# k P_nu(k)
# a = 0.0322584
# nbins = 695
1.22718e-05 3.58003e+08
1.7355e-05 1.47529e+08
2.12555e-05 7.95388e+07
2.45437e-05 4.87696e+07
2.74407e-05 3.24398e+07
3.00598e-05 2.28454e+07
3.471e-05 1.27948e+07
3.68155e-05 9.96671e+06
3.8807e-05 7.94376e+06
4.07011e-05 6.51249e+06
4.25109e-05 5.4017e+06
4.42468e-05 4.5706e+06
4.5917e-05 3.8876e+06
4.90874e-05 2.95865e+06
5.05981e-05 2.60091e+06
5.2065e-05 2.31829e+06
5.34917e-05 2.0595e+06
5.48814e-05 1.85689e+06
5.62367e-05 1.68183e+06
5.75601e-05 1.53513e+06
6.01195e-05 1.27142e+06
6.13592e-05 1.17129e+06
6.25744e-05 1.07593e+06
6.37664e-05 992898
6.60859e-05 852100
6.72157e-05 790510
6.942e-05 689549
7.04964e-05 638580
7.15565e-05 591453
7.26012e-05 557287
7.36311e-05 518708
7.46467e-05 482030
7.56487e-05 456817
7.7614e-05 397624
7.85782e-05 375927
7.95307e-05 351166
8.04719e-05 328928
8.14022e-05 311722
8.2322e-05 292669
8.32317e-05 276937
8.50218e-05 248091
8.59029e-05 233778
8.67751e-05 220962
8.76385e-05 208668
8.84935e-05 201470
8.93404e-05 189742
9.01793e-05 179193
9.18341e-05 163030
9.26504e-05 153875
9.34596e-05 147358
9.42618e-05 139950
9.58462e-05 128417
9.66286e-05 123019
9.81748e-05 113476
9.89388e-05 108911
9.9697e-05 104376
0.000100947 97473.1
0.000101938 93450.2
0.000102674 90112.7
0.00010413 84040.6
0.000104851 81156.6
0.000105793 77516.4
0.000106983 73457.8
0.000107685 71402.8
0.000108382 69573
0.000109763 64089.4
0.000110447 63460.1
0.000111126 60916.3
0.00011207 58955
0.000113141 56061.3
0.000113804 55200.5
0.00011512 51969.2
0.000115772 50860.4
0.000116605 49016.6
0.000118768 45233.2
0.000120655 42357.6
0.000121732 40289.6
0.000122718 38609
0.000123466 37654.4
0.000125149 35188.6
0.000125749 34641.9
0.000126644 33429.6
0.000127941 31634.3
0.000128708 30976.1
0.000130739 28198.4
0.000131943 27035.3
0.000132953 26016.3
0.000134431 24550.9
0.000135328 23786.8
0.000136101 22666.1
0.000137477 21578.9
0.00013884 20033.8
0.000139516 19915.6
0.000140611 18943.5
0.000141939 17882.1
0.000143463 16695.7
0.000144385 16370.8
0.000145548 15419.8
0.000146631 14646.1
0.000148112 13973.9
0.00014952 13117.7
0.000150299 12799.3
0.000151832 11887.2
0.000152783 11613.6
0.000154045 11052.2
0.000155658 10290.8
0.00015665 9966.51
0.0001579 9447.66
0.000159354 9030.12
0.000160279 8799.25
0.000161626 8336.03
0.000163463 7894.37
0.000164644 7564.45
0.000165783 7345.22
0.000167197 6972.65
0.000168799 6678.75
0.000170423 6386.62
0.000171157 6187.54
0.000172744 5916.07
0.000174349 5672.73
0.00017592 5385.58
0.000177497 5166.6
0.000178723 5029.78
0.000180282 4805.69
0.000181376 4669.28
0.000182743 4481.24
0.000184551 4279
0.000185977 4118.9
0.000187589 3939.32
0.000188953 3754.41
0.000190863 3589.71
0.000192158 3465.01
0.000193916 3303.72
0.000195504 3127.11
0.000197181 2995.38
0.000198613 2857.07
