# k P_nu(k)
# a = 0.0322584
# nbins = 695
1.22718e-05 4.2583e+10
1.7355e-05 4.44792e+10
2.12555e-05 4.29827e+10
2.45437e-05 4.05242e+10
2.74407e-05 3.79798e+10
3.00598e-05 3.55977e+10
3.471e-05 3.16167e+10
3.68155e-05 2.98097e+10
3.8807e-05 2.8224e+10
4.07011e-05 2.71145e+10
4.25109e-05 2.59888e+10
4.42468e-05 2.51594e+10
4.5917e-05 2.42249e+10
4.90874e-05 2.31547e+10
5.05981e-05 2.25637e+10
5.2065e-05 2.21951e+10
5.34917e-05 2.16161e+10
5.48814e-05 2.13005e+10
5.62367e-05 2.09957e+10
5.75601e-05 2.07881e+10
6.01195e-05 2.00117e+10
6.13592e-05 1.98094e+10
6.25744e-05 1.94855e+10
6.37664e-05 1.92125e+10
6.60859e-05 1.87047e+10
6.72157e-05 1.84213e+10
6.942e-05 1.80345e+10
7.04964e-05 1.76237e+10
7.15565e-05 1.71965e+10
7.26012e-05 1.70811e+10
7.36311e-05 1.67071e+10
7.46467e-05 1.62911e+10
7.56487e-05 1.62132e+10
7.7614e-05 1.54529e+10
7.85782e-05 1.52822e+10
7.95307e-05 1.48972e+10
8.04719e-05 1.45475e+10
8.14022e-05 1.43811e+10
8.2322e-05 1.40538e+10
8.32317e-05 1.38416e+10
8.50218e-05 1.33958e+10
8.59029e-05 1.3098e+10
8.67751e-05 1.28393e+10
8.76385e-05 1.25638e+10
8.84935e-05 1.25879e+10
8.93404e-05 1.22618e+10
9.01793e-05 1.1973e+10
9.18341e-05 1.16432e+10
9.26504e-05 1.13383e+10
9.34596e-05 1.12115e+10
9.42618e-05 1.09804e+10
9.58462e-05 1.07112e+10
9.66286e-05 1.05704e+10
9.81748e-05 1.03379e+10
9.89388e-05 1.02057e+10
9.9697e-05 1.00551e+10
0.000100947 9.82542e+09
0.000101938 9.77017e+09
0.000102674 9.67251e+09
0.00010413 9.50131e+09
0.000104851 9.40918e+09
0.000105793 9.28558e+09
0.000106983 9.16971e+09
0.000107685 9.13326e+09
0.000108382 9.11654e+09
0.000109763 8.78398e+09
0.000110447 8.91208e+09
0.000111126 8.7422e+09
0.00011207 8.73341e+09
0.000113141 8.59704e+09
0.000113804 8.65824e+09
0.00011512 8.50031e+09
0.000115772 8.49756e+09
0.000116605 8.40713e+09
0.000118768 8.30719e+09
0.000120655 8.25206e+09
0.000121732 8.10702e+09
0.000122718 8.00278e+09
0.000123466 7.98575e+09
0.000125149 7.84623e+09
0.000125749 7.86781e+09
0.000126644 7.79484e+09
0.000127941 7.65914e+09
0.000128708 7.67414e+09
0.000130739 7.39857e+09
0.000131943 7.34318e+09
0.000132953 7.27163e+09
0.000134431 7.15217e+09
0.000135328 7.10603e+09
0.000136101 6.91016e+09
0.000137477 6.8337e+09
0.00013884 6.57555e+09
0.000139516 6.66605e+09
0.000140611 6.52724e+09
0.000141939 6.38153e+09
0.000143463 6.19935e+09
0.000144385 6.23409e+09
0.000145548 6.04685e+09
0.000146631 5.90282e+09
0.000148112 5.85371e+09
0.00014952 5.69182e+09
0.000150299 5.66547e+09
0.000151832 5.46204e+09
0.000152783 5.4678e+09
0.000154045 5.36712e+09
0.000155658 5.19425e+09
0.00015665 5.1539e+09
0.0001579 5.03178e+09
0.000159354 4.98048e+09
0.000160279 4.96238e+09
0.000161626 4.84972e+09
