# k P_nu(k)
# a = 0.208715
# nbins = 695
1.22718e-05 1.25982e+11
1.7355e-05 6.71e+10
2.12555e-05 4.18038e+10
2.45437e-05 2.81267e+10
2.74407e-05 2.0096e+10
3.00598e-05 1.50278e+10
3.471e-05 9.33107e+09
3.68155e-05 7.40499e+09
3.8807e-05 5.97593e+09
4.07011e-05 5.13294e+09
4.25109e-05 4.32425e+09
4.42468e-05 3.78842e+09
4.5917e-05 3.21618e+09
4.90874e-05 2.62964e+09
5.05981e-05 2.31467e+09
5.2065e-05 2.1329e+09
5.34917e-05 1.86092e+09
5.48814e-05 1.71879e+09
5.62367e-05 1.5848e+09
5.75601e-05 1.49311e+09
6.01195e-05 1.21479e+09
6.13592e-05 1.15132e+09
6.25744e-05 1.05568e+09
6.37664e-05 9.81493e+08
6.60859e-05 8.65811e+08
6.72157e-05 8.06232e+08
6.942e-05 7.47062e+08
7.04964e-05 6.74001e+08
7.15565e-05 6.04543e+08
7.26012e-05 6.0211e+08
7.36311e-05 5.5109e+08
7.46467e-05 4.95904e+08
7.56487e-05 4.99561e+08
7.7614e-05 4.19977e+08
7.85782e-05 4.12033e+08
7.95307e-05 3.76055e+08
8.04719e-05 3.44118e+08
8.14022e-05 3.41318e+08
8.2322e-05 3.14154e+08
8.32317e-05 3.04851e+08
8.50218e-05 2.7873e+08
8.59029e-05 2.62159e+08
8.67751e-05 2.47175e+08
8.76385e-05 2.30729e+08
8.84935e-05 2.4479e+08
8.93404e-05 2.22391e+08
9.01793e-05 2.04902e+08
9.18341e-05 1.92878e+08
9.26504e-05 1.734e+08
9.34596e-05 1.70703e+08
9.42618e-05 1.58802e+08
9.58462e-05 1.49215e+08
9.66286e-05 1.43407e+08
9.81748e-05 1.36285e+08
9.89388e-05 1.30852e+08
9.9697e-05 1.23488e+08
0.000100947 1.13064e+08
0.000101938 1.14323e+08
0.000102674 1.09863e+08
0.00010413 1.04511e+08
0.000104851 1.0008e+08
0.000105793 9.43061e+07
0.000106983 8.95838e+07
0.000107685 8.96488e+07
0.000108382 8.93709e+07
0.000109763 7.51136e+07
0.000110447 8.04491e+07
0.000111126 7.30464e+07
0.00011207 7.3305e+07
0.000113141 6.74298e+07
0.000113804 7.0636e+07
0.00011512 6.41905e+07
0.000115772 6.44741e+07
0.000116605 6.12595e+07
0.000118768 5.75673e+07
0.000120655 5.62023e+07
0.000121732 5.12489e+07
0.000122718 4.85912e+07
0.000123466 4.82988e+07
0.000125149 4.42858e+07
0.000125749 4.58593e+07
0.000126644 4.40119e+07
0.000127941 4.09643e+07
0.000128708 4.24315e+07
0.000130739 3.59478e+07
0.000131943 3.55897e+07
0.000132953 3.50561e+07
0.000134431 3.30674e+07
0.000135328 3.2771e+07
0.000136101 2.90559e+07
0.000137477 2.86227e+07
0.00013884 2.43236e+07
0.000139516 2.71557e+07
0.000140611 2.54439e+07
0.000141939 2.37685e+07
0.000143463 2.15478e+07
0.000144385 2.31826e+07
0.000145548 2.08465e+07
0.000146631 1.90127e+07
0.000148112 1.94915e+07
0.00014952 1.7819e+07
0.000150299 1.78403e+07
0.000151832 1.5679e+07
0.000152783 1.64707e+07
0.000154045 1.57369e+07
0.000155658 1.39685e+07
0.00015665 1.38587e+07
0.0001579 1.26602e+07
0.000159354 1.25601e+07
0.000160279 1.26761e+07
0.000161626 1.15736e+07
0.000163463 1.14278e+07
0.000164644 1.07335e+07
0.000165783 1.06496e+07
0.000167197 9.9114e+06
0.000168799 9.65472e+06
0.000170423 9.52242e+06
