# k P_nu(k)
# a = 0.787941
# nbins = 695
1.22718e-05 3.45459e+12
1.7355e-05 2.19535e+12
2.12555e-05 1.52104e+12
2.45437e-05 1.08726e+12
2.74407e-05 8.18818e+11
3.00598e-05 6.43122e+11
3.471e-05 4.43199e+11
3.68155e-05 3.48771e+11
3.8807e-05 2.77545e+11
4.07011e-05 2.54733e+11
4.25109e-05 2.14214e+11
4.42468e-05 1.97358e+11
4.5917e-05 1.62915e+11
4.90874e-05 1.4901e+11
5.05981e-05 1.28292e+11
5.2065e-05 1.25247e+11
5.34917e-05 1.02833e+11
5.48814e-05 9.88325e+10
5.62367e-05 9.32408e+10
5.75601e-05 9.31912e+10
6.01195e-05 7.04403e+10
6.13592e-05 7.1053e+10
6.25744e-05 6.34047e+10
6.37664e-05 5.98113e+10
6.60859e-05 5.46555e+10
6.72157e-05 5.08952e+10
6.942e-05 5.28986e+10
7.04964e-05 4.46779e+10
7.15565e-05 3.65627e+10
7.26012e-05 4.13653e+10
7.36311e-05 3.68165e+10
7.46467e-05 2.93217e+10
7.56487e-05 3.40372e+10
7.7614e-05 2.63107e+10
7.85782e-05 2.78888e+10
7.95307e-05 2.41651e+10
8.04719e-05 2.08613e+10
8.14022e-05 2.32389e+10
8.2322e-05 1.9534e+10
8.32317e-05 2.0302e+10
8.50218e-05 1.79749e+10
8.59029e-05 1.82764e+10
8.67751e-05 1.69343e+10
8.76385e-05 1.53152e+10
8.84935e-05 1.98973e+10
8.93404e-05 1.673e+10
9.01793e-05 1.468e+10
9.18341e-05 1.48184e+10
9.26504e-05 1.17473e+10
9.34596e-05 1.28198e+10
9.42618e-05 1.10144e+10
9.58462e-05 1.06822e+10
9.66286e-05 1.01351e+10
9.81748e-05 9.88174e+09
9.89388e-05 1.012e+10
9.9697e-05 9.06069e+09
0.000100947 7.52665e+09
0.000101938 9.18001e+09
0.000102674 8.61323e+09
0.00010413 8.65736e+09
0.000104851 8.13626e+09
0.000105793 7.17103e+09
0.000106983 6.56016e+09
0.000107685 7.42049e+09
0.000108382 7.61853e+09
0.000109763 5.57624e+09
0.000110447 6.51131e+09
0.000111126 5.35447e+09
0.00011207 5.92352e+09
0.000113141 4.9687e+09
0.000113804 5.79049e+09
0.00011512 4.81717e+09
0.000115772 5.24577e+09
0.000116605 4.94994e+09
0.000118768 4.65136e+09
0.000120655 4.8636e+09
0.000121732 4.11419e+09
0.000122718 4.13026e+09
0.000123466 3.99885e+09
0.000125149 3.29843e+09
0.000125749 3.93137e+09
0.000126644 3.73183e+09
0.000127941 3.4201e+09
0.000128708 3.94327e+09
0.000130739 2.83321e+09
0.000131943 2.9971e+09
0.000132953 3.2343e+09
0.000134431 2.9294e+09
0.000135328 2.87951e+09
0.000136101 2.25105e+09
0.000137477 2.37767e+09
0.00013884 1.68369e+09
0.000139516 2.44492e+09
0.000140611 2.26776e+09
0.000141939 2.10817e+09
0.000143463 1.74597e+09
0.000144385 2.12565e+09
0.000145548 1.83998e+09
0.000146631 1.59905e+09
0.000148112 1.76703e+09
0.00014952 1.58968e+09
0.000150299 1.53782e+09
0.000151832 1.33117e+09
0.000152783 1.5317e+09
0.000154045 1.51547e+09
0.000155658 1.23287e+09
0.00015665 1.29259e+09
0.0001579 1.11338e+09
0.000159354 1.19975e+09
0.000160279 1.29052e+09
0.000161626 1.11356e+09
0.000163463 1.14839e+09
0.000164644 1.08949e+09
0.000165783 9.98138e+08
0.000167197 1.00485e+09
0.000168799 9.38748e+08
0.000170423 1.00966e+09
0.000171157 8.56137e+08
0.000172744 8.02294e+08
0.000174349 7.75767e+08
0.00017592 7.41859e+08
