# k P_nu(k)
# a = 0.277833
# nbins = 695
1.22718e-05 2.83018e+11
1.7355e-05 1.57004e+11
2.12555e-05 1.00185e+11
2.45437e-05 6.83963e+10
2.74407e-05 4.9451e+10
3.00598e-05 3.73742e+10
3.471e-05 2.36891e+10
3.68155e-05 1.88087e+10
3.8807e-05 1.51671e+10
4.07011e-05 1.31803e+10
4.25109e-05 1.11168e+10
4.42468e-05 9.82373e+09
4.5917e-05 8.30852e+09
4.90874e-05 6.92535e+09
5.05981e-05 6.08133e+09
5.2065e-05 5.65689e+09
5.34917e-05 4.89284e+09
5.48814e-05 4.54878e+09
5.62367e-05 4.21215e+09
5.75601e-05 4.00607e+09
6.01195e-05 3.22692e+09
6.13592e-05 3.08639e+09
6.25744e-05 2.82224e+09
6.37664e-05 2.62846e+09
6.60859e-05 2.33451e+09
6.72157e-05 2.17416e+09
6.942e-05 2.05305e+09
7.04964e-05 1.83358e+09
7.15565e-05 1.62333e+09
7.26012e-05 1.64815e+09
7.36311e-05 1.4997e+09
7.46467e-05 1.32948e+09
7.56487e-05 1.36831e+09
7.7614e-05 1.13491e+09
7.85782e-05 1.12736e+09
7.95307e-05 1.01996e+09
8.04719e-05 9.2507e+08
8.14022e-05 9.32872e+08
8.2322e-05 8.49991e+08
8.32317e-05 8.32415e+08
8.50218e-05 7.62524e+08
8.59029e-05 7.19994e+08
8.67751e-05 6.77635e+08
8.76385e-05 6.29556e+08
8.84935e-05 6.90148e+08
8.93404e-05 6.19075e+08
9.01793e-05 5.65275e+08
9.18341e-05 5.38249e+08
9.26504e-05 4.747e+08
9.34596e-05 4.73087e+08
9.42618e-05 4.35944e+08
9.58462e-05 4.122e+08
9.66286e-05 3.96217e+08
9.81748e-05 3.79534e+08
9.89388e-05 3.65662e+08
9.9697e-05 3.42621e+08
0.000100947 3.1045e+08
0.000101938 3.21245e+08
0.000102674 3.07906e+08
0.00010413 2.95252e+08
0.000104851 2.81681e+08
0.000105793 2.63454e+08
0.000106983 2.49825e+08
0.000107685 2.53428e+08
0.000108382 2.54353e+08
0.000109763 2.07744e+08
0.000110447 2.27412e+08
0.000111126 2.02661e+08
0.00011207 2.06234e+08
0.000113141 1.87117e+08
0.000113804 2.00166e+08
0.00011512 1.79415e+08
0.000115772 1.82112e+08
0.000116605 1.72414e+08
0.000118768 1.62537e+08
0.000120655 1.60842e+08
0.000121732 1.44478e+08
0.000122718 1.37019e+08
0.000123466 1.36587e+08
0.000125149 1.23878e+08
0.000125749 1.30978e+08
0.000126644 1.25344e+08
0.000127941 1.16066e+08
0.000128708 1.22752e+08
0.000130739 1.01152e+08
0.000131943 1.01265e+08
0.000132953 1.00894e+08
0.000134431 9.46984e+07
0.000135328 9.43691e+07
0.000136101 8.16308e+07
0.000137477 8.13973e+07
0.00013884 6.69219e+07
0.000139516 7.8058e+07
0.000140611 7.28607e+07
0.000141939 6.77721e+07
0.000143463 6.06925e+07
0.000144385 6.7208e+07
0.000145548 5.97427e+07
0.000146631 5.36822e+07
0.000148112 5.62749e+07
0.00014952 5.10641e+07
0.000150299 5.13226e+07
0.000151832 4.44725e+07
0.000152783 4.78585e+07
0.000154045 4.58235e+07
0.000155658 4.00254e+07
0.00015665 4.00295e+07
0.0001579 3.61134e+07
0.000159354 3.6325e+07
0.000160279 3.70622e+07
0.000161626 3.34372e+07
0.000163463 3.34662e+07
0.000164644 3.12629e+07
0.000165783 3.0981e+07
0.000167197 2.88673e+07
0.000168799 2.81083e+07
0.000170423 2.81087e+07
0.000171157 2.54304e+07
0.000172744 2.43955e+07
0.000174349 2.37209e+07