0.000171157 8.76525e+06
0.000172744 8.41844e+06
0.000174349 8.17066e+06
0.00017592 7.60289e+06
0.000177497 7.33801e+06
0.000178723 7.3839e+06
0.000180282 6.97697e+06
0.000181376 6.86389e+06
0.000182743 6.43216e+06
0.000184551 6.27978e+06
0.000185977 6.08703e+06
0.000187589 5.82122e+06
0.000188953 5.30721e+06
0.000190863 5.34088e+06
0.000192158 5.18415e+06
0.000193916 5.00682e+06
0.000195504 4.57105e+06
0.000197181 4.54799e+06
0.000198613 4.19755e+06
0.000200148 3.96287e+06
0.000201721 3.81291e+06
0.000203587 3.72803e+06
0.00020541 3.49023e+06
0.000207172 3.25966e+06
0.000208922 3.26574e+06
0.000210371 3.03844e+06
0.000212078 2.90327e+06
0.000214191 2.74975e+06
0.000215596 2.75456e+06
0.00021743 2.47016e+06
0.000219259 2.35621e+06
0.000221084 2.23497e+06
0.00022283 2.15511e+06
0.000224493 2.14204e+06
0.000226376 1.9267e+06
0.000228421 1.91337e+06
0.000230288 1.88973e+06
0.000231928 1.7505e+06
0.00023399 1.64745e+06
0.000236053 1.55846e+06
0.000237805 1.58296e+06
0.000239779 1.4472e+06
0.000241744 1.46236e+06
0.000243673 1.35061e+06
0.000245757 1.33026e+06
0.000247871 1.27279e+06
0.00024984 1.22648e+06
0.000251597 1.17123e+06
0.000253565 1.11768e+06
0.000256 1.0651e+06
0.000258364 1.02661e+06
0.000260499 1.00656e+06
0.000262417 926189
0.000264367 882892
0.000266592 824502
0.000268987 783924
0.000271108 780832
0.000273349 726812
0.000275546 683780
0.000277706 654584
0.000280204 615844
0.000282696 622182
0.000284955 595462
0.000287036 539024
0.000289296 519930
0.000291909 511627
0.000294404 496174
0.000296654 477211
0.000299082 472468
0.000301403 439564
0.000303861 410009
0.000306413 393226
0.000308749 369347
0.000311525 359878
0.000313955 341527
0.000316471 332942
0.000319321 327375
0.000322008 300163
0.000324666 284067
0.00032719 267884
0.000329929 260129
0.000332507 252854
0.000335216 245260
0.000337986 227460
0.000340927 214440
0.000343668 205025
0.000346605 194538
0.000349164 190588
0.000352165 176256
0.000355188 169284
0.000358008 167520
0.000361098 156055
0.000363971 149155
0.00036707 137086
0.000369977 136812
0.000373107 128882
0.000376085 125951
0.000379074 118858
0.000382228 112978
0.00038541 109413
0.000388542 103991
0.000391757 98506.8
0.000394981 95041
0.000398111 87063.9
0.000401474 84171.4
0.000404717 80051
0.000407935 77956
0.000411525 75389.2
0.000414686 72976.9
0.000418155 69572.5
0.00042175 65499
0.000425291 60896.5
0.000428636 58706.8
0.000432208 55946.3
0.0004357 54205.4
0.000439332 51568.9
0.000442787 48871.8
0.000446449 46916.2
0.000450291 44509.2
0.000453801 43952.7
0.000457447 41029.7
0.000461323 38800.4
0.000465014 36987.8
0.000468866 35652.7
0.000472806 33194.3
0.00047678 32552.8
0.000480624 30796.7
0.000484555 29663.3
0.000488474 28398
0.000492396 26640
0.000496538 26002
0.000500678 24624.5
0.000504761 23512
0.000508767 22355.1
