# k P_nu(k)
# a = 0.0619156
# nbins = 695
1.22718e-05 1.55877e+11
1.7355e-05 1.62882e+11
2.12555e-05 1.57444e+11
2.45437e-05 1.48216e+11
2.74407e-05 1.38814e+11
3.00598e-05 1.30152e+11
3.471e-05 1.15999e+11
3.68155e-05 1.08912e+11
3.8807e-05 1.02651e+11
4.07011e-05 9.90803e+10
4.25109e-05 9.47662e+10
4.42468e-05 9.20131e+10
4.5917e-05 8.81247e+10
4.90874e-05 8.49465e+10
5.05981e-05 8.25048e+10
5.2065e-05 8.14983e+10
5.34917e-05 7.87969e+10
5.48814e-05 7.78416e+10
5.62367e-05 7.68284e+10
5.75601e-05 7.64134e+10
6.01195e-05 7.29265e+10
6.13592e-05 7.24747e+10
6.25744e-05 7.11282e+10
6.37664e-05 7.00994e+10
6.60859e-05 6.84196e+10
6.72157e-05 6.73239e+10
6.942e-05 6.65779e+10
7.04964e-05 6.45906e+10
7.15565e-05 6.25098e+10
7.26012e-05 6.27457e+10
7.36311e-05 6.10472e+10
7.46467e-05 5.90913e+10
7.56487e-05 5.95021e+10
7.7614e-05 5.61504e+10
7.85782e-05 5.5907e+10
7.95307e-05 5.41667e+10
8.04719e-05 5.25753e+10
8.14022e-05 5.24109e+10
8.2322e-05 5.09907e+10
8.32317e-05 5.04291e+10
8.50218e-05 4.89916e+10
8.59029e-05 4.77637e+10
8.67751e-05 4.67595e+10
8.76385e-05 4.56081e+10
8.84935e-05 4.65742e+10
8.93404e-05 4.49803e+10
9.01793e-05 4.36593e+10
9.18341e-05 4.26895e+10
9.26504e-05 4.11448e+10
9.34596e-05 4.08524e+10
9.42618e-05 3.98316e+10
9.58462e-05 3.90143e+10
9.66286e-05 3.85069e+10
9.81748e-05 3.78671e+10
9.89388e-05 3.73227e+10
9.9697e-05 3.66504e+10
0.000100947 3.56631e+10
0.000101938 3.57749e+10
0.000102674 3.53843e+10
0.00010413 3.48435e+10
0.000104851 3.44353e+10
0.000105793 3.38908e+10
0.000106983 3.34776e+10
0.000107685 3.34911e+10
0.000108382 3.35795e+10
0.000109763 3.16823e+10
0.000110447 3.27084e+10
0.000111126 3.16975e+10
0.00011207 3.18662e+10
0.000113141 3.11532e+10
0.000113804 3.17622e+10
0.00011512 3.09421e+10
0.000115772 3.10705e+10
0.000116605 3.06193e+10
0.000118768 3.0353e+10
0.000120655 3.03781e+10
0.000121732 2.95742e+10
0.000122718 2.90815e+10
0.000123466 2.91485e+10
0.000125149 2.85353e+10
0.000125749 2.88654e+10
0.000126644 2.85611e+10
0.000127941 2.79448e+10
0.000128708 2.82868e+10
0.000130739 2.68732e+10
0.000131943 2.68281e+10
0.000132953 2.66471e+10
0.000134431 2.62327e+10
0.000135328 2.61822e+10
0.000136101 2.50835e+10
0.000137477 2.49551e+10
0.00013884 2.3596e+10
0.000139516 2.4445e+10
0.000140611 2.38402e+10
0.000141939 2.32517e+10
0.000143463 2.24511e+10
0.000144385 2.30099e+10
0.000145548 2.20667e+10
0.000146631 2.13731e+10
0.000148112 2.14944e+10
0.00014952 2.07678e+10
0.000150299 2.08015e+10
0.000151832 1.97936e+10
0.000152783 2.00918e+10
0.000154045 1.97243e+10
0.000155658 1.88944e+10
0.00015665 1.88347e+10
0.0001579 1.82444e+10
0.000159354 1.81758e+10
0.000160279 1.82369e+10
0.000161626 1.76799e+10
