# k P_nu(k)
# a = 0.045894
# nbins = 695
1.22718e-05 1.18037e+09
1.7355e-05 5.08987e+08
2.12555e-05 2.81261e+08
2.45437e-05 1.75262e+08
2.74407e-05 1.18006e+08
3.00598e-05 8.39297e+07
3.471e-05 4.77583e+07
3.68155e-05 3.73623e+07
3.8807e-05 2.988e+07
4.07011e-05 2.46462e+07
4.25109e-05 2.05079e+07
4.42468e-05 1.74331e+07
4.5917e-05 1.48469e+07
4.90874e-05 1.13988e+07
5.05981e-05 1.00336e+07
5.2065e-05 8.97816e+06
5.34917e-05 7.97154e+06
5.48814e-05 7.20868e+06
5.62367e-05 6.54476e+06
5.75601e-05 5.99486e+06
6.01195e-05 4.96506e+06
6.13592e-05 4.58779e+06
6.25744e-05 4.21672e+06
6.37664e-05 3.8959e+06
6.60859e-05 3.35523e+06
6.72157e-05 3.11537e+06
6.942e-05 2.73425e+06
7.04964e-05 2.52763e+06
7.15565e-05 2.33599e+06
7.26012e-05 2.21221e+06
7.36311e-05 2.05665e+06
7.46467e-05 1.90757e+06
7.56487e-05 1.81769e+06
7.7614e-05 1.57853e+06
7.85782e-05 1.49756e+06
7.95307e-05 1.39658e+06
8.04719e-05 1.30595e+06
8.14022e-05 1.2426e+06
8.2322e-05 1.16546e+06
8.32317e-05 1.10534e+06
8.50218e-05 993095
8.59029e-05 935172
8.67751e-05 883973
8.76385e-05 834195
8.84935e-05 812061
8.93404e-05 762573
9.01793e-05 718837
9.18341e-05 656112
9.26504e-05 617030
9.34596e-05 592129
9.42618e-05 561629
9.58462e-05 516692
9.66286e-05 495229
9.81748e-05 458240
9.89388e-05 439670
9.9697e-05 420985
0.000100947 392754
0.000101938 378049
0.000102674 364554
0.00010413 340567
0.000104851 328730
0.000105793 313797
0.000106983 297586
0.000107685 289854
0.000108382 283042
0.000109763 258632
0.000110447 258048
0.000111126 246539
0.00011207 239312
0.000113141 227036
0.000113804 224747
0.00011512 211035
0.000115772 206965
0.000116605 199200
0.000118768 184241
0.000120655 173194
0.000121732 164188
0.000122718 157135
0.000123466 153584
0.000125149 143409
0.000125749 141715
0.000126644 136730
0.000127941 129215
0.000128708 127091
0.000130739 115074
0.000131943 110642
0.000132953 106632
0.000134431 100725
0.000135328 97806.6
0.000136101 92638.1
0.000137477 88454
0.00013884 81557.4
0.000139516 81828.4
0.000140611 77725.4
0.000141939 73325.4
0.000143463 68317.7
0.000144385 67548.4
0.000145548 63333.1
0.000146631 59979.3
0.000148112 57589.4
0.00014952 53934.7
0.000150299 52781.2
0.000151832 48763
0.000152783 47932.5
0.000154045 45631.7
0.000155658 42320.6
0.00015665 41078.7
0.0001579 38821.8
0.000159354 37220.8
0.000160279 36385.8
0.000161626 34362.8
0.000163463 32659.1
0.000164644 31241.6
0.000165783 30429.9
0.000167197 28808.4
0.000168799 27661.9
0.000170423 26510.4
0.000171157 25573
0.000172744 24471.7
0.000174349 23502
0.00017592 22250.5
0.000177497 21373.6
0.000178723 20870.9
0.000180282 19924.2
0.000181376 19366.6
0.000182743 18563.2
0.000184551 17757
0.000185977 17106
0.000187589 16363.7
0.000188953 15532.2
0.000190863 14918.5
0.000192158 14409.3
0.000193916 13757.8
0.000195504 12977.8
