# k P_nu(k)
# a = 0.488153
# nbins = 695
1.22718e-05 9.01077e+12
1.7355e-05 9.54487e+12
2.12555e-05 9.29803e+12
2.45437e-05 8.57789e+12
2.74407e-05 7.99038e+12
3.00598e-05 7.53281e+12
3.471e-05 7.05478e+12
3.68155e-05 6.25804e+12
3.8807e-05 5.55706e+12
4.07011e-05 5.71744e+12
4.25109e-05 5.29423e+12
4.42468e-05 5.37094e+12
4.5917e-05 4.81073e+12
4.90874e-05 5.19333e+12
5.05981e-05 4.7983e+12
5.2065e-05 5.0335e+12
5.34917e-05 4.40006e+12
5.48814e-05 4.51008e+12
5.62367e-05 4.5238e+12
5.75601e-05 4.79725e+12
6.01195e-05 4.04248e+12
6.13592e-05 4.29679e+12
6.25744e-05 4.03504e+12
6.37664e-05 3.99299e+12
6.60859e-05 4.00862e+12
6.72157e-05 3.90133e+12
6.942e-05 4.40412e+12
7.04964e-05 3.88561e+12
7.15565e-05 3.3246e+12
7.26012e-05 3.88916e+12
7.36311e-05 3.59457e+12
7.46467e-05 3.00178e+12
7.56487e-05 3.58351e+12
7.7614e-05 2.98806e+12
7.85782e-05 3.2614e+12
7.95307e-05 2.92959e+12
8.04719e-05 2.62359e+12
8.14022e-05 2.9881e+12
8.2322e-05 2.62381e+12
8.32317e-05 2.79263e+12
8.50218e-05 2.65501e+12
8.59029e-05 2.73356e+12
8.67751e-05 2.61399e+12
8.76385e-05 2.43982e+12
8.84935e-05 3.20182e+12
8.93404e-05 2.78403e+12
9.01793e-05 2.51633e+12
9.18341e-05 2.66062e+12
9.26504e-05 2.19077e+12
9.34596e-05 2.41409e+12
9.42618e-05 2.15265e+12
9.58462e-05 2.18626e+12
9.66286e-05 2.13432e+12
9.81748e-05 2.18298e+12
9.89388e-05 2.25117e+12
9.9697e-05 2.07537e+12
0.000100947 1.82114e+12
0.000101938 2.21694e+12
0.000102674 2.1332e+12
0.00010413 2.21864e+12
0.000104851 2.1295e+12
0.000105793 1.95163e+12
0.000106983 1.8673e+12
0.000107685 2.10045e+12
0.000108382 2.19552e+12
0.000109763 1.6885e+12
0.000110447 2.00184e+12
0.000111126 1.69277e+12
0.00011207 1.89243e+12
0.000113141 1.6548e+12
0.000113804 1.9472e+12
0.00011512 1.69614e+12
0.000115772 1.85382e+12
0.000116605 1.7838e+12
0.000118768 1.77833e+12
0.000120655 1.93961e+12
0.000121732 1.69514e+12
0.000122718 1.70826e+12
0.000123466 1.7087e+12
0.000125149 1.50589e+12
0.000125749 1.78142e+12
0.000126644 1.72587e+12
0.000127941 1.63016e+12
0.000128708 1.89678e+12
0.000130739 1.46566e+12
0.000131943 1.5789e+12
0.000132953 1.71213e+12
0.000134431 1.61402e+12
0.000135328 1.64163e+12
0.000136101 1.32523e+12
0.000137477 1.43093e+12
0.00013884 1.07196e+12
0.000139516 1.51494e+12
0.000140611 1.44056e+12
0.000141939 1.36963e+12
0.000143463 1.19712e+12
0.000144385 1.47418e+12
0.000145548 1.31122e+12
0.000146631 1.16232e+12
0.000148112 1.32862e+12
0.00014952 1.22628e+12
0.000150299 1.23199e+12
0.000151832 1.08531e+12
0.000152783 1.27339e+12
0.000154045 1.27655e+12
0.000155658 1.0906e+12
0.00015665 1.15147e+12
0.0001579 1.02471e+12
0.000159354 1.1195e+12
0.000160279 1.21081e+12
0.000161626 1.08047e+12
0.000163463 1.15856e+12
