# k P_nu(k)
# a = 0.388283
# nbins = 695
1.22718e-05 5.81572e+12
1.7355e-05 6.11691e+12
2.12555e-05 5.934e+12
2.45437e-05 5.49187e+12
2.74407e-05 5.11254e+12
3.00598e-05 4.80962e+12
3.471e-05 4.4475e+12
3.68155e-05 3.99339e+12
3.8807e-05 3.59038e+12
4.07011e-05 3.64114e+12
4.25109e-05 3.39696e+12
4.42468e-05 3.41005e+12
4.5917e-05 3.0965e+12
4.90874e-05 3.26176e+12
5.05981e-05 3.04867e+12
5.2065e-05 3.15426e+12
5.34917e-05 2.81931e+12
5.48814e-05 2.86537e+12
5.62367e-05 2.86507e+12
5.75601e-05 2.99356e+12
6.01195e-05 2.59591e+12
6.13592e-05 2.71184e+12
6.25744e-05 2.57812e+12
6.37664e-05 2.54403e+12
6.60859e-05 2.54052e+12
6.72157e-05 2.47776e+12
6.942e-05 2.7186e+12
7.04964e-05 2.44744e+12
7.15565e-05 2.15607e+12
7.26012e-05 2.43316e+12
7.36311e-05 2.26587e+12
7.46467e-05 1.96948e+12
7.56487e-05 2.26124e+12
7.7614e-05 1.93269e+12
7.85782e-05 2.06837e+12
7.95307e-05 1.88555e+12
8.04719e-05 1.71904e+12
8.14022e-05 1.89509e+12
8.2322e-05 1.71371e+12
8.32317e-05 1.78857e+12
8.50218e-05 1.72983e+12
8.59029e-05 1.73159e+12
8.67751e-05 1.66667e+12
8.76385e-05 1.57063e+12
8.84935e-05 1.95403e+12
8.93404e-05 1.73648e+12
9.01793e-05 1.58928e+12
9.18341e-05 1.65221e+12
9.26504e-05 1.4096e+12
9.34596e-05 1.50732e+12
9.42618e-05 1.37758e+12
9.58462e-05 1.39065e+12
9.66286e-05 1.36595e+12
9.81748e-05 1.39501e+12
9.89388e-05 1.40662e+12
9.9697e-05 1.31748e+12
0.000100947 1.19267e+12
0.000101938 1.37552e+12
0.000102674 1.33413e+12
0.00010413 1.36912e+12
0.000104851 1.32057e+12
0.000105793 1.23569e+12
0.000106983 1.19886e+12
0.000107685 1.30171e+12
0.000108382 1.35294e+12
0.000109763 1.07435e+12
0.000110447 1.25475e+12
0.000111126 1.0871e+12
0.00011207 1.18397e+12
0.000113141 1.0627e+12
0.000113804 1.21985e+12
0.00011512 1.09019e+12
0.000115772 1.16397e+12
0.000116605 1.12095e+12
0.000118768 1.12232e+12
0.000120655 1.20617e+12
0.000121732 1.07402e+12
0.000122718 1.05991e+12
0.000123466 1.0734e+12
0.000125149 9.77797e+11
0.000125749 1.11396e+12
0.000126644 1.08273e+12
0.000127941 1.02562e+12
0.000128708 1.16378e+12
0.000130739 9.38145e+11
0.000131943 9.95051e+11
0.000132953 1.05287e+12
0.000134431 1.00525e+12
0.000135328 1.02869e+12
0.000136101 8.5545e+11
0.000137477 9.08671e+11
0.00013884 7.1116e+11
0.000139516 9.42305e+11
0.000140611 8.97179e+11
0.000141939 8.53374e+11
0.000143463 7.64609e+11
0.000144385 9.18067e+11
0.000145548 8.21906e+11
0.000146631 7.34592e+11
0.000148112 8.30145e+11
0.00014952 7.67765e+11
0.000150299 7.82211e+11
0.000151832 6.87627e+11
0.000152783 7.93074e+11
0.000154045 7.87172e+11
0.000155658 6.86864e+11
0.00015665 7.15549e+11
0.0001579 6.45355e+11
0.000159354 6.91888e+11
0.000160279 7.37306e+11
0.000161626 6.66838e+11
