# k P_nu(k)
# a = 0.141173
# nbins = 695
1.22718e-05 4.0059e+10
1.7355e-05 2.01781e+10
2.12555e-05 1.21707e+10
2.45437e-05 8.02455e+09
2.74407e-05 5.64197e+09
3.00598e-05 4.16036e+09
3.471e-05 2.51732e+09
3.68155e-05 1.9931e+09
3.8807e-05 1.60732e+09
4.07011e-05 1.36216e+09
4.25109e-05 1.14463e+09
4.42468e-05 9.92883e+08
4.5917e-05 8.45451e+08
4.90874e-05 6.76448e+08
5.05981e-05 5.96345e+08
5.2065e-05 5.4384e+08
5.34917e-05 4.78413e+08
5.48814e-05 4.38661e+08
5.62367e-05 4.02435e+08
5.75601e-05 3.75295e+08
6.01195e-05 3.08127e+08
6.13592e-05 2.89265e+08
6.25744e-05 2.65771e+08
6.37664e-05 2.46619e+08
6.60859e-05 2.15821e+08
6.72157e-05 2.00873e+08
6.942e-05 1.82394e+08
7.04964e-05 1.66245e+08
7.15565e-05 1.51026e+08
7.26012e-05 1.47475e+08
7.36311e-05 1.35835e+08
7.46467e-05 1.23915e+08
7.56487e-05 1.22116e+08
7.7614e-05 1.04075e+08
7.85782e-05 1.00787e+08
7.95307e-05 9.28119e+07
8.04719e-05 8.5696e+07
8.14022e-05 8.35968e+07
8.2322e-05 7.76286e+07
8.32317e-05 7.4646e+07
8.50218e-05 6.79366e+07
8.59029e-05 6.38149e+07
8.67751e-05 6.02552e+07
8.76385e-05 5.65106e+07
8.84935e-05 5.79498e+07
8.93404e-05 5.33491e+07
9.01793e-05 4.96157e+07
9.18341e-05 4.61488e+07
9.26504e-05 4.22811e+07
9.34596e-05 4.11617e+07
9.42618e-05 3.86262e+07
9.58462e-05 3.60273e+07
9.66286e-05 3.46013e+07
9.81748e-05 3.25722e+07
9.89388e-05 3.12267e+07
9.9697e-05 2.96639e+07
0.000100947 2.74042e+07
0.000101938 2.71244e+07
0.000102674 2.61188e+07
0.00010413 2.46587e+07
0.000104851 2.36983e+07
0.000105793 2.24732e+07
0.000106983 2.13575e+07
0.000107685 2.11162e+07
0.000108382 2.0889e+07
0.000109763 1.8127e+07
0.000110447 1.89194e+07
0.000111126 1.75257e+07
0.00011207 1.73483e+07
0.000113141 1.61709e+07
0.000113804 1.65663e+07
0.00011512 1.52622e+07
0.000115772 1.5177e+07
0.000116605 1.44869e+07
0.000118768 1.35475e+07
0.000120655 1.30351e+07
0.000121732 1.20748e+07
0.000122718 1.14748e+07
0.000123466 1.13465e+07
0.000125149 1.04982e+07
0.000125749 1.0656e+07
0.000126644 1.02536e+07
0.000127941 9.60025e+06
0.000128708 9.73463e+06
0.000130739 8.4795e+06
0.000131943 8.29863e+06
0.000132953 8.09247e+06
0.000134431 7.65518e+06
0.000135328 7.53148e+06
0.000136101 6.85498e+06
0.000137477 6.66895e+06
0.00013884 5.86126e+06
0.000139516 6.26188e+06
0.000140611 5.89594e+06
0.000141939 5.53178e+06
0.000143463 5.07407e+06
0.000144385 5.28572e+06
0.000145548 4.8233e+06
0.000146631 4.46892e+06
0.000148112 4.46724e+06
0.00014952 4.12092e+06
0.000150299 4.09701e+06
0.000151832 3.66589e+06
0.000152783 3.75113e+06
0.000154045 3.57822e+06
0.000155658 3.23172e+06
0.00015665 3.17948e+06
0.0001579 2.94393e+06
0.000159354 2.88022e+06
0.000160279 2.87197e+06
0.000161626 2.65685e+06
0.000163463 2.58437e+06
0.000164644 2.44428e+06
0.000165783 2.41583e+06
0.000167197 2.25659e+06
0.000168799 2.19141e+06
0.000170423 2.13409e+06
0.000171157 2.00105e+06
0.000172744 1.92131e+06
0.000174349 1.8591e+06
0.00017592 1.73665e+06
0.000177497 1.67625e+06