0.00017592 2.20689e+07
0.000177497 2.12546e+07
0.000178723 2.15995e+07
0.000180282 2.03527e+07
0.000181376 2.01526e+07
0.000182743 1.86669e+07
0.000184551 1.83853e+07
0.000185977 1.78448e+07
0.000187589 1.70397e+07
0.000188953 1.53837e+07
0.000190863 1.57053e+07
0.000192158 1.52627e+07
0.000193916 1.47826e+07
0.000195504 1.33797e+07
0.000197181 1.34876e+07
0.000198613 1.22638e+07
0.000200148 1.15515e+07
0.000201721 1.11429e+07
0.000203587 1.10194e+07
0.00020541 1.02757e+07
0.000207172 9.58208e+06
0.000208922 9.75855e+06
0.000210371 9.00585e+06
0.000212078 8.60328e+06
0.000214191 8.12242e+06
0.000215596 8.24218e+06
0.00021743 7.2537e+06
0.000219259 6.94822e+06
0.000221084 6.60389e+06
0.00022283 6.34013e+06
0.000224493 6.35728e+06
0.000226376 5.67953e+06
0.000228421 5.67191e+06
0.000230288 5.65283e+06
0.000231928 5.16173e+06
0.00023399 4.89112e+06
0.000236053 4.57624e+06
0.000237805 4.7263e+06
0.000239779 4.27494e+06
0.000241744 4.39427e+06
0.000243673 4.00085e+06
0.000245757 3.9787e+06
0.000247871 3.80258e+06
0.00024984 3.65509e+06
0.000251597 3.50991e+06
0.000253565 3.35555e+06
0.000256 3.21059e+06
0.000258364 3.0828e+06
0.000260499 3.06552e+06
0.000262417 2.80325e+06
0.000264367 2.65383e+06
0.000266592 2.45372e+06
0.000268987 2.31795e+06
0.000271108 2.36844e+06
0.000273349 2.18821e+06
0.000275546 2.06717e+06
0.000277706 1.96172e+06
0.000280204 1.84658e+06
0.000282696 1.89335e+06
0.000284955 1.82823e+06
0.000287036 1.62508e+06
0.000289296 1.57337e+06
0.000291909 1.56211e+06
0.000294404 1.51689e+06
0.000296654 1.46131e+06
0.000299082 1.45961e+06
0.000301403 1.35856e+06
0.000303861 1.25212e+06
0.000306413 1.20329e+06
0.000308749 1.12461e+06
0.000311525 1.10246e+06
0.000313955 1.03764e+06
0.000316471 1.02314e+06
0.000319321 1.01449e+06
0.000322008 923861
0.000324666 869150
0.00032719 822270
0.000329929 799334
0.000332507 777438
0.000335216 763466
0.000337986 700193
0.000340927 661502
0.000343668 637479
0.000346605 602145
0.000349164 592689
0.000352165 547348
0.000355188 527724
0.000358008 521368
0.000361098 482878
0.000363971 466654
0.00036707 424466
0.000369977 425729
0.000373107 403081
0.000376085 397694
0.000379074 375317
0.000382228 356564
0.00038541 342805
0.000388542 326253
0.000391757 311415
0.000394981 298197
0.000398111 272936
0.000401474 264799
0.000404717 252098
0.000407935 245914
0.000411525 240800
0.000414686 231570
0.000418155 220587
0.00042175 207444
0.000425291 193802
0.000428636 187205
0.000432208 177750
0.0004357 173038
0.000439332 164609
0.000442787 156215
0.000446449 150417
0.000450291 142793
0.000453801 142048
0.000457447 132167
0.000461323 124510
0.000465014 119646
0.000468866 114605
0.000472806 107454
0.00047678 104903
0.000480624 100327
0.000484555 95798.7
0.000488474 92710
0.000492396 86294.4
0.000496538 84655.8
0.000500678 80028.5
0.000504761 76766.2
0.000508767 73098.8
0.000512959 70998.2
0.000517253 66825.4
0.000521544 62250.1
