# k P_nu(k)
# a = 0.0509693
# nbins = 695
1.22718e-05 1.66743e+09
1.7355e-05 7.28972e+08
2.12555e-05 4.05874e+08
2.45437e-05 2.54149e+08
2.74407e-05 1.71748e+08
3.00598e-05 1.22516e+08
3.471e-05 7.005e+07
3.68155e-05 5.48667e+07
3.8807e-05 4.39186e+07
4.07011e-05 3.62944e+07
4.25109e-05 3.02272e+07
4.42468e-05 2.57317e+07
4.5917e-05 2.192e+07
4.90874e-05 1.68756e+07
5.05981e-05 1.48589e+07
5.2065e-05 1.33123e+07
5.34917e-05 1.18159e+07
5.48814e-05 1.0695e+07
5.62367e-05 9.71703e+06
5.75601e-05 8.9106e+06
6.01195e-05 7.3785e+06
6.13592e-05 6.82442e+06
6.25744e-05 6.27319e+06
6.37664e-05 5.79785e+06
6.60859e-05 4.99864e+06
6.72157e-05 4.64237e+06
6.942e-05 4.0827e+06
7.04964e-05 3.77161e+06
7.15565e-05 3.48279e+06
7.26012e-05 3.30391e+06
7.36311e-05 3.0702e+06
7.46467e-05 2.84556e+06
7.56487e-05 2.71654e+06
7.7614e-05 2.35702e+06
7.85782e-05 2.23872e+06
7.95307e-05 2.08648e+06
8.04719e-05 1.94986e+06
8.14022e-05 1.85782e+06
8.2322e-05 1.74178e+06
8.32317e-05 1.65321e+06
8.50218e-05 1.48671e+06
8.59029e-05 1.39966e+06
8.67751e-05 1.32303e+06
8.76385e-05 1.24818e+06
8.84935e-05 1.21851e+06
8.93404e-05 1.14307e+06
9.01793e-05 1.07679e+06
9.18341e-05 983891
9.26504e-05 924088
9.34596e-05 887434
9.42618e-05 841319
9.58462e-05 774672
9.66286e-05 742608
9.81748e-05 687859
9.89388e-05 659915
9.9697e-05 631656
0.000100947 589071
0.000101938 567806
0.000102674 547531
0.00010413 511797
0.000104851 493921
0.000105793 471373
0.000106983 447120
0.000107685 435819
0.000108382 425894
0.000109763 388069
0.000110447 388203
0.000111126 370277
0.00011207 359795
0.000113141 341052
0.000113804 338240
0.00011512 317306
0.000115772 311413
0.000116605 299591
0.000118768 277302
0.000120655 261019
0.000121732 247154
0.000122718 236432
0.000123466 231259
0.000125149 215868
0.000125749 213604
0.000126644 206073
0.000127941 194655
0.000128708 191756
0.000130739 173293
0.000131943 166782
0.000132953 160825
0.000134431 151962
0.000135328 147671
0.000136101 139574
0.000137477 133405
0.00013884 122706
0.000139516 123513
0.000140611 117264
0.000141939 110600
0.000143463 102970
0.000144385 102105
0.000145548 95582.7
0.000146631 90426.4
0.000148112 87014.9
0.00014952 81426.8
0.000150299 79765.2
0.000151832 73559.2
0.000152783 72461.5
0.000154045 68992
0.000155658 63897.3
0.00015665 62070.2
0.0001579 58597.5
0.000159354 56241.5
0.000160279 55041.4
0.000161626 51924.2
0.000163463 49412.4
0.000164644 47240
0.000165783 46060.4
0.000167197 43566.3
0.000168799 41867.2
0.000170423 40155.9
0.000171157 38677.5
0.000172744 37022.4
0.000174349 35574.1
0.00017592 33648.4
0.000177497 32336.6
0.000178723 31609.4
0.000180282 30166.6
0.000181376 29327.6
0.000182743 28097.8
0.000184551 26894.7
0.000185977 25915.6
0.000187589 24792.8
0.000188953 23499.4
0.000190863 22607.2
0.000192158 21840.5
