# k P_nu(k)
# a = 0.0210063
# nbins = 695
1.22718e-05 7.76086e+07
1.7355e-05 3.03532e+07
2.12555e-05 1.60073e+07
2.45437e-05 9.67523e+06
2.74407e-05 6.36047e+06
3.00598e-05 4.4356e+06
3.471e-05 2.44508e+06
3.68155e-05 1.89559e+06
3.8807e-05 1.50507e+06
4.07011e-05 1.22642e+06
4.25109e-05 1.01359e+06
4.42468e-05 853631
4.5917e-05 724783
4.90874e-05 546823
5.05981e-05 479885
5.2065e-05 426121
5.34917e-05 378535
5.48814e-05 340284
5.62367e-05 307440
5.75601e-05 279675
6.01195e-05 231449
6.13592e-05 212612
6.25744e-05 195137
6.37664e-05 179840
6.60859e-05 153792
6.72157e-05 142531
6.942e-05 123626
7.04964e-05 114629
7.15565e-05 106335
7.26012e-05 99749.5
7.36311e-05 92914.5
7.46467e-05 86459.1
7.56487e-05 81546.8
7.7614e-05 71090.8
7.85782e-05 67005.1
7.95307e-05 62668.5
8.04719e-05 58769.9
8.14022e-05 55502.3
8.2322e-05 52143.6
8.32317e-05 49239.2
8.50218e-05 43985.9
8.59029e-05 41469.8
8.67751e-05 39188.1
8.76385e-05 37024.5
8.84935e-05 35498.3
8.93404e-05 33508.7
9.01793e-05 31691.1
9.18341e-05 28748.5
9.26504e-05 27211.4
9.34596e-05 26011.9
9.42618e-05 24728.2
9.58462e-05 22635.6
9.66286e-05 21672
9.81748e-05 19935.2
9.89388e-05 19136.6
9.9697e-05 18351
0.000100947 17148.3
0.000101938 16385.6
0.000102674 15798
0.00010413 14710.9
0.000104851 14209.7
0.000105793 13577.1
0.000106983 12856.1
0.000107685 12475.4
0.000108382 12132.3
0.000109763 11251.2
0.000110447 11067.9
0.000111126 10665.4
0.00011207 10295.8
0.000113141 9808.02
0.000113804 9614.21
0.00011512 9069.99
0.000115772 8860.57
0.000116605 8548.33
0.000118768 7871.53
0.000120655 7346.23
0.000121732 7006.31
0.000122718 6721.24
0.000123466 6542.5
0.000125149 6116.91
0.000125749 6003.19
0.000126644 5793.3
0.000127941 5487.84
0.000128708 5353.8
0.000130739 4894.46
0.000131943 4681.04
0.000132953 4498.98
0.000134431 4240.99
0.000135328 4101.15
0.000136101 3927.59
0.000137477 3729.55
0.00013884 3481.92
0.000139516 3434.98
0.000140611 3270.98
0.000141939 3088.96
0.000143463 2888.64
0.000144385 2812.65
0.000145548 2659.48
0.000146631 2531.82
0.000148112 2402.78
0.00014952 2259.76
0.000150299 2199.22
0.000151832 2051.42
0.000152783 1994.02
0.000154045 1896.96
0.000155658 1771.94
0.00015665 1712.78
0.0001579 1627.61
0.000159354 1551.58
0.000160279 1507.8
0.000161626 1432.06
0.000163463 1352.05
0.000164644 1297.27
0.000165783 1256.22
0.000167197 1195.27
0.000168799 1142.31
0.000170423 1090.35
0.000171157 1060.14
0.000172744 1012.81
0.000174349 969.73
0.00017592 922.868
0.000177497 884.245
0.000178723 858.596
0.000180282 820.87
0.000181376 797.348
0.000182743 765.918
0.000184551 730.244
0.000185977 702.407
0.000187589 671.614
0.000188953 642.224
0.000190863 611.721
0.000192158 590.126
0.000193916 561.945
0.000195504 533.42
0.000197181 509.61
0.000198613 486.828
0.000200148 464.658