0.000163463 4.79512e+09
0.000164644 4.72009e+09
0.000165783 4.70616e+09
0.000167197 4.61131e+09
0.000168799 4.58054e+09
0.000170423 4.54284e+09
0.000171157 4.47089e+09
0.000172744 4.4271e+09
0.000174349 4.3971e+09
0.00017592 4.3172e+09
0.000177497 4.28478e+09
0.000178723 4.28313e+09
0.000180282 4.22888e+09
0.000181376 4.20439e+09
0.000182743 4.15106e+09
0.000184551 4.11548e+09
0.000185977 4.07936e+09
0.000187589 4.03164e+09
0.000188953 3.94777e+09
0.000190863 3.92377e+09
0.000192158 3.88638e+09
0.000193916 3.83674e+09
0.000195504 3.74463e+09
0.000197181 3.7067e+09
0.000198613 3.63358e+09
0.000200148 3.56895e+09
0.000201721 3.51154e+09
0.000203587 3.45443e+09
0.00020541 3.37543e+09
0.000207172 3.29997e+09
0.000208922 3.26215e+09
0.000210371 3.19552e+09
0.000212078 3.13554e+09
0.000214191 3.07096e+09
0.000215596 3.04479e+09
0.00021743 2.96416e+09
0.000219259 2.90948e+09
0.000221084 2.85249e+09
0.00022283 2.81634e+09
0.000224493 2.79527e+09
0.000226376 2.71884e+09
0.000228421 2.70207e+09
0.000230288 2.67908e+09
0.000231928 2.63622e+09
0.00023399 2.58433e+09
0.000236053 2.5561e+09
0.000237805 2.54979e+09
0.000239779 2.49764e+09
0.000241744 2.48922e+09
0.000243673 2.44631e+09
0.000245757 2.428e+09
0.000247871 2.39751e+09
0.00024984 2.37444e+09
0.000251597 2.33686e+09
0.000253565 2.30201e+09
0.000256 2.26301e+09
0.000258364 2.23418e+09
0.000260499 2.20181e+09
0.000262417 2.1525e+09
0.000264367 2.12267e+09
0.000266592 2.07704e+09
0.000268987 2.04373e+09
0.000271108 2.01041e+09
0.000273349 1.9684e+09
0.000275546 1.92417e+09
0.000277706 1.897e+09
0.000280204 1.85513e+09
0.000282696 1.84057e+09
0.000284955 1.80588e+09
0.000287036 1.76691e+09
0.000289296 1.74216e+09
0.000291909 1.72284e+09
0.000294404 1.69892e+09
0.000296654 1.68161e+09
0.000299082 1.66541e+09
0.000301403 1.63312e+09
0.000303861 1.60644e+09
0.000306413 1.5845e+09
0.000308749 1.55924e+09
0.000311525 1.53902e+09
0.000313955 1.52045e+09
0.000316471 1.49698e+09
0.000319321 1.47956e+09
0.000322008 1.44442e+09
0.000324666 1.42169e+09
0.00032719 1.39482e+09
0.000329929 1.3777e+09
0.000332507 1.35746e+09
0.000335216 1.33513e+09
0.000337986 1.30694e+09
0.000340927 1.27878e+09
0.000343668 1.25496e+09
0.000346605 1.23375e+09
0.000349164 1.21879e+09
0.000352165 1.18994e+09
0.000355188 1.17253e+09
0.000358008 1.1634e+09
0.000361098 1.14012e+09
0.000363971 1.12175e+09
0.00036707 1.09946e+09
0.000369977 1.09061e+09
0.000373107 1.06947e+09
0.000376085 1.05621e+09
0.000379074 1.0369e+09
0.000382228 1.01906e+09
0.00038541 1.00741e+09
0.000388542 9.90124e+08
0.000391757 9.68931e+08
0.000394981 9.57414e+08
0.000398111 9.32546e+08
0.000401474 9.18064e+08
0.000404717 9.03066e+08
0.000407935 8.89626e+08
