+01 1.94894261e+01 1.94889996e+01 1.94887312e+01 1.94885619e+01 1.94884553e+01 1.94883877e+01 1.94883454e+01 1.94883185e+01 1.94883017e+01 1.94882910e+01 1.94882842e+01 1.94882801e+01 1.94882774e+01 1.94882757e+01 1.94882748e+01 1.94882740e+01 1.94882735e+01 1.94882731e+01 1.94882731e+01 1.94882730e+01 1.94882730e+01 1.94882729e+01 1.94882729e+01 1.94882729e+01 1.94882728e+01 1.94882729e+01 1.94882730e+01 1.94882729e+01 1.94882728e+01 1.94882727e+01 1.94882727e+01 1.94882729e+01 1.94882730e+01 1.94882731e+01 1.94882729e+01 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1.71100072e+01 7.57263742e+00 3.56079632e+00 1.85094933e+00 1.12394300e+00 8.31442704e-01 7.39513167e-01 7.43728548e-01 7.93691502e-01 3.76746692e+25 2.83757643e+25 2.13082628e+25 1.59476519e+25 1.18907866e+25 8.82815464e+24 6.52241985e+24 4.79182680e+24 3.49737975e+24 2.53295048e+24 1.81764648e+24 1.28992756e+24 9.03078452e+23 6.21721956e+23 4.19137413e+23 2.75191185e+23 1.74737282e+23 1.06370858e+23 6.14514402e+22 3.33418736e+22 1.68532984e+22 7.91917701e+21 3.48145169e+21 1.45243417e+21 5.85312218e+20 2.31581345e+20 9.10327894e+19 3.58005563e+19 1.41279523e+19 5.59694173e+18 2.22396189e+18 8.85274983e+17 3.52661898e+17 1.40506494e+17 5.59725374e+16 2.22931459e+16 8.87769314e+15 3.53494139e+15 1.40745370e+15 5.60359679e+14 2.23093826e+14 8.88179221e+13 3.53597226e+13 1.40771286e+13 5.60424882e+12 2.23110272e+12 8.88220941e+11 3.53607974e+11 1.40774153e+11 5.60433137e+10 2.23113010e+10 8.88232026e+09 3.53613406e+09 1.40777187e+09 5.60451297e+08 2.23124223e+08 8.88302144e+07 3.53657494e+07 1.40804961e+07 5.60626417e+06 2.23234662e+06 8.88998650e+05 3.54096719e+05 1.41081887e+05 5.62371833e+04 2.24334309e+04 8.95922770e+03 3.58453535e+03 1.43821057e+03 5.79579522e+02 2.35139692e+02 9.63824723e+01 4.01279045e+01 1.71100069e+01 7.57263755e+00 3.56079634e+00 1.85094932e+00 1.12394301e+00 8.31442692e-01 7.39513167e-01 7.43728554e-01 9.46344905e+25 7.12766973e+25 5.35239361e+25 4.00586905e+25 2.98683056e+25 2.21753219e+25 1.63835779e+25 1.20365247e+25 8.78502073e+24 6.36248395e+24 4.56572154e+24 3.24015154e+24 2.26843051e+24 1.56169495e+24 1.05282558e+24 6.91249003e+23 4.38920209e+23 2.67191515e+23 1.54359039e+23 8.37509999e+22 4.23335716e+22 1.98920733e+22 8.74501126e+21 3.64834969e+21 1.47023782e+21 5.81706039e+20 2.28664028e+20 8.99269316e+19 3.54878117e+19 1.40588820e+19 5.58633969e+18 2.22371022e+18 8.85846637e+17 3.52936356e+17 1.40596657e+17 5.59978505e+16 2.22997569e+16 8.87937127e+15 3.53536382e+15 1.40755986e+15 5.60386343e+14 2.23100526e+14 8.88196029e+13 3.53601456e+13 1.40772348e+13 5.60427550e+12 2.23110941e+12 8.88222620e+11 3.53608399e+11 1.40774259e+11 5.60433404e+10 2.23113079e+10 8.88232186e+09 3.53613447e+09 1.40777197e+09 5.60451329e+08 2.23124230e+08 8.88302162e+07 3.53657496e+07 