# k P_nu(k) # a = 0.0458359 # nbins = 695 1.22718e-05 8.67839e+10 1.7355e-05 9.09606e+10 2.12555e-05 8.81011e+10 2.45437e-05 8.31407e+10 2.74407e-05 7.80026e+10 3.00598e-05 7.32045e+10 3.471e-05 6.52371e+10 3.68155e-05 6.14288e+10 3.8807e-05 5.80707e+10 4.07011e-05 5.5933e+10 4.25109e-05 5.35765e+10 4.42468e-05 5.19491e+10 4.5917e-05 4.99041e+10 4.90874e-05 4.78964e+10 5.05981e-05 4.66052e+10 5.2065e-05 4.59333e+10 5.34917e-05 4.45888e+10 5.48814e-05 4.39885e+10 5.62367e-05 4.33852e+10 5.75601e-05 4.30491e+10 6.01195e-05 4.12786e+10 6.13592e-05 4.09386e+10 6.25744e-05 4.02289e+10 6.37664e-05 3.96593e+10 6.60859e-05 3.86652e+10 6.72157e-05 3.80685e+10 6.942e-05 3.74551e+10 7.04964e-05 3.64871e+10 7.15565e-05 3.54725e+10 7.26012e-05 3.54124e+10 7.36311e-05 3.4559e+10 7.46467e-05 3.35928e+10 7.56487e-05 3.36188e+10 7.7614e-05 3.19102e+10 7.85782e-05 3.1661e+10 7.95307e-05 3.07823e+10 8.04719e-05 2.99807e+10 8.14022e-05 2.97573e+10 8.2322e-05 2.90292e+10 8.32317e-05 2.86509e+10 8.50218e-05 2.77891e+10 8.59029e-05 2.71354e+10 8.67751e-05 2.65872e+10 8.76385e-05 2.59817e+10 8.84935e-05 2.62649e+10 8.93404e-05 2.54851e+10 9.01793e-05 2.48195e+10 9.18341e-05 2.42016e+10 9.26504e-05 2.34579e+10 9.34596e-05 2.32389e+10 9.42618e-05 2.27159e+10 9.58462e-05 2.22041e+10 9.66286e-05 2.19132e+10 9.81748e-05 2.14843e+10 9.89388e-05 2.11936e+10 9.9697e-05 2.08494e+10 0.000100947 2.03333e+10 0.000101938 2.02986e+10 0.000102674 2.00871e+10 0.00010413 1.97511e+10 0.000104851 1.95405e+10 0.000105793 1.92591e+10 0.000106983 1.90199e+10 0.000107685 1.89802e+10 0.000108382 1.89847e+10 0.000109763 1.81113e+10 0.000110447 1.85247e+10 0.000111126 1.80681e+10 0.00011207 1.81013e+10 0.000113141 1.77606e+10 0.000113804 1.7989e+10 0.00011512 1.75947e+10 0.000115772 1.76262e+10 0.000116605 1.74054e+10 0.000118768 1.72246e+10 0.000120655 1.71703e+10 0.000121732 1.67977e+10 0.000122718 1.65528e+10 0.000123466 1.65531e+10 0.000125149 1.62393e+10 0.000125749 1.63504e+10 0.000126644 1.61902e+10 0.000127941 1.58795e+10 0.000128708 1.59869e+10 0.000130739 1.53128e+10 0.000131943 1.52422e+10 0.000132953 1.51158e+10 0.000134431 1.48786e+10 0.000135328 1.4817e+10 0.000136101 1.43106e+10 0.000137477 1.41949e+10 0.00013884 1.35525e+10 0.000139516 1.3878e+10 0.000140611 1.35659e+10 0.000141939 1.32515e+10 0.000143463 1.28396e+10 0.000144385 1.30287e+10 0.000145548 1.25709e+10 0.000146631 1.22292e+10 0.000148112 1.22082e+10 0.00014952 1.18366e+10 0.000150299 1.18177e+10 0.000151832 1.1324e+10 0.000152783 1.14088e+10 0.000154045 1.12002e+10 0.000155658 1.07874e+10 0.00015665 1.07264e+10 0.0001579 1.04336e+10 0.000159354 1.03569e+10 0.000160279 1.03526e+10 0.000161626 1.00787e+10 0.000163463 