0.000411525 8.72717e+08
0.000414686 8.64022e+08
0.000418155 8.48856e+08
0.00042175 8.34142e+08
0.000425291 8.1419e+08
0.000428636 8.01888e+08
0.000432208 7.89937e+08
0.0004357 7.80733e+08
0.000439332 7.66546e+08
0.000442787 7.52864e+08
0.000446449 7.41229e+08
0.000450291 7.27187e+08
0.000453801 7.19513e+08
0.000457447 7.02984e+08
0.000461323 6.92032e+08
0.000465014 6.79137e+08
0.000468866 6.68353e+08
0.000472806 6.54783e+08
0.00047678 6.45701e+08
0.000480624 6.31711e+08
0.000484555 6.24869e+08
0.000488474 6.1392e+08
0.000492396 6.01719e+08
0.000496538 5.93839e+08
0.000500678 5.83405e+08
0.000504761 5.73487e+08
0.000508767 5.63099e+08
0.000512959 5.52915e+08
0.000517253 5.44774e+08
0.000521544 5.32412e+08
0.000525774 5.26031e+08
0.000530168 5.15847e+08
0.000534431 5.05913e+08
0.00053878 4.94669e+08
0.000543223 4.88051e+08
0.000547788 4.81052e+08
0.000552163 4.71909e+08
0.000556755 4.63756e+08
0.000561463 4.5381e+08
0.000566064 4.48163e+08
0.000570587 4.4021e+08
0.000575277 4.29005e+08
0.000580056 4.23589e+08
0.000584753 4.18904e+08
0.000589576 4.09568e+08
0.000594327 4.03489e+08
0.000599226 3.95112e+08
0.000604166 3.87938e+08
0.000609275 3.81027e+08
0.000614265 3.75095e+08
0.000619191 3.69757e+08
0.000624415 3.61244e+08
0.000629458 3.55543e+08
0.00063466 3.48863e+08
0.00063975 3.43229e+08
0.00064489 3.37105e+08
0.000650271 3.31942e+08
0.000655619 3.2478e+08
0.000661178 3.18894e+08
0.000666601 3.13229e+08
0.00067198 3.07087e+08
0.000677465 3.03583e+08
0.000682952 2.9853e+08
0.000688602 2.91187e+08
0.000694365 2.87609e+08
0.000699968 2.82434e+08
0.00070566 2.75757e+08
0.000711633 2.7132e+08
0.000717351 2.66606e+08
0.000723301 2.61466e+08
0.000729237 2.57436e+08
0.00073526 2.51885e+08
0.000741287 2.47897e+08
0.000747431 2.43375e+08
0.000753573 2.39883e+08
0.000759705 2.35443e+08
0.000765936 2.30404e+08
0.000772341 2.27e+08
0.000778615 2.22687e+08
0.000785031 2.18867e+08
0.000791493 2.13536e+08
0.000797999 2.10629e+08
0.000804499 2.06284e+08
0.000811074 2.03188e+08
0.000817707 1.9908e+08
0.000824546 1.95323e+08
0.000831271 1.91639e+08
0.000838002 1.88032e+08
0.000844949 1.84898e+08
0.000851929 1.82294e+08
0.000858954 1.77865e+08
0.000865919 1.75237e+08
0.000873072 1.71719e+08
0.000880195 1.68842e+08
0.000887393 1.6504e+08
0.000894783 1.62563e+08
0.000902097 1.59129e+08
0.00090951 1.56616e+08
0.000916929 1.5374e+08
0.000924423 1.50407e+08
0.00093206 1.477e+08
0.000939669 1.4493e+08
0.000947384 1.42439e+08
0.000955222 1.40153e+08
0.000963012 1.37536e+08
0.00097096 1.34815e+08
0.000978975 1.32432e+08
0.000986946 1.29211e+08
0.000995044 1.27353e+08
0.00100317 1.24979e+08
0.00101134 1.22845e+08
0.00101966 1.20876e+08
0.00102811 1.18014e+08
0.0010366 1.1581e+08
