# k P_nu(k)
# a = 0.678818
# nbins = 695
1.22718e-05 2.59965e+12
1.7355e-05 1.62456e+12
2.12555e-05 1.11388e+12
2.45437e-05 7.91891e+11
2.74407e-05 5.93254e+11
3.00598e-05 4.63587e+11
3.471e-05 3.157e+11
3.68155e-05 2.48943e+11
3.8807e-05 1.98595e+11
4.07011e-05 1.80776e+11
4.25109e-05 1.52178e+11
4.42468e-05 1.39296e+11
4.5917e-05 1.15425e+11
4.90874e-05 1.04101e+11
5.05981e-05 8.99433e+10
5.2065e-05 8.7141e+10
5.34917e-05 7.2153e+10
5.48814e-05 6.89794e+10
5.62367e-05 6.49053e+10
5.75601e-05 6.43569e+10
6.01195e-05 4.91649e+10
6.13592e-05 4.91478e+10
6.25744e-05 4.40679e+10
6.37664e-05 4.14577e+10
6.60859e-05 3.77404e+10
6.72157e-05 3.51385e+10
6.942e-05 3.5993e+10
7.04964e-05 3.06659e+10
7.15565e-05 2.54278e+10
7.26012e-05 2.82648e+10
7.36311e-05 2.52099e+10
7.46467e-05 2.04751e+10
7.56487e-05 2.33102e+10
7.7614e-05 1.82093e+10
7.85782e-05 1.91099e+10
7.95307e-05 1.6657e+10
8.04719e-05 1.44916e+10
8.14022e-05 1.58752e+10
8.2322e-05 1.35547e+10
8.32317e-05 1.3937e+10
8.50218e-05 1.24701e+10
8.59029e-05 1.24515e+10
8.67751e-05 1.15735e+10
8.76385e-05 1.05121e+10
8.84935e-05 1.33131e+10
8.93404e-05 1.13011e+10
9.01793e-05 9.96316e+09
9.18341e-05 9.97227e+09
9.26504e-05 8.03422e+09
9.34596e-05 8.62298e+09
9.42618e-05 7.50535e+09
9.58462e-05 7.25268e+09
9.66286e-05 6.90927e+09
9.81748e-05 6.73726e+09
9.89388e-05 6.79997e+09
9.9697e-05 6.13306e+09
0.000100947 5.182e+09
0.000101938 6.13542e+09
0.000102674 5.77854e+09
0.00010413 5.76675e+09
0.000104851 5.42546e+09
0.000105793 4.83498e+09
0.000106983 4.4635e+09
0.000107685 4.94257e+09
0.000108382 5.06391e+09
0.000109763 3.75296e+09
0.000110447 4.36128e+09
0.000111126 3.62139e+09
0.00011207 3.95222e+09
0.000113141 3.35421e+09
0.000113804 3.87384e+09
0.00011512 3.25781e+09
0.000115772 3.50499e+09
0.000116605 3.30371e+09
0.000118768 3.11095e+09
0.000120655 3.23369e+09
0.000121732 2.75063e+09
0.000122718 2.71898e+09
0.000123466 2.65816e+09
0.000125149 2.23285e+09
0.000125749 2.61462e+09
0.000126644 2.48064e+09
0.000127941 2.27143e+09
0.000128708 2.5975e+09
0.000130739 1.90006e+09
0.000131943 1.99461e+09
0.000132953 2.12392e+09
0.000134431 1.93132e+09
0.000135328 1.91374e+09
0.000136101 1.5118e+09
0.000137477 1.58579e+09
0.00013884 1.14294e+09
0.000139516 1.61132e+09
0.000140611 1.49456e+09
0.000141939 1.38303e+09
0.000143463 1.16048e+09
0.000144385 1.40304e+09
0.000145548 1.21625e+09
0.000146631 1.05492e+09
0.000148112 1.16625e+09
0.00014952 1.04616e+09
0.000150299 1.02533e+09
0.000151832 8.79472e+08
0.000152783 1.01116e+09
0.000154045 9.91863e+08
0.000155658 8.15114e+08
0.00015665 8.47496e+08
0.0001579 7.33181e+08
0.000159354 7.82435e+08
0.000160279 8.34949e+08
0.000161626 7.23274e+08
0.000163463 7.47083e+08
0.000164644 7.0312e+08
0.000165783 6.5524e+08
0.000167197 6.48609e+08