1.40804963e+07 5.60626420e+06 2.23234662e+06 8.88998656e+05 3.54096723e+05 1.41081886e+05 5.62371831e+04 2.24334308e+04 8.95922770e+03 3.58453539e+03 1.43821058e+03 5.79579525e+02 2.35139689e+02 9.63824722e+01 4.01279039e+01 1.71100072e+01 7.57263758e+00 3.56079632e+00 1.85094933e+00 1.12394300e+00 8.31442691e-01 7.39513172e-01 2.37711093e+26 1.79038969e+26 1.34446049e+26 1.00622881e+26 7.50257915e+25 5.57018901e+25 4.11536871e+25 3.02343831e+25 2.20669744e+25 1.59818371e+25 1.14685740e+25 8.13889268e+24 5.69803982e+24 3.92280034e+24 2.64457829e+24 1.73633899e+24 1.10251772e+24 6.71154740e+23 3.87732375e+23 2.10373000e+23 1.06337124e+23 4.99666290e+22 2.19664751e+22 9.16424007e+21 3.69307043e+21 1.46117951e+21 5.74378071e+20 2.25886239e+20 8.91413526e+19 3.53143149e+19 1.40322509e+19 5.58570752e+18 2.22514615e+18 8.86536043e+17 3.53162835e+17 1.40660241e+17 5.60144566e+16 2.23039721e+16 8.88043237e+15 3.53563048e+15 1.40762683e+15 5.60403173e+14 2.23104748e+14 8.88206653e+13 3.53604121e+13 1.40773018e+13 5.60429232e+12 2.23111363e+12 8.88223686e+11 3.53608665e+11 1.40774326e+11 5.60433578e+10 2.23113120e+10 8.88232289e+09 3.53613472e+09 1.40777205e+09 5.60451346e+08 2.23124235e+08 8.88302168e+07 3.53657499e+07 1.40804964e+07 5.60626419e+06 2.23234663e+06 8.88998665e+05 3.54096720e+05 1.41081885e+05 5.62371828e+04 2.24334308e+04 8.95922780e+03 3.58453541e+03 1.43821058e+03 5.79579519e+02 2.35139689e+02 9.63824708e+01 4.01279046e+01 1.71100073e+01 7.57263754e+00 3.56079635e+00 1.85094931e+00 1.12394300e+00 8.31442697e-01 5.97103268e+26 4.49725557e+26 3.37713206e+26 2.52753250e+26 1.88456268e+26 1.39916822e+26 1.03373388e+26 7.59453368e+25 5.54297335e+25 4.01445598e+25 2.88077554e+25 2.04439741e+25 1.43128289e+25 9.85362895e+24 6.64288032e+24 4.36148635e+24 2.76939929e+24 1.68586448e+24 9.73939692e+23 5.28433085e+23 2.67106779e+23 1.25510497e+23 5.51772908e+22 2.30195303e+22 9.27657349e+21 3.67031697e+21 1.44277248e+21 5.67400579e+20 2.23912954e+20 8.87055485e+19 3.52474206e+19 1.40306629e+19 5.58931441e+18 2.22687786e+18 8.87104933e+17 3.53322550e+17 1.40701953e+17 5.60250449e+16 2.23066375e+16 8.88110218e+15 3.53579872e+15 1.40766911e+15 5.60413779e+14 2.23107417e+14 8.88213349e+13 3.53605805e+13 1.40773440e+13 5.60430291e+12 2.23111631e+12 8.88224355e+11 3.53608833e+11 1.40774370e+11 5.60433680e+10 2.23113145e+10 8.88232352e+09 3.53613492e+09 1.40777209e+09 5.60451358e+08 2.23124236e+08 8.88302177e+07 3.53657501e+07 1.40804963e+07 5.60626423e+06 2.23234665e+06 8.88998658e+05 3.54096719e+05 1.41081885e+05 5.62371828e+04 2.24334310e+04 8.95922784e+03 3.58453543e+03 1.43821057e+03 5.79579518e+02 2.35139686e+02 9.63824725e+01 4.01279048e+01 1.71100072e+01 7.57263761e+00 3.56079630e+00 1.85094931e+00 1.12394301e+00 1.49985560e+27 1.12965952e+27 8.48297219e+26 6.34887458e+26 