# k P_nu(k) # a = 0.0677868 # nbins = 695 1.22718e-05 1.86699e+11 1.7355e-05 1.95106e+11 2.12555e-05 1.88603e+11 2.45437e-05 1.77496e+11 2.74407e-05 1.66215e+11 3.00598e-05 1.55854e+11 3.471e-05 1.39001e+11 3.68155e-05 1.30401e+11 3.8807e-05 1.22795e+11 4.07011e-05 1.18633e+11 4.25109e-05 1.1342e+11 4.42468e-05 1.1019e+11 4.5917e-05 1.05423e+11 4.90874e-05 1.01791e+11 5.05981e-05 9.87994e+10 5.2065e-05 9.76756e+10 5.34917e-05 9.43018e+10 5.48814e-05 9.32052e+10 5.62367e-05 9.20158e+10 5.75601e-05 9.16008e+10 6.01195e-05 8.72708e+10 6.13592e-05 8.67992e+10 6.25744e-05 8.51473e+10 6.37664e-05 8.39089e+10 6.60859e-05 8.19387e+10 6.72157e-05 8.06124e+10 6.942e-05 7.98782e+10 7.04964e-05 7.73828e+10 7.15565e-05 7.47675e+10 7.26012e-05 7.52066e+10 7.36311e-05 7.30955e+10 7.46467e-05 7.06469e+10 7.56487e-05 7.1304e+10 7.7614e-05 6.71559e+10 7.85782e-05 6.69549e+10 7.95307e-05 6.47927e+10 8.04719e-05 6.2814e+10 8.14022e-05 6.27226e+10 8.2322e-05 6.09664e+10 8.32317e-05 6.03455e+10 8.50218e-05 5.86648e+10 8.59029e-05 5.71675e+10 8.67751e-05 5.59512e+10 8.76385e-05 5.45382e+10 8.84935e-05 5.59039e+10 8.93404e-05 5.38998e+10 9.01793e-05 5.22551e+10 9.18341e-05 5.11505e+10 9.26504e-05 4.91971e+10 9.34596e-05 4.88901e+10 9.42618e-05 4.76249e+10 9.58462e-05 4.66842e+10 9.66286e-05 4.60782e+10 9.81748e-05 4.53602e+10 9.89388e-05 4.4697e+10 9.9697e-05 4.38618e+10 0.000100947 4.26427e+10 0.000101938 4.28547e+10 0.000102674 4.23784e+10 0.00010413 4.17523e+10 0.000104851 4.12459e+10 0.000105793 4.05702e+10 0.000106983 4.00764e+10 0.000107685 4.01302e+10 0.000108382 4.02712e+10 0.000109763 3.78414e+10 0.000110447 3.91973e+10 0.000111126 3.78955e+10 0.00011207 3.81461e+10 0.000113141 3.72404e+10 0.000113804 3.80609e+10 0.00011512 3.7021e+10 0.000115772 3.72082e+10 0.000116605 3.66406e+10 0.000118768 3.63433e+10 0.000120655 3.64272e+10 0.000121732 3.53994e+10 0.000122718 3.47855e+10 0.000123466 3.48942e+10 0.000125149 3.41335e+10 0.000125749 3.45906e+10 0.000126644 3.42167e+10 0.000127941 3.34507e+10 0.000128708 3.39302e+10 0.000130739 3.21397e+10 0.000131943 3.21228e+10 0.000132953 3.19273e+10 0.000134431 3.14331e+10 0.000135328 3.14003e+10 0.000136101 2.99941e+10 0.000137477 2.98765e+10 0.00013884 2.81503e+10 0.000139516 2.92908e+10 0.000140611 2.85443e+10 0.000141939 2.78259e+10 0.000143463 2.68351e+10 0.000144385 2.76052e+10 0.000145548 2.64168e+10 0.000146631 2.55456e+10 0.000148112 2.57616e+10 0.00014952 2.48604e+10 0.000150299 2.49295e+10 0.000151832 2.36624e+10 0.000152783 2.40855e+10 0.000154045 2.36457e+10 0.000155658 2.26052e+10 0.00015665 2.25539e+10 0.0001579 2.18134e+10 0.000159354 2.17598e+10 0.000160279 2.18626e+10 0.000161626 2.11615e+10 