0.00104515 1.13588e+08
0.00105367 1.11621e+08
0.0010623 1.08846e+08
0.00107099 1.07562e+08
0.00107984 1.05304e+08
0.00108877 1.03599e+08
0.00109754 1.01584e+08
0.00110658 9.98035e+07
0.00111585 9.76944e+07
0.001125 9.57162e+07
0.00113422 9.41141e+07
0.00114355 9.2082e+07
0.00115284 9.01242e+07
0.0011623 8.87675e+07
0.00117183 8.70499e+07
0.00118147 8.53061e+07
0.00119124 8.39355e+07
0.00120099 8.27516e+07
0.00121082 8.09462e+07
0.00122077 7.92214e+07
0.00123083 7.77108e+07
0.00124092 7.62427e+07
0.00125109 7.45896e+07
0.00126141 7.30798e+07
0.00127177 7.21432e+07
0.00128216 7.06693e+07
0.00129272 6.92743e+07
0.00130337 6.78522e+07
0.00131407 6.66294e+07
0.00132486 6.52934e+07
0.00133574 6.40006e+07
0.00134668 6.29947e+07
0.0013577 6.16377e+07
0.0013688 6.04432e+07
0.00138009 5.94454e+07
0.00139144 5.79332e+07
0.00140285 5.6973e+07
0.00141438 5.59758e+07
0.0014259 5.49103e+07
0.00143763 5.3816e+07
0.00144946 5.30108e+07
0.00146138 5.1923e+07
0.00147343 5.07241e+07
0.00148553 4.97626e+07
0.00149773 4.87667e+07
0.00150998 4.79426e+07
0.00152238 4.69419e+07
0.00153493 4.60739e+07
0.00154754 4.52821e+07
0.0015602 4.43655e+07
0.00157297 4.35241e+07
0.00158593 4.25231e+07
0.00159901 4.17246e+07
0.00161212 4.09011e+07
0.00162533 4.01951e+07
0.00163867 3.92598e+07
0.00165213 3.86927e+07
0.00166568 3.78856e+07
0.00167936 3.71063e+07
0.00169314 3.64242e+07
0.00170706 3.56804e+07
0.00172108 3.50265e+07
0.00173519 3.43597e+07
0.00174947 3.36092e+07
0.00176388 3.30174e+07
0.00177833 3.2399e+07
0.00179289 3.17228e+07
0.00180762 3.11068e+07
0.0018225 3.04958e+07
0.00183749 2.99258e+07
0.00185259 2.93072e+07
0.00186776 2.86807e+07
0.00188308 2.81621e+07
0.00189858 2.7636e+07
0.00191415 2.71168e+07
0.00192986 2.6555e+07
0.00194568 2.60664e+07
0.00196164 2.55496e+07
0.00197781 2.50665e+07
0.00199407 2.45657e+07
0.00201041 2.41104e+07
0.0020269 2.3672e+07
0.00204357 2.31301e+07
0.00206031 2.27442e+07
0.00207723 2.22592e+07
0.00209433 2.18685e+07
0.00211151 2.14055e+07
0.00212883 2.0979e+07
0.00214631 2.05964e+07
0.00216395 2.01757e+07
0.00218171 1.98049e+07
0.00219964 1.94502e+07
0.0022177 1.9081e+07
0.00223591 1.86741e+07
0.00225426 1.83165e+07
0.00227273 1.79434e+07
0.00229144 1.7647e+07
0.00231024 1.73322e+07
0.00232919 1.69702e+07
0.00234835 1.66566e+07
0.00236765 1.63512e+07
0.00238708 1.59994e+07
0.00240668 1.57119e+07
0.00242645 1.54416e+07
0.00244635 1.51028e+07
0.00246642 1.48061e+07
0.00248668 1.45667e+07
0.00250712 1.42834e+07
0.0025277 1.40599e+07
0.00254846 1.37793e+07
0.00256938 1.34972e+07
0.00259045 1.32412e+07
0.00261172 1.30351e+07
0.00263319 1.27702e+07
0.00265482 1.25226e+07
0.0026766 1.23208e+07
0.00269857 1.21179e+07
0.00272074 1.18815e+07