0.000168799 6.10892e+08
0.000170423 6.51688e+08
0.000171157 5.55475e+08
0.000172744 5.23004e+08
0.000174349 5.06989e+08
0.00017592 4.82713e+08
0.000177497 4.55791e+08
0.000178723 4.77335e+08
0.000180282 4.57059e+08
0.000181376 4.55195e+08
0.000182743 4.01972e+08
0.000184551 4.12003e+08
0.000185977 3.9877e+08
0.000187589 3.73407e+08
0.000188953 3.4501e+08
0.000190863 3.58408e+08
0.000192158 3.45501e+08
0.000193916 3.38925e+08
0.000195504 3.05705e+08
0.000197181 3.19918e+08
0.000198613 2.7353e+08
0.000200148 2.65884e+08
0.000201721 2.51749e+08
0.000203587 2.62718e+08
0.00020541 2.36341e+08
0.000207172 2.27251e+08
0.000208922 2.47714e+08
0.000210371 2.24673e+08
0.000212078 2.06546e+08
0.000214191 1.87015e+08
0.000215596 2.00281e+08
0.00021743 1.67175e+08
0.000219259 1.68898e+08
0.000221084 1.59712e+08
0.00022283 1.46168e+08
0.000224493 1.50349e+08
0.000226376 1.40233e+08
0.000228421 1.3559e+08
0.000230288 1.38775e+08
0.000231928 1.21223e+08
0.00023399 1.19792e+08
0.000236053 1.06942e+08
0.000237805 1.16111e+08
0.000239779 1.02821e+08
0.000241744 1.09839e+08
0.000243673 9.51605e+07
0.000245757 9.79403e+07
0.000247871 9.38714e+07
0.00024984 9.01245e+07
0.000251597 8.78716e+07
0.000253565 8.51254e+07
0.000256 8.60276e+07
0.000258364 7.75246e+07
0.000260499 8.17466e+07
0.000262417 7.70319e+07
0.000264367 6.95901e+07
0.000266592 6.13574e+07
0.000268987 5.74747e+07
0.000271108 6.25007e+07
0.000273349 5.72551e+07
0.000275546 5.68733e+07
0.000277706 5.09154e+07
0.000280204 4.87032e+07
0.000282696 5.16286e+07
0.000284955 5.12661e+07
0.000287036 4.48028e+07
0.000289296 4.35111e+07
0.000291909 4.2452e+07
0.000294404 4.02828e+07
0.000296654 4.0595e+07
0.000299082 4.06069e+07
0.000301403 3.92311e+07
0.000303861 3.50165e+07
0.000306413 3.2741e+07
0.000308749 3.1822e+07
0.000311525 3.16384e+07
0.000313955 2.86533e+07
0.000316471 2.88357e+07
0.000319321 2.88867e+07
0.000322008 2.57012e+07
0.000324666 2.44817e+07
0.00032719 2.39414e+07
0.000329929 2.34069e+07
0.000332507 2.18069e+07
0.000335216 2.23807e+07
0.000337986 2.01753e+07
0.000340927 1.9572e+07
0.000343668 1.89987e+07
0.000346605 1.839e+07
0.000349164 1.76279e+07
0.000352165 1.66791e+07
0.000355188 1.63137e+07
0.000358008 1.54685e+07
0.000361098 1.42254e+07
0.000363971 1.44806e+07
0.00036707 1.35177e+07
0.000369977 1.28812e+07
0.000373107 1.25118e+07
0.000376085 1.32056e+07
0.000379074 1.18347e+07
0.000382228 1.15985e+07
0.00038541 1.09168e+07
0.000388542 1.06051e+07
0.000391757 9.86669e+06
0.000394981 9.48971e+06
0.000398111 9.21001e+06
0.000401474 8.81976e+06
0.000404717 8.67157e+06
0.000407935 8.28714e+06
0.000411525 7.90253e+06
0.000414686 7.38878e+06
0.000418155 7.27582e+06
0.00042175 6.80173e+06
0.000425291 6.59855e+06
0.000428636 6.34644e+06
0.000432208 5.88122e+06
