# k P_nu(k) # a = 0.358477 # nbins = 695 1.22718e-05 5.10914e+12 1.7355e-05 5.3971e+12 2.12555e-05 5.25e+12 2.45437e-05 4.87595e+12 2.74407e-05 4.54981e+12 3.00598e-05 4.28492e+12 3.471e-05 3.9597e+12 3.68155e-05 3.57054e+12 3.8807e-05 3.2237e+12 4.07011e-05 3.25873e+12 4.25109e-05 3.04797e+12 4.42468e-05 3.0525e+12 4.5917e-05 2.78319e+12 4.90874e-05 2.91271e+12 5.05981e-05 2.73148e+12 5.2065e-05 2.81617e+12 5.34917e-05 2.53297e+12 5.48814e-05 2.56831e+12 5.62367e-05 2.56572e+12 5.75601e-05 2.67097e+12 6.01195e-05 2.33358e+12 6.13592e-05 2.42829e+12 6.25744e-05 2.31497e+12 6.37664e-05 2.28316e+12 6.60859e-05 2.27792e+12 6.72157e-05 2.2229e+12 6.942e-05 2.42151e+12 7.04964e-05 2.19286e+12 7.15565e-05 1.94632e+12 7.26012e-05 2.17742e+12 7.36311e-05 2.03315e+12 7.46467e-05 1.78537e+12 7.56487e-05 2.02859e+12 7.7614e-05 1.74752e+12 7.85782e-05 1.85997e+12 7.95307e-05 1.70324e+12 8.04719e-05 1.55988e+12 8.14022e-05 1.70546e+12 8.2322e-05 1.5544e+12 8.32317e-05 1.61495e+12 8.50218e-05 1.56769e+12 8.59029e-05 1.56021e+12 8.67751e-05 1.50437e+12 8.76385e-05 1.42162e+12 8.84935e-05 1.74405e+12 8.93404e-05 1.55857e+12 9.01793e-05 1.4323e+12 9.18341e-05 1.48288e+12 9.26504e-05 1.27696e+12 9.34596e-05 1.3551e+12 9.42618e-05 1.2463e+12 9.58462e-05 1.25655e+12 9.66286e-05 1.23548e+12 9.81748e-05 1.25969e+12 9.89388e-05 1.26487e+12 9.9697e-05 1.1894e+12 0.000100947 1.08455e+12 0.000101938 1.23452e+12 0.000102674 1.19974e+12 0.00010413 1.22649e+12 0.000104851 1.185e+12 0.000105793 1.1144e+12 0.000106983 1.08432e+12 0.000107685 1.16729e+12 0.000108382 1.21139e+12 0.000109763 9.70874e+11 0.000110447 1.12755e+12 0.000111126 9.8349e+11 0.00011207 1.06444e+12 0.000113141 9.61554e+11 0.000113804 1.09625e+12 0.00011512 9.85038e+11 0.000115772 1.04687e+12 0.000116605 1.00849e+12 0.000118768 1.0103e+12 0.000120655 1.08136e+12 0.000121732 9.67855e+11 0.000122718 9.52311e+11 0.000123466 9.66195e+11 0.000125149 8.86552e+11 0.000125749 1.00073e+12 0.000126644 9.73508e+11 0.000127941 9.23704e+11 0.000128708 1.04073e+12 0.000130739 8.48915e+11 0.000131943 8.96601e+11 0.000132953 9.4295e+11 0.000134431 9.03582e+11 0.000135328 9.25574e+11 0.000136101 7.76448e+11 0.000137477 8.21047e+11 0.00013884 6.5101e+11 0.000139516 8.47495e+11 0.000140611 8.07662e+11 0.000141939 7.69264e+11 0.000143463 6.93579e+11 0.000144385 8.26305e+11 0.000145548 7.41465e+11 0.000146631 6.65361e+11 0.000148112 7.48114e+11 0.00014952 6.93014e+11 0.000150299 7.07562e+11 0.000151832 6.23035e+11 0.000152783 7.13893e+11 0.000154045 7.07669e+11 0.000155658 6.20675e+11 0.00015665 6.44537e+11 0.0001579 5.83674e+11 0.000159354 6.22364e+11 0.000160279 6.60788e+11 0.000161626 5.99947e+11 0.000163463 