0.000201721 443.531
0.000203587 420.38
0.00020541 397.291
0.000207172 376.347
0.000208922 358.994
0.000210371 343.054
0.000212078 326.324
0.000214191 307.39
0.000215596 296.454
0.00021743 280.261
0.000219259 266.399
0.000221084 253.203
0.00022283 242.225
0.000224493 233.065
0.000226376 220.555
0.000228421 211.023
0.000230288 202.388
0.000231928 194.148
0.00023399 184.36
0.000236053 176.175
0.000237805 170.255
0.000239779 162.076
0.000241744 156.023
0.000243673 149.032
0.000245757 142.86
0.000247871 136.439
0.00024984 130.938
0.000251597 125.601
0.000253565 120.143
0.000256 113.766
0.000258364 108.202
0.000260499 103.202
0.000262417 98.3253
0.000264367 94.1868
0.000266592 89.2952
0.000268987 84.7726
0.000271108 80.8127
0.000273349 76.7157
0.000275546 72.8049
0.000277706 69.5531
0.000280204 65.7511
0.000282696 62.7724
0.000284955 59.7754
0.000287036 57.0083
0.000289296 54.5004
0.000291909 51.9385
0.000294404 49.5093
0.000296654 47.5405
0.000299082 45.5379
0.000301403 43.4386
0.000303861 41.4353
0.000306413 39.5646
0.000308749 37.8457
0.000311525 36.0319
0.000313955 34.5231
0.000316471 32.9472
0.000319321 31.3796
0.000322008 29.7322
0.000324666 28.3351
0.00032719 26.9997
0.000329929 25.7668
0.000332507 24.6018
0.000335216 23.4346
0.000337986 22.2402
0.000340927 21.0593
0.000343668 20.0407
0.000346605 19.0503
0.000349164 18.265
0.000352165 17.2871
0.000355188 16.4626
0.000358008 15.7912
0.000361098 14.9875
0.000363971 14.3044
0.00036707 13.5866
0.000369977 13.0335
0.000373107 12.3814
0.000376085 11.843
0.000379074 11.2846
0.000382228 10.7387
0.00038541 10.2565
0.000388542 9.76947
0.000391757 9.27057
0.000394981 8.85258
0.000398111 8.38752
0.000401474 7.98382
0.000404717 7.60757
0.000407935 7.25814
0.000411525 6.8807
0.000414686 6.59802
0.000418155 6.27452
0.00042175 5.96254
0.000425291 5.64709
0.000428636 5.39181
0.000432208 5.1391
0.0004357 4.91353
0.000439332 4.67202
0.000442787 4.45327
0.000446449 4.24261
0.000450291 4.02661
0.000453801 3.85621
0.000457447 3.65865
0.000461323 3.48176
0.000465014 3.3142
0.000468866 3.15442
0.000472806 2.99442
0.00047678 2.8524
0.000480624 2.70857
0.000484555 2.58897
0.000488474 2.46515
0.000492396 2.34393
0.000496538 2.23517
0.000500678 2.12538
0.000504761 2.02389
0.000508767 1.92745
0.000512959 1.8326
0.000517253 1.74559
0.000521544 1.65462
0.000525774 1.58034
0.000530168 1.50092
0.000534431 1.42709
0.00053878 1.35406
0.000543223 1.29168
0.000547788 1.23024
0.000552163 1.17046
0.000556755 1.11319
0.000561463 1.05523
0.000566064 1.00696
0.000570587 0.959038
0.000575277 0.907698
0.000580056 0.865816
0.000584753 0.827532
0.000589576 0.78462
0.000594327 0.748023
0.000599226 0.710084
0.000604166 0.674987
0.000609275 0.641379
0.000614265 0.610793
0.000619191 0.582751
0.000624415 0.55173
0.000629458 0.525911