0.000163463 1.76124e+10
0.000164644 1.7258e+10
0.000165783 1.73157e+10
0.000167197 1.6853e+10
0.000168799 1.68187e+10
0.000170423 1.67555e+10
0.000171157 1.63185e+10
0.000172744 1.61768e+10
0.000174349 1.61113e+10
0.00017592 1.57108e+10
0.000177497 1.5626e+10
0.000178723 1.57214e+10
0.000180282 1.54806e+10
0.000181376 1.54025e+10
0.000182743 1.51502e+10
0.000184551 1.50721e+10
0.000185977 1.49575e+10
0.000187589 1.47796e+10
0.000188953 1.43285e+10
0.000190863 1.43819e+10
0.000192158 1.42581e+10
0.000193916 1.41111e+10
0.000195504 1.36567e+10
0.000197181 1.36094e+10
0.000198613 1.32688e+10
0.000200148 1.3001e+10
0.000201721 1.28003e+10
0.000203587 1.26508e+10
0.00020541 1.23338e+10
0.000207172 1.20171e+10
0.000208922 1.19773e+10
0.000210371 1.16756e+10
0.000212078 1.14579e+10
0.000214191 1.12394e+10
0.000215596 1.12131e+10
0.00021743 1.08201e+10
0.000219259 1.06157e+10
0.000221084 1.03882e+10
0.00022283 1.02835e+10
0.000224493 1.02655e+10
0.000226376 9.87046e+09
0.000228421 9.88535e+09
0.000230288 9.84672e+09
0.000231928 9.63649e+09
0.00023399 9.4004e+09
0.000236053 9.30007e+09
0.000237805 9.35207e+09
0.000239779 9.08532e+09
0.000241744 9.12535e+09
0.000243673 8.9169e+09
0.000245757 8.88907e+09
0.000247871 8.78043e+09
0.00024984 8.71024e+09
0.000251597 8.54569e+09
0.000253565 8.40403e+09
0.000256 8.2685e+09
0.000258364 8.1934e+09
0.000260499 8.09688e+09
0.000262417 7.86101e+09
0.000264367 7.75398e+09
0.000266592 7.57004e+09
0.000268987 7.46369e+09
0.000271108 7.36827e+09
0.000273349 7.19231e+09
0.000275546 7.00707e+09
0.000277706 6.92408e+09
0.000280204 6.75786e+09
0.000282696 6.77327e+09
0.000284955 6.63359e+09
0.000287036 6.44008e+09
0.000289296 6.35634e+09
0.000291909 6.31825e+09
0.000294404 6.24668e+09
0.000296654 6.18896e+09
0.000299082 6.15882e+09
0.000301403 6.0022e+09
0.000303861 5.88816e+09
0.000306413 5.80668e+09
0.000308749 5.6958e+09
0.000311525 5.64087e+09
0.000313955 5.57281e+09
0.000316471 5.49336e+09
0.000319321 5.45871e+09
0.000322008 5.29216e+09
0.000324666 5.2088e+09
0.00032719 5.09586e+09
0.000329929 5.05457e+09
0.000332507 4.99545e+09
0.000335216 4.91931e+09
0.000337986 4.80011e+09
0.000340927 4.68556e+09
0.000343668 4.59428e+09
0.000346605 4.51962e+09
0.000349164 4.47983e+09
0.000352165 4.34851e+09
0.000355188 4.2914e+09
0.000358008 4.28895e+09
0.000361098 4.18629e+09
0.000363971 4.11284e+09
0.00036707 4.01089e+09
0.000369977 4.00685e+09
0.000373107 3.91728e+09
0.000376085 3.87882e+09
0.000379074 3.79706e+09
0.000382228 3.73013e+09
0.00038541 3.70462e+09
0.000388542 3.63752e+09
0.000391757 3.54855e+09
0.000394981 3.52253e+09
0.000398111 3.40352e+09
0.000401474 3.3577e+09
0.000404717 3.30354e+09
0.000407935 3.26468e+09
