# k P_nu(k)
# a = 0.0410839
# nbins = 695
1.22718e-05 6.88966e+10
1.7355e-05 7.19716e+10
2.12555e-05 6.95552e+10
2.45437e-05 6.55477e+10
2.74407e-05 6.14191e+10
3.00598e-05 5.75728e+10
3.471e-05 5.1187e+10
3.68155e-05 4.82013e+10
3.8807e-05 4.55756e+10
4.07011e-05 4.38452e+10
4.25109e-05 4.19986e+10
4.42468e-05 4.0694e+10
4.5917e-05 3.91201e+10
4.90874e-05 3.7486e+10
5.05981e-05 3.64936e+10
5.2065e-05 3.59422e+10
5.34917e-05 3.49288e+10
5.48814e-05 3.44445e+10
5.62367e-05 3.39649e+10
5.75601e-05 3.36744e+10
6.01195e-05 3.23336e+10
6.13592e-05 3.20439e+10
6.25744e-05 3.14991e+10
6.37664e-05 3.10533e+10
6.60859e-05 3.02554e+10
6.72157e-05 2.97893e+10
6.942e-05 2.92513e+10
7.04964e-05 2.85233e+10
7.15565e-05 2.77643e+10
7.26012e-05 2.7664e+10
7.36311e-05 2.70151e+10
7.46467e-05 2.62863e+10
7.56487e-05 2.62517e+10
7.7614e-05 2.49463e+10
7.85782e-05 2.47204e+10
7.95307e-05 2.40537e+10
8.04719e-05 2.34467e+10
8.14022e-05 2.32358e+10
8.2322e-05 2.26779e+10
8.32317e-05 2.23626e+10
8.50218e-05 2.16685e+10
8.59029e-05 2.11667e+10
8.67751e-05 2.07406e+10
8.76385e-05 2.0276e+10
8.84935e-05 2.04304e+10
8.93404e-05 1.98501e+10
9.01793e-05 1.93482e+10
9.18341e-05 1.88457e+10
9.26504e-05 1.82965e+10
9.34596e-05 1.81131e+10
9.42618e-05 1.77165e+10
9.58462e-05 1.73037e+10
9.66286e-05 1.70769e+10
9.81748e-05 1.67291e+10
9.89388e-05 1.65063e+10
9.9697e-05 1.62472e+10
0.000100947 1.58568e+10
0.000101938 1.58077e+10
0.000102674 1.56455e+10
0.00010413 1.53793e+10
0.000104851 1.52212e+10
0.000105793 1.50096e+10
0.000106983 1.4824e+10
0.000107685 1.47835e+10
0.000108382 1.47763e+10
0.000109763 1.41475e+10
0.000110447 1.44298e+10
0.000111126 1.41034e+10
0.00011207 1.41154e+10
0.000113141 1.38669e+10
0.000113804 1.40166e+10
0.00011512 1.37293e+10
0.000115772 1.37429e+10
0.000116605 1.35804e+10
0.000118768 1.34324e+10
0.000120655 1.3373e+10
0.000121732 1.31026e+10
0.000122718 1.29186e+10
0.000123466 1.29086e+10
0.000125149 1.26701e+10
0.000125749 1.27373e+10
0.000126644 1.26145e+10
0.000127941 1.23791e+10
0.000128708 1.24404e+10
0.000130739 1.19419e+10
0.000131943 1.18731e+10
0.000132953 1.17672e+10
0.000134431 1.15781e+10
0.000135328 1.15191e+10
0.000136101 1.11519e+10
0.000137477 1.10481e+10
0.00013884 1.05759e+10
0.000139516 1.07903e+10
0.000140611 1.05526e+10
0.000141939 1.03098e+10
0.000143463 9.9975e+09
0.000144385 1.01111e+10
0.000145548 9.77335e+09
0.000146631 9.51882e+09
0.000148112 9.47911e+09
0.00014952 9.19932e+09
0.000150299 9.17447e+09
0.000151832 8.80986e+09
0.000152783 8.85555e+09
0.000154045 8.69278e+09
0.000155658 8.38708e+09
0.00015665 8.33358e+09
0.0001579 8.11701e+09
0.000159354 8.04975e+09
0.000160279 8.03731e+09
