# k P_nu(k)
# a = 0.124349
# nbins = 695
1.22718e-05 2.73804e+10
1.7355e-05 1.35452e+10
2.12555e-05 8.08581e+09
2.45437e-05 5.29626e+09
2.74407e-05 3.70463e+09
3.00598e-05 2.71976e+09
3.471e-05 1.63278e+09
3.68155e-05 1.29139e+09
3.8807e-05 1.04084e+09
4.07011e-05 8.78711e+08
4.25109e-05 7.37662e+08
4.42468e-05 6.38053e+08
4.5917e-05 5.43605e+08
4.90874e-05 4.32319e+08
5.05981e-05 3.81193e+08
5.2065e-05 3.46642e+08
5.34917e-05 3.05531e+08
5.48814e-05 2.79577e+08
5.62367e-05 2.56116e+08
5.75601e-05 2.38184e+08
6.01195e-05 1.95957e+08
6.13592e-05 1.83501e+08
6.25744e-05 1.68656e+08
6.37664e-05 1.56415e+08
6.60859e-05 1.36569e+08
6.72157e-05 1.27083e+08
6.942e-05 1.1477e+08
7.04964e-05 1.04876e+08
7.15565e-05 9.55753e+07
7.26012e-05 9.28524e+07
7.36311e-05 8.56646e+07
7.46467e-05 7.83984e+07
7.56487e-05 7.68244e+07
7.7614e-05 6.56999e+07
7.85782e-05 6.34085e+07
7.95307e-05 5.85233e+07
8.04719e-05 5.41588e+07
8.14022e-05 5.26091e+07
8.2322e-05 4.89517e+07
8.32317e-05 4.6962e+07
8.50218e-05 4.26707e+07
8.59029e-05 4.00851e+07
8.67751e-05 3.78606e+07
8.76385e-05 3.55489e+07
8.84935e-05 3.61349e+07
8.93404e-05 3.33801e+07
9.01793e-05 3.11183e+07
9.18341e-05 2.8854e+07
9.26504e-05 2.65602e+07
9.34596e-05 2.57889e+07
9.42618e-05 2.42498e+07
9.58462e-05 2.25712e+07
9.66286e-05 2.16724e+07
9.81748e-05 2.03472e+07
9.89388e-05 1.9505e+07
9.9697e-05 1.85574e+07
0.000100947 1.71783e+07
0.000101938 1.69164e+07
0.000102674 1.62957e+07
0.00010413 1.53563e+07
0.000104851 1.47708e+07
0.000105793 1.40268e+07
0.000106983 1.33291e+07
0.000107685 1.31415e+07
0.000108382 1.29729e+07
0.000109763 1.13544e+07
0.000110447 1.17661e+07
0.000111126 1.09566e+07
0.00011207 1.08087e+07
0.000113141 1.01078e+07
0.000113804 1.0295e+07
0.00011512 9.51698e+06
0.000115772 9.44063e+06
0.000116605 9.02329e+06
0.000118768 8.42524e+06
0.000120655 8.07551e+06
0.000121732 7.51081e+06
0.000122718 7.14432e+06
0.000123466 7.05269e+06
0.000125149 6.53819e+06
0.000125749 6.60426e+06
0.000126644 6.35864e+06
0.000127941 5.96291e+06
0.000128708 6.01401e+06
0.000130739 5.27506e+06
0.000131943 5.14716e+06
0.000132953 5.00783e+06
0.000134431 4.7386e+06
0.000135328 4.65234e+06
0.000136101 4.26337e+06
0.000137477 4.13445e+06
0.00013884 3.66465e+06
0.000139516 3.87211e+06
0.000140611 3.65095e+06
0.000141939 3.42909e+06
0.000143463 3.15436e+06
0.000144385 3.25767e+06
0.000145548 2.98526e+06
0.000146631 2.77695e+06
0.000148112 2.75726e+06
0.00014952 2.54986e+06
0.000150299 2.52932e+06
0.000151832 2.27473e+06
0.000152783 2.31171e+06
0.000154045 2.20437e+06
0.000155658 1.99997e+06
0.00015665 1.96329e+06
0.0001579 1.82425e+06
0.000159354 1.7785e+06
0.000160279 1.76767e+06
0.000161626 1.64097e+06
0.000163463 1.58994e+06
0.000164644 1.50664e+06
0.000165783 1.48646e+06
0.000167197 1.3908e+06
0.000168799 1.34879e+06
0.000170423 1.3096e+06
0.000171157 1.23389e+06
0.000172744 1.18433e+06
0.000174349 1.14484e+06
0.00017592 1.07121e+06
0.000177497 1.03356e+06