0.000411525 3.20393e+09
0.000414686 3.18529e+09
0.000418155 3.12975e+09
0.00042175 3.07226e+09
0.000425291 2.98044e+09
0.000428636 2.93875e+09
0.000432208 2.89673e+09
0.0004357 2.87263e+09
0.000439332 2.81839e+09
0.000442787 2.76236e+09
0.000446449 2.72362e+09
0.000450291 2.66834e+09
0.000453801 2.65521e+09
0.000457447 2.58256e+09
0.000461323 2.5446e+09
0.000465014 2.49187e+09
0.000468866 2.45992e+09
0.000472806 2.39954e+09
0.00047678 2.37919e+09
0.000480624 2.31828e+09
0.000484555 2.30498e+09
0.000488474 2.2622e+09
0.000492396 2.21176e+09
0.000496538 2.19075e+09
0.000500678 2.15188e+09
0.000504761 2.11408e+09
0.000508767 2.07312e+09
0.000512959 2.0375e+09
0.000517253 2.01105e+09
0.000521544 1.9559e+09
0.000525774 1.9435e+09
0.000530168 1.90055e+09
0.000534431 1.86403e+09
0.00053878 1.81353e+09
0.000543223 1.79463e+09
0.000547788 1.77528e+09
0.000552163 1.73813e+09
0.000556755 1.7085e+09
0.000561463 1.66577e+09
0.000566064 1.65595e+09
0.000570587 1.62312e+09
0.000575277 1.56998e+09
0.000580056 1.55795e+09
0.000584753 1.54908e+09
0.000589576 1.509e+09
0.000594327 1.49153e+09
0.000599226 1.4552e+09
0.000604166 1.42938e+09
0.000609275 1.40206e+09
0.000614265 1.38569e+09
0.000619191 1.36931e+09
0.000624415 1.33262e+09
0.000629458 1.31121e+09
0.00063466 1.28641e+09
0.00063975 1.26694e+09
0.00064489 1.24509e+09
0.000650271 1.229e+09
0.000655619 1.19764e+09
0.000661178 1.17617e+09
0.000666601 1.1566e+09
0.00067198 1.13056e+09
0.000677465 1.12441e+09
0.000682952 1.10855e+09
0.000688602 1.07521e+09
0.000694365 1.06614e+09
0.000699968 1.04549e+09
0.00070566 1.01761e+09
0.000711633 1.00391e+09
0.000717351 9.85653e+08
0.000723301 9.65591e+08
0.000729237 9.53416e+08
0.00073526 9.29044e+08
0.000741287 9.17556e+08
0.000747431 9.00019e+08
0.000753573 8.92001e+08
0.000759705 8.74076e+08
0.000765936 8.53666e+08
0.000772341 8.43497e+08
0.000778615 8.26166e+08
0.000785031 8.13522e+08
0.000791493 7.90172e+08
0.000797999 7.82029e+08
0.000804499 7.63459e+08
0.000811074 7.54551e+08
0.000817707 7.38882e+08
0.000824546 7.24095e+08
0.000831271 7.11047e+08
0.000838002 6.95996e+08
0.000844949 6.86093e+08
0.000851929 6.77723e+08
0.000858954 6.59719e+08
0.000865919 6.51671e+08
0.000873072 6.37883e+08
0.000880195 6.28147e+08
0.000887393 6.11059e+08
0.000894783 6.05005e+08
0.000902097 5.90773e+08
0.00090951 5.81776e+08
0.000916929 5.71774e+08
0.000924423 5.58431e+08
0.00093206 5.47493e+08
0.000939669 5.38706e+08
0.000947384 5.30123e+08
0.000955222 5.21844e+08
0.000963012 5.12325e+08
0.00097096 5.01767e+08
0.000978975 4.93311e+08
0.000986946 4.78931e+08
0.000995044 4.74621e+08
0.00100317 4.64938e+08
0.00101134 4.57545e+08
0.00101966 4.51025e+08
0.00102811 4.39769e+08