0.000164644 1.10983e+12
0.000165783 1.07121e+12
0.000167197 1.07619e+12
0.000168799 1.05237e+12
0.000170423 1.1518e+12
0.000171157 9.98605e+11
0.000172744 9.72245e+11
0.000174349 9.73531e+11
0.00017592 9.51293e+11
0.000177497 9.27315e+11
0.000178723 9.90301e+11
0.000180282 9.69405e+11
0.000181376 9.8886e+11
0.000182743 8.99136e+11
0.000184551 9.47374e+11
0.000185977 9.42352e+11
0.000187589 9.12419e+11
0.000188953 8.53484e+11
0.000190863 9.1997e+11
0.000192158 9.10991e+11
0.000193916 9.17651e+11
0.000195504 8.4772e+11
0.000197181 9.12017e+11
0.000198613 8.0337e+11
0.000200148 7.91408e+11
0.000201721 7.76672e+11
0.000203587 8.28501e+11
0.00020541 7.75006e+11
0.000207172 7.58984e+11
0.000208922 8.43084e+11
0.000210371 7.8309e+11
0.000212078 7.48279e+11
0.000214191 7.07514e+11
0.000215596 7.6793e+11
0.00021743 6.62033e+11
0.000219259 6.77615e+11
0.000221084 6.62716e+11
0.00022283 6.28471e+11
0.000224493 6.61034e+11
0.000226376 6.2407e+11
0.000228421 6.3111e+11
0.000230288 6.62249e+11
0.000231928 5.93705e+11
0.00023399 6.02113e+11
0.000236053 5.56657e+11
0.000237805 6.17402e+11
0.000239779 5.62282e+11
0.000241744 6.19132e+11
0.000243673 5.52875e+11
0.000245757 5.84535e+11
0.000247871 5.74043e+11
0.00024984 5.63954e+11
0.000251597 5.67106e+11
0.000253565 5.61368e+11
0.000256 5.78332e+11
0.000258364 5.47187e+11
0.000260499 5.8817e+11
0.000262417 5.61623e+11
0.000264367 5.25724e+11
0.000266592 4.79201e+11
0.000268987 4.59536e+11
0.000271108 5.15473e+11
0.000273349 4.84981e+11
0.000275546 4.89197e+11
0.000277706 4.54961e+11
0.000280204 4.46007e+11
0.000282696 4.86414e+11
0.000284955 4.96413e+11
0.000287036 4.41566e+11
0.000289296 4.42719e+11
0.000291909 4.51709e+11
0.000294404 4.43214e+11
0.000296654 4.53139e+11
0.000299082 4.67437e+11
0.000301403 4.61145e+11
0.000303861 4.23361e+11
0.000306413 4.13301e+11
0.000308749 4.04091e+11
0.000311525 4.1275e+11
0.000313955 3.86586e+11
0.000316471 4.01353e+11
0.000319321 4.16026e+11
0.000322008 3.83858e+11
0.000324666 3.7181e+11
0.00032719 3.73186e+11
0.000329929 3.73872e+11
0.000332507 3.61572e+11
0.000335216 3.82065e+11
0.000337986 3.51501e+11
0.000340927 3.48283e+11
0.000343668 3.52073e+11
0.000346605 3.45661e+11
0.000349164 3.45324e+11
0.000352165 3.32313e+11
0.000355188 3.36824e+11
0.000358008 3.30075e+11
0.000361098 3.10759e+11
0.000363971 3.25961e+11
0.00036707 3.06837e+11
0.000369977 3.075e+11
0.000373107 3.07383e+11
0.000376085 3.28441e+11
0.000379074 3.09222e+11
0.000382228 3.07952e+11
0.00038541 2.96091e+11
0.000388542 2.94422e+11
0.000391757 2.88337e+11
0.000394981 2.8176e+11
0.000398111 2.76961e+11
0.000401474 2.73448e+11
0.000404717 2.7666e+11
0.000407935 2.7289e+11
0.000411525 2.73019e+11
