# k P_nu(k)
# a = 0.586523
# nbins = 695
1.22718e-05 1.90629e+12
1.7355e-05 1.17036e+12
2.12555e-05 7.93752e+11
2.45437e-05 5.61042e+11
2.74407e-05 4.18035e+11
3.00598e-05 3.24958e+11
3.471e-05 2.18655e+11
3.68155e-05 1.72746e+11
3.8807e-05 1.38143e+11
4.07011e-05 1.24717e+11
4.25109e-05 1.05081e+11
4.42468e-05 9.5573e+10
4.5917e-05 7.95021e+10
4.90874e-05 7.07004e+10
5.05981e-05 6.12941e+10
5.2065e-05 5.89395e+10
5.34917e-05 4.92121e+10
5.48814e-05 4.68043e+10
5.62367e-05 4.39211e+10
5.75601e-05 4.32115e+10
6.01195e-05 3.33571e+10
6.13592e-05 3.3057e+10
6.25744e-05 2.9772e+10
6.37664e-05 2.79422e+10
6.60859e-05 2.53355e+10
6.72157e-05 2.35882e+10
6.942e-05 2.38097e+10
7.04964e-05 2.04639e+10
7.15565e-05 1.71875e+10
7.26012e-05 1.87773e+10
7.36311e-05 1.67928e+10
7.46467e-05 1.38942e+10
7.56487e-05 1.55176e+10
7.7614e-05 1.22527e+10
7.85782e-05 1.27305e+10
7.95307e-05 1.1167e+10
8.04719e-05 9.79099e+09
8.14022e-05 1.05525e+10
8.2322e-05 9.14112e+09
8.32317e-05 9.30446e+09
8.50218e-05 8.39613e+09
8.59029e-05 8.2546e+09
8.67751e-05 7.69468e+09
8.76385e-05 7.01892e+09
8.84935e-05 8.66134e+09
8.93404e-05 7.42482e+09
9.01793e-05 6.58099e+09
9.18341e-05 6.52951e+09
9.26504e-05 5.34822e+09
9.34596e-05 5.64998e+09
9.42618e-05 4.97828e+09
9.58462e-05 4.79353e+09
9.66286e-05 4.58119e+09
9.81748e-05 4.46277e+09
9.89388e-05 4.44775e+09
9.9697e-05 4.04127e+09
0.000100947 3.4688e+09
0.000101938 3.99234e+09
0.000102674 3.77398e+09
0.00010413 3.73851e+09
0.000104851 3.52332e+09
0.000105793 3.17297e+09
0.000106983 2.95164e+09
0.000107685 3.205e+09
0.000108382 3.27523e+09
0.000109763 2.46165e+09
0.000110447 2.84205e+09
0.000111126 2.38566e+09
0.00011207 2.56875e+09
0.000113141 2.20687e+09
0.000113804 2.52107e+09
0.00011512 2.14445e+09
0.000115772 2.27999e+09
0.000116605 2.14773e+09
0.000118768 2.02586e+09
0.000120655 2.09102e+09
0.000121732 1.79176e+09
0.000122718 1.74814e+09
0.000123466 1.72246e+09
0.000125149 1.47206e+09
0.000125749 1.69196e+09
0.000126644 1.60581e+09
0.000127941 1.47066e+09
0.000128708 1.66384e+09
0.000130739 1.24136e+09
0.000131943 1.29257e+09
0.000132953 1.35817e+09
0.000134431 1.24139e+09
0.000135328 1.23709e+09
0.000136101 9.90074e+08
0.000137477 1.03013e+09
0.00013884 7.57617e+08
0.000139516 1.03451e+09
0.000140611 9.59794e+08
0.000141939 8.8606e+08
0.000143463 7.53149e+08
0.000144385 9.01531e+08
0.000145548 7.83145e+08
0.000146631 6.79786e+08
0.000148112 7.495e+08
0.00014952 6.71559e+08
0.000150299 6.65022e+08
0.000151832 5.6725e+08
0.000152783 6.49038e+08
0.000154045 6.32217e+08
0.000155658 5.24865e+08
0.00015665 5.41399e+08
0.0001579 4.70946e+08
0.000159354 4.97566e+08
0.000160279 5.26649e+08
0.000161626 4.5867e+08
0.000163463 4.73321e+08
0.000164644 4.42784e+08
0.000165783 4.1947e+08
0.000167197 4.08544e+08
0.000168799 3.87983e+08
0.000170423 4.09763e+08
0.000171157 3.51845e+08
0.000172744 3.32776e+08
0.000174349 3.23224e+08
