# k P_nu(k)
# a = 0.452947
# nbins = 695
1.22718e-05 1.0349e+12
1.7355e-05 6.14392e+11
2.12555e-05 4.08259e+11
2.45437e-05 2.85354e+11
2.74407e-05 2.10481e+11
3.00598e-05 1.62048e+11
3.471e-05 1.06734e+11
3.68155e-05 8.4557e+10
3.8807e-05 6.78807e+10
4.07011e-05 6.04143e+10
4.25109e-05 5.09587e+10
4.42468e-05 4.58441e+10
4.5917e-05 3.83901e+10
4.90874e-05 3.33168e+10
5.05981e-05 2.90433e+10
5.2065e-05 2.75734e+10
5.34917e-05 2.33491e+10
5.48814e-05 2.20133e+10
5.62367e-05 2.05575e+10
5.75601e-05 1.99611e+10
6.01195e-05 1.56778e+10
6.13592e-05 1.5317e+10
6.25744e-05 1.38885e+10
6.37664e-05 1.29904e+10
6.60859e-05 1.16923e+10
6.72157e-05 1.08872e+10
6.942e-05 1.07134e+10
7.04964e-05 9.34695e+09
7.15565e-05 8.01882e+09
7.26012e-05 8.51034e+09
7.36311e-05 7.65478e+09
7.46467e-05 6.52175e+09
7.56487e-05 7.05266e+09
7.7614e-05 5.67452e+09
7.85782e-05 5.79475e+09
7.95307e-05 5.14217e+09
8.04719e-05 4.5687e+09
8.14022e-05 4.79363e+09
8.2322e-05 4.24532e+09
8.32317e-05 4.25247e+09
8.50218e-05 3.87608e+09
8.59029e-05 3.73203e+09
8.67751e-05 3.49394e+09
8.76385e-05 3.21021e+09
8.84935e-05 3.78593e+09
8.93404e-05 3.30193e+09
9.01793e-05 2.95769e+09
9.18341e-05 2.88915e+09
9.26504e-05 2.43561e+09
9.34596e-05 2.50954e+09
9.42618e-05 2.25413e+09
9.58462e-05 2.15666e+09
9.66286e-05 2.06869e+09
9.81748e-05 2.007e+09
9.89388e-05 1.96587e+09
9.9697e-05 1.8086e+09
0.000100947 1.59012e+09
0.000101938 1.74949e+09
0.000102674 1.66368e+09
0.00010413 1.62698e+09
0.000104851 1.5396e+09
0.000105793 1.40949e+09
0.000106983 1.32442e+09
0.000107685 1.39578e+09
0.000108382 1.4183e+09
0.000109763 1.09627e+09
0.000110447 1.24599e+09
0.000111126 1.06818e+09
0.00011207 1.12442e+09
0.000113141 9.86939e+08
0.000113804 1.10231e+09
0.00011512 9.56803e+08
0.000115772 9.97828e+08
0.000116605 9.4032e+08
0.000118768 8.88356e+08
0.000120655 9.03774e+08
0.000121732 7.86894e+08
0.000122718 7.55079e+08
0.000123466 7.50663e+08
0.000125149 6.58826e+08
0.000125749 7.32767e+08
0.000126644 6.97027e+08
0.000127941 6.39965e+08
0.000128708 7.07474e+08
0.000130739 5.47688e+08
0.000131943 5.61937e+08
0.000132953 5.77541e+08
0.000134431 5.33442e+08
0.000135328 5.33995e+08
0.000136101 4.38995e+08
0.000137477 4.49681e+08
0.00013884 3.44088e+08
0.000139516 4.43044e+08
0.000140611 4.11502e+08
0.000141939 3.79986e+08
0.000143463 3.29975e+08
0.000144385 3.85607e+08
0.000145548 3.36925e+08
0.000146631 2.94797e+08
0.000148112 3.2101e+08
0.00014952 2.88141e+08
0.000150299 2.88642e+08
0.000151832 2.4585e+08
0.000152783 2.76571e+08
0.000154045 2.6701e+08
0.000155658 2.25743e+08
0.00015665 2.29944e+08
0.0001579 2.02418e+08
0.000159354 2.10002e+08
0.000160279 2.19183e+08
0.000161626 1.93149e+08
0.000163463 1.979e+08
0.000164644 1.84144e+08
0.000165783 1.78705e+08
0.000167197 1.69954e+08
