# k P_nu(k)
# a = 0.168453
# nbins = 695
1.22718e-05 6.75728e+10
1.7355e-05 3.49055e+10
2.12555e-05 2.13624e+10
2.45437e-05 1.42147e+10
2.74407e-05 1.00667e+10
3.00598e-05 7.46974e+09
3.471e-05 4.57141e+09
3.68155e-05 3.62392e+09
3.8807e-05 2.92405e+09
4.07011e-05 2.49234e+09
4.25109e-05 2.09697e+09
4.42468e-05 1.82671e+09
4.5917e-05 1.55377e+09
4.90874e-05 1.25465e+09
5.05981e-05 1.10554e+09
5.2065e-05 1.01262e+09
5.34917e-05 8.87895e+08
5.48814e-05 8.16637e+08
5.62367e-05 7.50821e+08
5.75601e-05 7.03188e+08
6.01195e-05 5.75296e+08
6.13592e-05 5.42208e+08
6.25744e-05 4.97813e+08
6.37664e-05 4.62323e+08
6.60859e-05 4.05976e+08
6.72157e-05 3.77954e+08
6.942e-05 3.46096e+08
7.04964e-05 3.14147e+08
7.15565e-05 2.83927e+08
7.26012e-05 2.79511e+08
7.36311e-05 2.56776e+08
7.46467e-05 2.32985e+08
7.56487e-05 2.31681e+08
7.7614e-05 1.96359e+08
7.85782e-05 1.91179e+08
7.95307e-05 1.75411e+08
8.04719e-05 1.61372e+08
8.14022e-05 1.5849e+08
8.2322e-05 1.46669e+08
8.32317e-05 1.41559e+08
8.50218e-05 1.29122e+08
8.59029e-05 1.21314e+08
8.67751e-05 1.14485e+08
8.76385e-05 1.07167e+08
8.84935e-05 1.11444e+08
8.93404e-05 1.02039e+08
9.01793e-05 9.45356e+07
9.18341e-05 8.83644e+07
9.26504e-05 8.03422e+07
9.34596e-05 7.85601e+07
9.42618e-05 7.34687e+07
9.58462e-05 6.87424e+07
9.66286e-05 6.60437e+07
9.81748e-05 6.24237e+07
9.89388e-05 5.98683e+07
9.9697e-05 5.67247e+07
0.000100947 5.22229e+07
0.000101938 5.21287e+07
0.000102674 5.01592e+07
0.00010413 4.74991e+07
0.000104851 4.55838e+07
0.000105793 4.31224e+07
0.000106983 4.09807e+07
0.000107685 4.071e+07
0.000108382 4.04032e+07
0.000109763 3.45944e+07
0.000110447 3.65061e+07
0.000111126 3.35379e+07
0.00011207 3.3383e+07
0.000113141 3.09523e+07
0.000113804 3.20027e+07
0.00011512 2.93204e+07
0.000115772 2.92738e+07
0.000116605 2.7887e+07
0.000118768 2.61364e+07
0.000120655 2.53004e+07
0.000121732 2.32856e+07
0.000122718 2.21016e+07
0.000123466 2.1907e+07
0.000125149 2.01996e+07
0.000125749 2.06681e+07
0.000126644 1.98673e+07
0.000127941 1.85551e+07
0.000128708 1.89788e+07
0.000130739 1.63466e+07
0.000131943 1.60741e+07
0.000132953 1.57361e+07
0.000134431 1.48731e+07
0.000135328 1.4679e+07
0.000136101 1.32167e+07
0.000137477 1.2924e+07
0.00013884 1.12042e+07
0.000139516 1.2186e+07
0.000140611 1.14496e+07
0.000141939 1.07235e+07
0.000143463 9.79019e+06
0.000144385 1.03373e+07
0.000145548 9.37317e+06
0.000146631 8.62868e+06
0.000148112 8.71717e+06
0.00014952 8.01052e+06
0.000150299 7.98985e+06
0.000151832 7.09394e+06
0.000152783 7.33842e+06
0.000154045 7.00442e+06
0.000155658 6.2808e+06
0.00015665 6.20083e+06
0.0001579 5.7095e+06
0.000159354 5.61774e+06
0.000160279 5.63006e+06
0.000161626 5.1799e+06
0.000163463 5.07008e+06
0.000164644 4.78103e+06
0.000165783 4.73574e+06
0.000167197 4.41446e+06
0.000168799 4.29421e+06
0.000170423 4.2029e+06