0.00017592 3.06225e+08
0.000177497 2.90162e+08
0.000178723 3.02542e+08
0.000180282 2.87622e+08
0.000181376 2.87526e+08
0.000182743 2.55561e+08
0.000184551 2.60207e+08
0.000185977 2.52185e+08
0.000187589 2.37356e+08
0.000188953 2.16728e+08
0.000190863 2.25688e+08
0.000192158 2.18431e+08
0.000193916 2.13502e+08
0.000195504 1.91974e+08
0.000197181 2.00346e+08
0.000198613 1.72666e+08
0.000200148 1.65769e+08
0.000201721 1.58359e+08
0.000203587 1.63608e+08
0.00020541 1.48503e+08
0.000207172 1.41369e+08
0.000208922 1.52471e+08
0.000210371 1.38454e+08
0.000212078 1.28695e+08
0.000214191 1.17672e+08
0.000215596 1.2485e+08
0.00021743 1.04719e+08
0.000219259 1.04239e+08
0.000221084 9.90601e+07
0.00022283 9.14734e+07
0.000224493 9.37644e+07
0.000226376 8.6209e+07
0.000228421 8.43957e+07
0.000230288 8.6139e+07
0.000231928 7.54419e+07
0.00023399 7.42088e+07
0.000236053 6.65954e+07
0.000237805 7.1982e+07
0.000239779 6.37315e+07
0.000241744 6.81614e+07
0.000243673 5.92624e+07
0.000245757 6.08212e+07
0.000247871 5.806e+07
0.00024984 5.55482e+07
0.000251597 5.44232e+07
0.000253565 5.24785e+07
0.000256 5.2379e+07
0.000258364 4.79055e+07
0.000260499 5.00949e+07
0.000262417 4.67244e+07
0.000264367 4.25764e+07
0.000266592 3.76819e+07
0.000268987 3.50863e+07
0.000271108 3.82377e+07
0.000273349 3.4991e+07
0.000275546 3.43842e+07
0.000277706 3.10687e+07
0.000280204 2.95435e+07
0.000282696 3.12629e+07
0.000284955 3.10277e+07
0.000287036 2.69583e+07
0.000289296 2.62655e+07
0.000291909 2.58951e+07
0.000294404 2.46355e+07
0.000296654 2.45872e+07
0.000299082 2.46279e+07
0.000301403 2.36865e+07
0.000303861 2.11336e+07
0.000306413 1.99699e+07
0.000308749 1.91065e+07
0.000311525 1.89236e+07
0.000313955 1.72189e+07
0.000316471 1.73665e+07
0.000319321 1.74278e+07
0.000322008 1.55901e+07
0.000324666 1.47057e+07
0.00032719 1.43681e+07
0.000329929 1.39926e+07
0.000332507 1.31236e+07
0.000335216 1.34794e+07
0.000337986 1.20624e+07
0.000340927 1.16219e+07
0.000343668 1.13834e+07
0.000346605 1.08941e+07
0.000349164 1.05599e+07
0.000352165 9.88787e+06
0.000355188 9.71105e+06
0.000358008 9.23373e+06
0.000361098 8.44584e+06
0.000363971 8.61196e+06
0.00036707 7.91167e+06
0.000369977 7.65696e+06
0.000373107 7.43094e+06
0.000376085 7.76012e+06
0.000379074 7.05027e+06
0.000382228 6.84688e+06
0.00038541 6.40438e+06
0.000388542 6.19666e+06
0.000391757 5.85216e+06
0.000394981 5.57372e+06
0.000398111 5.35498e+06
0.000401474 5.1269e+06
0.000404717 5.0445e+06
0.000407935 4.82835e+06
0.000411525 4.65165e+06
0.000414686 4.36235e+06
0.000418155 4.25152e+06
0.00042175 3.97703e+06
0.000425291 3.85657e+06
0.000428636 3.70621e+06
0.000432208 3.43076e+06
0.0004357 3.47089e+06
0.000439332 3.30769e+06
0.000442787 3.17208e+06
0.000446449 3.12924e+06
0.000450291 2.8793e+06
0.000453801 2.91029e+06
0.000457447 2.71939e+06
0.000461323 2.58856e+06
0.000465014 2.50354e+06
0.000468866 2.37215e+06
0.000472806 2.33319e+06