0.0004357 5.95475e+06
0.000439332 5.68867e+06
0.000442787 5.46362e+06
0.000446449 5.41179e+06
0.000450291 4.95916e+06
0.000453801 5.01844e+06
0.000457447 4.68963e+06
0.000461323 4.49199e+06
0.000465014 4.31698e+06
0.000468866 4.119e+06
0.000472806 4.06217e+06
0.00047678 3.83806e+06
0.000480624 3.70221e+06
0.000484555 3.59253e+06
0.000488474 3.52683e+06
0.000492396 3.2401e+06
0.000496538 3.14196e+06
0.000500678 3.05048e+06
0.000504761 2.9432e+06
0.000508767 2.71853e+06
0.000512959 2.68638e+06
0.000517253 2.52782e+06
0.000521544 2.4556e+06
0.000525774 2.37967e+06
0.000530168 2.28659e+06
0.000534431 2.23414e+06
0.00053878 2.14121e+06
0.000543223 2.05087e+06
0.000547788 1.98277e+06
0.000552163 1.87747e+06
0.000556755 1.77183e+06
0.000561463 1.77314e+06
0.000566064 1.63414e+06
0.000570587 1.5905e+06
0.000575277 1.52005e+06
0.000580056 1.49714e+06
0.000584753 1.41595e+06
0.000589576 1.36825e+06
0.000594327 1.34888e+06
0.000599226 1.30366e+06
0.000604166 1.21012e+06
0.000609275 1.169e+06
0.000614265 1.10769e+06
0.000619191 1.09048e+06
0.000624415 1.04712e+06
0.000629458 988664
0.00063466 988968
0.00063975 921670
0.00064489 874861
0.000650271 871643
0.000655619 833758
0.000661178 778269
0.000666601 752173
0.00067198 735644
0.000677465 702451
0.000682952 664109
0.000688602 647910
0.000694365 615515
0.000699968 596495
0.00070566 578789
0.000711633 557330
0.000717351 538627
0.000723301 516467
0.000729237 480043
0.00073526 464932
0.000741287 452720
0.000747431 435627
0.000753573 424876
0.000759705 407884
0.000765936 389339
0.000772341 374199
0.000778615 361774
0.000785031 346046
0.000791493 336375
0.000797999 317225
0.000804499 310205
0.000811074 298773
0.000817707 286192
0.000824546 273869
0.000831271 264779
0.000838002 252442
0.000844949 240279
0.000851929 236215
0.000858954 225314
0.000865919 217762
0.000873072 209660
0.000880195 203691
0.000887393 192105
0.000894783 184123
0.000902097 178123
0.00090951 168385
0.000916929 165392
0.000924423 158993
0.00093206 153154
0.000939669 147267
0.000947384 140701
0.000955222 134940
0.000963012 131692
0.00097096 126511
0.000978975 121419
0.000986946 116097
0.000995044 111859
0.00100317 107718
0.00101134 102652
0.00101966 99129.7
0.00102811 95317.9
0.0010366 91405.4
0.00104515 88321.9
0.00105367 84406.5
0.0010623 81403.6
0.00107099 78274.6
0.00107984 75470.1
0.00108877 72204.9
0.00109754 69420.8
0.00110658 66930.7
0.00111585 64006.1
0.001125 62305.3
0.00113422 59095.6
0.00114355 57533.6
0.00115284 55008.7
0.0011623 53059.6
0.00117183 50773
0.00118147 48711.4
0.00119124 47160.6
0.00120099 44924.7
0.00121082 43092.5
0.00122077 41824.6
0.00123083 40070.1
0.00124092 38570.6
0.00125109 36940
0.00126141 35507.1
0.00127177 34189.5
0.00128216 32889.5
0.00129272 31366
0.00130337 30561.5