0.000512959 21544
0.000517253 20520.4
0.000521544 19070
0.000525774 18749.6
0.000530168 17603.9
0.000534431 16802.3
0.00053878 15854.3
0.000543223 15225.6
0.000547788 14826.4
0.000552163 13976.1
0.000556755 13110.7
0.000561463 12447.9
0.000566064 12227.6
0.000570587 11510.2
0.000575277 10689.4
0.000580056 10428.9
0.000584753 10138.1
0.000589576 9639.72
0.000594327 9225.92
0.000599226 8672.55
0.000604166 8279.2
0.000609275 7718.85
0.000614265 7711.79
0.000619191 7277.34
0.000624415 6910.52
0.000629458 6578.4
0.00063466 6265.24
0.00063975 5954.94
0.00064489 5710.9
0.000650271 5476.41
0.000655619 5144.07
0.000661178 4916.79
0.000666601 4703.12
0.00067198 4452.11
0.000677465 4305.45
0.000682952 4179.57
0.000688602 3901.57
0.000694365 3744.78
0.000699968 3561.26
0.00070566 3369.17
0.000711633 3296.42
0.000717351 3078.26
0.000723301 2889.4
0.000729237 2817.69
0.00073526 2647.76
0.000741287 2571.49
0.000747431 2435.73
0.000753573 2347.25
0.000759705 2240.67
0.000765936 2113.53
0.000772341 2052.79
0.000778615 1941.09
0.000785031 1833.08
0.000791493 1723.69
0.000797999 1672.29
0.000804499 1583.42
0.000811074 1519.76
0.000817707 1461.52
0.000824546 1380.89
0.000831271 1327.48
0.000838002 1262.31
0.000844949 1205.27
0.000851929 1151.86
0.000858954 1080.45
0.000865919 1042.59
0.000873072 992.398
0.000880195 954.653
0.000887393 887.572
0.000894783 863.131
0.000902097 821.119
0.00090951 775.667
0.000916929 752.151
0.000924423 710.877
0.00093206 676.663
0.000939669 647.266
0.000947384 623.68
0.000955222 597.383
0.000963012 561.973
0.00097096 540.006
0.000978975 514.079
0.000986946 488.377
0.000995044 472.522
0.00100317 446.445
0.00101134 421.678
0.00101966 403.235
0.00102811 386.427
0.0010366 370.171
0.00104515 351.741
0.00105367 334.574
0.0010623 318.44
0.00107099 306.182
0.00107984 289.662
0.00108877 277.388
0.00109754 265.465
0.00110658 253.794
0.00111585 239.755
0.001125 227.87
0.00113422 217.506
0.00114355 209.938
0.00115284 198.843
0.0011623 190.087
0.00117183 183.141
0.00118147 173.759
0.00119124 165.163
0.00120099 159.172
0.00121082 149.742
0.00122077 144.498
0.00123083 137.681
0.00124092 130.859
0.00125109 123.596
0.00126141 119.822
0.00127177 113.691
0.00128216 108.34
0.00129272 102.998
0.00130337 98.9345
0.00131407 94.5959
0.00132486 89.9751
0.00133574 86.2528
0.00134668 81.9131
0.0013577 78.5199
0.0013688 74.6476
0.00138009 71.0203
0.00139144 67.898
0.00140285 64.6158
0.00141438 62.0599
0.0014259 58.7477
0.00143763 56.2264
0.00144946 53.3015
0.00146138 51.3785
0.00147343 48.3735
0.00148553 46.8219
0.00149773 44.3909
0.00150998 42.304
0.00152238 40.3555
0.00153493 38.7396
0.00154754 36.9279
0.0015602 35.3025
0.00157297 33.6032
0.00158593 31.9937
0.00159901 30.6426
0.00161212 29.2737
0.00162533 27.8019
0.00163867 26.4967
0.00165213 25.4947
0.00166568 24.2788