0.000197181 12470.1
0.000198613 11870.4
0.000200148 11314.2
0.000201721 10809.5
0.000203587 10287.5
0.00020541 9709.97
0.000207172 9178.56
0.000208922 8816.43
0.000210371 8397.56
0.000212078 7991.16
0.000214191 7542.53
0.000215596 7312.59
0.00021743 6870.54
0.000219259 6531.15
0.000221084 6199.58
0.00022283 5947.18
0.000224493 5751.17
0.000226376 5394.02
0.000228421 5196.46
0.000230288 5003.96
0.000231928 4782.69
0.00023399 4523.51
0.000236053 4327.93
0.000237805 4210.46
0.000239779 3983.06
0.000241744 3859.72
0.000243673 3671.54
0.000245757 3533.68
0.000247871 3377.49
0.00024984 3247.74
0.000251597 3107.68
0.000253565 2969.33
0.000256 2815.23
0.000258364 2687.54
0.000260499 2568.99
0.000262417 2435.22
0.000264367 2334.72
0.000266592 2210.32
0.000268987 2103.55
0.000271108 2010.33
0.000273349 1904.91
0.000275546 1803.22
0.000277706 1727.08
0.000280204 1630.52
0.000282696 1570.07
0.000284955 1492.8
0.000287036 1416.05
0.000289296 1355.3
0.000291909 1297.42
0.000294404 1239.43
0.000296654 1192
0.000299082 1146.19
0.000301403 1088.25
0.000303861 1036.42
0.000306413 989.769
0.000308749 944.702
0.000311525 902.023
0.000313955 864.974
0.000316471 826.063
0.000319321 790.448
0.000322008 744.98
0.000324666 710.406
0.00032719 675.686
0.000329929 647.43
0.000332507 619.791
0.000335216 591.042
0.000337986 559.744
0.000340927 529.087
0.000343668 503.194
0.000346605 478.845
0.000349164 460.375
0.000352165 433.785
0.000355188 413.794
0.000358008 399.42
0.000361098 377.979
0.000363971 360.427
0.00036707 341.174
0.000369977 329.177
0.000373107 312.031
0.000376085 299.12
0.000379074 284.428
0.000382228 270.641
0.00038541 259.607
0.000388542 247.166
0.000391757 233.929
0.000394981 224.363
0.000398111 211.206
0.000401474 201.421
0.000404717 192.063
0.000407935 183.702
0.000411525 174.18
0.000414686 167.708
0.000418155 159.513
0.00042175 151.564
0.000425291 142.815
0.000428636 136.501
0.000432208 130.233
0.0004357 124.94
0.000439332 118.723
0.000442787 113
0.000446449 107.808
0.000450291 102.231
0.000453801 98.3703
0.000457447 92.9682
0.000461323 88.6082
0.000465014 84.2194
0.000468866 80.3606
0.000472806 76.0697
0.00047678 72.7612
0.000480624 68.8642
0.000484555 66.1401
0.000488474 62.9448
0.000492396 59.7268
0.000496538 57.1368
0.000500678 54.3389
0.000504761 51.7341
0.000508767 49.2251
0.000512959 46.8212
0.000517253 44.6905
0.000521544 42.1986
0.000525774 40.4955
0.000530168 38.3975
0.000534431 36.4892
0.00053878 34.4907
0.000543223 32.9975
0.000547788 31.5251
0.000552163 29.9527
0.000556755 28.5003
0.000561463 26.9426
0.000566064 25.8403
0.000570587 24.5818
0.000575277 23.123
0.000580056 22.151
0.000584753 21.2767
0.000589576 20.1092
0.000594327 19.2231
0.000599226 18.1995
0.000604166 17.3053
0.000609275 16.4384
0.000614265 15.696
0.000619191 15.0131
0.000624415 14.1655