0.00131407 29214.4
0.00132486 27789.5
0.00133574 27051.2
0.00134668 25703.5
0.0013577 24752.4
0.0013688 23896.6
0.00138009 23056.3
0.00139144 22027.8
0.00140285 21149.3
0.00141438 20219.4
0.0014259 19496.4
0.00143763 18774.6
0.00144946 18101.4
0.00146138 17333.7
0.00147343 16545.8
0.00148553 15882.7
0.00149773 15311.8
0.00150998 14668.8
0.00152238 14100.5
0.00153493 13517.5
0.00154754 13002.4
0.0015602 12462.8
0.00157297 11981.7
0.00158593 11457.4
0.00159901 11050.3
0.00161212 10597.8
0.00162533 10227.2
0.00163867 9774.75
0.00165213 9372.84
0.00166568 9004.27
0.00167936 8639.65
0.00169314 8262.6
0.00170706 7919.13
0.00172108 7607.96
0.00173519 7298.43
0.00174947 7021.34
0.00176388 6741.49
0.00177833 6462.94
0.00179289 6197.44
0.00180762 5965.81
0.0018225 5702.08
0.00183749 5443.66
0.00185259 5236.93
0.00186776 5023.06
0.00188308 4840.42
0.00189858 4627.59
0.00191415 4443.95
0.00192986 4247.09
0.00194568 4083.16
0.00196164 3911.14
0.00197781 3738.76
0.00199407 3587.81
0.00201041 3441.71
0.0020269 3295.36
0.00204357 3169.59
0.00206031 3032.1
0.00207723 2906.03
0.00209433 2789.27
0.00211151 2660.43
0.00212883 2542.85
0.00214631 2443.86
0.00216395 2341.28
0.00218171 2241.87
0.00219964 2146.31
0.0022177 2054.55
0.00223591 1972.09
0.00225426 1884.76
0.00227273 1807.87
0.00229144 1732.26
0.00231024 1656.49
0.00232919 1588.57
0.00234835 1519.04
0.00236765 1457.8
0.00238708 1393.38
0.00240668 1330.17
0.00242645 1277.42
0.00244635 1224.16
0.00246642 1168.71
0.00248668 1124.68
0.00250712 1073.05
0.0025277 1026.65
0.00254846 980.413
0.00256938 939.532
0.00259045 899.102
0.00261172 859.691
0.00263319 822.348
0.00265482 785.372
0.0026766 753.067
0.00269857 719.41
0.00272074 687.482
0.00274311 657.042
0.00276562 628.644
0.00278831 601.654
0.00281122 575.459
0.00283428 549.915
0.00285753 524.238
0.00288102 502.308
0.00290469 480.959
0.00292852 459.319
0.00295255 438.317
0.00297682 419.742
0.00300132 401.497
0.00302595 383.373
0.00305077 365.252
0.00307582 348.683
0.00310109 334.355
0.00312652 319.494
0.00315219 304.558
0.00317808 291.264
0.00320418 277.822
0.00323049 265.921
0.003257 253.913
0.00328375 242.753
0.00331073 231.773
0.00333793 221.659
0.00336532 211.46
0.00339295 201.897
0.00342081 192.949
0.0034489 184.276
0.00347724 176.139
0.00350579 168.522
0.00353457 160.337
0.00356356 153.289
0.0035928 146.484
0.0036223 139.695
0.00365206 133.403
0.00368208 127.284
0.00371232 121.561
0.0037428 116.032
0.00377353 110.788
0.00380451 105.719
0.00383574 100.956
0.00386724 96.3038
0.00389899 91.926
0.003931 87.681
0.0039633 83.8003
0.00399584 79.9558
0.00402865 76.2278
0.00406173 72.7386
0.00409507 69.5077
0.00412871 66.2881
0.00416262 63.1548
0.0041968 60.3103
0.00423127 57.5329
0.004266 54.8842
0.00430101 52.4386
