# k P_nu(k)
# a = 0.0677868
# nbins = 695
1.22718e-05 4.18502e+09
1.7355e-05 1.90177e+09
2.12555e-05 1.08192e+09
2.45437e-05 6.87043e+08
2.74407e-05 4.69251e+08
3.00598e-05 3.37677e+08
3.471e-05 1.95878e+08
3.68155e-05 1.53945e+08
3.8807e-05 1.23544e+08
4.07011e-05 1.02703e+08
4.25109e-05 8.57607e+07
4.42468e-05 7.33316e+07
4.5917e-05 6.25071e+07
4.90874e-05 4.85459e+07
5.05981e-05 4.27793e+07
5.2065e-05 3.84781e+07
5.34917e-05 3.411e+07
5.48814e-05 3.09651e+07
5.62367e-05 2.81985e+07
5.75601e-05 2.59527e+07
6.01195e-05 2.14706e+07
6.13592e-05 1.99211e+07
6.25744e-05 1.83168e+07
6.37664e-05 1.69463e+07
6.60859e-05 1.4661e+07
6.72157e-05 1.36252e+07
6.942e-05 1.20628e+07
7.04964e-05 1.1117e+07
7.15565e-05 1.02359e+07
7.26012e-05 9.76633e+06
7.36311e-05 9.0609e+06
7.46467e-05 8.3757e+06
7.56487e-05 8.04623e+06
7.7614e-05 6.95937e+06
7.85782e-05 6.63585e+06
7.95307e-05 6.17112e+06
8.04719e-05 5.7544e+06
8.14022e-05 5.5081e+06
8.2322e-05 5.15626e+06
8.32317e-05 4.90671e+06
8.50218e-05 4.42543e+06
8.59029e-05 4.16325e+06
8.67751e-05 3.93504e+06
8.76385e-05 3.70864e+06
8.84935e-05 3.65544e+06
8.93404e-05 3.41689e+06
9.01793e-05 3.21115e+06
9.18341e-05 2.94466e+06
9.26504e-05 2.75318e+06
9.34596e-05 2.65052e+06
9.42618e-05 2.50842e+06
9.58462e-05 2.31615e+06
9.66286e-05 2.22134e+06
9.81748e-05 2.06463e+06
9.89388e-05 1.98008e+06
9.9697e-05 1.89291e+06
0.000100947 1.7627e+06
0.000101938 1.70726e+06
0.000102674 1.64611e+06
0.00010413 1.54162e+06
0.000104851 1.48677e+06
0.000105793 1.41756e+06
0.000106983 1.34549e+06
0.000107685 1.31478e+06
0.000108382 1.28802e+06
0.000109763 1.1624e+06
0.000110447 1.17296e+06
0.000111126 1.11249e+06
0.00011207 1.0848e+06
0.000113141 1.02522e+06
0.000113804 1.02319e+06
0.00011512 956693
0.000115772 941249
0.000116605 904079
0.000118768 838786
0.000120655 793006
0.000121732 747794
0.000122718 714275
0.000123466 700333
0.000125149 652876
0.000125749 649021
0.000126644 625918
0.000127941 590246
0.000128708 584600
0.000130739 524767
0.000131943 506712
0.000132953 489542
0.000134431 462921
0.000135328 450987
0.000136101 423185
0.000137477 405866
0.00013884 370177
0.000139516 376789
0.000140611 357126
0.000141939 336541
0.000143463 312489
0.000144385 312899
0.000145548 291363
0.000146631 274618
0.000148112 266231
0.00014952 248433
0.000150299 244159
0.000151832 223785
0.000152783 222056
0.000154045 211503
0.000155658 194947
0.00015665 189856
0.0001579 178573
0.000159354 172017
0.000160279 168977
0.000161626 158806
0.000163463 151764
0.000164644 144793
0.000165783 141644
0.000167197 133575
0.000168799 128696
0.000170423 123769
0.000171157 118597
0.000172744 113617
0.000174349 109352
0.00017592 103121
0.000177497 99227.4
0.000178723 97337.7
0.000180282 92791.9
0.000181376 90275.4
0.000182743 86336.2
0.000184551 82813.5
0.000185977 79866.5
