# k P_nu(k)
# a = 0.419718
# nbins = 695
1.22718e-05 8.53997e+11
1.7355e-05 5.01801e+11
2.12555e-05 3.31378e+11
2.45437e-05 2.30809e+11
2.74407e-05 1.69727e+11
3.00598e-05 1.30296e+11
3.471e-05 8.52879e+10
3.68155e-05 6.7609e+10
3.8807e-05 5.43276e+10
4.07011e-05 4.81572e+10
4.25109e-05 4.06271e+10
4.42468e-05 3.64382e+10
4.5917e-05 3.05691e+10
4.90874e-05 2.63475e+10
5.05981e-05 2.30007e+10
5.2065e-05 2.17594e+10
5.34917e-05 1.84965e+10
5.48814e-05 1.73962e+10
5.62367e-05 1.6223e+10
5.75601e-05 1.56955e+10
6.01195e-05 1.23848e+10
6.13592e-05 1.20536e+10
6.25744e-05 1.09479e+10
6.37664e-05 1.02315e+10
6.60859e-05 9.18908e+09
6.72157e-05 8.55677e+09
6.942e-05 8.3604e+09
7.04964e-05 7.32427e+09
7.15565e-05 6.31952e+09
7.26012e-05 6.65414e+09
7.36311e-05 5.99614e+09
7.46467e-05 5.14735e+09
7.56487e-05 5.51759e+09
7.7614e-05 4.46294e+09
7.85782e-05 4.5356e+09
7.95307e-05 4.03822e+09
8.04719e-05 3.60099e+09
8.14022e-05 3.75118e+09
8.2322e-05 3.34062e+09
8.32317e-05 3.33227e+09
8.50218e-05 3.04285e+09
8.59029e-05 2.91641e+09
8.67751e-05 2.73324e+09
8.76385e-05 2.51626e+09
8.84935e-05 2.93005e+09
8.93404e-05 2.56793e+09
9.01793e-05 2.30755e+09
9.18341e-05 2.24413e+09
9.26504e-05 1.90705e+09
9.34596e-05 1.9524e+09
9.42618e-05 1.76233e+09
9.58462e-05 1.68295e+09
9.66286e-05 1.61537e+09
9.81748e-05 1.56456e+09
9.89388e-05 1.52661e+09
9.9697e-05 1.40922e+09
0.000100947 1.24641e+09
0.000101938 1.35543e+09
0.000102674 1.29094e+09
0.00010413 1.258e+09
0.000104851 1.19201e+09
0.000105793 1.09585e+09
0.000106983 1.03194e+09
0.000107685 1.07944e+09
0.000108382 1.0948e+09
0.000109763 8.53613e+08
0.000110447 9.64949e+08
0.000111126 8.32528e+08
0.00011207 8.70993e+08
0.000113141 7.69056e+08
0.000113804 8.52971e+08
0.00011512 7.4459e+08
0.000115772 7.72583e+08
0.000116605 7.28394e+08
0.000118768 6.88192e+08
0.000120655 6.96998e+08
0.000121732 6.09929e+08
0.000122718 5.83333e+08
0.000123466 5.8078e+08
0.000125149 5.13098e+08
0.000125749 5.65507e+08
0.000126644 5.38415e+08
0.000127941 4.94893e+08
0.000128708 5.4315e+08
0.000130739 4.25012e+08
0.000131943 4.34233e+08
0.000132953 4.43677e+08
0.000134431 4.11052e+08
0.000135328 4.11542e+08
0.000136101 3.41138e+08
0.000137477 3.47843e+08
0.00013884 2.69368e+08
0.000139516 3.40989e+08
0.000140611 3.16883e+08
0.000141939 2.92855e+08
0.000143463 2.55766e+08
0.000144385 2.96464e+08
0.000145548 2.59615e+08
0.000146631 2.27976e+08
0.000148112 2.46966e+08
0.00014952 2.21954e+08
0.000150299 2.22754e+08
0.000151832 1.8999e+08
0.000152783 2.12364e+08
0.000154045 2.04633e+08
0.000155658 1.73931e+08
0.00015665 1.76584e+08
0.0001579 1.56045e+08
0.000159354 1.61037e+08
0.000160279 1.67425e+08
0.000161626 1.4809e+08
0.000163463 1.51256e+08
0.000164644 1.40694e+08
0.000165783 1.37275e+08
0.000167197 1.29863e+08