0.000163463 2.11123e+10 0.000164644 2.0669e+10 0.000165783 2.07613e+10 0.000167197 2.01822e+10 0.000168799 2.01576e+10 0.000170423 2.01009e+10 0.000171157 1.95365e+10 0.000172744 1.93704e+10 0.000174349 1.93014e+10 0.00017592 1.87991e+10 0.000177497 1.87038e+10 0.000178723 1.88418e+10 0.000180282 1.85432e+10 0.000181376 1.84544e+10 0.000182743 1.81371e+10 0.000184551 1.80562e+10 0.000185977 1.79231e+10 0.000187589 1.77092e+10 0.000188953 1.71352e+10 0.000190863 1.72326e+10 0.000192158 1.70873e+10 0.000193916 1.6919e+10 0.000195504 1.63477e+10 0.000197181 1.63131e+10 0.000198613 1.58864e+10 0.000200148 1.55583e+10 0.000201721 1.53207e+10 0.000203587 1.51563e+10 0.00020541 1.47703e+10 0.000207172 1.43814e+10 0.000208922 1.43572e+10 0.000210371 1.39816e+10 0.000212078 1.3722e+10 0.000214191 1.34638e+10 0.000215596 1.34492e+10 0.00021743 1.29539e+10 0.000219259 1.27086e+10 0.000221084 1.24326e+10 0.00022283 1.23127e+10 0.000224493 1.23051e+10 0.000226376 1.18058e+10 0.000228421 1.18406e+10 0.000230288 1.18055e+10 0.000231928 1.15401e+10 0.00023399 1.12485e+10 0.000236053 1.11272e+10 0.000237805 1.12078e+10 0.000239779 1.08709e+10 0.000241744 1.09357e+10 0.000243673 1.06738e+10 0.000245757 1.06496e+10 0.000247871 1.052e+10 0.00024984 1.04384e+10 0.000251597 1.02362e+10 0.000253565 1.00637e+10 0.000256 9.90283e+09 0.000258364 9.81922e+09 0.000260499 9.7099e+09 0.000262417 9.4141e+09 0.000264367 9.28561e+09 0.000266592 9.06125e+09 0.000268987 8.93637e+09 0.000271108 8.83048e+09 0.000273349 8.61385e+09 0.000275546 8.38698e+09 0.000277706 8.29054e+09 0.000280204 8.08882e+09 0.000282696 8.12347e+09 0.000284955 7.95431e+09 0.000287036 7.70924e+09 0.000289296 7.61059e+09 0.000291909 7.5728e+09 0.000294404 7.49154e+09 0.000296654 7.42276e+09 0.000299082 7.39441e+09 0.000301403 7.19788e+09 0.000303861 7.05672e+09 0.000306413 6.95909e+09 0.000308749 6.82171e+09 0.000311525 6.76077e+09 0.000313955 6.6783e+09 0.000316471 6.58582e+09 0.000319321 6.55136e+09 0.000322008 6.34295e+09 0.000324666 6.24241e+09 0.00032719 6.1036e+09 0.000329929 6.05859e+09 0.000332507 5.99159e+09 0.000335216 5.90223e+09 0.000337986 5.75522e+09 0.000340927 5.61571e+09 0.000343668 5.50568e+09 0.000346605 5.41657e+09 0.000349164 5.37274e+09 0.000352165 5.20956e+09 0.000355188 5.14251e+09 0.000358008 5.14668e+09 0.000361098 5.01966e+09 0.000363971 4.93024e+09 0.00036707 4.80282e+09 0.000369977 4.80489e+09 0.000373107 4.69484e+09 0.000376085 4.65151e+09 0.000379074 4.55097e+09 0.000382228 4.47044e+09 0.00038541 4.44352e+09 0.000388542 4.36214e+09 0.000391757 4.25345e+09 0.000394981 4.22548e+09 0.000398111 4.07661e+09 0.000401474 4.02355e+09 0.000404717 3.95851e+09 0.000407935 3.91471e+09 