# k P_nu(k)
# a = 0.787941
# nbins = 695
1.22718e-05 1.8629e+13
1.7355e-05 1.97184e+13
2.12555e-05 1.91881e+13
2.45437e-05 1.74395e+13
2.74407e-05 1.61626e+13
3.00598e-05 1.52402e+13
3.471e-05 1.45789e+13
3.68155e-05 1.25482e+13
3.8807e-05 1.08255e+13
4.07011e-05 1.14751e+13
4.25109e-05 1.04184e+13
4.42468e-05 1.08184e+13
4.5917e-05 9.41602e+12
4.90874e-05 1.06996e+13
5.05981e-05 9.61966e+12
5.2065e-05 1.04064e+13
5.34917e-05 8.65461e+12
5.48814e-05 9.05491e+12
5.62367e-05 9.13047e+12
5.75601e-05 1.00085e+13
6.01195e-05 7.90915e+12
6.13592e-05 8.74872e+12
6.25744e-05 7.96399e+12
6.37664e-05 7.96983e+12
6.60859e-05 8.04722e+12
6.72157e-05 7.81284e+12
6.942e-05 9.33952e+12
7.04964e-05 7.88119e+12
7.15565e-05 6.30741e+12
7.26012e-05 7.98721e+12
7.36311e-05 7.31678e+12
7.46467e-05 5.52009e+12
7.56487e-05 7.19332e+12
7.7614e-05 5.68607e+12
7.85782e-05 6.47067e+12
7.95307e-05 5.65808e+12
8.04719e-05 4.88032e+12
8.14022e-05 5.99391e+12
8.2322e-05 4.84723e+12
8.32317e-05 5.42318e+12
8.50218e-05 4.82257e+12
8.59029e-05 5.46658e+12
8.67751e-05 5.13188e+12
8.76385e-05 4.68639e+12
8.84935e-05 6.83819e+12
8.93404e-05 5.70261e+12
9.01793e-05 5.05766e+12
9.18341e-05 5.50838e+12
9.26504e-05 4.23161e+12
9.34596e-05 5.02519e+12
9.42618e-05 4.20791e+12
9.58462e-05 4.32396e+12
9.66286e-05 4.11861e+12
9.81748e-05 4.16962e+12
9.89388e-05 4.61765e+12
9.9697e-05 4.12038e+12
0.000100947 3.32951e+12
0.000101938 4.62268e+12
0.000102674 4.36635e+12
0.00010413 4.65976e+12
0.000104851 4.45896e+12
0.000105793 3.88113e+12
0.000106983 3.5365e+12
0.000107685 4.38335e+12
0.000108382 4.60302e+12
0.000109763 3.37344e+12
0.000110447 4.04554e+12
0.000111126 3.29918e+12
0.00011207 3.89511e+12
0.000113141 3.24597e+12
0.000113804 3.92466e+12
0.00011512 3.27263e+12
0.000115772 3.75535e+12
0.000116605 3.63117e+12
0.000118768 3.56893e+12
0.000120655 3.95536e+12
0.000121732 3.39886e+12
0.000122718 3.67204e+12
0.000123466 3.50106e+12
0.000125149 2.84705e+12
0.000125749 3.60092e+12
0.000126644 3.50323e+12
0.000127941 3.3242e+12
0.000128708 3.95599e+12
0.000130739 2.85044e+12
0.000131943 3.15645e+12
0.000132953 3.60695e+12
0.000134431 3.35265e+12
0.000135328 3.26876e+12
0.000136101 2.54873e+12
0.000137477 2.81215e+12
0.00013884 1.97237e+12
0.000139516 3.11352e+12
0.000140611 2.95672e+12
0.000141939 2.87648e+12
0.000143463 2.37995e+12
0.000144385 2.98142e+12
0.000145548 2.63643e+12
0.000146631 2.36856e+12
0.000148112 2.6752e+12
0.00014952 2.50445e+12
0.000150299 2.3687e+12
0.000151832 2.17946e+12
0.000152783 2.53436e+12
0.000154045 2.63575e+12
0.000155658 2.15989e+12
0.00015665 2.35516e+12
0.0001579 2.06248e+12
0.000159354 2.33549e+12
0.000160279 2.60079e+12
0.000161626 2.29016e+12