0.000171157 3.91085e+06
0.000172744 3.75617e+06
0.000174349 3.63967e+06
0.00017592 3.39288e+06
0.000177497 3.27576e+06
0.000178723 3.27471e+06
0.000180282 3.10118e+06
0.000181376 3.03942e+06
0.000182743 2.86682e+06
0.000184551 2.78467e+06
0.000185977 2.69618e+06
0.000187589 2.5797e+06
0.000188953 2.37089e+06
0.000190863 2.36196e+06
0.000192158 2.29053e+06
0.000193916 2.20747e+06
0.000195504 2.02858e+06
0.000197181 2.00183e+06
0.000198613 1.86328e+06
0.000200148 1.76274e+06
0.000201721 1.69296e+06
0.000203587 1.64416e+06
0.00020541 1.54244e+06
0.000207172 1.44359e+06
0.000208922 1.43189e+06
0.000210371 1.33961e+06
0.000212078 1.27904e+06
0.000214191 1.21214e+06
0.000215596 1.20475e+06
0.00021743 1.0931e+06
0.000219259 1.04098e+06
0.000221084 986628
0.00022283 952134
0.000224493 940759
0.000226376 852247
0.000228421 841878
0.000230288 826584
0.000231928 772153
0.00023399 725279
0.000236053 689705
0.000237805 693306
0.000239779 638480
0.000241744 638524
0.000243673 594425
0.000245757 582197
0.000247871 557204
0.00024984 537377
0.000251597 512264
0.000253565 488538
0.000256 464895
0.000258364 448115
0.000260499 435980
0.000262417 403527
0.000264367 385810
0.000266592 361952
0.000268987 345015
0.000271108 338990
0.000273349 317045
0.000275546 298124
0.000277706 286238
0.000280204 269328
0.000282696 269312
0.000284955 256715
0.000287036 235194
0.000289296 226388
0.000291909 221363
0.000294404 214109
0.000296654 205965
0.000299082 202546
0.000301403 188902
0.000303861 177355
0.000306413 169840
0.000308749 160144
0.000311525 155321
0.000313955 148030
0.000316471 143355
0.000319321 140129
0.000322008 129158
0.000324666 122630
0.00032719 115691
0.000329929 112161
0.000332507 108743
0.000335216 104856
0.000337986 97849.9
0.000340927 92186.7
0.000343668 87864.6
0.000346605 83548.5
0.000349164 81526.5
0.000352165 75577.8
0.000355188 72476.8
0.000358008 71538.2
0.000361098 66864.6
0.000363971 63700.5
0.00036707 58978.3
0.000369977 58500.9
0.000373107 55070
0.000376085 53538.1
0.000379074 50544.6
0.000382228 48067.8
0.00038541 46608.2
0.000388542 44290.7
0.000391757 41821.2
0.000394981 40448.4
0.000398111 37189.7
0.000401474 35839
0.000404717 34113.4
0.000407935 33112
0.000411525 31783.4
0.000414686 30826.9
0.000418155 29390.7
0.00042175 27725.7
0.000425291 25771.9
0.000428636 24797.9
0.000432208 23659.4
0.0004357 22884.3
0.000439332 21766.2
0.000442787 20623.4
0.000446449 19775.7
0.000450291 18739.9
0.000453801 18411.8
0.000457447 17222.3
0.000461323 16341.5
0.000465014 15520.1
0.000468866 14969.5
0.000472806 13944.4
0.00047678 13641.8
0.000480624 12854
0.000484555 12431.7
0.000488474 11847.1
0.000492396 11154.6
0.000496538 10837.8
0.000500678 10282.3
0.000504761 9796.79
0.000508767 9308.15
0.000512959 8936.61
0.000517253 8542.34
0.000521544 7950.78
0.000525774 7786.61
0.000530168 7310.03
0.000534431 6981.46