0.000414686 2.63547e+11
0.000418155 2.63305e+11
0.00042175 2.54326e+11
0.000425291 2.53788e+11
0.000428636 2.50886e+11
0.000432208 2.3973e+11
0.0004357 2.49005e+11
0.000439332 2.44472e+11
0.000442787 2.40947e+11
0.000446449 2.44217e+11
0.000450291 2.32634e+11
0.000453801 2.41876e+11
0.000457447 2.32309e+11
0.000461323 2.27527e+11
0.000465014 2.27046e+11
0.000468866 2.20958e+11
0.000472806 2.23554e+11
0.00047678 2.16674e+11
0.000480624 2.17641e+11
0.000484555 2.15655e+11
0.000488474 2.18137e+11
0.000492396 2.06247e+11
0.000496538 2.05707e+11
0.000500678 2.0544e+11
0.000504761 2.03365e+11
0.000508767 1.96847e+11
0.000512959 2.00602e+11
0.000517253 1.90839e+11
0.000521544 1.90099e+11
0.000525774 1.91258e+11
0.000530168 1.89431e+11
0.000534431 1.86912e+11
0.00053878 1.87292e+11
0.000543223 1.83714e+11
0.000547788 1.8301e+11
0.000552163 1.79468e+11
0.000556755 1.70773e+11
0.000561463 1.77891e+11
0.000566064 1.68194e+11
0.000570587 1.67831e+11
0.000575277 1.67105e+11
0.000580056 1.68182e+11
0.000584753 1.65529e+11
0.000589576 1.64124e+11
0.000594327 1.6419e+11
0.000599226 1.6502e+11
0.000604166 1.58822e+11
0.000609275 1.56193e+11
0.000614265 1.54113e+11
0.000619191 1.54523e+11
0.000624415 1.52818e+11
0.000629458 1.4798e+11
0.00063466 1.52101e+11
0.00063975 1.48598e+11
0.00064489 1.44112e+11
0.000650271 1.46306e+11
0.000655619 1.44644e+11
0.000661178 1.39194e+11
0.000666601 1.38049e+11
0.00067198 1.36547e+11
0.000677465 1.37208e+11
0.000682952 1.32916e+11
0.000688602 1.34114e+11
0.000694365 1.30362e+11
0.000699968 1.31383e+11
0.00070566 1.31398e+11
0.000711633 1.30495e+11
0.000717351 1.27328e+11
0.000723301 1.26971e+11
0.000729237 1.22237e+11
0.00073526 1.22315e+11
0.000741287 1.22129e+11
0.000747431 1.21452e+11
0.000753573 1.21454e+11
0.000759705 1.19507e+11
0.000765936 1.17655e+11
0.000772341 1.17753e+11
0.000778615 1.15257e+11
0.000785031 1.12973e+11
0.000791493 1.14528e+11
0.000797999 1.11747e+11
0.000804499 1.10056e+11
0.000811074 1.10622e+11
0.000817707 1.07861e+11
0.000824546 1.07121e+11
0.000831271 1.06522e+11
0.000838002 1.05562e+11
0.000844949 1.0485e+11
0.000851929 1.04467e+11
0.000858954 1.03203e+11
0.000865919 1.01738e+11
0.000873072 1.00177e+11
0.000880195 9.96896e+10
0.000887393 9.75392e+10
0.000894783 9.65405e+10
0.000902097 9.55197e+10
0.00090951 9.43869e+10
0.000916929 9.43848e+10
0.000924423 9.38349e+10
0.00093206 9.36621e+10
0.000939669 9.31945e+10
0.000947384 9.13256e+10
0.000955222 9.08233e+10
0.000963012 8.97707e+10
0.00097096 8.91279e+10
0.000978975 8.89145e+10
0.000986946 8.69441e+10
0.000995044 8.62163e+10
0.00100317 8.53055e+10
0.00101134 8.47817e+10
0.00101966 8.34516e+10
0.00102811 8.35839e+10
0.0010366 8.14084e+10