0.000525774 61455.6
0.000530168 57991.6
0.000534431 55067.3
0.00053878 52902.2
0.000543223 50388.1
0.000547788 49176.8
0.000552163 46432.5
0.000556755 42890.4
0.000561463 41501.5
0.000566064 40445.7
0.000570587 38108.1
0.000575277 35776.4
0.000580056 34913.3
0.000584753 34000.6
0.000589576 32527.1
0.000594327 30815
0.000599226 29328.7
0.000604166 27934.1
0.000609275 25902
0.000614265 26135
0.000619191 24387.9
0.000624415 23480.3
0.000629458 22369.3
0.00063466 21325.9
0.00063975 20328
0.00064489 19431.2
0.000650271 18645.1
0.000655619 17621.8
0.000661178 16828
0.000666601 16032.9
0.00067198 15263.6
0.000677465 14752.5
0.000682952 14261.2
0.000688602 13456.8
0.000694365 12898.4
0.000699968 12361.5
0.00070566 11685.5
0.000711633 11535
0.000717351 10730.4
0.000723301 10075.8
0.000729237 9862.25
0.00073526 9320.9
0.000741287 9074.02
0.000747431 8570.58
0.000753573 8201.74
0.000759705 7862.77
0.000765936 7436.73
0.000772341 7208.79
0.000778615 6890.19
0.000785031 6442.82
0.000791493 6105.34
0.000797999 5919.16
0.000804499 5620.18
0.000811074 5421.22
0.000817707 5203.02
0.000824546 4960.61
0.000831271 4789.21
0.000838002 4544.66
0.000844949 4353.03
0.000851929 4154.55
0.000858954 3905.32
0.000865919 3771.55
0.000873072 3595.5
0.000880195 3460.08
0.000887393 3226.91
0.000894783 3131.03
0.000902097 3000.96
0.00090951 2831.66
0.000916929 2743.65
0.000924423 2624.49
0.00093206 2503.18
0.000939669 2380.82
0.000947384 2300.6
0.000955222 2207.07
0.000963012 2085.12
0.00097096 2020.73
0.000978975 1922.88
0.000986946 1830.24
0.000995044 1768.6
0.00100317 1681.92
0.00101134 1588.58
0.00101966 1522.98
0.00102811 1464.16
0.0010366 1394.02
0.00104515 1339.08
0.00105367 1269.98
0.0010623 1215.81
0.00107099 1173.54
0.00107984 1102.72
0.00108877 1060.8
0.00109754 1019.46
0.00110658 976.096
0.00111585 918.31
0.001125 884.633
0.00113422 843.369
0.00114355 821.695
0.00115284 773.51
0.0011623 742.236
0.00117183 713.967
0.00118147 680.257
0.00119124 646.522
0.00120099 623.87
0.00121082 592.077
0.00122077 570.121
0.00123083 545.892
0.00124092 520.194
0.00125109 496.675
0.00126141 480.322
0.00127177 455.489
0.00128216 433.739
0.00129272 413.775
0.00130337 398.996
0.00131407 383.189
0.00132486 364.089
0.00133574 349.205
0.00134668 333.936
0.0013577 321.628
0.0013688 305.583
0.00138009 291.308
0.00139144 280.193
0.00140285 268.01
0.00141438 256.726
0.0014259 244.163
0.00143763 234.563
0.00144946 222.388
0.00146138 215.044
0.00147343 202.832
0.00148553 196.739
0.00149773 187.869
0.00150998 178.688
0.00152238 171.835
0.00153493 163.925
0.00154754 157.551
0.0015602 150.231
0.00157297 144.025
0.00158593 137.027
0.00159901 131.42
0.00161212 126.478
0.00162533 120.701
0.00163867 115.07
0.00165213 110.394
0.00166568 105.835
0.00167936 100.843
0.00169314 97.1595
0.00170706 92.8441
0.00172108 88.6553
0.00173519 84.7308
0.00174947 81.22
0.00176388 77.6642
0.00177833 74.5358
