# k P_nu(k)
# a = 0.028243
# nbins = 695
1.22718e-05 2.25965e+08
1.7355e-05 9.19615e+07
2.12555e-05 4.92645e+07
2.45437e-05 3.00752e+07
2.74407e-05 1.99351e+07
3.00598e-05 1.39979e+07
3.471e-05 7.80174e+06
3.68155e-05 6.06815e+06
3.8807e-05 4.83044e+06
4.07011e-05 3.9526e+06
4.25109e-05 3.27459e+06
4.42468e-05 2.76661e+06
4.5917e-05 2.35164e+06
4.90874e-05 1.7847e+06
5.05981e-05 1.56793e+06
5.2065e-05 1.39582e+06
5.34917e-05 1.23983e+06
5.48814e-05 1.11675e+06
5.62367e-05 1.01061e+06
5.75601e-05 921433
6.01195e-05 762798
6.13592e-05 702053
6.25744e-05 644665
6.37664e-05 594622
6.60859e-05 509662
6.72157e-05 472636
6.942e-05 411496
7.04964e-05 381188
7.15565e-05 353194
7.26012e-05 332317
7.36311e-05 309358
7.46467e-05 287577
7.56487e-05 272120
7.7614e-05 236936
7.85782e-05 223782
7.95307e-05 209105
8.04719e-05 195922
8.14022e-05 185463
8.2322e-05 174151
8.32317e-05 164675
8.50218e-05 147376
8.59029e-05 138887
8.67751e-05 131256
8.76385e-05 123964
8.84935e-05 119422
8.93404e-05 112544
9.01793e-05 106329
9.18341e-05 96639.6
9.26504e-05 91288.6
9.34596e-05 87368.9
9.42618e-05 82997.4
9.58462e-05 76093
9.66286e-05 72878.7
9.81748e-05 67160.1
9.89388e-05 64458.7
9.9697e-05 61784
0.000100947 57705.3
0.000101938 55262.2
0.000102674 53284.1
0.00010413 49665.3
0.000104851 47963.1
0.000105793 45814.4
0.000106983 43402.3
0.000107685 42163.7
0.000108382 41056.9
0.000109763 37897.6
0.000110447 37447.1
0.000111126 35988.6
0.00011207 34800.2
0.000113141 33109.1
0.000113804 32553.3
0.00011512 30665.6
0.000115772 29993.3
0.000116605 28914.3
0.000118768 26661.6
0.000120655 24937.6
0.000121732 23739.1
0.000122718 22755.5
0.000123466 22178.6
0.000125149 20727.8
0.000125749 20384.9
0.000126644 19671
0.000127941 18619.6
0.000128708 18209.9
0.000130739 16598.2
0.000131943 15900.2
0.000132953 15294.1
0.000134431 14426.9
0.000135328 13968.8
0.000136101 13331.6
0.000137477 12681
0.00013884 11793.6
0.000139516 11694.8
0.000140611 11127.5
0.000141939 10504.8
0.000143463 9812.47
0.000144385 9599.4
0.000145548 9052.58
0.000146631 8604.46
0.000148112 8194.95
0.00014952 7697.09
0.000150299 7503.82
0.000151832 6978.53
0.000152783 6806.41
0.000154045 6476.33
0.000155658 6036.14
0.00015665 5842.04
0.0001579 5542.12
0.000159354 5292.41
0.000160279 5152.35
0.000161626 4884.94
0.000163463 4621.25
0.000164644 4429.9
0.000165783 4297.53
0.000167197 4082.43
0.000168799 3907.34
0.000170423 3733.99
0.000171157 3621.75
0.000172744 3461.78
0.000174349 3317.68
0.00017592 3152.05
0.000177497 3022.54
0.000178723 2939.9
0.000180282 2809.39
0.000181376 2729.3
0.000182743 2620.09
0.000184551 2500.46
0.000185977 2406.25
0.000187589 2301.06
0.000188953 2195.38
0.000190863 2096.33
0.000192158 2023.06
0.000193916 1928.01
0.000195504 1826.58
0.000197181 1748.04
0.000198613 1668.13
0.000200148 1591.5
0.000201721 1519.51
0.000203587 1441.91
0.00020541 1362.14
0.000207172 1289.51
0.000208922 1232.6
0.000210371 1176.73
0.000212078 1119.43
0.000214191 1055.11