0.000187589 76418.5
0.000188953 72079.6
0.000190863 69716.4
0.000192158 67397.8
0.000193916 64480.7
0.000195504 60507.9
0.000197181 58424.8
0.000198613 55425
0.000200148 52758.3
0.000201721 50446.1
0.000203587 48180
0.00020541 45424.8
0.000207172 42855.8
0.000208922 41407.2
0.000210371 39319.8
0.000212078 37434.9
0.000214191 35381.9
0.000215596 34456.8
0.00021743 32188.7
0.000219259 30600.7
0.000221084 29022.9
0.00022283 27896.3
0.000224493 27089.3
0.000226376 25221.3
0.000228421 24429.9
0.000230288 23606.9
0.000231928 22483.6
0.00023399 21206.6
0.000236053 20295.3
0.000237805 19858.9
0.000239779 18688.3
0.000241744 18211.1
0.000243673 17261
0.000245757 16667.2
0.000247871 15938.8
0.00024984 15346.2
0.000251597 14659.2
0.000253565 13995.4
0.000256 13280.6
0.000258364 12712.6
0.000260499 12180.1
0.000262417 11494.1
0.000264367 11023.3
0.000266592 10422.7
0.000268987 9934.16
0.000271108 9522.66
0.000273349 9006.24
0.000275546 8508.97
0.000277706 8163.37
0.000280204 7699.29
0.000282696 7467.81
0.000284955 7094.72
0.000287036 6694.24
0.000289296 6413.22
0.000291909 6162.97
0.000294404 5900.26
0.000296654 5678.54
0.000299082 5480.62
0.000301403 5182.98
0.000303861 4927.72
0.000306413 4706.75
0.000308749 4483.31
0.000311525 4292.26
0.000313955 4116.05
0.000316471 3936.16
0.000319321 3781.52
0.000322008 3548
0.000324666 3383.7
0.00032719 3212.63
0.000329929 3087.64
0.000332507 2962.84
0.000335216 2828.81
0.000337986 2673.53
0.000340927 2523.88
0.000343668 2399.67
0.000346605 2284.88
0.000349164 2202.55
0.000352165 2067.62
0.000355188 1974.82
0.000358008 1916.09
0.000361098 1808.69
0.000363971 1723.33
0.00036707 1625.7
0.000369977 1576.79
0.000373107 1491.88
0.000376085 1433.19
0.000379074 1360.43
0.000382228 1294.41
0.00038541 1245.74
0.000388542 1185.47
0.000391757 1119.99
0.000394981 1077.68
0.000398111 1009.13
0.000401474 964.017
0.000404717 919.441
0.000407935 881.645
0.000411525 836.561
0.000414686 807.814
0.000418155 768.631
0.00042175 729.813
0.000425291 685.028
0.000428636 655.404
0.000432208 625.64
0.0004357 601.631
0.000439332 571.593
0.000442787 543.358
0.000446449 519.026
0.000450291 491.823
0.000453801 475.233
0.000457447 447.905
0.000461323 427.136
0.000465014 405.462
0.000468866 387.836
0.000472806 366
0.00047678 351.586
0.000480624 331.929
0.000484555 319.934
0.000488474 304.291
0.000492396 288.325
0.000496538 276.585
0.000500678 263.048
0.000504761 250.378
0.000508767 238.064
0.000512959 226.684
0.000517253 216.646
0.000521544 203.913
0.000525774 196.508
0.000530168 185.964
0.000534431 176.815
0.00053878 166.575
0.000543223 159.712
0.000547788 153.004
0.000552163 145.192
0.000556755 138.187
0.000561463 130.322
0.000566064 125.624
0.000570587 119.329
0.000575277 111.69
0.000580056 107.389
0.000584753 103.543
0.000589576 97.6449
0.000594327 93.5858
0.000599226 88.3791