0.000161626 7.83594e+09
0.000163463 7.76488e+09
0.000164644 7.63294e+09
0.000165783 7.62556e+09
0.000167197 7.4561e+09
0.000168799 7.41729e+09
0.000170423 7.36577e+09
0.000171157 7.22643e+09
0.000172744 7.15826e+09
0.000174349 7.11592e+09
0.00017592 6.97154e+09
0.000177497 6.92399e+09
0.000178723 6.93481e+09
0.000180282 6.84155e+09
0.000181376 6.80287e+09
0.000182743 6.70947e+09
0.000184551 6.65865e+09
0.000185977 6.60261e+09
0.000187589 6.52509e+09
0.000188953 6.37022e+09
0.000190863 6.34999e+09
0.000192158 6.29128e+09
0.000193916 6.21565e+09
0.000195504 6.05096e+09
0.000197181 6.0015e+09
0.000198613 5.87403e+09
0.000200148 5.76539e+09
0.000201721 5.67355e+09
0.000203587 5.58884e+09
0.00020541 5.45726e+09
0.000207172 5.32983e+09
0.000208922 5.28158e+09
0.000210371 5.1664e+09
0.000212078 5.06935e+09
0.000214191 4.96746e+09
0.000215596 4.93422e+09
0.00021743 4.79129e+09
0.000219259 4.70216e+09
0.000221084 4.60706e+09
0.00022283 4.55253e+09
0.000224493 4.52626e+09
0.000226376 4.38706e+09
0.000228421 4.3703e+09
0.000230288 4.33895e+09
0.000231928 4.26292e+09
0.00023399 4.17222e+09
0.000236053 4.12752e+09
0.000237805 4.12708e+09
0.000239779 4.0325e+09
0.000241744 4.02816e+09
0.000243673 3.95198e+09
0.000245757 3.92759e+09
0.000247871 3.87871e+09
0.00024984 3.84353e+09
0.000251597 3.77883e+09
0.000253565 3.72039e+09
0.000256 3.65834e+09
0.000258364 3.61601e+09
0.000260499 3.56616e+09
0.000262417 3.4792e+09
0.000264367 3.43146e+09
0.000266592 3.35538e+09
0.000268987 3.30394e+09
0.000271108 3.25286e+09
0.000273349 3.18215e+09
0.000275546 3.10734e+09
0.000277706 3.06586e+09
0.000280204 2.9963e+09
0.000282696 2.98176e+09
0.000284955 2.92361e+09
0.000287036 2.85429e+09
0.000289296 2.81515e+09
0.000291909 2.78812e+09
0.000294404 2.75133e+09
0.000296654 2.72438e+09
0.000299082 2.70171e+09
0.000301403 2.64444e+09
0.000303861 2.59924e+09
0.000306413 2.56353e+09
0.000308749 2.52034e+09
0.000311525 2.48999e+09
0.000313955 2.46028e+09
0.000316471 2.42273e+09
0.000319321 2.39837e+09
0.000322008 2.33648e+09
0.000324666 2.29987e+09
0.00032719 2.25455e+09
0.000329929 2.22983e+09
0.000332507 2.19901e+09
0.000335216 2.16348e+09
0.000337986 2.11586e+09
0.000340927 2.06867e+09
0.000343668 2.02951e+09
0.000346605 1.99575e+09
0.000349164 1.97337e+09
0.000352165 1.92331e+09
0.000355188 1.89602e+09
0.000358008 1.88541e+09
0.000361098 1.84543e+09
0.000363971 1.81492e+09
0.00036707 1.77636e+09
0.000369977 1.7656e+09
0.000373107 1.72981e+09
0.000376085 1.70961e+09
0.000379074 1.67689e+09
0.000382228 1.6478e+09
0.00038541 1.63132e+09
0.000388542 1.6029e+09
0.000391757 1.56698e+09
0.000394981 1.55059e+09
0.000398111 1.50659e+09