0.000215596 1019.17
0.00021743 961.734
0.000219259 914.162
0.000221084 868.483
0.00022283 831.53
0.000224493 801.297
0.000226376 756.203
0.000228421 725.033
0.000230288 696.184
0.000231928 667.127
0.00023399 632.668
0.000236053 604.841
0.000237805 585.662
0.000239779 556.45
0.000241744 536.728
0.000243673 512.029
0.000245757 491.414
0.000247871 469.433
0.00024984 450.786
0.000251597 432.062
0.000253565 413.133
0.000256 391.347
0.000258364 372.636
0.000260499 355.618
0.000262417 338.299
0.000264367 324.157
0.000266592 307.183
0.000268987 291.855
0.000271108 278.393
0.000273349 264.142
0.000275546 250.471
0.000277706 239.473
0.000280204 226.282
0.000282696 216.586
0.000284955 206.131
0.000287036 196.286
0.000289296 187.711
0.000291909 179.127
0.000294404 170.845
0.000296654 164.14
0.000299082 157.392
0.000301403 149.922
0.000303861 142.946
0.000306413 136.495
0.000308749 130.477
0.000311525 124.325
0.000313955 119.156
0.000316471 113.728
0.000319321 108.464
0.000322008 102.605
0.000324666 97.8048
0.00032719 93.145
0.000329929 89.0016
0.000332507 85.0406
0.000335216 81.0295
0.000337986 76.8516
0.000340927 72.7295
0.000343668 69.1958
0.000346605 65.7975
0.000349164 63.1343
0.000352165 59.6722
0.000355188 56.8561
0.000358008 54.6388
0.000361098 51.8124
0.000363971 49.436
0.00036707 46.9093
0.000369977 45.0748
0.000373107 42.7912
0.000376085 40.9548
0.000379074 38.9995
0.000382228 37.1105
0.00038541 35.4902
0.000388542 33.8
0.000391757 32.0462
0.000394981 30.6432
0.000398111 28.9765
0.000401474 27.5957
0.000404717 26.3014
0.000407935 25.1097
0.000411525 23.8034
0.000414686 22.8543
0.000418155 21.7335
0.00042175 20.654
0.000425291 19.5305
0.000428636 18.6521
0.000432208 17.784
0.0004357 17.021
0.000439332 16.18
0.000442787 15.4155
0.000446449 14.6921
0.000450291 13.9405
0.000453801 13.3689
0.000457447 12.6683
0.000461323 12.0619
0.000465014 11.4767
0.000468866 10.9303
0.000472806 10.3681
0.00047678 9.8872
0.000480624 9.37894
0.000484555 8.97783
0.000488474 8.54715
0.000492396 8.1217
0.000496538 7.7519
0.000500678 7.3713
0.000504761 7.01904
0.000508767 6.68264
0.000512959 6.35346
0.000517253 6.05605
0.000521544 5.73359
0.000525774 5.48358
0.000530168 5.20593
0.000534431 4.9482
0.00053878 4.68978
0.000543223 4.47774
0.000547788 4.26842
0.000552163 4.05938
0.000556755 3.86115
0.000561463 3.65711
0.000566064 3.49455
0.000570587 3.32738
0.000575277 3.14348
0.000580056 3.00205
0.000584753 2.87364
0.000589576 2.72183
0.000594327 2.59679
0.000599226 2.46323
0.000604166 2.34151
0.000609275 2.22489
0.000614265 2.12009
0.000619191 2.02432
0.000624415 1.91448
0.000629458 1.82539
0.00063466 1.73393
0.00063975 1.65278
0.00064489 1.57282
0.000650271 1.49827
0.000655619 1.42011
0.000661178 1.34873
0.000666601 1.28261
0.00067198 1.21861
0.000677465 1.16566
0.000682952 1.11003
0.000688602 1.04901
0.000694365 1.00186
0.000699968 0.953219
0.00070566 0.901994
0.000711633 0.858148
0.000717351 0.816995
0.000723301 0.775623
