# k P_nu(k)
# a = 0.101134
# nbins = 695
1.22718e-05 1.46035e+10
1.7355e-05 7.01638e+09
2.12555e-05 4.11915e+09
2.45437e-05 2.66942e+09
2.74407e-05 1.85181e+09
3.00598e-05 1.35001e+09
3.471e-05 8.00571e+08
3.68155e-05 6.3195e+08
3.8807e-05 5.08718e+08
4.07011e-05 4.27015e+08
4.25109e-05 3.57854e+08
4.42468e-05 3.08211e+08
4.5917e-05 2.62723e+08
4.90874e-05 2.07073e+08
5.05981e-05 1.82589e+08
5.2065e-05 1.65346e+08
5.34917e-05 1.46108e+08
5.48814e-05 1.33294e+08
5.62367e-05 1.2184e+08
5.75601e-05 1.12855e+08
6.01195e-05 9.3088e+07
6.13592e-05 8.68569e+07
6.25744e-05 7.98573e+07
6.37664e-05 7.39973e+07
6.60859e-05 6.4387e+07
6.72157e-05 5.98909e+07
6.942e-05 5.36678e+07
7.04964e-05 4.92146e+07
7.15565e-05 4.50431e+07
7.26012e-05 4.34447e+07
7.36311e-05 4.0174e+07
7.46467e-05 3.69238e+07
7.56487e-05 3.58951e+07
7.7614e-05 3.08424e+07
7.85782e-05 2.96234e+07
7.95307e-05 2.74267e+07
8.04719e-05 2.54608e+07
8.14022e-05 2.4586e+07
8.2322e-05 2.29371e+07
8.32317e-05 2.19333e+07
8.50218e-05 1.98761e+07
8.59029e-05 1.86788e+07
8.67751e-05 1.76486e+07
8.76385e-05 1.65971e+07
8.84935e-05 1.66628e+07
8.93404e-05 1.54665e+07
9.01793e-05 1.44663e+07
9.18341e-05 1.33546e+07
9.26504e-05 1.23725e+07
9.34596e-05 1.19705e+07
9.42618e-05 1.12869e+07
9.58462e-05 1.04733e+07
9.66286e-05 1.00521e+07
9.81748e-05 9.40066e+06
9.89388e-05 9.01198e+06
9.9697e-05 8.59175e+06
0.000100947 7.97401e+06
0.000101938 7.79839e+06
0.000102674 7.51567e+06
0.00010413 7.06447e+06
0.000104851 6.80285e+06
0.000105793 6.47175e+06
0.000106983 6.14787e+06
0.000107685 6.03863e+06
0.000108382 5.94314e+06
0.000109763 5.2658e+06
0.000110447 5.40005e+06
0.000111126 5.06587e+06
0.00011207 4.97384e+06
0.000113141 4.67184e+06
0.000113804 4.71953e+06
0.00011512 4.38344e+06
0.000115772 4.33362e+06
0.000116605 4.15007e+06
0.000118768 3.86581e+06
0.000120655 3.68511e+06
0.000121732 3.44678e+06
0.000122718 3.28362e+06
0.000123466 3.23319e+06
0.000125149 3.00481e+06
0.000125749 3.01508e+06
0.000126644 2.90513e+06
0.000127941 2.73048e+06
0.000128708 2.73345e+06
0.000130739 2.42061e+06
0.000131943 2.35199e+06
0.000132953 2.28145e+06
0.000134431 2.15891e+06
0.000135328 2.11318e+06
0.000136101 1.95515e+06
0.000137477 1.88755e+06
0.00013884 1.69283e+06
0.000139516 1.76147e+06
0.000140611 1.66428e+06
0.000141939 1.56537e+06
0.000143463 1.44558e+06
0.000144385 1.4746e+06
0.000145548 1.35975e+06
0.000146631 1.2718e+06
0.000148112 1.25072e+06
0.00014952 1.16081e+06
0.000150299 1.14744e+06
0.000151832 1.03966e+06
0.000152783 1.04639e+06
0.000154045 997333
0.000155658 910666
0.00015665 891142
0.0001579 832134
0.000159354 807305
0.000160279 798655
0.000161626 745090
0.000163463 717916
0.000164644 682171
0.000165783 671002
0.000167197 629592
0.000168799 609169
0.000170423 589097
0.000171157 558830
0.000172744 536053
0.000174349 517353
0.00017592 485426
0.000177497 467973
0.000178723 462130
0.000180282 439558
0.000181376 428465
0.000182743 408106