0.000168799 1.25324e+08
0.000170423 1.28904e+08
0.000171157 1.13237e+08
0.000172744 1.08021e+08
0.000174349 1.0514e+08
0.00017592 9.8499e+07
0.000177497 9.41482e+07
0.000178723 9.71092e+07
0.000180282 9.15036e+07
0.000181376 9.14439e+07
0.000182743 8.28285e+07
0.000184551 8.29849e+07
0.000185977 8.05829e+07
0.000187589 7.65224e+07
0.000188953 6.88219e+07
0.000190863 7.14584e+07
0.000192158 6.94635e+07
0.000193916 6.75508e+07
0.000195504 6.06411e+07
0.000197181 6.2438e+07
0.000198613 5.51504e+07
0.000200148 5.20869e+07
0.000201721 5.02677e+07
0.000203587 5.08042e+07
0.00020541 4.68681e+07
0.000207172 4.39315e+07
0.000208922 4.61011e+07
0.000210371 4.20928e+07
0.000212078 3.98775e+07
0.000214191 3.71667e+07
0.000215596 3.86011e+07
0.00021743 3.29833e+07
0.000219259 3.20437e+07
0.000221084 3.05497e+07
0.00022283 2.88359e+07
0.000224493 2.92873e+07
0.000226376 2.62964e+07
0.000228421 2.62161e+07
0.000230288 2.64951e+07
0.000231928 2.35903e+07
0.00023399 2.27997e+07
0.000236053 2.08369e+07
0.000237805 2.21165e+07
0.000239779 1.97069e+07
0.000241744 2.08221e+07
0.000243673 1.84472e+07
0.000245757 1.86824e+07
0.000247871 1.78052e+07
0.00024984 1.7027e+07
0.000251597 1.65879e+07
0.000253565 1.59197e+07
0.000256 1.54824e+07
0.000258364 1.4586e+07
0.000260499 1.49049e+07
0.000262417 1.36606e+07
0.000264367 1.2703e+07
0.000266592 1.14659e+07
0.000268987 1.06874e+07
0.000271108 1.14223e+07
0.000273349 1.04584e+07
0.000275546 1.00504e+07
0.000277706 9.30531e+06
0.000280204 8.78588e+06
0.000282696 9.19103e+06
0.000284955 9.03437e+06
0.000287036 7.85823e+06
0.000289296 7.65558e+06
0.000291909 7.64522e+06
0.000294404 7.36472e+06
0.000296654 7.18882e+06
0.000299082 7.22327e+06
0.000301403 6.81869e+06
0.000303861 6.15164e+06
0.000306413 5.89724e+06
0.000308749 5.52155e+06
0.000311525 5.44367e+06
0.000313955 5.03582e+06
0.000316471 5.05228e+06
0.000319321 5.05939e+06
0.000322008 4.56733e+06
0.000324666 4.2694e+06
0.00032719 4.10899e+06
0.000329929 3.99111e+06
0.000332507 3.8278e+06
0.000335216 3.86443e+06
0.000337986 3.4757e+06
0.000340927 3.30688e+06
0.000343668 3.24035e+06
0.000346605 3.05156e+06
0.000349164 3.00258e+06
0.000352165 2.78086e+06
0.000355188 2.7138e+06
0.000358008 2.63194e+06
0.000361098 2.40962e+06
0.000363971 2.40807e+06
0.00036707 2.17421e+06
0.000369977 2.16288e+06
0.000373107 2.07954e+06
0.000376085 2.10391e+06
0.000379074 1.96777e+06
0.000382228 1.87928e+06
0.00038541 1.76747e+06
0.000388542 1.69292e+06
0.000391757 1.62875e+06
0.000394981 1.54054e+06
0.000398111 1.43632e+06
0.000401474 1.38718e+06
0.000404717 1.34111e+06
0.000407935 1.29736e+06
0.000411525 1.27768e+06
0.000414686 1.20959e+06
0.000418155 1.15702e+06
0.00042175 1.08845e+06
0.000425291 1.03753e+06
0.000428636 999949
0.000432208 937063
0.0004357 929373