0.000629458 13.5095
0.00063466 12.8324
0.00063975 12.2417
0.00064489 11.6525
0.000650271 11.1192
0.000655619 10.5157
0.000661178 9.98897
0.000666601 9.50577
0.00067198 9.01846
0.000677465 8.65832
0.000682952 8.25631
0.000688602 7.77698
0.000694365 7.44825
0.000699968 7.0831
0.00070566 6.6877
0.000711633 6.37235
0.000717351 6.06654
0.000723301 5.75616
0.000729237 5.49484
0.00073526 5.19612
0.000741287 4.95905
0.000747431 4.71174
0.000753573 4.5072
0.000759705 4.28181
0.000765936 4.05341
0.000772341 3.86989
0.000778615 3.67513
0.000785031 3.50001
0.000791493 3.29904
0.000797999 3.15575
0.000804499 2.98927
0.000811074 2.85576
0.000817707 2.70813
0.000824546 2.57046
0.000831271 2.44296
0.000838002 2.31979
0.000844949 2.21038
0.000851929 2.11197
0.000858954 1.99226
0.000865919 1.90363
0.000873072 1.80485
0.000880195 1.71945
0.000887393 1.62432
0.000894783 1.55185
0.000902097 1.46933
0.00090951 1.40083
0.000916929 1.33209
0.000924423 1.26084
0.00093206 1.198
0.000939669 1.13927
0.000947384 1.08484
0.000955222 1.03371
0.000963012 0.982589
0.00097096 0.931838
0.000978975 0.886511
0.000986946 0.835602
0.000995044 0.799341
0.00100317 0.759108
0.00101134 0.723045
0.00101966 0.68942
0.00102811 0.650776
0.0010366 0.617981
0.00104515 0.586884
0.00105367 0.558855
0.0010623 0.526285
0.00107099 0.504925
0.00107984 0.478107
0.00108877 0.455742
0.00109754 0.432795
0.00110658 0.411762
0.00111585 0.389768
0.001125 0.369502
0.00113422 0.351906
0.00114355 0.333239
0.00115284 0.315709
0.0011623 0.301408
0.00117183 0.28592
0.00118147 0.271336
0.00119124 0.258624
0.00120099 0.247252
0.00121082 0.233883
0.00122077 0.221759
0.00123083 0.210438
0.00124092 0.199744
0.00125109 0.188961
0.00126141 0.179441
0.00127177 0.171716
0.00128216 0.162855
0.00129272 0.154443
0.00130337 0.146375
0.00131407 0.139189
0.00132486 0.132205
0.00133574 0.125213
0.00134668 0.119362
0.0013577 0.113119
0.0013688 0.10746
0.00138009 0.102395
0.00139144 0.0963079
0.00140285 0.0918219
0.00141438 0.0874085
0.0014259 0.0830119
0.00143763 0.0787259
0.00144946 0.0752031
0.00146138 0.0712452
0.00147343 0.067293
0.00148553 0.0639068
0.00149773 0.0606399
0.00150998 0.0577835
0.00152238 0.0547619
0.00153493 0.0519539
0.00154754 0.0495212
0.0015602 0.0469251
0.00157297 0.0446233
0.00158593 0.0421516
0.00159901 0.0400131
0.00161212 0.0379482
0.00162533 0.0361387
0.00163867 0.0341189
0.00165213 0.0326041
0.00166568 0.0309122
0.00167936 0.0293085
0.00169314 0.0278169
0.00170706 0.0263712
0.00172108 0.0250743
0.00173519 0.0238104
0.00174947 0.0225557
0.00176388 0.0214333
0.00177833 0.0203598
0.00179289 0.019308
0.00180762 0.0183143
0.0018225 0.0173793
0.00183749 0.0165169
0.00185259 0.0156487
0.00186776 0.0148059
0.00188308 0.0140768
0.00189858 0.0133776
0.00191415 0.0127088
0.00192986 0.0120337
0.00194568 0.0114468