0.000184551 393081
0.000185977 379664
0.000187589 363336
0.000188953 339519
0.000190863 331809
0.000192158 321153
0.000193916 308103
0.000195504 286932
0.000197181 279100
0.000198613 263230
0.000200148 250041
0.000201721 239408
0.000203587 229909
0.00020541 216399
0.000207172 203559
0.000208922 198430
0.000210371 187500
0.000212078 178675
0.000214191 169138
0.000215596 165843
0.00021743 153482
0.000219259 145948
0.000221084 138316
0.00022283 133248
0.000224493 130185
0.000226376 119953
0.000228421 117063
0.000230288 113727
0.000231928 107671
0.00023399 101257
0.000236053 96825.2
0.000237805 95595.3
0.000239779 89272.1
0.000241744 87739.3
0.000243673 82690.4
0.000245757 80230.1
0.000247871 76764.4
0.00024984 74003.3
0.000251597 70565.8
0.000253565 67313.7
0.000256 63940.7
0.000258364 61412.7
0.000260499 59092
0.000262417 55382.1
0.000264367 53099.7
0.000266592 50100.4
0.000268987 47809.4
0.000271108 46119.4
0.000273349 43471
0.000275546 40970.9
0.000277706 39368
0.000280204 37086.3
0.000282696 36358.8
0.000284955 34538.2
0.000287036 32291
0.000289296 30981.5
0.000291909 29947.4
0.000294404 28774
0.000296654 27699.8
0.000299082 26898.9
0.000301403 25295.6
0.000303861 23967.7
0.000306413 22905.5
0.000308749 21746.8
0.000311525 20909.6
0.000313955 20029.9
0.000316471 19215.6
0.000319321 18572.1
0.000322008 17311.4
0.000324666 16498.4
0.00032719 15622.9
0.000329929 15071.3
0.000332507 14515.7
0.000335216 13893.7
0.000337986 13082.9
0.000340927 12333.6
0.000343668 11726.9
0.000346605 11169.1
0.000349164 10811.5
0.000352165 10097.1
0.000355188 9659.15
0.000358008 9438.78
0.000361098 8877.67
0.000363971 8450.43
0.00036707 7925.06
0.000369977 7748.79
0.000373107 7312.87
0.000376085 7051.1
0.000379074 6676.51
0.000382228 6352.15
0.00038541 6138.03
0.000388542 5836.89
0.000391757 5505.36
0.000394981 5316.41
0.000398111 4941.85
0.000401474 4734.22
0.000404717 4514.14
0.000407935 4346.77
0.000411525 4134.12
0.000414686 4004.39
0.000418155 3813.3
0.00042175 3613.86
0.000425291 3375.64
0.000428636 3235.7
0.000432208 3089.44
0.0004357 2978.76
0.000439332 2830.67
0.000442787 2686.27
0.000446449 2570.09
0.000450291 2433.83
0.000453801 2366.12
0.000457447 2222.81
0.000461323 2118.72
0.000465014 2008.59
0.000468866 1928.59
0.000472806 1810.47
0.00047678 1751.37
0.000480624 1649.22
0.000484555 1595.4
0.000488474 1516.53
0.000492396 1434.15
0.000496538 1381.59
0.000500678 1313.55
0.000504761 1249.96
0.000508767 1187.65
0.000512959 1133.58
0.000517253 1084.64
0.000521544 1016.19
0.000525774 985.445
0.000530168 929.429
0.000534431 885.192
0.00053878 830.472
0.000543223 798.303
0.000547788 768.127
0.000552163 727.436
0.000556755 691.951
0.000561463 650.822
0.000566064 632.271
0.000570587 598.903
0.000575277 557.161
0.000580056 538.384
0.000584753 521.368
0.000589576 490.974
0.000594327 472.113
0.000599226 444.13
0.000604166 423.1
0.000609275 400.187
0.000614265 386.388
0.000619191 370.364
0.000624415 348.057