0.000604166 84.0847
0.000609275 79.7841
0.000614265 76.4396
0.000619191 73.2344
0.000624415 68.9425
0.000629458 65.7273
0.00063466 62.4458
0.00063975 59.6162
0.00064489 56.7945
0.000650271 54.2872
0.000655619 51.204
0.000661178 48.6565
0.000666601 46.351
0.00067198 43.8872
0.000677465 42.3163
0.000682952 40.4448
0.000688602 37.9549
0.000694365 36.4415
0.000699968 34.6188
0.00070566 32.6369
0.000711633 31.1668
0.000717351 29.6477
0.000723301 28.1152
0.000729237 26.8984
0.00073526 25.3644
0.000741287 24.276
0.000747431 23.0504
0.000753573 22.1421
0.000759705 21.0143
0.000765936 19.8719
0.000772341 19.0124
0.000778615 18.0345
0.000785031 17.2016
0.000791493 16.1699
0.000797999 15.5039
0.000804499 14.6548
0.000811074 14.0357
0.000817707 13.3125
0.000824546 12.6226
0.000831271 12.0093
0.000838002 11.3838
0.000844949 10.8681
0.000851929 10.3948
0.000858954 9.79643
0.000865919 9.37784
0.000873072 8.88679
0.000880195 8.47834
0.000887393 7.98134
0.000894783 7.6558
0.000902097 7.23711
0.00090951 6.90112
0.000916929 6.57121
0.000924423 6.21463
0.00093206 5.89675
0.000939669 5.62298
0.000947384 5.35932
0.000955222 5.10679
0.000963012 4.85642
0.00097096 4.60433
0.000978975 4.38309
0.000986946 4.11921
0.000995044 3.95642
0.00100317 3.75202
0.00101134 3.57665
0.00101966 3.41439
0.00102811 3.22314
0.0010366 3.05825
0.00104515 2.90642
0.00105367 2.77045
0.0010623 2.60062
0.00107099 2.50357
0.00107984 2.37006
0.00108877 2.26253
0.00109754 2.14716
0.00110658 2.04378
0.00111585 1.93462
0.001125 1.83232
0.00113422 1.74551
0.00114355 1.65478
0.00115284 1.56696
0.0011623 1.4978
0.00117183 1.4196
0.00118147 1.34906
0.00119124 1.2859
0.00120099 1.23234
0.00121082 1.16349
0.00122077 1.10665
0.00123083 1.04883
0.00124092 0.994201
0.00125109 0.939273
0.00126141 0.894631
0.00127177 0.857361
0.00128216 0.813522
0.00129272 0.770622
0.00130337 0.730123
0.00131407 0.694877
0.00132486 0.661378
0.00133574 0.624625
0.00134668 0.595122
0.0013577 0.565092
0.0013688 0.537914
0.00138009 0.512595
0.00139144 0.48102
0.00140285 0.459426
0.00141438 0.437746
0.0014259 0.415833
0.00143763 0.394112
0.00144946 0.377082
0.00146138 0.357129
0.00147343 0.337109
0.00148553 0.32018
0.00149773 0.304049
0.00150998 0.290283
0.00152238 0.275305
0.00153493 0.260504
0.00154754 0.249046
0.0015602 0.235614
0.00157297 0.224667
0.00158593 0.212118
0.00159901 0.20109
0.00161212 0.190491
0.00162533 0.181982
0.00163867 0.171501
0.00165213 0.164093
0.00166568 0.155828
0.00167936 0.147565
0.00169314 0.140004
0.00170706 0.132902
0.00172108 0.126394
0.00173519 0.12006
0.00174947 0.11385
0.00176388 0.108078
0.00177833 0.102689
0.00179289 0.0976031
0.00180762 0.0924107
0.0018225 0.0878143
0.00183749 0.0835274
0.00185259 0.0791252
0.00186776 0.0747616
0.00188308 0.0711667
0.00189858 0.0677119
0.00191415 0.0642726
0.00192986 0.0608285