0.0010366 4.31112e+08
0.00104515 4.23127e+08
0.00105367 4.16364e+08
0.0010623 4.03881e+08
0.00107099 4.01244e+08
0.00107984 3.9238e+08
0.00108877 3.86842e+08
0.00109754 3.78949e+08
0.00110658 3.72534e+08
0.00111585 3.64428e+08
0.001125 3.56563e+08
0.00113422 3.50794e+08
0.00114355 3.43366e+08
0.00115284 3.35707e+08
0.0011623 3.31356e+08
0.00117183 3.24411e+08
0.00118147 3.18295e+08
0.00119124 3.13456e+08
0.00120099 3.10076e+08
0.00121082 3.02493e+08
0.00122077 2.96879e+08
0.00123083 2.9076e+08
0.00124092 2.84743e+08
0.00125109 2.77899e+08
0.00126141 2.73188e+08
0.00127177 2.70397e+08
0.00128216 2.64893e+08
0.00129272 2.59256e+08
0.00130337 2.53762e+08
0.00131407 2.49401e+08
0.00132486 2.45008e+08
0.00133574 2.39192e+08
0.00134668 2.35427e+08
0.0013577 2.3074e+08
0.0013688 2.26704e+08
0.00138009 2.23201e+08
0.00139144 2.16412e+08
0.00140285 2.13428e+08
0.00141438 2.10013e+08
0.0014259 2.06005e+08
0.00143763 2.01685e+08
0.00144946 1.99296e+08
0.00146138 1.94968e+08
0.00147343 1.90133e+08
0.00148553 1.86504e+08
0.00149773 1.82912e+08
0.00150998 1.80288e+08
0.00152238 1.76567e+08
0.00153493 1.72707e+08
0.00154754 1.70436e+08
0.0015602 1.6658e+08
0.00157297 1.6396e+08
0.00158593 1.59909e+08
0.00159901 1.56656e+08
0.00161212 1.53345e+08
0.00162533 1.51185e+08
0.00163867 1.47207e+08
0.00165213 1.45476e+08
0.00166568 1.4264e+08
0.00167936 1.39573e+08
0.00169314 1.36787e+08
0.00170706 1.34069e+08
0.00172108 1.31705e+08
0.00173519 1.29214e+08
0.00174947 1.26534e+08
0.00176388 1.24141e+08
0.00177833 1.21824e+08
0.00179289 1.19509e+08
0.00180762 1.16932e+08
0.0018225 1.1475e+08
0.00183749 1.12751e+08
0.00185259 1.10335e+08
0.00186776 1.07693e+08
0.00188308 1.05856e+08
0.00189858 1.04006e+08
0.00191415 1.02005e+08
0.00192986 9.97331e+07
0.00194568 9.81899e+07
0.00196164 9.60841e+07
0.00197781 9.43261e+07
0.00199407 9.25131e+07
0.00201041 9.06146e+07
0.0020269 8.9015e+07
0.00204357 8.69688e+07
0.00206031 8.54178e+07
0.00207723 8.35287e+07
0.00209433 8.21537e+07
0.00211151 8.04377e+07
0.00212883 7.88654e+07
0.00214631 7.72183e+07
0.00216395 7.57493e+07
0.00218171 7.43595e+07
0.00219964 7.29873e+07
0.0022177 7.12884e+07
0.00223591 6.99636e+07
0.00225426 6.86017e+07
0.00227273 6.71594e+07
0.00229144 6.60476e+07
0.00231024 6.48205e+07
0.00232919 6.33228e+07
0.00234835 6.22211e+07
0.00236765 6.09553e+07
0.00238708 5.97194e+07
0.00240668 5.85425e+07
0.00242645 5.74378e+07
0.00244635 5.6171e+07
0.00246642 5.50299e+07
0.00248668 5.40941e+07
0.00250712 5.3014e+07
0.0025277 5.20209e+07
0.00254846 5.09723e+07
0.00256938 4.99162e+07
0.00259045 4.89007e+07
0.00261172 4.8057e+07
0.00263319 4.70476e+07
0.00265482 4.61228e+07
0.0026766 4.51163e+07
0.00269857 4.43943e+07
