# k P_nu(k)
# a = 0.678818
# nbins = 695
1.22718e-05 1.51093e+13
1.7355e-05 1.59706e+13
2.12555e-05 1.55312e+13
2.45437e-05 1.41755e+13
2.74407e-05 1.31502e+13
3.00598e-05 1.23937e+13
3.471e-05 1.17662e+13
3.68155e-05 1.02247e+13
3.8807e-05 8.90038e+12
4.07011e-05 9.34309e+12
4.25109e-05 8.53726e+12
4.42468e-05 8.79637e+12
4.5917e-05 7.72349e+12
4.90874e-05 8.63683e+12
5.05981e-05 7.83347e+12
5.2065e-05 8.38933e+12
5.34917e-05 7.08885e+12
5.48814e-05 7.36632e+12
5.62367e-05 7.41745e+12
5.75601e-05 8.04257e+12
6.01195e-05 6.4893e+12
6.13592e-05 7.08255e+12
6.25744e-05 6.51768e+12
6.37664e-05 6.49393e+12
6.60859e-05 6.5479e+12
6.72157e-05 6.36022e+12
6.942e-05 7.46761e+12
7.04964e-05 6.39124e+12
7.15565e-05 5.22842e+12
7.26012e-05 6.45065e+12
7.36311e-05 5.91772e+12
7.46467e-05 4.62011e+12
7.56487e-05 5.85406e+12
7.7614e-05 4.70331e+12
7.85782e-05 5.28378e+12
7.95307e-05 4.6545e+12
8.04719e-05 4.06332e+12
8.14022e-05 4.8684e+12
8.2322e-05 4.05145e+12
8.32317e-05 4.4546e+12
8.50218e-05 4.06457e+12
8.59029e-05 4.44341e+12
8.67751e-05 4.19848e+12
8.76385e-05 3.86097e+12
8.84935e-05 5.45298e+12
8.93404e-05 4.60542e+12
9.01793e-05 4.10243e+12
9.18341e-05 4.43022e+12
9.26504e-05 3.4752e+12
9.34596e-05 4.02569e+12
9.42618e-05 3.44394e+12
9.58462e-05 3.52376e+12
9.66286e-05 3.38961e+12
9.81748e-05 3.45251e+12
9.89388e-05 3.72205e+12
9.9697e-05 3.35474e+12
0.000100947 2.78928e+12
0.000101938 3.70638e+12
0.000102674 3.52247e+12
0.00010413 3.73214e+12
0.000104851 3.56926e+12
0.000105793 3.16075e+12
0.000106983 2.93489e+12
0.000107685 3.51584e+12
0.000108382 3.68925e+12
0.000109763 2.73949e+12
0.000110447 3.28241e+12
0.000111126 2.70162e+12
0.00011207 3.1348e+12
0.000113141 2.64915e+12
0.000113804 3.18736e+12
0.00011512 2.69212e+12
0.000115772 3.04063e+12
0.000116605 2.93488e+12
0.000118768 2.89916e+12
0.000120655 3.20349e+12
0.000121732 2.75766e+12
0.000122718 2.90223e+12
0.000123466 2.81858e+12
0.000125149 2.35417e+12
0.000125749 2.92238e+12
0.000126644 2.83483e+12
0.000127941 2.681e+12
0.000128708 3.18337e+12
0.000130739 2.33623e+12
0.000131943 2.56762e+12
0.000132953 2.88661e+12
0.000134431 2.68744e+12
0.000135328 2.66655e+12
0.000136101 2.09077e+12
0.000137477 2.29812e+12
0.00013884 1.63826e+12
0.000139516 2.50893e+12
0.000140611 2.38267e+12
0.000141939 2.29115e+12
0.000143463 1.92876e+12
0.000144385 2.41576e+12
0.000145548 2.13909e+12
0.000146631 1.90547e+12
0.000148112 2.171e+12
0.00014952 2.0168e+12
0.000150299 1.95377e+12
0.000151832 1.76235e+12
0.000152783 2.07054e+12
0.000154045 2.12043e+12
0.000155658 1.76211e+12
0.00015665 1.90113e+12
0.0001579 1.67031e+12
0.000159354 1.87059e+12
0.000160279 2.06542e+12