0.000729237 0.739166
0.00073526 0.700475
0.000741287 0.667215
0.000747431 0.634067
0.000753573 0.604669
0.000759705 0.574879
0.000765936 0.544896
0.000772341 0.519226
0.000778615 0.493416
0.000785031 0.469352
0.000791493 0.44366
0.000797999 0.423469
0.000804499 0.401785
0.000811074 0.383029
0.000817707 0.363483
0.000824546 0.34509
0.000831271 0.327864
0.000838002 0.311656
0.000844949 0.296515
0.000851929 0.28286
0.000858954 0.267315
0.000865919 0.254969
0.000873072 0.241893
0.000880195 0.23028
0.000887393 0.218073
0.000894783 0.207735
0.000902097 0.196967
0.00090951 0.18763
0.000916929 0.178341
0.000924423 0.168998
0.00093206 0.160655
0.000939669 0.152609
0.000947384 0.145189
0.000955222 0.138235
0.000963012 0.131347
0.00097096 0.124638
0.000978975 0.118501
0.000986946 0.11205
0.000995044 0.106846
0.00100317 0.101549
0.00101134 0.0966302
0.00101966 0.0920145
0.00102811 0.0869811
0.0010366 0.0826261
0.00104515 0.0784417
0.00105367 0.074624
0.0010623 0.070514
0.00107099 0.0674051
0.00107984 0.0638867
0.00108877 0.0608091
0.00109754 0.0577699
0.00110658 0.0549357
0.00111585 0.0520311
0.001125 0.0493569
0.00113422 0.0469752
0.00114355 0.0445031
0.00115284 0.0421939
0.0011623 0.0402138
0.00117183 0.0381839
0.00118147 0.0362184
0.00119124 0.0344842
0.00120099 0.0328987
0.00121082 0.0311633
0.00122077 0.0295214
0.00123083 0.028036
0.00124092 0.0266304
0.00125109 0.0252344
0.00126141 0.0239285
0.00127177 0.022849
0.00128216 0.021675
0.00129272 0.0205698
0.00130337 0.0195032
0.00131407 0.0185358
0.00132486 0.0175819
0.00133574 0.0166885
0.00134668 0.0158982
0.0013577 0.015063
0.0013688 0.0143004
0.00138009 0.0136071
0.00139144 0.0128472
0.00140285 0.0122259
0.00141438 0.0116264
0.0014259 0.0110423
0.00143763 0.0104764
0.00144946 0.00998422
0.00146138 0.00946791
0.00147343 0.00895585
0.00148553 0.00850482
0.00149773 0.00806824
0.00150998 0.00767692
0.00152238 0.00727609
0.00153493 0.0069137
0.00154754 0.0065747
0.0015602 0.00623902
0.00157297 0.00592427
0.00158593 0.00560475
0.00159901 0.00532287
0.00161212 0.0050522
0.00162533 0.00480388
0.00163867 0.00454522
0.00165213 0.00433455
0.00166568 0.0041069
0.00167936 0.00389471
0.00169314 0.00370219
0.00170706 0.00351034
0.00172108 0.00333553
0.00173519 0.00316742
0.00174947 0.00299926
0.00176388 0.00285138
0.00177833 0.00270922
0.00179289 0.00256773
0.00180762 0.00243751
0.0018225 0.00231356
0.00183749 0.00219718
0.00185259 0.00208299
0.00186776 0.00197434
0.00188308 0.00187581
0.00189858 0.00178242
0.00191415 0.00169258
0.00192986 0.00160507
0.00194568 0.00152512
0.00196164 0.00144765
0.00197781 0.00137453
0.00199407 0.00130393
0.00201041 0.00123967
0.0020269 0.00117806
0.00204357 0.00111442
0.00206031 0.00106111
0.00207723 0.00100537
0.00209433 0.000956015
0.00211151 0.000906106
0.00212883 0.0008603
0.00214631 0.000817656
0.00216395 0.00077562
0.00218171 0.000737361
0.00219964 0.000700812
0.0022177 0.000666214
0.00223591 0.000631316
0.00225426 0.000599695
