# k P_nu(k)
# a = 0.149993
# nbins = 695
1.22718e-05 4.79717e+10
1.7355e-05 2.43733e+10
2.12555e-05 1.47744e+10
2.45437e-05 9.77197e+09
2.74407e-05 6.88756e+09
3.00598e-05 5.08968e+09
3.471e-05 3.09148e+09
3.68155e-05 2.44881e+09
3.8807e-05 1.97526e+09
4.07011e-05 1.67718e+09
4.25109e-05 1.40999e+09
4.42468e-05 1.22479e+09
4.5917e-05 1.04258e+09
4.90874e-05 8.36716e+08
5.05981e-05 7.37536e+08
5.2065e-05 6.73571e+08
5.34917e-05 5.91921e+08
5.48814e-05 5.43293e+08
5.62367e-05 4.98786e+08
5.75601e-05 4.65804e+08
6.01195e-05 3.8201e+08
6.13592e-05 3.59087e+08
6.25744e-05 3.29851e+08
6.37664e-05 3.06167e+08
6.60859e-05 2.68238e+08
6.72157e-05 2.49683e+08
6.942e-05 2.27343e+08
7.04964e-05 2.06936e+08
7.15565e-05 1.87681e+08
7.26012e-05 1.83754e+08
7.36311e-05 1.69106e+08
7.46467e-05 1.54001e+08
7.56487e-05 1.52211e+08
7.7614e-05 1.29491e+08
7.85782e-05 1.2562e+08
7.95307e-05 1.15544e+08
8.04719e-05 1.06559e+08
8.14022e-05 1.04178e+08
8.2322e-05 9.66346e+07
8.32317e-05 9.30339e+07
8.50218e-05 8.47376e+07
8.59029e-05 7.95983e+07
8.67751e-05 7.51455e+07
8.76385e-05 7.04325e+07
8.84935e-05 7.25561e+07
8.93404e-05 6.66774e+07
9.01793e-05 6.19343e+07
9.18341e-05 5.76993e+07
9.26504e-05 5.27333e+07
9.34596e-05 5.14094e+07
9.42618e-05 4.81898e+07
9.58462e-05 4.49947e+07
9.66286e-05 4.32188e+07
9.81748e-05 4.07392e+07
9.89388e-05 3.906e+07
9.9697e-05 3.70744e+07
0.000100947 3.4213e+07
0.000101938 3.39554e+07
0.000102674 3.26892e+07
0.00010413 3.08919e+07
0.000104851 2.96751e+07
0.000105793 2.81196e+07
0.000106983 2.67241e+07
0.000107685 2.6462e+07
0.000108382 2.62053e+07
0.000109763 2.26405e+07
0.000110447 2.37164e+07
0.000111126 2.191e+07
0.00011207 2.17271e+07
0.000113141 2.02179e+07
0.000113804 2.07747e+07
0.00011512 1.9105e+07
0.000115772 1.90228e+07
0.000116605 1.81458e+07
0.000118768 1.69819e+07
0.000120655 1.6372e+07
0.000121732 1.5134e+07
0.000122718 1.43757e+07
0.000123466 1.42267e+07
0.000125149 1.31488e+07
0.000125749 1.33809e+07
0.000126644 1.28715e+07
0.000127941 1.20414e+07
0.000128708 1.22443e+07
0.000130739 1.06269e+07
0.000131943 1.04163e+07
0.000132953 1.01701e+07
0.000134431 9.61834e+06
0.000135328 9.47285e+06
0.000136101 8.59161e+06
0.000137477 8.37236e+06
0.00013884 7.32579e+06
0.000139516 7.87193e+06
0.000140611 7.40667e+06
0.000141939 6.94528e+06
0.000143463 6.36101e+06
0.000144385 6.65578e+06
0.000145548 6.06064e+06
0.000146631 5.60364e+06
0.000148112 5.62099e+06
0.00014952 5.17865e+06
0.000150299 5.15429e+06
0.000151832 4.60006e+06
0.000152783 4.72378e+06
0.000154045 4.50691e+06
0.000155658 4.06093e+06
0.00015665 3.99983e+06
0.0001579 3.69677e+06
0.000159354 3.62342e+06
0.000160279 3.61905e+06
0.000161626 3.34197e+06
0.000163463 3.25742e+06
0.000164644 3.07783e+06
0.000165783 3.04445e+06
0.000167197 2.84162e+06
0.000168799 2.76125e+06
0.000170423 2.69332e+06
0.000171157 2.51912e+06
0.000172744 2.41904e+06
0.000174349 2.34185e+06
0.00017592 2.18596e+06
