# k P_nu(k)
# a = 0.219492
# nbins = 695
1.22718e-05 1.45554e+11
1.7355e-05 7.80832e+10
2.12555e-05 4.88513e+10
2.45437e-05 3.29537e+10
2.74407e-05 2.3594e+10
3.00598e-05 1.76763e+10
3.471e-05 1.10142e+10
3.68155e-05 8.7422e+09
3.8807e-05 7.05474e+09
4.07011e-05 6.07128e+09
4.25109e-05 5.11607e+09
4.42468e-05 4.48853e+09
4.5917e-05 3.80841e+09
4.90874e-05 3.12374e+09
5.05981e-05 2.74867e+09
5.2065e-05 2.53671e+09
5.34917e-05 2.21026e+09
5.48814e-05 2.04363e+09
5.62367e-05 1.88567e+09
5.75601e-05 1.77929e+09
6.01195e-05 1.44541e+09
6.13592e-05 1.37189e+09
6.25744e-05 1.25743e+09
6.37664e-05 1.1694e+09
6.60859e-05 1.03274e+09
6.72157e-05 9.61714e+08
6.942e-05 8.93862e+08
7.04964e-05 8.0515e+08
7.15565e-05 7.20706e+08
7.26012e-05 7.20003e+08
7.36311e-05 6.58364e+08
7.46467e-05 5.91087e+08
7.56487e-05 5.97479e+08
7.7614e-05 5.01221e+08
7.85782e-05 4.92721e+08
7.95307e-05 4.4907e+08
8.04719e-05 4.10354e+08
8.14022e-05 4.08079e+08
8.2322e-05 3.75033e+08
8.32317e-05 3.6445e+08
8.50218e-05 3.3338e+08
8.59029e-05 3.13698e+08
8.67751e-05 2.95691e+08
8.76385e-05 2.75811e+08
8.84935e-05 2.94157e+08
8.93404e-05 2.66695e+08
9.01793e-05 2.45367e+08
9.18341e-05 2.31394e+08
9.26504e-05 2.074e+08
9.34596e-05 2.04555e+08
9.42618e-05 1.90019e+08
9.58462e-05 1.78736e+08
9.66286e-05 1.71789e+08
9.81748e-05 1.63478e+08
9.89388e-05 1.57026e+08
9.9697e-05 1.48026e+08
0.000100947 1.35321e+08
0.000101938 1.37311e+08
0.000102674 1.31905e+08
0.00010413 1.25634e+08
0.000104851 1.20237e+08
0.000105793 1.13175e+08
0.000106983 1.07487e+08
0.000107685 1.07785e+08
0.000108382 1.07572e+08
0.000109763 8.99843e+07
0.000110447 9.67334e+07
0.000111126 8.75659e+07
0.00011207 8.8068e+07
0.000113141 8.08364e+07
0.000113804 8.49682e+07
0.00011512 7.70477e+07
0.000115772 7.75137e+07
0.000116605 7.36023e+07
0.000118768 6.92082e+07
0.000120655 6.77159e+07
0.000121732 6.15983e+07
0.000122718 5.8396e+07
0.000123466 5.808e+07
0.000125149 5.31691e+07
0.000125749 5.52367e+07
0.000126644 5.29881e+07
0.000127941 4.92762e+07
0.000128708 5.12113e+07
0.000130739 4.3196e+07
0.000131943 4.2842e+07
0.000132953 4.22721e+07
0.000134431 3.98478e+07
0.000135328 3.95299e+07
0.000136101 3.49087e+07
0.000137477 3.44549e+07
0.00013884 2.9126e+07
0.000139516 3.27436e+07
0.000140611 3.06589e+07
0.000141939 2.86203e+07
0.000143463 2.58972e+07
0.000144385 2.79954e+07
0.000145548 2.51236e+07
0.000146631 2.28579e+07
0.000148112 2.35211e+07
0.00014952 2.14752e+07
0.000150299 2.15185e+07
0.000151832 1.88646e+07
0.000152783 1.98959e+07
0.000154045 1.90152e+07
0.000155658 1.68341e+07
0.00015665 1.67232e+07
0.0001579 1.52458e+07
0.000159354 1.51583e+07
0.000160279 1.53258e+07
0.000161626 1.39654e+07
0.000163463 1.38204e+07
0.000164644 1.29682e+07
0.000165783 1.28687e+07
0.000167197 1.1975e+07
0.000168799 1.16667e+07
0.000170423 1.15312e+07
