# k P_nu(k)
# a = 0.373189
# nbins = 695
1.22718e-05 6.29708e+11
1.7355e-05 3.64091e+11
2.12555e-05 2.38119e+11
2.45437e-05 1.64937e+11
2.74407e-05 1.2071e+11
3.00598e-05 9.22541e+10
3.471e-05 5.98194e+10
3.68155e-05 4.74557e+10
3.8807e-05 3.8183e+10
4.07011e-05 3.36433e+10
4.25109e-05 2.83866e+10
4.42468e-05 2.53448e+10
4.5917e-05 2.13184e+10
4.90874e-05 1.81877e+10
5.05981e-05 1.59091e+10
5.2065e-05 1.49723e+10
5.34917e-05 1.27979e+10
5.48814e-05 1.19937e+10
5.62367e-05 1.11612e+10
5.75601e-05 1.07411e+10
6.01195e-05 8.5321e+09
6.13592e-05 8.25822e+09
6.25744e-05 7.51806e+09
6.37664e-05 7.01804e+09
6.60859e-05 6.28228e+09
6.72157e-05 5.85039e+09
6.942e-05 5.65631e+09
7.04964e-05 4.98535e+09
7.15565e-05 4.337e+09
7.26012e-05 4.51453e+09
7.36311e-05 4.0797e+09
7.46467e-05 3.53961e+09
7.56487e-05 3.74591e+09
7.7614e-05 3.05363e+09
7.85782e-05 3.08143e+09
7.95307e-05 2.75712e+09
8.04719e-05 2.47172e+09
8.14022e-05 2.54825e+09
8.2322e-05 2.28691e+09
8.32317e-05 2.26765e+09
8.50218e-05 2.0747e+09
8.59029e-05 1.977e+09
8.67751e-05 1.85552e+09
8.76385e-05 1.71314e+09
8.84935e-05 1.95784e+09
8.93404e-05 1.72825e+09
9.01793e-05 1.56053e+09
9.18341e-05 1.50775e+09
9.26504e-05 1.29637e+09
9.34596e-05 1.31535e+09
9.42618e-05 1.19549e+09
9.58462e-05 1.13835e+09
9.66286e-05 1.09343e+09
9.81748e-05 1.05597e+09
9.89388e-05 1.02532e+09
9.9697e-05 9.51072e+08
0.000100947 8.4814e+08
0.000101938 9.07306e+08
0.000102674 8.66e+08
0.00010413 8.39567e+08
0.000104851 7.97155e+08
0.000105793 7.37121e+08
0.000106983 6.96026e+08
0.000107685 7.20569e+08
0.000108382 7.28652e+08
0.000109763 5.75851e+08
0.000110447 6.45231e+08
0.000111126 5.62108e+08
0.00011207 5.8289e+08
0.000113141 5.19139e+08
0.000113804 5.69627e+08
0.00011512 5.01402e+08
0.000115772 5.16519e+08
0.000116605 4.8744e+08
0.000118768 4.60437e+08
0.000120655 4.63122e+08
0.000121732 4.08433e+08
0.000122718 3.8912e+08
0.000123466 3.87951e+08
0.000125149 3.45847e+08
0.000125749 3.76161e+08
0.000126644 3.58673e+08
0.000127941 3.30324e+08
0.000128708 3.58526e+08
0.000130739 2.85066e+08
0.000131943 2.89429e+08
0.000132953 2.9327e+08
0.000134431 2.72902e+08
0.000135328 2.73077e+08
0.000136101 2.29253e+08
0.000137477 2.3216e+08
0.00013884 1.8308e+08
0.000139516 2.25963e+08
0.000140611 2.10203e+08
0.000141939 1.94582e+08
0.000143463 1.71328e+08
0.000144385 1.96026e+08
0.000145548 1.72322e+08
0.000146631 1.52265e+08
0.000148112 1.63501e+08
0.00014952 1.47288e+08
0.000150299 1.48074e+08
0.000151832 1.26716e+08
0.000152783 1.40149e+08
0.000154045 1.34721e+08
0.000155658 1.15441e+08
0.00015665 1.16646e+08
0.0001579 1.03701e+08
0.000159354 1.06174e+08
0.000160279 1.09755e+08
0.000161626 9.76443e+07
0.000163463 9.91918e+07
0.000164644 9.22974e+07
0.000165783 9.06549e+07
0.000167197 8.52039e+07
0.000168799 8.25402e+07
0.000170423 8.4141e+07
0.000171157 7.45611e+07
0.000172744 7.12799e+07
0.000174349 6.93803e+07