0.000177497 6.98368e+08
0.000178723 7.34551e+08
0.000180282 7.09757e+08
0.000181376 7.02501e+08
0.000182743 6.17344e+08
0.000184551 6.36539e+08
0.000185977 6.15308e+08
0.000187589 5.72817e+08
0.000188953 5.36637e+08
0.000190863 5.55281e+08
0.000192158 5.32307e+08
0.000193916 5.24754e+08
0.000195504 4.75127e+08
0.000197181 4.97494e+08
0.000198613 4.23167e+08
0.000200148 4.17472e+08
0.000201721 3.9088e+08
0.000203587 4.12009e+08
0.00020541 3.67196e+08
0.000207172 3.57144e+08
0.000208922 3.92524e+08
0.000210371 3.55924e+08
0.000212078 3.2356e+08
0.000214191 2.9003e+08
0.000215596 3.1345e+08
0.00021743 2.60902e+08
0.000219259 2.68097e+08
0.000221084 2.51655e+08
0.00022283 2.28718e+08
0.000224493 2.35986e+08
0.000226376 2.23406e+08
0.000228421 2.13153e+08
0.000230288 2.18413e+08
0.000231928 1.90991e+08
0.00023399 1.89128e+08
0.000236053 1.68233e+08
0.000237805 1.83057e+08
0.000239779 1.62506e+08
0.000241744 1.72562e+08
0.000243673 1.49511e+08
0.000245757 1.53952e+08
0.000247871 1.48484e+08
0.00024984 1.43363e+08
0.000251597 1.38257e+08
0.000253565 1.35022e+08
0.000256 1.37962e+08
0.000258364 1.22604e+08
0.000260499 1.30139e+08
0.000262417 1.23815e+08
0.000264367 1.11027e+08
0.000266592 9.7966e+07
0.000268987 9.25916e+07
0.000271108 9.99217e+07
0.000273349 9.16273e+07
0.000275546 9.19733e+07
0.000277706 8.17e+07
0.000280204 7.88362e+07
0.000282696 8.3405e+07
0.000284955 8.2702e+07
0.000287036 7.29696e+07
0.000289296 7.04886e+07
0.000291909 6.79824e+07
0.000294404 6.46208e+07
0.000296654 6.55848e+07
0.000299082 6.55833e+07
0.000301403 6.33659e+07
0.000303861 5.67856e+07
0.000306413 5.24357e+07
0.000308749 5.18928e+07
0.000311525 5.18404e+07
0.000313955 4.68842e+07
0.000316471 4.70236e+07
0.000319321 4.6908e+07
0.000322008 4.15266e+07
0.000324666 4.00272e+07
0.00032719 3.89897e+07
0.000329929 3.83221e+07
0.000332507 3.56334e+07
0.000335216 3.62918e+07
0.000337986 3.32179e+07
0.000340927 3.24006e+07
0.000343668 3.10582e+07
0.000346605 3.03559e+07
0.000349164 2.8737e+07
0.000352165 2.75804e+07
0.000355188 2.67224e+07
0.000358008 2.54184e+07
0.000361098 2.35765e+07
0.000363971 2.38326e+07
0.00036707 2.26503e+07
0.000369977 2.12971e+07
0.000373107 2.06594e+07
0.000376085 2.19104e+07
0.000379074 1.94658e+07
0.000382228 1.92403e+07
0.00038541 1.82558e+07
0.000388542 1.77742e+07
0.000391757 1.63073e+07
0.000394981 1.58712e+07
0.000398111 1.54931e+07
0.000401474 1.48846e+07
0.000404717 1.45361e+07
0.000407935 1.39034e+07
0.000411525 1.31783e+07
0.000414686 1.22777e+07
0.000418155 1.21841e+07
0.00042175 1.14358e+07
0.000425291 1.10386e+07
0.000428636 1.06347e+07
0.000432208 9.93827e+06
0.0004357 9.98485e+06
0.000439332 9.58155e+06
0.000442787 9.21364e+06
0.000446449 9.13719e+06
0.000450291 8.37535e+06
0.000453801 8.48842e+06
0.000457447 7.90254e+06
0.000461323 7.63866e+06
0.000465014 7.27135e+06
0.000468866 6.99328e+06
0.000472806 6.904e+06
0.00047678 6.57973e+06