0.000171157 1.05845e+07
0.000172744 1.01648e+07
0.000174349 9.86918e+06
0.00017592 9.18107e+06
0.000177497 8.85929e+06
0.000178723 8.92947e+06
0.000180282 8.43289e+06
0.000181376 8.30477e+06
0.000182743 7.76849e+06
0.000184551 7.59486e+06
0.000185977 7.36363e+06
0.000187589 7.04081e+06
0.000188953 6.40712e+06
0.000190863 6.4639e+06
0.000192158 6.27559e+06
0.000193916 6.06399e+06
0.000195504 5.52756e+06
0.000197181 5.51142e+06
0.000198613 5.07502e+06
0.000200148 4.78899e+06
0.000201721 4.60989e+06
0.000203587 4.51537e+06
0.00020541 4.22492e+06
0.000207172 3.94415e+06
0.000208922 3.9619e+06
0.000210371 3.68102e+06
0.000212078 3.51765e+06
0.000214191 3.33056e+06
0.000215596 3.34329e+06
0.00021743 2.98893e+06
0.000219259 2.85257e+06
0.000221084 2.70655e+06
0.00022283 2.60868e+06
0.000224493 2.59673e+06
0.000226376 2.33214e+06
0.000228421 2.31871e+06
0.000230288 2.29352e+06
0.000231928 2.11973e+06
0.00023399 1.99655e+06
0.000236053 1.88572e+06
0.000237805 1.92057e+06
0.000239779 1.75266e+06
0.000241744 1.7759e+06
0.000243673 1.6366e+06
0.000245757 1.61436e+06
0.000247871 1.54442e+06
0.00024984 1.48775e+06
0.000251597 1.4217e+06
0.000253565 1.35702e+06
0.000256 1.29381e+06
0.000258364 1.24669e+06
0.000260499 1.22498e+06
0.000262417 1.1257e+06
0.000264367 1.07206e+06
0.000266592 999773
0.000268987 949745
0.000271108 949677
0.000273349 882877
0.000275546 830922
0.000277706 794583
0.000280204 747578
0.000282696 757201
0.000284955 725594
0.000287036 654796
0.000289296 631966
0.000291909 622859
0.000294404 604337
0.000296654 581278
0.000299082 576440
0.000301403 536130
0.000303861 499166
0.000306413 478918
0.000308749 449411
0.000311525 438377
0.000313955 415512
0.000316471 405802
0.000319321 399599
0.000322008 365932
0.000324666 345987
0.00032719 326333
0.000329929 316979
0.000332507 308248
0.000335216 299519
0.000337986 277302
0.000340927 261499
0.000343668 250280
0.000346605 237319
0.000349164 232714
0.000352165 215124
0.000355188 206714
0.000358008 204607
0.000361098 190436
0.000363971 182249
0.00036707 167194
0.000369977 167067
0.000373107 157462
0.000376085 154100
0.000379074 145423
0.000382228 138210
0.00038541 133749
0.000388542 127137
0.000391757 120563
0.000394981 116208
0.000398111 106391
0.000401474 102934
0.000404717 97885.7
0.000407935 95381.5
0.000411525 92432.9
0.000414686 89403.6
0.000418155 85224
0.00042175 80204.6
0.000425291 74599.9
0.000428636 71948.5
0.000432208 68536.2
0.0004357 66440.2
0.000439332 63209.2
0.000442787 59912.9
0.000446449 57535.8
0.000450291 54598.9
0.000453801 53983.3
0.000457447 50366.5
0.000461323 47591
0.000465014 45422.5
0.000468866 43756.1
0.000472806 40758.6
0.00047678 39970.1
0.000480624 37868.9
0.000484555 36425.6
0.000488474 34925.5
0.000492396 32726.4
0.000496538 31977
0.000500678 30269.3
0.000504761 28921.9