9.99821e+09 0.000164644 9.81956e+09 0.000165783 9.81956e+09 0.000167197 9.58904e+09 0.000168799 9.54542e+09 0.000170423 9.48536e+09 0.000171157 9.28834e+09 0.000172744 9.20121e+09 0.000174349 9.15033e+09 0.00017592 8.95341e+09 0.000177497 8.89567e+09 0.000178723 8.91899e+09 0.000180282 8.79546e+09 0.000181376 8.74638e+09 0.000182743 8.62106e+09 0.000184551 8.56147e+09 0.000185977 8.49208e+09 0.000187589 8.39314e+09 0.000188953 8.18132e+09 0.000190863 8.17062e+09 0.000192158 8.09769e+09 0.000193916 8.00506e+09 0.000195504 7.78362e+09 0.000197181 7.7302e+09 0.000198613 7.56063e+09 0.000200148 7.41929e+09 0.000201721 7.30325e+09 0.000203587 7.20159e+09 0.00020541 7.03059e+09 0.000207172 6.86331e+09 0.000208922 6.81132e+09 0.000210371 6.65774e+09 0.000212078 6.53278e+09 0.000214191 6.40335e+09 0.000215596 6.36726e+09 0.00021743 6.17348e+09 0.000219259 6.05799e+09 0.000221084 5.93283e+09 0.00022283 5.86468e+09 0.000224493 5.83574e+09 0.000226376 5.6444e+09 0.000228421 5.62959e+09 0.000230288 5.59283e+09 0.000231928 5.48908e+09 0.00023399 5.36701e+09 0.000236053 5.30932e+09 0.000237805 5.31569e+09 0.000239779 5.18676e+09 0.000241744 5.18768e+09 0.000243673 5.08462e+09 0.000245757 5.05715e+09 0.000247871 4.99502e+09 0.00024984 4.95163e+09 0.000251597 4.86626e+09 0.000253565 4.79031e+09 0.000256 4.71234e+09 0.000258364 4.66171e+09 0.000260499 4.60011e+09 0.000262417 4.48364e+09 0.000264367 4.42297e+09 0.000266592 4.32398e+09 0.000268987 4.25976e+09 0.000271108 4.19674e+09 0.000273349 4.1035e+09 0.000275546 4.00487e+09 0.000277706 3.95302e+09 0.000280204 3.86187e+09 0.000282696 3.84931e+09 0.000284955 3.77268e+09 0.000287036 3.67822e+09 0.000289296 3.62811e+09 0.000291909 3.59599e+09 0.000294404 3.54977e+09 0.000296654 3.5153e+09 0.000299082 3.48862e+09 0.000301403 3.41093e+09 0.000303861 3.35123e+09 0.000306413 3.30508e+09 0.000308749 3.24767e+09 0.000311525 3.21066e+09 0.000313955 3.17277e+09 0.000316471 3.12524e+09 0.000319321 3.09704e+09 0.000322008 3.01388e+09 0.000324666 2.96711e+09 0.00032719 2.90767e+09 0.000329929 2.87831e+09 0.000332507 2.84038e+09 0.000335216 2.7952e+09 0.000337986 2.73232e+09 0.000340927 2.67015e+09 0.000343668 2.61909e+09 0.000346605 2.57565e+09 0.000349164 2.54808e+09 0.000352165 2.48092e+09 0.000355188 2.44634e+09 0.000358008 2.43553e+09 0.000361098 2.38211e+09 0.000363971 2.34204e+09 0.00036707 2.29038e+09 0.000369977 2.27928e+09 0.000373107 2.23208e+09 0.000376085 2.20699e+09 0.000379074 2.16381e+09 0.000382228 2.12637e+09 0.00038541 2.10709e+09 0.000388542 2.07022e+09 0.000391757 2.02279e+09 0.000394981 2.00337e+09 0.000398111 1.94393e+09 0.000401474 1.91566e+09 0.000404717 1.88475e+09 0.000407935 1.85927e+09 