0.000401474 1.48411e+09
0.000404717 1.46005e+09
0.000407935 1.43957e+09
0.000411525 1.41219e+09
0.000414686 1.40002e+09
0.000418155 1.37543e+09
0.00042175 1.35129e+09
0.000425291 1.31639e+09
0.000428636 1.29696e+09
0.000432208 1.2779e+09
0.0004357 1.26442e+09
0.000439332 1.24108e+09
0.000442787 1.21817e+09
0.000446449 1.19986e+09
0.000450291 1.17662e+09
0.000453801 1.16612e+09
0.000457447 1.13764e+09
0.000461323 1.1204e+09
0.000465014 1.09881e+09
0.000468866 1.0823e+09
0.000472806 1.05909e+09
0.00047678 1.04593e+09
0.000480624 1.02197e+09
0.000484555 1.01255e+09
0.000488474 9.94525e+08
0.000492396 9.73957e+08
0.000496538 9.62237e+08
0.000500678 9.45292e+08
0.000504761 9.29059e+08
0.000508767 9.11869e+08
0.000512959 8.9553e+08
0.000517253 8.82842e+08
0.000521544 8.61547e+08
0.000525774 8.52649e+08
0.000530168 8.35525e+08
0.000534431 8.19265e+08
0.00053878 7.9988e+08
0.000543223 7.8992e+08
0.000547788 7.79407e+08
0.000552163 7.64181e+08
0.000556755 7.51044e+08
0.000561463 7.34149e+08
0.000566064 7.26345e+08
0.000570587 7.1304e+08
0.000575277 6.93296e+08
0.000580056 6.85568e+08
0.000584753 6.79149e+08
0.000589576 6.63215e+08
0.000594327 6.5397e+08
0.000599226 6.39718e+08
0.000604166 6.28135e+08
0.000609275 6.16815e+08
0.000614265 6.07786e+08
0.000619191 5.99628e+08
0.000624415 5.85049e+08
0.000629458 5.75866e+08
0.00063466 5.64994e+08
0.00063975 5.56057e+08
0.00064489 5.46148e+08
0.000650271 5.38253e+08
0.000655619 5.25974e+08
0.000661178 5.16459e+08
0.000666601 5.07434e+08
0.00067198 4.9705e+08
0.000677465 4.92271e+08
0.000682952 4.84382e+08
0.000688602 4.71664e+08
0.000694365 4.66503e+08
0.000699968 4.57953e+08
0.00070566 4.46578e+08
0.000711633 4.39704e+08
0.000717351 4.32045e+08
0.000723301 4.23537e+08
0.000729237 4.17359e+08
0.00073526 4.07885e+08
0.000741287 4.01788e+08
0.000747431 3.94415e+08
0.000753573 3.89328e+08
0.000759705 3.81929e+08
0.000765936 3.73492e+08
0.000772341 3.68313e+08
0.000778615 3.61177e+08
0.000785031 3.55177e+08
0.000791493 3.45993e+08
0.000797999 3.41659e+08
0.000804499 3.34292e+08
0.000811074 3.29616e+08
0.000817707 3.22799e+08
0.000824546 3.16676e+08
0.000831271 3.10721e+08
0.000838002 3.04696e+08
0.000844949 2.99818e+08
0.000851929 2.95824e+08
0.000858954 2.88353e+08
0.000865919 2.84331e+08
0.000873072 2.78519e+08
0.000880195 2.73944e+08
0.000887393 2.67414e+08
0.000894783 2.63787e+08
0.000902097 2.57995e+08
0.00090951 2.54025e+08
0.000916929 2.4939e+08
0.000924423 2.43838e+08
0.00093206 2.39375e+08
0.000939669 2.34995e+08
0.000947384 2.3105e+08
0.000955222 2.27445e+08
0.000963012 2.2322e+08
0.00097096 2.18712e+08
0.000978975 2.14918e+08
0.000986946 2.09329e+08
0.000995044 2.06651e+08