0.00433633 49.9217
0.00437195 47.6603
0.00440786 45.4468
0.00444405 43.3305
0.00448053 41.4163
0.00451731 39.4788
0.0045544 37.6488
0.00459181 35.9414
0.00462953 34.2648
0.00466752 32.6819
0.00470583 31.1803
0.00474448 29.7363
0.00478347 28.3623
0.00482275 27.0144
0.00486234 25.7909
0.00490225 24.5619
0.0049425 23.4457
0.0049831 22.345
0.00502401 21.3018
0.00506526 20.334
0.00510687 19.3759
0.00514879 18.4799
0.00519107 17.6251
0.0052337 16.7808
0.00527667 16.016
0.00532001 15.2649
0.00536367 14.5544
0.00540771 13.8759
0.00545214 13.2261
0.0054969 12.6044
0.00554203 12.0133
0.00558753 11.4563
0.00563342 10.9259
0.00567967 10.4013
0.00572631 9.91727
0.00577334 9.44684
0.00582073 9.01562
0.00586853 8.58821
0.00591672 8.19275
0.0059653 7.80809
0.00601426 7.44292
0.00606365 7.08771
0.00611346 6.75988
0.00616366 6.43676
0.00621427 6.13936
0.00626529 5.85091
0.00631673 5.57365
0.00636859 5.31044
0.00642088 5.06416
0.00647362 4.8215
0.00652677 4.59575
0.00658036 4.38052
0.0066344 4.17181
0.00668886 3.97356
0.00674379 3.78878
0.00679918 3.60882
0.00685501 3.44053
0.00691131 3.27797
0.00696806 3.12511
0.00702526 2.97827
0.00708294 2.83835
0.00714111 2.70375
0.00719973 2.57751
0.00725885 2.45672
0.00731846 2.34003
0.00737856 2.23025
0.00743915 2.1248
0.00750022 2.02438
0.0075618 1.92917
0.0076239 1.83804
0.00768649 1.75194
0.00774961 1.66997
0.00781325 1.59122
0.00787742 1.5168
0.0079421 1.44649
0.0080073 1.3779
0.00807306 1.31307
0.00813935 1.25285
0.00820618 1.19405
0.00827356 1.13832
0.0083415 1.08552
0.00840998 1.035
0.00847904 0.986932
0.00854867 0.940693
0.00861886 0.897523
0.00868963 0.855355
0.00876099 0.816504
0.00883292 0.779185
0.00890544 0.743817
0.00897858 0.709491
0.00905231 0.67738
0.00912663 0.646712
0.00920156 0.617491
0.00927713 0.589838
0.0093533 0.563498
0.0094301 0.538538
0.00950753 0.51473
0.0095856 0.492093
0.00966431 0.470999
0.00974367 0.450618
0.00982367 0.431434
0.00990433 0.413088
0.00998566 0.39582
0.0100677 0.379555
0.0101503 0.36399
0.0102337 0.349477
0.0103177 0.335813
0.0104024 0.322774
0.0104878 0.310531
0.010574 0.299059
0.0106608 0.288349
0.0107483 0.278278
0.0108366 0.268846
0.0109256 0.259987
0.0110152 0.251818
0.0111055 0.24183
0.0111967 0.231103
0.0112886 0.221032
0.0113813 0.211347
0.0114748 0.202125
0.011569 0.193343
0.011664 0.185002
0.0117598 0.177087
0.0118563 0.169624
0.0119537 0.162342
0.0120518 0.155487
0.0121508 0.148991
0.0122505 0.142833
0.0123511 0.136936
0.0124525 0.131374
0.0125548 0.12608
0.0126579 0.120999
0.0127618 0.116246
0.0128666 0.111656
0.0129722 0.107405
0.0130787 0.10328
0.0131861 0.0994977
0.0132944 0.0958427
0.0134035 0.0924281
0.0135136 0.0892014
0.0136245 0.0861393
0.0137363 0.0833016
0.0138491 0.0805941
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