0.000480624 6.29325e+06
0.000484555 6.13085e+06
0.000488474 6.01819e+06
0.000492396 5.53483e+06
0.000496538 5.38918e+06
0.000500678 5.21291e+06
0.000504761 5.04341e+06
0.000508767 4.63855e+06
0.000512959 4.57386e+06
0.000517253 4.34351e+06
0.000521544 4.2351e+06
0.000525774 4.08639e+06
0.000530168 3.9322e+06
0.000534431 3.8561e+06
0.00053878 3.69866e+06
0.000543223 3.5391e+06
0.000547788 3.43147e+06
0.000552163 3.25629e+06
0.000556755 3.09271e+06
0.000561463 3.05493e+06
0.000566064 2.85003e+06
0.000570587 2.76494e+06
0.000575277 2.63881e+06
0.000580056 2.6052e+06
0.000584753 2.46382e+06
0.000589576 2.37863e+06
0.000594327 2.34927e+06
0.000599226 2.27148e+06
0.000604166 2.10786e+06
0.000609275 2.05627e+06
0.000614265 1.94296e+06
0.000619191 1.90258e+06
0.000624415 1.83877e+06
0.000629458 1.74667e+06
0.00063466 1.73083e+06
0.00063975 1.61348e+06
0.00064489 1.54215e+06
0.000650271 1.53508e+06
0.000655619 1.46532e+06
0.000661178 1.3755e+06
0.000666601 1.32152e+06
0.00067198 1.30585e+06
0.000677465 1.2389e+06
0.000682952 1.18068e+06
0.000688602 1.14977e+06
0.000694365 1.09277e+06
0.000699968 1.05255e+06
0.00070566 1.0222e+06
0.000711633 988990
0.000717351 955123
0.000723301 919115
0.000729237 856290
0.00073526 827354
0.000741287 807230
0.000747431 774335
0.000753573 752817
0.000759705 723680
0.000765936 695964
0.000772341 670129
0.000778615 648583
0.000785031 617964
0.000791493 596584
0.000797999 565776
0.000804499 557627
0.000811074 535925
0.000817707 514255
0.000824546 494036
0.000831271 476175
0.000838002 456464
0.000844949 430139
0.000851929 424379
0.000858954 403023
0.000865919 392062
0.000873072 378245
0.000880195 366685
0.000887393 345327
0.000894783 332086
0.000902097 323002
0.00090951 305142
0.000916929 301563
0.000924423 287795
0.00093206 278003
0.000939669 265967
0.000947384 255075
0.000955222 245079
0.000963012 238463
0.00097096 228630
0.000978975 217822
0.000986946 211051
0.000995044 202523
0.00100317 195729
0.00101134 186628
0.00101966 181177
0.00102811 173720
0.0010366 166033
0.00104515 161114
0.00105367 153192
0.0010623 148696
0.00107099 143050
0.00107984 137409
0.00108877 131949
0.00109754 126854
0.00110658 122287
0.00111585 116520
0.001125 113266
0.00113422 108301
0.00114355 105021
0.00115284 100427
0.0011623 96714.9
0.00117183 92821
0.00118147 89608.2
0.00119124 85948.5
0.00120099 82463.4
0.00121082 78889.6
0.00122077 76316.2
0.00123083 73401
0.00124092 70422.5
0.00125109 67539.3
0.00126141 64772.5
0.00127177 62754
0.00128216 60285.4
0.00129272 57604.9
0.00130337 55610
0.00131407 53388.5
0.00132486 51231.4
0.00133574 49449.5
0.00134668 47282.5
0.0013577 45218
0.0013688 43748.9
0.00138009 42250.4
0.00139144 40338.7
0.00140285 38889.1
0.00141438 37066.1
0.0014259 35485.4
0.00143763 34177.6
0.00144946 33108.6
0.00146138 31613.8
0.00147343 30466.7
0.00148553 29116.2
0.00149773 27886.2
0.00150998 26935.2
0.00152238 25766.8
0.00153493 24721.1
0.00154754 23750