0.000161626 1.82113e+12
0.000163463 1.94327e+12
0.000164644 1.89934e+12
0.000165783 1.74858e+12
0.000167197 1.8373e+12
0.000168799 1.75468e+12
0.000170423 1.96023e+12
0.000171157 1.67603e+12
0.000172744 1.61006e+12
0.000174349 1.59944e+12
0.00017592 1.58e+12
0.000177497 1.52578e+12
0.000178723 1.64639e+12
0.000180282 1.64688e+12
0.000181376 1.65408e+12
0.000182743 1.48219e+12
0.000184551 1.5849e+12
0.000185977 1.56843e+12
0.000187589 1.49452e+12
0.000188953 1.44774e+12
0.000190863 1.54286e+12
0.000192158 1.50598e+12
0.000193916 1.53368e+12
0.000195504 1.42945e+12
0.000197181 1.53988e+12
0.000198613 1.33488e+12
0.000200148 1.36292e+12
0.000201721 1.29972e+12
0.000203587 1.4207e+12
0.00020541 1.29544e+12
0.000207172 1.30432e+12
0.000208922 1.48187e+12
0.000210371 1.37347e+12
0.000212078 1.27299e+12
0.000214191 1.17177e+12
0.000215596 1.30076e+12
0.00021743 1.11065e+12
0.000219259 1.18341e+12
0.000221084 1.13758e+12
0.00022283 1.0563e+12
0.000224493 1.11873e+12
0.000226376 1.09688e+12
0.000228421 1.07078e+12
0.000230288 1.1284e+12
0.000231928 1.00948e+12
0.00023399 1.03097e+12
0.000236053 9.42196e+11
0.000237805 1.05249e+12
0.000239779 9.60564e+11
0.000241744 1.04704e+12
0.000243673 9.3051e+11
0.000245757 9.86698e+11
0.000247871 9.81024e+11
0.00024984 9.74084e+11
0.000251597 9.59586e+11
0.000253565 9.63479e+11
0.000256 1.02116e+12
0.000258364 9.30856e+11
0.000260499 1.0187e+12
0.000262417 9.96893e+11
0.000264367 9.13871e+11
0.000266592 8.2827e+11
0.000268987 8.08389e+11
0.000271108 8.95005e+11
0.000273349 8.44118e+11
0.000275546 8.7334e+11
0.000277706 7.94398e+11
0.000280204 7.91139e+11
0.000282696 8.63207e+11
0.000284955 8.79474e+11
0.000287036 7.96083e+11
0.000289296 7.89337e+11
0.000291909 7.83095e+11
0.000294404 7.65377e+11
0.000296654 7.99212e+11
0.000299082 8.21427e+11
0.000301403 8.1616e+11
0.000303861 7.51588e+11
0.000306413 7.13155e+11
0.000308749 7.25918e+11
0.000311525 7.48191e+11
0.000313955 6.93863e+11
0.000316471 7.15085e+11
0.000319321 7.35858e+11
0.000322008 6.69936e+11
0.000324666 6.64768e+11
0.00032719 6.65903e+11
0.000329929 6.73606e+11
0.000332507 6.42252e+11
0.000335216 6.73904e+11
0.000337986 6.3367e+11
0.000340927 6.37454e+11
0.000343668 6.28275e+11
0.000346605 6.33428e+11
0.000349164 6.15001e+11
0.000352165 6.07625e+11
0.000355188 6.07366e+11
0.000358008 5.92751e+11
0.000361098 5.65984e+11
0.000363971 5.88934e+11
0.00036707 5.76263e+11
0.000369977 5.56537e+11
0.000373107 5.56358e+11
0.000376085 6.07772e+11
0.000379074 5.54273e+11
0.000382228 5.63951e+11
0.00038541 5.50589e+11
0.000388542 5.51757e+11
0.000391757 5.2114e+11
0.000394981 5.21431e+11
0.000398111 5.2379e+11
0.000401474 5.17743e+11