0.00227273 0.000569003
0.00229144 0.000541904
0.00231024 0.000515218
0.00232919 0.0004889
0.00234835 0.000464417
0.00236765 0.000441867
0.00238708 0.000418876
0.00240668 0.000398448
0.00242645 0.000379431
0.00244635 0.000359538
0.00246642 0.000341471
0.00248668 0.000325468
0.00250712 0.000309192
0.0025277 0.00029493
0.00254846 0.000280042
0.00256938 0.000265827
0.00259045 0.000252797
0.00261172 0.000241323
0.00263319 0.000229161
0.00265482 0.000217693
0.0026766 0.00020732
0.00269857 0.000197963
0.00272074 0.00018833
0.00274311 0.000179165
0.00276562 0.000170449
0.00278831 0.000162273
0.00281122 0.000154456
0.00283428 0.000147236
0.00285753 0.000139945
0.00288102 0.000133886
0.00290469 0.000127351
0.00292852 0.000121076
0.00295255 0.000115491
0.00297682 0.000109803
0.00300132 0.000104639
0.00302595 9.97948e-05
0.00305077 9.47427e-05
0.00307582 9.00898e-05
0.00310109 8.59214e-05
0.00312652 8.18604e-05
0.00315219 7.77784e-05
0.00317808 7.39732e-05
0.00320418 7.03688e-05
0.00323049 6.692e-05
0.003257 6.37666e-05
0.00328375 6.05249e-05
0.00331073 5.75226e-05
0.00333793 5.47325e-05
0.00336532 5.20879e-05
0.00339295 4.955e-05
0.00342081 4.70573e-05
0.0034489 4.4702e-05
0.00347724 4.25476e-05
0.00350579 4.03798e-05
0.00353457 3.84298e-05
0.00356356 3.65873e-05
0.0035928 3.46273e-05
0.0036223 3.3024e-05
0.00365206 3.13866e-05
0.00368208 2.98312e-05
0.00371232 2.82879e-05
0.0037428 2.68932e-05
0.00377353 2.55963e-05
0.00380451 2.43116e-05
0.00383574 2.30677e-05
0.00386724 2.19523e-05
0.00389899 2.08276e-05
0.003931 1.98242e-05
0.0039633 1.87927e-05
0.00399584 1.78441e-05
0.00402865 1.69928e-05
0.00406173 1.61371e-05
0.00409507 1.53205e-05
0.00412871 1.45663e-05
0.00416262 1.385e-05
0.0041968 1.31488e-05
0.00423127 1.24685e-05
0.004266 1.18576e-05
0.00430101 1.12768e-05
0.00433633 1.07313e-05
0.00437195 1.01895e-05
0.00440786 9.69129e-06
0.00444405 9.20677e-06
0.00448053 8.75726e-06
0.00451731 8.33122e-06
0.0045544 7.91465e-06
0.00459181 7.54194e-06
0.00462953 7.17595e-06
0.00466752 6.83303e-06
0.00470583 6.50756e-06
0.00474448 6.19128e-06
0.00478347 5.90146e-06
0.00482275 5.62772e-06
0.00486234 5.36437e-06
0.00490225 5.1091e-06
0.0049425 4.88682e-06
0.0049831 4.65661e-06
0.00502401 4.44914e-06
0.00506526 4.25187e-06
0.00510687 4.05724e-06
0.00514879 3.88534e-06
0.00519107 3.71491e-06
0.0052337 3.55738e-06
0.00527667 3.41083e-06
0.00532001 3.26745e-06
0.00536367 3.13664e-06
0.00540771 3.01285e-06
0.00545214 2.89192e-06
0.0054969 2.78233e-06
0.00554203 2.67868e-06
0.00558753 2.58071e-06
0.00563342 2.49041e-06
0.00567967 2.40137e-06
0.00572631 2.32323e-06
0.00577334 2.24603e-06
0.00582073 2.1751e-06
0.00586853 2.10709e-06
0.00591672 2.04498e-06
0.0059653 1.98821e-06
0.00601426 1.93361e-06
0.00606365 1.88416e-06
0.00611346 1.84127e-06
0.00616366 1.79814e-06
0.00621427 1.7595e-06
0.00626529 1.72533e-06
0.00631673 1.69282e-06
0.00636859 1.66496e-06
0.00642088 1.64437e-06
0.00647362 1.61908e-06