0.0015602 22875.3
0.00157297 21927.5
0.00158593 20871.9
0.00159901 20165.5
0.00161212 19350.7
0.00162533 18645.3
0.00163867 17829.5
0.00165213 17055.1
0.00166568 16441.7
0.00167936 15742.3
0.00169314 15059.8
0.00170706 14426.3
0.00172108 13882.7
0.00173519 13271.5
0.00174947 12774.4
0.00176388 12265.9
0.00177833 11718
0.00179289 11264.9
0.00180762 10823.9
0.0018225 10361.5
0.00183749 9918.89
0.00185259 9485.14
0.00186776 9075.92
0.00188308 8749.31
0.00189858 8370.29
0.00191415 8088.89
0.00192986 7693.31
0.00194568 7372.71
0.00196164 7070.77
0.00197781 6769.39
0.00199407 6492.82
0.00201041 6219.8
0.0020269 5974.94
0.00204357 5719.6
0.00206031 5466.02
0.00207723 5239.49
0.00209433 5028.41
0.00211151 4822.34
0.00212883 4601.05
0.00214631 4403.34
0.00216395 4212.39
0.00218171 4036.13
0.00219964 3872.94
0.0022177 3706.04
0.00223591 3551.74
0.00225426 3398
0.00227273 3249.34
0.00229144 3115.63
0.00231024 2985.73
0.00232919 2851.71
0.00234835 2727.52
0.00236765 2611.2
0.00238708 2499.47
0.00240668 2392.18
0.00242645 2288.7
0.00244635 2188.58
0.00246642 2097.77
0.00248668 2008.44
0.00250712 1911.79
0.0025277 1832.19
0.00254846 1755.09
0.00256938 1681.13
0.00259045 1606.19
0.00261172 1535.61
0.00263319 1468.09
0.00265482 1404.74
0.0026766 1346.06
0.00269857 1286.93
0.00272074 1227.36
0.00274311 1177
0.00276562 1122.66
0.00278831 1074.57
0.00281122 1028.53
0.00283428 983.188
0.00285753 937.083
0.00288102 897.919
0.00290469 857.331
0.00292852 819.989
0.00295255 782.999
0.00297682 750.104
0.00300132 715.192
0.00302595 682.726
0.00305077 653.157
0.00307582 624.557
0.00310109 596.025
0.00312652 569.418
0.00315219 543.983
0.00317808 520.794
0.00320418 496.308
0.00323049 474.201
0.003257 453.672
0.00328375 432.985
0.00331073 414.444
0.00333793 395.272
0.00336532 377.225
0.00339295 360.516
0.00342081 344.673
0.0034489 328.44
0.00347724 314.557
0.00350579 299.585
0.00353457 286.503
0.00356356 273.602
0.0035928 261.063
0.0036223 249.438
0.00365206 237.725
0.00368208 227.595
0.00371232 216.908
0.0037428 207.342
0.00377353 197.819
0.00380451 188.979
0.00383574 180.387
0.00386724 172.184
0.00389899 164.574
0.003931 156.706
0.0039633 149.644
0.00399584 143.076
0.00402865 136.41
0.00406173 130.243
0.00409507 124.255
0.00412871 118.615
0.00416262 113.354
0.0041968 108.099
0.00423127 103.149
0.004266 98.3789
0.00430101 93.9496
0.00433633 89.712
0.00437195 85.5135
0.00440786 81.4725
0.00444405 77.7411
0.00448053 74.1608
0.00451731 70.8852
0.0045544 67.5394
0.00459181 64.4538
0.00462953 61.5315
0.00466752 58.6437
0.00470583 55.9265
0.00474448 53.3621
0.00478347 50.886
0.00482275 48.559
0.00486234 46.3017
0.00490225 44.1805
0.0049425 42.1241
0.0049831 40.1896
0.00502401 38.295
0.00506526 36.516
0.00510687 34.8582
0.00514879 33.207
0.00519107 31.6782
0.0052337 30.2423
0.00527667 28.8211
0.00532001 27.4923
0.00536367 26.2099
0.00540771 24.9936
0.00545214 23.8625
0.0054969 22.7312