0.000629458 331.387
0.00063466 315.074
0.00063975 300.86
0.00064489 287.152
0.000650271 275.053
0.000655619 258.486
0.000661178 245.827
0.000666601 234.654
0.00067198 221.584
0.000677465 214.704
0.000682952 206.157
0.000688602 192.541
0.000694365 185.203
0.000699968 175.638
0.00070566 165.575
0.000711633 158.801
0.000717351 150.567
0.000723301 142.625
0.000729237 136.964
0.00073526 128.689
0.000741287 123.748
0.000747431 117.401
0.000753573 113.375
0.000759705 107.503
0.000765936 101.565
0.000772341 97.483
0.000778615 92.251
0.000785031 88.1331
0.000791493 82.6289
0.000797999 79.4721
0.000804499 74.9479
0.000811074 71.9728
0.000817707 68.414
0.000824546 64.709
0.000831271 61.7265
0.000838002 58.4174
0.000844949 55.8745
0.000851929 53.416
0.000858954 50.3584
0.000865919 48.3085
0.000873072 45.7978
0.000880195 43.7896
0.000887393 41.0094
0.000894783 39.5761
0.000902097 37.3457
0.00090951 35.586
0.000916929 33.9915
0.000924423 32.1336
0.00093206 30.4134
0.000939669 29.1481
0.000947384 27.8292
0.000955222 26.4997
0.000963012 25.1855
0.00097096 23.8864
0.000978975 22.7626
0.000986946 21.3579
0.000995044 20.6192
0.00100317 19.5059
0.00101134 18.59
0.00101966 17.761
0.00102811 16.8223
0.0010366 15.9562
0.00104515 15.1699
0.00105367 14.4748
0.0010623 13.5646
0.00107099 13.0858
0.00107984 12.4017
0.00108877 11.8504
0.00109754 11.2423
0.00110658 10.7115
0.00111585 10.1522
0.001125 9.59473
0.00113422 9.13938
0.00114355 8.69617
0.00115284 8.23803
0.0011623 7.87318
0.00117183 7.46511
0.00118147 7.11871
0.00119124 6.77365
0.00120099 6.5108
0.00121082 6.12272
0.00122077 5.86268
0.00123083 5.54967
0.00124092 5.24815
0.00125109 4.95557
0.00126141 4.75317
0.00127177 4.54584
0.00128216 4.32197
0.00129272 4.08943
0.00130337 3.8768
0.00131407 3.69455
0.00132486 3.53096
0.00133574 3.32144
0.00134668 3.15633
0.0013577 3.00955
0.0013688 2.87745
0.00138009 2.7355
0.00139144 2.57254
0.00140285 2.45767
0.00141438 2.34524
0.0014259 2.22644
0.00143763 2.10972
0.00144946 2.01745
0.00146138 1.91519
0.00147343 1.80918
0.00148553 1.72147
0.00149773 1.63565
0.00150998 1.56319
0.00152238 1.48635
0.00153493 1.40246
0.00154754 1.34522
0.0015602 1.27226
0.00157297 1.21676
0.00158593 1.15046
0.00159901 1.09003
0.00161212 1.03029
0.00162533 0.988396
0.00163867 0.932117
0.00165213 0.890885
0.00166568 0.847902
0.00167936 0.802124
0.00169314 0.761234
0.00170706 0.72487
0.00172108 0.690013
0.00173519 0.655084
0.00174947 0.622427
0.00176388 0.591075
0.00177833 0.560974
0.00179289 0.535999
0.00180762 0.506991
0.0018225 0.482558
0.00183749 0.458587
0.00185259 0.43497
0.00186776 0.411121
0.00188308 0.392568
0.00189858 0.373712
0.00191415 0.354088
0.00192986 0.33627
0.00194568 0.321278
0.00196164 0.304347
0.00197781 0.288379
0.00199407 0.276151
0.00201041 0.261543
0.0020269 0.24811
0.00204357 0.235423
0.00206031 0.22368
0.00207723 0.212331
0.00209433 0.201791
0.00211151 0.192096
0.00212883 0.182841
0.00214631 0.173244