0.000404717 5.2116e+11
0.000407935 5.12196e+11
0.000411525 5.00425e+11
0.000414686 4.79296e+11
0.000418155 4.89931e+11
0.00042175 4.7296e+11
0.000425291 4.71301e+11
0.000428636 4.66599e+11
0.000432208 4.47482e+11
0.0004357 4.64374e+11
0.000439332 4.58425e+11
0.000442787 4.53157e+11
0.000446449 4.63059e+11
0.000450291 4.37001e+11
0.000453801 4.55225e+11
0.000457447 4.36766e+11
0.000461323 4.34014e+11
0.000465014 4.26189e+11
0.000468866 4.21449e+11
0.000472806 4.2864e+11
0.00047678 4.19747e+11
0.000480624 4.13943e+11
0.000484555 4.15023e+11
0.000488474 4.19295e+11
0.000492396 3.96594e+11
0.000496538 3.97459e+11
0.000500678 3.96774e+11
0.000504761 3.95039e+11
0.000508767 3.73459e+11
0.000512959 3.7971e+11
0.000517253 3.71089e+11
0.000521544 3.72292e+11
0.000525774 3.70189e+11
0.000530168 3.6668e+11
0.000534431 3.70579e+11
0.00053878 3.65205e+11
0.000543223 3.60348e+11
0.000547788 3.59726e+11
0.000552163 3.50531e+11
0.000556755 3.4295e+11
0.000561463 3.51131e+11
0.000566064 3.35516e+11
0.000570587 3.35855e+11
0.000575277 3.29827e+11
0.000580056 3.35452e+11
0.000584753 3.26346e+11
0.000589576 3.25087e+11
0.000594327 3.30903e+11
0.000599226 3.29126e+11
0.000604166 3.14523e+11
0.000609275 3.15154e+11
0.000614265 3.06961e+11
0.000619191 3.10642e+11
0.000624415 3.0874e+11
0.000629458 3.01082e+11
0.00063466 3.09118e+11
0.00063975 2.95797e+11
0.00064489 2.90479e+11
0.000650271 2.98568e+11
0.000655619 2.93869e+11
0.000661178 2.83827e+11
0.000666601 2.81911e+11
0.00067198 2.85768e+11
0.000677465 2.79811e+11
0.000682952 2.73596e+11
0.000688602 2.74687e+11
0.000694365 2.69633e+11
0.000699968 2.6816e+11
0.00070566 2.68032e+11
0.000711633 2.66684e+11
0.000717351 2.65911e+11
0.000723301 2.62998e+11
0.000729237 2.52094e+11
0.00073526 2.51459e+11
0.000741287 2.52699e+11
0.000747431 2.50391e+11
0.000753573 2.51329e+11
0.000759705 2.48947e+11
0.000765936 2.45638e+11
0.000772341 2.43506e+11
0.000778615 2.42975e+11
0.000785031 2.39313e+11
0.000791493 2.39006e+11
0.000797999 2.32862e+11
0.000804499 2.3575e+11
0.000811074 2.33604e+11
0.000817707 2.30963e+11
0.000824546 2.2836e+11
0.000831271 2.27249e+11
0.000838002 2.23526e+11
0.000844949 2.18109e+11
0.000851929 2.21846e+11
0.000858954 2.17707e+11
0.000865919 2.17547e+11
0.000873072 2.16468e+11
0.000880195 2.16744e+11
0.000887393 2.10344e+11
0.000894783 2.08199e+11
0.000902097 2.08163e+11
0.00090951 2.0289e+11
0.000916929 2.05998e+11
0.000924423 2.03566e+11
0.00093206 2.02297e+11
0.000939669 2.00058e+11
0.000947384 1.97285e+11
0.000955222 1.95374e+11
0.000963012 1.96763e+11
0.00097096 1.94567e+11
0.000978975 1.91916e+11
0.000986946 1.90419e+11
0.000995044 1.88884e+11