0.00104515 8.13248e+10
0.00105367 8.13588e+10
0.0010623 7.9522e+10
0.00107099 7.90491e+10
0.00107984 7.85817e+10
0.00108877 7.78281e+10
0.00109754 7.67977e+10
0.00110658 7.68385e+10
0.00111585 7.51663e+10
0.001125 7.57442e+10
0.00113422 7.41401e+10
0.00114355 7.4578e+10
0.00115284 7.33115e+10
0.0011623 7.25261e+10
0.00117183 7.15565e+10
0.00118147 7.07181e+10
0.00119124 7.03273e+10
0.00120099 6.95342e+10
0.00121082 6.89067e+10
0.00122077 6.86828e+10
0.00123083 6.81337e+10
0.00124092 6.75421e+10
0.00125109 6.7054e+10
0.00126141 6.63931e+10
0.00127177 6.55813e+10
0.00128216 6.48688e+10
0.00129272 6.43155e+10
0.00130337 6.3699e+10
0.00131407 6.30139e+10
0.00132486 6.21865e+10
0.00133574 6.18476e+10
0.00134668 6.16067e+10
0.0013577 6.07763e+10
0.0013688 6.07267e+10
0.00138009 5.97795e+10
0.00139144 5.94432e+10
0.00140285 5.8746e+10
0.00141438 5.82912e+10
0.0014259 5.79445e+10
0.00143763 5.74782e+10
0.00144946 5.63826e+10
0.00146138 5.63214e+10
0.00147343 5.5455e+10
0.00148553 5.51187e+10
0.00149773 5.45154e+10
0.00150998 5.38098e+10
0.00152238 5.39918e+10
0.00153493 5.30512e+10
0.00154754 5.27766e+10
0.0015602 5.21297e+10
0.00157297 5.13562e+10
0.00158593 5.1294e+10
0.00159901 5.07425e+10
0.00161212 5.02944e+10
0.00162533 5.01223e+10
0.00163867 4.9294e+10
0.00165213 4.92963e+10
0.00166568 4.81902e+10
0.00167936 4.78882e+10
0.00169314 4.75724e+10
0.00170706 4.69861e+10
0.00172108 4.67082e+10
0.00173519 4.61602e+10
0.00174947 4.57359e+10
0.00176388 4.52902e+10
0.00177833 4.49499e+10
0.00179289 4.4783e+10
0.00180762 4.40477e+10
0.0018225 4.37109e+10
0.00183749 4.34718e+10
0.00185259 4.28077e+10
0.00186776 4.27383e+10
0.00188308 4.20375e+10
0.00189858 4.17481e+10
0.00191415 4.13842e+10
0.00192986 4.09871e+10
0.00194568 4.03409e+10
0.00196164 4.00374e+10
0.00197781 3.97093e+10
0.00199407 3.93064e+10
0.00201041 3.90243e+10
0.0020269 3.84549e+10
0.00204357 3.81195e+10
0.00206031 3.78414e+10
0.00207723 3.7443e+10
0.00209433 3.70287e+10
0.00211151 3.67587e+10
0.00212883 3.63883e+10
0.00214631 3.59002e+10
0.00216395 3.56233e+10
0.00218171 3.51763e+10
0.00219964 3.49736e+10
0.0022177 3.45557e+10
0.00223591 3.41091e+10
0.00225426 3.3778e+10
0.00227273 3.34852e+10
0.00229144 3.32006e+10
0.00231024 3.28139e+10
0.00232919 3.24443e+10
0.00234835 3.21241e+10
0.00236765 3.18263e+10
0.00238708 3.15725e+10
0.00240668 3.10243e+10
0.00242645 3.08012e+10
0.00244635 3.04648e+10
0.00246642 3.00987e+10
0.00248668 2.98374e+10
0.00250712 2.95218e+10
0.0025277 2.91891e+10
0.00254846 2.87767e+10
0.00256938 2.84511e+10
0.00259045 2.82536e+10
0.00261172 2.78928e+10
0.00263319 2.75834e+10
0.00265482 2.73567e+10
0.0026766 2.70177e+10
0.00269857 2.66829e+10