0.00100317 2.02702e+08
0.00101134 1.99331e+08
0.00101966 1.96259e+08
0.00102811 1.91469e+08
0.0010366 1.87844e+08
0.00104515 1.84256e+08
0.00105367 1.81162e+08
0.0010623 1.76332e+08
0.00107099 1.74571e+08
0.00107984 1.70807e+08
0.00108877 1.68159e+08
0.00109754 1.64856e+08
0.00110658 1.61999e+08
0.00111585 1.58512e+08
0.001125 1.55252e+08
0.00113422 1.527e+08
0.00114355 1.49362e+08
0.00115284 1.46126e+08
0.0011623 1.44042e+08
0.00117183 1.41178e+08
0.00118147 1.38382e+08
0.00119124 1.36232e+08
0.00120099 1.34447e+08
0.00121082 1.31412e+08
0.00122077 1.28659e+08
0.00123083 1.26155e+08
0.00124092 1.23713e+08
0.00125109 1.20924e+08
0.00126141 1.18586e+08
0.00127177 1.17161e+08
0.00128216 1.14748e+08
0.00129272 1.12443e+08
0.00130337 1.10114e+08
0.00131407 1.08136e+08
0.00132486 1.06068e+08
0.00133574 1.0383e+08
0.00134668 1.02226e+08
0.0013577 1.00037e+08
0.0013688 9.8126e+07
0.00138009 9.65804e+07
0.00139144 9.39133e+07
0.00140285 9.24547e+07
0.00141438 9.08865e+07
0.0014259 8.91383e+07
0.00143763 8.73428e+07
0.00144946 8.61428e+07
0.00146138 8.4327e+07
0.00147343 8.23154e+07
0.00148553 8.0755e+07
0.00149773 7.91415e+07
0.00150998 7.78602e+07
0.00152238 7.62276e+07
0.00153493 7.47516e+07
0.00154754 7.35542e+07
0.0015602 7.20109e+07
0.00157297 7.07032e+07
0.00158593 6.9021e+07
0.00159901 6.7715e+07
0.00161212 6.63409e+07
0.00162533 6.52381e+07
0.00163867 6.3651e+07
0.00165213 6.28035e+07
0.00166568 6.14975e+07
0.00167936 6.02394e+07
0.00169314 5.90758e+07
0.00170706 5.78548e+07
0.00172108 5.68179e+07
0.00173519 5.57326e+07
0.00174947 5.4528e+07
0.00176388 5.35448e+07
0.00177833 5.25438e+07
0.00179289 5.14486e+07
0.00180762 5.04381e+07
0.0018225 4.94398e+07
0.00183749 4.85362e+07
0.00185259 4.75076e+07
0.00186776 4.64602e+07
0.00188308 4.56142e+07
0.00189858 4.4784e+07
0.00191415 4.39481e+07
0.00192986 4.29981e+07
0.00194568 4.22335e+07
0.00196164 4.13543e+07
0.00197781 4.06064e+07
0.00199407 3.97667e+07
0.00201041 3.9015e+07
0.0020269 3.82976e+07
0.00204357 3.74195e+07
0.00206031 3.67645e+07
0.00207723 3.5973e+07
0.00209433 3.53464e+07
0.00211151 3.45886e+07
0.00212883 3.38867e+07
0.00214631 3.32379e+07
0.00216395 3.25753e+07
0.00218171 3.19581e+07
0.00219964 3.1385e+07
0.0022177 3.07362e+07
0.00223591 3.00816e+07
0.00225426 2.95016e+07
0.00227273 2.88838e+07
0.00229144 2.83796e+07
0.00231024 2.7885e+07
0.00232919 2.72542e+07
0.00234835 2.67679e+07
0.00236765 2.62383e+07
0.00238708 2.56659e+07
0.00240668 2.51886e+07
0.00242645 2.47226e+07
0.00244635 2.41729e+07
0.00246642 2.36823e+07
0.00248668 2.32917e+07
0.00250712 2.28163e+07
0.0025277 2.24267e+07
0.00254846 2.19578e+07
0.00256938 2.15026e+07
0.00259045 2.10644e+07
