# k P_nu(k)
# a = 0.198226
# nbins = 695
1.22718e-05 1.08576e+11
1.7355e-05 5.74052e+10
2.12555e-05 3.56104e+10
2.45437e-05 2.3896e+10
2.74407e-05 1.70369e+10
3.00598e-05 1.27162e+10
3.471e-05 7.8677e+09
3.68155e-05 6.24238e+09
3.8807e-05 5.03776e+09
4.07011e-05 4.31877e+09
4.25109e-05 3.63733e+09
4.42468e-05 3.18208e+09
4.5917e-05 2.70285e+09
4.90874e-05 2.20299e+09
5.05981e-05 1.93971e+09
5.2065e-05 1.78466e+09
5.34917e-05 1.55913e+09
5.48814e-05 1.43852e+09
5.62367e-05 1.32543e+09
5.75601e-05 1.24685e+09
6.01195e-05 1.01594e+09
6.13592e-05 9.6148e+08
6.25744e-05 8.81926e+08
6.37664e-05 8.19724e+08
6.60859e-05 7.22285e+08
6.72157e-05 6.72552e+08
6.942e-05 6.21314e+08
7.04964e-05 5.61432e+08
7.15565e-05 5.04575e+08
7.26012e-05 5.0104e+08
7.36311e-05 4.59018e+08
7.46467e-05 4.13959e+08
7.56487e-05 4.1562e+08
7.7614e-05 3.50143e+08
7.85782e-05 3.42848e+08
7.95307e-05 3.13338e+08
8.04719e-05 2.87124e+08
8.14022e-05 2.84061e+08
8.2322e-05 2.61833e+08
8.32317e-05 2.53723e+08
8.50218e-05 2.31863e+08
8.59029e-05 2.17997e+08
8.67751e-05 2.05588e+08
8.76385e-05 1.92049e+08
8.84935e-05 2.02706e+08
8.93404e-05 1.84527e+08
9.01793e-05 1.70258e+08
9.18341e-05 1.59977e+08
9.26504e-05 1.44245e+08
9.34596e-05 1.41747e+08
9.42618e-05 1.32049e+08
9.58462e-05 1.23946e+08
9.66286e-05 1.19113e+08
9.81748e-05 1.13044e+08
9.89388e-05 1.08499e+08
9.9697e-05 1.02501e+08
0.000100947 9.39872e+07
0.000101938 9.47109e+07
0.000102674 9.10485e+07
0.00010413 8.65094e+07
0.000104851 8.28887e+07
0.000105793 7.81891e+07
0.000106983 7.42855e+07
0.000107685 7.41938e+07
0.000108382 7.38807e+07
0.000109763 6.23874e+07
0.000110447 6.65714e+07
0.000111126 6.06272e+07
0.00011207 6.07126e+07
0.000113141 5.59628e+07
0.000113804 5.84277e+07
0.00011512 5.32088e+07
0.000115772 5.33598e+07
0.000116605 5.07319e+07
0.000118768 4.76441e+07
0.000120655 4.64133e+07
0.000121732 4.24238e+07
0.000122718 4.02315e+07
0.000123466 3.99634e+07
0.000125149 3.66986e+07
0.000125749 3.78833e+07
0.000126644 3.63727e+07
0.000127941 3.38833e+07
0.000128708 3.49826e+07
0.000130739 2.97645e+07
0.000131943 2.94165e+07
0.000132953 2.89278e+07
0.000134431 2.7303e+07
0.000135328 2.70309e+07
0.000136101 2.40612e+07
0.000137477 2.36574e+07
0.00013884 2.02082e+07
0.000139516 2.24086e+07
0.000140611 2.10103e+07
0.000141939 1.96401e+07
0.000143463 1.7838e+07
0.000144385 1.91003e+07
0.000145548 1.72108e+07
0.000146631 1.57345e+07
0.000148112 1.60709e+07
0.00014952 1.47109e+07
0.000150299 1.47156e+07
0.000151832 1.29655e+07
0.000152783 1.35668e+07
0.000154045 1.29588e+07
0.000155658 1.15325e+07
0.00015665 1.14274e+07
0.0001579 1.04602e+07
0.000159354 1.03553e+07
0.000160279 1.04324e+07
0.000161626 9.54361e+06
0.000163463 9.40238e+06
0.000164644 8.83987e+06
0.000165783 8.76849e+06
0.000167197 8.16267e+06
0.000168799 7.94939e+06
0.000170423 7.82446e+06
0.000171157 7.22232e+06
0.000172744 6.93694e+06
0.000174349 6.7302e+06
0.00017592 6.26462e+06