0.00047678 2.19467e+06
0.000480624 2.13308e+06
0.000484555 2.0585e+06
0.000488474 2.02119e+06
0.000492396 1.85658e+06
0.000496538 1.79589e+06
0.000500678 1.7435e+06
0.000504761 1.67718e+06
0.000508767 1.56514e+06
0.000512959 1.54762e+06
0.000517253 1.43862e+06
0.000521544 1.39332e+06
0.000525774 1.3566e+06
0.000530168 1.30336e+06
0.000534431 1.25979e+06
0.00053878 1.21576e+06
0.000543223 1.16122e+06
0.000547788 1.12103e+06
0.000552163 1.06462e+06
0.000556755 992259
0.000561463 1.00045e+06
0.000566064 917095
0.000570587 891039
0.000575277 857102
0.000580056 840037
0.000584753 797966
0.000589576 769117
0.000594327 752537
0.000599226 730615
0.000604166 680087
0.000609275 651569
0.000614265 620437
0.000619191 608781
0.000624415 582559
0.000629458 548158
0.00063466 548950
0.00063975 516248
0.00064489 487036
0.000650271 482587
0.000655619 462659
0.000661178 430532
0.000666601 416074
0.00067198 402458
0.000677465 388544
0.000682952 365540
0.000688602 357612
0.000694365 337859
0.000699968 329452
0.00070566 319804
0.000711633 307616
0.000717351 294616
0.000723301 283373
0.000729237 263487
0.00073526 255568
0.000741287 248140
0.000747431 239061
0.000753573 233075
0.000759705 223021
0.000765936 212476
0.000772341 204881
0.000778615 196485
0.000785031 187682
0.000791493 183692
0.000797999 173112
0.000804499 167323
0.000811074 162000
0.000817707 154341
0.000824546 147704
0.000831271 142858
0.000838002 136515
0.000844949 131219
0.000851929 127795
0.000858954 122333
0.000865919 117383
0.000873072 112405
0.000880195 108864
0.000887393 103184
0.000894783 98743
0.000902097 95002.7
0.00090951 90171.3
0.000916929 88050.5
0.000924423 84955.8
0.00093206 81955.8
0.000939669 79133.1
0.000947384 75365.3
0.000955222 72322.9
0.000963012 69984
0.00097096 67523.5
0.000978975 65193
0.000986946 61695.5
0.000995044 59383
0.00100317 57122.1
0.00101134 54750.7
0.00101966 52436.5
0.00102811 50766.2
0.0010366 48313.9
0.00104515 46650.1
0.00105367 45022.8
0.0010623 42863.4
0.00107099 41379.8
0.00107984 39937.3
0.00108877 38206.2
0.00109754 36602.1
0.00110658 35461.7
0.00111585 33727.4
0.001125 32962.3
0.00113422 31182.8
0.00114355 30422.3
0.00115284 29015.1
0.0011623 27910.5
0.00117183 26839.3
0.00118147 25605.8
0.00119124 24743.5
0.00120099 23560.3
0.00121082 22708.8
0.00122077 22001.6
0.00123083 21041.6
0.00124092 20283.6
0.00125109 19503.9
0.00126141 18750.1
0.00127177 17938.7
0.00128216 17226.2
0.00129272 16503
0.00130337 15980.7
0.00131407 15296.2
0.00132486 14543.2
0.00133574 14091.1
0.00134668 13489.5
0.0013577 12995.9
0.0013688 12558.5
0.00138009 12027.8
0.00139144 11555.4
0.00140285 11071.5
0.00141438 10642.1
0.0014259 10288.6
0.00143763 9852.27
0.00144946 9432.17
0.00146138 9055.52
0.00147343 8637.02
0.00148553 8348.74
0.00149773 8024.77
0.00150998 7654.72
0.00152238 7422.01
0.00153493 7087.31
0.00154754 6817.21
0.0015602 6525.02
0.00157297 6251.98
0.00158593 6035.94
0.00159901 5790.65