0.00100317 1.87771e+11
0.00101134 1.84295e+11
0.00101966 1.84117e+11
0.00102811 1.8225e+11
0.0010366 1.8024e+11
0.00104515 1.79969e+11
0.00105367 1.76732e+11
0.0010623 1.76489e+11
0.00107099 1.74921e+11
0.00107984 1.73705e+11
0.00108877 1.71591e+11
0.00109754 1.70125e+11
0.00110658 1.69003e+11
0.00111585 1.67005e+11
0.001125 1.67332e+11
0.00113422 1.64047e+11
0.00114355 1.64625e+11
0.00115284 1.6242e+11
0.0011623 1.6155e+11
0.00117183 1.59407e+11
0.00118147 1.57994e+11
0.00119124 1.57545e+11
0.00120099 1.55163e+11
0.00121082 1.53209e+11
0.00122077 1.53309e+11
0.00123083 1.51836e+11
0.00124092 1.50532e+11
0.00125109 1.48574e+11
0.00126141 1.47373e+11
0.00127177 1.46684e+11
0.00128216 1.45597e+11
0.00129272 1.43029e+11
0.00130337 1.43752e+11
0.00131407 1.41797e+11
0.00132486 1.39418e+11
0.00133574 1.39919e+11
0.00134668 1.37181e+11
0.0013577 1.36003e+11
0.0013688 1.35581e+11
0.00138009 1.35126e+11
0.00139144 1.33094e+11
0.00140285 1.31969e+11
0.00141438 1.29966e+11
0.0014259 1.28895e+11
0.00143763 1.28241e+11
0.00144946 1.27994e+11
0.00146138 1.26299e+11
0.00147343 1.2464e+11
0.00148553 1.23238e+11
0.00149773 1.22469e+11
0.00150998 1.21309e+11
0.00152238 1.20026e+11
0.00153493 1.18784e+11
0.00154754 1.17967e+11
0.0015602 1.16769e+11
0.00157297 1.15836e+11
0.00158593 1.14015e+11
0.00159901 1.13567e+11
0.00161212 1.12605e+11
0.00162533 1.11989e+11
0.00163867 1.10427e+11
0.00165213 1.09035e+11
0.00166568 1.08417e+11
0.00167936 1.073e+11
0.00169314 1.05806e+11
0.00170706 1.04598e+11
0.00172108 1.03801e+11
0.00173519 1.02706e+11
0.00174947 1.01864e+11
0.00176388 1.01022e+11
0.00177833 9.98171e+10
0.00179289 9.88271e+10
0.00180762 9.82648e+10
0.0018225 9.69103e+10
0.00183749 9.5425e+10
0.00185259 9.47019e+10
0.00186776 9.36889e+10
0.00188308 9.32036e+10
0.00189858 9.20505e+10
0.00191415 9.1343e+10
0.00192986 8.99966e+10
0.00194568 8.92935e+10
0.00196164 8.82748e+10
0.00197781 8.70702e+10
0.00199407 8.62199e+10
0.00201041 8.5376e+10
0.0020269 8.43733e+10
0.00204357 8.37947e+10
0.00206031 8.27166e+10
0.00207723 8.18189e+10
0.00209433 8.10531e+10
0.00211151 7.98443e+10
0.00212883 7.86546e+10
0.00214631 7.80444e+10
0.00216395 7.72079e+10
0.00218171 7.62862e+10
0.00219964 7.53793e+10
0.0022177 7.44942e+10
0.00223591 7.37974e+10
0.00225426 7.27872e+10
0.00227273 7.20717e+10
0.00229144 7.12453e+10
0.00231024 7.03468e+10
0.00232919 6.96105e+10
0.00234835 6.87309e+10
0.00236765 6.80649e+10
0.00238708 6.7187e+10
0.00240668 6.62045e+10
0.00242645 6.55691e+10
0.00244635 6.49048e+10
0.00246642 6.40117e+10
0.00248668 6.35643e+10
0.00250712 6.25909e+10
0.0025277 6.18497e+10
0.00254846 6.09933e+10
0.00256938 6.03555e+10
0.00259045 5.96047e+10