0.000177497 6.04734e+06
0.000178723 6.0751e+06
0.000180282 5.74343e+06
0.000181376 5.6447e+06
0.000182743 5.29879e+06
0.000184551 5.16636e+06
0.000185977 5.00644e+06
0.000187589 4.78855e+06
0.000188953 4.37421e+06
0.000190863 4.39087e+06
0.000192158 4.26105e+06
0.000193916 4.11316e+06
0.000195504 3.76119e+06
0.000197181 3.73432e+06
0.000198613 3.4543e+06
0.000200148 3.26279e+06
0.000201721 3.13787e+06
0.000203587 3.06264e+06
0.00020541 2.86885e+06
0.000207172 2.68059e+06
0.000208922 2.67867e+06
0.000210371 2.4957e+06
0.000212078 2.38432e+06
0.000214191 2.2588e+06
0.000215596 2.25817e+06
0.00021743 2.03115e+06
0.000219259 1.93651e+06
0.000221084 1.83641e+06
0.00022283 1.77139e+06
0.000224493 1.75803e+06
0.000226376 1.58387e+06
0.000228421 1.57097e+06
0.000230288 1.54923e+06
0.000231928 1.43825e+06
0.00023399 1.35266e+06
0.000236053 1.28149e+06
0.000237805 1.29816e+06
0.000239779 1.18899e+06
0.000241744 1.19822e+06
0.000243673 1.10899e+06
0.000245757 1.09068e+06
0.000247871 1.04367e+06
0.00024984 1.00597e+06
0.000251597 960086
0.000253565 916000
0.000256 872541
0.000258364 841154
0.000260499 823014
0.000262417 758347
0.000264367 723519
0.000266592 676542
0.000268987 643746
0.000271108 638830
0.000273349 595366
0.000275546 559961
0.000277706 536558
0.000280204 504799
0.000282696 508684
0.000284955 486272
0.000287036 441539
0.000289296 425661
0.000291909 418193
0.000294404 405333
0.000296654 389837
0.000299082 385318
0.000301403 358641
0.000303861 335116
0.000306413 321273
0.000308749 302054
0.000311525 293975
0.000313955 279312
0.000316471 271810
0.000319321 266872
0.000322008 244999
0.000324666 232068
0.00032719 218835
0.000329929 212427
0.000332507 206376
0.000335216 199847
0.000337986 185651
0.000340927 174983
0.000343668 167143
0.000346605 158692
0.000349164 155320
0.000352165 143711
0.000355188 137965
0.000358008 136473
0.000361098 127242
0.000363971 121484
0.00036707 111861
0.000369977 111483
0.000373107 104983
0.000376085 102453
0.000379074 96687.5
0.000382228 91915.9
0.00038541 89065.6
0.000388542 84643.8
0.000391757 80101.4
0.000394981 77348
0.000398111 70908
0.000401474 68498.4
0.000404717 65155.1
0.000407935 63405.1
0.000411525 61193.4
0.000414686 59275.7
0.000418155 56514.4
0.00042175 53228.3
0.000425291 49474.5
0.000428636 47673.6
0.000432208 45448.6
0.0004357 44012.7
0.000439332 41870.6
0.000442787 39675.9
0.000446449 38076
0.000450291 36111.8
0.000453801 35615.4
0.000457447 33264.1
0.000461323 31483.4
0.000465014 29979.1
0.000468866 28909.4
0.000472806 26909.8
0.00047678 26383.1
0.000480624 24927.7
0.000484555 24040.4
0.000488474 22982.7
0.000492396 21582.5
0.000496538 21042.1
0.000500678 19936.6
0.000504761 19023.6
0.000508767 18083.6
0.000512959 17409.5
0.000517253 16602.1
0.000521544 15431.7
0.000525774 15158.7
0.000530168 14228.6
0.000534431 13585.6
0.00053878 12792.9
0.000543223 12296
0.000547788 11964.1
0.000552163 11279.6
0.000556755 10603.6