0.000177497 2.11022e+06
0.000178723 2.10279e+06
0.000180282 1.99363e+06
0.000181376 1.95072e+06
0.000182743 1.8452e+06
0.000184551 1.78815e+06
0.000185977 1.73029e+06
0.000187589 1.65575e+06
0.000188953 1.52813e+06
0.000190863 1.51477e+06
0.000192158 1.46825e+06
0.000193916 1.41342e+06
0.000195504 1.30327e+06
0.000197181 1.28109e+06
0.000198613 1.19693e+06
0.000200148 1.13354e+06
0.000201721 1.08773e+06
0.000203587 1.05311e+06
0.00020541 988855
0.000207172 926612
0.000208922 914794
0.000210371 858132
0.000212078 818931
0.000214191 776063
0.000215596 768495
0.00021743 701100
0.000219259 667300
0.000221084 632324
0.00022283 610160
0.000224493 601106
0.000226376 546762
0.000228421 538529
0.000230288 527246
0.000231928 494402
0.00023399 464263
0.000236053 442366
0.000237805 442502
0.000239779 408985
0.000241744 407058
0.000243673 380276
0.000245757 371494
0.000247871 355554
0.00024984 342951
0.000251597 326809
0.000253565 311636
0.000256 296398
0.000258364 285548
0.000260499 276894
0.000262417 257093
0.000264367 246066
0.000266592 231265
0.000268987 220606
0.000271108 215519
0.000273349 202012
0.000275546 190003
0.000277706 182564
0.000280204 171810
0.000282696 170920
0.000284955 162695
0.000287036 149902
0.000289296 144156
0.000291909 140521
0.000294404 135696
0.000296654 130564
0.000299082 127965
0.000301403 119557
0.000303861 112561
0.000306413 107722
0.000308749 101763
0.000311525 98470
0.000313955 94008
0.000316471 90777.5
0.000319321 88472.9
0.000322008 81773.6
0.000324666 77741.1
0.00032719 73393.3
0.000329929 71078.7
0.000332507 68802.5
0.000335216 66187.1
0.000337986 61929.9
0.000340927 58340.6
0.000343668 55548.9
0.000346605 52858.4
0.000349164 51472
0.000352165 47792.6
0.000355188 45802.2
0.000358008 45115.4
0.000361098 42235.8
0.000363971 40206.8
0.00036707 37358.4
0.000369977 36925.7
0.000373107 34768.9
0.000376085 33722.7
0.000379074 31853.1
0.000382228 30297.7
0.00038541 29369.8
0.000388542 27911.5
0.000391757 26331.5
0.000394981 25476
0.000398111 23480.5
0.000401474 22591.2
0.000404717 21514.9
0.000407935 20842.1
0.000411525 19944.5
0.000414686 19349.5
0.000418155 18444.7
0.00042175 17420.6
0.000425291 16203.7
0.000428636 15575.7
0.000432208 14865.7
0.0004357 14368.2
0.000439332 13663.2
0.000442787 12948
0.000446449 12409.4
0.000450291 11754.4
0.000453801 11518.2
0.000457447 10784.9
0.000461323 10249.1
0.000465014 9722.9
0.000468866 9372.33
0.000472806 8742.74
0.00047678 8532.93
0.000480624 8032.24
0.000484555 7776.46
0.000488474 7400.76
0.000492396 6977.85
0.000496538 6764.1
0.000500678 6422.3
0.000504761 6115.05
0.000508767 5809.02
0.000512959 5567.92
0.000517253 5326.63
0.000521544 4964.49
0.000525774 4850.9
0.000530168 4557.41
0.000534431 4350.87
0.00053878 4075.34
0.000543223 3923.8
0.000547788 3799.18
0.000552163 3587.94
0.000556755 3399.4
0.000561463 3198.53
0.000566064 3134.17
0.000570587 2957.4
0.000575277 2739.5
0.000580056 2662.37
0.000584753 2585.97