0.000411525 3.84271e+09 0.000414686 3.82299e+09 0.000418155 3.75666e+09 0.00042175 3.68644e+09 0.000425291 3.5724e+09 0.000428636 3.52342e+09 0.000432208 3.47315e+09 0.0004357 3.44621e+09 0.000439332 3.38093e+09 0.000442787 3.31239e+09 0.000446449 3.2669e+09 0.000450291 3.19988e+09 0.000453801 3.1876e+09 0.000457447 3.09808e+09 0.000461323 3.05263e+09 0.000465014 2.98825e+09 0.000468866 2.95192e+09 0.000472806 2.87661e+09 0.00047678 2.85572e+09 0.000480624 2.78075e+09 0.000484555 2.7671e+09 0.000488474 2.71522e+09 0.000492396 2.6535e+09 0.000496538 2.63024e+09 0.000500678 2.58345e+09 0.000504761 2.53775e+09 0.000508767 2.48803e+09 0.000512959 2.44614e+09 0.000517253 2.415e+09 0.000521544 2.34659e+09 0.000525774 2.33437e+09 0.000530168 2.28134e+09 0.000534431 2.23789e+09 0.00053878 2.17522e+09 0.000543223 2.15367e+09 0.000547788 2.13203e+09 0.000552163 2.08658e+09 0.000556755 2.05097e+09 0.000561463 1.99836e+09 0.000566064 1.9894e+09 0.000570587 1.94893e+09 0.000575277 1.88258e+09 0.000580056 1.86993e+09 0.000584753 1.86106e+09 0.000589576 1.81191e+09 0.000594327 1.79216e+09 0.000599226 1.74715e+09 0.000604166 1.71645e+09 0.000609275 1.68285e+09 0.000614265 1.66497e+09 0.000619191 1.64582e+09 0.000624415 1.6008e+09 0.000629458 1.57477e+09 0.00063466 1.54505e+09 0.00063975 1.52186e+09 0.00064489 1.49597e+09 0.000650271 1.47731e+09 0.000655619 1.43845e+09 0.000661178 1.41278e+09 0.000666601 1.38962e+09 0.00067198 1.35758e+09 0.000677465 1.35165e+09 0.000682952 1.33352e+09 0.000688602 1.29211e+09 0.000694365 1.28189e+09 0.000699968 1.25658e+09 0.00070566 1.22273e+09 0.000711633 1.20701e+09 0.000717351 1.18464e+09 0.000723301 1.16029e+09 0.000729237 1.14635e+09 0.00073526 1.11618e+09 0.000741287 1.10322e+09 0.000747431 1.08192e+09 0.000753573 1.07343e+09 0.000759705 1.05158e+09 0.000765936 1.02671e+09 0.000772341 1.01504e+09 0.000778615 9.93796e+08 0.000785031 9.78987e+08 0.000791493 9.50213e+08 0.000797999 9.40932e+08 0.000804499 9.18067e+08 0.000811074 9.0795e+08 0.000817707 8.89174e+08 0.000824546 8.71051e+08 0.000831271 8.55653e+08 0.000838002 8.37107e+08 0.000844949 8.2561e+08 0.000851929 8.15607e+08 0.000858954 7.93846e+08 0.000865919 7.845e+08 0.000873072 7.67843e+08 0.000880195 7.56373e+08 0.000887393 7.35061e+08 0.000894783 7.28612e+08 0.000902097 7.11103e+08 0.00090951 7.0027e+08 0.000916929 6.88501e+08 0.000924423 6.72304e+08 0.00093206 6.58845e+08 0.000939669 6.48784e+08 0.000947384 6.38618e+08 0.000955222 6.28566e+08 0.000963012 6.17182e+08 0.00097096 6.0438e+08 0.000978975 5.94283e+08 0.000986946 5.76561e+08 0.000995044 5.71995e+08 0.00100317 5.6005e+08 0.00101134 5.51222e+08 0.00101966 5.43499e+08 0.00102811 5.30033e+08 