0.00652677 1.60115e-06
0.00658036 1.58947e-06
0.0066344 1.57689e-06
0.00668886 1.56979e-06
0.00674379 1.5653e-06
0.00679918 1.56528e-06
0.00685501 1.5677e-06
0.00691131 1.57707e-06
0.00696806 1.58645e-06
0.00702526 1.60544e-06
0.00708294 1.62486e-06
0.00714111 1.65235e-06
0.00719973 1.68273e-06
0.00725885 1.72038e-06
0.00731846 1.76925e-06
0.00737856 1.82065e-06
0.00743915 1.88335e-06
0.00750022 1.95081e-06
0.0075618 2.03652e-06
0.0076239 2.12873e-06
0.00768649 2.23274e-06
0.00774961 2.35799e-06
0.00781325 2.51216e-06
0.00787742 2.66827e-06
0.0079421 2.85019e-06
0.0080073 3.06576e-06
0.00807306 3.33392e-06
0.00813935 3.59061e-06
0.00820618 3.97002e-06
0.00827356 4.32385e-06
0.0083415 4.84243e-06
0.00840998 5.33511e-06
0.00847904 6.02214e-06
0.00854867 6.84177e-06
0.00861886 7.72716e-06
0.00868963 8.80523e-06
0.00876099 1.0389e-05
0.00883292 1.21064e-05
0.00890544 1.43044e-05
0.00897858 1.71106e-05
0.00905231 2.04399e-05
0.00912663 2.47882e-05
0.00920156 3.01345e-05
0.00927713 3.83102e-05
0.0093533 4.91066e-05
0.0094301 5.70828e-05
0.00950753 6.27599e-05
0.0095856 6.77534e-05
0.00966431 5.0109e-05
0.00974367 4.23402e-05
0.00982367 3.11485e-05
0.00990433 2.56338e-05
0.00998566 1.90788e-05
0.0100677 1.59026e-05
0.0101503 1.257e-05
0.0102337 1.01151e-05
0.0103177 8.31439e-06
0.0104024 6.97381e-06
0.0104878 5.95005e-06
0.010574 5.16244e-06
0.0106608 4.54849e-06
0.0107483 4.08709e-06
0.0108366 3.75641e-06
0.0109256 3.52948e-06
0.0110152 3.31033e-06
0.0111055 1.08592e-06
0.0111967 3.84911e-07
0.0112886 2.56252e-07
0.0113813 2.26033e-07
0.0114748 2.25525e-07
0.011569 2.37722e-07
0.011664 2.5819e-07
0.0117598 2.86048e-07
0.0118563 3.21838e-07
0.0119537 3.67615e-07
0.0120518 4.24839e-07
0.0121508 4.94644e-07
0.0122505 5.8909e-07
0.0123511 7.0285e-07
0.0124525 8.51222e-07
0.0125548 1.04721e-06
0.0126579 1.29481e-06
0.0127618 1.61698e-06
0.0128666 2.02977e-06
0.0129722 2.56422e-06
0.0130787 3.29026e-06
0.0131861 4.03386e-06
0.0132944 5.06817e-06
0.0134035 5.85518e-06
0.0135136 6.76054e-06
0.0136245 7.04813e-06
0.0137363 7.03633e-06
0.0138491 6.79383e-06
0.0139628 6.43364e-06
0.0140774 6.01298e-06
0.014193 5.72783e-06
0.0143095 5.36583e-06
0.014427 5.12875e-06
0.0145454 4.88912e-06
0.0146648 4.7149e-06
0.0147852 4.51555e-06
0.0149065 4.26533e-06
0.0150288 3.93845e-06
0.0151522 3.52964e-06
0.0152765 2.97951e-06
0.0154018 2.32449e-06
0.0155281 1.44602e-06
0.0156556 6.3139e-07
0.0157843 6.3439e-07
0.0159139 8.35503e-07
0.0160445 1.12286e-06
0.0161763 1.53388e-06
0.0163091 2.0567e-06
0.0164429 2.70356e-06
0.0165779 3.46473e-06
0.0167139 4.28471e-06
0.0168511 5.22562e-06
0.0169894 6.17185e-06
0.0171288 7.29114e-06
0.0172693 8.52265e-06
0.0174109 1.00114e-05
0.0175537 1.17975e-05
0.0176976 1.40847e-05
0.0178426 1.67353e-05
0.0179887 2.00265e-05
0.018136 2.36831e-05
0.0182842 2.77515e-05
0.0184332 3.20073e-05
0.0185832 3.6442e-05
0.0187336 4.05608e-05
0.0188802 4.4291e-05
0.0190113 4.77511e-05
0.0191299 0.000153222