# k P_nu(k)
# a = 0.545216
# nbins = 695
1.22718e-05 1.6158e+12
1.7355e-05 9.82894e+11
2.12555e-05 6.62856e+11
2.45437e-05 4.67096e+11
2.74407e-05 3.47062e+11
3.00598e-05 2.69064e+11
3.471e-05 1.79953e+11
3.68155e-05 1.42294e+11
3.8807e-05 1.13924e+11
4.07011e-05 1.02431e+11
4.25109e-05 8.63369e+10
4.42468e-05 7.8277e+10
4.5917e-05 6.52404e+10
4.90874e-05 5.76121e+10
5.05981e-05 5.00292e+10
5.2065e-05 4.79295e+10
5.34917e-05 4.01841e+10
5.48814e-05 3.8121e+10
5.62367e-05 3.57237e+10
5.75601e-05 3.50122e+10
6.01195e-05 2.71655e+10
6.13592e-05 2.68083e+10
6.25744e-05 2.41942e+10
6.37664e-05 2.2683e+10
6.60859e-05 2.05247e+10
6.72157e-05 1.91095e+10
6.942e-05 1.91482e+10
7.04964e-05 1.65291e+10
7.15565e-05 1.39696e+10
7.26012e-05 1.5133e+10
7.36311e-05 1.35542e+10
7.46467e-05 1.13138e+10
7.56487e-05 1.25174e+10
7.7614e-05 9.93721e+09
7.85782e-05 1.02733e+10
7.95307e-05 9.04104e+09
8.04719e-05 7.95756e+09
8.14022e-05 8.5089e+09
8.2322e-05 7.42068e+09
8.32317e-05 7.51712e+09
8.50218e-05 6.80695e+09
8.59029e-05 6.64707e+09
8.67751e-05 6.20445e+09
8.76385e-05 5.67149e+09
8.84935e-05 6.90812e+09
8.93404e-05 5.95123e+09
9.01793e-05 5.29011e+09
9.18341e-05 5.22544e+09
9.26504e-05 4.31574e+09
9.34596e-05 4.52506e+09
9.42618e-05 4.01031e+09
9.58462e-05 3.85454e+09
9.66286e-05 3.68853e+09
9.81748e-05 3.59007e+09
9.89388e-05 3.5581e+09
9.9697e-05 3.24472e+09
0.000100947 2.80561e+09
0.000101938 3.18573e+09
0.000102674 3.01683e+09
0.00010413 2.97739e+09
0.000104851 2.80897e+09
0.000105793 2.54225e+09
0.000106983 2.3727e+09
0.000107685 2.55298e+09
0.000108382 2.60508e+09
0.000109763 1.97287e+09
0.000110447 2.2688e+09
0.000111126 1.91551e+09
0.00011207 2.04892e+09
0.000113141 1.77117e+09
0.000113804 2.01111e+09
0.00011512 1.72061e+09
0.000115772 1.8189e+09
0.000116605 1.71324e+09
0.000118768 1.61707e+09
0.000120655 1.66262e+09
0.000121732 1.43069e+09
0.000122718 1.38811e+09
0.000123466 1.37206e+09
0.000125149 1.18216e+09
0.000125749 1.34598e+09
0.000126644 1.27803e+09
0.000127941 1.17101e+09
0.000128708 1.31672e+09
0.000130739 9.9259e+08
0.000131943 1.02923e+09
0.000132953 1.07444e+09
0.000134431 9.84884e+08
0.000135328 9.83397e+08
0.000136101 7.92758e+08
0.000137477 8.2126e+08
0.00013884 6.10605e+08
0.000139516 8.20083e+08
0.000140611 7.61021e+08
0.000141939 7.0225e+08
0.000143463 6.00686e+08
0.000144385 7.14686e+08
0.000145548 6.2168e+08
0.000146631 5.4041e+08
0.000148112 5.943e+08
0.00014952 5.32525e+08
0.000150299 5.29524e+08
0.000151832 4.51013e+08
0.000152783 5.14066e+08
0.000154045 4.99268e+08
0.000155658 4.16626e+08
0.00015665 4.28136e+08
0.0001579 3.73585e+08
0.000159354 3.92683e+08
0.000160279 4.13952e+08
0.000161626 3.61643e+08
0.000163463 3.72685e+08
0.000164644 3.4787e+08
0.000165783 3.32074e+08
0.000167197 3.20999e+08
0.000168799 3.06065e+08
0.000170423 3.21451e+08
0.000171157 2.77243e+08
0.000172744 2.62775e+08
0.000174349 2.55423e+08
0.00017592 2.41361e+08