0.00194568 0.0580171
0.00196164 0.0549488
0.00197781 0.0522013
0.00199407 0.049615
0.00201041 0.0470269
0.0020269 0.0447173
0.00204357 0.0423032
0.00206031 0.0402187
0.00207723 0.0380777
0.00209433 0.036243
0.00211151 0.0343784
0.00212883 0.032637
0.00214631 0.0309299
0.00216395 0.0293694
0.00218171 0.0279199
0.00219964 0.0265237
0.0022177 0.0250669
0.00223591 0.0238358
0.00225426 0.022628
0.00227273 0.021439
0.00229144 0.0204181
0.00231024 0.0193938
0.00232919 0.0183429
0.00234835 0.0174506
0.00236765 0.0165487
0.00238708 0.0157007
0.00240668 0.0148953
0.00242645 0.0141459
0.00244635 0.0133983
0.00246642 0.0127061
0.00248668 0.0120918
0.00250712 0.0114732
0.0025277 0.0108908
0.00254846 0.0103373
0.00256938 0.00980043
0.00259045 0.00929784
0.00261172 0.00884172
0.00263319 0.00838375
0.00265482 0.00795208
0.0026766 0.0075268
0.00269857 0.00717319
0.00272074 0.00678257
0.00274311 0.00646035
0.00276562 0.00612555
0.00278831 0.00581341
0.00281122 0.00551116
0.00283428 0.00523679
0.00285753 0.00495576
0.00288102 0.00471123
0.00290469 0.00447479
0.00292852 0.00424374
0.00295255 0.00402415
0.00297682 0.00381297
0.00300132 0.00361586
0.00302595 0.00344222
0.00305077 0.00325883
0.00307582 0.00308579
0.00310109 0.00293405
0.00312652 0.00277973
0.00315219 0.0026347
0.00317808 0.00250588
0.00320418 0.00236544
0.00323049 0.00224565
0.003257 0.00213065
0.00328375 0.00202323
0.00331073 0.00191659
0.00333793 0.00181463
0.00336532 0.00172053
0.00339295 0.00163448
0.00342081 0.00154788
0.0034489 0.00146809
0.00347724 0.00138907
0.00350579 0.00131847
0.00353457 0.0012509
0.00356356 0.00118574
0.0035928 0.00112154
0.0036223 0.00106391
0.00365206 0.00101063
0.00368208 0.000956549
0.00371232 0.000907414
0.0037428 0.000861304
0.00377353 0.00081509
0.00380451 0.000772669
0.00383574 0.000734376
0.00386724 0.000695204
0.00389899 0.000659183
0.003931 0.000624801
0.0039633 0.000592752
0.00399584 0.000562087
0.00402865 0.000532928
0.00406173 0.000506196
0.00409507 0.000480282
0.00412871 0.000455741
0.00416262 0.000432313
0.0041968 0.000409955
0.00423127 0.000388433
0.004266 0.000368981
0.00430101 0.00034985
0.00433633 0.00033244
0.00437195 0.000315262
0.00440786 0.000299434
0.00444405 0.000283783
0.00448053 0.000269837
0.00451731 0.000255997
0.0045544 0.0002434
0.00459181 0.000231305
0.00462953 0.000219773
0.00466752 0.000209197
0.00470583 0.000198634
0.00474448 0.000189033
0.00478347 0.000179419
0.00482275 0.000170838
0.00486234 0.00016261
0.00490225 0.000154751
0.0049425 0.000147517
0.0049831 0.000140486
0.00502401 0.000134142
0.00506526 0.000127672
0.00510687 0.000121672
0.00514879 0.000116159
0.00519107 0.00011097
0.0052337 0.000106057
0.00527667 0.000101373
0.00532001 9.69814e-05
0.00536367 9.29118e-05
0.00540771 8.9035e-05
0.00545214 8.52521e-05
0.0054969 8.18788e-05
0.00554203 7.86224e-05