0.00179289 71.5221
0.00180762 67.9526
0.0018225 65.203
0.00183749 62.4459
0.00185259 59.9583
0.00186776 57.2713
0.00188308 54.9922
0.00189858 52.5513
0.00191415 50.4637
0.00192986 48.2145
0.00194568 46.1112
0.00196164 44.0872
0.00197781 42.3137
0.00199407 40.353
0.00201041 38.8396
0.0020269 37.0736
0.00204357 35.6217
0.00206031 34.1097
0.00207723 32.6184
0.00209433 31.1202
0.00211151 29.9139
0.00212883 28.6209
0.00214631 27.3458
0.00216395 26.1626
0.00218171 25.0749
0.00219964 24.0023
0.0022177 23.0089
0.00223591 22.0305
0.00225426 21.0833
0.00227273 20.2935
0.00229144 19.3988
0.00231024 18.5448
0.00232919 17.7462
0.00234835 17.0775
0.00236765 16.3434
0.00238708 15.6048
0.00240668 14.9569
0.00242645 14.3306
0.00244635 13.7158
0.00246642 13.1225
0.00248668 12.6288
0.00250712 12.0604
0.0025277 11.5613
0.00254846 11.0783
0.00256938 10.6013
0.00259045 10.1557
0.00261172 9.73213
0.00263319 9.33893
0.00265482 8.95117
0.0026766 8.56096
0.00269857 8.20378
0.00272074 7.84357
0.00274311 7.50721
0.00276562 7.20295
0.00278831 6.90394
0.00281122 6.62253
0.00283428 6.33436
0.00285753 6.06654
0.00288102 5.81915
0.00290469 5.58519
0.00292852 5.33554
0.00295255 5.12219
0.00297682 4.90967
0.00300132 4.6993
0.00302595 4.5039
0.00305077 4.31709
0.00307582 4.12528
0.00310109 3.96442
0.00312652 3.78811
0.00315219 3.63144
0.00317808 3.47797
0.00320418 3.34349
0.00323049 3.19309
0.003257 3.05954
0.00328375 2.9409
0.00331073 2.80761
0.00333793 2.69304
0.00336532 2.57648
0.00339295 2.47171
0.00342081 2.36915
0.0034489 2.26737
0.00347724 2.17405
0.00350579 2.08102
0.00353457 1.99527
0.00356356 1.90802
0.0035928 1.82917
0.0036223 1.75414
0.00365206 1.68036
0.00368208 1.60675
0.00371232 1.54298
0.0037428 1.47615
0.00377353 1.4141
0.00380451 1.35301
0.00383574 1.29783
0.00386724 1.2441
0.00389899 1.19032
0.003931 1.1423
0.0039633 1.09441
0.00399584 1.04706
0.00402865 1.00312
0.00406173 0.960569
0.00409507 0.920345
0.00412871 0.881996
0.00416262 0.844392
0.0041968 0.808085
0.00423127 0.775043
0.004266 0.74118
0.00430101 0.710959
0.00433633 0.68098
0.00437195 0.65157
0.00440786 0.624355
0.00444405 0.597738
0.00448053 0.572038
0.00451731 0.548355
0.0045544 0.52509
0.00459181 0.50303
0.00462953 0.482377
0.00466752 0.46161
0.00470583 0.44195
0.00474448 0.42272
0.00478347 0.404814
0.00482275 0.387782
0.00486234 0.37116
0.00490225 0.355615
0.0049425 0.340408
0.0049831 0.326225
0.00502401 0.312173
0.00506526 0.299014
0.00510687 0.286407
0.00514879 0.274414
0.00519107 0.262658
0.0052337 0.251517
0.00527667 0.240456
0.00532001 0.230445
0.00536367 0.220586
0.00540771 0.211166
0.00545214 0.202246
0.0054969 0.193879
0.00554203 0.185552
0.00558753 0.177651
0.00563342 0.170045
0.00567967 0.16285
0.00572631 0.155829
0.00577334 0.149249
0.00582073 0.142868
0.00586853 0.136803
0.00591672 0.131045
0.0059653 0.12539
0.00601426 0.120131
0.00606365 0.11503
0.00611346 0.110143
0.00616366 0.105507