0.000168799 1.63515e+08
0.000170423 1.69207e+08
0.000171157 1.47812e+08
0.000172744 1.40772e+08
0.000174349 1.3699e+08
0.00017592 1.2863e+08
0.000177497 1.22714e+08
0.000178723 1.26902e+08
0.000180282 1.19711e+08
0.000181376 1.19748e+08
0.000182743 1.07979e+08
0.000184551 1.08575e+08
0.000185977 1.05406e+08
0.000187589 9.99295e+07
0.000188953 9.00359e+07
0.000190863 9.36483e+07
0.000192158 9.09902e+07
0.000193916 8.85636e+07
0.000195504 7.94743e+07
0.000197181 8.21291e+07
0.000198613 7.21167e+07
0.000200148 6.82637e+07
0.000201721 6.58043e+07
0.000203587 6.68218e+07
0.00020541 6.14581e+07
0.000207172 5.77526e+07
0.000208922 6.09822e+07
0.000210371 5.55947e+07
0.000212078 5.24947e+07
0.000214191 4.87437e+07
0.000215596 5.08672e+07
0.00021743 4.32484e+07
0.000219259 4.21978e+07
0.000221084 4.02317e+07
0.00022283 3.77996e+07
0.000224493 3.84767e+07
0.000226376 3.46799e+07
0.000228421 3.44841e+07
0.000230288 3.4937e+07
0.000231928 3.09652e+07
0.00023399 3.00597e+07
0.000236053 2.7344e+07
0.000237805 2.9164e+07
0.000239779 2.59306e+07
0.000241744 2.75139e+07
0.000243673 2.42508e+07
0.000245757 2.46469e+07
0.000247871 2.34831e+07
0.00024984 2.24432e+07
0.000251597 2.19205e+07
0.000253565 2.10538e+07
0.000256 2.05792e+07
0.000258364 1.92767e+07
0.000260499 1.98062e+07
0.000262417 1.8203e+07
0.000264367 1.68536e+07
0.000266592 1.5134e+07
0.000268987 1.40823e+07
0.000271108 1.51554e+07
0.000273349 1.38662e+07
0.000275546 1.33872e+07
0.000277706 1.2325e+07
0.000280204 1.16498e+07
0.000282696 1.22253e+07
0.000284955 1.20534e+07
0.000287036 1.04635e+07
0.000289296 1.02013e+07
0.000291909 1.01747e+07
0.000294404 9.77366e+06
0.000296654 9.58227e+06
0.000299082 9.62553e+06
0.000301403 9.12558e+06
0.000303861 8.20371e+06
0.000306413 7.84817e+06
0.000308749 7.37027e+06
0.000311525 7.27171e+06
0.000313955 6.70101e+06
0.000316471 6.73883e+06
0.000319321 6.75535e+06
0.000322008 6.08819e+06
0.000324666 5.69358e+06
0.00032719 5.50261e+06
0.000329929 5.34473e+06
0.000332507 5.10106e+06
0.000335216 5.1774e+06
0.000337986 4.64298e+06
0.000340927 4.42746e+06
0.000343668 4.34706e+06
0.000346605 4.10093e+06
0.000349164 4.02733e+06
0.000352165 3.73512e+06
0.000355188 3.65448e+06
0.000358008 3.52623e+06
0.000361098 3.22321e+06
0.000363971 3.2431e+06
0.00036707 2.93206e+06
0.000369977 2.90376e+06
0.000373107 2.79979e+06
0.000376085 2.85208e+06
0.000379074 2.65444e+06
0.000382228 2.54208e+06
0.00038541 2.38231e+06
0.000388542 2.28666e+06
0.000391757 2.19636e+06
0.000394981 2.07668e+06
0.000398111 1.94879e+06
0.000401474 1.87766e+06
0.000404717 1.82408e+06
0.000407935 1.75992e+06
0.000411525 1.72762e+06
0.000414686 1.63127e+06
0.000418155 1.56484e+06
0.00042175 1.47085e+06
0.000425291 1.4089e+06
0.000428636 1.35642e+06
0.000432208 1.26691e+06