0.00272074 4.33618e+07
0.00274311 4.26725e+07
0.00276562 4.17998e+07
0.00278831 4.09718e+07
0.00281122 4.01325e+07
0.00283428 3.93814e+07
0.00285753 3.84802e+07
0.00288102 3.78198e+07
0.00290469 3.7118e+07
0.00292852 3.63514e+07
0.00295255 3.56205e+07
0.00297682 3.48448e+07
0.00300132 3.41438e+07
0.00302595 3.35865e+07
0.00305077 3.28312e+07
0.00307582 3.21175e+07
0.00310109 3.1545e+07
0.00312652 3.08675e+07
0.00315219 3.02355e+07
0.00317808 2.9694e+07
0.00320418 2.89512e+07
0.00323049 2.83834e+07
0.003257 2.78396e+07
0.00328375 2.73024e+07
0.00331073 2.67063e+07
0.00333793 2.61207e+07
0.00336532 2.55906e+07
0.00339295 2.51158e+07
0.00342081 2.4565e+07
0.0034489 2.4064e+07
0.00347724 2.35208e+07
0.00350579 2.30604e+07
0.00353457 2.26071e+07
0.00356356 2.21368e+07
0.0035928 2.16255e+07
0.0036223 2.12001e+07
0.00365206 2.07989e+07
0.00368208 2.03414e+07
0.00371232 1.99259e+07
0.0037428 1.95472e+07
0.00377353 1.91195e+07
0.00380451 1.87157e+07
0.00383574 1.83675e+07
0.00386724 1.79631e+07
0.00389899 1.76023e+07
0.003931 1.72463e+07
0.0039633 1.69015e+07
0.00399584 1.65486e+07
0.00402865 1.62181e+07
0.00406173 1.59119e+07
0.00409507 1.56049e+07
0.00412871 1.52899e+07
0.00416262 1.49873e+07
0.0041968 1.46821e+07
0.00423127 1.43759e+07
0.004266 1.41157e+07
0.00430101 1.38273e+07
0.00433633 1.35766e+07
0.00437195 1.32953e+07
0.00440786 1.30506e+07
0.00444405 1.27811e+07
0.00448053 1.2564e+07
0.00451731 1.23128e+07
0.0045544 1.21018e+07
0.00459181 1.18808e+07
0.00462953 1.16631e+07
0.00466752 1.14707e+07
0.00470583 1.12536e+07
0.00474448 1.10674e+07
0.00478347 1.08578e+07
0.00482275 1.06853e+07
0.00486234 1.05128e+07
0.00490225 1.03346e+07
0.0049425 1.01812e+07
0.0049831 1.00267e+07
0.00502401 9.89094e+06
0.00506526 9.73418e+06
0.00510687 9.58841e+06
0.00514879 9.46034e+06
0.00519107 9.34409e+06
0.0052337 9.23133e+06
0.00527667 9.12083e+06
0.00532001 9.01909e+06
0.00536367 8.93351e+06
0.00540771 8.84899e+06
0.00545214 8.76752e+06
0.0054969 8.70211e+06
0.00554203 8.63968e+06
0.00558753 8.58391e+06
0.00563342 8.54331e+06
0.00567967 8.50732e+06
0.00572631 8.48355e+06
0.00577334 8.47302e+06
0.00582073 8.47161e+06
0.00586853 8.48129e+06
0.00591672 8.48849e+06
0.0059653 8.52973e+06
0.00601426 8.57191e+06
0.00606365 8.62092e+06
0.00611346 8.70353e+06
0.00616366 8.7944e+06
0.00621427 8.89569e+06
0.00626529 9.01229e+06
0.00631673 9.15289e+06
0.00636859 9.3088e+06
0.00642088 9.5002e+06
0.00647362 9.69099e+06
0.00652677 9.90179e+06
0.00658036 1.01838e+07
0.0066344 1.0438e+07
0.00668886 1.0757e+07
0.00674379 1.10892e+07
0.00679918 1.14799e+07
0.00685501 1.18974e+07
0.00691131 1.23467e+07
0.00696806 1.28217e+07
0.00702526 1.33772e+07
0.00708294 1.39688e+07