0.000163463 2.4211e+12
0.000164644 2.39918e+12
0.000165783 2.16301e+12
0.000167197 2.318e+12
0.000168799 2.19284e+12
0.000170423 2.46178e+12
0.000171157 2.10051e+12
0.000172744 2.00416e+12
0.000174349 1.98177e+12
0.00017592 1.9631e+12
0.000177497 1.89023e+12
0.000178723 2.04926e+12
0.000180282 2.07987e+12
0.000181376 2.06211e+12
0.000182743 1.84247e+12
0.000184551 1.98012e+12
0.000185977 1.95664e+12
0.000187589 1.84673e+12
0.000188953 1.82373e+12
0.000190863 1.92917e+12
0.000192158 1.86275e+12
0.000193916 1.91285e+12
0.000195504 1.79005e+12
0.000197181 1.92109e+12
0.000198613 1.66409e+12
0.000200148 1.73479e+12
0.000201721 1.62554e+12
0.000203587 1.79702e+12
0.00020541 1.61961e+12
0.000207172 1.65591e+12
0.000208922 1.88803e+12
0.000210371 1.75175e+12
0.000212078 1.60348e+12
0.000214191 1.45673e+12
0.000215596 1.63313e+12
0.00021743 1.39418e+12
0.000219259 1.5192e+12
0.000221084 1.44122e+12
0.00022283 1.33181e+12
0.000224493 1.41445e+12
0.000226376 1.40948e+12
0.000228421 1.35445e+12
0.000230288 1.42364e+12
0.000231928 1.28267e+12
0.00023399 1.30791e+12
0.000236053 1.19147e+12
0.000237805 1.32883e+12
0.000239779 1.22086e+12
0.000241744 1.30999e+12
0.000243673 1.17033e+12
0.000245757 1.23628e+12
0.000247871 1.24195e+12
0.00024984 1.24419e+12
0.000251597 1.19756e+12
0.000253565 1.22202e+12
0.000256 1.30622e+12
0.000258364 1.17403e+12
0.000260499 1.29015e+12
0.000262417 1.27303e+12
0.000264367 1.15885e+12
0.000266592 1.05883e+12
0.000268987 1.04591e+12
0.000271108 1.141e+12
0.000273349 1.07656e+12
0.000275546 1.12446e+12
0.000277706 1.01587e+12
0.000280204 1.02553e+12
0.000282696 1.10897e+12
0.000284955 1.12546e+12
0.000287036 1.03471e+12
0.000289296 1.01646e+12
0.000291909 9.94687e+11
0.000294404 9.801e+11
0.000296654 1.02642e+12
0.000299082 1.05548e+12
0.000301403 1.04151e+12
0.000303861 9.67909e+11
0.000306413 9.0278e+11
0.000308749 9.39933e+11
0.000311525 9.73623e+11
0.000313955 9.05836e+11
0.000316471 9.29162e+11
0.000319321 9.48144e+11
0.000322008 8.59312e+11
0.000324666 8.65255e+11
0.00032719 8.57111e+11
0.000329929 8.7321e+11
0.000332507 8.35401e+11
0.000335216 8.6147e+11
0.000337986 8.31179e+11
0.000340927 8.38913e+11
0.000343668 8.13505e+11
0.000346605 8.24417e+11
0.000349164 7.88943e+11
0.000352165 7.94599e+11
0.000355188 7.81177e+11
0.000358008 7.69843e+11
0.000361098 7.44017e+11
0.000363971 7.65262e+11
0.00036707 7.63438e+11
0.000369977 7.28902e+11
0.000373107 7.25926e+11
0.000376085 7.91516e+11
0.000379074 7.19752e+11
0.000382228 7.38196e+11
0.00038541 7.26143e+11
0.000388542 7.27542e+11
0.000391757 6.78726e+11
0.000394981 6.87999e+11
0.000398111 6.92317e+11
0.000401474 6.88022e+11
0.000404717 6.84904e+11
0.000407935 6.74967e+11