4.73380742e+26 3.51455166e+26 2.59662211e+26 1.90766061e+26 1.39233195e+26 1.00838575e+26 7.23618099e+25 5.13529411e+25 3.59522007e+25 2.47511969e+25 1.66861609e+25 1.09555584e+25 6.95641651e+24 4.23470012e+24 2.44642590e+24 1.32736390e+24 6.70941894e+23 3.15268115e+23 1.38599088e+23 5.78224458e+22 2.33016991e+22 9.21941940e+21 3.62408062e+21 1.42524582e+21 5.62443911e+20 2.22818264e+20 8.85375174e+19 3.52434318e+19 1.40397230e+19 5.59366427e+18 2.22830684e+18 8.87506118e+17 3.53427327e+17 1.40728550e+17 5.60317400e+16 2.23083200e+16 8.88152478e+15 3.53590491e+15 1.40769575e+15 5.60420482e+14 2.23109099e+14 8.88217578e+13 3.53606866e+13 1.40773706e+13 5.60430964e+12 2.23111799e+12 8.88224778e+11 3.53608943e+11 1.40774395e+11 5.60433744e+10 2.23113161e+10 8.88232403e+09 3.53613503e+09 1.40777212e+09 5.60451361e+08 2.23124238e+08 8.88302181e+07 3.53657501e+07 1.40804964e+07 5.60626428e+06 2.23234664e+06 8.88998654e+05 3.54096717e+05 1.41081884e+05 5.62371835e+04 2.24334311e+04 8.95922788e+03 3.58453539e+03 1.43821057e+03 5.79579510e+02 2.35139690e+02 9.63824729e+01 4.01279046e+01 1.71100074e+01 7.57263750e+00 3.56079630e+00 1.85094932e+00 3.76746692e+27 2.83757643e+27 2.13082628e+27 1.59476519e+27 1.18907866e+27 8.82815464e+26 6.52241985e+26 4.79182680e+26 3.49737975e+26 2.53295048e+26 1.81764648e+26 1.28992756e+26 9.03078452e+25 6.21721956e+25 4.19137413e+25 2.75191185e+25 1.74737282e+25 1.06370858e+25 6.14514402e+24 3.33418736e+24 1.68532984e+24 7.91917701e+23 3.48145169e+23 1.45243417e+23 5.85312218e+22 2.31581345e+22 9.10327894e+21 3.58005563e+21 1.41279523e+21 5.59694173e+20 2.22396189e+20 8.85274982e+19 3.52661898e+19 1.40506494e+19 5.59725373e+18 2.22931458e+18 8.87769307e+17 3.53494135e+17 1.40745367e+17 5.60359662e+16 2.23093815e+16 8.88179151e+15 3.53597182e+15 1.40771259e+15 5.60424707e+14 2.23110161e+14 8.88220244e+13 3.53607534e+13 1.40773875e+13 5.60431386e+12 2.23111905e+12 8.88225054e+11 3.53609007e+11 1.40774411e+11 5.60433784e+10 2.23113174e+10 8.88232430e+09 3.53613511e+09 1.40777213e+09 5.60451367e+08 2.23124240e+08 8.88302180e+07 3.53657503e+07 1.40804966e+07 5.60626424e+06 2.23234663e+06 8.88998650e+05 3.54096717e+05 1.41081886e+05 5.62371837e+04 2.24334312e+04 8.95922779e+03 3.58453539e+03 1.43821055e+03 5.79579520e+02 2.35139691e+02 9.63824724e+01 4.01279050e+01 1.71100071e+01 7.57263750e+00 3.56079632e+00 9.46344905e+27 7.12766973e+27 5.35239361e+27 4.00586905e+27 2.98683056e+27 2.21753219e+27 1.63835779e+27 1.20365247e+27 8.78502073e+26 6.36248395e+26 4.56572154e+26 3.24015154e+26 2.26843051e+26 1.56169495e+26 1.05282558e+26 6.91249003e+25 4.38920209e+25 2.67191515e+25 1.54359039e+25 8.37509999e+24 4.23335716e+24 1.98920733e+24 8.74501126e+23 3.64834969e+23 1.47023782e+23 5.81706039e+22 2.28664028e+22 8.99269316e+21 3.54878117e+21 1.40588820e+21 