0.00053878 6547.41
0.000543223 6302.37
0.000547788 6115.08
0.000552163 5770.3
0.000556755 5452.87
0.000561463 5140.3
0.000566064 5045.74
0.000570587 4756.1
0.000575277 4405.48
0.000580056 4288.29
0.000584753 4166.85
0.000589576 3942.11
0.000594327 3790.47
0.000599226 3553.85
0.000604166 3392.54
0.000609275 3179.77
0.000614265 3137.54
0.000619191 2984.54
0.000624415 2815.92
0.000629458 2677.88
0.00063466 2549.92
0.00063975 2427.53
0.00064489 2326.23
0.000650271 2231.25
0.000655619 2091.71
0.000661178 1995.94
0.000666601 1910.21
0.00067198 1802.82
0.000677465 1748.72
0.000682952 1693.93
0.000688602 1576.89
0.000694365 1515.28
0.000699968 1436.84
0.00070566 1358.62
0.000711633 1318.93
0.000717351 1237.64
0.000723301 1166.23
0.000729237 1130.65
0.00073526 1060.52
0.000741287 1027.46
0.000747431 974.129
0.000753573 942.201
0.000759705 896.129
0.000765936 845.717
0.000772341 818.192
0.000778615 771.757
0.000785031 733.961
0.000791493 688.442
0.000797999 666.089
0.000804499 628.803
0.000811074 604.01
0.000817707 578.69
0.000824546 545.654
0.000831271 523.287
0.000838002 496.831
0.000844949 474.585
0.000851929 453.161
0.000858954 426.544
0.000865919 410.594
0.000873072 390.325
0.000880195 374.792
0.000887393 348.839
0.000894783 339.013
0.000902097 320.728
0.00090951 304.154
0.000916929 293.489
0.000924423 276.944
0.00093206 262.668
0.000939669 252.338
0.000947384 242.234
0.000955222 231.271
0.000963012 218.186
0.00097096 208.218
0.000978975 198.525
0.000986946 187.627
0.000995044 181.692
0.00100317 171.506
0.00101134 162.573
0.00101966 155.269
0.00102811 148.377
0.0010366 141.754
0.00104515 134.422
0.00105367 128.104
0.0010623 121.141
0.00107099 116.458
0.00107984 110.62
0.00108877 105.655
0.00109754 100.649
0.00110658 96.2255
0.00111585 91.2012
0.001125 86.1238
0.00113422 82.2244
0.00114355 78.8525
0.00115284 74.7846
0.0011623 71.3965
0.00117183 68.4046
0.00118147 65.2356
0.00119124 61.8715
0.00120099 59.6312
0.00121082 55.8744
0.00122077 53.9137
0.00123083 51.1711
0.00124092 48.461
0.00125109 45.7574
0.00126141 44.3209
0.00127177 42.1015
0.00128216 40.1223
0.00129272 38.0938
0.00130337 36.3581
0.00131407 34.7153
0.00132486 33.1944
0.00133574 31.4686
0.00134668 29.7849
0.0013577 28.5551
0.0013688 27.2446
0.00138009 25.8975
0.00139144 24.6316
0.00140285 23.4293
0.00141438 22.5002
0.0014259 21.2981
0.00143763 20.2561
0.00144946 19.2796
0.00146138 18.4735
0.00147343 17.4117
0.00148553 16.7763
0.00149773 15.899
0.00150998 15.1555
0.00152238 14.4517
0.00153493 13.7935
0.00154754 13.1724
0.0015602 12.5647
0.00157297 11.9483
0.00158593 11.3614
0.00159901 10.8476
0.00161212 10.2921
0.00162533 9.82795
0.00163867 9.34249
0.00165213 8.95471
0.00166568 8.51334
0.00167936 8.10222
0.00169314 7.72161
0.00170706 7.35012
0.00172108 7.00091
0.00173519 6.68122
0.00174947 6.34681
0.00176388 6.07346