0.00558753 7.55413e-05
0.00563342 7.2694e-05
0.00567967 7.0047e-05
0.00572631 6.75224e-05
0.00577334 6.51642e-05
0.00582073 6.2959e-05
0.00586853 6.09229e-05
0.00591672 5.89449e-05
0.0059653 5.72636e-05
0.00601426 5.56064e-05
0.00606365 5.40686e-05
0.00611346 5.26826e-05
0.00616366 5.14323e-05
0.00621427 5.02692e-05
0.00626529 4.92299e-05
0.00631673 4.82431e-05
0.00636859 4.73979e-05
0.00642088 4.66978e-05
0.00647362 4.59989e-05
0.00652677 4.53713e-05
0.00658036 4.50212e-05
0.0066344 4.45612e-05
0.00668886 4.42761e-05
0.00674379 4.40516e-05
0.00679918 4.40104e-05
0.00685501 4.39377e-05
0.00691131 4.40001e-05
0.00696806 4.40584e-05
0.00702526 4.43218e-05
0.00708294 4.46043e-05
0.00714111 4.50611e-05
0.00719973 4.54464e-05
0.00725885 4.6093e-05
0.00731846 4.66986e-05
0.00737856 4.73929e-05
0.00743915 4.82622e-05
0.00750022 4.9179e-05
0.0075618 5.01048e-05
0.0076239 5.13313e-05
0.00768649 5.25316e-05
0.00774961 5.38208e-05
0.00781325 5.53375e-05
0.00787742 5.68644e-05
0.0079421 5.84378e-05
0.0080073 6.01844e-05
0.00807306 6.21905e-05
0.00813935 6.40868e-05
0.00820618 6.62916e-05
0.00827356 6.8385e-05
0.0083415 7.10307e-05
0.00840998 7.32434e-05
0.00847904 7.60982e-05
0.00854867 7.8949e-05
0.00861886 8.13521e-05
0.00868963 8.42878e-05
0.00876099 8.77952e-05
0.00883292 9.10038e-05
0.00890544 9.39566e-05
0.00897858 9.70611e-05
0.00905231 0.000100383
0.00912663 0.000103631
0.00920156 0.000106685
0.00927713 0.000109681
0.0093533 0.000113334
0.0094301 0.000115846
0.00950753 0.000118494
0.0095856 0.000120834
0.00966431 0.000121573
0.00974367 0.000122953
0.00982367 0.0001236
0.00990433 0.00012417
0.00998566 0.000122743
0.0100677 0.000123402
0.0101503 0.000122399
0.0102337 0.000120039
0.0103177 0.000118153
0.0104024 0.000116375
0.0104878 0.000114161
0.010574 0.000111952
0.0106608 0.000109677
0.0107483 0.000107199
0.0108366 0.000104971
0.0109256 0.000102816
0.0110152 9.85073e-05
0.0111055 3.71361e-05
0.0111967 1.48528e-05
0.0112886 9.38563e-06
0.0113813 7.32535e-06
0.0114748 6.43836e-06
0.011569 6.05818e-06
0.011664 5.94805e-06
0.0117598 6.00309e-06
0.0118563 6.17903e-06
0.0119537 6.45608e-06
0.0120518 6.81105e-06
0.0121508 7.25364e-06
0.0122505 7.78101e-06
0.0123511 8.39068e-06
0.0124525 9.1067e-06
0.0125548 9.92718e-06
0.0126579 1.08663e-05
0.0127618 1.19347e-05
0.0128666 1.31422e-05
0.0129722 1.45173e-05
0.0130787 1.61075e-05
0.0131861 1.78626e-05
0.0132944 1.98841e-05
0.0134035 2.21278e-05
0.0135136 2.46929e-05
0.0136245 2.75061e-05
0.0137363 3.06937e-05
0.0138491 3.42225e-05
0.0139628 3.81361e-05
0.0140774 4.23223e-05
0.014193 4.6964e-05
0.0143095 5.16709e-05
0.014427 5.66852e-05
0.0145454 6.13961e-05
0.0146648 6.58535e-05
0.0147852 6.95637e-05
0.0149065 7.1706e-05
0.0150288 7.19035e-05
0.0151522 6.90658e-05
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