0.000163463 7.10692e+11
0.000164644 6.76915e+11
0.000165783 6.71592e+11
0.000167197 6.57563e+11
0.000168799 6.5283e+11
0.000170423 6.98797e+11
0.000171157 6.18067e+11
0.000172744 6.06999e+11
0.000174349 6.09432e+11
0.00017592 5.89924e+11
0.000177497 5.79768e+11
0.000178723 6.14114e+11
0.000180282 5.96334e+11
0.000181376 6.09267e+11
0.000182743 5.62994e+11
0.000184551 5.85631e+11
0.000185977 5.83631e+11
0.000187589 5.69778e+11
0.000188953 5.25632e+11
0.000190863 5.66313e+11
0.000192158 5.63186e+11
0.000193916 5.65425e+11
0.000195504 5.21392e+11
0.000197181 5.55015e+11
0.000198613 4.99422e+11
0.000200148 4.84972e+11
0.000201721 4.80529e+11
0.000203587 5.03516e+11
0.00020541 4.77713e+11
0.000207172 4.61933e+11
0.000208922 5.01862e+11
0.000210371 4.68445e+11
0.000212078 4.55236e+11
0.000214191 4.37768e+11
0.000215596 4.67011e+11
0.00021743 4.08919e+11
0.000219259 4.10222e+11
0.000221084 4.02628e+11
0.00022283 3.89193e+11
0.000224493 4.06433e+11
0.000226376 3.76442e+11
0.000228421 3.86758e+11
0.000230288 4.02942e+11
0.000231928 3.66336e+11
0.00023399 3.66394e+11
0.000236053 3.44021e+11
0.000237805 3.76172e+11
0.000239779 3.44356e+11
0.000241744 3.75755e+11
0.000243673 3.4097e+11
0.000245757 3.56708e+11
0.000247871 3.50203e+11
0.00024984 3.44125e+11
0.000251597 3.44292e+11
0.000253565 3.39763e+11
0.000256 3.42612e+11
0.000258364 3.32415e+11
0.000260499 3.5086e+11
0.000262417 3.30276e+11
0.000264367 3.14519e+11
0.000266592 2.91554e+11
0.000268987 2.80104e+11
0.000271108 3.0928e+11
0.000273349 2.91339e+11
0.000275546 2.88644e+11
0.000277706 2.7398e+11
0.000280204 2.67152e+11
0.000282696 2.88934e+11
0.000284955 2.92659e+11
0.000287036 2.60793e+11
0.000289296 2.61405e+11
0.000291909 2.69598e+11
0.000294404 2.67449e+11
0.000296654 2.68647e+11
0.000299082 2.77973e+11
0.000301403 2.70144e+11
0.000303861 2.50474e+11
0.000306413 2.47325e+11
0.000308749 2.38051e+11
0.000311525 2.42422e+11
0.000313955 2.30304e+11
0.000316471 2.38058e+11
0.000319321 2.46344e+11
0.000322008 2.29065e+11
0.000324666 2.20481e+11
0.00032719 2.18468e+11
0.000329929 2.18649e+11
0.000332507 2.15452e+11
0.000335216 2.24353e+11
0.000337986 2.07639e+11
0.000340927 2.03919e+11
0.000343668 2.05877e+11
0.000346605 1.99906e+11
0.000349164 2.01996e+11
0.000352165 1.92995e+11
0.000355188 1.94379e+11
0.000358008 1.93831e+11
0.000361098 1.82985e+11
0.000363971 1.88479e+11
0.00036707 1.7543e+11
0.000369977 1.79555e+11
0.000373107 1.7811e+11
0.000376085 1.85618e+11
0.000379074 1.78659e+11
0.000382228 1.75862e+11
0.00038541 1.70348e+11
0.000388542 1.6807e+11
0.000391757 1.66712e+11
0.000394981 1.624e+11
0.000398111 1.55882e+11
0.000401474 1.55244e+11
0.000404717 1.54593e+11
0.000407935 1.53933e+11