0.000193916 20863.1
0.000195504 19656.8
0.000197181 18909
0.000198613 17986.4
0.000200148 17138.7
0.000201721 16377.3
0.000203587 15599.1
0.00020541 14719.7
0.000207172 13908.3
0.000208922 13377.5
0.000210371 12733.4
0.000212078 12118.5
0.000214191 11442.2
0.000215596 11104.6
0.00021743 10420.3
0.000219259 9905.71
0.000221084 9400.93
0.00022283 9022.64
0.000224493 8733.66
0.000226376 8177.5
0.000228421 7888.1
0.000230288 7601.95
0.000231928 7260.24
0.00023399 6862.14
0.000236053 6566.38
0.000237805 6396.51
0.000239779 6043.85
0.000241744 5864.21
0.000243673 5573.85
0.000245757 5368.64
0.000247871 5132.06
0.00024984 4936.57
0.000251597 4721.69
0.000253565 4510.66
0.000256 4277.51
0.000258364 4086.21
0.000260499 3907.92
0.000262417 3700.74
0.000264367 3548.39
0.000266592 3358.41
0.000268987 3197.47
0.000271108 3057.67
0.000273349 2896.17
0.000275546 2740.33
0.000277706 2625.76
0.000280204 2478.39
0.000282696 2390.49
0.000284955 2272.37
0.000287036 2153.05
0.000289296 2061.15
0.000291909 1974.9
0.000294404 1887.52
0.000296654 1815.7
0.000299082 1747.36
0.000301403 1657.54
0.000303861 1578.04
0.000306413 1507.06
0.000308749 1437.81
0.000311525 1373.69
0.000313955 1317.35
0.000316471 1258.42
0.000319321 1205.28
0.000322008 1134.79
0.000324666 1082.2
0.00032719 1028.91
0.000329929 986.602
0.000332507 944.998
0.000335216 901.394
0.000337986 853.294
0.000340927 806.313
0.000343668 766.79
0.000346605 729.811
0.000349164 702.083
0.000352165 660.96
0.000355188 630.697
0.000358008 609.532
0.000361098 576.481
0.000363971 549.617
0.00036707 519.874
0.000369977 502.193
0.000373107 475.834
0.000376085 456.362
0.000379074 433.774
0.000382228 412.744
0.00038541 396.239
0.000388542 377.21
0.000391757 356.853
0.000394981 342.535
0.000398111 322.052
0.000401474 307.249
0.000404717 293.004
0.000407935 280.404
0.000411525 265.907
0.000414686 256.213
0.000418155 243.71
0.00042175 231.539
0.000425291 217.974
0.000428636 208.384
0.000432208 198.848
0.0004357 190.878
0.000439332 181.37
0.000442787 172.578
0.000446449 164.698
0.000450291 156.15
0.000453801 150.4
0.000457447 142.048
0.000461323 135.411
0.000465014 128.667
0.000468866 122.839
0.000472806 116.204
0.00047678 111.255
0.000480624 105.232
0.000484555 101.159
0.000488474 96.2606
0.000492396 91.3083
0.000496538 87.4047
0.000500678 83.1264
0.000504761 79.1381
0.000508767 75.2881
0.000512959 71.6244
0.000517253 68.39
0.000521544 64.5279
0.000525774 61.9854
0.000530168 58.7488
0.000534431 55.8341
0.00053878 52.734
0.000543223 50.4792
0.000547788 48.2577
0.000552163 45.8366
0.000556755 43.6184
0.000561463 41.2117
0.000566064 39.5702
0.000570587 37.6323
0.000575277 35.3567
0.000580056 33.8997
0.000584753 32.592
0.000589576 30.7864
0.000594327 29.4476
0.000599226 27.864
0.000604166 26.4979
0.000609275 25.1661
0.000614265 24.0463
