# k P_nu(k)
# a = 0.525581
# nbins = 695
1.22718e-05 1.02449e+13
1.7355e-05 1.086e+13
2.12555e-05 1.0583e+13
2.45437e-05 9.74523e+12
2.74407e-05 9.07379e+12
3.00598e-05 8.5563e+12
3.471e-05 8.04194e+12
3.68155e-05 7.1024e+12
3.8807e-05 6.2793e+12
4.07011e-05 6.49072e+12
4.25109e-05 5.99352e+12
4.42468e-05 6.1018e+12
4.5917e-05 5.44051e+12
4.90874e-05 5.92091e+12
5.05981e-05 5.44845e+12
5.2065e-05 5.74223e+12
5.34917e-05 4.98169e+12
5.48814e-05 5.12143e+12
5.62367e-05 5.14198e+12
5.75601e-05 5.4802e+12
6.01195e-05 4.57316e+12
6.13592e-05 4.88976e+12
6.25744e-05 4.57181e+12
6.37664e-05 4.52983e+12
6.60859e-05 4.55381e+12
6.72157e-05 4.42923e+12
6.942e-05 5.0464e+12
7.04964e-05 4.42193e+12
7.15565e-05 3.7458e+12
7.26012e-05 4.43512e+12
7.36311e-05 4.09057e+12
7.46467e-05 3.36707e+12
7.56487e-05 4.07337e+12
7.7614e-05 3.36826e+12
7.85782e-05 3.70052e+12
7.95307e-05 3.30846e+12
8.04719e-05 2.94545e+12
8.14022e-05 3.3926e+12
8.2322e-05 2.9462e+12
8.32317e-05 3.15765e+12
8.50218e-05 2.97923e+12
8.59029e-05 3.10326e+12
8.67751e-05 2.96018e+12
8.76385e-05 2.75384e+12
8.84935e-05 3.67686e+12
8.93404e-05 3.17488e+12
9.01793e-05 2.85899e+12
9.18341e-05 3.03879e+12
9.26504e-05 2.47349e+12
9.34596e-05 2.75537e+12
9.42618e-05 2.43515e+12
9.58462e-05 2.47759e+12
9.66286e-05 2.41217e+12
9.81748e-05 2.46653e+12
9.89388e-05 2.56633e+12
9.9697e-05 2.35345e+12
0.000100947 2.0417e+12
0.000101938 2.53348e+12
0.000102674 2.43111e+12
0.00010413 2.53969e+12
0.000104851 2.43459e+12
0.000105793 2.21473e+12
0.000106983 2.10687e+12
0.000107685 2.40128e+12
0.000108382 2.51328e+12
0.000109763 1.91531e+12
0.000110447 2.2786e+12
0.000111126 1.91323e+12
0.00011207 2.15756e+12
0.000113141 1.87094e+12
0.000113804 2.21625e+12
0.00011512 1.91533e+12
0.000115772 2.10977e+12
0.000116605 2.0308e+12
0.000118768 2.02075e+12
0.000120655 2.21262e+12
0.000121732 1.92437e+12
0.000122718 1.9561e+12
0.000123466 1.94575e+12
0.000125149 1.69452e+12
0.000125749 2.02865e+12
0.000126644 1.96462e+12
0.000127941 1.85507e+12
0.000128708 2.17262e+12
0.000130739 1.6571e+12
0.000131943 1.79384e+12
0.000132953 1.96148e+12
0.000134431 1.84229e+12
0.000135328 1.86642e+12
0.000136101 1.49413e+12
0.000137477 1.62113e+12
0.00013884 1.19872e+12
0.000139516 1.72853e+12
0.000140611 1.64307e+12
0.000141939 1.56406e+12
0.000143463 1.35557e+12
0.000144385 1.6791e+12
0.000145548 1.49143e+12
0.000146631 1.3214e+12
0.000148112 1.51217e+12
0.00014952 1.39636e+12
0.000150299 1.39354e+12
0.000151832 1.23163e+12
0.000152783 1.44929e+12
0.000154045 1.4588e+12
0.000155658 1.23817e+12
0.00015665 1.31352e+12
0.0001579 1.16472e+12
0.000159354 1.28005e+12
0.000160279 1.39117e+12
0.000161626 1.23686e+12
0.000163463 1.32667e+12