0.00063466 0.499604
0.00063975 0.476088
0.00064489 0.453069
0.000650271 0.431307
0.000655619 0.409164
0.000661178 0.388576
0.000666601 0.369462
0.00067198 0.351222
0.000677465 0.335444
0.000682952 0.319325
0.000688602 0.302212
0.000694365 0.288249
0.000699968 0.274291
0.00070566 0.259843
0.000711633 0.247074
0.000717351 0.23523
0.000723301 0.223351
0.000729237 0.212716
0.00073526 0.20176
0.000741287 0.192055
0.000747431 0.182533
0.000753573 0.173881
0.000759705 0.165344
0.000765936 0.156828
0.000772341 0.149316
0.000778615 0.141929
0.000785031 0.134968
0.000791493 0.127739
0.000797999 0.121814
0.000804499 0.115641
0.000811074 0.110158
0.000817707 0.104579
0.000824546 0.099302
0.000831271 0.0943434
0.000838002 0.0897033
0.000844949 0.085308
0.000851929 0.0813035
0.000858954 0.076915
0.000865919 0.0733146
0.000873072 0.0695802
0.000880195 0.0662116
0.000887393 0.0627646
0.000894783 0.0597416
0.000902097 0.0566715
0.00090951 0.0539594
0.000916929 0.051283
0.000924423 0.0486294
0.00093206 0.0462297
0.000939669 0.0439053
0.000947384 0.0417596
0.000955222 0.0397431
0.000963012 0.0377598
0.00097096 0.0358355
0.000978975 0.0340704
0.000986946 0.032258
0.000995044 0.0307232
0.00100317 0.0292044
0.00101134 0.0277816
0.00101966 0.0264387
0.00102811 0.0250171
0.0010366 0.0237657
0.00104515 0.0225623
0.00105367 0.0214581
0.0010623 0.0203045
0.00107099 0.0193768
0.00107984 0.0183763
0.00108877 0.0174819
0.00109754 0.0166112
0.00110658 0.0157914
0.00111585 0.0149615
0.001125 0.0141978
0.00113422 0.0135074
0.00114355 0.0128011
0.00115284 0.0121444
0.0011623 0.0115665
0.00117183 0.0109853
0.00118147 0.0104197
0.00119124 0.00991617
0.00120099 0.0094515
0.00121082 0.00895654
0.00122077 0.00848725
0.00123083 0.00806141
0.00124092 0.00765772
0.00125109 0.00726132
0.00126141 0.00688726
0.00127177 0.0065659
0.00128216 0.0062311
0.00129272 0.00591517
0.00130337 0.00560967
0.00131407 0.00533042
0.00132486 0.00505708
0.00133574 0.00480174
0.00134668 0.00457147
0.0013577 0.00433229
0.0013688 0.00411389
0.00138009 0.00391223
0.00139144 0.00369876
0.00140285 0.00351722
0.00141438 0.00334438
0.0014259 0.00317577
0.00143763 0.00301303
0.00144946 0.00286881
0.00146138 0.00272191
0.00147343 0.00257669
0.00148553 0.00244797
0.00149773 0.00232192
0.00150998 0.00220816
0.00152238 0.00209346
0.00153493 0.0019897
0.00154754 0.0018909
0.0015602 0.00179466
0.00157297 0.00170405
0.00158593 0.0016135
0.00159901 0.00153278
0.00161212 0.00145466
0.00162533 0.00138258
0.00163867 0.00130991
0.00165213 0.00124779
0.00166568 0.00118215
0.00167936 0.00112172
0.00169314 0.0010666
0.00170706 0.00101129
0.00172108 0.000960778
0.00173519 0.000912563
0.00174947 0.000864424
0.00176388 0.000821918
0.00177833 0.000780746
0.00179289 0.000740011
0.00180762 0.000703149
0.0018225 0.000667207