6.37361e+11 0.000164644 6.06894e+11 0.000165783 6.05547e+11 0.000167197 5.89689e+11 0.000168799 5.87427e+11 0.000170423 6.25363e+11 0.000171157 5.55867e+11 0.000172744 5.46752e+11 0.000174349 5.49214e+11 0.00017592 5.30473e+11 0.000177497 5.22481e+11 0.000178723 5.52071e+11 0.000180282 5.35776e+11 0.000181376 5.46671e+11 0.000182743 5.07473e+11 0.000184551 5.26152e+11 0.000185977 5.24794e+11 0.000187589 5.13283e+11 0.000188953 4.72766e+11 0.000190863 5.08629e+11 0.000192158 5.06203e+11 0.000193916 5.07783e+11 0.000195504 4.68604e+11 0.000197181 4.97277e+11 0.000198613 4.50065e+11 0.000200148 4.36359e+11 0.000201721 4.32896e+11 0.000203587 4.51756e+11 0.00020541 4.30023e+11 0.000207172 4.14886e+11 0.000208922 4.48204e+11 0.000210371 4.18994e+11 0.000212078 4.0849e+11 0.000214191 3.94269e+11 0.000215596 4.18808e+11 0.00021743 3.68519e+11 0.000219259 3.684e+11 0.000221084 3.61467e+11 0.00022283 3.51031e+11 0.000224493 3.65879e+11 0.000226376 3.37588e+11 0.000228421 3.47741e+11 0.000230288 3.61395e+11 0.000231928 3.30052e+11 0.00023399 3.28683e+11 0.000236053 3.1004e+11 0.000237805 3.37453e+11 0.000239779 3.09767e+11 0.000241744 3.36501e+11 0.000243673 3.06925e+11 0.000245757 3.20054e+11 0.000247871 3.14362e+11 0.00024984 3.09198e+11 0.000251597 3.08597e+11 0.000253565 3.04401e+11 0.000256 3.05807e+11 0.000258364 2.98234e+11 0.000260499 3.13162e+11 0.000262417 2.94242e+11 0.000264367 2.81359e+11 0.000266592 2.62199e+11 0.000268987 2.52481e+11 0.000271108 2.76799e+11 0.000273349 2.60945e+11 0.000275546 2.57559e+11 0.000277706 2.45798e+11 0.000280204 2.39577e+11 0.000282696 2.58246e+11 0.000284955 2.60765e+11 0.000287036 2.32959e+11 0.000289296 2.33374e+11 0.000291909 2.40817e+11 0.000294404 2.39543e+11 0.000296654 2.39735e+11 0.000299082 2.4814e+11 0.000301403 2.40198e+11 0.000303861 2.23568e+11 0.000306413 2.2113e+11 0.000308749 2.12372e+11 0.000311525 2.1621e+11 0.000313955 2.06149e+11 0.000316471 2.12557e+11 0.000319321 2.19765e+11 0.000322008 2.04588e+11 0.000324666 1.97066e+11 0.00032719 1.94545e+11 0.000329929 1.94785e+11 0.000332507 1.92809e+11 0.000335216 1.99712e+11 0.000337986 1.85494e+11 0.000340927 1.81825e+11 0.000343668 1.83122e+11 0.000346605 1.7769e+11 0.000349164 1.79736e+11 0.000352165 1.71614e+11 0.000355188 1.72453e+11 0.000358008 1.7277e+11 0.000361098 1.63423e+11 0.000363971 1.67217e+11 0.00036707 1.55665e+11 0.000369977 1.59843e+11 0.000373107 1.58141e+11 0.000376085 1.63848e+11 0.000379074 1.58322e+11 0.000382228 1.55519e+11 0.00038541 1.51262e+11 0.000388542 1.49048e+11 0.000391757 1.47885e+11 0.000394981 1.44258e+11 0.000398111 1.3775e+11 0.000401474 1.37435e+11 0.000404717 1.36346e+11 0.000407935 1.36096e+11 0.000411525 