0.000164644 1.27537e+12
0.000165783 1.21817e+12
0.000167197 1.236e+12
0.000168799 1.20207e+12
0.000170423 1.32379e+12
0.000171157 1.1421e+12
0.000172744 1.10861e+12
0.000174349 1.10849e+12
0.00017592 1.0864e+12
0.000177497 1.0564e+12
0.000178723 1.13089e+12
0.000180282 1.11142e+12
0.000181376 1.13122e+12
0.000182743 1.02419e+12
0.000184551 1.08325e+12
0.000185977 1.07639e+12
0.000187589 1.03891e+12
0.000188953 9.78446e+11
0.000190863 1.05292e+12
0.000192158 1.04021e+12
0.000193916 1.04956e+12
0.000195504 9.71185e+11
0.000197181 1.04675e+12
0.000198613 9.16955e+11
0.000200148 9.09568e+11
0.000201721 8.88032e+11
0.000203587 9.5278e+11
0.00020541 8.86331e+11
0.000207172 8.72812e+11
0.000208922 9.75874e+11
0.000210371 9.05489e+11
0.000212078 8.59466e+11
0.000214191 8.07737e+11
0.000215596 8.81422e+11
0.00021743 7.57283e+11
0.000219259 7.81386e+11
0.000221084 7.62282e+11
0.00022283 7.18531e+11
0.000224493 7.57259e+11
0.000226376 7.20805e+11
0.000228421 7.23616e+11
0.000230288 7.60666e+11
0.000231928 6.80222e+11
0.00023399 6.92e+11
0.000236053 6.37424e+11
0.000237805 7.09118e+11
0.000239779 6.45425e+11
0.000241744 7.10854e+11
0.000243673 6.32796e+11
0.000245757 6.70407e+11
0.000247871 6.59367e+11
0.00024984 6.48613e+11
0.000251597 6.5136e+11
0.000253565 6.45858e+11
0.000256 6.70246e+11
0.000258364 6.28493e+11
0.000260499 6.79032e+11
0.000262417 6.52192e+11
0.000264367 6.07128e+11
0.000266592 5.51435e+11
0.000268987 5.29937e+11
0.000271108 5.94677e+11
0.000273349 5.5975e+11
0.000275546 5.67997e+11
0.000277706 5.25127e+11
0.000280204 5.16029e+11
0.000282696 5.63797e+11
0.000284955 5.75869e+11
0.000287036 5.13297e+11
0.000289296 5.13981e+11
0.000291909 5.21447e+11
0.000294404 5.10182e+11
0.000296654 5.24757e+11
0.000299082 5.40568e+11
0.000301403 5.35364e+11
0.000303861 4.90915e+11
0.000306413 4.76654e+11
0.000308749 4.69659e+11
0.000311525 4.80454e+11
0.000313955 4.4827e+11
0.000316471 4.65065e+11
0.000319321 4.81905e+11
0.000322008 4.43271e+11
0.000324666 4.31254e+11
0.00032719 4.33742e+11
0.000329929 4.35144e+11
0.000332507 4.18541e+11
0.000335216 4.43077e+11
0.000337986 4.08138e+11
0.000340927 4.05886e+11
0.000343668 4.09002e+11
0.000346605 4.0397e+11
0.000349164 4.01345e+11
0.000352165 3.87787e+11
0.000355188 3.9289e+11
0.000358008 3.83565e+11
0.000361098 3.61661e+11
0.000363971 3.79898e+11
0.00036707 3.60261e+11
0.000369977 3.57844e+11
0.000373107 3.58136e+11
0.000376085 3.85606e+11
0.000379074 3.59854e+11
0.000382228 3.60167e+11
0.00038541 3.46822e+11
0.000388542 3.45663e+11
0.000391757 3.35993e+11
0.000394981 3.29577e+11
0.000398111 3.26245e+11
0.000401474 3.21651e+11
0.000404717 3.26268e+11
0.000407935 3.21098e+11