0.000200148 2725.38
0.000201721 2602.56
0.000203587 2471.3
0.00020541 2334.25
0.000207172 2209.17
0.000208922 2113.99
0.000210371 2017.27
0.000212078 1919.21
0.000214191 1809.6
0.000215596 1749.4
0.00021743 1649.37
0.000219259 1567.87
0.000221084 1489.29
0.00022283 1426.59
0.000224493 1375.82
0.000226376 1296.68
0.000228421 1244.59
0.000230288 1195.85
0.000231928 1145.36
0.00023399 1085.57
0.000236053 1038.08
0.000237805 1006.21
0.000239779 955.15
0.000241744 922.254
0.000243673 879.295
0.000245757 844.451
0.000247871 806.81
0.00024984 775.03
0.000251597 742.573
0.000253565 709.944
0.000256 672.67
0.000258364 640.905
0.000260499 611.857
0.000262417 581.628
0.000264367 557.415
0.000266592 528.135
0.000268987 501.998
0.000271108 479.031
0.000273349 454.4
0.000275546 430.731
0.000277706 411.999
0.000280204 389.239
0.000282696 373.065
0.000284955 354.976
0.000287036 337.765
0.000289296 323.076
0.000291909 308.524
0.000294404 294.367
0.000296654 282.894
0.000299082 271.432
0.000301403 258.373
0.000303861 246.302
0.000306413 235.2
0.000308749 224.761
0.000311525 214.264
0.000313955 205.393
0.000316471 196.06
0.000319321 187.127
0.000322008 176.88
0.000324666 168.628
0.00032719 160.556
0.000329929 153.516
0.000332507 146.747
0.000335216 139.852
0.000337986 132.604
0.000340927 125.462
0.000343668 119.357
0.000346605 113.519
0.000349164 108.972
0.000352165 102.928
0.000355188 98.1008
0.000358008 94.3696
0.000361098 89.4502
0.000363971 85.3387
0.00036707 80.9381
0.000369977 77.844
0.000373107 73.8778
0.000376085 70.7329
0.000379074 67.3361
0.000382228 64.0759
0.00038541 61.3213
0.000388542 58.399
0.000391757 55.3469
0.000394981 52.9621
0.000398111 50.0327
0.000401474 47.6635
0.000404717 45.4349
0.000407935 43.3938
0.000411525 41.1379
0.000414686 39.5247
0.000418155 37.5882
0.00042175 35.7225
0.000425291 33.753
0.000428636 32.2403
0.000432208 30.7457
0.0004357 29.4438
0.000439332 27.9866
0.000442787 26.659
0.000446449 25.4144
0.000450291 24.1119
0.000453801 23.1408
0.000457447 21.9148
0.000461323 20.8719
0.000465014 19.8549
0.000468866 18.9176
0.000472806 17.9375
0.00047678 17.1167
0.000480624 16.2288
0.000484555 15.547
0.000488474 14.8004
0.000492396 14.0595
0.000496538 13.4263
0.000500678 12.7679
0.000504761 12.1577
0.000508767 11.5734
0.000512959 11.0042
0.000517253 10.493
0.000521544 9.92872
0.000525774 9.50271
0.000530168 9.01974
0.000534431 8.57246
0.00053878 8.12019
0.000543223 7.75688
0.000547788 7.39802
0.000552163 7.03443
0.000556755 6.69162
0.000561463 6.33544
0.000566064 6.05855
0.000570587 5.76798
0.000575277 5.44396
0.000580056 5.20276
0.000584753 4.98416
0.000589576 4.71856
0.000594327 4.50386
0.000599226 4.27051
0.000604166 4.05972
0.000609275 3.85752
0.000614265 3.67736
0.000619191 3.5127
0.000624415 3.32045
0.000629458 3.16618