1.38727e+11 0.000414686 1.35381e+11 0.000418155 1.3328e+11 0.00042175 1.29456e+11 0.000425291 1.26696e+11 0.000428636 1.25791e+11 0.000432208 1.21945e+11 0.0004357 1.24026e+11 0.000439332 1.21726e+11 0.000442787 1.19277e+11 0.000446449 1.19457e+11 0.000450291 1.16161e+11 0.000453801 1.20082e+11 0.000457447 1.14775e+11 0.000461323 1.11679e+11 0.000465014 1.11523e+11 0.000468866 1.0874e+11 0.000472806 1.07572e+11 0.00047678 1.06203e+11 0.000480624 1.0635e+11 0.000484555 1.04219e+11 0.000488474 1.05307e+11 0.000492396 9.99045e+10 0.000496538 1.00823e+11 0.000500678 9.89609e+10 0.000504761 9.81733e+10 0.000508767 9.63172e+10 0.000512959 9.76664e+10 0.000517253 9.28044e+10 0.000521544 9.05457e+10 0.000525774 9.21216e+10 0.000530168 9.06444e+10 0.000534431 8.8077e+10 0.00053878 8.92563e+10 0.000543223 8.67991e+10 0.000547788 8.71283e+10 0.000552163 8.54109e+10 0.000556755 8.00739e+10 0.000561463 8.22473e+10 0.000566064 8.03737e+10 0.000570587 7.87818e+10 0.000575277 7.79284e+10 0.000580056 7.80872e+10 0.000584753 7.83599e+10 0.000589576 7.74683e+10 0.000594327 7.55346e+10 0.000599226 7.58501e+10 0.000604166 7.39176e+10 0.000609275 7.11937e+10 0.000614265 7.27502e+10 0.000619191 7.03095e+10 0.000624415 7.05727e+10 0.000629458 6.88103e+10 0.00063466 6.86711e+10 0.00063975 6.79662e+10 0.00064489 6.62844e+10 0.000650271 6.6117e+10 0.000655619 6.49898e+10 0.000661178 6.34839e+10 0.000666601 6.2162e+10 0.00067198 6.10072e+10 0.000677465 6.17477e+10 0.000682952 6.05277e+10 0.000688602 6.01421e+10 0.000694365 5.9063e+10 0.000699968 5.90909e+10 0.00070566 5.80925e+10 0.000711633 5.87616e+10 0.000717351 5.63016e+10 0.000723301 5.56049e+10 0.000729237 5.52229e+10 0.00073526 5.46585e+10 0.000741287 5.48082e+10 0.000747431 5.37128e+10 0.000753573 5.2809e+10 0.000759705 5.22406e+10 0.000765936 5.14481e+10 0.000772341 5.13157e+10 0.000778615 5.04724e+10 0.000785031 4.87756e+10 0.000791493 4.87476e+10 0.000797999 4.81868e+10 0.000804499 4.69874e+10 0.000811074 4.74943e+10 0.000817707 4.61469e+10 0.000824546 4.60788e+10 0.000831271 4.59715e+10 0.000838002 4.53694e+10 0.000844949 4.4834e+10 0.000851929 4.39926e+10 0.000858954 4.34811e+10 0.000865919 4.30114e+10 0.000873072 4.22132e+10 0.000880195 4.1889e+10 0.000887393 4.07149e+10 0.000894783 4.05786e+10 0.000902097 4.02537e+10 0.00090951 3.97115e+10 0.000916929 3.92875e+10 0.000924423 3.91467e+10 0.00093206 3.88549e+10 0.000939669 3.82626e+10 0.000947384 3.79884e+10 0.000955222 3.73989e+10 0.000963012 3.67462e+10 0.00097096 3.65449e+10 0.000978975 3.62701e+10 0.000986946 3.5715e+10 0.000995044 3.53905e+10 0.00100317 3.50635e+10 0.00101134 3.45692e+10 0.00101966 3.41566e+10 0.00102811 3.40525e+10 0.0010366 