0.0004357 1.26294e+06
0.000439332 1.20264e+06
0.000442787 1.14775e+06
0.000446449 1.12116e+06
0.000450291 1.04723e+06
0.000453801 1.05513e+06
0.000457447 980837
0.000461323 927389
0.000465014 900500
0.000468866 849408
0.000472806 824123
0.00047678 780676
0.000480624 761678
0.000484555 727146
0.000488474 714108
0.000492396 656507
0.000496538 638455
0.000500678 612770
0.000504761 588999
0.000508767 559099
0.000512959 551882
0.000517253 506414
0.000521544 484554
0.000525774 476355
0.000530168 456288
0.000534431 432028
0.00053878 424515
0.000543223 401156
0.000547788 388906
0.000552163 370977
0.000556755 338171
0.000561463 339932
0.000566064 316227
0.000570587 303444
0.000575277 293274
0.000580056 284954
0.000584753 275364
0.000589576 264100
0.000594327 252822
0.000599226 247198
0.000604166 232101
0.000609275 218928
0.000614265 212849
0.000619191 203124
0.000624415 196331
0.000629458 184840
0.00063466 181740
0.00063975 173892
0.00064489 163902
0.000650271 159743
0.000655619 152819
0.000661178 143544
0.000666601 136960
0.00067198 130540
0.000677465 128412
0.000682952 121071
0.000688602 117850
0.000694365 111339
0.000699968 108725
0.00070566 104804
0.000711633 101498
0.000717351 94934.7
0.000723301 91743.8
0.000729237 86846.3
0.00073526 83960.5
0.000741287 81355.7
0.000747431 78008.1
0.000753573 74894.4
0.000759705 71613.5
0.000765936 68500.7
0.000772341 66551.6
0.000778615 62952.8
0.000785031 59380.8
0.000791493 58258
0.000797999 55402.3
0.000804499 52443.8
0.000811074 51457
0.000817707 48320.9
0.000824546 46775.4
0.000831271 45105
0.000838002 43470.7
0.000844949 41712.2
0.000851929 39925.6
0.000858954 38312.1
0.000865919 36642.6
0.000873072 34844.1
0.000880195 33577.7
0.000887393 31767.8
0.000894783 30607.4
0.000902097 29392.6
0.00090951 28277.7
0.000916929 27188.4
0.000924423 26222.7
0.00093206 25373.6
0.000939669 24380.2
0.000947384 23251.4
0.000955222 22322.9
0.000963012 21302.5
0.00097096 20430
0.000978975 19747.4
0.000986946 18830.9
0.000995044 18101.8
0.00100317 17321.8
0.00101134 16709.7
0.00101966 15945.5
0.00102811 15428.9
0.0010366 14544.7
0.00104515 14112.8
0.00105367 13642.1
0.0010623 12962
0.00107099 12390.6
0.00107984 11957.3
0.00108877 11481.1
0.00109754 11027.6
0.00110658 10654
0.00111585 10061.3
0.001125 9785.24
0.00113422 9356.78
0.00114355 9092.99
0.00115284 8633.62
0.0011623 8274.01
0.00117183 7868.39
0.00118147 7584.95
0.00119124 7279.81
0.00120099 7003.6
0.00121082 6719.97
0.00122077 6487.13
0.00123083 6223.92
0.00124092 5963.03
0.00125109 5743.85
0.00126141 5480.66
0.00127177 5269.67
0.00128216 5044.1
0.00129272 4869.31
0.00130337 4630.55
0.00131407 4464.2
0.00132486 4280.76
0.00133574 4102.85
0.00134668 3951.02
0.0013577 3788.87
0.0013688 3650.38
0.00138009 3476.83
0.00139144 3370.59
0.00140285 3216.67