0.000561463 10044.8
0.000566064 9869.29
0.000570587 9292.23
0.000575277 8620.77
0.000580056 8407
0.000584753 8171.53
0.000589576 7759.62
0.000594327 7437.44
0.000599226 6983.87
0.000604166 6667.74
0.000609275 6224.52
0.000614265 6200.46
0.000619191 5863.76
0.000624415 5557.55
0.000629458 5288.72
0.00063466 5036.93
0.00063975 4788.56
0.00064489 4592.22
0.000650271 4404
0.000655619 4133.78
0.000661178 3949.84
0.000666601 3779.37
0.00067198 3574.26
0.000677465 3459.34
0.000682952 3357.37
0.000688602 3130.77
0.000694365 3005.74
0.000699968 2855.73
0.00070566 2701.71
0.000711633 2638.16
0.000717351 2466.16
0.000723301 2316.89
0.000729237 2256.2
0.00073526 2118.86
0.000741287 2056.72
0.000747431 1948.81
0.000753573 1880.11
0.000759705 1793.04
0.000765936 1691.39
0.000772341 1641.56
0.000778615 1550.54
0.000785031 1467.13
0.000791493 1378.53
0.000797999 1336.66
0.000804499 1264.6
0.000811074 1213.84
0.000817707 1166.45
0.000824546 1101.15
0.000831271 1057.92
0.000838002 1005.86
0.000844949 960.294
0.000851929 917.538
0.000858954 861.387
0.000865919 830.692
0.000873072 790.465
0.000880195 760.099
0.000887393 706.768
0.000894783 687.31
0.000902097 652.844
0.00090951 617.285
0.000916929 598.001
0.000924423 564.663
0.00093206 537.058
0.000939669 514.394
0.000947384 495.201
0.000955222 473.945
0.000963012 445.997
0.00097096 427.755
0.000978975 407.405
0.000986946 386.617
0.000995044 374.153
0.00100317 353.366
0.00101134 334.011
0.00101966 319.255
0.00102811 305.767
0.0010366 292.857
0.00104515 277.989
0.00105367 264.556
0.0010623 251.428
0.00107099 241.658
0.00107984 228.948
0.00108877 219.039
0.00109754 209.39
0.00110658 200.208
0.00111585 189.301
0.001125 179.538
0.00113422 171.435
0.00114355 165.146
0.00115284 156.507
0.0011623 149.548
0.00117183 143.938
0.00118147 136.728
0.00119124 129.873
0.00120099 125.169
0.00121082 117.593
0.00122077 113.489
0.00123083 108.018
0.00124092 102.575
0.00125109 96.8467
0.00126141 93.8828
0.00127177 89.0971
0.00128216 84.9134
0.00129272 80.7127
0.00130337 77.4057
0.00131407 73.9731
0.00132486 70.456
0.00133574 67.3727
0.00134668 63.8975
0.0013577 61.2634
0.0013688 58.2744
0.00138009 55.4307
0.00139144 52.9312
0.00140285 50.3464
0.00141438 48.376
0.0014259 45.7846
0.00143763 43.741
0.00144946 41.5108
0.00146138 39.9636
0.00147343 37.6212
0.00148553 36.386
0.00149773 34.4783
0.00150998 32.859
0.00152238 31.3363
0.00153493 30.0662
0.00154754 28.6526
0.0015602 27.3871
0.00157297 26.0502
0.00158593 24.7995
0.00159901 23.7359
0.00161212 22.6377
0.00162533 21.5224
0.00163867 20.5003
0.00165213 19.7154
0.00166568 18.759
0.00167936 17.8781
0.00169314 17.1076
0.00170706 16.2832
0.00172108 15.4976
0.00173519 14.8572
0.00174947 14.1121
0.00176388 13.4956
0.00177833 12.8546
0.00179289 12.308
0.00180762 11.7407
0.0018225 11.2155
0.00183749 10.6839
0.00185259 10.1963
0.00186776 9.73133
0.00188308 9.24677
0.00189858 8.8483
0.00191415 8.42385