0.000178723 1.66773e+06
0.000180282 1.58205e+06
0.000181376 1.54683e+06
0.000182743 1.4651e+06
0.000184551 1.41823e+06
0.000185977 1.37192e+06
0.000187589 1.31287e+06
0.000188953 1.21424e+06
0.000190863 1.20066e+06
0.000192158 1.16351e+06
0.000193916 1.11942e+06
0.000195504 1.03392e+06
0.000197181 1.01443e+06
0.000198613 949456
0.000200148 899649
0.000201721 862940
0.000203587 834238
0.00020541 783678
0.000207172 734814
0.000208922 723806
0.000210371 679855
0.000212078 648634
0.000214191 614624
0.000215596 607556
0.00021743 555722
0.000219259 528813
0.000221084 501069
0.00022283 483434
0.000224493 475576
0.000226376 433490
0.000228421 426320
0.000230288 416815
0.000231928 391549
0.00023399 367690
0.000236053 350638
0.000237805 349923
0.000239779 323995
0.000241744 321734
0.000243673 301057
0.000245757 293744
0.000247871 281136
0.00024984 271172
0.000251597 258395
0.000253565 246396
0.000256 234294
0.000258364 225632
0.000260499 218463
0.000262417 203164
0.000264367 194534
0.000266592 182976
0.000268987 174585
0.000271108 170125
0.000273349 159629
0.000275546 150173
0.000277706 144324
0.000280204 135840
0.000282696 134794
0.000284955 128237
0.000287036 118471
0.000289296 113881
0.000291909 110844
0.000294404 106948
0.000296654 102916
0.000299082 100701
0.000301403 94177.8
0.000303861 88778.6
0.000306413 84936.8
0.000308749 80310.9
0.000311525 77624.7
0.000313955 74162.4
0.000316471 71520.3
0.000319321 69603.6
0.000322008 64423.7
0.000324666 61281
0.00032719 57878.7
0.000329929 56020.9
0.000332507 54181.8
0.000335216 52068.3
0.000337986 48778.9
0.000340927 45952.9
0.000343668 43737.2
0.000346605 41630.3
0.000349164 40496.4
0.000352165 37634.7
0.000355188 36056.5
0.000358008 35473.8
0.000361098 33235.9
0.000363971 31633
0.00036707 29441.9
0.000369977 29048.2
0.000373107 27358.4
0.000376085 26506.1
0.000379074 25044.7
0.000382228 23823.4
0.00038541 23086.5
0.000388542 21941.7
0.000391757 20694
0.000394981 20020.9
0.000398111 18476.9
0.000401474 17763.4
0.000404717 16921.4
0.000407935 16375.6
0.000411525 15649.5
0.000414686 15182
0.000418155 14470.3
0.00042175 13675.1
0.000425291 12726.2
0.000428636 12226.9
0.000432208 11671.1
0.0004357 11276.4
0.000439332 10721.8
0.000442787 10162.1
0.000446449 9736.79
0.000450291 9221.53
0.000453801 9024.26
0.000457447 8454.12
0.000461323 8039.54
0.000465014 7623.94
0.000468866 7345.54
0.000472806 6858.25
0.00047678 6684.58
0.000480624 6290.79
0.000484555 6091.97
0.000488474 5795.02
0.000492396 5467.15
0.000496538 5293.78
0.000500678 5027.88
0.000504761 4786.27
0.000508767 4546.56
0.000512959 4354.49
0.000517253 4166.7
0.000521544 3886.44
0.000525774 3792.97
0.000530168 3565.34
0.000534431 3402.69
0.00053878 3186.56
0.000543223 3067.89
0.000547788 2967.24
0.000552163 2803.54
0.000556755 2658.94
0.000561463 2500.49
0.000566064 2447.33
0.000570587 2310.67
0.000575277 2141.13
0.000580056 2079.03
0.000584753 2018.78
0.000589576 1904.43