0.000411525 1.82401e+09 0.000414686 1.80949e+09 0.000418155 1.77767e+09 0.00042175 1.74619e+09 0.000425291 1.69932e+09 0.000428636 1.67447e+09 0.000432208 1.65007e+09 0.0004357 1.63368e+09 0.000439332 1.60337e+09 0.000442787 1.57324e+09 0.000446449 1.55009e+09 0.000450291 1.51979e+09 0.000453801 1.50779e+09 0.000457447 1.46994e+09 0.000461323 1.44792e+09 0.000465014 1.41956e+09 0.000468866 1.39903e+09 0.000472806 1.36802e+09 0.00047678 1.35225e+09 0.000480624 1.32035e+09 0.000484555 1.30937e+09 0.000488474 1.28588e+09 0.000492396 1.25868e+09 0.000496538 1.2443e+09 0.000500678 1.22238e+09 0.000504761 1.20132e+09 0.000508767 1.17889e+09 0.000512959 1.15795e+09 0.000517253 1.14196e+09 0.000521544 1.11352e+09 0.000525774 1.10315e+09 0.000530168 1.08051e+09 0.000534431 1.05947e+09 0.00053878 1.03354e+09 0.000543223 1.02119e+09 0.000547788 1.00827e+09 0.000552163 9.88212e+08 0.000556755 9.71297e+08 0.000561463 9.48874e+08 0.000566064 9.39877e+08 0.000570587 9.22313e+08 0.000575277 8.95642e+08 0.000580056 8.86458e+08 0.000584753 8.78988e+08 0.000589576 8.57837e+08 0.000594327 8.4636e+08 0.000599226 8.27439e+08 0.000604166 8.12551e+08 0.000609275 7.97732e+08 0.000614265 7.86571e+08 0.000619191 7.76372e+08 0.000624415 7.57014e+08 0.000629458 7.45121e+08 0.00063466 7.31004e+08 0.00063975 7.19594e+08 0.00064489 7.06844e+08 0.000650271 6.96944e+08 0.000655619 6.8058e+08 0.000661178 6.68298e+08 0.000666601 6.56741e+08 0.00067198 6.43007e+08 0.000677465 6.375e+08 0.000682952 6.27532e+08 0.000688602 6.10447e+08 0.000694365 6.04241e+08 0.000699968 5.93066e+08 0.00070566 5.78047e+08 0.000711633 5.69388e+08 0.000717351 5.59387e+08 0.000723301 5.48313e+08 0.000729237 5.40573e+08 0.00073526 5.27945e+08 0.000741287 5.20373e+08 0.000747431 5.10729e+08 0.000753573 5.04656e+08 0.000759705 4.94954e+08 0.000765936 4.83852e+08 0.000772341 4.77386e+08 0.000778615 4.68025e+08 0.000785031 4.604e+08 0.000791493 4.48144e+08 0.000797999 4.42785e+08 0.000804499 4.33028e+08 0.000811074 4.27223e+08 0.000817707 4.18338e+08 0.000824546 4.10312e+08 0.000831271 4.02677e+08 0.000838002 3.947e+08 0.000844949 3.88567e+08 0.000851929 3.83541e+08 0.000858954 3.73695e+08 0.000865919 3.68657e+08 0.000873072 3.61054e+08 0.000880195 3.55196e+08 0.000887393 3.4647e+08 0.000894783 3.42081e+08 0.000902097 3.34438e+08 0.00090951 3.29319e+08 0.000916929 3.23387e+08 0.000924423 3.16087e+08 0.00093206 3.1026e+08 0.000939669 3.04692e+08 0.000947384 2.99673e+08 0.000955222 2.94993e+08 0.000963012 2.89563e+08 0.00097096 2.8367e+08 0.000978975 2.78792e+08 0.000986946 2.71304e+08 0.000995044 2.68095e+08 0.00100317 2.62906e+08 0.00101134 2.58587e+08 0.00101966 2.54696e+08 0.00102811 2.48378e+08 0.0010366 