0.000589576 2441.49
0.000594327 2350.13
0.000599226 2203.53
0.000604166 2102.76
0.000609275 1976.07
0.000614265 1937.52
0.000619191 1848.81
0.000624415 1740.76
0.000629458 1655.27
0.00063466 1575.72
0.00063975 1501.72
0.00064489 1437.75
0.000650271 1378.98
0.000655619 1292.58
0.000661178 1232.16
0.000666601 1178.85
0.00067198 1111.85
0.000677465 1079.37
0.000682952 1043.51
0.000688602 971.301
0.000694365 933.89
0.000699968 885.004
0.00070566 836.203
0.000711633 808.808
0.000717351 761.132
0.000723301 718.555
0.000729237 694.655
0.00073526 651.38
0.000741287 630.066
0.000747431 597.461
0.000753573 578.354
0.000759705 549.278
0.000765936 518.552
0.000772341 500.499
0.000778615 472.206
0.000785031 450.179
0.000791493 421.946
0.000797999 407.598
0.000804499 384.391
0.000811074 369.406
0.000817707 353.122
0.000824546 333.023
0.000831271 318.958
0.000838002 302.429
0.000844949 289.092
0.000851929 276.014
0.000858954 260.117
0.000865919 250.128
0.000873072 237.603
0.000880195 227.91
0.000887393 212.353
0.000894783 206.154
0.000902097 194.687
0.00090951 184.944
0.000916929 177.929
0.000924423 167.979
0.00093206 159.068
0.000939669 152.943
0.000947384 146.558
0.000955222 139.737
0.000963012 132.135
0.00097096 125.779
0.000978975 119.958
0.000986946 113.054
0.000995044 109.485
0.00100317 103.354
0.00101134 98.161
0.00101966 93.7468
0.00102811 89.4063
0.0010366 85.2028
0.00104515 80.8393
0.00105367 77.0961
0.0010623 72.6582
0.00107099 69.9174
0.00107984 66.4318
0.00108877 63.4395
0.00109754 60.3162
0.00110658 57.6288
0.00111585 54.6676
0.001125 51.5664
0.00113422 49.1954
0.00114355 47.0748
0.00115284 44.6453
0.0011623 42.617
0.00117183 40.6868
0.00118147 38.8668
0.00119124 36.8626
0.00120099 35.5191
0.00121082 33.2695
0.00122077 32.0735
0.00123083 30.3998
0.00124092 28.7506
0.00125109 27.1529
0.00126141 26.2633
0.00127177 24.9782
0.00128216 23.7981
0.00129272 22.5671
0.00130337 21.4804
0.00131407 20.5029
0.00132486 19.6337
0.00133574 18.5259
0.00134668 17.5388
0.0013577 16.8001
0.0013688 16.0645
0.00138009 15.2611
0.00139144 14.4719
0.00140285 13.7795
0.00141438 13.2121
0.0014259 12.5125
0.00143763 11.8798
0.00144946 11.3236
0.00146138 10.8162
0.00147343 10.2085
0.00148553 9.80013
0.00149773 9.29585
0.00150998 8.86725
0.00152238 8.45373
0.00153493 8.03014
0.00154754 7.68647
0.0015602 7.31408
0.00157297 6.96619
0.00158593 6.61477
0.00159901 6.30167
0.00161212 5.96348
0.00162533 5.70984
0.00163867 5.4179
0.00165213 5.18095
0.00166568 4.92798
0.00167936 4.68189
0.00169314 4.45404
0.00170706 4.24067
0.00172108 4.04225
0.00173519 3.84578
0.00174947 3.65625
0.00176388 3.4941
0.00177833 3.3081
0.00179289 3.17668
0.00180762 3.00897
0.0018225 2.87051
0.00183749 2.7276
0.00185259 2.59515
0.00186776 2.46502
0.00188308 2.35344
0.00189858 2.24042
0.00191415 2.12147
0.00192986 2.03748
0.00194568 1.94053
0.00196164 1.84361
0.00197781 1.74822
0.00199407 1.6759
0.00201041 1.59583
0.0020269 1.51484