0.000411525 6.57202e+11
0.000414686 6.26191e+11
0.000418155 6.4287e+11
0.00042175 6.26475e+11
0.000425291 6.17724e+11
0.000428636 6.13073e+11
0.000432208 5.97346e+11
0.0004357 6.09456e+11
0.000439332 6.04995e+11
0.000442787 5.98743e+11
0.000446449 6.10602e+11
0.000450291 5.78443e+11
0.000453801 6.0316e+11
0.000457447 5.74734e+11
0.000461323 5.77599e+11
0.000465014 5.60182e+11
0.000468866 5.58173e+11
0.000472806 5.68296e+11
0.00047678 5.62625e+11
0.000480624 5.49965e+11
0.000484555 5.52744e+11
0.000488474 5.58223e+11
0.000492396 5.29011e+11
0.000496538 5.325e+11
0.000500678 5.28104e+11
0.000504761 5.26804e+11
0.000508767 4.98776e+11
0.000512959 5.04874e+11
0.000517253 4.96115e+11
0.000521544 4.99684e+11
0.000525774 4.94924e+11
0.000530168 4.92013e+11
0.000534431 4.95556e+11
0.00053878 4.91075e+11
0.000543223 4.83308e+11
0.000547788 4.83615e+11
0.000552163 4.74446e+11
0.000556755 4.65008e+11
0.000561463 4.67973e+11
0.000566064 4.54896e+11
0.000570587 4.51659e+11
0.000575277 4.44966e+11
0.000580056 4.52985e+11
0.000584753 4.41835e+11
0.000589576 4.3809e+11
0.000594327 4.44634e+11
0.000599226 4.43879e+11
0.000604166 4.24628e+11
0.000609275 4.29993e+11
0.000614265 4.17968e+11
0.000619191 4.18771e+11
0.000624415 4.18775e+11
0.000629458 4.11684e+11
0.00063466 4.16914e+11
0.00063975 4.02185e+11
0.00064489 3.96606e+11
0.000650271 4.06049e+11
0.000655619 3.99075e+11
0.000661178 3.87289e+11
0.000666601 3.81926e+11
0.00067198 3.9067e+11
0.000677465 3.80805e+11
0.000682952 3.75681e+11
0.000688602 3.76912e+11
0.000694365 3.68076e+11
0.000699968 3.63981e+11
0.00070566 3.64848e+11
0.000711633 3.65594e+11
0.000717351 3.62237e+11
0.000723301 3.60707e+11
0.000729237 3.46885e+11
0.00073526 3.44789e+11
0.000741287 3.46664e+11
0.000747431 3.42013e+11
0.000753573 3.42218e+11
0.000759705 3.38707e+11
0.000765936 3.37367e+11
0.000772341 3.35488e+11
0.000778615 3.34327e+11
0.000785031 3.27567e+11
0.000791493 3.24405e+11
0.000797999 3.18145e+11
0.000804499 3.24119e+11
0.000811074 3.20968e+11
0.000817707 3.17431e+11
0.000824546 3.14923e+11
0.000831271 3.1232e+11
0.000838002 3.09782e+11
0.000844949 3.00524e+11
0.000851929 3.0541e+11
0.000858954 2.98395e+11
0.000865919 2.99957e+11
0.000873072 2.97859e+11
0.000880195 2.97072e+11
0.000887393 2.88715e+11
0.000894783 2.86817e+11
0.000902097 2.88223e+11
0.00090951 2.8043e+11
0.000916929 2.86083e+11
0.000924423 2.80564e+11
0.00093206 2.79889e+11
0.000939669 2.75452e+11
0.000947384 2.73206e+11
0.000955222 2.70446e+11
0.000963012 2.70462e+11
0.00097096 2.67476e+11
0.000978975 2.62311e+11
0.000986946 2.62481e+11
0.000995044 2.59705e+11
0.00100317 2.58956e+11
0.00101134 2.55022e+11
0.00101966 2.55289e+11
0.00102811 2.52502e+11