0.000411525 1.56618e+11
0.000414686 1.52448e+11
0.000418155 1.50322e+11
0.00042175 1.45946e+11
0.000425291 1.43469e+11
0.000428636 1.42313e+11
0.000432208 1.37495e+11
0.0004357 1.40449e+11
0.000439332 1.3786e+11
0.000442787 1.35232e+11
0.000446449 1.35748e+11
0.000450291 1.31512e+11
0.000453801 1.36137e+11
0.000457447 1.30178e+11
0.000461323 1.26768e+11
0.000465014 1.26728e+11
0.000468866 1.23345e+11
0.000472806 1.22666e+11
0.00047678 1.20477e+11
0.000480624 1.20911e+11
0.000484555 1.18622e+11
0.000488474 1.19976e+11
0.000492396 1.13696e+11
0.000496538 1.14442e+11
0.000500678 1.12717e+11
0.000504761 1.11755e+11
0.000508767 1.09523e+11
0.000512959 1.11273e+11
0.000517253 1.05397e+11
0.000521544 1.03331e+11
0.000525774 1.04986e+11
0.000530168 1.03505e+11
0.000534431 1.00619e+11
0.00053878 1.02101e+11
0.000543223 9.92644e+10
0.000547788 9.9492e+10
0.000552163 9.76812e+10
0.000556755 9.15358e+10
0.000561463 9.44878e+10
0.000566064 9.15726e+10
0.000570587 9.00354e+10
0.000575277 8.94309e+10
0.000580056 8.95495e+10
0.000584753 8.966e+10
0.000589576 8.862e+10
0.000594327 8.6742e+10
0.000599226 8.73626e+10
0.000604166 8.4895e+10
0.000609275 8.20931e+10
0.000614265 8.32266e+10
0.000619191 8.09099e+10
0.000624415 8.10782e+10
0.000629458 7.88771e+10
0.00063466 7.92018e+10
0.00063975 7.83357e+10
0.00064489 7.62496e+10
0.000650271 7.62644e+10
0.000655619 7.50904e+10
0.000661178 7.31302e+10
0.000666601 7.16786e+10
0.00067198 7.03131e+10
0.000677465 7.13584e+10
0.000682952 6.96564e+10
0.000688602 6.95372e+10
0.000694365 6.80713e+10
0.000699968 6.82984e+10
0.00070566 6.74209e+10
0.000711633 6.78715e+10
0.000717351 6.51191e+10
0.000723301 6.46068e+10
0.000729237 6.3746e+10
0.00073526 6.33128e+10
0.000741287 6.34065e+10
0.000747431 6.23378e+10
0.000753573 6.13856e+10
0.000759705 6.06704e+10
0.000765936 5.98228e+10
0.000772341 5.97959e+10
0.000778615 5.85619e+10
0.000785031 5.67186e+10
0.000791493 5.70198e+10
0.000797999 5.61687e+10
0.000804499 5.47329e+10
0.000811074 5.54248e+10
0.000817707 5.36845e+10
0.000824546 5.36819e+10
0.000831271 5.34935e+10
0.000838002 5.29847e+10
0.000844949 5.23542e+10
0.000851929 5.14428e+10
0.000858954 5.09425e+10
0.000865919 5.03182e+10
0.000873072 4.93325e+10
0.000880195 4.89879e+10
0.000887393 4.7695e+10
0.000894783 4.74912e+10
0.000902097 4.71165e+10
0.00090951 4.66288e+10
0.000916929 4.60964e+10
0.000924423 4.59232e+10
0.00093206 4.56991e+10
0.000939669 4.5103e+10
0.000947384 4.46344e+10
0.000955222 4.39935e+10
0.000963012 4.32503e+10
0.00097096 4.2896e+10
0.000978975 4.26819e+10
0.000986946 4.20586e+10
0.000995044 4.16528e+10
0.00100317 4.12081e+10
0.00101134 4.08097e+10
0.00101966 4.02617e+10
0.00102811 4.01517e+10