0.0010366 5.19467e+08 0.00104515 5.09937e+08 0.00105367 5.01907e+08 0.0010623 4.86491e+08 0.00107099 4.83677e+08 0.00107984 4.72988e+08 0.00108877 4.66443e+08 0.00109754 4.56893e+08 0.00110658 4.49192e+08 0.00111585 4.39433e+08 0.001125 4.29811e+08 0.00113422 4.22845e+08 0.00114355 4.14063e+08 0.00115284 4.04809e+08 0.0011623 3.99632e+08 0.00117183 3.91173e+08 0.00118147 3.83982e+08 0.00119124 3.781e+08 0.00120099 3.7423e+08 0.00121082 3.64847e+08 0.00122077 3.58481e+08 0.00123083 3.5092e+08 0.00124092 3.43523e+08 0.00125109 3.35175e+08 0.00126141 3.29825e+08 0.00127177 3.26465e+08 0.00128216 3.19908e+08 0.00129272 3.13004e+08 0.00130337 3.06328e+08 0.00131407 3.01128e+08 0.00132486 2.96053e+08 0.00133574 2.88761e+08 0.00134668 2.84128e+08 0.0013577 2.7865e+08 0.0013688 2.7395e+08 0.00138009 2.69675e+08 0.00139144 2.61384e+08 0.00140285 2.57859e+08 0.00141438 2.53779e+08 0.0014259 2.48945e+08 0.00143763 2.43709e+08 0.00144946 2.40871e+08 0.00146138 2.35646e+08 0.00147343 2.29779e+08 0.00148553 2.2543e+08 0.00149773 2.21118e+08 0.00150998 2.18039e+08 0.00152238 2.13601e+08 0.00153493 2.08776e+08 0.00154754 2.06183e+08 0.0015602 2.01457e+08 0.00157297 1.98411e+08 0.00158593 1.93518e+08 0.00159901 1.89521e+08 0.00161212 1.85423e+08 0.00162533 1.82983e+08 0.00163867 1.78113e+08 0.00165213 1.76037e+08 0.00166568 1.72678e+08 0.00167936 1.68903e+08 0.00169314 1.6552e+08 0.00170706 1.6232e+08 0.00172108 1.59461e+08 0.00173519 1.56453e+08 0.00174947 1.53265e+08 0.00176388 1.50297e+08 0.00177833 1.47502e+08 0.00179289 1.44815e+08 0.00180762 1.41626e+08 0.0018225 1.39034e+08 0.00183749 1.36614e+08 0.00185259 1.33685e+08 0.00186776 1.30464e+08 0.00188308 1.28286e+08 0.00189858 1.26099e+08 0.00191415 1.23634e+08 0.00192986 1.20865e+08 0.00194568 1.1908e+08 0.00196164 1.16499e+08 0.00197781 1.14337e+08 0.00199407 1.12273e+08 0.00201041 1.09913e+08 0.0020269 1.0796e+08 0.00204357 1.05512e+08 0.00206031 1.03613e+08 0.00207723 1.01336e+08 0.00209433 9.96432e+07 0.00211151 9.76403e+07 0.00212883 9.57525e+07 0.00214631 9.37379e+07 0.00216395 9.19496e+07 0.00218171 9.02981e+07 0.00219964 8.8616e+07 0.0022177 8.65124e+07 0.00223591 8.49856e+07 0.00225426 8.33442e+07 0.00227273 8.15637e+07 0.00229144 8.0255e+07 0.00231024 7.87437e+07 0.00232919 7.6933e+07 0.00234835 7.56146e+07 0.00236765 7.40775e+07 0.00238708 7.26048e+07 0.00240668 7.11544e+07 0.00242645 6.98082e+07 0.00244635 6.83032e+07 0.00246642 6.69123e+07 0.00248668 6.57843e+07 0.00250712 6.4485e+07 0.0025277 6.32291e+07 0.00254846 6.20038e+07 0.00256938 6.07269e+07 0.00259045 5.9515e+07 0.00261172 5.84644e+07 0.00263319 5.7273e+07 0.00265482 5.61196e+07 0.0026766 5.48701e+07 0.00269857 5.40236e+07 0.00272074 