0.00216395 0.164486
0.00218171 0.15653
0.00219964 0.148682
0.0022177 0.140685
0.00223591 0.134337
0.00225426 0.127516
0.00227273 0.12087
0.00229144 0.11533
0.00231024 0.109318
0.00232919 0.103831
0.00234835 0.0988103
0.00236765 0.0938006
0.00238708 0.0891068
0.00240668 0.0846643
0.00242645 0.0804163
0.00244635 0.0764319
0.00246642 0.0723374
0.00248668 0.0689024
0.00250712 0.065551
0.0025277 0.0619932
0.00254846 0.0591364
0.00256938 0.0561982
0.00259045 0.0533525
0.00261172 0.0507194
0.00263319 0.048247
0.00265482 0.0457401
0.0026766 0.043294
0.00269857 0.0412822
0.00272074 0.0391799
0.00274311 0.0372284
0.00276562 0.0353798
0.00278831 0.0336625
0.00281122 0.0319019
0.00283428 0.0303802
0.00285753 0.0288715
0.00288102 0.027332
0.00290469 0.025954
0.00292852 0.0247156
0.00295255 0.0234454
0.00297682 0.0222676
0.00300132 0.0211314
0.00302595 0.020121
0.00305077 0.0190847
0.00307582 0.0181369
0.00310109 0.0172142
0.00312652 0.0163488
0.00315219 0.0155269
0.00317808 0.0147346
0.00320418 0.013997
0.00323049 0.0133136
0.003257 0.0126178
0.00328375 0.0119779
0.00331073 0.0113963
0.00333793 0.0108171
0.00336532 0.0102484
0.00339295 0.00974505
0.00342081 0.00925028
0.0034489 0.00879367
0.00347724 0.00833469
0.00350579 0.00792276
0.00353457 0.00751895
0.00356356 0.0071424
0.0035928 0.00677331
0.0036223 0.00642923
0.00365206 0.00610715
0.00368208 0.00580323
0.00371232 0.00550536
0.0037428 0.00523161
0.00377353 0.00496103
0.00380451 0.00471804
0.00383574 0.0044818
0.00386724 0.00425704
0.00389899 0.00403692
0.003931 0.00382677
0.0039633 0.00363513
0.00399584 0.00345234
0.00402865 0.00328314
0.00406173 0.0031155
0.00409507 0.00295878
0.00412871 0.00281098
0.00416262 0.00266751
0.0041968 0.00253603
0.00423127 0.00240751
0.004266 0.00228732
0.00430101 0.0021686
0.00433633 0.00206318
0.00437195 0.0019591
0.00440786 0.00186027
0.00444405 0.00176831
0.00448053 0.00168109
0.00451731 0.00159448
0.0045544 0.00151618
0.00459181 0.0014412
0.00462953 0.00136943
0.00466752 0.00130288
0.00470583 0.00123713
0.00474448 0.00117669
0.00478347 0.00111883
0.00482275 0.00106393
0.00486234 0.00101199
0.00490225 0.00096168
0.0049425 0.000915314
0.0049831 0.000872815
0.00502401 0.000829916
0.00506526 0.000789786
0.00510687 0.000751788
0.00514879 0.000716579
0.00519107 0.000682036
0.0052337 0.000649897
0.00527667 0.000620033
0.00532001 0.000591547
0.00536367 0.000563871
0.00540771 0.000538405
0.00545214 0.000513724
0.0054969 0.000490568
0.00554203 0.0004688
0.00558753 0.000448214
0.00563342 0.000428476
0.00567967 0.000410538
0.00572631 0.000392585
0.00577334 0.000376078
0.00582073 0.000360117
0.00586853 0.000345978
0.00591672 0.000331729
0.0059653 0.000318652
0.00601426 0.00030655
0.00606365 0.000294419
0.00611346 0.000283834
0.00616366 0.000273522
0.00621427 0.000263975
0.00626529 0.000254562
0.00631673 0.000246125
0.00636859 0.000238016
0.00642088 0.000230674
0.00647362 0.000223616
0.00652677 0.000216992