0.0010366 3.90576e+10
0.00104515 3.9148e+10
0.00105367 3.87158e+10
0.0010623 3.80611e+10
0.00107099 3.74875e+10
0.00107984 3.72267e+10
0.00108877 3.68771e+10
0.00109754 3.66295e+10
0.00110658 3.64441e+10
0.00111585 3.53876e+10
0.001125 3.53995e+10
0.00113422 3.51304e+10
0.00114355 3.51383e+10
0.00115284 3.42219e+10
0.0011623 3.39292e+10
0.00117183 3.32788e+10
0.00118147 3.3165e+10
0.00119124 3.2675e+10
0.00120099 3.25545e+10
0.00121082 3.22299e+10
0.00122077 3.21249e+10
0.00123083 3.15864e+10
0.00124092 3.11678e+10
0.00125109 3.10812e+10
0.00126141 3.05784e+10
0.00127177 3.02952e+10
0.00128216 2.99103e+10
0.00129272 2.99031e+10
0.00130337 2.92599e+10
0.00131407 2.91819e+10
0.00132486 2.88711e+10
0.00133574 2.84725e+10
0.00134668 2.80589e+10
0.0013577 2.80361e+10
0.0013688 2.7705e+10
0.00138009 2.72484e+10
0.00139144 2.73161e+10
0.00140285 2.68167e+10
0.00141438 2.66826e+10
0.0014259 2.64617e+10
0.00143763 2.61353e+10
0.00144946 2.57476e+10
0.00146138 2.56841e+10
0.00147343 2.5253e+10
0.00148553 2.50067e+10
0.00149773 2.47987e+10
0.00150998 2.4577e+10
0.00152238 2.43896e+10
0.00153493 2.41518e+10
0.00154754 2.39321e+10
0.0015602 2.35961e+10
0.00157297 2.34146e+10
0.00158593 2.3137e+10
0.00159901 2.28634e+10
0.00161212 2.27105e+10
0.00162533 2.25045e+10
0.00163867 2.21978e+10
0.00165213 2.2167e+10
0.00166568 2.18153e+10
0.00167936 2.16961e+10
0.00169314 2.15306e+10
0.00170706 2.11996e+10
0.00172108 2.10328e+10
0.00173519 2.09267e+10
0.00174947 2.0723e+10
0.00176388 2.05412e+10
0.00177833 2.02986e+10
0.00179289 2.01743e+10
0.00180762 1.99274e+10
0.0018225 1.95739e+10
0.00183749 1.95202e+10
0.00185259 1.93755e+10
0.00186776 1.91695e+10
0.00188308 1.89296e+10
0.00189858 1.8802e+10
0.00191415 1.8587e+10
0.00192986 1.84616e+10
0.00194568 1.82405e+10
0.00196164 1.7968e+10
0.00197781 1.789e+10
0.00199407 1.76968e+10
0.00201041 1.7508e+10
0.0020269 1.73484e+10
0.00204357 1.71764e+10
0.00206031 1.70613e+10
0.00207723 1.68741e+10
0.00209433 1.67577e+10
0.00211151 1.65644e+10
0.00212883 1.64232e+10
0.00214631 1.62304e+10
0.00216395 1.6117e+10
0.00218171 1.59331e+10
0.00219964 1.5806e+10
0.0022177 1.56139e+10
0.00223591 1.55182e+10
0.00225426 1.53354e+10
0.00227273 1.51825e+10
0.00229144 1.50157e+10
0.00231024 1.49078e+10
0.00232919 1.47424e+10
0.00234835 1.45992e+10
0.00236765 1.44699e+10
0.00238708 1.43587e+10
0.00240668 1.41648e+10
0.00242645 1.40833e+10
0.00244635 1.39202e+10
0.00246642 1.37899e+10
0.00248668 1.36101e+10
0.00250712 1.34616e+10
0.0025277 1.33758e+10
0.00254846 1.31962e+10
0.00256938 1.30578e+10
0.00259045 1.29567e+10
0.00261172 1.28228e+10
0.00263319 1.26768e+10
0.00265482 1.25451e+10
0.0026766 1.24555e+10
0.00269857 1.23074e+10