0.000439332 884812
0.000442787 843331
0.000446449 821370
0.000450291 770740
0.000453801 775296
0.000457447 719959
0.000461323 679727
0.000465014 659717
0.000468866 622940
0.000472806 600866
0.00047678 572003
0.000480624 557205
0.000484555 530680
0.000488474 520881
0.000492396 479250
0.000496538 467436
0.000500678 446720
0.000504761 429677
0.000508767 408750
0.000512959 402854
0.000517253 370006
0.000521544 352093
0.000525774 346973
0.000530168 331732
0.000534431 313231
0.00053878 308212
0.000543223 290772
0.000547788 282387
0.000552163 269173
0.000556755 244752
0.000561463 245014
0.000566064 229892
0.000570587 219634
0.000575277 211708
0.000580056 205570
0.000584753 199492
0.000589576 191228
0.000594327 181945
0.000599226 177732
0.000604166 167358
0.000609275 157042
0.000614265 154029
0.000619191 145699
0.000624415 141315
0.000629458 133305
0.00063466 130084
0.00063975 124773
0.00064489 117793
0.000650271 114334
0.000655619 109214
0.000661178 102933
0.000666601 97923
0.00067198 93216.7
0.000677465 91756.7
0.000682952 86784.8
0.000688602 84118
0.000694365 79704.9
0.000699968 77656.8
0.00070566 74494.4
0.000711633 72498.4
0.000717351 67562.3
0.000723301 65075.8
0.000729237 62073
0.00073526 59837.8
0.000741287 58065.9
0.000747431 55435.2
0.000753573 53002
0.000759705 50768.2
0.000765936 48546.6
0.000772341 47074.8
0.000778615 44637.2
0.000785031 41965.4
0.000791493 40992.3
0.000797999 39094.4
0.000804499 36950.1
0.000811074 36283.4
0.000817707 34057.7
0.000824546 32998.3
0.000831271 31859.8
0.000838002 30648.8
0.000844949 29362.6
0.000851929 28003
0.000858954 26881.4
0.000865919 25735.3
0.000873072 24452.6
0.000880195 23551.3
0.000887393 22247.4
0.000894783 21455.7
0.000902097 20628.3
0.00090951 19815.4
0.000916929 19003.7
0.000924423 18345.2
0.00093206 17716
0.000939669 16976.7
0.000947384 16250.2
0.000955222 15547.2
0.000963012 14821.7
0.00097096 14228.3
0.000978975 13734.7
0.000986946 13119
0.000995044 12597.7
0.00100317 12069.2
0.00101134 11612.9
0.00101966 11093.8
0.00102811 10722.6
0.0010366 10107.7
0.00104515 9816.02
0.00105367 9440.76
0.0010623 8986.62
0.00107099 8575.22
0.00107984 8267.8
0.00108877 7935.14
0.00109754 7637.51
0.00110658 7367
0.00111585 6939.28
0.001125 6733.17
0.00113422 6464.77
0.00114355 6271.44
0.00115284 5933.74
0.0011623 5694.56
0.00117183 5411.96
0.00118147 5224.41
0.00119124 4997.23
0.00120099 4818.27
0.00121082 4624.14
0.00122077 4466.19
0.00123083 4265.94
0.00124092 4081.6
0.00125109 3939.82
0.00126141 3753.76
0.00127177 3608.7
0.00128216 3452.7
0.00129272 3342.01
0.00130337 3168.95
0.00131407 3061.76
0.00132486 2936.28
0.00133574 2808.21
0.00134668 2690.54
0.0013577 2595.01
0.0013688 2490.16
0.00138009 2372.48
0.00139144 2304.56
0.00140285 2194.33
0.00141438 2113.74
0.0014259 2034.42