0.00204357 1.43734
0.00206031 1.37051
0.00207723 1.30753
0.00209433 1.24425
0.00211151 1.18373
0.00212883 1.13223
0.00214631 1.0741
0.00216395 1.02265
0.00218171 0.972247
0.00219964 0.925943
0.0022177 0.883086
0.00223591 0.843348
0.00225426 0.800388
0.00227273 0.762664
0.00229144 0.726879
0.00231024 0.691599
0.00232919 0.659605
0.00234835 0.627892
0.00236765 0.599103
0.00238708 0.569954
0.00240668 0.54314
0.00242645 0.517057
0.00244635 0.493185
0.00246642 0.468721
0.00248668 0.446607
0.00250712 0.425232
0.0025277 0.403857
0.00254846 0.385092
0.00256938 0.367146
0.00259045 0.350253
0.00261172 0.332942
0.00263319 0.317931
0.00265482 0.302267
0.0026766 0.287545
0.00269857 0.273728
0.00272074 0.260854
0.00274311 0.248377
0.00276562 0.236849
0.00278831 0.226047
0.00281122 0.214709
0.00283428 0.204939
0.00285753 0.195132
0.00288102 0.185736
0.00290469 0.177145
0.00292852 0.168647
0.00295255 0.16048
0.00297682 0.153142
0.00300132 0.145561
0.00302595 0.139001
0.00305077 0.132352
0.00307582 0.12598
0.00310109 0.12013
0.00312652 0.114275
0.00315219 0.108919
0.00317808 0.103745
0.00320418 0.0988992
0.00323049 0.0942719
0.003257 0.0897082
0.00328375 0.0854593
0.00331073 0.081438
0.00333793 0.0776148
0.00336532 0.0739469
0.00339295 0.0704868
0.00342081 0.0670975
0.0034489 0.0639185
0.00347724 0.0610096
0.00350579 0.0580513
0.00353457 0.055287
0.00356356 0.0527484
0.0035928 0.0501312
0.0036223 0.0478764
0.00365206 0.0456083
0.00368208 0.0434031
0.00371232 0.0413005
0.0037428 0.0393482
0.00377353 0.0376672
0.00380451 0.0357806
0.00383574 0.0341759
0.00386724 0.0325213
0.00389899 0.0310023
0.003931 0.0295349
0.0039633 0.0281415
0.00399584 0.0268628
0.00402865 0.0255769
0.00406173 0.0243755
0.00409507 0.0232271
0.00412871 0.0221744
0.00416262 0.0211256
0.0041968 0.0201047
0.00423127 0.0192056
0.004266 0.0182974
0.00430101 0.0174252
0.00433633 0.0166207
0.00437195 0.0158496
0.00440786 0.0150988
0.00444405 0.0144215
0.00448053 0.0137403
0.00451731 0.0131033
0.0045544 0.0124942
0.00459181 0.0119214
0.00462953 0.0113638
0.00466752 0.0108341
0.00470583 0.0103332
0.00474448 0.00985394
0.00478347 0.00940789
0.00482275 0.00896852
0.00486234 0.00855243
0.00490225 0.00815781
0.0049425 0.00779623
0.0049831 0.00743656
0.00502401 0.00708645
0.00506526 0.0067765
0.00510687 0.00646176
0.00514879 0.00617168
0.00519107 0.00589131
0.0052337 0.00562149
0.00527667 0.00536187
0.00532001 0.00512873
0.00536367 0.00489986
0.00540771 0.00468162
0.00545214 0.0044651
0.0054969 0.00427337
0.00554203 0.00408214
0.00558753 0.00390175
0.00563342 0.00373057
0.00567967 0.00356702
0.00572631 0.00341142
0.00577334 0.00326465
0.00582073 0.00312508
0.00586853 0.0029897
0.00591672 0.0028635
0.0059653 0.00274228
0.00601426 0.00262793
0.00606365 0.00251659
0.00611346 0.00241214
0.00616366 0.00231333
0.00621427 0.00221933
0.00626529 0.00213008
0.00631673 0.00204526
0.00636859 0.00196273
0.00642088 0.00188721