0.00554203 21.6641
0.00558753 20.66
0.00563342 19.6878
0.00567967 18.7605
0.00572631 17.9007
0.00577334 17.0701
0.00582073 16.2638
0.00586853 15.5156
0.00591672 14.7964
0.0059653 14.0859
0.00601426 13.4394
0.00606365 12.8078
0.00611346 12.2173
0.00616366 11.6399
0.00621427 11.1019
0.00626529 10.5829
0.00631673 10.0887
0.00636859 9.6076
0.00642088 9.16237
0.00647362 8.72788
0.00652677 8.31757
0.00658036 7.93135
0.0066344 7.55658
0.00668886 7.20167
0.00674379 6.86914
0.00679918 6.54803
0.00685501 6.2339
0.00691131 5.94598
0.00696806 5.66559
0.00702526 5.40078
0.00708294 5.14541
0.00714111 4.90112
0.00719973 4.67266
0.00725885 4.45389
0.00731846 4.2458
0.00737856 4.04507
0.00743915 3.85356
0.00750022 3.67225
0.0075618 3.50099
0.0076239 3.33813
0.00768649 3.18143
0.00774961 3.03241
0.00781325 2.88821
0.00787742 2.75234
0.0079421 2.62569
0.0080073 2.50282
0.00807306 2.38525
0.00813935 2.27295
0.00820618 2.16767
0.00827356 2.06702
0.0083415 1.97117
0.00840998 1.87928
0.00847904 1.79213
0.00854867 1.70945
0.00861886 1.63007
0.00868963 1.55537
0.00876099 1.48359
0.00883292 1.41569
0.00890544 1.35029
0.00897858 1.28918
0.00905231 1.23037
0.00912663 1.17516
0.00920156 1.12167
0.00927713 1.07188
0.0093533 1.02383
0.0094301 0.978241
0.00950753 0.935406
0.0095856 0.894339
0.00966431 0.855458
0.00974367 0.818539
0.00982367 0.783989
0.00990433 0.750906
0.00998566 0.719624
0.0100677 0.689836
0.0101503 0.661743
0.0102337 0.6353
0.0103177 0.610553
0.0104024 0.58718
0.0104878 0.564742
0.010574 0.543942
0.0106608 0.524066
0.0107483 0.505902
0.0108366 0.488863
0.0109256 0.472775
0.0110152 0.457778
0.0111055 0.439552
0.0111967 0.420094
0.0112886 0.401723
0.0113813 0.383981
0.0114748 0.367341
0.011569 0.351361
0.011664 0.336239
0.0117598 0.32167
0.0118563 0.308018
0.0119537 0.294825
0.0120518 0.282396
0.0121508 0.270579
0.0122505 0.259329
0.0123511 0.248577
0.0124525 0.238439
0.0125548 0.228812
0.0126579 0.219611
0.0127618 0.210869
0.0128666 0.202701
0.0129722 0.194861
0.0130787 0.187403
0.0131861 0.18036
0.0132944 0.173723
0.0134035 0.167476
0.0135136 0.161543
0.0136245 0.155998
0.0137363 0.150741
0.0138491 0.145844
0.0139628 0.141228
0.0140774 0.136933
0.014193 0.132925
0.0143095 0.129207
0.014427 0.125625
0.0145454 0.122426
0.0146648 0.119301
0.0147852 0.116409
0.0149065 0.11362
0.0150288 0.110886
0.0151522 0.108214
0.0152765 0.105361
0.0154018 0.102132
0.0155281 0.0983476
0.0156556 0.0938726
0.0157843 0.0901948
0.0159139 0.0870498
0.0160445 0.0842373
0.0161763 0.0818239
0.0163091 0.0796538
0.0164429 0.0776967
0.0165779 0.0760182
0.0167139 0.0745448
0.0168511 0.073376
0.0169894 0.0724317
0.0171288 0.07165
0.0172693 0.0712242
0.0174109 0.0709838
0.0175537 0.0712
0.0176976 0.0715016
0.0178426 0.0722324
0.0179887 0.0734674
0.018136 0.07503
0.0182842 0.0769801
0.0184332 0.0795798
0.0185832 0.0826442
0.0187336 0.0859346
0.0188802 0.0903782
0.0190113 0.0949376
0.0191299 0.18903