0.000177497 2.29134e+08
0.000178723 2.38375e+08
0.000180282 2.25975e+08
0.000181376 2.26106e+08
0.000182743 2.01733e+08
0.000184551 2.04683e+08
0.000185977 1.98492e+08
0.000187589 1.87248e+08
0.000188953 1.70146e+08
0.000190863 1.77255e+08
0.000192158 1.7181e+08
0.000193916 1.67695e+08
0.000195504 1.50624e+08
0.000197181 1.56842e+08
0.000198613 1.35832e+08
0.000200148 1.29746e+08
0.000201721 1.24373e+08
0.000203587 1.27853e+08
0.00020541 1.16532e+08
0.000207172 1.10454e+08
0.000208922 1.18433e+08
0.000210371 1.07642e+08
0.000212078 1.00563e+08
0.000214191 9.23828e+07
0.000215596 9.7559e+07
0.00021743 8.20922e+07
0.000219259 8.11865e+07
0.000221084 7.72732e+07
0.00022283 7.17076e+07
0.000224493 7.33657e+07
0.000226376 6.70133e+07
0.000228421 6.59599e+07
0.000230288 6.71973e+07
0.000231928 5.90043e+07
0.00023399 5.78535e+07
0.000236053 5.20912e+07
0.000237805 5.61278e+07
0.000239779 4.9727e+07
0.000241744 5.31273e+07
0.000243673 4.63319e+07
0.000245757 4.74441e+07
0.000247871 4.52384e+07
0.00024984 4.32415e+07
0.000251597 4.23819e+07
0.000253565 4.08072e+07
0.000256 4.04744e+07
0.000258364 3.72879e+07
0.000260499 3.88092e+07
0.000262417 3.60229e+07
0.000264367 3.29754e+07
0.000266592 2.92812e+07
0.000268987 2.72249e+07
0.000271108 2.96259e+07
0.000273349 2.70998e+07
0.000275546 2.64909e+07
0.000277706 2.40585e+07
0.000280204 2.28288e+07
0.000282696 2.41118e+07
0.000284955 2.39027e+07
0.000287036 2.0737e+07
0.000289296 2.02199e+07
0.000291909 2.00219e+07
0.000294404 1.9094e+07
0.000296654 1.89566e+07
0.000299082 1.90058e+07
0.000301403 1.82135e+07
0.000303861 1.62699e+07
0.000306413 1.5441e+07
0.000308749 1.46765e+07
0.000311525 1.45155e+07
0.000313955 1.32509e+07
0.000316471 1.33663e+07
0.000319321 1.3415e+07
0.000322008 1.20301e+07
0.000324666 1.1306e+07
0.00032719 1.10231e+07
0.000329929 1.07212e+07
0.000332507 1.01018e+07
0.000335216 1.03554e+07
0.000337986 9.25729e+06
0.000340927 8.88979e+06
0.000343668 8.72846e+06
0.000346605 8.30996e+06
0.000349164 8.09277e+06
0.000352165 7.54977e+06
0.000355188 7.4157e+06
0.000358008 7.07416e+06
0.000361098 6.46181e+06
0.000363971 6.57781e+06
0.00036707 6.00429e+06
0.000369977 5.85502e+06
0.000373107 5.67504e+06
0.000376085 5.8864e+06
0.000379074 5.38823e+06
0.000382228 5.2094e+06
0.00038541 4.86623e+06
0.000388542 4.69781e+06
0.000391757 4.46523e+06
0.000394981 4.23815e+06
0.000398111 4.04615e+06
0.000401474 3.87808e+06
0.000404717 3.80718e+06
0.000407935 3.65057e+06
0.000411525 3.53782e+06
0.000414686 3.32315e+06
0.000418155 3.22177e+06
0.00042175 3.01771e+06
0.000425291 2.91975e+06
0.000428636 2.80597e+06
0.000432208 2.60177e+06
0.0004357 2.62428e+06
0.000439332 2.49984e+06
0.000442787 2.39443e+06
0.000446449 2.35576e+06
0.000450291 2.17538e+06
0.000453801 2.1976e+06
0.000457447 2.05076e+06
0.000461323 1.94783e+06
0.000465014 1.88755e+06
0.000468866 1.78403e+06
0.000472806 1.7501e+06