0.00143763 1950.33
0.00144946 1854
0.00146138 1796.28
0.00147343 1713.78
0.00148553 1642.01
0.00149773 1577.29
0.00150998 1515.57
0.00152238 1459.63
0.00153493 1398.9
0.00154754 1342.53
0.0015602 1284.99
0.00157297 1232.64
0.00158593 1182.45
0.00159901 1131.71
0.00161212 1088.71
0.00162533 1045.09
0.00163867 998.717
0.00165213 966.546
0.00166568 921.085
0.00167936 887.327
0.00169314 853.35
0.00170706 813.384
0.00172108 783.348
0.00173519 754.562
0.00174947 723.725
0.00176388 694.197
0.00177833 667.17
0.00179289 641.133
0.00180762 614.127
0.0018225 584.485
0.00183749 565.168
0.00185259 541.759
0.00186776 520.663
0.00188308 497.72
0.00189858 478.231
0.00191415 458.782
0.00192986 441.305
0.00194568 422.006
0.00196164 403.071
0.00197781 388.54
0.00199407 372.306
0.00201041 356.692
0.0020269 342.612
0.00204357 328.371
0.00206031 316.225
0.00207723 302.584
0.00209433 290.664
0.00211151 278.189
0.00212883 267.611
0.00214631 256.051
0.00216395 246.338
0.00218171 235.97
0.00219964 226.714
0.0022177 216.897
0.00223591 208.581
0.00225426 199.866
0.00227273 191.555
0.00229144 183.825
0.00231024 176.32
0.00232919 168.899
0.00234835 161.843
0.00236765 155.624
0.00238708 149.33
0.00240668 142.72
0.00242645 137.356
0.00244635 131.83
0.00246642 126.54
0.00248668 120.837
0.00250712 115.663
0.0025277 111.22
0.00254846 106.327
0.00256938 101.975
0.00259045 97.8233
0.00261172 93.9587
0.00263319 89.7221
0.00265482 86.1697
0.0026766 82.6026
0.00269857 79.0907
0.00272074 75.6292
0.00274311 72.5713
0.00276562 69.6564
0.00278831 66.7018
0.00281122 63.9071
0.00283428 61.2691
0.00285753 58.6616
0.00288102 56.2803
0.00290469 53.8247
0.00292852 51.6551
0.00295255 49.4881
0.00297682 47.26
0.00300132 45.3516
0.00302595 43.532
0.00305077 41.6147
0.00307582 39.9409
0.00310109 38.1429
0.00312652 36.5858
0.00315219 35.026
0.00317808 33.5348
0.00320418 32.1382
0.00323049 30.7699
0.003257 29.4124
0.00328375 28.1569
0.00331073 26.9708
0.00333793 25.8344
0.00336532 24.6435
0.00339295 23.6494
0.00342081 22.6266
0.0034489 21.6423
0.00347724 20.7003
0.00350579 19.7982
0.00353457 18.975
0.00356356 18.1532
0.0035928 17.3936
0.0036223 16.6035
0.00365206 15.9153
0.00368208 15.2234
0.00371232 14.5491
0.0037428 13.9487
0.00377353 13.3122
0.00380451 12.7454
0.00383574 12.1807
0.00386724 11.6533
0.00389899 11.1369
0.003931 10.6549
0.0039633 10.1975
0.00399584 9.75019
0.00402865 9.3177
0.00406173 8.91601
0.00409507 8.51505
0.00412871 8.14075
0.00416262 7.78027
0.0041968 7.43739
0.00423127 7.11763
0.004266 6.79618
0.00430101 6.48733
0.00433633 6.21465
0.00437195 5.92881
0.00440786 5.66884
0.00444405 5.41929
0.00448053 5.17394
0.00451731 4.94482
0.0045544 4.72695
0.00459181 4.50981
0.00462953 4.31495
0.00466752 4.11947
0.00470583 3.93683
0.00474448 3.75967
0.00478347 3.59252