0.000619191 23.0099
0.000624415 21.6987
0.000629458 20.6938
0.00063466 19.6563
0.00063975 18.7558
0.00064489 17.856
0.000650271 17.0457
0.000655619 16.1108
0.000661178 15.3049
0.000666601 14.568
0.00067198 13.8154
0.000677465 13.2775
0.000682952 12.6666
0.000688602 11.9203
0.000694365 11.4243
0.000699968 10.8622
0.00070566 10.2511
0.000711633 9.77244
0.000717351 9.30246
0.000723301 8.82565
0.000729237 8.42905
0.00073526 7.96557
0.000741287 7.60721
0.000747431 7.22668
0.000753573 6.91971
0.000759705 6.57244
0.000765936 6.21997
0.000772341 5.94155
0.000778615 5.64105
0.000785031 5.37409
0.000791493 5.06204
0.000797999 4.84507
0.000804499 4.5872
0.000811074 4.38501
0.000817707 4.15819
0.000824546 3.94598
0.000831271 3.75096
0.000838002 3.5605
0.000844949 3.39416
0.000851929 3.2443
0.000858954 3.05927
0.000865919 2.92457
0.000873072 2.77237
0.000880195 2.64188
0.000887393 2.4939
0.000894783 2.38481
0.000902097 2.25724
0.00090951 2.15219
0.000916929 2.04714
0.000924423 1.93712
0.00093206 1.84008
0.000939669 1.75083
0.000947384 1.66757
0.000955222 1.58905
0.000963012 1.51061
0.00097096 1.43253
0.000978975 1.36306
0.000986946 1.28375
0.000995044 1.22921
0.00100317 1.16702
0.00101134 1.11186
0.00101966 1.06056
0.00102811 1.0009
0.0010366 0.950282
0.00104515 0.902642
0.00105367 0.85972
0.0010623 0.808951
0.00107099 0.776853
0.00107984 0.735492
0.00108877 0.701354
0.00109754 0.665909
0.00110658 0.633619
0.00111585 0.59979
0.001125 0.568441
0.00113422 0.541439
0.00114355 0.512773
0.00115284 0.485734
0.0011623 0.46392
0.00117183 0.43996
0.00118147 0.417604
0.00119124 0.398113
0.00120099 0.380847
0.00121082 0.360103
0.00122077 0.341605
0.00123083 0.324085
0.00124092 0.307545
0.00125109 0.290832
0.00126141 0.276318
0.00127177 0.264562
0.00128216 0.250931
0.00129272 0.237917
0.00130337 0.225449
0.00131407 0.21445
0.00132486 0.203734
0.00133574 0.192856
0.00134668 0.183845
0.0013577 0.174291
0.0013688 0.165619
0.00138009 0.157843
0.00139144 0.148345
0.00140285 0.141498
0.00141438 0.134738
0.0014259 0.12797
0.00143763 0.121338
0.00144946 0.115978
0.00146138 0.109854
0.00147343 0.103736
0.00148553 0.0985089
0.00149773 0.0934962
0.00150998 0.0891357
0.00152238 0.0844775
0.00153493 0.0801014
0.00154754 0.0764056
0.0015602 0.0723688
0.00157297 0.0688615
0.00158593 0.065029
0.00159901 0.0617109
0.00161212 0.0585162
0.00162533 0.0557615
0.00163867 0.0526177
0.00165213 0.0503059
0.00166568 0.047712
0.00167936 0.0452244
0.00169314 0.0429169
0.00170706 0.040693
0.00172108 0.0386941
0.00173519 0.0367478
0.00174947 0.0348164
0.00176388 0.0330833
0.00177833 0.031426
0.00179289 0.0298112
0.00180762 0.0282649
0.0018225 0.0268284
0.00183749 0.0255043
0.00185259 0.0241635
0.00186776 0.0228499
0.00188308 0.0217329
0.00189858 0.0206545
0.00191415 0.019621
0.00192986 0.0185741