0.00047678 1.6463e+06
0.000480624 1.60421e+06
0.000484555 1.54341e+06
0.000488474 1.51552e+06
0.000492396 1.39218e+06
0.000496538 1.34708e+06
0.000500678 1.305e+06
0.000504761 1.25419e+06
0.000508767 1.17738e+06
0.000512959 1.1641e+06
0.000517253 1.07596e+06
0.000521544 1.03992e+06
0.000525774 1.01511e+06
0.000530168 975008
0.000534431 936031
0.00053878 908511
0.000543223 865278
0.000547788 835711
0.000552163 795249
0.000556755 735789
0.000561463 742659
0.000566064 681477
0.000570587 660436
0.000575277 637296
0.000580056 622747
0.000584753 594016
0.000589576 571557
0.000594327 556238
0.000599226 541573
0.000604166 505174
0.000609275 482151
0.000614265 460955
0.000619191 449687
0.000624415 430811
0.000629458 405052
0.00063466 404360
0.00063975 382415
0.00064489 360264
0.000650271 355364
0.000655619 340767
0.000661178 317484
0.000666601 305928
0.00067198 294360
0.000677465 286050
0.000682952 268907
0.000688602 263120
0.000694365 248146
0.000699968 242447
0.00070566 235236
0.000711633 226385
0.000717351 215250
0.000723301 207660
0.000729237 193594
0.00073526 187831
0.000741287 182060
0.000747431 175452
0.000753573 170524
0.000759705 162921
0.000765936 155387
0.000772341 150384
0.000778615 143338
0.000785031 136488
0.000791493 133970
0.000797999 126537
0.000804499 121412
0.000811074 118031
0.000817707 111946
0.000824546 107458
0.000831271 103786
0.000838002 99513.4
0.000844949 95797.6
0.000851929 92843.2
0.000858954 88910.2
0.000865919 85103.6
0.000873072 81318.7
0.000880195 78586.1
0.000887393 74545.4
0.000894783 71425.3
0.000902097 68582
0.00090951 65440.1
0.000916929 63659.6
0.000924423 61408.1
0.00093206 59326.2
0.000939669 57275.9
0.000947384 54469.4
0.000955222 52406.4
0.000963012 50410.5
0.00097096 48601.7
0.000978975 46980
0.000986946 44461.5
0.000995044 42757.7
0.00100317 41077
0.00101134 39507
0.00101966 37737.8
0.00102811 36612.4
0.0010366 34655.1
0.00104515 33516.6
0.00105367 32462.1
0.0010623 30783.1
0.00107099 29722.9
0.00107984 28650.6
0.00108877 27459.5
0.00109754 26274.1
0.00110658 25489
0.00111585 24187.3
0.001125 23640.8
0.00113422 22387.6
0.00114355 21839.9
0.00115284 20820
0.0011623 19991.8
0.00117183 19188.5
0.00118147 18322.6
0.00119124 17669.8
0.00120099 16886.8
0.00121082 16255.8
0.00122077 15722.2
0.00123083 15077.3
0.00124092 14511.1
0.00125109 13962.3
0.00126141 13417
0.00127177 12825.9
0.00128216 12307.9
0.00129272 11806.2
0.00130337 11379.9
0.00131407 10900.4
0.00132486 10393.5
0.00133574 10042.7
0.00134668 9664.63
0.0013577 9271.54
0.0013688 8975.85
0.00138009 8573.66
0.00139144 8248.89
0.00140285 7904.24
0.00141438 7602.42
0.0014259 7327.24
0.00143763 7030.76
0.00144946 6712.12
0.00146138 6462.67
0.00147343 6168.79
0.00148553 5958.6
0.00149773 5711.53
0.00150998 5455.23
0.00152238 5300.75
0.00153493 5049.91
0.00154754 4865.09
0.0015602 4653.95
0.00157297 4448.39
0.00158593 4305.19
0.00159901 4124.2
0.00161212 3958.09