0.00647362 0.0018119
0.00652677 0.00174369
0.00658036 0.00167764
0.0066344 0.00161478
0.00668886 0.001556
0.00674379 0.00149969
0.00679918 0.00144698
0.00685501 0.00139678
0.00691131 0.00134863
0.00696806 0.00130318
0.00702526 0.00126214
0.00708294 0.00122103
0.00714111 0.00118324
0.00719973 0.00114676
0.00725885 0.00111307
0.00731846 0.00108214
0.00737856 0.00105129
0.00743915 0.00102328
0.00750022 0.000997678
0.0075618 0.000972697
0.0076239 0.000949377
0.00768649 0.000928046
0.00774961 0.000908157
0.00781325 0.000889275
0.00787742 0.000871797
0.0079421 0.00085544
0.0080073 0.000840269
0.00807306 0.000826621
0.00813935 0.000812543
0.00820618 0.000801817
0.00827356 0.000790586
0.0083415 0.000781023
0.00840998 0.00077042
0.00847904 0.000761924
0.00854867 0.000754192
0.00861886 0.000746761
0.00868963 0.000739533
0.00876099 0.000733734
0.00883292 0.000727993
0.00890544 0.000722041
0.00897858 0.000716532
0.00905231 0.000712038
0.00912663 0.000706477
0.00920156 0.000703099
0.00927713 0.000697838
0.0093533 0.0006942
0.0094301 0.000690025
0.00950753 0.000685646
0.0095856 0.000681981
0.00966431 0.000677503
0.00974367 0.000673093
0.00982367 0.000669459
0.00990433 0.000665109
0.00998566 0.000660463
0.0100677 0.00065673
0.0101503 0.000651695
0.0102337 0.000646895
0.0103177 0.000641912
0.0104024 0.000637704
0.0104878 0.000633491
0.010574 0.000628114
0.0106608 0.000623405
0.0107483 0.000618565
0.0108366 0.000613204
0.0109256 0.000608276
0.0110152 0.000600786
0.0111055 0.000501688
0.0111967 0.00040312
0.0112886 0.000341491
0.0113813 0.000300574
0.0114748 0.000272427
0.011569 0.000252269
0.011664 0.000237586
0.0117598 0.000226991
0.0118563 0.00021911
0.0119537 0.000213566
0.0120518 0.000209857
0.0121508 0.00020731
0.0122505 0.000206155
0.0123511 0.000205794
0.0124525 0.000206262
0.0125548 0.000207384
0.0126579 0.000209074
0.0127618 0.000211246
0.0128666 0.000213894
0.0129722 0.000216803
0.0130787 0.000219955
0.0131861 0.000223306
0.0132944 0.000226792
0.0134035 0.000230168
0.0135136 0.000233684
0.0136245 0.000237108
0.0137363 0.000240376
0.0138491 0.000243486
0.0139628 0.000246159
0.0140774 0.000248598
0.014193 0.000250719
0.0143095 0.000252308
0.014427 0.000253361
0.0145454 0.000253992
0.0146648 0.000253617
0.0147852 0.000252602
0.0149065 0.000250308
0.0150288 0.000246604
0.0151522 0.000241056
0.0152765 0.000232937
0.0154018 0.000221402
0.0155281 0.00020488
0.0156556 0.00018545
0.0157843 0.000178329
0.0159139 0.000178147
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0.0167139 0.000219583
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0.0172693 0.000262916
0.0174109 0.000274794
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0.0176976 0.000300262
0.0178426 0.000314244
0.0179887 0.000329999
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0.0184332 0.000381137
0.0185832 0.000401606
0.0187336 0.000423912
0.0188802 0.00044935
0.0190113 0.000474913
0.0191299 9.22097e-06