0.00017592 6.48071e+07
0.000177497 6.21114e+07
0.000178723 6.37999e+07
0.000180282 6.00632e+07
0.000181376 5.98948e+07
0.000182743 5.46251e+07
0.000184551 5.44359e+07
0.000185977 5.28683e+07
0.000187589 5.0311e+07
0.000188953 4.52037e+07
0.000190863 4.67591e+07
0.000192158 4.54679e+07
0.000193916 4.41623e+07
0.000195504 3.97006e+07
0.000197181 4.06337e+07
0.000198613 3.62138e+07
0.000200148 3.41302e+07
0.000201721 3.29629e+07
0.000203587 3.30868e+07
0.00020541 3.06439e+07
0.000207172 2.86439e+07
0.000208922 2.9782e+07
0.000210371 2.72657e+07
0.000212078 2.59311e+07
0.000214191 2.4287e+07
0.000215596 2.50458e+07
0.00021743 2.15766e+07
0.000219259 2.0849e+07
0.000221084 1.98653e+07
0.00022283 1.88691e+07
0.000224493 1.90965e+07
0.000226376 1.70786e+07
0.000228421 1.70668e+07
0.000230288 1.7181e+07
0.000231928 1.54102e+07
0.00023399 1.47957e+07
0.000236053 1.36204e+07
0.000237805 1.43445e+07
0.000239779 1.28313e+07
0.000241744 1.34566e+07
0.000243673 1.20197e+07
0.000245757 1.21059e+07
0.000247871 1.15462e+07
0.00024984 1.10564e+07
0.000251597 1.07238e+07
0.000253565 1.02801e+07
0.000256 9.93326e+06
0.000258364 9.4282e+06
0.000260499 9.55426e+06
0.000262417 8.73319e+06
0.000264367 8.17093e+06
0.000266592 7.43308e+06
0.000268987 6.95333e+06
0.000271108 7.34018e+06
0.000273349 6.73326e+06
0.000275546 6.42972e+06
0.000277706 6.00259e+06
0.000280204 5.66037e+06
0.000282696 5.89016e+06
0.000284955 5.76002e+06
0.000287036 5.03356e+06
0.000289296 4.89591e+06
0.000291909 4.89009e+06
0.000294404 4.72811e+06
0.000296654 4.58945e+06
0.000299082 4.60955e+06
0.000301403 4.32618e+06
0.000303861 3.92651e+06
0.000306413 3.77163e+06
0.000308749 3.52214e+06
0.000311525 3.46836e+06
0.000313955 3.22639e+06
0.000316471 3.2225e+06
0.000319321 3.22e+06
0.000322008 2.91391e+06
0.000324666 2.72571e+06
0.00032719 2.60706e+06
0.000329929 2.53297e+06
0.000332507 2.44467e+06
0.000335216 2.44695e+06
0.000337986 2.21272e+06
0.000340927 2.09937e+06
0.000343668 2.04809e+06
0.000346605 1.92734e+06
0.000349164 1.89944e+06
0.000352165 1.7565e+06
0.000355188 1.70712e+06
0.000358008 1.66757e+06
0.000361098 1.53166e+06
0.000363971 1.51404e+06
0.00036707 1.36716e+06
0.000369977 1.36664e+06
0.000373107 1.30775e+06
0.000376085 1.31097e+06
0.000379074 1.23247e+06
0.000382228 1.17361e+06
0.00038541 1.11114e+06
0.000388542 1.06148e+06
0.000391757 1.0211e+06
0.000394981 968078
0.000398111 895074
0.000401474 867001
0.000404717 832775
0.000407935 808531
0.000411525 797782
0.000414686 758708
0.000418155 723722
0.00042175 681118
0.000425291 644521
0.000428636 622081
0.000432208 585747
0.0004357 576909
0.000439332 548999
0.000442787 522401
0.000446449 506669
0.000450291 478171
0.000453801 479568
0.000457447 445108
0.000461323 419532
0.000465014 406404
0.000468866 385011
0.000472806 367888
0.00047678 353161
0.000480624 342615
0.000484555 325689
0.000488474 318921
0.000492396 294100
0.000496538 287971