2.4366e+08 0.00104515 2.39045e+08 0.00105367 2.3506e+08 0.0010623 2.28596e+08 0.00107099 2.26533e+08 0.00107984 2.21601e+08 0.00108877 2.18247e+08 0.00109754 2.13945e+08 0.00110658 2.1027e+08 0.00111585 2.05721e+08 0.001125 2.0143e+08 0.00113422 1.98139e+08 0.00114355 1.93815e+08 0.00115284 1.89594e+08 0.0011623 1.86967e+08 0.00117183 1.83193e+08 0.00118147 1.79586e+08 0.00119124 1.76861e+08 0.00120099 1.7464e+08 0.00121082 1.70611e+08 0.00122077 1.67111e+08 0.00123083 1.63814e+08 0.00124092 1.60594e+08 0.00125109 1.56919e+08 0.00126141 1.53954e+08 0.00127177 1.52191e+08 0.00128216 1.49073e+08 0.00129272 1.46039e+08 0.00130337 1.42984e+08 0.00131407 1.4045e+08 0.00132486 1.37805e+08 0.00133574 1.34809e+08 0.00134668 1.32738e+08 0.0013577 1.29935e+08 0.0013688 1.2749e+08 0.00138009 1.25511e+08 0.00139144 1.21936e+08 0.00140285 1.20094e+08 0.00141438 1.18099e+08 0.0014259 1.15828e+08 0.00143763 1.13476e+08 0.00144946 1.11991e+08 0.00146138 1.09599e+08 0.00147343 1.06947e+08 0.00148553 1.04917e+08 0.00149773 1.02843e+08 0.00150998 1.01227e+08 0.00152238 9.90991e+07 0.00153493 9.71256e+07 0.00154754 9.56444e+07 0.0015602 9.36076e+07 0.00157297 9.19495e+07 0.00158593 8.97298e+07 0.00159901 8.80012e+07 0.00161212 8.62098e+07 0.00162533 8.48081e+07 0.00163867 8.27064e+07 0.00165213 8.16516e+07 0.00166568 7.99692e+07 0.00167936 7.83249e+07 0.00169314 7.6791e+07 0.00170706 7.5209e+07 0.00172108 7.38761e+07 0.00173519 7.24654e+07 0.00174947 7.0924e+07 0.00176388 6.96245e+07 0.00177833 6.83204e+07 0.00179289 6.69276e+07 0.00180762 6.55798e+07 0.0018225 6.42944e+07 0.00183749 6.31278e+07 0.00185259 6.17872e+07 0.00186776 6.03833e+07 0.00188308 5.9305e+07 0.00189858 5.82304e+07 0.00191415 5.71461e+07 0.00192986 5.58974e+07 0.00194568 5.49297e+07 0.00196164 5.37804e+07 0.00197781 5.28077e+07 0.00199407 5.17168e+07 0.00201041 5.07279e+07 0.0020269 4.98051e+07 0.00204357 4.86568e+07 0.00206031 4.77971e+07 0.00207723 4.67505e+07 0.00209433 4.59574e+07 0.00211151 4.49827e+07 0.00212883 4.40685e+07 0.00214631 4.31931e+07 0.00216395 4.23429e+07 0.00218171 4.15506e+07 0.00219964 4.07896e+07 0.0022177 3.99222e+07 0.00223591 3.90891e+07 0.00225426 3.83368e+07 0.00227273 3.75317e+07 0.00229144 3.6882e+07 0.00231024 3.62314e+07 0.00232919 3.53994e+07 0.00234835 3.47689e+07 0.00236765 3.40708e+07 0.00238708 3.33414e+07 0.00240668 3.27065e+07 0.00242645 3.20925e+07 0.00244635 3.13844e+07 0.00246642 3.07414e+07 0.00248668 3.02162e+07 0.00250712 2.96089e+07 0.0025277 2.90898e+07 0.00254846 2.84765e+07 0.00256938 2.78797e+07 0.00259045 2.73129e+07 0.00261172 2.68592e+07 0.00263319 2.62753e+07 0.00265482 2.57701e+07 0.0026766 2.52578e+07 0.00269857 2.48084e+07 0.00272074 