0.00194568 0.0176787
0.00196164 0.0167544
0.00197781 0.0159243
0.00199407 0.0150974
0.00201041 0.0143302
0.0020269 0.0136252
0.00204357 0.0128829
0.00206031 0.0122506
0.00207723 0.0115963
0.00209433 0.0110361
0.00211151 0.0104571
0.00212883 0.00991928
0.00214631 0.00940702
0.00216395 0.00892908
0.00218171 0.00848207
0.00219964 0.00806023
0.0022177 0.00762983
0.00223591 0.00723697
0.00225426 0.0068681
0.00227273 0.00650846
0.00229144 0.00619325
0.00231024 0.00588859
0.00232919 0.00556633
0.00234835 0.00529405
0.00236765 0.00502062
0.00238708 0.00475685
0.00240668 0.00451588
0.00242645 0.00428844
0.00244635 0.00406008
0.00246642 0.00384955
0.00248668 0.0036628
0.00250712 0.00347377
0.0025277 0.00330172
0.00254846 0.003129
0.00256938 0.00296611
0.00259045 0.00281307
0.00261172 0.00267651
0.00263319 0.00253487
0.00265482 0.00240572
0.0026766 0.00228098
0.00269857 0.00216997
0.00272074 0.0020532
0.00274311 0.00195482
0.00276562 0.00185357
0.00278831 0.00175849
0.00281122 0.00166787
0.00283428 0.00158394
0.00285753 0.0014984
0.00288102 0.00142668
0.00290469 0.001356
0.00292852 0.00128478
0.00295255 0.00121884
0.00297682 0.00115409
0.00300132 0.00109463
0.00302595 0.00104249
0.00305077 0.000986996
0.00307582 0.000934107
0.00310109 0.000888265
0.00312652 0.000841592
0.00315219 0.000797548
0.00317808 0.000757873
0.00320418 0.00071547
0.00323049 0.000679145
0.003257 0.000644973
0.00328375 0.000611677
0.00331073 0.000578975
0.00333793 0.000548502
0.00336532 0.000520428
0.00339295 0.00049403
0.00342081 0.000468122
0.0034489 0.000443514
0.00347724 0.000419891
0.00350579 0.000398453
0.00353457 0.00037812
0.00356356 0.000358375
0.0035928 0.000338934
0.0036223 0.000321842
0.00365206 0.000305626
0.00368208 0.000289493
0.00371232 0.000274357
0.0037428 0.000260578
0.00377353 0.000247072
0.00380451 0.000234148
0.00383574 0.000222185
0.00386724 0.00021057
0.00389899 0.000199868
0.003931 0.000189658
0.0039633 0.000179823
0.00399584 0.000170522
0.00402865 0.000161884
0.00406173 0.000153698
0.00409507 0.000146012
0.00412871 0.000138541
0.00416262 0.000131465
0.0041968 0.000124804
0.00423127 0.000118215
0.004266 0.000112494
0.00430101 0.000106671
0.00433633 0.000101482
0.00437195 9.62185e-05
0.00440786 9.15223e-05
0.00444405 8.68196e-05
0.00448053 8.25943e-05
0.00451731 7.84954e-05
0.0045544 7.46133e-05
0.00459181 7.09389e-05
0.00462953 6.7501e-05
0.00466752 6.42632e-05
0.00470583 6.10754e-05
0.00474448 5.81867e-05
0.00478347 5.52911e-05
0.00482275 5.26827e-05
0.00486234 5.0205e-05
0.00490225 4.78228e-05
0.0049425 4.56016e-05
0.0049831 4.35463e-05
0.00502401 4.15467e-05
0.00506526 3.96312e-05
0.00510687 3.78148e-05
0.00514879 3.61459e-05
0.00519107 3.45852e-05
0.0052337 3.30795e-05
0.00527667 3.16503e-05
0.00532001 3.03511e-05
0.00536367 2.90833e-05
0.00540771 2.79251e-05