0.00274311 1.16723e+07
0.00276562 1.14603e+07
0.00278831 1.12578e+07
0.00281122 1.1048e+07
0.00283428 1.08576e+07
0.00285753 1.06403e+07
0.00288102 1.04983e+07
0.00290469 1.03106e+07
0.00292852 1.01128e+07
0.00295255 9.9418e+06
0.00297682 9.7459e+06
0.00300132 9.58265e+06
0.00302595 9.43531e+06
0.00305077 9.24217e+06
0.00307582 9.06452e+06
0.00310109 8.91561e+06
0.00312652 8.75653e+06
0.00315219 8.57936e+06
0.00317808 8.43253e+06
0.00320418 8.26159e+06
0.00323049 8.1175e+06
0.003257 7.9786e+06
0.00328375 7.81871e+06
0.00331073 7.67083e+06
0.00333793 7.52671e+06
0.00336532 7.39349e+06
0.00339295 7.26374e+06
0.00342081 7.13115e+06
0.0034489 6.98554e+06
0.00347724 6.86299e+06
0.00350579 6.7344e+06
0.00353457 6.6198e+06
0.00356356 6.50408e+06
0.0035928 6.36747e+06
0.0036223 6.26294e+06
0.00365206 6.15207e+06
0.00368208 6.03497e+06
0.00371232 5.92129e+06
0.0037428 5.81841e+06
0.00377353 5.72043e+06
0.00380451 5.60931e+06
0.00383574 5.50683e+06
0.00386724 5.40575e+06
0.00389899 5.30774e+06
0.003931 5.21852e+06
0.0039633 5.11593e+06
0.00399584 5.02016e+06
0.00402865 4.93901e+06
0.00406173 4.85511e+06
0.00409507 4.76662e+06
0.00412871 4.67835e+06
0.00416262 4.59908e+06
0.0041968 4.51515e+06
0.00423127 4.42528e+06
0.004266 4.35211e+06
0.00430101 4.27859e+06
0.00433633 4.20893e+06
0.00437195 4.12915e+06
0.00440786 4.05684e+06
0.00444405 3.98807e+06
0.00448053 3.91861e+06
0.00451731 3.85458e+06
0.0045544 3.78569e+06
0.00459181 3.72501e+06
0.00462953 3.66882e+06
0.00466752 3.61235e+06
0.00470583 3.54623e+06
0.00474448 3.49278e+06
0.00478347 3.43667e+06
0.00482275 3.38632e+06
0.00486234 3.33471e+06
0.00490225 3.2815e+06
0.0049425 3.24171e+06
0.0049831 3.19334e+06
0.00502401 3.14912e+06
0.00506526 3.10737e+06
0.00510687 3.06764e+06
0.00514879 3.03186e+06
0.00519107 2.99395e+06
0.0052337 2.96066e+06
0.00527667 2.92914e+06
0.00532001 2.89653e+06
0.00536367 2.87236e+06
0.00540771 2.84613e+06
0.00545214 2.82234e+06
0.0054969 2.80015e+06
0.00554203 2.78363e+06
0.00558753 2.76727e+06
0.00563342 2.75555e+06
0.00567967 2.74376e+06
0.00572631 2.73901e+06
0.00577334 2.7346e+06
0.00582073 2.73123e+06
0.00586853 2.73104e+06
0.00591672 2.738e+06
0.0059653 2.74641e+06
0.00601426 2.75742e+06
0.00606365 2.77643e+06
0.00611346 2.80151e+06
0.00616366 2.82478e+06
0.00621427 2.85633e+06
0.00626529 2.89593e+06
0.00631673 2.93474e+06
0.00636859 2.98285e+06
0.00642088 3.04577e+06
0.00647362 3.10335e+06
0.00652677 3.17525e+06
0.00658036 3.26183e+06
0.0066344 3.34829e+06
0.00668886 3.45135e+06
0.00674379 3.56508e+06
0.00679918 3.6938e+06
0.00685501 3.83263e+06
0.00691131 3.99602e+06
0.00696806 4.16906e+06
0.00702526 4.3688e+06
0.00708294 4.58977e+06
0.00714111 4.83882e+06