0.000500678 273658
0.000504761 263353
0.000508767 250906
0.000512959 246421
0.000517253 227487
0.000521544 214714
0.000525774 212054
0.000530168 202049
0.000534431 190586
0.00053878 187027
0.000543223 176482
0.000547788 171787
0.000552163 163329
0.000556755 148602
0.000561463 147509
0.000566064 140301
0.000570587 133257
0.000575277 127555
0.000580056 123971
0.000584753 120766
0.000589576 115727
0.000594327 109424
0.000599226 106335
0.000604166 100562
0.000609275 93728.7
0.000614265 93136.3
0.000619191 87210.8
0.000624415 84795.2
0.000629458 80289.2
0.00063466 77530.4
0.00063975 74420.6
0.00064489 70492.6
0.000650271 68080.7
0.000655619 64855.9
0.000661178 61410.5
0.000666601 58306.5
0.00067198 55518
0.000677465 54429.5
0.000682952 51813.2
0.000688602 49830.2
0.000694365 47453.2
0.000699968 46008.6
0.00070566 43812.8
0.000711633 42979.5
0.000717351 39956.6
0.000723301 38169.8
0.000729237 36817.8
0.00073526 35281.7
0.000741287 34313.1
0.000747431 32555.9
0.000753573 31033.5
0.000759705 29771.7
0.000765936 28411
0.000772341 27445
0.000778615 26200.6
0.000785031 24530.5
0.000791493 23729.9
0.000797999 22754.2
0.000804499 21520.4
0.000811074 21072.5
0.000817707 19872.7
0.000824546 19207.9
0.000831271 18581.4
0.000838002 17768.7
0.000844949 17016.4
0.000851929 16184.1
0.000858954 15490.9
0.000865919 14862.3
0.000873072 14136.7
0.000880195 13600.3
0.000887393 12808.8
0.000894783 12368.7
0.000902097 11895.1
0.00090951 11364.6
0.000916929 10903.8
0.000924423 10530.1
0.00093206 10122.8
0.000939669 9659.84
0.000947384 9297.34
0.000955222 8870.2
0.000963012 8448.12
0.00097096 8144.31
0.000978975 7828.91
0.000986946 7472.25
0.000995044 7177.73
0.00100317 6890.3
0.00101134 6582.96
0.00101966 6303.95
0.00102811 6088.05
0.0010366 5741.98
0.00104515 5571.19
0.00105367 5315.42
0.0010623 5074.16
0.00107099 4858.68
0.00107984 4646.55
0.00108877 4462.81
0.00109754 4299.33
0.00110658 4142.6
0.00111585 3888.28
0.001125 3768.21
0.00113422 3625.86
0.00114355 3513.52
0.00115284 3308.6
0.0011623 3182.77
0.00117183 3028.97
0.00118147 2923.96
0.00119124 2783.58
0.00120099 2692.52
0.00121082 2579.05
0.00122077 2488.1
0.00123083 2367.6
0.00124092 2262.01
0.00125109 2186.85
0.00126141 2089.91
0.00127177 1999.82
0.00128216 1912.6
0.00129272 1850.25
0.00130337 1758.68
0.00131407 1697.98
0.00132486 1625.76
0.00133574 1552.21
0.00134668 1479.12
0.0013577 1436.7
0.0013688 1372.88
0.00138009 1307.58
0.00139144 1268.22
0.00140285 1206.73
0.00141438 1163.35
0.0014259 1115.59
0.00143763 1065.82
0.00144946 1021.12
0.00146138 985.271
0.00147343 935.412
0.00148553 899.761
0.00149773 864.556
0.00150998 828.344
0.00152238 796.442
0.00153493 763.712
0.00154754 733.612
0.0015602 699.799
0.00157297 673.769
0.00158593 643.53
0.00159901 616.565
0.00161212 593.644
0.00162533 569.981
0.00163867 544.068
0.00165213 525.754
0.00166568 501.74
0.00167936 482.849
0.00169314 464.142
0.00170706 443.408