0.00183749 0.000634017
0.00185259 0.000600918
0.00186776 0.000570133
0.00188308 0.000541663
0.00189858 0.000514681
0.00191415 0.000489068
0.00192986 0.000463905
0.00194568 0.000440902
0.00196164 0.000418547
0.00197781 0.000397602
0.00199407 0.000377474
0.00201041 0.000359049
0.0020269 0.000341099
0.00204357 0.000323214
0.00206031 0.00030769
0.00207723 0.000291928
0.00209433 0.00027777
0.00211151 0.000263508
0.00212883 0.000250546
0.00214631 0.000238329
0.00216395 0.000226306
0.00218171 0.000215501
0.00219964 0.000204957
0.0022177 0.000195173
0.00223591 0.000185145
0.00225426 0.000176206
0.00227273 0.000167486
0.00229144 0.00015977
0.00231024 0.000152114
0.00232919 0.000144838
0.00234835 0.000137884
0.00236765 0.000131558
0.00238708 0.000125122
0.00240668 0.000119226
0.00242645 0.00011407
0.00244635 0.000108407
0.00246642 0.000103472
0.00248668 9.91254e-05
0.00250712 9.4422e-05
0.0025277 9.04089e-05
0.00254846 8.64351e-05
0.00256938 8.25504e-05
0.00259045 7.8903e-05
0.00261172 7.59382e-05
0.00263319 7.24238e-05
0.00265482 6.91206e-05
0.0026766 6.62265e-05
0.00269857 6.4006e-05
0.00272074 6.13382e-05
0.00274311 5.86975e-05
0.00276562 5.63491e-05
0.00278831 5.40798e-05
0.00281122 5.18386e-05
0.00283428 5.00992e-05
0.00285753 4.81693e-05
0.00288102 4.64399e-05
0.00290469 4.43487e-05
0.00292852 4.28455e-05
0.00295255 4.10245e-05
0.00297682 3.93151e-05
0.00300132 3.7804e-05
0.00302595 3.6225e-05
0.00305077 3.47073e-05
0.00307582 3.29564e-05
0.00310109 3.1547e-05
0.00312652 3.02433e-05
0.00315219 2.87964e-05
0.00317808 2.74284e-05
0.00320418 2.63775e-05
0.00323049 2.49948e-05
0.003257 2.36803e-05
0.00328375 2.24532e-05
0.00331073 2.12439e-05
0.00333793 2.02818e-05
0.00336532 1.93589e-05
0.00339295 1.82408e-05
0.00342081 1.71823e-05
0.0034489 1.63962e-05
0.00347724 1.5532e-05
0.00350579 1.46173e-05
0.00353457 1.39172e-05
0.00356356 1.31493e-05
0.0035928 1.2336e-05
0.0036223 1.18362e-05
0.00365206 1.1105e-05
0.00368208 1.05465e-05
0.00371232 9.9452e-06
0.0037428 9.38024e-06
0.00377353 8.89116e-06
0.00380451 8.41522e-06
0.00383574 7.93593e-06
0.00386724 7.53652e-06
0.00389899 7.09106e-06
0.003931 6.7569e-06
0.0039633 6.37313e-06
0.00399584 6.0097e-06
0.00402865 5.70655e-06
0.00406173 5.3799e-06
0.00409507 5.09894e-06
0.00412871 4.83966e-06
0.00416262 4.57862e-06
0.0041968 4.32945e-06
0.00423127 4.10245e-06
0.004266 3.88322e-06
0.00430101 3.68706e-06
0.00433633 3.49888e-06
0.00437195 3.31681e-06
0.00440786 3.14842e-06
0.00444405 2.98598e-06
0.00448053 2.83536e-06
0.00451731 2.6946e-06
0.0045544 2.56069e-06
0.00459181 2.43439e-06
0.00462953 2.31825e-06
0.00466752 2.2083e-06
0.00470583 2.10228e-06
0.00474448 2.00765e-06
0.00478347 1.91386e-06
0.00482275 1.82456e-06
0.00486234 1.74466e-06
0.00490225 1.66548e-06
0.0049425 1.59585e-06
0.0049831 1.52428e-06