0.0010366 2.48583e+11
0.00104515 2.48588e+11
0.00105367 2.44003e+11
0.0010623 2.442e+11
0.00107099 2.42184e+11
0.00107984 2.39805e+11
0.00108877 2.37934e+11
0.00109754 2.35793e+11
0.00110658 2.34583e+11
0.00111585 2.29457e+11
0.001125 2.30515e+11
0.00113422 2.28118e+11
0.00114355 2.27433e+11
0.00115284 2.24097e+11
0.0011623 2.22476e+11
0.00117183 2.20371e+11
0.00118147 2.20175e+11
0.00119124 2.17191e+11
0.00120099 2.15161e+11
0.00121082 2.12295e+11
0.00122077 2.11506e+11
0.00123083 2.0992e+11
0.00124092 2.07685e+11
0.00125109 2.05803e+11
0.00126141 2.03088e+11
0.00127177 2.03261e+11
0.00128216 2.011e+11
0.00129272 1.98985e+11
0.00130337 1.97146e+11
0.00131407 1.95752e+11
0.00132486 1.94208e+11
0.00133574 1.9272e+11
0.00134668 1.90584e+11
0.0013577 1.87742e+11
0.0013688 1.8717e+11
0.00138009 1.86507e+11
0.00139144 1.83909e+11
0.00140285 1.82985e+11
0.00141438 1.79864e+11
0.0014259 1.7748e+11
0.00143763 1.76406e+11
0.00144946 1.7595e+11
0.00146138 1.73416e+11
0.00147343 1.7288e+11
0.00148553 1.70366e+11
0.00149773 1.67915e+11
0.00150998 1.67667e+11
0.00152238 1.65475e+11
0.00153493 1.63859e+11
0.00154754 1.62279e+11
0.0015602 1.61435e+11
0.00157297 1.59239e+11
0.00158593 1.56653e+11
0.00159901 1.56281e+11
0.00161212 1.54244e+11
0.00162533 1.53553e+11
0.00163867 1.51548e+11
0.00165213 1.49753e+11
0.00166568 1.48688e+11
0.00167936 1.46836e+11
0.00169314 1.45051e+11
0.00170706 1.43493e+11
0.00172108 1.42335e+11
0.00173519 1.40401e+11
0.00174947 1.39637e+11
0.00176388 1.38235e+11
0.00177833 1.36332e+11
0.00179289 1.3526e+11
0.00180762 1.33885e+11
0.0018225 1.32492e+11
0.00183749 1.30966e+11
0.00185259 1.29118e+11
0.00186776 1.27541e+11
0.00188308 1.26898e+11
0.00189858 1.25166e+11
0.00191415 1.24942e+11
0.00192986 1.22604e+11
0.00194568 1.21136e+11
0.00196164 1.19966e+11
0.00197781 1.1852e+11
0.00199407 1.17407e+11
0.00201041 1.16002e+11
0.0020269 1.15059e+11
0.00204357 1.13598e+11
0.00206031 1.12063e+11
0.00207723 1.10829e+11
0.00209433 1.09733e+11
0.00211151 1.08639e+11
0.00212883 1.07168e+11
0.00214631 1.05767e+11
0.00216395 1.04392e+11
0.00218171 1.03264e+11
0.00219964 1.0225e+11
0.0022177 1.01027e+11
0.00223591 9.99165e+10
0.00225426 9.87893e+10
0.00227273 9.73989e+10
0.00229144 9.64064e+10
0.00231024 9.53404e+10
0.00232919 9.40779e+10
0.00234835 9.28536e+10
0.00236765 9.17421e+10
0.00238708 9.06033e+10
0.00240668 8.96386e+10
0.00242645 8.84537e+10
0.00244635 8.73325e+10
0.00246642 8.63726e+10
0.00248668 8.53044e+10
0.00250712 8.38792e+10
0.0025277 8.29153e+10
0.00254846 8.20958e+10
0.00256938 8.11372e+10
0.00259045 7.9957e+10
0.00261172 7.89886e+10
0.00263319 7.79078e+10
0.00265482 7.69894e+10
0.0026766 7.61323e+10
0.00269857 7.52038e+10