0.00192986 8.07959
0.00194568 7.71355
0.00196164 7.3491
0.00197781 6.99494
0.00199407 6.68975
0.00201041 6.3782
0.0020269 6.11811
0.00204357 5.80962
0.00206031 5.5432
0.00207723 5.30251
0.00209433 5.04245
0.00211151 4.83154
0.00212883 4.62411
0.00214631 4.38681
0.00216395 4.18679
0.00218171 4.00605
0.00219964 3.81574
0.0022177 3.65046
0.00223591 3.49232
0.00225426 3.3221
0.00227273 3.17413
0.00229144 3.03377
0.00231024 2.89783
0.00232919 2.7622
0.00234835 2.64269
0.00236765 2.52361
0.00238708 2.41392
0.00240668 2.29559
0.00242645 2.19856
0.00244635 2.1008
0.00246642 2.00593
0.00248668 1.91391
0.00250712 1.82729
0.0025277 1.74458
0.00254846 1.66465
0.00256938 1.59016
0.00259045 1.52072
0.00261172 1.45346
0.00263319 1.38599
0.00265482 1.32488
0.0026766 1.26105
0.00269857 1.20797
0.00272074 1.15322
0.00274311 1.09916
0.00276562 1.0516
0.00278831 1.00769
0.00281122 0.958212
0.00283428 0.918428
0.00285753 0.876431
0.00288102 0.837266
0.00290469 0.799505
0.00292852 0.762794
0.00295255 0.729796
0.00297682 0.69785
0.00300132 0.665952
0.00302595 0.63716
0.00305077 0.608924
0.00307582 0.581737
0.00310109 0.55591
0.00312652 0.530331
0.00315219 0.505844
0.00317808 0.484751
0.00320418 0.462678
0.00323049 0.44274
0.003257 0.422857
0.00328375 0.404023
0.00331073 0.38623
0.00333793 0.368895
0.00336532 0.35241
0.00339295 0.336718
0.00342081 0.322231
0.0034489 0.308169
0.00347724 0.294412
0.00350579 0.280976
0.00353457 0.26845
0.00356356 0.256899
0.0035928 0.245595
0.0036223 0.234724
0.00365206 0.2243
0.00368208 0.214327
0.00371232 0.204977
0.0037428 0.195851
0.00377353 0.187265
0.00380451 0.17916
0.00383574 0.171174
0.00386724 0.163686
0.00389899 0.156636
0.003931 0.149532
0.0039633 0.142842
0.00399584 0.136908
0.00402865 0.130889
0.00406173 0.124906
0.00409507 0.119571
0.00412871 0.114284
0.00416262 0.109348
0.0041968 0.104586
0.00423127 0.100042
0.004266 0.0955456
0.00430101 0.0913573
0.00433633 0.0873985
0.00437195 0.0836757
0.00440786 0.0799949
0.00444405 0.0764575
0.00448053 0.0732595
0.00451731 0.0699453
0.0045544 0.0669248
0.00459181 0.0640425
0.00462953 0.0612373
0.00466752 0.0585695
0.00470583 0.0560475
0.00474448 0.0535991
0.00478347 0.0513123
0.00482275 0.0490748
0.00486234 0.0469865
0.00490225 0.0449408
0.0049425 0.0429915
0.0049831 0.0411193
0.00502401 0.0393769
0.00506526 0.0376729
0.00510687 0.036079
0.00514879 0.0345299
0.00519107 0.0330408
0.0052337 0.031624
0.00527667 0.0302816
0.00532001 0.0289864
0.00536367 0.0277495
0.00540771 0.0265736
0.00545214 0.0254536
0.0054969 0.0243547
0.00554203 0.0233343
0.00558753 0.0223324
0.00563342 0.0213938
0.00567967 0.0204994
0.00572631 0.0196536
0.00577334 0.0188224
0.00582073 0.0180328
0.00586853 0.0172921
0.00591672 0.0165634
0.0059653 0.0158822
0.00601426 0.0152189
0.00606365 0.014598
0.00611346 0.0139968
0.00616366 0.0134232
0.00621427 0.0128783
0.00626529 0.0123636
0.00631673 0.0118643
0.00636859 0.0113901