0.00272074 2.63771e+10
0.00274311 2.60531e+10
0.00276562 2.57781e+10
0.00278831 2.54367e+10
0.00281122 2.51821e+10
0.00283428 2.48883e+10
0.00285753 2.45731e+10
0.00288102 2.43103e+10
0.00290469 2.40621e+10
0.00292852 2.37151e+10
0.00295255 2.34702e+10
0.00297682 2.32059e+10
0.00300132 2.29914e+10
0.00302595 2.26692e+10
0.00305077 2.23805e+10
0.00307582 2.21073e+10
0.00310109 2.18528e+10
0.00312652 2.15799e+10
0.00315219 2.13598e+10
0.00317808 2.10349e+10
0.00320418 2.08103e+10
0.00323049 2.05754e+10
0.003257 2.02939e+10
0.00328375 2.00625e+10
0.00331073 1.98215e+10
0.00333793 1.96116e+10
0.00336532 1.93317e+10
0.00339295 1.90702e+10
0.00342081 1.88479e+10
0.0034489 1.8574e+10
0.00347724 1.83661e+10
0.00350579 1.8098e+10
0.00353457 1.78723e+10
0.00356356 1.76404e+10
0.0035928 1.74187e+10
0.0036223 1.71714e+10
0.00365206 1.69554e+10
0.00368208 1.67257e+10
0.00371232 1.64852e+10
0.0037428 1.62943e+10
0.00377353 1.60754e+10
0.00380451 1.58455e+10
0.00383574 1.56633e+10
0.00386724 1.54589e+10
0.00389899 1.52182e+10
0.003931 1.50467e+10
0.0039633 1.48336e+10
0.00399584 1.46498e+10
0.00402865 1.44297e+10
0.00406173 1.4217e+10
0.00409507 1.40275e+10
0.00412871 1.38349e+10
0.00416262 1.36526e+10
0.0041968 1.34816e+10
0.00423127 1.32906e+10
0.004266 1.31017e+10
0.00430101 1.29066e+10
0.00433633 1.27369e+10
0.00437195 1.25295e+10
0.00440786 1.23822e+10
0.00444405 1.21971e+10
0.00448053 1.20201e+10
0.00451731 1.18539e+10
0.0045544 1.16805e+10
0.00459181 1.15113e+10
0.00462953 1.13491e+10
0.00466752 1.11785e+10
0.00470583 1.10297e+10
0.00474448 1.08649e+10
0.00478347 1.07099e+10
0.00482275 1.05557e+10
0.00486234 1.03943e+10
0.00490225 1.02508e+10
0.0049425 1.01016e+10
0.0049831 9.95879e+09
0.00502401 9.80642e+09
0.00506526 9.6603e+09
0.00510687 9.52038e+09
0.00514879 9.37533e+09
0.00519107 9.23241e+09
0.0052337 9.10576e+09
0.00527667 8.97076e+09
0.00532001 8.83444e+09
0.00536367 8.70448e+09
0.00540771 8.57742e+09
0.00545214 8.44382e+09
0.0054969 8.32434e+09
0.00554203 8.19765e+09
0.00558753 8.0688e+09
0.00563342 7.95938e+09
0.00567967 7.829e+09
0.00572631 7.71345e+09
0.00577334 7.5977e+09
0.00582073 7.47529e+09
0.00586853 7.36796e+09
0.00591672 7.25338e+09
0.0059653 7.14595e+09
0.00601426 7.03447e+09
0.00606365 6.92519e+09
0.00611346 6.82203e+09
0.00616366 6.71863e+09
0.00621427 6.61371e+09
0.00626529 6.51524e+09
0.00631673 6.41448e+09
0.00636859 6.31267e+09
0.00642088 6.2177e+09
0.00647362 6.12172e+09
0.00652677 6.0273e+09
0.00658036 5.9366e+09
0.0066344 5.84179e+09
0.00668886 5.75356e+09
0.00674379 5.66622e+09
0.00679918 5.57463e+09
0.00685501 5.48954e+09
0.00691131 5.40472e+09
0.00696806 5.32235e+09
0.00702526 5.24066e+09
0.00708294 5.15809e+09
0.00714111 5.07803e+09