0.00272074 7.40453e+10
0.00274311 7.33011e+10
0.00276562 7.21993e+10
0.00278831 7.13273e+10
0.00281122 7.04938e+10
0.00283428 6.95636e+10
0.00285753 6.84521e+10
0.00288102 6.7721e+10
0.00290469 6.67623e+10
0.00292852 6.59701e+10
0.00295255 6.50037e+10
0.00297682 6.42555e+10
0.00300132 6.33082e+10
0.00302595 6.2363e+10
0.00305077 6.1651e+10
0.00307582 6.08267e+10
0.00310109 5.99685e+10
0.00312652 5.91289e+10
0.00315219 5.83069e+10
0.00317808 5.76361e+10
0.00320418 5.67414e+10
0.00323049 5.59651e+10
0.003257 5.529e+10
0.00328375 5.4445e+10
0.00331073 5.38394e+10
0.00333793 5.29988e+10
0.00336532 5.2262e+10
0.00339295 5.15597e+10
0.00342081 5.08943e+10
0.0034489 5.00468e+10
0.00347724 4.95319e+10
0.00350579 4.86903e+10
0.00353457 4.80759e+10
0.00356356 4.74257e+10
0.0035928 4.6721e+10
0.0036223 4.61045e+10
0.00365206 4.5366e+10
0.00368208 4.48357e+10
0.00371232 4.41268e+10
0.0037428 4.3562e+10
0.00377353 4.2912e+10
0.00380451 4.23463e+10
0.00383574 4.1751e+10
0.00386724 4.11481e+10
0.00389899 4.06154e+10
0.003931 3.99334e+10
0.0039633 3.93752e+10
0.00399584 3.88651e+10
0.00402865 3.82527e+10
0.00406173 3.774e+10
0.00409507 3.71734e+10
0.00412871 3.66612e+10
0.00416262 3.61442e+10
0.0041968 3.56335e+10
0.00423127 3.51213e+10
0.004266 3.45824e+10
0.00430101 3.40939e+10
0.00433633 3.36345e+10
0.00437195 3.31123e+10
0.00440786 3.25683e+10
0.00444405 3.21118e+10
0.00448053 3.16281e+10
0.00451731 3.12103e+10
0.0045544 3.07269e+10
0.00459181 3.02683e+10
0.00462953 2.9831e+10
0.00466752 2.93873e+10
0.00470583 2.89398e+10
0.00474448 2.85134e+10
0.00478347 2.80688e+10
0.00482275 2.76649e+10
0.00486234 2.72422e+10
0.00490225 2.6852e+10
0.0049425 2.64439e+10
0.0049831 2.60514e+10
0.00502401 2.56384e+10
0.00506526 2.52404e+10
0.00510687 2.4893e+10
0.00514879 2.44804e+10
0.00519107 2.41221e+10
0.0052337 2.3784e+10
0.00527667 2.34091e+10
0.00532001 2.30624e+10
0.00536367 2.2709e+10
0.00540771 2.23653e+10
0.00545214 2.20537e+10
0.0054969 2.16986e+10
0.00554203 2.13502e+10
0.00558753 2.10339e+10
0.00563342 2.06993e+10
0.00567967 2.03753e+10
0.00572631 2.0076e+10
0.00577334 1.9776e+10
0.00582073 1.94559e+10
0.00586853 1.91655e+10
0.00591672 1.88814e+10
0.0059653 1.8565e+10
0.00601426 1.8299e+10
0.00606365 1.8005e+10
0.00611346 1.77392e+10
0.00616366 1.7456e+10
0.00621427 1.72003e+10
0.00626529 1.69332e+10
0.00631673 1.66769e+10
0.00636859 1.64023e+10
0.00642088 1.61563e+10
0.00647362 1.58967e+10
0.00652677 1.56413e+10
0.00658036 1.54041e+10
0.0066344 1.51629e+10
0.00668886 1.49219e+10
0.00674379 1.47042e+10
0.00679918 1.44788e+10
0.00685501 1.42359e+10
0.00691131 1.4022e+10
0.00696806 1.38024e+10
0.00702526 1.359e+10
0.00708294 1.33745e+10