0.00642088 0.0109403
0.00647362 0.0105002
0.00652677 0.0100888
0.00658036 0.0096907
0.0066344 0.00931107
0.00668886 0.00895229
0.00674379 0.00860816
0.00679918 0.00827873
0.00685501 0.00796488
0.00691131 0.00766264
0.00696806 0.00737715
0.00702526 0.00709966
0.00708294 0.00684261
0.00714111 0.00659296
0.00719973 0.006347
0.00725885 0.00612299
0.00731846 0.00590445
0.00737856 0.00569589
0.00743915 0.00549957
0.00750022 0.00530688
0.0075618 0.00512485
0.0076239 0.00495059
0.00768649 0.00478309
0.00774961 0.00462341
0.00781325 0.00447094
0.00787742 0.00432574
0.0079421 0.00418298
0.0080073 0.00404943
0.00807306 0.00392373
0.00813935 0.00379886
0.00820618 0.00368061
0.00827356 0.00356387
0.0083415 0.00345608
0.00840998 0.00334861
0.00847904 0.00324866
0.00854867 0.00315135
0.00861886 0.00305736
0.00868963 0.00296669
0.00876099 0.00288146
0.00883292 0.00279724
0.00890544 0.00271399
0.00897858 0.00263704
0.00905231 0.00256299
0.00912663 0.00249138
0.00920156 0.00242014
0.00927713 0.002353
0.0093533 0.00228964
0.0094301 0.00222759
0.00950753 0.00216822
0.0095856 0.00211093
0.00966431 0.00205462
0.00974367 0.00200263
0.00982367 0.0019505
0.00990433 0.00190312
0.00998566 0.0018555
0.0100677 0.00181183
0.0101503 0.00177012
0.0102337 0.00172906
0.0103177 0.00168977
0.0104024 0.00165406
0.0104878 0.00161935
0.010574 0.00158723
0.0106608 0.00155623
0.0107483 0.0015275
0.0108366 0.00149984
0.0109256 0.00147461
0.0110152 0.00144898
0.0111055 0.00135643
0.0111967 0.00124822
0.0112886 0.00116136
0.0113813 0.00109075
0.0114748 0.00103205
0.011569 0.000982325
0.011664 0.000938899
0.0117598 0.000901887
0.0118563 0.000869727
0.0119537 0.000840729
0.0120518 0.000814746
0.0121508 0.000791916
0.0122505 0.00077134
0.0123511 0.000752567
0.0124525 0.000735519
0.0125548 0.000719868
0.0126579 0.000705031
0.0127618 0.000691693
0.0128666 0.000679086
0.0129722 0.000667531
0.0130787 0.000656297
0.0131861 0.000645709
0.0132944 0.000635892
0.0134035 0.000626034
0.0135136 0.000617177
0.0136245 0.000608459
0.0137363 0.000600337
0.0138491 0.00059274
0.0139628 0.00058512
0.0140774 0.000578073
0.014193 0.000571428
0.0143095 0.000564578
0.014427 0.000558141
0.0145454 0.00055177
0.0146648 0.00054583
0.0147852 0.000539489
0.0149065 0.000532813
0.0150288 0.000525517
0.0151522 0.000517067
0.0152765 0.00050673
0.0154018 0.000493428
0.0155281 0.000475426
0.0156556 0.000453821
0.0157843 0.00044051
0.0159139 0.000432785
0.0160445 0.000428305
0.0161763 0.000425419
0.0163091 0.000424185
0.0164429 0.000424083
0.0165779 0.000425353
0.0167139 0.000427129
0.0168511 0.000429928
0.0169894 0.000433559
0.0171288 0.000437836
0.0172693 0.000443756
0.0174109 0.000450648
0.0175537 0.000459326
0.0176976 0.000468401
0.0178426 0.000480165
0.0179887 0.000493205
0.018136 0.000508774
0.0182842 0.000529263
0.0184332 0.000548814
0.0185832 0.000574004
0.0187336 0.000602288
0.0188802 0.000633322
0.0190113 0.000664562
0.0191299 0.000104187