0.00272074 1.21479e+10
0.00274311 1.20505e+10
0.00276562 1.19292e+10
0.00278831 1.1805e+10
0.00281122 1.16849e+10
0.00283428 1.15779e+10
0.00285753 1.14467e+10
0.00288102 1.13308e+10
0.00290469 1.11813e+10
0.00292852 1.11162e+10
0.00295255 1.09857e+10
0.00297682 1.08593e+10
0.00300132 1.07456e+10
0.00302595 1.06551e+10
0.00305077 1.0529e+10
0.00307582 1.04089e+10
0.00310109 1.02916e+10
0.00312652 1.01946e+10
0.00315219 1.00734e+10
0.00317808 9.961e+09
0.00320418 9.86343e+09
0.00323049 9.73639e+09
0.003257 9.63265e+09
0.00328375 9.51539e+09
0.00331073 9.42818e+09
0.00333793 9.32033e+09
0.00336532 9.2019e+09
0.00339295 9.11088e+09
0.00342081 9.01346e+09
0.0034489 8.9057e+09
0.00347724 8.79895e+09
0.00350579 8.70244e+09
0.00353457 8.61663e+09
0.00356356 8.52214e+09
0.0035928 8.42255e+09
0.0036223 8.31111e+09
0.00365206 8.22497e+09
0.00368208 8.12356e+09
0.00371232 8.02886e+09
0.0037428 7.9575e+09
0.00377353 7.83397e+09
0.00380451 7.75253e+09
0.00383574 7.65501e+09
0.00386724 7.5708e+09
0.00389899 7.4803e+09
0.003931 7.39429e+09
0.0039633 7.31759e+09
0.00399584 7.22184e+09
0.00402865 7.13425e+09
0.00406173 7.04851e+09
0.00409507 6.95539e+09
0.00412871 6.87492e+09
0.00416262 6.78861e+09
0.0041968 6.70811e+09
0.00423127 6.62613e+09
0.004266 6.54438e+09
0.00430101 6.45503e+09
0.00433633 6.37909e+09
0.00437195 6.29355e+09
0.00440786 6.22007e+09
0.00444405 6.14464e+09
0.00448053 6.06593e+09
0.00451731 5.991e+09
0.0045544 5.91391e+09
0.00459181 5.83267e+09
0.00462953 5.76749e+09
0.00466752 5.68787e+09
0.00470583 5.61964e+09
0.00474448 5.54294e+09
0.00478347 5.47438e+09
0.00482275 5.39347e+09
0.00486234 5.32652e+09
0.00490225 5.2566e+09
0.0049425 5.19031e+09
0.0049831 5.12139e+09
0.00502401 5.05618e+09
0.00506526 4.99152e+09
0.00510687 4.92356e+09
0.00514879 4.85632e+09
0.00519107 4.79327e+09
0.0052337 4.72685e+09
0.00527667 4.66673e+09
0.00532001 4.60751e+09
0.00536367 4.53867e+09
0.00540771 4.48141e+09
0.00545214 4.4188e+09
0.0054969 4.3549e+09
0.00554203 4.29923e+09
0.00558753 4.23918e+09
0.00563342 4.18159e+09
0.00567967 4.12812e+09
0.00572631 4.06879e+09
0.00577334 4.0121e+09
0.00582073 3.9548e+09
0.00586853 3.90261e+09
0.00591672 3.84468e+09
0.0059653 3.79367e+09
0.00601426 3.74212e+09
0.00606365 3.68502e+09
0.00611346 3.63812e+09
0.00616366 3.58639e+09
0.00621427 3.53803e+09
0.00626529 3.48717e+09
0.00631673 3.43726e+09
0.00636859 3.389e+09
0.00642088 3.3402e+09
0.00647362 3.29525e+09
0.00652677 3.24679e+09
0.00658036 3.2013e+09
0.0066344 3.154e+09
0.00668886 3.11094e+09
0.00674379 3.06468e+09
0.00679918 3.02074e+09
0.00685501 2.97563e+09
0.00691131 2.93657e+09
0.00696806 2.89405e+09
0.00702526 2.85302e+09
0.00708294 2.81192e+09
0.00714111 2.77037e+09