0.00621427 0.100959
0.00626529 0.0967254
0.00631673 0.0925871
0.00636859 0.0886742
0.00642088 0.0849104
0.00647362 0.0813658
0.00652677 0.0779158
0.00658036 0.0745593
0.0066344 0.0714095
0.00668886 0.0684507
0.00674379 0.0655459
0.00679918 0.0627471
0.00685501 0.060133
0.00691131 0.0575402
0.00696806 0.0551353
0.00702526 0.0528115
0.00708294 0.0506032
0.00714111 0.0484946
0.00719973 0.0464601
0.00725885 0.044473
0.00731846 0.0426226
0.00737856 0.0408307
0.00743915 0.0391048
0.00750022 0.037495
0.0075618 0.0359232
0.0076239 0.0343992
0.00768649 0.0329748
0.00774961 0.0315941
0.00781325 0.0302876
0.00787742 0.0290227
0.0079421 0.0278127
0.0080073 0.0266566
0.00807306 0.0255441
0.00813935 0.0244878
0.00820618 0.0234639
0.00827356 0.0224914
0.0083415 0.0215753
0.00840998 0.0206804
0.00847904 0.0198233
0.00854867 0.0190188
0.00861886 0.0182489
0.00868963 0.0174935
0.00876099 0.0167853
0.00883292 0.0161101
0.00890544 0.0154547
0.00897858 0.0148327
0.00905231 0.0142472
0.00912663 0.0136709
0.00920156 0.0131321
0.00927713 0.0126112
0.0093533 0.0121218
0.0094301 0.0116493
0.00950753 0.0112062
0.0095856 0.0107725
0.00966431 0.0103682
0.00974367 0.00997499
0.00982367 0.00960439
0.00990433 0.00925704
0.00998566 0.0089178
0.0100677 0.00860043
0.0101503 0.00830136
0.0102337 0.00801374
0.0103177 0.00774218
0.0104024 0.00748664
0.0104878 0.00724486
0.010574 0.00701993
0.0106608 0.00680203
0.0107483 0.00659953
0.0108366 0.00641148
0.0109256 0.00623366
0.0110152 0.00606771
0.0111055 0.00582827
0.0111967 0.00556537
0.0112886 0.005321
0.0113813 0.00509186
0.0114748 0.00487772
0.011569 0.0046793
0.011664 0.00449012
0.0117598 0.00431462
0.0118563 0.00414934
0.0119537 0.00398935
0.0120518 0.00384063
0.0121508 0.00370005
0.0122505 0.00356608
0.0123511 0.00344025
0.0124525 0.00331963
0.0125548 0.0032049
0.0126579 0.00309704
0.0127618 0.00299302
0.0128666 0.00289552
0.0129722 0.0028018
0.0130787 0.00271504
0.0131861 0.00263147
0.0132944 0.00255216
0.0134035 0.00247744
0.0135136 0.00240642
0.0136245 0.00234018
0.0137363 0.00227806
0.0138491 0.00221871
0.0139628 0.00216296
0.0140774 0.00211219
0.014193 0.0020645
0.0143095 0.00201784
0.014427 0.00197617
0.0145454 0.00193595
0.0146648 0.00189909
0.0147852 0.00186348
0.0149065 0.00182964
0.0150288 0.00179698
0.0151522 0.00176161
0.0152765 0.0017243
0.0154018 0.00168111
0.0155281 0.00162736
0.0156556 0.0015623
0.0157843 0.00151292
0.0159139 0.00147186
0.0160445 0.00143837
0.0161763 0.00140791
0.0163091 0.00138171
0.0164429 0.00135991
0.0165779 0.00134094
0.0167139 0.00132865
0.0168511 0.00131732
0.0169894 0.00131091
0.0171288 0.00130785
0.0172693 0.00130952
0.0174109 0.00131331
0.0175537 0.00132775
0.0176976 0.00134463
0.0178426 0.0013652
0.0179887 0.00139396
0.018136 0.00143156
0.0182842 0.00147348
0.0184332 0.00152398
0.0185832 0.00159201
0.0187336 0.00167039
0.0188802 0.00176479
0.0190113 0.00183957
0.0191299 0.00119908