0.00161212 5545.22
0.00162533 5358.78
0.00163867 5130.68
0.00165213 4960.32
0.00166568 4705.79
0.00167936 4517.41
0.00169314 4347.88
0.00170706 4169.68
0.00172108 4002.79
0.00173519 3832.8
0.00174947 3685.06
0.00176388 3548.55
0.00177833 3393.86
0.00179289 3264.9
0.00180762 3123.13
0.0018225 2995.98
0.00183749 2870.39
0.00185259 2757.5
0.00186776 2654.08
0.00188308 2543.83
0.00189858 2435.08
0.00191415 2336.28
0.00192986 2237.27
0.00194568 2148.34
0.00196164 2052.61
0.00197781 1981.68
0.00199407 1891.1
0.00201041 1819.22
0.0020269 1740.58
0.00204357 1665.6
0.00206031 1598.06
0.00207723 1536.2
0.00209433 1472.75
0.00211151 1411.65
0.00212883 1353.61
0.00214631 1297.12
0.00216395 1239.86
0.00218171 1189.98
0.00219964 1142.3
0.0022177 1090.09
0.00223591 1048.88
0.00225426 1001.95
0.00227273 960.703
0.00229144 921.771
0.00231024 882.145
0.00232919 845.025
0.00234835 806.508
0.00236765 775.269
0.00238708 741.895
0.00240668 711.363
0.00242645 682.817
0.00244635 651.611
0.00246642 622.719
0.00248668 598.718
0.00250712 572.454
0.0025277 548.184
0.00254846 523.362
0.00256938 500.746
0.00259045 480.823
0.00261172 460.366
0.00263319 439.54
0.00265482 420.259
0.0026766 402.802
0.00269857 386.021
0.00272074 369.079
0.00274311 352.307
0.00276562 338.442
0.00278831 322.18
0.00281122 308.897
0.00283428 295.726
0.00285753 283.223
0.00288102 270.118
0.00290469 258.601
0.00292852 247.657
0.00295255 236.211
0.00297682 226.47
0.00300132 216.534
0.00302595 207.05
0.00305077 197.47
0.00307582 189.588
0.00310109 180.896
0.00312652 173.3
0.00315219 165.56
0.00317808 158.422
0.00320418 151.147
0.00323049 144.427
0.003257 138.056
0.00328375 131.873
0.00331073 125.8
0.00333793 120.638
0.00336532 115.132
0.00339295 110.119
0.00342081 105.148
0.0034489 100.31
0.00347724 95.8746
0.00350579 91.6106
0.00353457 87.5717
0.00356356 83.607
0.0035928 79.7381
0.0036223 76.188
0.00365206 72.7868
0.00368208 69.5352
0.00371232 66.394
0.0037428 63.4148
0.00377353 60.5726
0.00380451 57.8318
0.00383574 55.2553
0.00386724 52.7136
0.00389899 50.3125
0.003931 48.0506
0.0039633 45.8867
0.00399584 43.7892
0.00402865 41.7764
0.00406173 39.9105
0.00409507 38.0558
0.00412871 36.3383
0.00416262 34.6787
0.0041968 33.0626
0.00423127 31.5926
0.004266 30.1256
0.00430101 28.7433
0.00433633 27.4685
0.00437195 26.1741
0.00440786 24.9834
0.00444405 23.8459
0.00448053 22.7541
0.00451731 21.7018
0.0045544 20.739
0.00459181 19.7671
0.00462953 18.8485
0.00466752 17.9678
0.00470583 17.151
0.00474448 16.3453
0.00478347 15.6056
0.00482275 14.8873
0.00486234 14.2016
0.00490225 13.5328
0.0049425 12.9025
0.0049831 12.3054
0.00502401 11.7376
0.00506526 11.1983
0.00510687 10.6779
0.00514879 10.1798
0.00519107 9.70415
0.0052337 9.2525
0.00527667 8.82818
0.00532001 8.41396
0.00536367 8.01357
0.00540771 7.64682
0.00545214 7.29036
0.0054969 6.95102
0.00554203 6.62824
0.00558753 6.31843
0.00563342 6.02642
0.00567967 5.73975