5.58633969e+20 2.22371021e+20 8.85846636e+19 3.52936355e+19 1.40596657e+19 5.59978503e+18 2.22997568e+18 8.87937120e+17 3.53536378e+17 1.40755983e+17 5.60386326e+16 2.23100515e+16 8.88195960e+15 3.53601412e+15 1.40772320e+15 5.60427375e+14 2.23110831e+14 8.88221922e+13 3.53607959e+13 1.40773981e+13 5.60431653e+12 2.23111974e+12 8.88225214e+11 3.53609048e+11 1.40774421e+11 5.60433816e+10 2.23113181e+10 8.88232449e+09 3.53613513e+09 1.40777215e+09 5.60451370e+08 2.23124239e+08 8.88302185e+07 3.53657507e+07 1.40804965e+07 5.60626422e+06 2.23234662e+06 8.88998650e+05 3.54096721e+05 1.41081887e+05 5.62371840e+04 2.24334310e+04 8.95922778e+03 3.58453533e+03 1.43821057e+03 5.79579523e+02 2.35139689e+02 9.63824733e+01 4.01279044e+01 1.71100071e+01 7.57263755e+00 2.37711093e+28 1.79038969e+28 1.34446049e+28 1.00622881e+28 7.50257915e+27 5.57018901e+27 4.11536871e+27 3.02343831e+27 2.20669744e+27 1.59818371e+27 1.14685740e+27 8.13889268e+26 5.69803982e+26 3.92280034e+26 2.64457829e+26 1.73633899e+26 1.10251772e+26 6.71154740e+25 3.87732375e+25 2.10373000e+25 1.06337124e+25 4.99666290e+24 2.19664751e+24 9.16424007e+23 3.69307043e+23 1.46117951e+23 5.74378071e+22 2.25886239e+22 8.91413526e+21 3.53143149e+21 1.40322509e+21 5.58570752e+20 2.22514614e+20 8.86536042e+19 3.53162835e+19 1.40660240e+19 5.60144564e+18 2.23039720e+18 8.88043230e+17 3.53563043e+17 1.40762681e+17 5.60403156e+16 2.23104737e+16 8.88206583e+15 3.53604077e+15 1.40772990e+15 5.60429057e+14 2.23111252e+14 8.88222989e+13 3.53608225e+13 1.40774048e+13 5.60431827e+12 2.23112015e+12 8.88225317e+11 3.53609073e+11 1.40774429e+11 5.60433833e+10 2.23113186e+10 8.88232454e+09 3.53613517e+09 1.40777215e+09 5.60451369e+08 2.23124241e+08 8.88302194e+07 3.53657504e+07 1.40804964e+07 5.60626419e+06 2.23234662e+06 8.88998660e+05 3.54096723e+05 1.41081887e+05 5.62371834e+04 2.24334310e+04 8.95922765e+03 3.58453540e+03 1.43821058e+03 5.79579519e+02 2.35139692e+02 9.63824719e+01 4.01279044e+01 1.71100072e+01 # # uncertainties in the thermally averaged relativistic Gaunt factors 2.3302e-03 2.0404e-03 1.4131e-03 1.1479e-03 8.9573e-04 6.9464e-04 5.6911e-04 4.4225e-04 3.1143e-04 2.9213e-04 2.1269e-04 1.7439e-04 1.4440e-04 1.0936e-04 8.5256e-05 6.3106e-05 5.2659e-05 4.3997e-05 3.3570e-05 2.6405e-05 2.1084e-05 1.8004e-05 1.6332e-05 1.5871e-05 1.5297e-05 1.5456e-05 1.4597e-05 1.4814e-05 1.4969e-05 1.4891e-05 1.6064e-05 1.5697e-05 1.5609e-05 1.5547e-05 1.5517e-05 1.5507e-05 1.5495e-05 1.5473e-05 1.5467e-05 1.5477e-05 1.5474e-05 1.5471e-05 1.5456e-05 1.5460e-05 1.5462e-05 1.5469e-05 1.5466e-05 1.5464e-05 1.5455e-05 1.5458e-05 1.5460e-05 1.5467e-05 1.5464e-05 1.5461e-05 1.5457e-05 1.5461e-05 1.5464e-05 1.5458e-05 1.5469e-05 1.5466e-05 1.5463e-05 1.5456e-05 1.5462e-05 1.5469e-05 1.5468e-05 1.5462e-05 1.5459e-05 1.5452e-05 1.5466e-05 