0.000508767 27505.3
0.000512959 26536.3
0.000517253 25240.1
0.000521544 23454.6
0.000525774 23080
0.000530168 21679
0.000534431 20681.2
0.00053878 19560.3
0.000543223 18765.7
0.000547788 18286
0.000552163 17236.6
0.000556755 16132.6
0.000561463 15356.1
0.000566064 15076.4
0.000570587 14190
0.000575277 13194.6
0.000580056 12877.4
0.000584753 12520.2
0.000589576 11920
0.000594327 11390
0.000599226 10721.2
0.000604166 10233.2
0.000609275 9528.92
0.000614265 9545.97
0.000619191 8988.73
0.000624415 8553.26
0.000629458 8144.83
0.00063466 7757.09
0.00063975 7372.48
0.00064489 7069.42
0.000650271 6778.76
0.000655619 6372.64
0.000661178 6092.49
0.000666601 5825.22
0.00067198 5519.91
0.000677465 5334.16
0.000682952 5178.25
0.000688602 4839.91
0.000694365 4644.34
0.000699968 4421.39
0.00070566 4182.54
0.000711633 4100.02
0.000717351 3825.13
0.000723301 3587.85
0.000729237 3503.31
0.00073526 3294.28
0.000741287 3200.95
0.000747431 3030.68
0.000753573 2917.17
0.000759705 2787.26
0.000765936 2629.2
0.000772341 2554.88
0.000778615 2419.19
0.000785031 2280.08
0.000791493 2145.85
0.000797999 2082.75
0.000804499 1973.58
0.000811074 1894.46
0.000817707 1822.81
0.000824546 1724.07
0.000831271 1658.43
0.000838002 1576.88
0.000844949 1506.05
0.000851929 1439.53
0.000858954 1349.37
0.000865919 1302.8
0.000873072 1240.44
0.000880195 1193.64
0.000887393 1109.8
0.000894783 1079.12
0.000902097 1028.17
0.00090951 970.457
0.000916929 941.673
0.000924423 891.154
0.00093206 848.808
0.000939669 810.875
0.000947384 781.957
0.000955222 749.52
0.000963012 705.084
0.00097096 678.785
0.000978975 645.92
0.000986946 614.152
0.000995044 594.084
0.00100317 561.594
0.00101134 530.142
0.00101966 507.208
0.00102811 486.33
0.0010366 465.767
0.00104515 443.168
0.00105367 421.324
0.0010623 401.539
0.00107099 386.298
0.00107984 364.881
0.00108877 349.779
0.00109754 335.082
0.00110658 320.315
0.00111585 302.344
0.001125 288.009
0.00113422 274.767
0.00114355 265.759
0.00115284 251.531
0.0011623 240.576
0.00117183 231.935
0.00118147 219.875
0.00119124 209.122
0.00120099 201.529
0.00121082 189.867
0.00122077 183.185
0.00123083 174.738
0.00124092 166.207
0.00125109 157.09
0.00126141 152.293
0.00127177 144.472
0.00128216 137.649
0.00129272 130.881
0.00130337 125.898
0.00131407 120.453
0.00132486 114.436
0.00133574 109.912
0.00134668 104.539
0.0013577 100.194
0.0013688 95.2217
0.00138009 90.6196
0.00139144 86.7297
0.00140285 82.5973
0.00141438 79.2826
0.0014259 75.0782
0.00143763 71.9759
0.00144946 68.1652
0.00146138 65.7692
0.00147343 61.9438
0.00148553 59.9958
0.00149773 56.9288
0.00150998 54.2432
0.00152238 51.7739
0.00153493 49.6933
0.00154754 47.4065
0.0015602 45.3157
0.00157297 43.1736
0.00158593 41.1061
0.00159901 39.3958
0.00161212 37.6922
0.00162533 35.7751
0.00163867 34.111
0.00165213 32.8246
0.00166568 31.2933