0.00177833 5.75789
0.00179289 5.52793
0.00180762 5.24674
0.0018225 5.00659
0.00183749 4.76361
0.00185259 4.53726
0.00186776 4.31865
0.00188308 4.11469
0.00189858 3.92343
0.00191415 3.7223
0.00192986 3.57804
0.00194568 3.40842
0.00196164 3.24086
0.00197781 3.07753
0.00199407 2.94691
0.00201041 2.8082
0.0020269 2.67695
0.00204357 2.53785
0.00206031 2.42286
0.00207723 2.31531
0.00209433 2.20191
0.00211151 2.09936
0.00212883 2.0089
0.00214631 1.90646
0.00216395 1.8169
0.00218171 1.73065
0.00219964 1.64861
0.0022177 1.57499
0.00223591 1.50485
0.00225426 1.42854
0.00227273 1.36322
0.00229144 1.30044
0.00231024 1.23968
0.00232919 1.18172
0.00234835 1.12669
0.00236765 1.07634
0.00238708 1.02606
0.00240668 0.976323
0.00242645 0.931919
0.00244635 0.889791
0.00246642 0.847517
0.00248668 0.808109
0.00250712 0.769909
0.0025277 0.733134
0.00254846 0.698423
0.00256938 0.666476
0.00259045 0.636618
0.00261172 0.606182
0.00263319 0.578959
0.00265482 0.551125
0.0026766 0.524734
0.00269857 0.500585
0.00272074 0.477497
0.00274311 0.454972
0.00276562 0.434038
0.00278831 0.415207
0.00281122 0.394725
0.00283428 0.376854
0.00285753 0.359152
0.00288102 0.342731
0.00290469 0.327191
0.00292852 0.311412
0.00295255 0.297103
0.00297682 0.283961
0.00300132 0.270121
0.00302595 0.258189
0.00305077 0.24638
0.00307582 0.234616
0.00310109 0.223903
0.00312652 0.213395
0.00315219 0.20339
0.00317808 0.194096
0.00320418 0.185194
0.00323049 0.176832
0.003257 0.168567
0.00328375 0.16068
0.00331073 0.153359
0.00333793 0.146402
0.00336532 0.139558
0.00339295 0.13309
0.00342081 0.127086
0.0034489 0.121189
0.00347724 0.115739
0.00350579 0.110247
0.00353457 0.105206
0.00356356 0.100449
0.0035928 0.0957149
0.0036223 0.0914435
0.00365206 0.0873008
0.00368208 0.0831081
0.00371232 0.0792736
0.0037428 0.0756098
0.00377353 0.0724122
0.00380451 0.0689095
0.00383574 0.0658279
0.00386724 0.06278
0.00389899 0.0599461
0.003931 0.0571938
0.0039633 0.0545465
0.00399584 0.0521607
0.00402865 0.0497434
0.00406173 0.0474513
0.00409507 0.0452955
0.00412871 0.0432491
0.00416262 0.0412861
0.0041968 0.0393764
0.00423127 0.0376443
0.004266 0.0359174
0.00430101 0.0342578
0.00433633 0.0327193
0.00437195 0.0312266
0.00440786 0.0298201
0.00444405 0.0284911
0.00448053 0.0271959
0.00451731 0.0259448
0.0045544 0.02479
0.00459181 0.0236929
0.00462953 0.0226226
0.00466752 0.0215939
0.00470583 0.0206196
0.00474448 0.0196974
0.00478347 0.0188156
0.00482275 0.0179909
0.00486234 0.0171586
0.00490225 0.0163898
0.0049425 0.0156684
0.0049831 0.01497
0.00502401 0.0142959
0.00506526 0.0136774
0.00510687 0.0130692
0.00514879 0.012496
0.00519107 0.0119303
0.0052337 0.0114141
0.00527667 0.0108885
0.00532001 0.0104265
0.00536367 0.00997156
0.00540771 0.00954461
0.00545214 0.00911658
0.0054969 0.00872221
0.00554203 0.0083389
0.00558753 0.00797515
0.00563342 0.00763809