0.000178723 1.02516e+06
0.000180282 973561
0.000181376 950599
0.000182743 902562
0.000184551 871857
0.000185977 842877
0.000187589 806636
0.000188953 749163
0.000190863 737229
0.000192158 714070
0.000193916 686232
0.000195504 635945
0.000197181 621715
0.000198613 583808
0.000200148 553751
0.000201721 530749
0.000203587 511661
0.00020541 481045
0.000207172 451633
0.000208922 442941
0.000210371 417087
0.000212078 397734
0.000214191 376766
0.000215596 371175
0.00021743 341193
0.000219259 324557
0.000221084 307526
0.00022283 296565
0.000224493 290925
0.000226376 266319
0.000228421 261114
0.000230288 254618
0.000231928 239984
0.00023399 225437
0.000236053 215275
0.000237805 213873
0.000239779 198719
0.000241744 196480
0.000243673 184415
0.000245757 179514
0.000247871 171796
0.00024984 165689
0.000251597 157899
0.000253565 150578
0.000256 143120
0.000258364 137701
0.000260499 132960
0.000262417 124041
0.000264367 118853
0.000266592 111947
0.000268987 106841
0.000271108 103639
0.000273349 97434.5
0.000275546 91719.3
0.000277706 88160.3
0.000280204 83002.8
0.000282696 81957.7
0.000284955 77905.6
0.000287036 72339.2
0.000289296 69480.7
0.000291909 67433.3
0.000294404 64953.1
0.000296654 62517
0.000299082 60977.9
0.000301403 57149.2
0.000303861 53995.3
0.000306413 51632.5
0.000308749 48904.5
0.000311525 47165.8
0.000313955 45119.1
0.000316471 43409.9
0.000319321 42127.1
0.000322008 39102.4
0.000324666 37229.5
0.00032719 35196.9
0.000329929 34024.6
0.000332507 32852.2
0.000335216 31513.6
0.000337986 29588.8
0.000340927 27879.5
0.000343668 26520.1
0.000346605 25252.5
0.000349164 24515
0.000352165 22825.5
0.000355188 21855.4
0.000358008 21446.8
0.000361098 20125.3
0.000363971 19152.1
0.00036707 17883
0.000369977 17579.7
0.000373107 16568.4
0.000376085 16019.3
0.000379074 15147.7
0.000382228 14410.5
0.00038541 13951.9
0.000388542 13262.4
0.000391757 12505.4
0.000394981 12093.3
0.000398111 11191.8
0.000401474 10743.6
0.000404717 10239
0.000407935 9888.63
0.000411525 9428.69
0.000414686 9143.66
0.000418155 8712.18
0.00042175 8243.22
0.000425291 7681.02
0.000428636 7372.54
0.000432208 7038.63
0.0004357 6795.42
0.000439332 6459.63
0.000442787 6124.87
0.000446449 5865.34
0.000450291 5554.03
0.000453801 5420.86
0.000457447 5083.76
0.000461323 4840.03
0.000465014 4588.01
0.000468866 4415.07
0.000472806 4130.64
0.00047678 4014.26
0.000480624 3777.45
0.000484555 3658.07
0.000488474 3477.83
0.000492396 3284.51
0.000496538 3173.57
0.000500678 3015.73
0.000504761 2870.03
0.000508767 2726.32
0.000512959 2607.33
0.000517253 2495.32
0.000521544 2331.42
0.000525774 2269.69
0.000530168 2136.12
0.000534431 2037.1
0.00053878 1908.16
0.000543223 1836.36
0.000547788 1772.32
0.000552163 1676.11
0.000556755 1592.15
0.000561463 1496.64
0.000566064 1460.84
0.000570587 1381.02
0.000575277 1281.19
0.000580056 1241.72
0.000584753 1204.73
0.000589576 1135.18
0.000594327 1092.85
0.000599226 1025.96