0.00719973 5.11399e+06
0.00725885 5.42516e+06
0.00731846 5.77869e+06
0.00737856 6.16373e+06
0.00743915 6.60703e+06
0.00750022 7.10848e+06
0.0075618 7.6736e+06
0.0076239 8.32173e+06
0.00768649 9.03129e+06
0.00774961 9.88352e+06
0.00781325 1.08814e+07
0.00787742 1.19478e+07
0.0079421 1.31934e+07
0.0080073 1.4646e+07
0.00807306 1.64315e+07
0.00813935 1.82581e+07
0.00820618 2.0779e+07
0.00827356 2.32867e+07
0.0083415 2.68025e+07
0.00840998 3.03215e+07
0.00847904 3.5121e+07
0.00854867 4.07958e+07
0.00861886 4.71273e+07
0.00868963 5.48516e+07
0.00876099 6.57179e+07
0.00883292 7.76336e+07
0.00890544 9.25858e+07
0.00897858 1.11725e+08
0.00905231 1.33698e+08
0.00912663 1.61738e+08
0.00920156 1.94692e+08
0.00927713 2.40852e+08
0.0093533 2.99099e+08
0.0094301 3.37117e+08
0.00950753 3.63359e+08
0.0095856 4.07584e+08
0.00966431 3.47928e+08
0.00974367 3.23772e+08
0.00982367 2.66408e+08
0.00990433 2.37149e+08
0.00998566 1.91964e+08
0.0100677 1.70535e+08
0.0101503 1.43878e+08
0.0102337 1.22307e+08
0.0103177 1.06068e+08
0.0104024 9.33872e+07
0.0104878 8.32391e+07
0.010574 7.53026e+07
0.0106608 6.90512e+07
0.0107483 6.44594e+07
0.0108366 6.13832e+07
0.0109256 5.97511e+07
0.0110152 5.78778e+07
0.0111055 1.92346e+07
0.0111967 7.00857e+06
0.0112886 4.78491e+06
0.0113813 4.31849e+06
0.0114748 4.41574e+06
0.011569 4.7778e+06
0.011664 5.32928e+06
0.0117598 6.06719e+06
0.0118563 7.00749e+06
0.0119537 8.21207e+06
0.0120518 9.70477e+06
0.0121508 1.15643e+07
0.0122505 1.40305e+07
0.0123511 1.70431e+07
0.0124525 2.09198e+07
0.0125548 2.59565e+07
0.0126579 3.23337e+07
0.0127618 4.03993e+07
0.0128666 5.06634e+07
0.0129722 6.35699e+07
0.0130787 8.04027e+07
0.0131861 9.82215e+07
0.0132944 1.2169e+08
0.0134035 1.42895e+08
0.0135136 1.68624e+08
0.0136245 1.87314e+08
0.0137363 2.02657e+08
0.0138491 2.13806e+08
0.0139628 2.21033e+08
0.0140774 2.24858e+08
0.014193 2.30984e+08
0.0143095 2.32925e+08
0.014427 2.37215e+08
0.0145454 2.40233e+08
0.0146648 2.44256e+08
0.0147852 2.46323e+08
0.0149065 2.43833e+08
0.0150288 2.3562e+08
0.0151522 2.19834e+08
0.0152765 1.92755e+08
0.0154018 1.54879e+08
0.0155281 9.71968e+07
0.0156556 3.91227e+07
0.0157843 3.73426e+07
0.0159139 4.869e+07
0.0160445 6.52822e+07
0.0161763 8.87729e+07
0.0163091 1.19717e+08
0.0164429 1.60245e+08
0.0165779 2.12009e+08
0.0167139 2.76431e+08
0.0168511 3.58316e+08
0.0169894 4.55466e+08
0.0171288 5.78665e+08
0.0172693 7.29153e+08
0.0174109 9.19648e+08
0.0175537 1.15806e+09
0.0176976 1.47117e+09
0.0178426 1.85429e+09
0.0179887 2.34492e+09
0.018136 2.92445e+09
0.0182842 3.61176e+09
0.0184332 4.38132e+09
0.0185832 5.22714e+09
0.0187336 6.08675e+09
0.0188802 6.90839e+09
0.0190113 7.65964e+09
0.0191299 2.28506e+10