0.000411525 3.18997e+11
0.000414686 3.07362e+11
0.000418155 3.08872e+11
0.00042175 2.97796e+11
0.000425291 2.97914e+11
0.000428636 2.94493e+11
0.000432208 2.80729e+11
0.0004357 2.92619e+11
0.000439332 2.8735e+11
0.000442787 2.83591e+11
0.000446449 2.8828e+11
0.000450291 2.73404e+11
0.000453801 2.84392e+11
0.000457447 2.73564e+11
0.000461323 2.68501e+11
0.000465014 2.67357e+11
0.000468866 2.60865e+11
0.000472806 2.64678e+11
0.00047678 2.564e+11
0.000480624 2.56834e+11
0.000484555 2.55325e+11
0.000488474 2.58215e+11
0.000492396 2.44092e+11
0.000496538 2.43255e+11
0.000500678 2.43601e+11
0.000504761 2.4132e+11
0.000508767 2.31997e+11
0.000512959 2.36421e+11
0.000517253 2.26284e+11
0.000521544 2.25932e+11
0.000525774 2.26625e+11
0.000530168 2.24506e+11
0.000534431 2.23223e+11
0.00053878 2.22134e+11
0.000543223 2.18618e+11
0.000547788 2.17558e+11
0.000552163 2.12853e+11
0.000556755 2.04199e+11
0.000561463 2.12579e+11
0.000566064 2.00526e+11
0.000570587 2.00712e+11
0.000575277 1.99157e+11
0.000580056 2.01091e+11
0.000584753 1.96888e+11
0.000589576 1.95573e+11
0.000594327 1.96848e+11
0.000599226 1.97206e+11
0.000604166 1.89305e+11
0.000609275 1.86948e+11
0.000614265 1.83547e+11
0.000619191 1.85411e+11
0.000624415 1.82906e+11
0.000629458 1.77206e+11
0.00063466 1.82938e+11
0.00063975 1.776e+11
0.00064489 1.72413e+11
0.000650271 1.75928e+11
0.000655619 1.73965e+11
0.000661178 1.66976e+11
0.000666601 1.66255e+11
0.00067198 1.65344e+11
0.000677465 1.64927e+11
0.000682952 1.59802e+11
0.000688602 1.61301e+11
0.000694365 1.5694e+11
0.000699968 1.57925e+11
0.00070566 1.58063e+11
0.000711633 1.56823e+11
0.000717351 1.54295e+11
0.000723301 1.53339e+11
0.000729237 1.46997e+11
0.00073526 1.47091e+11
0.000741287 1.47122e+11
0.000747431 1.4627e+11
0.000753573 1.46923e+11
0.000759705 1.44741e+11
0.000765936 1.42251e+11
0.000772341 1.41764e+11
0.000778615 1.39673e+11
0.000785031 1.37436e+11
0.000791493 1.38942e+11
0.000797999 1.35165e+11
0.000804499 1.342e+11
0.000811074 1.34208e+11
0.000817707 1.31533e+11
0.000824546 1.30087e+11
0.000831271 1.29574e+11
0.000838002 1.27885e+11
0.000844949 1.2699e+11
0.000851929 1.27225e+11
0.000858954 1.25633e+11
0.000865919 1.24055e+11
0.000873072 1.22402e+11
0.000880195 1.22049e+11
0.000887393 1.1943e+11
0.000894783 1.17917e+11
0.000902097 1.16836e+11
0.00090951 1.1472e+11
0.000916929 1.15273e+11
0.000924423 1.14678e+11
0.00093206 1.14257e+11
0.000939669 1.13814e+11
0.000947384 1.11607e+11
0.000955222 1.10766e+11
0.000963012 1.10073e+11
0.00097096 1.09553e+11
0.000978975 1.09203e+11
0.000986946 1.06525e+11
0.000995044 1.05625e+11
0.00100317 1.0475e+11
0.00101134 1.03793e+11
0.00101966 1.02315e+11
0.00102811 1.02416e+11
0.0010366 1.00155e+11