0.000604166 978.269
0.000609275 922.599
0.000614265 896.941
0.000619191 858.552
0.000624415 807.04
0.000629458 767.743
0.00063466 730.41
0.00063975 696.998
0.00064489 666.269
0.000650271 638.744
0.000655619 599.232
0.000661178 570.461
0.000666601 545.226
0.00067198 514.303
0.000677465 499.188
0.000682952 480.962
0.000688602 448.199
0.000694365 431.161
0.000699968 408.597
0.00070566 385.561
0.000711633 371.179
0.000717351 350.743
0.000723301 331.812
0.000729237 319.601
0.00073526 299.839
0.000741287 289.212
0.000747431 274.295
0.000753573 265.422
0.000759705 251.756
0.000765936 237.764
0.000772341 228.773
0.000778615 216.128
0.000785031 206.439
0.000791493 193.43
0.000797999 186.426
0.000804499 175.713
0.000811074 168.878
0.000817707 160.924
0.000824546 151.953
0.000831271 145.24
0.000838002 137.5
0.000844949 131.536
0.000851929 125.645
0.000858954 118.482
0.000865919 113.789
0.000873072 107.969
0.000880195 103.399
0.000887393 96.5539
0.000894783 93.4995
0.000902097 88.2025
0.00090951 83.9461
0.000916929 80.4362
0.000924423 76.0039
0.00093206 71.8961
0.000939669 69.0767
0.000947384 66.0528
0.000955222 62.9056
0.000963012 59.6704
0.00097096 56.6603
0.000978975 54.0257
0.000986946 50.7586
0.000995044 49.1088
0.00100317 46.395
0.00101134 44.162
0.00101966 42.1862
0.00102811 40.0934
0.0010366 38.0867
0.00104515 36.1831
0.00105367 34.5269
0.0010623 32.4114
0.00107099 31.2432
0.00107984 29.6536
0.00108877 28.3296
0.00109754 26.8887
0.00110658 25.6528
0.00111585 24.3349
0.001125 22.9645
0.00113422 21.8847
0.00114355 20.8813
0.00115284 19.7941
0.0011623 18.9029
0.00117183 17.9682
0.00118147 17.1653
0.00119124 16.3027
0.00120099 15.6938
0.00121082 14.7202
0.00122077 14.1518
0.00123083 13.3976
0.00124092 12.6619
0.00125109 11.9579
0.00126141 11.5241
0.00127177 10.9901
0.00128216 10.4621
0.00129272 9.90454
0.00130337 9.4021
0.00131407 8.96792
0.00132486 8.58739
0.00133574 8.07573
0.00134668 7.65811
0.0013577 7.32046
0.0013688 7.00938
0.00138009 6.65667
0.00139144 6.28405
0.00140285 5.99493
0.00141438 5.73212
0.0014259 5.4351
0.00143763 5.15358
0.00144946 4.92083
0.00146138 4.68343
0.00147343 4.42509
0.00148553 4.22571
0.00149773 4.01287
0.00150998 3.83284
0.00152238 3.6503
0.00153493 3.44935
0.00154754 3.30917
0.0015602 3.13659
0.00157297 2.99648
0.00158593 2.83875
0.00159901 2.69484
0.00161212 2.54622
0.00162533 2.44348
0.00163867 2.31081
0.00165213 2.20677
0.00166568 2.10064
0.00167936 1.99015
0.00169314 1.89025
0.00170706 1.80089
0.00172108 1.71626
0.00173519 1.62913
0.00174947 1.54924
0.00176388 1.47542
0.00177833 1.39781
0.00179289 1.33959
0.00180762 1.26767
0.0018225 1.20809
0.00183749 1.14704
0.00185259 1.08964
0.00186776 1.03195
0.00188308 0.986513
0.00189858 0.938577
0.00191415 0.888284
0.00192986 0.848577
0.00194568 0.809454
0.00196164 0.767978
0.00197781 0.72728
0.00199407 0.697783
0.00201041 0.662551
0.0020269 0.627672
0.00204357 0.595999
0.00206031 0.567031
0.00207723 0.539397