0.00545214 2.67918e-05
0.0054969 2.57354e-05
0.00554203 2.47508e-05
0.00558753 2.3839e-05
0.00563342 2.29946e-05
0.00567967 2.2176e-05
0.00572631 2.14256e-05
0.00577334 2.07387e-05
0.00582073 2.00857e-05
0.00586853 1.94712e-05
0.00591672 1.89067e-05
0.0059653 1.83993e-05
0.00601426 1.79193e-05
0.00606365 1.74929e-05
0.00611346 1.71164e-05
0.00616366 1.67564e-05
0.00621427 1.64513e-05
0.00626529 1.6144e-05
0.00631673 1.59131e-05
0.00636859 1.5687e-05
0.00642088 1.5548e-05
0.00647362 1.53983e-05
0.00652677 1.52847e-05
0.00658036 1.52419e-05
0.0066344 1.52003e-05
0.00668886 1.52201e-05
0.00674379 1.52454e-05
0.00679918 1.53308e-05
0.00685501 1.54502e-05
0.00691131 1.56285e-05
0.00696806 1.57756e-05
0.00702526 1.60385e-05
0.00708294 1.63103e-05
0.00714111 1.66354e-05
0.00719973 1.69822e-05
0.00725885 1.74317e-05
0.00731846 1.7934e-05
0.00737856 1.84204e-05
0.00743915 1.90217e-05
0.00750022 1.96544e-05
0.0075618 2.03861e-05
0.0076239 2.11728e-05
0.00768649 2.20377e-05
0.00774961 2.30199e-05
0.00781325 2.41205e-05
0.00787742 2.52513e-05
0.0079421 2.6475e-05
0.0080073 2.78788e-05
0.00807306 2.9476e-05
0.00813935 3.09093e-05
0.00820618 3.29785e-05
0.00827356 3.46284e-05
0.0083415 3.70867e-05
0.00840998 3.90752e-05
0.00847904 4.17915e-05
0.00854867 4.46232e-05
0.00861886 4.72424e-05
0.00868963 5.02836e-05
0.00876099 5.40632e-05
0.00883292 5.75883e-05
0.00890544 6.12364e-05
0.00897858 6.509e-05
0.00905231 6.90229e-05
0.00912663 7.31694e-05
0.00920156 7.68582e-05
0.00927713 8.06716e-05
0.0093533 8.52163e-05
0.0094301 8.73557e-05
0.00950753 8.90719e-05
0.0095856 9.15532e-05
0.00966431 8.96481e-05
0.00974367 8.91148e-05
0.00982367 8.62074e-05
0.00990433 8.3747e-05
0.00998566 7.79072e-05
0.0100677 7.54752e-05
0.0101503 7.02173e-05
0.0102337 6.51911e-05
0.0103177 6.02796e-05
0.0104024 5.60759e-05
0.0104878 5.21977e-05
0.010574 4.87679e-05
0.0106608 4.56431e-05
0.0107483 4.29733e-05
0.0108366 4.08685e-05
0.0109256 3.91893e-05
0.0110152 3.71257e-05
0.0111055 1.20311e-05
0.0111967 4.36765e-06
0.0112886 2.78909e-06
0.0113813 2.28515e-06
0.0114748 2.11914e-06
0.011569 2.09743e-06
0.011664 2.15344e-06
0.0117598 2.25902e-06
0.0118563 2.40773e-06
0.0119537 2.59676e-06
0.0120518 2.82011e-06
0.0121508 3.08407e-06
0.0122505 3.40126e-06
0.0123511 3.76141e-06
0.0124525 4.1798e-06
0.0125548 4.66893e-06
0.0126579 5.22182e-06
0.0127618 5.859e-06
0.0128666 6.57595e-06
0.0129722 7.39793e-06
0.0130787 8.33599e-06
0.0131861 9.36802e-06
0.0132944 1.05593e-05
0.0134035 1.18222e-05
0.0135136 1.32826e-05
0.0136245 1.48326e-05
0.0137363 1.65169e-05
0.0138491 1.83654e-05
0.0139628 2.0304e-05
0.0140774 2.2356e-05
0.014193 2.4633e-05
0.0143095 2.68471e-05
0.014427 2.91419e-05
0.0145454 3.13018e-05
0.0146648 3.32085e-05
0.0147852 3.48364e-05
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