0.00172108 425.229
0.00173519 409.63
0.00174947 392.846
0.00176388 377.279
0.00177833 360.345
0.00179289 347.067
0.00180762 331.839
0.0018225 315.862
0.00183749 304.856
0.00185259 293.413
0.00186776 280.837
0.00188308 268.806
0.00189858 258.649
0.00191415 247.744
0.00192986 238.127
0.00194568 227.908
0.00196164 217.526
0.00197781 209.845
0.00199407 200.917
0.00201041 192.696
0.0020269 184.591
0.00204357 177.041
0.00206031 170.355
0.00207723 163.369
0.00209433 157.191
0.00211151 150.398
0.00212883 144.261
0.00214631 138.099
0.00216395 132.851
0.00218171 127.195
0.00219964 122.095
0.0022177 116.925
0.00223591 112.36
0.00225426 107.622
0.00227273 103.215
0.00229144 98.7783
0.00231024 94.9946
0.00232919 91.0449
0.00234835 87.3175
0.00236765 83.8325
0.00238708 80.5019
0.00240668 76.9575
0.00242645 74.0736
0.00244635 70.7871
0.00246642 67.9394
0.00248668 65.0305
0.00250712 62.3734
0.0025277 59.9407
0.00254846 57.2671
0.00256938 54.8599
0.00259045 52.7904
0.00261172 50.5435
0.00263319 48.4328
0.00265482 46.4051
0.0026766 44.6208
0.00269857 42.7242
0.00272074 40.8389
0.00274311 39.2189
0.00276562 37.6167
0.00278831 36.0405
0.00281122 34.5312
0.00283428 33.1892
0.00285753 31.7636
0.00288102 30.409
0.00290469 29.1208
0.00292852 28.0062
0.00295255 26.7995
0.00297682 25.6901
0.00300132 24.6085
0.00302595 23.6059
0.00305077 22.6072
0.00307582 21.5979
0.00310109 20.7233
0.00312652 19.8649
0.00315219 19.0204
0.00317808 18.2088
0.00320418 17.463
0.00323049 16.6972
0.003257 16.011
0.00328375 15.3267
0.00331073 14.7107
0.00333793 14.0727
0.00336532 13.4822
0.00339295 12.9056
0.00342081 12.3794
0.0034489 11.8437
0.00347724 11.3362
0.00350579 10.863
0.00353457 10.4106
0.00356356 9.96682
0.0035928 9.53961
0.0036223 9.12233
0.00365206 8.73954
0.00368208 8.36138
0.00371232 8.007
0.0037428 7.67445
0.00377353 7.32981
0.00380451 7.0245
0.00383574 6.71981
0.00386724 6.43128
0.00389899 6.16195
0.003931 5.90145
0.0039633 5.65023
0.00399584 5.39568
0.00402865 5.16899
0.00406173 4.94206
0.00409507 4.72752
0.00412871 4.5243
0.00416262 4.32491
0.0041968 4.13934
0.00423127 3.96126
0.004266 3.78825
0.00430101 3.62062
0.00433633 3.46511
0.00437195 3.31134
0.00440786 3.17001
0.00444405 3.03213
0.00448053 2.89915
0.00451731 2.77356
0.0045544 2.65041
0.00459181 2.53461
0.00462953 2.42521
0.00466752 2.31677
0.00470583 2.21501
0.00474448 2.11762
0.00478347 2.02372
0.00482275 1.93412
0.00486234 1.84847
0.00490225 1.76796
0.0049425 1.69
0.0049831 1.61532
0.00502401 1.54365
0.00506526 1.47667
0.00510687 1.4091
0.00514879 1.34709
0.00519107 1.28831
0.0052337 1.22985
0.00527667 1.1749
0.00532001 1.12354
0.00536367 1.073
0.00540771 1.02471
0.00545214 0.97929
0.0054969 0.93489
0.00554203 0.893615
0.00558753 0.853783
0.00563342 0.815295
0.00567967 0.779559
0.00572631 0.743823
0.00577334 0.710218
0.00582073 0.678103
0.00586853 0.647598
0.00591672 0.617933
0.0059653 0.590836