0.00167936 29.8181
0.00169314 28.6314
0.00170706 27.2432
0.00172108 25.9499
0.00173519 24.9089
0.00174947 23.7044
0.00176388 22.631
0.00177833 21.6418
0.00179289 20.6868
0.00180762 19.7713
0.0018225 18.925
0.00183749 18.031
0.00185259 17.2412
0.00186776 16.4647
0.00188308 15.6573
0.00189858 15.0034
0.00191415 14.309
0.00192986 13.7025
0.00194568 13.0997
0.00196164 12.5025
0.00197781 11.9234
0.00199407 11.3929
0.00201041 10.8863
0.0020269 10.4449
0.00204357 9.95961
0.00206031 9.49204
0.00207723 9.07781
0.00209433 8.64449
0.00211151 8.29772
0.00212883 7.94279
0.00214631 7.54055
0.00216395 7.20783
0.00218171 6.9037
0.00219964 6.58299
0.0022177 6.30632
0.00223591 6.02677
0.00225426 5.75487
0.00227273 5.50576
0.00229144 5.2577
0.00231024 5.02934
0.00232919 4.79516
0.00234835 4.60213
0.00236765 4.3928
0.00238708 4.20488
0.00240668 4.00847
0.00242645 3.83994
0.00244635 3.67098
0.00246642 3.50881
0.00248668 3.35196
0.00250712 3.20061
0.0025277 3.06267
0.00254846 2.9255
0.00256938 2.79923
0.00259045 2.67582
0.00261172 2.56222
0.00263319 2.44425
0.00265482 2.34306
0.0026766 2.23105
0.00269857 2.13778
0.00272074 2.04236
0.00274311 1.95024
0.00276562 1.86829
0.00278831 1.79092
0.00281122 1.70514
0.00283428 1.63703
0.00285753 1.56408
0.00288102 1.49466
0.00290469 1.4296
0.00292852 1.36466
0.00295255 1.30728
0.00297682 1.25024
0.00300132 1.19535
0.00302595 1.14407
0.00305077 1.09406
0.00307582 1.0469
0.00310109 1.00129
0.00312652 0.956379
0.00315219 0.913283
0.00317808 0.876705
0.00320418 0.837923
0.00323049 0.802414
0.003257 0.76584
0.00328375 0.733852
0.00331073 0.701648
0.00333793 0.670619
0.00336532 0.641133
0.00339295 0.61472
0.00342081 0.58766
0.0034489 0.56321
0.00347724 0.538008
0.00350579 0.514329
0.00353457 0.491929
0.00356356 0.470585
0.0035928 0.451103
0.0036223 0.431272
0.00365206 0.412032
0.00368208 0.394846
0.00371232 0.377702
0.0037428 0.361842
0.00377353 0.345262
0.00380451 0.331026
0.00383574 0.316805
0.00386724 0.303235
0.00389899 0.290244
0.003931 0.277737
0.0039633 0.265449
0.00399584 0.254217
0.00402865 0.243291
0.00406173 0.232728
0.00409507 0.222668
0.00412871 0.21322
0.00416262 0.204302
0.0041968 0.1953
0.00423127 0.186871
0.004266 0.178972
0.00430101 0.171226
0.00433633 0.163798
0.00437195 0.15684
0.00440786 0.150219
0.00444405 0.143631
0.00448053 0.137727
0.00451731 0.131778
0.0045544 0.126249
0.00459181 0.120703
0.00462953 0.115549
0.00466752 0.110582
0.00470583 0.105892
0.00474448 0.101394
0.00478347 0.0971074
0.00482275 0.0928869
0.00486234 0.088962
0.00490225 0.0852013
0.0049425 0.0816415
0.0049831 0.0780361
0.00502401 0.0748338
0.00506526 0.0715381
0.00510687 0.0685864
0.00514879 0.0657212
0.00519107 0.0629106
0.0052337 0.0602418
0.00527667 0.0576896
0.00532001 0.0552755
0.00536367 0.0529074
0.00540771 0.0506985
0.00545214 0.0485585