0.00502401 1.46097e-06
0.00506526 1.40483e-06
0.00510687 1.34448e-06
0.00514879 1.29203e-06
0.00519107 1.24299e-06
0.0052337 1.19616e-06
0.00527667 1.15378e-06
0.00532001 1.11252e-06
0.00536367 1.07363e-06
0.00540771 1.03899e-06
0.00545214 1.00324e-06
0.0054969 9.7446e-07
0.00554203 9.45409e-07
0.00558753 9.16746e-07
0.00563342 8.91887e-07
0.00567967 8.69195e-07
0.00572631 8.47111e-07
0.00577334 8.26163e-07
0.00582073 8.0748e-07
0.00586853 7.88323e-07
0.00591672 7.71634e-07
0.0059653 7.55997e-07
0.00601426 7.41491e-07
0.00606365 7.28084e-07
0.00611346 7.15692e-07
0.00616366 7.03453e-07
0.00621427 6.9229e-07
0.00626529 6.81046e-07
0.00631673 6.69498e-07
0.00636859 6.60096e-07
0.00642088 6.53651e-07
0.00647362 6.42436e-07
0.00652677 6.33048e-07
0.00658036 6.29302e-07
0.0066344 6.1823e-07
0.00668886 6.12707e-07
0.00674379 6.05354e-07
0.00679918 6.0218e-07
0.00685501 5.94817e-07
0.00691131 5.91691e-07
0.00696806 5.86119e-07
0.00702526 5.8492e-07
0.00708294 5.84877e-07
0.00714111 5.83546e-07
0.00719973 5.84915e-07
0.00725885 5.88373e-07
0.00731846 5.94009e-07
0.00737856 6.02052e-07
0.00743915 6.11947e-07
0.00750022 6.24423e-07
0.0075618 6.42987e-07
0.0076239 6.60969e-07
0.00768649 6.84979e-07
0.00774961 7.13789e-07
0.00781325 7.51559e-07
0.00787742 7.93839e-07
0.0079421 8.40793e-07
0.0080073 9.00043e-07
0.00807306 9.70923e-07
0.00813935 1.04665e-06
0.00820618 1.15531e-06
0.00827356 1.26171e-06
0.0083415 1.41637e-06
0.00840998 1.57057e-06
0.00847904 1.7853e-06
0.00854867 2.05139e-06
0.00861886 2.34894e-06
0.00868963 2.72145e-06
0.00876099 3.27775e-06
0.00883292 3.93381e-06
0.00890544 4.82259e-06
0.00897858 6.00196e-06
0.00905231 7.56761e-06
0.00912663 9.76631e-06
0.00920156 1.29553e-05
0.00927713 1.8715e-05
0.0093533 2.79381e-05
0.0094301 3.96332e-05
0.00950753 6.09856e-05
0.0095856 5.37267e-05
0.00966431 2.89273e-05
0.00974367 2.06994e-05
0.00982367 1.30406e-05
0.00990433 9.79451e-06
0.00998566 6.70185e-06
0.0100677 5.2982e-06
0.0101503 4.00049e-06
0.0102337 3.11644e-06
0.0103177 2.49156e-06
0.0104024 2.04803e-06
0.0104878 1.7244e-06
0.010574 1.47969e-06
0.0106608 1.29629e-06
0.0107483 1.15887e-06
0.0108366 1.06276e-06
0.0109256 9.95182e-07
0.0110152 9.364e-07
0.0111055 3.23716e-07
0.0111967 1.19862e-07
0.0112886 8.25114e-08
0.0113813 7.44474e-08
0.0114748 7.51442e-08
0.011569 7.95684e-08
0.011664 8.65432e-08
0.0117598 9.56124e-08
0.0118563 1.07189e-07
0.0119537 1.21917e-07
0.0120518 1.40759e-07
0.0121508 1.64395e-07
0.0122505 1.9718e-07
0.0123511 2.3841e-07
0.0124525 2.95063e-07
0.0125548 3.75886e-07
0.0126579 4.85769e-07
0.0127618 6.43916e-07
0.0128666 8.69033e-07
0.0129722 1.20393e-06
0.0130787 1.7417e-06
0.0131861 2.42798e-06
0.0132944 3.63099e-06
0.0134035 4.70614e-06
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