0.00162533 3824.67
0.00163867 3653.47
0.00165213 3538.26
0.00166568 3346.04
0.00167936 3220.26
0.00169314 3102.2
0.00170706 2970.8
0.00172108 2855.73
0.00173519 2730.96
0.00174947 2622.94
0.00176388 2524.82
0.00177833 2415.19
0.00179289 2333.59
0.00180762 2222.6
0.0018225 2138.8
0.00183749 2053.55
0.00185259 1966.12
0.00186776 1898.68
0.00188308 1812.91
0.00189858 1740.77
0.00191415 1670.82
0.00192986 1601.64
0.00194568 1532.91
0.00196164 1467.21
0.00197781 1415.49
0.00199407 1350.5
0.00201041 1302.5
0.0020269 1243.57
0.00204357 1192.43
0.00206031 1143.99
0.00207723 1099.66
0.00209433 1053.98
0.00211151 1013.2
0.00212883 970.472
0.00214631 928.256
0.00216395 889.571
0.00218171 851.489
0.00219964 820.079
0.0022177 782.342
0.00223591 751.189
0.00225426 718.28
0.00227273 688.576
0.00229144 661.699
0.00231024 633.802
0.00232919 606.423
0.00234835 580.703
0.00236765 558.177
0.00238708 535.176
0.00240668 511.673
0.00242645 491.032
0.00244635 468.877
0.00246642 448.955
0.00248668 431.538
0.00250712 413.142
0.0025277 395.677
0.00254846 377.667
0.00256938 361.322
0.00259045 346.867
0.00261172 332.191
0.00263319 317.469
0.00265482 304.671
0.0026766 291.786
0.00269857 279.383
0.00272074 267.271
0.00274311 255.387
0.00276562 245.013
0.00278831 233.624
0.00281122 224.123
0.00283428 214.722
0.00285753 204.99
0.00288102 196.018
0.00290469 187.857
0.00292852 179.639
0.00295255 171.502
0.00297682 164.443
0.00300132 157.658
0.00302595 150.522
0.00305077 143.888
0.00307582 137.979
0.00310109 131.642
0.00312652 125.963
0.00315219 120.335
0.00317808 115.039
0.00320418 110.006
0.00323049 105.03
0.003257 100.508
0.00328375 96.0856
0.00331073 91.9201
0.00333793 88.0727
0.00336532 84.0365
0.00339295 80.2927
0.00342081 76.814
0.0034489 73.303
0.00347724 70.1846
0.00350579 66.9633
0.00353457 64.0094
0.00356356 61.0893
0.0035928 58.378
0.0036223 55.8252
0.00365206 53.3291
0.00368208 50.9067
0.00371232 48.6195
0.0037428 46.4434
0.00377353 44.4397
0.00380451 42.4271
0.00383574 40.5232
0.00386724 38.6699
0.00389899 36.8806
0.003931 35.283
0.0039633 33.6371
0.00399584 32.1617
0.00402865 30.6837
0.00406173 29.3077
0.00409507 27.9525
0.00412871 26.688
0.00416262 25.4697
0.0041968 24.3617
0.00423127 23.2322
0.004266 22.1705
0.00430101 21.1554
0.00433633 20.2101
0.00437195 19.2586
0.00440786 18.3907
0.00444405 17.5723
0.00448053 16.7503
0.00451731 15.9771
0.0045544 15.2693
0.00459181 14.5329
0.00462953 13.8824
0.00466752 13.2338
0.00470583 12.6308
0.00474448 12.0473
0.00478347 11.5005
0.00482275 10.9526
0.00486234 10.445
0.00490225 9.96633
0.0049425 9.50317
0.0049831 9.06889
0.00502401 8.64602
0.00506526 8.25135
0.00510687 7.86306
0.00514879 7.50518
0.00519107 7.14648
0.0052337 6.82431
0.00527667 6.51023
0.00532001 6.20711
0.00536367 5.91662
0.00540771 5.64219
0.00545214 5.37724
0.0054969 5.12868
0.00554203 4.88761
0.00558753 4.66205
0.00563342 4.44538
0.00567967 4.23738
0.00572631 4.04054