0.00261172 2.07255e+07
0.00263319 2.02727e+07
0.00265482 1.9879e+07
0.0026766 1.95139e+07
0.00269857 1.91552e+07
0.00272074 1.87408e+07
0.00274311 1.84312e+07
0.00276562 1.8076e+07
0.00278831 1.77092e+07
0.00281122 1.7371e+07
0.00283428 1.70395e+07
0.00285753 1.66697e+07
0.00288102 1.64168e+07
0.00290469 1.61131e+07
0.00292852 1.57846e+07
0.00295255 1.54863e+07
0.00297682 1.51496e+07
0.00300132 1.4867e+07
0.00302595 1.46176e+07
0.00305077 1.43204e+07
0.00307582 1.40097e+07
0.00310109 1.3757e+07
0.00312652 1.34799e+07
0.00315219 1.32003e+07
0.00317808 1.29607e+07
0.00320418 1.26569e+07
0.00323049 1.24273e+07
0.003257 1.21926e+07
0.00328375 1.19421e+07
0.00331073 1.16874e+07
0.00333793 1.14498e+07
0.00336532 1.123e+07
0.00339295 1.1025e+07
0.00342081 1.07989e+07
0.0034489 1.05751e+07
0.00347724 1.03596e+07
0.00350579 1.01561e+07
0.00353457 9.96758e+06
0.00356356 9.77264e+06
0.0035928 9.55778e+06
0.0036223 9.37493e+06
0.00365206 9.2122e+06
0.00368208 9.01987e+06
0.00371232 8.84218e+06
0.0037428 8.68657e+06
0.00377353 8.51636e+06
0.00380451 8.34267e+06
0.00383574 8.18764e+06
0.00386724 8.02635e+06
0.00389899 7.87027e+06
0.003931 7.73329e+06
0.0039633 7.58235e+06
0.00399584 7.43019e+06
0.00402865 7.29946e+06
0.00406173 7.16238e+06
0.00409507 7.04419e+06
0.00412871 6.90461e+06
0.00416262 6.78086e+06
0.0041968 6.65606e+06
0.00423127 6.51579e+06
0.004266 6.41197e+06
0.00430101 6.29331e+06
0.00433633 6.18626e+06
0.00437195 6.07446e+06
0.00440786 5.96552e+06
0.00444405 5.85941e+06
0.00448053 5.75289e+06
0.00451731 5.66005e+06
0.0045544 5.55922e+06
0.00459181 5.46599e+06
0.00462953 5.37898e+06
0.00466752 5.29829e+06
0.00470583 5.20233e+06
0.00474448 5.12553e+06
0.00478347 5.03976e+06
0.00482275 4.96375e+06
0.00486234 4.89004e+06
0.00490225 4.81389e+06
0.0049425 4.7461e+06
0.0049831 4.67885e+06
0.00502401 4.61344e+06
0.00506526 4.554e+06
0.00510687 4.49106e+06
0.00514879 4.43794e+06
0.00519107 4.38544e+06
0.0052337 4.33373e+06
0.00527667 4.28711e+06
0.00532001 4.24497e+06
0.00536367 4.20543e+06
0.00540771 4.17066e+06
0.00545214 4.13112e+06
0.0054969 4.10307e+06
0.00554203 4.07416e+06
0.00558753 4.05659e+06
0.00563342 4.04039e+06
0.00567967 4.02153e+06
0.00572631 4.01414e+06
0.00577334 4.00915e+06
0.00582073 4.00852e+06
0.00586853 4.01313e+06
0.00591672 4.02385e+06
0.0059653 4.04097e+06
0.00601426 4.06528e+06
0.00606365 4.09521e+06
0.00611346 4.13727e+06
0.00616366 4.18125e+06
0.00621427 4.23414e+06
0.00626529 4.29342e+06
0.00631673 4.3658e+06
0.00636859 4.44449e+06
0.00642088 4.54619e+06
0.00647362 4.64721e+06
0.00652677 4.76571e+06
0.00658036 4.90615e+06
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