0.000594327 1833.59
0.000599226 1719.7
0.000604166 1640.68
0.000609275 1543.75
0.000614265 1509.1
0.000619191 1441.81
0.000624415 1356.56
0.000629458 1290.04
0.00063466 1227.81
0.00063975 1170.73
0.00064489 1120.29
0.000650271 1074.39
0.000655619 1007.23
0.000661178 959.692
0.000666601 917.903
0.00067198 865.658
0.000677465 840.483
0.000682952 811.663
0.000688602 755.679
0.000694365 726.74
0.000699968 688.625
0.00070566 650.367
0.000711633 628.011
0.000717351 591.831
0.000723301 559.165
0.000729237 539.864
0.00073526 506.254
0.000741287 489.254
0.000747431 463.959
0.000753573 449.164
0.000759705 426.345
0.000765936 402.556
0.000772341 388.11
0.000778615 366.299
0.000785031 349.512
0.000791493 327.524
0.000797999 316.137
0.000804499 298.044
0.000811074 286.463
0.000817707 273.53
0.000824546 258.044
0.000831271 246.984
0.000838002 234.037
0.000844949 223.788
0.000851929 213.684
0.000858954 201.447
0.000865919 193.625
0.000873072 183.858
0.000880195 176.264
0.000887393 164.34
0.000894783 159.427
0.000902097 150.474
0.00090951 143.048
0.000916929 137.424
0.000924423 129.782
0.00093206 122.829
0.000939669 118.1
0.000947384 113.082
0.000955222 107.763
0.000963012 102.018
0.00097096 97.013
0.000978975 92.5232
0.000986946 87.0923
0.000995044 84.3283
0.00100317 79.6201
0.00101134 75.6839
0.00101966 72.2848
0.00102811 68.861
0.0010366 65.5442
0.00104515 62.2146
0.00105367 59.3488
0.0010623 55.848
0.00107099 53.7738
0.00107984 51.0815
0.00108877 48.7861
0.00109754 46.3499
0.00110658 44.264
0.00111585 41.9966
0.001125 39.6112
0.00113422 37.7744
0.00114355 36.1112
0.00115284 34.2432
0.0011623 32.6902
0.00117183 31.1586
0.00118147 29.7739
0.00119124 28.2483
0.00120099 27.2122
0.00121082 25.4945
0.00122077 24.5602
0.00123083 23.2666
0.00124092 21.9953
0.00125109 20.7736
0.00126141 20.0726
0.00127177 19.106
0.00128216 18.1994
0.00129272 17.2471
0.00130337 16.3985
0.00131407 15.6494
0.00132486 14.9897
0.00133574 14.1214
0.00134668 13.3749
0.0013577 12.8036
0.0013688 12.2528
0.00138009 11.637
0.00139144 11.0187
0.00140285 10.498
0.00141438 10.0564
0.0014259 9.52715
0.00143763 9.04049
0.00144946 8.62252
0.00146138 8.22496
0.00147343 7.76708
0.00148553 7.44243
0.00149773 7.06244
0.00150998 6.73995
0.00152238 6.42407
0.00153493 6.08906
0.00154754 5.83442
0.0015602 5.54416
0.00157297 5.28617
0.00158593 5.01554
0.00159901 4.77226
0.00161212 4.51235
0.00162533 4.3249
0.00163867 4.09932
0.00165213 3.91716
0.00166568 3.72699
0.00167936 3.53748
0.00169314 3.3631
0.00170706 3.20276
0.00172108 3.05326
0.00173519 2.90155
0.00174947 2.7593
0.00176388 2.63419
0.00177833 2.49377
0.00179289 2.39368
0.00180762 2.26621
0.0018225 2.1613
0.00183749 2.05268
0.00185259 1.95201
0.00186776 1.8523
0.00188308 1.76965
0.00189858 1.684
0.00191415 1.59379
0.00192986 1.52857
0.00194568 1.45636
0.00196164 1.38307
0.00197781 1.31071
0.00199407 1.25709
0.00201041 1.1961
0.0020269 1.13397
0.00204357 1.0764
0.00206031 1.02556