0.00577334 3.8515
0.00582073 3.66998
0.00586853 3.50263
0.00591672 3.3368
0.0059653 3.18208
0.00601426 3.03163
0.00606365 2.89169
0.00611346 2.75592
0.00616366 2.62485
0.00621427 2.50155
0.00626529 2.38671
0.00631673 2.27521
0.00636859 2.16734
0.00642088 2.06595
0.00647362 1.96882
0.00652677 1.87538
0.00658036 1.78833
0.0066344 1.70317
0.00668886 1.62241
0.00674379 1.54708
0.00679918 1.47414
0.00685501 1.40494
0.00691131 1.33917
0.00696806 1.27703
0.00702526 1.21666
0.00708294 1.15905
0.00714111 1.10508
0.00719973 1.05284
0.00725885 1.00262
0.00731846 0.956352
0.00737856 0.911135
0.00743915 0.868113
0.00750022 0.827591
0.0075618 0.78869
0.0076239 0.751198
0.00768649 0.715698
0.00774961 0.682328
0.00781325 0.650319
0.00787742 0.619829
0.0079421 0.591023
0.0080073 0.563592
0.00807306 0.536986
0.00813935 0.511997
0.00820618 0.488181
0.00827356 0.465452
0.0083415 0.444047
0.00840998 0.42322
0.00847904 0.403589
0.00854867 0.384998
0.00861886 0.367163
0.00868963 0.350174
0.00876099 0.334166
0.00883292 0.318884
0.00890544 0.304226
0.00897858 0.290281
0.00905231 0.277385
0.00912663 0.264733
0.00920156 0.252868
0.00927713 0.241526
0.0093533 0.230795
0.0094301 0.220594
0.00950753 0.210965
0.0095856 0.201803
0.00966431 0.193
0.00974367 0.184739
0.00982367 0.176922
0.00990433 0.169528
0.00998566 0.162381
0.0100677 0.155796
0.0101503 0.14946
0.0102337 0.143491
0.0103177 0.137915
0.0104024 0.132607
0.0104878 0.127634
0.010574 0.122963
0.0106608 0.118543
0.0107483 0.114369
0.0108366 0.110488
0.0109256 0.106934
0.0110152 0.103523
0.0111055 0.0994442
0.0111967 0.095082
0.0112886 0.0908824
0.0113813 0.0869101
0.0114748 0.0831385
0.011569 0.0795513
0.011664 0.0761227
0.0117598 0.0728747
0.0118563 0.0697634
0.0119537 0.0668371
0.0120518 0.0640323
0.0121508 0.061369
0.0122505 0.0588223
0.0123511 0.0564204
0.0124525 0.0541159
0.0125548 0.0519641
0.0126579 0.0498851
0.0127618 0.047922
0.0128666 0.0460758
0.0129722 0.0443192
0.0130787 0.0426496
0.0131861 0.0410845
0.0132944 0.0395963
0.0134035 0.0381808
0.0135136 0.0368576
0.0136245 0.0355997
0.0137363 0.0344398
0.0138491 0.0333438
0.0139628 0.0323001
0.0140774 0.0313472
0.014193 0.0304452
0.0143095 0.0295942
0.014427 0.0288046
0.0145454 0.0280715
0.0146648 0.0273821
0.0147852 0.026723
0.0149065 0.0261104
0.0150288 0.0254928
0.0151522 0.0248759
0.0152765 0.0242277
0.0154018 0.023512
0.0155281 0.0226444
0.0156556 0.0216414
0.0157843 0.0208027
0.0159139 0.0201118
0.0160445 0.0194908
0.0161763 0.0189379
0.0163091 0.0184575
0.0164429 0.0180265
0.0165779 0.0176469
0.0167139 0.0173453
0.0168511 0.0170784
0.0169894 0.0169004
0.0171288 0.0167424
0.0172693 0.0166518
0.0174109 0.0165984
0.0175537 0.0166476
0.0176976 0.0167452
0.0178426 0.0169535
0.0179887 0.0172207
0.018136 0.0175529
0.0182842 0.0180099
0.0184332 0.0185917
0.0185832 0.0193859
0.0187336 0.0203304
0.0188802 0.0211581
0.0190113 0.0218442
0.0191299 0.00184873