0.00601426 0.564501
0.00606365 0.538421
0.00611346 0.514629
0.00616366 0.491669
0.00621427 0.469336
0.00626529 0.447809
0.00631673 0.427645
0.00636859 0.408423
0.00642088 0.389824
0.00647362 0.372204
0.00652677 0.355357
0.00658036 0.339168
0.0066344 0.323756
0.00668886 0.309095
0.00674379 0.294926
0.00679918 0.281546
0.00685501 0.268722
0.00691131 0.256617
0.00696806 0.244941
0.00702526 0.233929
0.00708294 0.22304
0.00714111 0.213074
0.00719973 0.20333
0.00725885 0.194151
0.00731846 0.185272
0.00737856 0.176814
0.00743915 0.16875
0.00750022 0.160997
0.0075618 0.153689
0.0076239 0.146825
0.00768649 0.140054
0.00774961 0.133708
0.00781325 0.12768
0.00787742 0.121867
0.0079421 0.116281
0.0080073 0.111018
0.00807306 0.105998
0.00813935 0.101193
0.00820618 0.0966257
0.00827356 0.0922603
0.0083415 0.0880757
0.00840998 0.0840956
0.00847904 0.0803101
0.00854867 0.0767324
0.00861886 0.073294
0.00868963 0.0700143
0.00876099 0.0668848
0.00883292 0.063933
0.00890544 0.061081
0.00897858 0.0584265
0.00905231 0.0558449
0.00912663 0.0533879
0.00920156 0.0510682
0.00927713 0.048841
0.0093533 0.0467483
0.0094301 0.044748
0.00950753 0.0428384
0.0095856 0.0410397
0.00966431 0.0393239
0.00974367 0.0376933
0.00982367 0.0361528
0.00990433 0.0346652
0.00998566 0.0332828
0.0100677 0.0319607
0.0101503 0.0307103
0.0102337 0.0295236
0.0103177 0.0284051
0.0104024 0.027363
0.0104878 0.0263741
0.010574 0.0254419
0.0106608 0.02456
0.0107483 0.0237338
0.0108366 0.0229741
0.0109256 0.022254
0.0110152 0.0215793
0.0111055 0.0207385
0.0111967 0.0198458
0.0112886 0.0189872
0.0113813 0.0181764
0.0114748 0.0174073
0.011569 0.0166751
0.011664 0.0159754
0.0117598 0.0153157
0.0118563 0.0146826
0.0119537 0.0140951
0.0120518 0.0135207
0.0121508 0.0129751
0.0122505 0.0124618
0.0123511 0.0119748
0.0124525 0.0115103
0.0125548 0.0110641
0.0126579 0.0106498
0.0127618 0.0102479
0.0128666 0.00987245
0.0129722 0.00951576
0.0130787 0.00917384
0.0131861 0.00885113
0.0132944 0.0085498
0.0134035 0.00826319
0.0135136 0.00799203
0.0136245 0.0077389
0.0137363 0.00749955
0.0138491 0.00727288
0.0139628 0.00706307
0.0140774 0.00686645
0.014193 0.00668161
0.0143095 0.00651239
0.014427 0.00635024
0.0145454 0.00619861
0.0146648 0.00606224
0.0147852 0.00593035
0.0149065 0.00579996
0.0150288 0.00567347
0.0151522 0.00554908
0.0152765 0.00541395
0.0154018 0.00526772
0.0155281 0.00508266
0.0156556 0.0048672
0.0157843 0.00469466
0.0159139 0.00454857
0.0160445 0.00442355
0.0161763 0.00431197
0.0163091 0.00421133
0.0164429 0.00412322
0.0165779 0.00405015
0.0167139 0.00398555
0.0168511 0.0039367
0.0169894 0.00390013
0.0171288 0.00387816
0.0172693 0.00386048
0.0174109 0.00386347
0.0175537 0.00389033
0.0176976 0.00391825
0.0178426 0.00397473
0.0179887 0.0040482
0.018136 0.0041383
0.0182842 0.00426019
0.0184332 0.00442222
0.0185832 0.00459474
0.0187336 0.00479441
0.0188802 0.00506813
0.0190113 0.00530502
0.0191299 0.00238244