0.00719973 2.73161e+09
0.00725885 2.69298e+09
0.00731846 2.65431e+09
0.00737856 2.61614e+09
0.00743915 2.57876e+09
0.00750022 2.54134e+09
0.0075618 2.50502e+09
0.0076239 2.46924e+09
0.00768649 2.43317e+09
0.00774961 2.39807e+09
0.00781325 2.36618e+09
0.00787742 2.33218e+09
0.0079421 2.2978e+09
0.0080073 2.26621e+09
0.00807306 2.2335e+09
0.00813935 2.20368e+09
0.00820618 2.17191e+09
0.00827356 2.14214e+09
0.0083415 2.11184e+09
0.00840998 2.08343e+09
0.00847904 2.05394e+09
0.00854867 2.02626e+09
0.00861886 1.99936e+09
0.00868963 1.97258e+09
0.00876099 1.94578e+09
0.00883292 1.92027e+09
0.00890544 1.89526e+09
0.00897858 1.87093e+09
0.00905231 1.84773e+09
0.00912663 1.8249e+09
0.00920156 1.8021e+09
0.00927713 1.78035e+09
0.0093533 1.75915e+09
0.0094301 1.73951e+09
0.00950753 1.7201e+09
0.0095856 1.70145e+09
0.00966431 1.68387e+09
0.00974367 1.66709e+09
0.00982367 1.65121e+09
0.00990433 1.63556e+09
0.00998566 1.62143e+09
0.0100677 1.60867e+09
0.0101503 1.5968e+09
0.0102337 1.58561e+09
0.0103177 1.5759e+09
0.0104024 1.56711e+09
0.0104878 1.56009e+09
0.010574 1.55393e+09
0.0106608 1.54951e+09
0.0107483 1.54616e+09
0.0108366 1.54538e+09
0.0109256 1.54661e+09
0.0110152 1.549e+09
0.0111055 1.53766e+09
0.0111967 1.52044e+09
0.0112886 1.50255e+09
0.0113813 1.48609e+09
0.0114748 1.46945e+09
0.011569 1.45412e+09
0.011664 1.43901e+09
0.0117598 1.42458e+09
0.0118563 1.41107e+09
0.0119537 1.39836e+09
0.0120518 1.38553e+09
0.0121508 1.37433e+09
0.0122505 1.36242e+09
0.0123511 1.35178e+09
0.0124525 1.34228e+09
0.0125548 1.33302e+09
0.0126579 1.32415e+09
0.0127618 1.31646e+09
0.0128666 1.30985e+09
0.0129722 1.30354e+09
0.0130787 1.29781e+09
0.0131861 1.29349e+09
0.0132944 1.29027e+09
0.0134035 1.2883e+09
0.0135136 1.28652e+09
0.0136245 1.28655e+09
0.0137363 1.28747e+09
0.0138491 1.28963e+09
0.0139628 1.29281e+09
0.0140774 1.29781e+09
0.014193 1.30491e+09
0.0143095 1.31272e+09
0.014427 1.32226e+09
0.0145454 1.33364e+09
0.0146648 1.34642e+09
0.0147852 1.36012e+09
0.0149065 1.37473e+09
0.0150288 1.38886e+09
0.0151522 1.40276e+09
0.0152765 1.41441e+09
0.0154018 1.4203e+09
0.0155281 1.41578e+09
0.0156556 1.40159e+09
0.0157843 1.39506e+09
0.0159139 1.39546e+09
0.0160445 1.39988e+09
0.0161763 1.40896e+09
0.0163091 1.42199e+09
0.0164429 1.43961e+09
0.0165779 1.45924e+09
0.0167139 1.48431e+09
0.0168511 1.51451e+09
0.0169894 1.54855e+09
0.0171288 1.5876e+09
0.0172693 1.63468e+09
0.0174109 1.68884e+09
0.0175537 1.75486e+09
0.0176976 1.82787e+09
0.0178426 1.91598e+09
0.0179887 2.01239e+09
0.018136 2.12376e+09
0.0182842 2.26343e+09
0.0184332 2.4135e+09
0.0185832 2.60295e+09
0.0187336 2.80492e+09
0.0188802 3.05301e+09
0.0190113 3.26319e+09
0.0191299 1.45118e+08