0.00063466 3.00767
0.00063975 2.86743
0.00064489 2.7289
0.000650271 2.6005
0.000655619 2.46377
0.000661178 2.34
0.000666601 2.22562
0.00067198 2.11403
0.000677465 2.02385
0.000682952 1.92784
0.000688602 1.8205
0.000694365 1.73988
0.000699968 1.65532
0.00070566 1.56549
0.000711633 1.4899
0.000717351 1.41852
0.000723301 1.3466
0.000729237 1.28374
0.00073526 1.21602
0.000741287 1.15878
0.000747431 1.10119
0.000753573 1.05082
0.000759705 0.998928
0.000765936 0.946559
0.000772341 0.902378
0.000778615 0.857415
0.000785031 0.815821
0.000791493 0.770651
0.000797999 0.73594
0.000804499 0.698052
0.000811074 0.665788
0.000817707 0.631685
0.000824546 0.599708
0.000831271 0.569807
0.000838002 0.541553
0.000844949 0.515415
0.000851929 0.491883
0.000858954 0.464623
0.000865919 0.443355
0.000873072 0.420558
0.000880195 0.400434
0.000887393 0.379026
0.000894783 0.361272
0.000902097 0.342445
0.00090951 0.326293
0.000916929 0.310169
0.000924423 0.293834
0.00093206 0.279308
0.000939669 0.265386
0.000947384 0.252516
0.000955222 0.240486
0.000963012 0.228528
0.00097096 0.216838
0.000978975 0.206182
0.000986946 0.194823
0.000995044 0.185897
0.00100317 0.176655
0.00101134 0.168144
0.00101966 0.160163
0.00102811 0.151346
0.0010366 0.143759
0.00104515 0.136486
0.00105367 0.129875
0.0010623 0.122622
0.00107099 0.11732
0.00107984 0.111173
0.00108877 0.10586
0.00109754 0.100552
0.00110658 0.0956298
0.00111585 0.090564
0.001125 0.085902
0.00113422 0.0817739
0.00114355 0.0774527
0.00115284 0.0734135
0.0011623 0.0700014
0.00117183 0.0664579
0.00118147 0.0630443
0.00119124 0.0600366
0.00120099 0.0573052
0.00121082 0.0542717
0.00122077 0.0514178
0.00123083 0.0488226
0.00124092 0.0463736
0.00125109 0.0439225
0.00126141 0.041653
0.00127177 0.039804
0.00128216 0.037752
0.00129272 0.0358223
0.00130337 0.0339625
0.00131407 0.0322845
0.00132486 0.0306267
0.00133574 0.0290612
0.00134668 0.0276924
0.0013577 0.0262336
0.0013688 0.0249066
0.00138009 0.0237082
0.00139144 0.022367
0.00140285 0.0212934
0.00141438 0.0202517
0.0014259 0.0192357
0.00143763 0.018249
0.00144946 0.0173997
0.00146138 0.0164969
0.00147343 0.0155992
0.00148553 0.0148138
0.00149773 0.0140532
0.00150998 0.0133753
0.00152238 0.0126774
0.00153493 0.0120437
0.00154754 0.0114577
0.0015602 0.0108681
0.00157297 0.0103221
0.00158593 0.00976125
0.00159901 0.00927011
0.00161212 0.008797
0.00162533 0.00836883
0.00163867 0.00791305
0.00165213 0.00754893
0.00166568 0.00715519
0.00167936 0.00678371
0.00169314 0.00644621
0.00170706 0.00611217
0.00172108 0.00580805
0.00173519 0.00551541
0.00174947 0.00522192
0.00176388 0.00496531
0.00177833 0.00471666
0.00179289 0.00447078
0.00180762 0.0042436
0.0018225 0.00402677
0.00183749 0.00382475
0.00185259 0.00362569
0.00186776 0.00343495
0.00188308 0.0032649
0.00189858 0.0031011