0.00167936 23.1386
0.00169314 22.1797
0.00170706 21.107
0.00172108 20.0949
0.00173519 19.2813
0.00174947 18.3278
0.00176388 17.5127
0.00177833 16.7147
0.00179289 15.9879
0.00180762 15.2704
0.0018225 14.6008
0.00183749 13.9097
0.00185259 13.2865
0.00186776 12.6869
0.00188308 12.0553
0.00189858 11.5466
0.00191415 11.0025
0.00192986 10.5436
0.00194568 10.074
0.00196164 9.60631
0.00197781 9.15176
0.00199407 8.74892
0.00201041 8.3486
0.0020269 8.01281
0.00204357 7.62303
0.00206031 7.26882
0.00207723 6.95268
0.00209433 6.61579
0.00211151 6.34595
0.00212883 6.07424
0.00214631 5.7635
0.00216395 5.5047
0.00218171 5.27106
0.00219964 5.02291
0.0022177 4.8082
0.00223591 4.59816
0.00225426 4.38184
0.00227273 4.18896
0.00229144 4.00285
0.00231024 3.82632
0.00232919 3.64765
0.00234835 3.49516
0.00236765 3.3368
0.00238708 3.19338
0.00240668 3.03999
0.00242645 2.91224
0.00244635 2.78335
0.00246642 2.65928
0.00248668 2.53828
0.00250712 2.42416
0.0025277 2.31679
0.00254846 2.212
0.00256938 2.11477
0.00259045 2.0221
0.00261172 1.93479
0.00263319 1.8447
0.00265482 1.76621
0.0026766 1.68119
0.00269857 1.61115
0.00272074 1.53849
0.00274311 1.46769
0.00276562 1.40534
0.00278831 1.34694
0.00281122 1.28115
0.00283428 1.22953
0.00285753 1.17395
0.00288102 1.12157
0.00290469 1.07158
0.00292852 1.02291
0.00295255 0.979244
0.00297682 0.936483
0.00300132 0.894665
0.00302595 0.856035
0.00305077 0.81841
0.00307582 0.782704
0.00310109 0.748192
0.00312652 0.714131
0.00315219 0.681512
0.00317808 0.653888
0.00320418 0.624399
0.00323049 0.597795
0.003257 0.570691
0.00328375 0.546133
0.00331073 0.522197
0.00333793 0.498782
0.00336532 0.47681
0.00339295 0.456287
0.00342081 0.43646
0.0034489 0.417932
0.00347724 0.399269
0.00350579 0.381322
0.00353457 0.364466
0.00356356 0.34886
0.0035928 0.333938
0.0036223 0.319141
0.00365206 0.304922
0.00368208 0.291908
0.00371232 0.279193
0.0037428 0.26714
0.00377353 0.25509
0.00380451 0.244381
0.00383574 0.233669
0.00386724 0.223573
0.00389899 0.214019
0.003931 0.204486
0.0039633 0.195405
0.00399584 0.187225
0.00402865 0.179108
0.00406173 0.171117
0.00409507 0.163769
0.00412871 0.156704
0.00416262 0.150042
0.0041968 0.143475
0.00423127 0.137252
0.004266 0.131265
0.00430101 0.125562
0.00433633 0.120107
0.00437195 0.11504
0.00440786 0.110071
0.00444405 0.105242
0.00448053 0.100873
0.00451731 0.0964326
0.0045544 0.0923159
0.00459181 0.0883067
0.00462953 0.0844675
0.00466752 0.0808442
0.00470583 0.0773789
0.00474448 0.0740493
0.00478347 0.0709072
0.00482275 0.0678166
0.00486234 0.0649661
0.00490225 0.0621635
0.0049425 0.0595323
0.0049831 0.0569006
0.00502401 0.0545543
0.00506526 0.0521636
0.00510687 0.0499859
0.00514879 0.0478786
0.00519107 0.0458213
0.0052337 0.0438742
0.00527667 0.042014
0.00532001 0.0402463
0.00536367 0.0385164
0.00540771 0.036892
0.00545214 0.0353486