5.27723e+07 0.00274311 5.19285e+07 0.00276562 5.08642e+07 0.00278831 4.98686e+07 0.00281122 4.88392e+07 0.00283428 4.79431e+07 0.00285753 4.68701e+07 0.00288102 4.6031e+07 0.00290469 4.51668e+07 0.00292852 4.42522e+07 0.00295255 4.3348e+07 0.00297682 4.24352e+07 0.00300132 4.15754e+07 0.00302595 4.0887e+07 0.00305077 3.99894e+07 0.00307582 3.91193e+07 0.00310109 3.84268e+07 0.00312652 3.76094e+07 0.00315219 3.6826e+07 0.00317808 3.61854e+07 0.00320418 3.52887e+07 0.00323049 3.46115e+07 0.003257 3.39237e+07 0.00328375 3.32801e+07 0.00331073 3.25713e+07 0.00333793 3.18602e+07 0.00336532 3.1207e+07 0.00339295 3.06271e+07 0.00342081 2.9965e+07 0.0034489 2.93618e+07 0.00347724 2.8702e+07 0.00350579 2.81452e+07 0.00353457 2.75867e+07 0.00356356 2.70147e+07 0.0035928 2.63977e+07 0.0036223 2.587e+07 0.00365206 2.5389e+07 0.00368208 2.48268e+07 0.00371232 2.43323e+07 0.0037428 2.38604e+07 0.00377353 2.33273e+07 0.00380451 2.2846e+07 0.00383574 2.24334e+07 0.00386724 2.19401e+07 0.00389899 2.14919e+07 0.003931 2.10451e+07 0.0039633 2.06276e+07 0.00399584 2.02087e+07 0.00402865 1.97949e+07 0.00406173 1.9425e+07 0.00409507 1.90406e+07 0.00412871 1.86671e+07 0.00416262 1.8294e+07 0.0041968 1.79224e+07 0.00423127 1.75443e+07 0.004266 1.72174e+07 0.00430101 1.68654e+07 0.00433633 1.65572e+07 0.00437195 1.62222e+07 0.00440786 1.59184e+07 0.00444405 1.55863e+07 0.00448053 1.53109e+07 0.00451731 1.50071e+07 0.0045544 1.47411e+07 0.00459181 1.4473e+07 0.00462953 1.42073e+07 0.00466752 1.39717e+07 0.00470583 1.37055e+07 0.00474448 1.34754e+07 0.00478347 1.32143e+07 0.00482275 1.29995e+07 0.00486234 1.27829e+07 0.00490225 1.25684e+07 0.0049425 1.23779e+07 0.0049831 1.21786e+07 0.00502401 1.20138e+07 0.00506526 1.18132e+07 0.00510687 1.16313e+07 0.00514879 1.1472e+07 0.00519107 1.13229e+07 0.0052337 1.11802e+07 0.00527667 1.10405e+07 0.00532001 1.09125e+07 0.00536367 1.08004e+07 0.00540771 1.06929e+07 0.00545214 1.05779e+07 0.0054969 1.04961e+07 0.00554203 1.04125e+07 0.00558753 1.03359e+07 0.00563342 1.02759e+07 0.00567967 1.02299e+07 0.00572631 1.01879e+07 0.00577334 1.01578e+07 0.00582073 1.01389e+07 0.00586853 1.0136e+07 0.00591672 1.01318e+07 0.0059653 1.01689e+07 0.00601426 1.02014e+07 0.00606365 1.02481e+07 0.00611346 1.0316e+07 0.00616366 1.04046e+07 0.00621427 1.05061e+07 0.00626529 1.06298e+07 0.00631673 1.07614e+07 0.00636859 1.09228e+07 0.00642088 1.11177e+07 0.00647362 1.13141e+07 0.00652677 1.15292e+07 0.00658036 1.18186e+07 0.0066344 1.20854e+07 0.00668886 1.24053e+07 0.00674379 1.27509e+07 0.00679918 1.31608e+07 0.00685501 1.35735e+07 0.00691131 1.4043e+07 0.00696806 1.45266e+07 0.00702526 1.50973e+07 0.00708294 1.5696e+07 0.00714111 