0.0054969 0.0465267
0.00554203 0.0445875
0.00558753 0.0426911
0.00563342 0.0409058
0.00567967 0.039211
0.00572631 0.0375498
0.00577334 0.0359995
0.00582073 0.0345216
0.00586853 0.033081
0.00591672 0.0317169
0.0059653 0.0303934
0.00601426 0.0291354
0.00606365 0.0279174
0.00611346 0.0267859
0.00616366 0.0256885
0.00621427 0.0246258
0.00626529 0.0236356
0.00631673 0.0226763
0.00636859 0.0217546
0.00642088 0.020878
0.00647362 0.0200427
0.00652677 0.0192436
0.00658036 0.0184768
0.0066344 0.0177353
0.00668886 0.0170346
0.00674379 0.0163579
0.00679918 0.0157165
0.00685501 0.0151034
0.00691131 0.0145083
0.00696806 0.0139528
0.00702526 0.0134061
0.00708294 0.0128898
0.00714111 0.0123992
0.00719973 0.0119288
0.00725885 0.0114758
0.00731846 0.0110468
0.00737856 0.0106293
0.00743915 0.0102322
0.00750022 0.00984692
0.0075618 0.00948625
0.0076239 0.00913734
0.00768649 0.00880191
0.00774961 0.00848049
0.00781325 0.00817153
0.00787742 0.00787381
0.0079421 0.00759572
0.0080073 0.00732292
0.00807306 0.00706388
0.00813935 0.00681074
0.00820618 0.00657485
0.00827356 0.00633836
0.0083415 0.00612031
0.00840998 0.00590549
0.00847904 0.00570256
0.00854867 0.0055031
0.00861886 0.00531508
0.00868963 0.00513339
0.00876099 0.00495872
0.00883292 0.00478979
0.00890544 0.00462972
0.00897858 0.00447711
0.00905231 0.00432593
0.00912663 0.00418162
0.00920156 0.00404516
0.00927713 0.00391419
0.0093533 0.00378818
0.0094301 0.00366735
0.00950753 0.00355311
0.0095856 0.00344103
0.00966431 0.00333371
0.00974367 0.00323128
0.00982367 0.00313495
0.00990433 0.00304285
0.00998566 0.00295281
0.0100677 0.00286836
0.0101503 0.00278981
0.0102337 0.00271233
0.0103177 0.00263884
0.0104024 0.00257143
0.0104878 0.00250625
0.010574 0.00244408
0.0106608 0.00238672
0.0107483 0.00233299
0.0108366 0.00228164
0.0109256 0.0022351
0.0110152 0.00218784
0.0111055 0.00207959
0.0111967 0.00195259
0.0112886 0.00184428
0.0113813 0.00175143
0.0114748 0.00166821
0.011569 0.00159511
0.011664 0.00152951
0.0117598 0.0014708
0.0118563 0.00141695
0.0119537 0.00136736
0.0120518 0.00132249
0.0121508 0.00128046
0.0122505 0.00124174
0.0123511 0.00120613
0.0124525 0.0011723
0.0125548 0.00114105
0.0126579 0.00111109
0.0127618 0.001083
0.0128666 0.00105641
0.0129722 0.00103157
0.0130787 0.00100777
0.0131861 0.000985409
0.0132944 0.000963746
0.0134035 0.00094361
0.0135136 0.000924221
0.0136245 0.000905759
0.0137363 0.000888709
0.0138491 0.000872118
0.0139628 0.000856665
0.0140774 0.000842279
0.014193 0.000828434
0.0143095 0.000815457
0.014427 0.000802999
0.0145454 0.000791448
0.0146648 0.00078023
0.0147852 0.000769344
0.0149065 0.000758393
0.0150288 0.000747227
0.0151522 0.000734702
0.0152765 0.000720473
0.0154018 0.000702967
0.0155281 0.000680099
0.0156556 0.000652076
0.0157843 0.000632761
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