0.00196164 0.010849
0.00197781 0.0103105
0.00199407 0.00977401
0.00201041 0.0092811
0.0020269 0.00882064
0.00204357 0.00834097
0.00206031 0.00793194
0.00207723 0.00751002
0.00209433 0.00714539
0.00211151 0.00676993
0.00212883 0.00641998
0.00214631 0.00609154
0.00216395 0.00578004
0.00218171 0.00549035
0.00219964 0.00521707
0.0022177 0.00494297
0.00223591 0.00468463
0.00225426 0.00444733
0.00227273 0.00421471
0.00229144 0.00400871
0.00231024 0.00381193
0.00232919 0.00360546
0.00234835 0.00342753
0.00236765 0.00325112
0.00238708 0.00307949
0.00240668 0.00292417
0.00242645 0.00277746
0.00244635 0.0026292
0.00246642 0.00249288
0.00248668 0.00237179
0.00250712 0.00224955
0.0025277 0.00213937
0.00254846 0.00202723
0.00256938 0.0019212
0.00259045 0.0018219
0.00261172 0.00173437
0.00263319 0.0016422
0.00265482 0.00155895
0.0026766 0.00147922
0.00269857 0.00140631
0.00272074 0.00133128
0.00274311 0.00126725
0.00276562 0.00120208
0.00278831 0.00114015
0.00281122 0.00108198
0.00283428 0.00102729
0.00285753 0.000972179
0.00288102 0.000926174
0.00290469 0.000880123
0.00292852 0.000834068
0.00295255 0.00079155
0.00297682 0.000749626
0.00300132 0.000711339
0.00302595 0.000677321
0.00305077 0.000641733
0.00307582 0.000607158
0.00310109 0.000577301
0.00312652 0.000547309
0.00315219 0.000518631
0.00317808 0.000492994
0.00320418 0.000465466
0.00323049 0.000442011
0.003257 0.000419838
0.00328375 0.00039806
0.00331073 0.000376898
0.00333793 0.000357122
0.00336532 0.000338924
0.00339295 0.000321898
0.00342081 0.000305097
0.0034489 0.000289053
0.00347724 0.000273819
0.00350579 0.000259804
0.00353457 0.000246621
0.00356356 0.000233915
0.0035928 0.000221307
0.0036223 0.000210119
0.00365206 0.000199592
0.00368208 0.000189154
0.00371232 0.000179335
0.0037428 0.000170411
0.00377353 0.000161669
0.00380451 0.00015322
0.00383574 0.000145445
0.00386724 0.000137915
0.00389899 0.000130961
0.003931 0.000124354
0.0039633 0.00011791
0.00399584 0.000111898
0.00402865 0.000106272
0.00406173 0.000100889
0.00409507 9.59247e-05
0.00412871 9.10218e-05
0.00416262 8.64369e-05
0.0041968 8.21129e-05
0.00423127 7.77852e-05
0.004266 7.40169e-05
0.00430101 7.02831e-05
0.00433633 6.68567e-05
0.00437195 6.34699e-05
0.00440786 6.03556e-05
0.00444405 5.73088e-05
0.00448053 5.44919e-05
0.00451731 5.18511e-05
0.0045544 4.92721e-05
0.00459181 4.68592e-05
0.00462953 4.46057e-05
0.00466752 4.25022e-05
0.00470583 4.04073e-05
0.00474448 3.85133e-05
0.00478347 3.66316e-05
0.00482275 3.49007e-05
0.00486234 3.32727e-05
0.00490225 3.16994e-05
0.0049425 3.02367e-05
0.0049831 2.88709e-05
0.00502401 2.75478e-05
0.00506526 2.63005e-05
0.00510687 2.5094e-05
0.00514879 2.40002e-05
0.00519107 2.29644e-05
0.0052337 2.19673e-05
0.00527667 2.10138e-05
0.00532001 2.01449e-05
0.00536367 1.93163e-05
0.00540771 1.85446e-05