0.00141438 3095.5
0.0014259 2983.12
0.00143763 2864.85
0.00144946 2713.84
0.00146138 2637.22
0.00147343 2517.1
0.00148553 2412.12
0.00149773 2315.74
0.00150998 2222.57
0.00152238 2149.68
0.00153493 2055.32
0.00154754 1974.21
0.0015602 1892.84
0.00157297 1809.72
0.00158593 1741.65
0.00159901 1669.36
0.00161212 1603.95
0.00162533 1542.2
0.00163867 1471.09
0.00165213 1424.37
0.00166568 1356.52
0.00167936 1305.19
0.00169314 1255.81
0.00170706 1197.67
0.00172108 1155.78
0.00173519 1111.17
0.00174947 1065.3
0.00176388 1020.24
0.00177833 984.917
0.00179289 945.099
0.00180762 905.172
0.0018225 863.839
0.00183749 835.328
0.00185259 797.456
0.00186776 769.494
0.00188308 734.269
0.00189858 705.473
0.00191415 677.922
0.00192986 651.243
0.00194568 621.603
0.00196164 595.522
0.00197781 573.294
0.00199407 550.186
0.00201041 527.152
0.0020269 505.047
0.00204357 484.394
0.00206031 467.001
0.00207723 446.348
0.00209433 428.102
0.00211151 410.212
0.00212883 394.604
0.00214631 377.028
0.00216395 363.208
0.00218171 347.826
0.00219964 333.989
0.0022177 319.797
0.00223591 306.589
0.00225426 294.136
0.00227273 282.132
0.00229144 271.175
0.00231024 259.297
0.00232919 248.606
0.00234835 238.015
0.00236765 228.902
0.00238708 219.379
0.00240668 209.524
0.00242645 201.398
0.00244635 193.44
0.00246642 185.441
0.00248668 177.425
0.00250712 170.043
0.0025277 163.204
0.00254846 155.894
0.00256938 149.531
0.00259045 143.604
0.00261172 137.794
0.00263319 131.484
0.00265482 126.607
0.0026766 121.043
0.00269857 115.699
0.00272074 110.902
0.00274311 106.222
0.00276562 101.987
0.00278831 97.5158
0.00281122 93.5258
0.00283428 89.3792
0.00285753 85.6954
0.00288102 82.2077
0.00290469 78.7474
0.00292852 75.3489
0.00295255 72.2178
0.00297682 68.9859
0.00300132 66.153
0.00302595 63.4061
0.00305077 60.6431
0.00307582 58.1308
0.00310109 55.5709
0.00312652 53.1884
0.00315219 50.9895
0.00317808 48.7112
0.00320418 46.6793
0.00323049 44.7495
0.003257 42.7229
0.00328375 40.8491
0.00331073 39.1079
0.00333793 37.4986
0.00336532 35.753
0.00339295 34.2392
0.00342081 32.7985
0.0034489 31.3437
0.00347724 29.9746
0.00350579 28.6756
0.00353457 27.4188
0.00356356 26.2046
0.0035928 25.0995
0.0036223 23.9829
0.00365206 22.9361
0.00368208 21.9356
0.00371232 20.9493
0.0037428 20.0389
0.00377353 19.1712
0.00380451 18.3384
0.00383574 17.5255
0.00386724 16.7753
0.00389899 16.0194
0.003931 15.3097
0.0039633 14.6358
0.00399584 13.9915
0.00402865 13.3641
0.00406173 12.7735
0.00409507 12.2032
0.00412871 11.658
0.00416262 11.1416
0.0041968 10.6453
0.00423127 10.1845
0.004266 9.71467
0.00430101 9.28073
0.00433633 8.87082
0.00437195 8.46177
0.00440786 8.09502
0.00444405 7.72429
0.00448053 7.37556
0.00451731 7.04541
0.0045544 6.73044
0.00459181 6.42743
0.00462953 6.13436
0.00466752 5.85546