0.00104515 9.98984e+10
0.00105367 9.97153e+10
0.0010623 9.75612e+10
0.00107099 9.72559e+10
0.00107984 9.67365e+10
0.00108877 9.56059e+10
0.00109754 9.43171e+10
0.00110658 9.43961e+10
0.00111585 9.25345e+10
0.001125 9.33194e+10
0.00113422 9.11013e+10
0.00114355 9.17232e+10
0.00115284 9.01925e+10
0.0011623 8.93763e+10
0.00117183 8.86019e+10
0.00118147 8.72056e+10
0.00119124 8.68344e+10
0.00120099 8.55236e+10
0.00121082 8.49932e+10
0.00122077 8.483e+10
0.00123083 8.38905e+10
0.00124092 8.33171e+10
0.00125109 8.27381e+10
0.00126141 8.20684e+10
0.00127177 8.09097e+10
0.00128216 8.0122e+10
0.00129272 7.92909e+10
0.00130337 7.89458e+10
0.00131407 7.80153e+10
0.00132486 7.66887e+10
0.00133574 7.65001e+10
0.00134668 7.59173e+10
0.0013577 7.52108e+10
0.0013688 7.51059e+10
0.00138009 7.40687e+10
0.00139144 7.35072e+10
0.00140285 7.26981e+10
0.00141438 7.21341e+10
0.0014259 7.17609e+10
0.00143763 7.10342e+10
0.00144946 7.0026e+10
0.00146138 6.95147e+10
0.00147343 6.84922e+10
0.00148553 6.83134e+10
0.00149773 6.75873e+10
0.00150998 6.65875e+10
0.00152238 6.67657e+10
0.00153493 6.56685e+10
0.00154754 6.5268e+10
0.0015602 6.44273e+10
0.00157297 6.35566e+10
0.00158593 6.35007e+10
0.00159901 6.27772e+10
0.00161212 6.21706e+10
0.00162533 6.20084e+10
0.00163867 6.11441e+10
0.00165213 6.11071e+10
0.00166568 5.96305e+10
0.00167936 5.92294e+10
0.00169314 5.88934e+10
0.00170706 5.8221e+10
0.00172108 5.77495e+10
0.00173519 5.69953e+10
0.00174947 5.6504e+10
0.00176388 5.6157e+10
0.00177833 5.54174e+10
0.00179289 5.52687e+10
0.00180762 5.43192e+10
0.0018225 5.39763e+10
0.00183749 5.34782e+10
0.00185259 5.28584e+10
0.00186776 5.2692e+10
0.00188308 5.1927e+10
0.00189858 5.14596e+10
0.00191415 5.09821e+10
0.00192986 5.0446e+10
0.00194568 4.9842e+10
0.00196164 4.92341e+10
0.00197781 4.90441e+10
0.00199407 4.83012e+10
0.00201041 4.80858e+10
0.0020269 4.73931e+10
0.00204357 4.69053e+10
0.00206031 4.64384e+10
0.00207723 4.60981e+10
0.00209433 4.56087e+10
0.00211151 4.5261e+10
0.00212883 4.47479e+10
0.00214631 4.4183e+10
0.00216395 4.37147e+10
0.00218171 4.31863e+10
0.00219964 4.29444e+10
0.0022177 4.22855e+10
0.00223591 4.19195e+10
0.00225426 4.13764e+10
0.00227273 4.09459e+10
0.00229144 4.06282e+10
0.00231024 4.01736e+10
0.00232919 3.96772e+10
0.00234835 3.92349e+10
0.00236765 3.89358e+10
0.00238708 3.85383e+10
0.00240668 3.80433e+10
0.00242645 3.76892e+10
0.00244635 3.71543e+10
0.00246642 3.67294e+10
0.00248668 3.64542e+10
0.00250712 3.60272e+10
0.0025277 3.56282e+10
0.00254846 3.51077e+10
0.00256938 3.46769e+10
0.00259045 3.4365e+10
0.00261172 3.39827e+10
0.00263319 3.35366e+10
0.00265482 3.32338e+10
0.0026766 3.28594e+10
0.00269857 3.24841e+10