0.00714111 1.31589e+10
0.00719973 1.29566e+10
0.00725885 1.27572e+10
0.00731846 1.2562e+10
0.00737856 1.2363e+10
0.00743915 1.21637e+10
0.00750022 1.19716e+10
0.0075618 1.17893e+10
0.0076239 1.16098e+10
0.00768649 1.14288e+10
0.00774961 1.12534e+10
0.00781325 1.10719e+10
0.00787742 1.08973e+10
0.0079421 1.07373e+10
0.0080073 1.05731e+10
0.00807306 1.04063e+10
0.00813935 1.02431e+10
0.00820618 1.0089e+10
0.00827356 9.93778e+09
0.0083415 9.78775e+09
0.00840998 9.63962e+09
0.00847904 9.49443e+09
0.00854867 9.3548e+09
0.00861886 9.21296e+09
0.00868963 9.08123e+09
0.00876099 8.94731e+09
0.00883292 8.81904e+09
0.00890544 8.68821e+09
0.00897858 8.56947e+09
0.00905231 8.44707e+09
0.00912663 8.33462e+09
0.00920156 8.21698e+09
0.00927713 8.11049e+09
0.0093533 8.00359e+09
0.0094301 7.89733e+09
0.00950753 7.80211e+09
0.0095856 7.70419e+09
0.00966431 7.61208e+09
0.00974367 7.52357e+09
0.00982367 7.4429e+09
0.00990433 7.36435e+09
0.00998566 7.2912e+09
0.0100677 7.21898e+09
0.0101503 7.15407e+09
0.0102337 7.09326e+09
0.0103177 7.04249e+09
0.0104024 6.99553e+09
0.0104878 6.94952e+09
0.010574 6.91556e+09
0.0106608 6.882e+09
0.0107483 6.86262e+09
0.0108366 6.85032e+09
0.0109256 6.84351e+09
0.0110152 6.84563e+09
0.0111055 6.78963e+09
0.0111967 6.70313e+09
0.0112886 6.62241e+09
0.0113813 6.53857e+09
0.0114748 6.46194e+09
0.011569 6.38411e+09
0.011664 6.31002e+09
0.0117598 6.23707e+09
0.0118563 6.17024e+09
0.0119537 6.10116e+09
0.0120518 6.03673e+09
0.0121508 5.97525e+09
0.0122505 5.91533e+09
0.0123511 5.85654e+09
0.0124525 5.80333e+09
0.0125548 5.75317e+09
0.0126579 5.70419e+09
0.0127618 5.65881e+09
0.0128666 5.6201e+09
0.0129722 5.58062e+09
0.0130787 5.54429e+09
0.0131861 5.51221e+09
0.0132944 5.48498e+09
0.0134035 5.46227e+09
0.0135136 5.44235e+09
0.0136245 5.42874e+09
0.0137363 5.41955e+09
0.0138491 5.41708e+09
0.0139628 5.4192e+09
0.0140774 5.42686e+09
0.014193 5.44133e+09
0.0143095 5.46477e+09
0.014427 5.48869e+09
0.0145454 5.52604e+09
0.0146648 5.56097e+09
0.0147852 5.60732e+09
0.0149065 5.6529e+09
0.0150288 5.6994e+09
0.0151522 5.74567e+09
0.0152765 5.779e+09
0.0154018 5.7897e+09
0.0155281 5.75809e+09
0.0156556 5.67828e+09
0.0157843 5.63683e+09
0.0159139 5.61769e+09
0.0160445 5.61589e+09
0.0161763 5.63409e+09
0.0163091 5.66531e+09
0.0164429 5.70602e+09
0.0165779 5.76691e+09
0.0167139 5.8418e+09
0.0168511 5.94134e+09
0.0169894 6.05613e+09
0.0171288 6.18749e+09
0.0172693 6.35215e+09
0.0174109 6.53721e+09
0.0175537 6.77615e+09
0.0176976 7.02949e+09
0.0178426 7.33836e+09
0.0179887 7.70431e+09
0.018136 8.12188e+09
0.0182842 8.60915e+09
0.0184332 9.18584e+09
0.0185832 9.84771e+09
0.0187336 1.05941e+10
0.0188802 1.15046e+10
0.0190113 1.25228e+10
0.0191299 2.01811e+10