0.00572631 5.47059
0.00577334 5.21548
0.00582073 4.97148
0.00586853 4.74032
0.00591672 4.51734
0.0059653 4.30637
0.00601426 4.10613
0.00606365 3.91315
0.00611346 3.73061
0.00616366 3.55423
0.00621427 3.38382
0.00626529 3.22894
0.00631673 3.07389
0.00636859 2.93042
0.00642088 2.79353
0.00647362 2.66409
0.00652677 2.53644
0.00658036 2.41812
0.0066344 2.30546
0.00668886 2.19506
0.00674379 2.09233
0.00679918 1.99287
0.00685501 1.89998
0.00691131 1.81034
0.00696806 1.72436
0.00702526 1.64328
0.00708294 1.56692
0.00714111 1.49318
0.00719973 1.42299
0.00725885 1.35538
0.00731846 1.2916
0.00737856 1.23097
0.00743915 1.17286
0.00750022 1.11838
0.0075618 1.06551
0.0076239 1.01516
0.00768649 0.967267
0.00774961 0.922061
0.00781325 0.87894
0.00787742 0.837558
0.0079421 0.798225
0.0080073 0.760911
0.00807306 0.725186
0.00813935 0.691198
0.00820618 0.659034
0.00827356 0.628295
0.0083415 0.598878
0.00840998 0.571141
0.00847904 0.544751
0.00854867 0.519419
0.00861886 0.495511
0.00868963 0.472515
0.00876099 0.450808
0.00883292 0.429881
0.00890544 0.410474
0.00897858 0.391628
0.00905231 0.37392
0.00912663 0.356947
0.00920156 0.34092
0.00927713 0.325683
0.0093533 0.311167
0.0094301 0.29747
0.00950753 0.28426
0.0095856 0.271858
0.00966431 0.260067
0.00974367 0.248884
0.00982367 0.238414
0.00990433 0.22825
0.00998566 0.218701
0.0100677 0.209716
0.0101503 0.201246
0.0102337 0.193217
0.0103177 0.185557
0.0104024 0.17845
0.0104878 0.171715
0.010574 0.165371
0.0106608 0.159491
0.0107483 0.153836
0.0108366 0.148641
0.0109256 0.143779
0.0110152 0.139255
0.0111055 0.13375
0.0111967 0.12783
0.0112886 0.122287
0.0113813 0.116938
0.0114748 0.111832
0.011569 0.106996
0.011664 0.102392
0.0117598 0.0979958
0.0118563 0.0938597
0.0119537 0.0898605
0.0120518 0.0860724
0.0121508 0.08249
0.0122505 0.0790501
0.0123511 0.0758342
0.0124525 0.0727366
0.0125548 0.0697905
0.0126579 0.0670304
0.0127618 0.0643916
0.0128666 0.0619069
0.0129722 0.0595243
0.0130787 0.0572728
0.0131861 0.0551402
0.0132944 0.053142
0.0134035 0.051256
0.0135136 0.0494769
0.0136245 0.0477793
0.0137363 0.0461996
0.0138491 0.0447216
0.0139628 0.0433288
0.0140774 0.0420386
0.014193 0.040816
0.0143095 0.0396468
0.014427 0.0386028
0.0145454 0.0376116
0.0146648 0.036675
0.0147852 0.0357911
0.0149065 0.0349458
0.0150288 0.0341108
0.0151522 0.0332966
0.0152765 0.032409
0.0154018 0.0314473
0.0155281 0.0302853
0.0156556 0.0289257
0.0157843 0.0277998
0.0159139 0.0268696
0.0160445 0.0260419
0.0161763 0.0252997
0.0163091 0.0246564
0.0164429 0.024076
0.0165779 0.0235968
0.0167139 0.0231527
0.0168511 0.0227983
0.0169894 0.022524
0.0171288 0.0223105
0.0172693 0.0222062
0.0174109 0.0221568
0.0175537 0.0221929
0.0176976 0.0223295
0.0178426 0.0225794
0.0179887 0.0229295
0.018136 0.0234605
0.0182842 0.0241019
0.0184332 0.0249207
0.0185832 0.0258519
0.0187336 0.026971
0.0188802 0.0283371
0.0190113 0.0299616
0.0191299 0.00682723