0.00719973 5.00117e+09
0.00725885 4.92106e+09
0.00731846 4.84669e+09
0.00737856 4.773e+09
0.00743915 4.69753e+09
0.00750022 4.62705e+09
0.0075618 4.5522e+09
0.0076239 4.48291e+09
0.00768649 4.41644e+09
0.00774961 4.34635e+09
0.00781325 4.28179e+09
0.00787742 4.21562e+09
0.0079421 4.15261e+09
0.0080073 4.08757e+09
0.00807306 4.02529e+09
0.00813935 3.96523e+09
0.00820618 3.90588e+09
0.00827356 3.84805e+09
0.0083415 3.7924e+09
0.00840998 3.7328e+09
0.00847904 3.67934e+09
0.00854867 3.6254e+09
0.00861886 3.57439e+09
0.00868963 3.52112e+09
0.00876099 3.47132e+09
0.00883292 3.42084e+09
0.00890544 3.37281e+09
0.00897858 3.3277e+09
0.00905231 3.28239e+09
0.00912663 3.23713e+09
0.00920156 3.19405e+09
0.00927713 3.15357e+09
0.0093533 3.1128e+09
0.0094301 3.07282e+09
0.00950753 3.03624e+09
0.0095856 2.99962e+09
0.00966431 2.96503e+09
0.00974367 2.93198e+09
0.00982367 2.90014e+09
0.00990433 2.87073e+09
0.00998566 2.84376e+09
0.0100677 2.81814e+09
0.0101503 2.79305e+09
0.0102337 2.77088e+09
0.0103177 2.75061e+09
0.0104024 2.73339e+09
0.0104878 2.71704e+09
0.010574 2.70434e+09
0.0106608 2.69483e+09
0.0107483 2.68652e+09
0.0108366 2.6821e+09
0.0109256 2.68152e+09
0.0110152 2.68263e+09
0.0111055 2.6624e+09
0.0111967 2.63119e+09
0.0112886 2.59863e+09
0.0113813 2.56756e+09
0.0114748 2.53875e+09
0.011569 2.50859e+09
0.011664 2.48199e+09
0.0117598 2.45404e+09
0.0118563 2.42809e+09
0.0119537 2.40239e+09
0.0120518 2.37902e+09
0.0121508 2.35686e+09
0.0122505 2.33449e+09
0.0123511 2.31376e+09
0.0124525 2.29393e+09
0.0125548 2.27504e+09
0.0126579 2.25815e+09
0.0127618 2.24135e+09
0.0128666 2.22727e+09
0.0129722 2.21373e+09
0.0130787 2.20223e+09
0.0131861 2.19127e+09
0.0132944 2.18304e+09
0.0134035 2.17539e+09
0.0135136 2.17045e+09
0.0136245 2.16761e+09
0.0137363 2.16605e+09
0.0138491 2.16564e+09
0.0139628 2.16976e+09
0.0140774 2.17596e+09
0.014193 2.18356e+09
0.0143095 2.19398e+09
0.014427 2.2072e+09
0.0145454 2.22164e+09
0.0146648 2.23977e+09
0.0147852 2.25931e+09
0.0149065 2.2806e+09
0.0150288 2.30208e+09
0.0151522 2.32045e+09
0.0152765 2.33712e+09
0.0154018 2.3432e+09
0.0155281 2.33125e+09
0.0156556 2.30421e+09
0.0157843 2.28897e+09
0.0159139 2.28941e+09
0.0160445 2.29116e+09
0.0161763 2.30086e+09
0.0163091 2.31825e+09
0.0164429 2.34038e+09
0.0165779 2.37244e+09
0.0167139 2.40521e+09
0.0168511 2.4477e+09
0.0169894 2.50145e+09
0.0171288 2.56322e+09
0.0172693 2.63302e+09
0.0174109 2.71553e+09
0.0175537 2.81335e+09
0.0176976 2.92376e+09
0.0178426 3.05214e+09
0.0179887 3.20176e+09
0.018136 3.38132e+09
0.0182842 3.58868e+09
0.0184332 3.83134e+09
0.0185832 4.13666e+09
0.0187336 4.45204e+09
0.0188802 4.82264e+09
0.0190113 5.27543e+09
0.0191299 2.09826e+09