0.0054969 0.0338484
0.00554203 0.0324348
0.00558753 0.0310494
0.00563342 0.0297468
0.00567967 0.0285066
0.00572631 0.027319
0.00577334 0.0261811
0.00582073 0.0250996
0.00586853 0.0240534
0.00591672 0.0230537
0.0059653 0.0221002
0.00601426 0.0211809
0.00606365 0.0203074
0.00611346 0.0194807
0.00616366 0.0186789
0.00621427 0.0179148
0.00626529 0.0171981
0.00631673 0.0165046
0.00636859 0.0158401
0.00642088 0.0152052
0.00647362 0.0146001
0.00652677 0.0140222
0.00658036 0.0134631
0.0066344 0.0129298
0.00668886 0.0124261
0.00674379 0.0119413
0.00679918 0.0114764
0.00685501 0.0110381
0.00691131 0.0106098
0.00696806 0.0102107
0.00702526 0.00981896
0.00708294 0.00945027
0.00714111 0.00910118
0.00719973 0.00875838
0.00725885 0.00843517
0.00731846 0.00812889
0.00737856 0.00782683
0.00743915 0.00754728
0.00750022 0.00727435
0.0075618 0.00701458
0.0076239 0.00676636
0.00768649 0.00652673
0.00774961 0.0062987
0.00781325 0.00607745
0.00787742 0.00586981
0.0079421 0.00566878
0.0080073 0.00547363
0.00807306 0.00529038
0.00813935 0.00511189
0.00820618 0.00494347
0.00827356 0.00477384
0.0083415 0.00461829
0.00840998 0.00446405
0.00847904 0.00432065
0.00854867 0.00417962
0.00861886 0.00404564
0.00868963 0.00391477
0.00876099 0.0037908
0.00883292 0.00367124
0.00890544 0.00355371
0.00897858 0.00344392
0.00905231 0.00333635
0.00912663 0.00323319
0.00920156 0.00313336
0.00927713 0.00303874
0.0093533 0.00294803
0.0094301 0.00286078
0.00950753 0.00277766
0.0095856 0.00269605
0.00966431 0.00261795
0.00974367 0.00254401
0.00982367 0.00247254
0.00990433 0.00240573
0.00998566 0.0023398
0.0100677 0.00227817
0.0101503 0.00222056
0.0102337 0.00216373
0.0103177 0.00211024
0.0104024 0.00205993
0.0104878 0.00201178
0.010574 0.00196652
0.0106608 0.00192498
0.0107483 0.00188498
0.0108366 0.00184765
0.0109256 0.00181285
0.0110152 0.0017775
0.0111055 0.00167877
0.0111967 0.00156303
0.0112886 0.00146709
0.0113813 0.0013866
0.0114748 0.00131688
0.011569 0.0012567
0.011664 0.00120333
0.0117598 0.00115709
0.0118563 0.00111527
0.0119537 0.00107688
0.0120518 0.00104286
0.0121508 0.00101105
0.0122505 0.000982779
0.0123511 0.000956607
0.0124525 0.000932128
0.0125548 0.000909231
0.0126579 0.000887931
0.0127618 0.000868154
0.0128666 0.000849502
0.0129722 0.000831596
0.0130787 0.0008147
0.0131861 0.000798818
0.0132944 0.000783969
0.0134035 0.000769323
0.0135136 0.000755858
0.0136245 0.000743033
0.0137363 0.000730424
0.0138491 0.000718906
0.0139628 0.000707527
0.0140774 0.000697289
0.014193 0.000687405
0.0143095 0.000677717
0.014427 0.000668721
0.0145454 0.000660145
0.0146648 0.00065174
0.0147852 0.000643367
0.0149065 0.0006347
0.0150288 0.000625784
0.0151522 0.000615694
0.0152765 0.000603732
0.0154018 0.000588641
0.0155281 0.000568338
0.0156556 0.0005442
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