3.31411e+10 0.00104515 3.31899e+10 0.00105367 3.26817e+10 0.0010623 3.21875e+10 0.00107099 3.17925e+10 0.00107984 3.1396e+10 0.00108877 3.11218e+10 0.00109754 3.09272e+10 0.00110658 3.07595e+10 0.00111585 2.98088e+10 0.001125 2.98103e+10 0.00113422 2.96071e+10 0.00114355 2.96067e+10 0.00115284 2.87645e+10 0.0011623 2.85528e+10 0.00117183 2.8037e+10 0.00118147 2.79402e+10 0.00119124 2.74582e+10 0.00120099 2.74064e+10 0.00121082 2.70919e+10 0.00122077 2.69804e+10 0.00123083 2.64945e+10 0.00124092 2.6121e+10 0.00125109 2.60674e+10 0.00126141 2.57061e+10 0.00127177 2.5395e+10 0.00128216 2.50635e+10 0.00129272 2.50286e+10 0.00130337 2.4552e+10 0.00131407 2.44682e+10 0.00132486 2.41802e+10 0.00133574 2.38301e+10 0.00134668 2.34272e+10 0.0013577 2.34953e+10 0.0013688 2.3169e+10 0.00138009 2.27761e+10 0.00139144 2.28023e+10 0.00140285 2.23932e+10 0.00141438 2.22861e+10 0.0014259 2.2051e+10 0.00143763 2.1744e+10 0.00144946 2.15106e+10 0.00146138 2.14231e+10 0.00147343 2.09945e+10 0.00148553 2.08471e+10 0.00149773 2.06772e+10 0.00150998 2.04454e+10 0.00152238 2.02918e+10 0.00153493 2.00858e+10 0.00154754 1.99189e+10 0.0015602 1.96096e+10 0.00157297 1.94896e+10 0.00158593 1.9216e+10 0.00159901 1.90057e+10 0.00161212 1.88928e+10 0.00162533 1.87245e+10 0.00163867 1.84479e+10 0.00165213 1.84016e+10 0.00166568 1.81283e+10 0.00167936 1.80104e+10 0.00169314 1.78691e+10 0.00170706 1.76275e+10 0.00172108 1.74474e+10 0.00173519 1.73523e+10 0.00174947 1.71762e+10 0.00176388 1.70334e+10 0.00177833 1.67902e+10 0.00179289 1.66917e+10 0.00180762 1.64783e+10 0.0018225 1.61924e+10 0.00183749 1.61358e+10 0.00185259 1.6032e+10 0.00186776 1.58401e+10 0.00188308 1.56519e+10 0.00189858 1.555e+10 0.00191415 1.53786e+10 0.00192986 1.52575e+10 0.00194568 1.50736e+10 0.00196164 1.48536e+10 0.00197781 1.47995e+10 0.00199407 1.46272e+10 0.00201041 1.44836e+10 0.0020269 1.43185e+10 0.00204357 1.41821e+10 0.00206031 1.40883e+10 0.00207723 1.39506e+10 0.00209433 1.38594e+10 0.00211151 1.36899e+10 0.00212883 1.35551e+10 0.00214631 1.33969e+10 0.00216395 1.33072e+10 0.00218171 1.31565e+10 0.00219964 1.30352e+10 0.0022177 1.28924e+10 0.00223591 1.27874e+10 0.00225426 1.26478e+10 0.00227273 1.25225e+10 0.00229144 1.23738e+10 0.00231024 1.22875e+10 0.00232919 1.21602e+10 0.00234835 1.20416e+10 0.00236765 1.19399e+10 0.00238708 1.18343e+10 0.00240668 1.16839e+10 0.00242645 1.16103e+10 0.00244635 1.1455e+10 0.00246642 1.13511e+10 0.00248668 1.12226e+10 0.00250712 1.11161e+10 0.0025277 1.10279e+10 0.00254846 1.08799e+10 0.00256938 1.0761e+10 0.00259045 1.06938e+10 0.00261172 1.05715e+10 0.00263319 1.04618e+10 0.00265482 1.03509e+10 0.0026766 1.02744e+10 0.00269857 1.0163e+10 0.00272074 