2.42622e+07 0.00274311 2.38604e+07 0.00276562 2.33813e+07 0.00278831 2.29104e+07 0.00281122 2.24605e+07 0.00283428 2.203e+07 0.00285753 2.15362e+07 0.00288102 2.11951e+07 0.00290469 2.08094e+07 0.00292852 2.03713e+07 0.00295255 1.99723e+07 0.00297682 1.95418e+07 0.00300132 1.91576e+07 0.00302595 1.88461e+07 0.00305077 1.84458e+07 0.00307582 1.80299e+07 0.00310109 1.77118e+07 0.00312652 1.73467e+07 0.00315219 1.69823e+07 0.00317808 1.66785e+07 0.00320418 1.62679e+07 0.00323049 1.59597e+07 0.003257 1.56621e+07 0.00328375 1.53423e+07 0.00331073 1.50086e+07 0.00333793 1.46918e+07 0.00336532 1.44049e+07 0.00339295 1.41343e+07 0.00342081 1.38408e+07 0.0034489 1.35474e+07 0.00347724 1.32586e+07 0.00350579 1.29973e+07 0.00353457 1.27458e+07 0.00356356 1.24892e+07 0.0035928 1.22072e+07 0.0036223 1.19744e+07 0.00365206 1.17508e+07 0.00368208 1.15059e+07 0.00371232 1.12699e+07 0.0037428 1.10635e+07 0.00377353 1.08436e+07 0.00380451 1.06176e+07 0.00383574 1.04122e+07 0.00386724 1.02005e+07 0.00389899 1.00072e+07 0.003931 9.81658e+06 0.0039633 9.61606e+06 0.00399584 9.4286e+06 0.00402865 9.25069e+06 0.00406173 9.07356e+06 0.00409507 8.91204e+06 0.00412871 8.73724e+06 0.00416262 8.57178e+06 0.0041968 8.41272e+06 0.00423127 8.23361e+06 0.004266 8.09424e+06 0.00430101 7.93988e+06 0.00433633 7.80348e+06 0.00437195 7.65321e+06 0.00440786 7.51946e+06 0.00444405 7.37595e+06 0.00448053 7.24645e+06 0.00451731 7.1231e+06 0.0045544 6.99343e+06 0.00459181 6.87151e+06 0.00462953 6.75772e+06 0.00466752 6.65214e+06 0.00470583 6.53418e+06 0.00474448 6.43422e+06 0.00478347 6.32255e+06 0.00482275 6.22346e+06 0.00486234 6.13005e+06 0.00490225 6.03384e+06 0.0049425 5.94631e+06 0.0049831 5.86636e+06 0.00502401 5.78304e+06 0.00506526 5.70401e+06 0.00510687 5.62305e+06 0.00514879 5.55616e+06 0.00519107 5.4929e+06 0.0052337 5.42891e+06 0.00527667 5.36536e+06 0.00532001 5.31418e+06 0.00536367 5.26448e+06 0.00540771 5.22222e+06 0.00545214 5.1762e+06 0.0054969 5.13895e+06 0.00554203 5.10448e+06 0.00558753 5.08189e+06 0.00563342 5.06468e+06 0.00567967 5.04313e+06 0.00572631 5.03411e+06 0.00577334 5.03181e+06 0.00582073 5.03686e+06 0.00586853 5.04448e+06 0.00591672 5.0586e+06 0.0059653 5.08473e+06 0.00601426 5.11545e+06 0.00606365 5.15928e+06 0.00611346 5.21428e+06 0.00616366 5.27227e+06 0.00621427 5.34818e+06 0.00626529 5.42156e+06 0.00631673 5.518e+06 0.00636859 5.62239e+06 0.00642088 5.75607e+06 0.00647362 5.88702e+06 0.00652677 6.03922e+06 0.00658036 6.22208e+06 0.0066344 6.41625e+06 0.00668886 6.63777e+06 0.00674379 6.87704e+06 0.00679918 7.14855e+06 0.00685501 7.44497e+06 0.00691131 7.78961e+06 0.00696806 8.13338e+06 0.00702526 8.5562e+06 0.00708294 9.00007e+06 0.00714111 