1.5464e-05 1.5472e-05 1.5468e-05 1.5469e-05 1.5445e-05 1.5470e-05 1.5466e-05 1.5470e-05 1.5469e-05 1.5451e-05 1.5461e-05 1.5469e-05 2.3627e-03 2.0678e-03 1.4379e-03 1.1842e-03 9.2464e-04 7.4156e-04 5.6311e-04 4.2829e-04 3.4489e-04 2.8181e-04 2.2322e-04 1.5940e-04 1.3548e-04 9.1363e-05 7.8821e-05 6.0289e-05 5.2078e-05 4.0967e-05 3.0643e-05 2.6310e-05 2.2926e-05 1.8184e-05 1.7821e-05 1.5468e-05 1.5057e-05 1.4614e-05 1.5924e-05 1.4808e-05 1.4943e-05 1.5025e-05 1.4809e-05 1.4684e-05 1.4617e-05 1.5171e-05 1.5136e-05 1.5123e-05 1.5108e-05 1.5085e-05 1.5079e-05 1.5088e-05 1.5085e-05 1.5082e-05 1.5066e-05 1.5070e-05 1.5072e-05 1.5079e-05 1.5076e-05 1.5074e-05 1.5065e-05 1.5068e-05 1.5070e-05 1.5077e-05 1.5074e-05 1.5071e-05 1.5066e-05 1.5071e-05 1.5074e-05 1.5068e-05 1.5079e-05 1.5076e-05 1.5073e-05 1.5066e-05 1.5072e-05 1.5079e-05 1.5078e-05 1.5072e-05 1.5069e-05 1.5061e-05 1.5076e-05 1.5074e-05 1.5082e-05 1.5078e-05 1.5079e-05 1.5055e-05 1.5080e-05 1.5076e-05 1.5080e-05 1.5079e-05 1.5060e-05 1.5070e-05 1.5079e-05 2.3359e-03 1.8745e-03 1.4563e-03 1.0866e-03 8.4976e-04 6.6938e-04 5.9009e-04 4.3074e-04 3.5418e-04 2.6935e-04 2.0223e-04 1.6324e-04 1.3441e-04 1.0411e-04 8.4346e-05 6.1843e-05 5.1284e-05 3.8903e-05 3.4504e-05 2.3015e-05 2.1119e-05 1.9876e-05 1.6139e-05 1.5183e-05 1.5632e-05 1.5381e-05 1.3794e-05 1.4519e-05 1.5540e-05 1.4790e-05 1.4619e-05 1.4522e-05 1.4472e-05 1.4433e-05 1.4418e-05 1.4967e-05 1.4954e-05 1.4932e-05 1.4927e-05 1.4937e-05 1.4933e-05 1.4931e-05 1.4915e-05 1.4920e-05 1.4921e-05 1.4928e-05 1.4926e-05 1.4923e-05 1.4915e-05 1.4917e-05 1.4919e-05 1.4927e-05 1.4923e-05 1.4920e-05 1.4916e-05 1.4921e-05 1.4923e-05 1.4917e-05 1.4928e-05 1.4925e-05 1.4922e-05 1.4916e-05 1.4921e-05 1.4928e-05 1.4927e-05 1.4921e-05 1.4918e-05 1.4911e-05 1.4925e-05 1.4923e-05 1.4931e-05 1.4927e-05 1.4929e-05 1.4904e-05 1.4929e-05 1.4925e-05 1.4929e-05 1.4928e-05 1.4910e-05 1.4920e-05 1.4928e-05 2.3998e-03 1.8244e-03 1.5348e-03 1.1081e-03 9.1273e-04 7.1688e-04 5.7300e-04 4.4569e-04 3.4698e-04 2.6854e-04 2.1705e-04 1.6849e-04 1.2573e-04 9.6263e-05 7.8031e-05 6.7577e-05 4.9336e-05 4.1272e-05 3.1705e-05 2.6671e-05 1.9360e-05 1.9414e-05 1.5519e-05 1.4640e-05 1.4190e-05 1.4818e-05 1.5330e-05 1.5492e-05 1.4929e-05 1.4063e-05 1.3839e-05 1.3708e-05 1.3637e-05 1.3584e-05 1.5015e-05 1.5001e-05 1.4985e-05 1.4962e-05 1.4955e-05 1.4964e-05 1.4961e-05 1.4957e-05 1.4942e-05 1.4946e-05 1.4948e-05 1.4954e-05 1.4952e-05 1.4949e-05 1.4941e-05 1.4944e-05 1.4946e-05 1.4953e-05 1.4950e-05 1.4946e-05 1.4943e-05 1.4947e-05 1.4950e-05 1.4944e-05 1.4955e-05 1.4951e-05 1.4949e-05 1.4942e-05 1.4947e-05 1.4955e-05 1.4954e-05 1.4948e-05 1.4945e-05 1.4938e-05 1.4952e-05 1.4950e-05 1.4958e-05 1.4954e-05 1.4955e-05 1.4931e-05 1.4955e-05 1.4952e-05 1.4955e-05 1.4954e-05 1.4937e-05 1.4946e-05 1.4955e-05 2.2373e-03 