1.00309e+10 0.00274311 9.94611e+09 0.00276562 9.85343e+09 0.00278831 9.74713e+09 0.00281122 9.64182e+09 0.00283428 9.57378e+09 0.00285753 9.46005e+09 0.00288102 9.35042e+09 0.00290469 9.25284e+09 0.00292852 9.18333e+09 0.00295255 9.07509e+09 0.00297682 8.98716e+09 0.00300132 8.89158e+09 0.00302595 8.80458e+09 0.00305077 8.70663e+09 0.00307582 8.58952e+09 0.00310109 8.51378e+09 0.00312652 8.42709e+09 0.00315219 8.33371e+09 0.00317808 8.24001e+09 0.00320418 8.16064e+09 0.00323049 8.06057e+09 0.003257 7.98103e+09 0.00328375 7.89326e+09 0.00331073 7.82329e+09 0.00333793 7.72826e+09 0.00336532 7.64954e+09 0.00339295 7.55963e+09 0.00342081 7.49047e+09 0.0034489 7.40138e+09 0.00347724 7.318e+09 0.00350579 7.24259e+09 0.00353457 7.16705e+09 0.00356356 7.08481e+09 0.0035928 7.00508e+09 0.0036223 6.91913e+09 0.00365206 6.84575e+09 0.00368208 6.76799e+09 0.00371232 6.6914e+09 0.0037428 6.62244e+09 0.00377353 6.53643e+09 0.00380451 6.46965e+09 0.00383574 6.39468e+09 0.00386724 6.31842e+09 0.00389899 6.25475e+09 0.003931 6.1874e+09 0.0039633 6.1158e+09 0.00399584 6.03249e+09 0.00402865 5.97168e+09 0.00406173 5.89581e+09 0.00409507 5.82703e+09 0.00412871 5.75831e+09 0.00416262 5.68679e+09 0.0041968 5.62088e+09 0.00423127 5.55849e+09 0.004266 5.49011e+09 0.00430101 5.42012e+09 0.00433633 5.35968e+09 0.00437195 5.2893e+09 0.00440786 5.22997e+09 0.00444405 5.1683e+09 0.00448053 5.10359e+09 0.00451731 5.04455e+09 0.0045544 4.9779e+09 0.00459181 4.91966e+09 0.00462953 4.86071e+09 0.00466752 4.79701e+09 0.00470583 4.73666e+09 0.00474448 4.67889e+09 0.00478347 4.61826e+09 0.00482275 4.56175e+09 0.00486234 4.50259e+09 0.00490225 4.44868e+09 0.0049425 4.39346e+09 0.0049831 4.33618e+09 0.00502401 4.28153e+09 0.00506526 4.23105e+09 0.00510687 4.16991e+09 0.00514879 4.11869e+09 0.00519107 4.06894e+09 0.0052337 4.01286e+09 0.00527667 3.95941e+09 0.00532001 3.912e+09 0.00536367 3.86047e+09 0.00540771 3.80693e+09 0.00545214 3.7605e+09 0.0054969 3.70752e+09 0.00554203 3.66114e+09 0.00558753 3.6129e+09 0.00563342 3.5646e+09 0.00567967 3.5212e+09 0.00572631 3.47001e+09 0.00577334 3.42234e+09 0.00582073 3.37652e+09 0.00586853 3.33105e+09 0.00591672 3.28493e+09 0.0059653 3.24411e+09 0.00601426 3.20212e+09 0.00606365 3.15682e+09 0.00611346 3.11542e+09 0.00616366 3.0754e+09 0.00621427 3.03273e+09 0.00626529 2.98909e+09 0.00631673 2.94924e+09 0.00636859 2.91041e+09 0.00642088 2.87027e+09 0.00647362 2.82992e+09 0.00652677 2.79239e+09 0.00658036 2.75332e+09 0.0066344 2.71512e+09 0.00668886 2.67768e+09 0.00674379 2.64033e+09 0.00679918 2.60427e+09 0.00685501 2.56865e+09 0.00691131 2.53303e+09 0.00696806 2.49868e+09 0.00702526 2.46523e+09 0.00708294 2.42842e+09 0.00714111 