9.50816e+06 0.00719973 1.00433e+07 0.00725885 1.06726e+07 0.00731846 1.13672e+07 0.00737856 1.21076e+07 0.00743915 1.29437e+07 0.00750022 1.38815e+07 0.0075618 1.49152e+07 0.0076239 1.60745e+07 0.00768649 1.73651e+07 0.00774961 1.88292e+07 0.00781325 2.04971e+07 0.00787742 2.22696e+07 0.0079421 2.42591e+07 0.0080073 2.65809e+07 0.00807306 2.9247e+07 0.00813935 3.18742e+07 0.00820618 3.54746e+07 0.00827356 3.87821e+07 0.0083415 4.33405e+07 0.00840998 4.75846e+07 0.00847904 5.31832e+07 0.00854867 5.93367e+07 0.00861886 6.56718e+07 0.00868963 7.31345e+07 0.00876099 8.23248e+07 0.00883292 9.18514e+07 0.00890544 1.02428e+08 0.00897858 1.14258e+08 0.00905231 1.26915e+08 0.00912663 1.40825e+08 0.00920156 1.55337e+08 0.00927713 1.70642e+08 0.0093533 1.89254e+08 0.0094301 2.01043e+08 0.00950753 2.11131e+08 0.0095856 2.26395e+08 0.00966431 2.24976e+08 0.00974367 2.29609e+08 0.00982367 2.23185e+08 0.00990433 2.20547e+08 0.00998566 2.05994e+08 0.0100677 2.01596e+08 0.0101503 1.89034e+08 0.0102337 1.76546e+08 0.0103177 1.64982e+08 0.0104024 1.55361e+08 0.0104878 1.46607e+08 0.010574 1.39103e+08 0.0106608 1.3266e+08 0.0107483 1.27502e+08 0.0108366 1.24162e+08 0.0109256 1.22268e+08 0.0110152 1.19336e+08 0.0111055 3.93196e+07 0.0111967 1.45584e+07 0.0112886 9.68954e+06 0.0113813 8.3435e+06 0.0114748 8.13936e+06 0.011569 8.45144e+06 0.011664 9.08563e+06 0.0117598 9.97016e+06 0.0118563 1.11066e+07 0.0119537 1.25166e+07 0.0120518 1.42003e+07 0.0121508 1.6204e+07 0.0122505 1.87017e+07 0.0123511 2.15724e+07 0.0124525 2.50507e+07 0.0125548 2.92511e+07 0.0126579 3.41699e+07 0.0127618 3.99916e+07 0.0128666 4.68567e+07 0.0129722 5.49511e+07 0.0130787 6.45148e+07 0.0131861 7.53297e+07 0.0132944 8.81736e+07 0.0134035 1.0222e+08 0.0135136 1.1878e+08 0.0136245 1.36694e+08 0.0137363 1.56437e+08 0.0138491 1.78288e+08 0.0139628 2.01641e+08 0.0140774 2.26541e+08 0.014193 2.55002e+08 0.0143095 2.82832e+08 0.014427 3.13036e+08 0.0145454 3.42508e+08 0.0146648 3.71219e+08 0.0147852 3.97905e+08 0.0149065 4.1478e+08 0.0150288 4.20573e+08 0.0151522 4.08532e+08 0.0152765 3.68853e+08 0.0154018 2.99904e+08 0.0155281 1.84573e+08 0.0156556 6.11521e+07 0.0157843 4.82859e+07 0.0159139 5.76253e+07 0.0160445 7.25092e+07 0.0161763 9.31061e+07 0.0163091 1.20507e+08 0.0164429 1.56979e+08 0.0165779 2.05842e+08 0.0167139 2.70586e+08 0.0168511 3.57321e+08 0.0169894 4.72702e+08 0.0171288 6.27929e+08 0.0172693 8.35377e+08 0.0174109 1.11272e+09 0.0175537 1.48298e+09 0.0176976 1.97573e+09 0.0178426 2.61825e+09 0.0179887 3.47186e+09 0.018136 4.52394e+09 0.0182842 5.84024e+09 0.0184332 7.38273e+09 0.0185832 9.1695e+09 0.0187336 1.10526e+10 0.0188802 1.29303e+10 0.0190113 1.46459e+10 0.0191299 1.77276e+09