1.8176e-03 1.4413e-03 1.1666e-03 9.8804e-04 6.5473e-04 5.1712e-04 4.5546e-04 3.0154e-04 2.7562e-04 2.0800e-04 1.7308e-04 1.2538e-04 1.0852e-04 8.0840e-05 6.5002e-05 5.0607e-05 3.3480e-05 3.0677e-05 2.3868e-05 2.0905e-05 1.6249e-05 1.6340e-05 1.5290e-05 1.5237e-05 1.4086e-05 1.4717e-05 1.4850e-05 1.5288e-05 1.4970e-05 1.5329e-05 1.5169e-05 1.5081e-05 1.5303e-05 1.5278e-05 1.5270e-05 1.5259e-05 1.5240e-05 1.5235e-05 1.5244e-05 1.5242e-05 1.5239e-05 1.5225e-05 1.5229e-05 1.5231e-05 1.5237e-05 1.5235e-05 1.5232e-05 1.5224e-05 1.5227e-05 1.5229e-05 1.5236e-05 1.5232e-05 1.5229e-05 1.5226e-05 1.5230e-05 1.5232e-05 1.5227e-05 1.5237e-05 1.5234e-05 1.5231e-05 1.5225e-05 1.5230e-05 1.5237e-05 1.5236e-05 1.5231e-05 1.5228e-05 1.5221e-05 1.5235e-05 1.5233e-05 1.5240e-05 1.5236e-05 1.5237e-05 1.5215e-05 1.5238e-05 1.5234e-05 1.5238e-05 1.5237e-05 1.5220e-05 1.5229e-05 1.5237e-05 2.0394e-03 1.8701e-03 1.4413e-03 1.1759e-03 8.5400e-04 6.7458e-04 5.5200e-04 4.4138e-04 3.3783e-04 2.6617e-04 2.0445e-04 1.6501e-04 1.2846e-04 9.6729e-05 7.6919e-05 5.8710e-05 5.1984e-05 3.7903e-05 3.0670e-05 2.7148e-05 2.0430e-05 1.6366e-05 1.5936e-05 1.5392e-05 1.3683e-05 1.4772e-05 1.4657e-05 1.4830e-05 1.3653e-05 1.3709e-05 1.3994e-05 1.3895e-05 1.3842e-05 1.4223e-05 1.4205e-05 1.4202e-05 1.4193e-05 1.4175e-05 1.4171e-05 1.4182e-05 1.4179e-05 1.4177e-05 1.4162e-05 1.4166e-05 1.4168e-05 1.4175e-05 1.4172e-05 1.4170e-05 1.4162e-05 1.4164e-05 1.4166e-05 1.4174e-05 1.4170e-05 1.4167e-05 1.4163e-05 1.4168e-05 1.4170e-05 1.4165e-05 1.4175e-05 1.4172e-05 1.4169e-05 1.4163e-05 1.4168e-05 1.4175e-05 1.4174e-05 1.4169e-05 1.4165e-05 1.4158e-05 1.4172e-05 1.4170e-05 1.4178e-05 1.4174e-05 1.4175e-05 1.4152e-05 1.4176e-05 1.4172e-05 1.4176e-05 1.4175e-05 1.4157e-05 1.4167e-05 1.4175e-05 2.3357e-03 1.8065e-03 1.3937e-03 1.1213e-03 9.0006e-04 7.0059e-04 5.2035e-04 3.9809e-04 3.5162e-04 2.3375e-04 2.0413e-04 1.5599e-04 1.2687e-04 9.6273e-05 7.7477e-05 6.1582e-05 5.2782e-05 3.7018e-05 2.6727e-05 2.2897e-05 2.0200e-05 1.7581e-05 1.5744e-05 1.5115e-05 1.5519e-05 1.4087e-05 1.5207e-05 1.4081e-05 1.4475e-05 1.4137e-05 1.3560e-05 1.4809e-05 1.4707e-05 1.4636e-05 1.4600e-05 1.4586e-05 1.4571e-05 1.4549e-05 1.4543e-05 1.4551e-05 1.4548e-05 1.4545e-05 1.4530e-05 1.4534e-05 1.4536e-05 1.4542e-05 1.4540e-05 1.4537e-05 1.4530e-05 1.4532e-05 1.4534e-05 1.4541e-05 1.4538e-05 1.4535e-05 1.4531e-05 1.4535e-05 1.4537e-05 1.4532e-05 1.4542e-05 1.4539e-05 1.4537e-05 1.4531e-05 1.4535e-05 1.4542e-05 1.4541e-05 1.4536e-05 1.4533e-05 1.4526e-05 1.4540e-05 1.4538e-05 1.4545e-05 1.4541e-05 1.4543e-05 1.4520e-05 1.4543e-05 1.4540e-05 1.4543e-05 1.4542e-05 1.4525e-05 1.4534e-05 1.4542e-05 2.3863e-03 1.5806e-03 1.3870e-03 1.0856e-03 8.6481e-04 6.9422e-04 5.1988e-04 4.0691e-04 3.3986e-04 2.6227e-04 2.0462e-04 1.5800e-04 1.2805e-04 9.6799e-05 7.6364e-05 