0.00209433 0.512992
0.00211151 0.488183
0.00212883 0.465954
0.00214631 0.441595
0.00216395 0.419711
0.00218171 0.399174
0.00219964 0.37953
0.0022177 0.360542
0.00223591 0.344486
0.00225426 0.326807
0.00227273 0.310495
0.00229144 0.296144
0.00231024 0.280929
0.00232919 0.267712
0.00234835 0.254636
0.00236765 0.242222
0.00238708 0.230169
0.00240668 0.219232
0.00242645 0.208333
0.00244635 0.198377
0.00246642 0.187924
0.00248668 0.178927
0.00250712 0.170389
0.0025277 0.161264
0.00254846 0.154051
0.00256938 0.146598
0.00259045 0.139474
0.00261172 0.132494
0.00263319 0.126317
0.00265482 0.119942
0.0026766 0.113767
0.00269857 0.108309
0.00272074 0.10307
0.00274311 0.0979004
0.00276562 0.0932926
0.00278831 0.0888324
0.00281122 0.0842626
0.00283428 0.0803966
0.00285753 0.076473
0.00288102 0.0724765
0.00290469 0.068979
0.00292852 0.065733
0.00295255 0.0623949
0.00297682 0.0593516
0.00300132 0.0563875
0.00302595 0.0537973
0.00305077 0.0510486
0.00307582 0.0486047
0.00310109 0.046231
0.00312652 0.0439118
0.00315219 0.0417952
0.00317808 0.0396961
0.00320418 0.0377945
0.00323049 0.0360053
0.003257 0.0341574
0.00328375 0.0324848
0.00331073 0.0309064
0.00333793 0.029393
0.00336532 0.0279375
0.00339295 0.0266073
0.00342081 0.025252
0.0034489 0.0240484
0.00347724 0.0228711
0.00350579 0.0217439
0.00353457 0.0206598
0.00356356 0.0196885
0.0035928 0.0186636
0.0036223 0.0177784
0.00365206 0.0168913
0.00368208 0.0160792
0.00371232 0.0152597
0.0037428 0.0145355
0.00377353 0.013838
0.00380451 0.0131556
0.00383574 0.0125311
0.00386724 0.0119113
0.00389899 0.0113196
0.003931 0.010753
0.0039633 0.0102314
0.00399584 0.00973274
0.00402865 0.00926683
0.00406173 0.00880848
0.00409507 0.00837977
0.00412871 0.00797706
0.00416262 0.00758221
0.0041968 0.00721371
0.00423127 0.0068569
0.004266 0.0065295
0.00430101 0.00620543
0.00433633 0.00590874
0.00437195 0.00562112
0.00440786 0.00534436
0.00444405 0.00509247
0.00448053 0.0048478
0.00451731 0.00460559
0.0045544 0.00438551
0.00459181 0.00417383
0.00462953 0.00396802
0.00466752 0.00378138
0.00470583 0.00359555
0.00474448 0.00342224
0.00478347 0.00326266
0.00482275 0.00310507
0.00486234 0.00295527
0.00490225 0.00281325
0.0049425 0.00268068
0.0049831 0.00255737
0.00502401 0.00242902
0.00506526 0.00231673
0.00510687 0.00220808
0.00514879 0.00210604
0.00519107 0.00200563
0.0052337 0.00191264
0.00527667 0.00182377
0.00532001 0.0017389
0.00536367 0.00165994
0.00540771 0.00158245
0.00545214 0.00151013
0.0054969 0.00144212
0.00554203 0.00137725
0.00558753 0.00131505
0.00563342 0.00125622
0.00567967 0.00120155
0.00572631 0.00114786
0.00577334 0.00109714
0.00582073 0.00104957
0.00586853 0.00100504
0.00591672 0.000962261
0.0059653 0.000921202
0.00601426 0.00088298
0.00606365 0.000845841
0.00611346 0.000812351
0.00616366 0.000779285
0.00621427 0.000748804
0.00626529 0.000719234
0.00631673 0.00069124
0.00636859 0.00066507
0.00642088 0.000640346
0.00647362 0.000616836
0.00652677 0.000594765