2.39687e+09 0.00719973 2.36334e+09 0.00725885 2.3314e+09 0.00731846 2.29858e+09 0.00737856 2.26606e+09 0.00743915 2.23476e+09 0.00750022 2.2028e+09 0.0075618 2.17251e+09 0.0076239 2.14495e+09 0.00768649 2.11359e+09 0.00774961 2.0842e+09 0.00781325 2.05609e+09 0.00787742 2.02779e+09 0.0079421 1.99894e+09 0.0080073 1.97166e+09 0.00807306 1.94501e+09 0.00813935 1.91812e+09 0.00820618 1.89271e+09 0.00827356 1.86722e+09 0.0083415 1.84192e+09 0.00840998 1.81709e+09 0.00847904 1.79336e+09 0.00854867 1.76955e+09 0.00861886 1.74658e+09 0.00868963 1.72369e+09 0.00876099 1.70136e+09 0.00883292 1.68022e+09 0.00890544 1.65888e+09 0.00897858 1.63934e+09 0.00905231 1.61869e+09 0.00912663 1.59889e+09 0.00920156 1.58034e+09 0.00927713 1.56151e+09 0.0093533 1.54463e+09 0.0094301 1.52756e+09 0.00950753 1.51092e+09 0.0095856 1.49569e+09 0.00966431 1.48016e+09 0.00974367 1.4661e+09 0.00982367 1.45286e+09 0.00990433 1.43963e+09 0.00998566 1.42792e+09 0.0100677 1.41671e+09 0.0101503 1.40604e+09 0.0102337 1.39706e+09 0.0103177 1.38918e+09 0.0104024 1.38247e+09 0.0104878 1.37694e+09 0.010574 1.37262e+09 0.0106608 1.36875e+09 0.0107483 1.36696e+09 0.0108366 1.36673e+09 0.0109256 1.36784e+09 0.0110152 1.37075e+09 0.0111055 1.36076e+09 0.0111967 1.34489e+09 0.0112886 1.3299e+09 0.0113813 1.3157e+09 0.0114748 1.30158e+09 0.011569 1.28828e+09 0.011664 1.27546e+09 0.0117598 1.26328e+09 0.0118563 1.25155e+09 0.0119537 1.24116e+09 0.0120518 1.23005e+09 0.0121508 1.21975e+09 0.0122505 1.21076e+09 0.0123511 1.20205e+09 0.0124525 1.19347e+09 0.0125548 1.18576e+09 0.0126579 1.17938e+09 0.0127618 1.17242e+09 0.0128666 1.16709e+09 0.0129722 1.16236e+09 0.0130787 1.15822e+09 0.0131861 1.15462e+09 0.0132944 1.15268e+09 0.0134035 1.15068e+09 0.0135136 1.15046e+09 0.0136245 1.15121e+09 0.0137363 1.15259e+09 0.0138491 1.15523e+09 0.0139628 1.15951e+09 0.0140774 1.16463e+09 0.014193 1.17101e+09 0.0143095 1.17914e+09 0.014427 1.18787e+09 0.0145454 1.19868e+09 0.0146648 1.21075e+09 0.0147852 1.22394e+09 0.0149065 1.23746e+09 0.0150288 1.25051e+09 0.0151522 1.26362e+09 0.0152765 1.27431e+09 0.0154018 1.28105e+09 0.0155281 1.27768e+09 0.0156556 1.26426e+09 0.0157843 1.26063e+09 0.0159139 1.26122e+09 0.0160445 1.26843e+09 0.0161763 1.27673e+09 0.0163091 1.28835e+09 0.0164429 1.3047e+09 0.0165779 1.32481e+09 0.0167139 1.34744e+09 0.0168511 1.37503e+09 0.0169894 1.40641e+09 0.0171288 1.44435e+09 0.0172693 1.48648e+09 0.0174109 1.53854e+09 0.0175537 1.59952e+09 0.0176976 1.66437e+09 0.0178426 1.74453e+09 0.0179887 1.83612e+09 0.018136 1.93993e+09 0.0182842 2.06079e+09 0.0184332 2.20169e+09 0.0185832 2.37201e+09 0.0187336 2.55427e+09 0.0188802 2.76638e+09 0.0190113 2.92293e+09 0.0191299 561241