0.00191415 0.00294546
0.00192986 0.00279215
0.00194568 0.00265316
0.00196164 0.00251737
0.00197781 0.00239036
0.00199407 0.00226749
0.00201041 0.0021544
0.0020269 0.00204753
0.00204357 0.00193645
0.00206031 0.00184331
0.00207723 0.00174621
0.00209433 0.00166045
0.00211151 0.00157328
0.00212883 0.00149262
0.00214631 0.00141845
0.00216395 0.00134494
0.00218171 0.00127796
0.00219964 0.00121481
0.0022177 0.00115359
0.00223591 0.00109281
0.00225426 0.00103757
0.00227273 0.000983934
0.00229144 0.000936608
0.00231024 0.000890426
0.00232919 0.000843945
0.00234835 0.00080175
0.00236765 0.000761823
0.00238708 0.000721564
0.00240668 0.000685895
0.00242645 0.000652491
0.00244635 0.000617754
0.00246642 0.000586227
0.00248668 0.000558254
0.00250712 0.000529839
0.0025277 0.000504842
0.00254846 0.000478908
0.00256938 0.000454077
0.00259045 0.000431213
0.00261172 0.000410905
0.00263319 0.000389645
0.00265482 0.000369832
0.0026766 0.000352211
0.00269857 0.000335324
0.00272074 0.000318249
0.00274311 0.000302606
0.00276562 0.00028759
0.00278831 0.000273457
0.00281122 0.000259761
0.00283428 0.000247108
0.00285753 0.000234413
0.00288102 0.000223864
0.00290469 0.000212808
0.00292852 0.000202036
0.00295255 0.000192265
0.00297682 0.000182434
0.00300132 0.000173616
0.00302595 0.000165468
0.00305077 0.000156893
0.00307582 0.000148938
0.00310109 0.000141793
0.00312652 0.000134801
0.00315219 0.000127841
0.00317808 0.000121615
0.00320418 0.000115332
0.00323049 0.000109682
0.003257 0.000104352
0.00328375 9.89781e-05
0.00331073 9.39891e-05
0.00333793 8.92652e-05
0.00336532 8.48726e-05
0.00339295 8.07083e-05
0.00342081 7.66912e-05
0.0034489 7.27156e-05
0.00347724 6.91469e-05
0.00350579 6.56723e-05
0.00353457 6.24825e-05
0.00356356 5.94233e-05
0.0035928 5.63076e-05
0.0036223 5.36065e-05
0.00365206 5.09663e-05
0.00368208 4.83903e-05
0.00371232 4.59523e-05
0.0037428 4.37038e-05
0.00377353 4.15886e-05
0.00380451 3.9472e-05
0.00383574 3.75057e-05
0.00386724 3.56358e-05
0.00389899 3.38652e-05
0.003931 3.22268e-05
0.0039633 3.05776e-05
0.00399584 2.90417e-05
0.00402865 2.76544e-05
0.00406173 2.63106e-05
0.00409507 2.50013e-05
0.00412871 2.37501e-05
0.00416262 2.25974e-05
0.0041968 2.1472e-05
0.00423127 2.03683e-05
0.004266 1.9388e-05
0.00430101 1.84483e-05
0.00433633 1.75648e-05
0.00437195 1.66781e-05
0.00440786 1.58596e-05
0.00444405 1.50894e-05
0.00448053 1.43505e-05
0.00451731 1.36623e-05
0.0045544 1.2987e-05
0.00459181 1.23683e-05
0.00462953 1.17898e-05
0.00466752 1.12354e-05
0.00470583 1.0676e-05
0.00474448 1.01767e-05
0.00478347 9.69142e-06
0.00482275 9.24256e-06
0.00486234 8.80933e-06
0.00490225 8.39026e-06
0.0049425 8.02224e-06
0.0049831 7.64844e-06
0.00502401 7.30033e-06
0.00506526 6.97212e-06
0.00510687 6.66157e-06
0.00514879 6.37243e-06
0.00519107 6.09054e-06