0.00658036 0.000211173
0.0066344 0.000205188
0.00668886 0.000199958
0.00674379 0.000195294
0.00679918 0.000190599
0.00685501 0.000186608
0.00691131 0.000182897
0.00696806 0.00017938
0.00702526 0.000176336
0.00708294 0.000173566
0.00714111 0.000171057
0.00719973 0.000168846
0.00725885 0.000166914
0.00731846 0.000165357
0.00737856 0.000163983
0.00743915 0.000162899
0.00750022 0.000162122
0.0075618 0.000161473
0.0076239 0.000161082
0.00768649 0.000160988
0.00774961 0.000161099
0.00781325 0.000161861
0.00787742 0.000162155
0.0079421 0.000162739
0.0080073 0.000163968
0.00807306 0.000165395
0.00813935 0.000166668
0.00820618 0.000168769
0.00827356 0.000170364
0.0083415 0.00017284
0.00840998 0.000175085
0.00847904 0.000177705
0.00854867 0.00018029
0.00861886 0.000183161
0.00868963 0.000186293
0.00876099 0.000190089
0.00883292 0.000193482
0.00890544 0.000197259
0.00897858 0.000201218
0.00905231 0.000205372
0.00912663 0.000209299
0.00920156 0.000213667
0.00927713 0.000218163
0.0093533 0.000222777
0.0094301 0.000226904
0.00950753 0.000231403
0.0095856 0.000236248
0.00966431 0.00024008
0.00974367 0.000244697
0.00982367 0.000248369
0.00990433 0.000253185
0.00998566 0.000256327
0.0100677 0.000260795
0.0101503 0.000263958
0.0102337 0.000266916
0.0103177 0.000269073
0.0104024 0.000271843
0.0104878 0.000273269
0.010574 0.000274157
0.0106608 0.000274409
0.0107483 0.000274046
0.0108366 0.000273054
0.0109256 0.000270663
0.0110152 0.000264692
0.0111055 0.000153418
0.0111967 8.4881e-05
0.0112886 5.87619e-05
0.0113813 4.61379e-05
0.0114748 3.93685e-05
0.011569 3.5515e-05
0.011664 3.33486e-05
0.0117598 3.22423e-05
0.0118563 3.18672e-05
0.0119537 3.20322e-05
0.0120518 3.26327e-05
0.0121508 3.35737e-05
0.0122505 3.4911e-05
0.0123511 3.64848e-05
0.0124525 3.84018e-05
0.0125548 4.06315e-05
0.0126579 4.31485e-05
0.0127618 4.60032e-05
0.0128666 4.91863e-05
0.0129722 5.26961e-05
0.0130787 5.66221e-05
0.0131861 6.08516e-05
0.0132944 6.54935e-05
0.0134035 7.04803e-05
0.0135136 7.59398e-05
0.0136245 8.16539e-05
0.0137363 8.77146e-05
0.0138491 9.40372e-05
0.0139628 0.000100492
0.0140774 0.000107032
0.014193 0.000113665
0.0143095 0.000119791
0.014427 0.000125724
0.0145454 0.000130529
0.0146648 0.000134286
0.0147852 0.000136544
0.0149065 0.000136803
0.0150288 0.000134366
0.0151522 0.000128478
0.0152765 0.000118139
0.0154018 0.000102672
0.0155281 7.96432e-05
0.0156556 5.43429e-05
0.0157843 4.83902e-05
0.0159139 5.02876e-05
0.0160445 5.50348e-05
0.0161763 6.16574e-05
0.0163091 6.98931e-05
0.0164429 7.97794e-05
0.0165779 9.13405e-05
0.0167139 0.00010463
0.0168511 0.000120059
0.0169894 0.0001376
0.0171288 0.000157741
0.0172693 0.000179901
0.0174109 0.000204655
0.0175537 0.000232094
0.0176976 0.000261958
0.0178426 0.000294888
0.0179887 0.000329722
0.018136 0.000366932
0.0182842 0.000405708
0.0184332 0.000447882
0.0185832 0.000488277
0.0187336 0.000531473
0.0188802 0.00057227
0.0190113 0.000605515
0.0191299 0.000702429