0.00272074 3.20911e+10
0.00274311 3.16615e+10
0.00276562 3.13557e+10
0.00278831 3.08766e+10
0.00281122 3.058e+10
0.00283428 3.02567e+10
0.00285753 2.9815e+10
0.00288102 2.94449e+10
0.00290469 2.91404e+10
0.00292852 2.87686e+10
0.00295255 2.83586e+10
0.00297682 2.80796e+10
0.00300132 2.78054e+10
0.00302595 2.74076e+10
0.00305077 2.7057e+10
0.00307582 2.67871e+10
0.00310109 2.63888e+10
0.00312652 2.60748e+10
0.00315219 2.57187e+10
0.00317808 2.53893e+10
0.00320418 2.50742e+10
0.00323049 2.4715e+10
0.003257 2.44303e+10
0.00328375 2.41187e+10
0.00331073 2.38306e+10
0.00333793 2.35748e+10
0.00336532 2.32281e+10
0.00339295 2.29174e+10
0.00342081 2.26444e+10
0.0034489 2.23159e+10
0.00347724 2.2063e+10
0.00350579 2.17389e+10
0.00353457 2.14587e+10
0.00356356 2.11477e+10
0.0035928 2.08755e+10
0.0036223 2.06131e+10
0.00365206 2.03374e+10
0.00368208 2.00452e+10
0.00371232 1.97693e+10
0.0037428 1.95043e+10
0.00377353 1.92774e+10
0.00380451 1.90016e+10
0.00383574 1.87401e+10
0.00386724 1.84746e+10
0.00389899 1.81878e+10
0.003931 1.79766e+10
0.0039633 1.76993e+10
0.00399584 1.7477e+10
0.00402865 1.72215e+10
0.00406173 1.69869e+10
0.00409507 1.67319e+10
0.00412871 1.64982e+10
0.00416262 1.62645e+10
0.0041968 1.6066e+10
0.00423127 1.58246e+10
0.004266 1.55966e+10
0.00430101 1.53677e+10
0.00433633 1.51609e+10
0.00437195 1.49235e+10
0.00440786 1.47207e+10
0.00444405 1.45252e+10
0.00448053 1.42984e+10
0.00451731 1.40886e+10
0.0045544 1.39039e+10
0.00459181 1.36685e+10
0.00462953 1.34831e+10
0.00466752 1.32786e+10
0.00470583 1.30871e+10
0.00474448 1.2894e+10
0.00478347 1.27122e+10
0.00482275 1.25026e+10
0.00486234 1.23143e+10
0.00490225 1.21394e+10
0.0049425 1.19555e+10
0.0049831 1.17835e+10
0.00502401 1.16054e+10
0.00506526 1.14399e+10
0.00510687 1.12581e+10
0.00514879 1.10992e+10
0.00519107 1.09167e+10
0.0052337 1.07683e+10
0.00527667 1.06091e+10
0.00532001 1.04482e+10
0.00536367 1.02864e+10
0.00540771 1.01322e+10
0.00545214 9.97251e+09
0.0054969 9.8271e+09
0.00554203 9.67334e+09
0.00558753 9.53006e+09
0.00563342 9.38766e+09
0.00567967 9.24107e+09
0.00572631 9.10482e+09
0.00577334 8.96285e+09
0.00582073 8.82082e+09
0.00586853 8.6953e+09
0.00591672 8.55639e+09
0.0059653 8.42749e+09
0.00601426 8.29345e+09
0.00606365 8.1712e+09
0.00611346 8.04221e+09
0.00616366 7.913e+09
0.00621427 7.79156e+09
0.00626529 7.67724e+09
0.00631673 7.55839e+09
0.00636859 7.43697e+09
0.00642088 7.3221e+09
0.00647362 7.20746e+09
0.00652677 7.09247e+09
0.00658036 6.98592e+09
0.0066344 6.8721e+09
0.00668886 6.76056e+09
0.00674379 6.66128e+09
0.00679918 6.55564e+09
0.00685501 6.45376e+09
0.00691131 6.35605e+09
0.00696806 6.25929e+09
0.00702526 6.15842e+09
0.00708294 6.0609e+09