0.00658036 0.00057425
0.0066344 0.00055424
0.00668886 0.00053636
0.00674379 0.000518461
0.00679918 0.000502678
0.00685501 0.000487041
0.00691131 0.000473068
0.00696806 0.000459207
0.00702526 0.000447077
0.00708294 0.000435562
0.00714111 0.000424409
0.00719973 0.000414744
0.00725885 0.000405267
0.00731846 0.000396565
0.00737856 0.000388436
0.00743915 0.000381507
0.00750022 0.000375231
0.0075618 0.000369143
0.0076239 0.00036401
0.00768649 0.000359133
0.00774961 0.00035492
0.00781325 0.000351909
0.00787742 0.000348731
0.0079421 0.000346075
0.0080073 0.000344115
0.00807306 0.000343385
0.00813935 0.000341302
0.00820618 0.0003417
0.00827356 0.000340977
0.0083415 0.000341972
0.00840998 0.000341983
0.00847904 0.000343274
0.00854867 0.000344898
0.00861886 0.000346268
0.00868963 0.000348422
0.00876099 0.000351546
0.00883292 0.000353854
0.00890544 0.000356656
0.00897858 0.000360021
0.00905231 0.000363107
0.00912663 0.000366396
0.00920156 0.000370062
0.00927713 0.000374072
0.0093533 0.000377951
0.0094301 0.000381803
0.00950753 0.000384716
0.0095856 0.000389162
0.00966431 0.000392279
0.00974367 0.00039551
0.00982367 0.00039809
0.00990433 0.000401602
0.00998566 0.000403754
0.0100677 0.000406776
0.0101503 0.000408677
0.0102337 0.00040991
0.0103177 0.000410998
0.0104024 0.000411793
0.0104878 0.000412005
0.010574 0.000411827
0.0106608 0.000410702
0.0107483 0.000408997
0.0108366 0.000407138
0.0109256 0.000404228
0.0110152 0.000398114
0.0111055 0.000286814
0.0111967 0.000196122
0.0112886 0.000150375
0.0113813 0.00012458
0.0114748 0.000108807
0.011569 9.8799e-05
0.011664 9.23542e-05
0.0117598 8.83174e-05
0.0118563 8.59112e-05
0.0119537 8.47848e-05
0.0120518 8.4603e-05
0.0121508 8.51901e-05
0.0122505 8.64918e-05
0.0123511 8.83258e-05
0.0124525 9.07372e-05
0.0125548 9.3583e-05
0.0126579 9.68907e-05
0.0127618 0.000100585
0.0128666 0.000104718
0.0129722 0.000109152
0.0130787 0.000113922
0.0131861 0.000119005
0.0132944 0.000124377
0.0134035 0.000129845
0.0135136 0.000135746
0.0136245 0.000141437
0.0137363 0.000147357
0.0138491 0.000153205
0.0139628 0.000158727
0.0140774 0.0001641
0.014193 0.000169125
0.0143095 0.000173471
0.014427 0.000177147
0.0145454 0.000179882
0.0146648 0.000181677
0.0147852 0.00018198
0.0149065 0.000180629
0.0150288 0.000177221
0.0151522 0.000171228
0.0152765 0.000161799
0.0154018 0.00014807
0.0155281 0.000128134
0.0156556 0.000105628
0.0157843 9.91125e-05
0.0159139 0.000100763
0.0160445 0.000105887
0.0161763 0.000113293
0.0163091 0.000122375
0.0164429 0.000132964
0.0165779 0.000144914
0.0167139 0.000157923
0.0168511 0.000172345
0.0169894 0.000187706
0.0171288 0.000204241
0.0172693 0.000221696
0.0174109 0.000240414
0.0175537 0.000259776
0.0176976 0.00028019
0.0178426 0.000301572
0.0179887 0.000324251
0.018136 0.000347483
0.0182842 0.000372187
0.0184332 0.000397974
0.0185832 0.000424195
0.0187336 0.000452605
0.0188802 0.000484247
0.0190113 0.000516288
0.0191299 2.96957e-05