0.00207723 0.977441
0.00209433 0.93015
0.00211151 0.884664
0.00212883 0.845746
0.00214631 0.80204
0.00216395 0.763173
0.00218171 0.725424
0.00219964 0.690549
0.0022177 0.657846
0.00223591 0.628282
0.00225426 0.596201
0.00227273 0.567558
0.00229144 0.540965
0.00231024 0.514141
0.00232919 0.490388
0.00234835 0.466591
0.00236765 0.444731
0.00238708 0.422844
0.00240668 0.403064
0.00242645 0.383365
0.00244635 0.365455
0.00246642 0.346901
0.00248668 0.330419
0.00250712 0.31461
0.0025277 0.2984
0.00254846 0.284775
0.00256938 0.271293
0.00259045 0.258622
0.00261172 0.245737
0.00263319 0.234543
0.00265482 0.222912
0.0026766 0.211865
0.00269857 0.201606
0.00272074 0.192048
0.00274311 0.182697
0.00276562 0.174226
0.00278831 0.166095
0.00281122 0.157702
0.00283428 0.150532
0.00285753 0.143261
0.00288102 0.136154
0.00290469 0.129768
0.00292852 0.123596
0.00295255 0.117487
0.00297682 0.111973
0.00300132 0.106426
0.00302595 0.101605
0.00305077 0.0966071
0.00307582 0.0919719
0.00310109 0.0876482
0.00312652 0.083307
0.00315219 0.0793876
0.00317808 0.0755357
0.00320418 0.0719749
0.00323049 0.0685925
0.003257 0.0651999
0.00328375 0.0620867
0.00331073 0.0591176
0.00333793 0.056295
0.00336532 0.0536089
0.00339295 0.0510932
0.00342081 0.048567
0.0034489 0.0462548
0.00347724 0.0441127
0.00350579 0.0419564
0.00353457 0.0399168
0.00356356 0.0380814
0.0035928 0.0361426
0.0036223 0.0345063
0.00365206 0.0328281
0.00368208 0.0312485
0.00371232 0.0297011
0.0037428 0.0282916
0.00377353 0.0270484
0.00380451 0.025692
0.00383574 0.0245268
0.00386724 0.0233222
0.00389899 0.0222087
0.003931 0.0211385
0.0039633 0.0201323
0.00399584 0.019198
0.00402865 0.018272
0.00406173 0.0173996
0.00409507 0.0165706
0.00412871 0.0158075
0.00416262 0.0150485
0.0041968 0.0143151
0.00423127 0.0136539
0.004266 0.0130041
0.00430101 0.0123749
0.00433633 0.0117992
0.00437195 0.0112451
0.00440786 0.0107004
0.00444405 0.010215
0.00448053 0.00973085
0.00451731 0.00926655
0.0045544 0.00882914
0.00459181 0.00842003
0.00462953 0.00801722
0.00466752 0.00764207
0.00470583 0.00728076
0.00474448 0.00693745
0.00478347 0.00662163
0.00482275 0.00630648
0.00486234 0.00601211
0.00490225 0.00573042
0.0049425 0.00547205
0.0049831 0.0052188
0.00502401 0.00496654
0.00506526 0.0047447
0.00510687 0.00452314
0.00514879 0.00431771
0.00519107 0.00412067
0.0052337 0.00392746
0.00527667 0.00374715
0.00532001 0.00358016
0.00536367 0.0034186
0.00540771 0.00326301
0.00545214 0.00311264
0.0054969 0.00297787
0.00554203 0.0028432
0.00558753 0.00271697
0.00563342 0.00259557
0.00567967 0.00248177
0.00572631 0.00237251
0.00577334 0.0022696
0.00582073 0.0021717
0.00586853 0.00207799
0.00591672 0.00198998
0.0059653 0.0019047
0.00601426 0.00182507
0.00606365 0.0017479
0.00611346 0.00167606
0.00616366 0.00160715
0.00621427 0.0015423
0.00626529 0.00148027
0.00631673 0.00142135
0.00636859 0.00136423
0.00642088 0.00131276
0.00647362 0.00126127
0.00652677 0.00121438
0.00658036 0.00116919