0.00714111 5.97004e+09
0.00719973 5.87519e+09
0.00725885 5.77944e+09
0.00731846 5.69551e+09
0.00737856 5.60322e+09
0.00743915 5.51592e+09
0.00750022 5.4315e+09
0.0075618 5.34682e+09
0.0076239 5.25959e+09
0.00768649 5.17818e+09
0.00774961 5.09879e+09
0.00781325 5.01996e+09
0.00787742 4.94443e+09
0.0079421 4.86951e+09
0.0080073 4.79655e+09
0.00807306 4.72027e+09
0.00813935 4.64951e+09
0.00820618 4.57949e+09
0.00827356 4.51009e+09
0.0083415 4.44437e+09
0.00840998 4.37569e+09
0.00847904 4.31194e+09
0.00854867 4.24917e+09
0.00861886 4.185e+09
0.00868963 4.12482e+09
0.00876099 4.06695e+09
0.00883292 4.00779e+09
0.00890544 3.95086e+09
0.00897858 3.89412e+09
0.00905231 3.84392e+09
0.00912663 3.79033e+09
0.00920156 3.7393e+09
0.00927713 3.69074e+09
0.0093533 3.64384e+09
0.0094301 3.59737e+09
0.00950753 3.55391e+09
0.0095856 3.51196e+09
0.00966431 3.47029e+09
0.00974367 3.43092e+09
0.00982367 3.39466e+09
0.00990433 3.35973e+09
0.00998566 3.32446e+09
0.0100677 3.29622e+09
0.0101503 3.26596e+09
0.0102337 3.2404e+09
0.0103177 3.21695e+09
0.0104024 3.19548e+09
0.0104878 3.17767e+09
0.010574 3.16258e+09
0.0106608 3.14924e+09
0.0107483 3.13939e+09
0.0108366 3.13374e+09
0.0109256 3.13356e+09
0.0110152 3.13406e+09
0.0111055 3.10941e+09
0.0111967 3.07144e+09
0.0112886 3.03263e+09
0.0113813 2.99647e+09
0.0114748 2.96164e+09
0.011569 2.92763e+09
0.011664 2.89331e+09
0.0117598 2.86184e+09
0.0118563 2.83043e+09
0.0119537 2.80153e+09
0.0120518 2.7722e+09
0.0121508 2.7454e+09
0.0122505 2.71892e+09
0.0123511 2.69349e+09
0.0124525 2.67035e+09
0.0125548 2.6473e+09
0.0126579 2.62619e+09
0.0127618 2.60698e+09
0.0128666 2.58963e+09
0.0129722 2.5727e+09
0.0130787 2.55877e+09
0.0131861 2.54618e+09
0.0132944 2.53503e+09
0.0134035 2.5256e+09
0.0135136 2.5194e+09
0.0136245 2.51461e+09
0.0137363 2.51247e+09
0.0138491 2.51324e+09
0.0139628 2.51564e+09
0.0140774 2.52209e+09
0.014193 2.53058e+09
0.0143095 2.54075e+09
0.014427 2.5569e+09
0.0145454 2.57397e+09
0.0146648 2.59231e+09
0.0147852 2.6141e+09
0.0149065 2.63931e+09
0.0150288 2.662e+09
0.0151522 2.68422e+09
0.0152765 2.70193e+09
0.0154018 2.70894e+09
0.0155281 2.69535e+09
0.0156556 2.66135e+09
0.0157843 2.64293e+09
0.0159139 2.6386e+09
0.0160445 2.64424e+09
0.0161763 2.65553e+09
0.0163091 2.67514e+09
0.0164429 2.70022e+09
0.0165779 2.72996e+09
0.0167139 2.77065e+09
0.0168511 2.81978e+09
0.0169894 2.87862e+09
0.0171288 2.94559e+09
0.0172693 3.0253e+09
0.0174109 3.11739e+09
0.0175537 3.22534e+09
0.0176976 3.35964e+09
0.0178426 3.51135e+09
0.0179887 3.67818e+09
0.018136 3.8792e+09
0.0182842 4.11309e+09
0.0184332 4.385e+09
0.0185832 4.71846e+09
0.0187336 5.10854e+09
0.0188802 5.48339e+09
0.0190113 5.98911e+09
0.0191299 7.89388e+07