0.00545214 1.77907e-05
0.0054969 1.70956e-05
0.00554203 1.64349e-05
0.00558753 1.58369e-05
0.00563342 1.52763e-05
0.00567967 1.47216e-05
0.00572631 1.42235e-05
0.00577334 1.37594e-05
0.00582073 1.33303e-05
0.00586853 1.29217e-05
0.00591672 1.25411e-05
0.0059653 1.22006e-05
0.00601426 1.188e-05
0.00606365 1.15966e-05
0.00611346 1.13435e-05
0.00616366 1.11012e-05
0.00621427 1.08988e-05
0.00626529 1.06933e-05
0.00631673 1.05337e-05
0.00636859 1.03886e-05
0.00642088 1.02933e-05
0.00647362 1.01893e-05
0.00652677 1.01178e-05
0.00658036 1.00894e-05
0.0066344 1.00702e-05
0.00668886 1.00847e-05
0.00674379 1.0113e-05
0.00679918 1.01752e-05
0.00685501 1.02579e-05
0.00691131 1.03893e-05
0.00696806 1.05011e-05
0.00702526 1.0694e-05
0.00708294 1.08896e-05
0.00714111 1.11376e-05
0.00719973 1.13893e-05
0.00725885 1.17174e-05
0.00731846 1.2083e-05
0.00737856 1.24613e-05
0.00743915 1.28985e-05
0.00750022 1.33957e-05
0.0075618 1.39367e-05
0.0076239 1.45453e-05
0.00768649 1.52165e-05
0.00774961 1.59798e-05
0.00781325 1.68485e-05
0.00787742 1.77293e-05
0.0079421 1.87055e-05
0.0080073 1.98547e-05
0.00807306 2.11642e-05
0.00813935 2.23446e-05
0.00820618 2.40976e-05
0.00827356 2.55242e-05
0.0083415 2.76427e-05
0.00840998 2.94101e-05
0.00847904 3.18626e-05
0.00854867 3.44562e-05
0.00861886 3.69684e-05
0.00868963 3.99097e-05
0.00876099 4.35612e-05
0.00883292 4.71259e-05
0.00890544 5.09658e-05
0.00897858 5.51424e-05
0.00905231 5.93941e-05
0.00912663 6.39119e-05
0.00920156 6.83698e-05
0.00927713 7.28415e-05
0.0093533 7.83555e-05
0.0094301 8.06017e-05
0.00950753 8.19091e-05
0.0095856 8.51088e-05
0.00966431 8.16446e-05
0.00974367 8.0558e-05
0.00982367 7.55072e-05
0.00990433 7.20499e-05
0.00998566 6.48834e-05
0.0100677 6.128e-05
0.0101503 5.5432e-05
0.0102337 4.99349e-05
0.0103177 4.50375e-05
0.0104024 4.09387e-05
0.0104878 3.73014e-05
0.010574 3.4181e-05
0.0106608 3.14933e-05
0.0107483 2.92521e-05
0.0108366 2.75391e-05
0.0109256 2.62264e-05
0.0110152 2.4765e-05
0.0111055 7.87718e-06
0.0111967 2.81573e-06
0.0112886 1.81493e-06
0.0113813 1.51547e-06
0.0114748 1.43395e-06
0.011569 1.44391e-06
0.011664 1.50504e-06
0.0117598 1.60111e-06
0.0118563 1.72906e-06
0.0119537 1.88892e-06
0.0120518 2.07737e-06
0.0121508 2.29789e-06
0.0122505 2.57142e-06
0.0123511 2.87508e-06
0.0124525 3.23668e-06
0.0125548 3.66421e-06
0.0126579 4.14953e-06
0.0127618 4.70733e-06
0.0128666 5.34637e-06
0.0129722 6.07633e-06
0.0130787 6.91353e-06
0.0131861 7.81973e-06
0.0132944 8.86608e-06
0.0134035 9.95132e-06
0.0135136 1.11935e-05
0.0136245 1.2462e-05
0.0137363 1.37926e-05
0.0138491 1.5196e-05
0.0139628 1.66077e-05
0.0140774 1.80258e-05
0.014193 1.96026e-05
0.0143095 2.09991e-05
0.014427 2.24503e-05
0.0145454 2.37275e-05
0.0146648 2.48474e-05
0.0147852 2.57362e-05
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