0.0066344 0.00112558
0.00668886 0.00108621
0.00674379 0.00104734
0.00679918 0.00101163
0.00685501 0.000977661
0.00691131 0.000945516
0.00696806 0.000914584
0.00702526 0.000886683
0.00708294 0.00085973
0.00714111 0.000834482
0.00719973 0.000810487
0.00725885 0.000787871
0.00731846 0.000767564
0.00737856 0.000747529
0.00743915 0.000729296
0.00750022 0.000713141
0.0075618 0.000697324
0.0076239 0.000682252
0.00768649 0.000668799
0.00774961 0.000656488
0.00781325 0.000645135
0.00787742 0.000634446
0.0079421 0.000625002
0.0080073 0.000616384
0.00807306 0.000609142
0.00813935 0.000601382
0.00820618 0.000595761
0.00827356 0.000589957
0.0083415 0.000585741
0.00840998 0.00058047
0.00847904 0.000576952
0.00854867 0.000574156
0.00861886 0.000571283
0.00868963 0.000568545
0.00876099 0.000567339
0.00883292 0.00056596
0.00890544 0.00056448
0.00897858 0.000563338
0.00905231 0.000562655
0.00912663 0.000561935
0.00920156 0.000562179
0.00927713 0.000561084
0.0093533 0.000561633
0.0094301 0.000561195
0.00950753 0.000560124
0.0095856 0.000560918
0.00966431 0.000559142
0.00974367 0.00055853
0.00982367 0.000558244
0.00990433 0.000557394
0.00998566 0.00055581
0.0100677 0.000555399
0.0101503 0.000552912
0.0102337 0.000550944
0.0103177 0.000548798
0.0104024 0.000546803
0.0104878 0.000544426
0.010574 0.000541079
0.0106608 0.000538285
0.0107483 0.000535095
0.0108366 0.000530985
0.0109256 0.000527177
0.0110152 0.000520368
0.0111055 0.000416946
0.0111967 0.000319468
0.0112886 0.000262744
0.0113813 0.000226676
0.0114748 0.000202962
0.011569 0.000186545
0.011664 0.000175132
0.0117598 0.000167209
0.0118563 0.000161713
0.0119537 0.000158104
0.0120518 0.000156093
0.0121508 0.000155032
0.0122505 0.000155167
0.0123511 0.000155993
0.0124525 0.000157478
0.0125548 0.000159642
0.0126579 0.000162307
0.0127618 0.000165397
0.0128666 0.000168948
0.0129722 0.000172776
0.0130787 0.000176927
0.0131861 0.000181161
0.0132944 0.000185697
0.0134035 0.000190195
0.0135136 0.000194838
0.0136245 0.000199266
0.0137363 0.000203622
0.0138491 0.00020795
0.0139628 0.000211866
0.0140774 0.000215369
0.014193 0.00021862
0.0143095 0.000221242
0.014427 0.000223141
0.0145454 0.000224617
0.0146648 0.000224876
0.0147852 0.000224207
0.0149065 0.000222315
0.0150288 0.000218765
0.0151522 0.00021301
0.0152765 0.000204692
0.0154018 0.000192537
0.0155281 0.000174997
0.0156556 0.000154805
0.0157843 0.000147892
0.0159139 0.000148599
0.0160445 0.000152573
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0.0165779 0.000185935
0.0167139 0.000196705
0.0168511 0.000208431
0.0169894 0.000220588
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0.0172693 0.000247012
0.0174109 0.000260899
0.0175537 0.000275673
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0.018136 0.00034081
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0.0187336 0.00042522
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0.0190113 0.000482749
0.0191299 3.50174e-05