0.0052337 5.82928e-06
0.00527667 5.58199e-06
0.00532001 5.34246e-06
0.00536367 5.12771e-06
0.00540771 4.9177e-06
0.00545214 4.71978e-06
0.0054969 4.53228e-06
0.00554203 4.36079e-06
0.00558753 4.19591e-06
0.00563342 4.04389e-06
0.00567967 3.8972e-06
0.00572631 3.76546e-06
0.00577334 3.63855e-06
0.00582073 3.51737e-06
0.00586853 3.4041e-06
0.00591672 3.30306e-06
0.0059653 3.20678e-06
0.00601426 3.11622e-06
0.00606365 3.03681e-06
0.00611346 2.96573e-06
0.00616366 2.89427e-06
0.00621427 2.83251e-06
0.00626529 2.77945e-06
0.00631673 2.72618e-06
0.00636859 2.68183e-06
0.00642088 2.65036e-06
0.00647362 2.61358e-06
0.00652677 2.58814e-06
0.00658036 2.57318e-06
0.0066344 2.55642e-06
0.00668886 2.55034e-06
0.00674379 2.5496e-06
0.00679918 2.55663e-06
0.00685501 2.56737e-06
0.00691131 2.59067e-06
0.00696806 2.61587e-06
0.00702526 2.65305e-06
0.00708294 2.6975e-06
0.00714111 2.75236e-06
0.00719973 2.81527e-06
0.00725885 2.89045e-06
0.00731846 2.97977e-06
0.00737856 3.07605e-06
0.00743915 3.19121e-06
0.00750022 3.32288e-06
0.0075618 3.47174e-06
0.0076239 3.6438e-06
0.00768649 3.82735e-06
0.00774961 4.05376e-06
0.00781325 4.31958e-06
0.00787742 4.59037e-06
0.0079421 4.906e-06
0.0080073 5.27116e-06
0.00807306 5.72374e-06
0.00813935 6.15564e-06
0.00820618 6.78062e-06
0.00827356 7.3549e-06
0.0083415 8.19363e-06
0.00840998 8.97196e-06
0.00847904 1.00586e-05
0.00854867 1.13093e-05
0.00861886 1.26457e-05
0.00868963 1.42466e-05
0.00876099 1.65227e-05
0.00883292 1.88943e-05
0.00890544 2.18134e-05
0.00897858 2.54816e-05
0.00905231 2.95206e-05
0.00912663 3.45745e-05
0.00920156 4.02958e-05
0.00927713 4.82719e-05
0.0093533 5.80506e-05
0.0094301 6.33574e-05
0.00950753 6.61125e-05
0.0095856 7.17777e-05
0.00966431 5.92452e-05
0.00974367 5.33291e-05
0.00982367 4.24396e-05
0.00990433 3.65492e-05
0.00998566 2.86214e-05
0.0100677 2.46023e-05
0.0101503 2.00838e-05
0.0102337 1.65206e-05
0.0103177 1.38642e-05
0.0104024 1.18127e-05
0.0104878 1.01896e-05
0.010574 8.92099e-06
0.0106608 7.91689e-06
0.0107483 7.1525e-06
0.0108366 6.59201e-06
0.0109256 6.21027e-06
0.0110152 5.82218e-06
0.0111055 1.87303e-06
0.0111967 6.60553e-07
0.0112886 4.36492e-07
0.0113813 3.81302e-07
0.0114748 3.77372e-07
0.011569 3.95202e-07
0.011664 4.2666e-07
0.0117598 4.70135e-07
0.0118563 5.25557e-07
0.0119537 5.96122e-07
0.0120518 6.81874e-07
0.0121508 7.86452e-07
0.0122505 9.23567e-07
0.0123511 1.0859e-06
0.0124525 1.2902e-06
0.0125548 1.54959e-06
0.0126579 1.86853e-06
0.0127618 2.26002e-06
0.0128666 2.74363e-06
0.0129722 3.33265e-06
0.0130787 4.0807e-06
0.0131861 4.82566e-06
0.0132944 5.78779e-06
0.0134035 6.5781e-06
0.0135136 7.5134e-06
0.0136245 8.07618e-06
0.0137363 8.45442e-06
0.0138491 8.62981e-06
0.0139628 8.63168e-06
0.0140774 8.49601e-06
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