6.1569e-05 4.4112e-05 3.7646e-05 3.1857e-05 2.4051e-05 1.7898e-05 1.6740e-05 1.5035e-05 1.5109e-05 1.3840e-05 1.3852e-05 1.4610e-05 1.3867e-05 1.4081e-05 1.4621e-05 1.4326e-05 1.4156e-05 1.4062e-05 1.3997e-05 1.3964e-05 1.3953e-05 1.3939e-05 1.3918e-05 1.3912e-05 1.3921e-05 1.3918e-05 1.3915e-05 1.3900e-05 1.3905e-05 1.3906e-05 1.3912e-05 1.3910e-05 1.3908e-05 1.3900e-05 1.3902e-05 1.3904e-05 1.3911e-05 1.3908e-05 1.3905e-05 1.3901e-05 1.3906e-05 1.3908e-05 1.3903e-05 1.3913e-05 1.3910e-05 1.3907e-05 1.3901e-05 1.3906e-05 1.3913e-05 1.3912e-05 1.3906e-05 1.3903e-05 1.3896e-05 1.3910e-05 1.3908e-05 1.3916e-05 1.3912e-05 1.3913e-05 1.3890e-05 1.3914e-05 1.3910e-05 1.3914e-05 1.3912e-05 1.3895e-05 1.3905e-05 1.3913e-05 2.3171e-03 1.7807e-03 1.3919e-03 1.1311e-03 8.6395e-04 6.6085e-04 5.3752e-04 4.0080e-04 3.3005e-04 2.7083e-04 1.8040e-04 1.5258e-04 1.1830e-04 1.0214e-04 7.8616e-05 6.4005e-05 4.8073e-05 3.4278e-05 3.0139e-05 2.2041e-05 1.9836e-05 1.6461e-05 1.4510e-05 1.5556e-05 1.3774e-05 1.3664e-05 1.3940e-05 1.3806e-05 1.3643e-05 1.3396e-05 1.3252e-05 1.4529e-05 1.4422e-05 1.4349e-05 1.4311e-05 1.4296e-05 1.4280e-05 1.4258e-05 1.4251e-05 1.4259e-05 1.4255e-05 1.4252e-05 1.4238e-05 1.4242e-05 1.4244e-05 1.4249e-05 1.4247e-05 1.4245e-05 1.4237e-05 1.4239e-05 1.4241e-05 1.4248e-05 1.4245e-05 1.4242e-05 1.4238e-05 1.4243e-05 1.4245e-05 1.4240e-05 1.4249e-05 1.4246e-05 1.4244e-05 1.4238e-05 1.4243e-05 1.4249e-05 1.4248e-05 1.4243e-05 1.4240e-05 1.4234e-05 1.4247e-05 1.4245e-05 1.4252e-05 1.4249e-05 1.4250e-05 1.4228e-05 1.4250e-05 1.4247e-05 1.4250e-05 1.4249e-05 1.4233e-05 1.4242e-05 1.4249e-05 1.9394e-03 1.7247e-03 1.2232e-03 1.0688e-03 8.0916e-04 7.0318e-04 5.3608e-04 4.2774e-04 3.1395e-04 2.3644e-04 1.9272e-04 1.5701e-04 1.2151e-04 1.0456e-04 7.3008e-05 5.6407e-05 4.6785e-05 3.2606e-05 2.9978e-05 2.4504e-05 1.8237e-05 1.6516e-05 1.4021e-05 1.3798e-05 1.3577e-05 1.4024e-05 1.3640e-05 1.2769e-05 1.2236e-05 1.4516e-05 1.4038e-05 1.3894e-05 1.3814e-05 1.3758e-05 1.3730e-05 1.3721e-05 1.3710e-05 1.3690e-05 1.3685e-05 1.3694e-05 1.3691e-05 1.3689e-05 1.3675e-05 1.3679e-05 1.3680e-05 1.3686e-05 1.3684e-05 1.3682e-05 1.3674e-05 1.3676e-05 1.3678e-05 1.3685e-05 1.3682e-05 1.3679e-05 1.3675e-05 1.3680e-05 1.3682e-05 1.3677e-05 1.3687e-05 1.3684e-05 1.3681e-05 1.3675e-05 1.3680e-05 1.3687e-05 1.3686e-05 1.3681e-05 1.3677e-05 1.3671e-05 1.3684e-05 1.3682e-05 1.3689e-05 1.3686e-05 1.3687e-05 1.3665e-05 1.3687e-05 1.3684e-05 1.3687e-05 1.3686e-05 1.3670e-05 1.3679e-05 1.3687e-05 2.0435e-03 1.8783e-03 1.3736e-03 1.0711e-03 8.7313e-04 7.0560e-04 5.0667e-04 3.8524e-04 3.0899e-04 2.5380e-04 2.0801e-04 1.4260e-04 1.1699e-04 8.8048e-05 7.1225e-05 5.2001e-05 4.5092e-05 3.6554e-05 2.6056e-05 2.3551e-05 2.1248e-05 1.6165e-05 1.6378e-05 1.3763e-05 1.3504e-05 1.2956e-05 1.2801e-05 1.3935e-05 