1.63812e+07 0.00719973 1.70678e+07 0.00725885 1.78833e+07 0.00731846 1.87177e+07 0.00737856 1.96247e+07 0.00743915 2.06462e+07 0.00750022 2.17335e+07 0.0075618 2.28754e+07 0.0076239 2.42108e+07 0.00768649 2.5596e+07 0.00774961 2.70918e+07 0.00781325 2.87778e+07 0.00787742 3.05493e+07 0.0079421 3.24334e+07 0.0080073 3.4507e+07 0.00807306 3.68363e+07 0.00813935 3.9216e+07 0.00820618 4.19067e+07 0.00827356 4.46601e+07 0.0083415 4.79237e+07 0.00840998 5.10503e+07 0.00847904 5.47946e+07 0.00854867 5.87274e+07 0.00861886 6.2519e+07 0.00868963 6.69203e+07 0.00876099 7.20095e+07 0.00883292 7.71148e+07 0.00890544 8.22532e+07 0.00897858 8.77854e+07 0.00905231 9.37996e+07 0.00912663 1.00041e+08 0.00920156 1.06409e+08 0.00927713 1.13026e+08 0.0093533 1.20664e+08 0.0094301 1.2744e+08 0.00950753 1.34686e+08 0.0095856 1.41914e+08 0.00966431 1.47544e+08 0.00974367 1.54193e+08 0.00982367 1.60172e+08 0.00990433 1.66286e+08 0.00998566 1.69884e+08 0.0100677 1.76489e+08 0.0101503 1.80919e+08 0.0102337 1.83374e+08 0.0103177 1.86536e+08 0.0104024 1.89881e+08 0.0104878 1.925e+08 0.010574 1.95095e+08 0.0106608 1.97521e+08 0.0107483 1.99506e+08 0.0108366 2.01876e+08 0.0109256 2.0432e+08 0.0110152 2.02269e+08 0.0111055 7.88747e+07 0.0111967 3.26179e+07 0.0112886 2.12971e+07 0.0113813 1.71711e+07 0.0114748 1.55894e+07 0.011569 1.51525e+07 0.011664 1.53682e+07 0.0117598 1.60227e+07 0.0118563 1.70376e+07 0.0119537 1.83903e+07 0.0120518 2.00434e+07 0.0121508 2.20524e+07 0.0122505 2.44394e+07 0.0123511 2.72273e+07 0.0124525 3.05296e+07 0.0125548 3.43829e+07 0.0126579 3.88835e+07 0.0127618 4.41221e+07 0.0128666 5.01973e+07 0.0129722 5.72883e+07 0.0130787 6.56718e+07 0.0131861 7.52433e+07 0.0132944 8.65365e+07 0.0134035 9.94967e+07 0.0135136 1.14714e+08 0.0136245 1.32025e+08 0.0137363 1.52214e+08 0.0138491 1.75345e+08 0.0139628 2.01883e+08 0.0140774 2.3148e+08 0.014193 2.65389e+08 0.0143095 3.01676e+08 0.014427 3.41934e+08 0.0145454 3.82642e+08 0.0146648 4.24039e+08 0.0147852 4.62781e+08 0.0149065 4.92867e+08 0.0150288 5.10636e+08 0.0151522 5.06774e+08 0.0152765 4.71505e+08 0.0154018 3.95881e+08 0.0155281 2.60682e+08 0.0156556 1.07938e+08 0.0157843 8.57514e+07 0.0159139 9.65097e+07 0.0160445 1.16119e+08 0.0161763 1.43386e+08 0.0163091 1.79445e+08 0.0164429 2.26658e+08 0.0165779 2.87589e+08 0.0167139 3.6692e+08 0.0168511 4.69948e+08 0.0169894 6.04455e+08 0.0171288 7.78481e+08 0.0172693 1.00442e+09 0.0174109 1.29805e+09 0.0175537 1.67438e+09 0.0176976 2.15064e+09 0.0178426 2.76496e+09 0.0179887 3.5203e+09 0.018136 4.44612e+09 0.0182842 5.5503e+09 0.0184332 6.82488e+09 0.0185832 8.28523e+09 0.0187336 9.75046e+09 0.0188802 1.12962e+10 0.0190113 1.27264e+10 0.0191299 3.98289e+10