0.00567967 0.00730991
0.00572631 0.00699594
0.00577334 0.00669551
0.00582073 0.00641665
0.00586853 0.00613854
0.00591672 0.00588312
0.0059653 0.00563809
0.00601426 0.00540441
0.00606365 0.00517794
0.00611346 0.00496209
0.00616366 0.00476166
0.00621427 0.00456826
0.00626529 0.00438427
0.00631673 0.0042082
0.00636859 0.0040384
0.00642088 0.00388473
0.00647362 0.00372524
0.00652677 0.00358117
0.00658036 0.00344433
0.0066344 0.0033125
0.00668886 0.0031871
0.00674379 0.0030706
0.00679918 0.00295717
0.00685501 0.00284781
0.00691131 0.00274698
0.00696806 0.00264985
0.00702526 0.00255845
0.00708294 0.00247165
0.00714111 0.00238842
0.00719973 0.00230777
0.00725885 0.00223329
0.00731846 0.00216174
0.00737856 0.00209402
0.00743915 0.00203098
0.00750022 0.001969
0.0075618 0.00191187
0.0076239 0.00185716
0.00768649 0.00180617
0.00774961 0.00175676
0.00781325 0.00171033
0.00787742 0.00166723
0.0079421 0.00162465
0.0080073 0.00158486
0.00807306 0.00154769
0.00813935 0.00151077
0.00820618 0.0014782
0.00827356 0.00144535
0.0083415 0.00141436
0.00840998 0.00138427
0.00847904 0.00135688
0.00854867 0.0013303
0.00861886 0.00130378
0.00868963 0.00127933
0.00876099 0.00125638
0.00883292 0.00123358
0.00890544 0.00121035
0.00897858 0.00118995
0.00905231 0.00117006
0.00912663 0.00114949
0.00920156 0.00113088
0.00927713 0.00111172
0.0093533 0.00109466
0.0094301 0.00107645
0.00950753 0.00105884
0.0095856 0.0010428
0.00966431 0.00102615
0.00974367 0.00101036
0.00982367 0.000995466
0.00990433 0.000980254
0.00998566 0.000965798
0.0100677 0.000951942
0.0101503 0.000938305
0.0102337 0.000925027
0.0103177 0.000912801
0.0104024 0.000900188
0.0104878 0.000888754
0.010574 0.000877365
0.0106608 0.000867086
0.0107483 0.000856674
0.0108366 0.000846863
0.0109256 0.00083752
0.0110152 0.000826413
0.0111055 0.000734376
0.0111967 0.00063463
0.0112886 0.000564605
0.0113813 0.000513809
0.0114748 0.000475873
0.011569 0.000446563
0.011664 0.000423562
0.0117598 0.000405553
0.0118563 0.000391117
0.0119537 0.000379499
0.0120518 0.000370249
0.0121508 0.000362744
0.0122505 0.000356837
0.0123511 0.000352241
0.0124525 0.000348493
0.0125548 0.000345727
0.0126579 0.000343646
0.0127618 0.000342276
0.0128666 0.000341231
0.0129722 0.000340526
0.0130787 0.000340289
0.0131861 0.000340204
0.0132944 0.000340217
0.0134035 0.000340219
0.0135136 0.000340599
0.0136245 0.000340573
0.0137363 0.000340533
0.0138491 0.000340486
0.0139628 0.000340145
0.0140774 0.000339904
0.014193 0.000339401
0.0143095 0.000338646
0.014427 0.00033745
0.0145454 0.000335986
0.0146648 0.000334195
0.0147852 0.000331844
0.0149065 0.000328395
0.0150288 0.000324205
0.0151522 0.000318211
0.0152765 0.000310195
0.0154018 0.000299309
0.0155281 0.00028351
0.0156556 0.00026508
0.0157843 0.000256283
0.0159139 0.00025396
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