0.00482275 3.42679
0.00486234 3.27376
0.00490225 3.12568
0.0049425 2.98619
0.0049831 2.84903
0.00502401 2.72247
0.00506526 2.59843
0.00510687 2.48353
0.00514879 2.36985
0.00519107 2.26101
0.0052337 2.15858
0.00527667 2.06058
0.00532001 1.96925
0.00536367 1.87928
0.00540771 1.79385
0.00545214 1.71315
0.0054969 1.63397
0.00554203 1.55894
0.00558753 1.48871
0.00563342 1.421
0.00567967 1.35585
0.00572631 1.29419
0.00577334 1.23444
0.00582073 1.17699
0.00586853 1.12417
0.00591672 1.07211
0.0059653 1.02347
0.00601426 0.976973
0.00606365 0.931776
0.00611346 0.889438
0.00616366 0.848244
0.00621427 0.809289
0.00626529 0.772061
0.00631673 0.736812
0.00636859 0.702708
0.00642088 0.670039
0.00647362 0.639564
0.00652677 0.609994
0.00658036 0.58165
0.0066344 0.554884
0.00668886 0.528989
0.00674379 0.504598
0.00679918 0.48112
0.00685501 0.458821
0.00691131 0.437572
0.00696806 0.417494
0.00702526 0.398327
0.00708294 0.379788
0.00714111 0.362131
0.00719973 0.345457
0.00725885 0.329619
0.00731846 0.314173
0.00737856 0.299701
0.00743915 0.285793
0.00750022 0.272494
0.0075618 0.25995
0.0076239 0.247781
0.00768649 0.236438
0.00774961 0.225446
0.00781325 0.215025
0.00787742 0.205071
0.0079421 0.195679
0.0080073 0.186663
0.00807306 0.178043
0.00813935 0.169816
0.00820618 0.162049
0.00827356 0.15458
0.0083415 0.147484
0.00840998 0.140761
0.00847904 0.134278
0.00854867 0.128253
0.00861886 0.122359
0.00868963 0.116783
0.00876099 0.111623
0.00883292 0.106564
0.00890544 0.101716
0.00897858 0.0971844
0.00905231 0.0928625
0.00912663 0.0887071
0.00920156 0.084771
0.00927713 0.0810337
0.0093533 0.0774987
0.0094301 0.0741251
0.00950753 0.0709542
0.0095856 0.0678898
0.00966431 0.0649992
0.00974367 0.0622673
0.00982367 0.0596686
0.00990433 0.0571948
0.00998566 0.0548578
0.0100677 0.0526684
0.0101503 0.0505463
0.0102337 0.0486063
0.0103177 0.0467128
0.0104024 0.0449484
0.0104878 0.0433114
0.010574 0.0417486
0.0106608 0.040287
0.0107483 0.0388976
0.0108366 0.0376145
0.0109256 0.036408
0.0110152 0.0352812
0.0111055 0.0339265
0.0111967 0.0324381
0.0112886 0.031047
0.0113813 0.0297072
0.0114748 0.028437
0.011569 0.0272217
0.011664 0.0260707
0.0117598 0.0249897
0.0118563 0.0239467
0.0119537 0.022951
0.0120518 0.0220084
0.0121508 0.0211133
0.0122505 0.0202619
0.0123511 0.0194465
0.0124525 0.0186761
0.0125548 0.0179488
0.0126579 0.0172554
0.0127618 0.016598
0.0128666 0.0159734
0.0129722 0.0153803
0.0130787 0.0148255
0.0131861 0.014294
0.0132944 0.0137884
0.0134035 0.0133201
0.0135136 0.0128714
0.0136245 0.0124509
0.0137363 0.0120544
0.0138491 0.0116817
0.0139628 0.0113343
0.0140774 0.0110086
0.014193 0.0107002
0.0143095 0.0104229
0.014427 0.0101602
0.0145454 0.00991256
0.0146648 0.00967398
0.0147852 0.00945841
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