0.00470583 5.59274
0.00474448 5.34047
0.00478347 5.09687
0.00482275 4.87037
0.00486234 4.65093
0.00490225 4.43479
0.0049425 4.23179
0.0049831 4.04239
0.00502401 3.85514
0.00506526 3.68013
0.00510687 3.51177
0.00514879 3.35343
0.00519107 3.19826
0.0052337 3.05506
0.00527667 2.91219
0.00532001 2.78091
0.00536367 2.65047
0.00540771 2.53293
0.00545214 2.41468
0.0054969 2.30224
0.00554203 2.19698
0.00558753 2.09728
0.00563342 1.99978
0.00567967 1.90776
0.00572631 1.81938
0.00577334 1.7352
0.00582073 1.65554
0.00586853 1.57777
0.00591672 1.50573
0.0059653 1.43631
0.00601426 1.36951
0.00606365 1.30634
0.00611346 1.24598
0.00616366 1.18907
0.00621427 1.13307
0.00626529 1.08127
0.00631673 1.02992
0.00636859 0.982719
0.00642088 0.937269
0.00647362 0.893651
0.00652677 0.852785
0.00658036 0.813279
0.0066344 0.775083
0.00668886 0.738614
0.00674379 0.704466
0.00679918 0.671707
0.00685501 0.640351
0.00691131 0.610489
0.00696806 0.582195
0.00702526 0.555103
0.00708294 0.529413
0.00714111 0.504523
0.00719973 0.481045
0.00725885 0.458786
0.00731846 0.437306
0.00737856 0.417071
0.00743915 0.397377
0.00750022 0.37904
0.0075618 0.361434
0.0076239 0.344569
0.00768649 0.32865
0.00774961 0.313269
0.00781325 0.298699
0.00787742 0.284823
0.0079421 0.271617
0.0080073 0.259003
0.00807306 0.247039
0.00813935 0.235566
0.00820618 0.224702
0.00827356 0.214361
0.0083415 0.204436
0.00840998 0.195163
0.00847904 0.186108
0.00854867 0.177605
0.00861886 0.169446
0.00868963 0.161653
0.00876099 0.154382
0.00883292 0.147308
0.00890544 0.140654
0.00897858 0.134272
0.00905231 0.128271
0.00912663 0.122553
0.00920156 0.117108
0.00927713 0.111907
0.0093533 0.106936
0.0094301 0.10229
0.00950753 0.0978341
0.0095856 0.0936084
0.00966431 0.0896371
0.00974367 0.085828
0.00982367 0.0822308
0.00990433 0.0788197
0.00998566 0.0755479
0.0100677 0.0724961
0.0101503 0.06959
0.0102337 0.0668453
0.0103177 0.0642597
0.0104024 0.0618259
0.0104878 0.0595384
0.010574 0.0573749
0.0106608 0.0553405
0.0107483 0.0534282
0.0108366 0.0516429
0.0109256 0.0499873
0.0110152 0.0484378
0.0111055 0.046548
0.0111967 0.0445096
0.0112886 0.0425666
0.0113813 0.0407268
0.0114748 0.0389808
0.011569 0.0373191
0.011664 0.0357323
0.0117598 0.0342243
0.0118563 0.0327981
0.0119537 0.0314168
0.0120518 0.0301196
0.0121508 0.0288875
0.0122505 0.0277133
0.0123511 0.0266011
0.0124525 0.0255312
0.0125548 0.0245258
0.0126579 0.0235657
0.0127618 0.0226667
0.0128666 0.0217958
0.0129722 0.0209814
0.0130787 0.0202066
0.0131861 0.0194746
0.0132944 0.018782
0.0134035 0.0181273
0.0135136 0.0175159
0.0136245 0.0169313
0.0137363 0.0163927
0.0138491 0.0158841
0.0139628 0.0153954
0.0140774 0.0149447
0.014193 0.0145243
0.0143095 0.0141348
0.014427 0.0137685
0.0145454 0.0134253
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