1.3678e-05 1.3815e-05 1.3635e-05 1.3863e-05 1.3792e-05 1.3733e-05 1.3703e-05 1.3693e-05 1.3680e-05 1.3660e-05 1.3655e-05 1.3664e-05 1.3661e-05 1.3658e-05 1.3644e-05 1.3648e-05 1.3650e-05 1.3655e-05 1.3653e-05 1.3651e-05 1.3644e-05 1.3646e-05 1.3648e-05 1.3654e-05 1.3651e-05 1.3648e-05 1.3645e-05 1.3649e-05 1.3651e-05 1.3646e-05 1.3656e-05 1.3653e-05 1.3650e-05 1.3645e-05 1.3649e-05 1.3656e-05 1.3655e-05 1.3650e-05 1.3647e-05 1.3640e-05 1.3653e-05 1.3651e-05 1.3658e-05 1.3655e-05 1.3656e-05 1.3635e-05 1.3656e-05 1.3653e-05 1.3657e-05 1.3655e-05 1.3639e-05 1.3648e-05 1.3656e-05 2.1013e-03 1.7247e-03 1.3711e-03 9.7939e-04 8.2377e-04 6.2104e-04 5.4037e-04 3.8776e-04 3.3623e-04 2.4133e-04 2.0262e-04 1.3473e-04 1.2050e-04 9.3414e-05 7.5201e-05 5.9537e-05 4.4900e-05 3.4635e-05 2.7747e-05 2.0383e-05 1.8048e-05 1.7546e-05 1.4253e-05 1.3669e-05 1.3250e-05 1.3624e-05 1.2216e-05 1.3300e-05 1.4240e-05 1.3867e-05 1.2855e-05 1.2762e-05 1.2839e-05 1.2791e-05 1.2769e-05 1.2764e-05 1.2755e-05 1.2736e-05 1.2732e-05 1.2742e-05 1.2739e-05 1.2737e-05 1.2722e-05 1.2727e-05 1.2728e-05 1.2734e-05 1.2732e-05 1.2730e-05 1.2722e-05 1.2724e-05 1.2727e-05 1.2733e-05 1.2730e-05 1.2727e-05 1.2723e-05 1.2728e-05 1.2730e-05 1.2725e-05 1.2735e-05 1.2732e-05 1.2729e-05 1.2723e-05 1.2728e-05 1.2735e-05 1.2734e-05 1.2729e-05 1.2725e-05 1.2719e-05 1.2732e-05 1.2730e-05 1.2738e-05 1.2734e-05 1.2735e-05 1.2713e-05 1.2736e-05 1.2732e-05 1.2736e-05 1.2735e-05 1.2718e-05 1.2727e-05 1.2735e-05 2.3048e-03 1.5856e-03 1.3355e-03 1.0446e-03 8.2553e-04 6.7296e-04 5.1355e-04 3.9857e-04 3.1578e-04 2.3950e-04 1.9476e-04 1.5220e-04 1.2175e-04 9.3291e-05 6.3946e-05 5.7880e-05 4.3107e-05 3.6697e-05 2.8035e-05 2.3562e-05 1.7848e-05 1.7210e-05 1.4207e-05 1.2874e-05 1.3694e-05 1.3123e-05 1.2980e-05 1.2596e-05 1.3519e-05 1.3169e-05 1.2966e-05 1.2849e-05 1.2784e-05 1.2738e-05 1.2716e-05 1.2711e-05 1.2701e-05 1.2683e-05 1.2679e-05 1.2688e-05 1.2686e-05 1.2684e-05 1.2670e-05 1.2674e-05 1.2676e-05 1.2681e-05 1.2679e-05 1.2677e-05 1.2670e-05 1.2672e-05 1.2674e-05 1.2680e-05 1.2677e-05 1.2674e-05 1.2671e-05 1.2675e-05 1.2677e-05 1.2672e-05 1.2682e-05 1.2679e-05 1.2676e-05 1.2670e-05 1.2675e-05 1.2682e-05 1.2681e-05 1.2676e-05 1.2673e-05 1.2666e-05 1.2679e-05 1.2677e-05 1.2684e-05 1.2681e-05 1.2682e-05 1.2660e-05 1.2683e-05 1.2679e-05 1.2683e-05 1.2681e-05 1.2665e-05 1.2674e-05 1.2682e-05 2.1606e-03 1.6185e-03 1.3270e-03 1.0385e-03 7.6026e-04 5.9019e-04 4.7830e-04 4.1558e-04 2.8071e-04 2.5320e-04 1.8518e-04 1.5485e-04 1.1223e-04 9.0253e-05 7.5763e-05 5.7835e-05 4.4681e-05 3.3414e-05 2.5325e-05 2.1390e-05 1.8130e-05 1.5549e-05 1.3978e-05 1.3032e-05 1.3252e-05 1.4100e-05 1.3193e-05 1.3071e-05 1.3395e-05 1.3120e-05 1.2930e-05 1.2822e-05 1.2763e-05 1.2721e-05 1.2702e-05 1.2698e-05 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