0.00714111 1.46371e+07
0.00719973 1.53245e+07
0.00725885 1.61299e+07
0.00731846 1.69714e+07
0.00737856 1.78715e+07
0.00743915 1.88892e+07
0.00750022 1.99997e+07
0.0075618 2.11726e+07
0.0076239 2.25129e+07
0.00768649 2.39468e+07
0.00774961 2.55027e+07
0.00781325 2.72236e+07
0.00787742 2.91022e+07
0.0079421 3.1087e+07
0.0080073 3.33023e+07
0.00807306 3.57981e+07
0.00813935 3.83179e+07
0.00820618 4.12878e+07
0.00827356 4.42743e+07
0.0083415 4.78213e+07
0.00840998 5.13208e+07
0.00847904 5.55299e+07
0.00854867 5.99822e+07
0.00861886 6.42607e+07
0.00868963 6.9235e+07
0.00876099 7.51686e+07
0.00883292 8.08996e+07
0.00890544 8.6935e+07
0.00897858 9.33973e+07
0.00905231 1.00321e+08
0.00912663 1.07758e+08
0.00920156 1.14837e+08
0.00927713 1.22548e+08
0.0093533 1.31426e+08
0.0094301 1.38771e+08
0.00950753 1.46669e+08
0.0095856 1.54473e+08
0.00966431 1.59674e+08
0.00974367 1.65989e+08
0.00982367 1.71383e+08
0.00990433 1.76239e+08
0.00998566 1.77252e+08
0.0100677 1.82954e+08
0.0101503 1.8448e+08
0.0102337 1.84268e+08
0.0103177 1.845e+08
0.0104024 1.84934e+08
0.0104878 1.84864e+08
0.010574 1.84542e+08
0.0106608 1.84446e+08
0.0107483 1.84297e+08
0.0108366 1.84874e+08
0.0109256 1.8601e+08
0.0110152 1.83563e+08
0.0111055 6.6894e+07
0.0111967 2.65239e+07
0.0112886 1.73071e+07
0.0113813 1.4135e+07
0.0114748 1.30409e+07
0.011569 1.28782e+07
0.011664 1.324e+07
0.0117598 1.39692e+07
0.0118563 1.50159e+07
0.0119537 1.63582e+07
0.0120518 1.79909e+07
0.0121508 1.9944e+07
0.0122505 2.22593e+07
0.0123511 2.49789e+07
0.0124525 2.8192e+07
0.0125548 3.19626e+07
0.0126579 3.63192e+07
0.0127618 4.14663e+07
0.0128666 4.73958e+07
0.0129722 5.43808e+07
0.0130787 6.25759e+07
0.0131861 7.20066e+07
0.0132944 8.31737e+07
0.0134035 9.58949e+07
0.0135136 1.10913e+08
0.0136245 1.2794e+08
0.0137363 1.47816e+08
0.0138491 1.70716e+08
0.0139628 1.96809e+08
0.0140774 2.26037e+08
0.014193 2.598e+08
0.0143095 2.95777e+08
0.014427 3.35907e+08
0.0145454 3.76799e+08
0.0146648 4.18059e+08
0.0147852 4.5781e+08
0.0149065 4.87923e+08
0.0150288 5.05674e+08
0.0151522 5.02049e+08
0.0152765 4.6463e+08
0.0154018 3.86932e+08
0.0155281 2.48202e+08
0.0156556 9.3218e+07
0.0157843 7.24021e+07
0.0159139 8.24404e+07
0.0160445 1.00256e+08
0.0161763 1.25145e+08
0.0163091 1.57963e+08
0.0164429 2.01402e+08
0.0165779 2.58264e+08
0.0167139 3.33067e+08
0.0168511 4.31503e+08
0.0169894 5.61686e+08
0.0171288 7.33313e+08
0.0172693 9.58203e+08
0.0174109 1.25651e+09
0.0175537 1.64637e+09
0.0176976 2.14833e+09
0.0178426 2.8017e+09
0.0179887 3.63831e+09
0.018136 4.66583e+09
0.0182842 5.91578e+09
0.0184332 7.38322e+09
0.0185832 9.09126e+09
0.0187336 1.08294e+10
0.0188802 1.26141e+10
0.0190113 1.46508e+10
0.0191299 2.35652e+10