0.00261172 5.88351e+10
0.00263319 5.81078e+10
0.00265482 5.73163e+10
0.0026766 5.67513e+10
0.00269857 5.59211e+10
0.00272074 5.51802e+10
0.00274311 5.4463e+10
0.00276562 5.37708e+10
0.00278831 5.31604e+10
0.00281122 5.24966e+10
0.00283428 5.1792e+10
0.00285753 5.0959e+10
0.00288102 5.04309e+10
0.00290469 4.98249e+10
0.00292852 4.91541e+10
0.00295255 4.84321e+10
0.00297682 4.78872e+10
0.00300132 4.72665e+10
0.00302595 4.66353e+10
0.00305077 4.58762e+10
0.00307582 4.52308e+10
0.00310109 4.4754e+10
0.00312652 4.41479e+10
0.00315219 4.34797e+10
0.00317808 4.29326e+10
0.00320418 4.22559e+10
0.00323049 4.17677e+10
0.003257 4.11628e+10
0.00328375 4.06463e+10
0.00331073 4.00816e+10
0.00333793 3.95649e+10
0.00336532 3.89659e+10
0.00339295 3.84225e+10
0.00342081 3.79128e+10
0.0034489 3.73974e+10
0.00347724 3.69162e+10
0.00350579 3.64927e+10
0.00353457 3.58402e+10
0.00356356 3.53746e+10
0.0035928 3.4912e+10
0.0036223 3.43783e+10
0.00365206 3.38951e+10
0.00368208 3.34058e+10
0.00371232 3.29352e+10
0.0037428 3.24767e+10
0.00377353 3.20109e+10
0.00380451 3.15411e+10
0.00383574 3.11207e+10
0.00386724 3.0645e+10
0.00389899 3.02158e+10
0.003931 2.97583e+10
0.0039633 2.93747e+10
0.00399584 2.89439e+10
0.00402865 2.84952e+10
0.00406173 2.80837e+10
0.00409507 2.77072e+10
0.00412871 2.72949e+10
0.00416262 2.68645e+10
0.0041968 2.64872e+10
0.00423127 2.60822e+10
0.004266 2.57009e+10
0.00430101 2.53497e+10
0.00433633 2.49366e+10
0.00437195 2.45898e+10
0.00440786 2.42032e+10
0.00444405 2.38351e+10
0.00448053 2.35276e+10
0.00451731 2.31651e+10
0.0045544 2.28133e+10
0.00459181 2.24929e+10
0.00462953 2.21481e+10
0.00466752 2.18228e+10
0.00470583 2.14981e+10
0.00474448 2.11746e+10
0.00478347 2.0863e+10
0.00482275 2.05174e+10
0.00486234 2.02325e+10
0.00490225 1.99075e+10
0.0049425 1.96163e+10
0.0049831 1.93106e+10
0.00502401 1.90047e+10
0.00506526 1.87474e+10
0.00510687 1.84486e+10
0.00514879 1.81696e+10
0.00519107 1.79017e+10
0.0052337 1.76035e+10
0.00527667 1.73551e+10
0.00532001 1.70739e+10
0.00536367 1.68217e+10
0.00540771 1.6557e+10
0.00545214 1.63063e+10
0.0054969 1.6049e+10
0.00554203 1.57962e+10
0.00558753 1.55623e+10
0.00563342 1.53264e+10
0.00567967 1.50739e+10
0.00572631 1.48438e+10
0.00577334 1.46029e+10
0.00582073 1.43916e+10
0.00586853 1.41608e+10
0.00591672 1.39532e+10
0.0059653 1.37345e+10
0.00601426 1.35249e+10
0.00606365 1.3305e+10
0.00611346 1.31061e+10
0.00616366 1.28902e+10
0.00621427 1.26999e+10
0.00626529 1.24996e+10
0.00631673 1.2299e+10
0.00636859 1.21062e+10
0.00642088 1.19238e+10
0.00647362 1.17271e+10
0.00652677 1.15439e+10
0.00658036 1.13668e+10
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