# k P_nu(k)
# a = 1
# nbins = 695
1.22718e-05 5.05078e+12
1.7355e-05 3.28639e+12
2.12555e-05 2.3111e+12
2.45437e-05 1.66471e+12
2.74407e-05 1.26327e+12
3.00598e-05 9.99617e+11
3.471e-05 7.01112e+11
3.68155e-05 5.50016e+11
3.8807e-05 4.3611e+11
4.07011e-05 4.05207e+11
4.25109e-05 3.40188e+11
4.42468e-05 3.16512e+11
4.5917e-05 2.59876e+11
4.90874e-05 2.42675e+11
5.05981e-05 2.07836e+11
5.2065e-05 2.05249e+11
5.34917e-05 1.66429e+11
5.48814e-05 1.61259e+11
5.62367e-05 1.52714e+11
5.75601e-05 1.54482e+11
6.01195e-05 1.14939e+11
6.13592e-05 1.17555e+11
6.25744e-05 1.04103e+11
6.37664e-05 9.8666e+10
6.60859e-05 9.06409e+10
6.72157e-05 8.44508e+10
6.942e-05 8.96689e+10
7.04964e-05 7.4771e+10
7.15565e-05 5.99895e+10
7.26012e-05 6.96964e+10
7.36311e-05 6.19103e+10
7.46467e-05 4.78236e+10
7.56487e-05 5.71471e+10
7.7614e-05 4.3519e+10
7.85782e-05 4.68046e+10
7.95307e-05 4.02392e+10
8.04719e-05 3.43463e+10
8.14022e-05 3.92456e+10
8.2322e-05 3.21675e+10
8.32317e-05 3.40086e+10
8.50218e-05 2.95356e+10
8.59029e-05 3.09942e+10
8.67751e-05 2.8572e+10
8.76385e-05 2.56763e+10
8.84935e-05 3.46006e+10
8.93404e-05 2.87073e+10
9.01793e-05 2.50498e+10
9.18341e-05 2.55846e+10
9.26504e-05 1.98282e+10
9.34596e-05 2.22019e+10
9.42618e-05 1.86907e+10
9.58462e-05 1.82313e+10
9.66286e-05 1.71648e+10
9.81748e-05 1.66974e+10
9.89388e-05 1.75343e+10
9.9697e-05 1.55355e+10
0.000100947 1.25617e+10
0.000101938 1.60375e+10
0.000102674 1.4961e+10
0.00010413 1.51872e+10
0.000104851 1.42699e+10
0.000105793 1.23649e+10
0.000106983 1.11287e+10
0.000107685 1.30287e+10
0.000108382 1.34076e+10
0.000109763 9.65902e+09
0.000110447 1.13282e+10
0.000111126 9.20585e+09
0.00011207 1.03883e+10
0.000113141 8.57719e+09
0.000113804 1.00921e+10
0.00011512 8.2756e+09
0.000115772 9.17409e+09
0.000116605 8.67547e+09
0.000118768 8.12424e+09
0.000120655 8.55138e+09
0.000121732 7.20208e+09
0.000122718 7.42569e+09
0.000123466 7.06554e+09
0.000125149 5.66914e+09
0.000125749 6.91651e+09
0.000126644 6.58219e+09
0.000127941 6.05178e+09
0.000128708 7.02681e+09
0.000130739 4.93749e+09
0.000131943 5.27629e+09
0.000132953 5.8046e+09
0.000134431 5.24261e+09
0.000135328 5.07116e+09
0.000136101 3.92586e+09
0.000137477 4.17684e+09
0.00013884 2.89642e+09
0.000139516 4.37007e+09
0.000140611 4.0549e+09
0.000141939 3.81246e+09
0.000143463 3.0982e+09
0.000144385 3.78936e+09
0.000145548 3.27538e+09
0.000146631 2.86777e+09
0.000148112 3.15122e+09
0.00014952 2.85682e+09
0.000150299 2.69798e+09
0.000151832 2.38189e+09
0.000152783 2.72259e+09
0.000154045 2.73861e+09
0.000155658 2.19414e+09
0.00015665 2.32964e+09
0.0001579 1.99799e+09
0.000159354 2.18334e+09
0.000160279 2.37393e+09
0.000161626 2.0436e+09
0.000163463 2.09247e+09
0.000164644 2.01499e+09
0.000165783 1.80245e+09
0.000167197 1.85829e+09
0.000168799 1.71764e+09
0.000170423 1.8627e+09
0.000171157 1.57349e+09
0.000172744 1.46423e+09
0.000174349 1.40972e+09
0.00017592 1.35461e+09
0.000177497 1.27119e+09
0.000178723 1.34549e+09
0.000180282 1.32181e+09
0.000181376 1.29108e+09
0.000182743 1.13031e+09
0.000184551 1.17395e+09
0.000185977 1.13355e+09
0.000187589 1.04462e+09
0.000188953 1.00082e+09
0.000190863 1.02828e+09
0.000192158 9.74739e+08
0.000193916 9.70321e+08
0.000195504 8.83147e+08
0.000197181 9.2228e+08
0.000198613 7.83105e+08
0.000200148 7.91605e+08
0.000201721 7.27092e+08
0.000203587 7.77462e+08
0.00020541 6.83976e+08
0.000207172 6.77688e+08
0.000208922 7.49556e+08
0.000210371 6.80564e+08
0.000212078 6.09875e+08
0.000214191 5.38661e+08
0.000215596 5.89411e+08
0.00021743 4.90447e+08
0.000219259 5.17911e+08
0.000221084 4.79214e+08
0.00022283 4.32953e+08
0.000224493 4.48541e+08
0.000226376 4.33304e+08
0.000228421 4.06186e+08
0.000230288 4.1532e+08
0.000231928 3.66224e+08
0.00023399 3.62501e+08
0.000236053 3.21178e+08
0.000237805 3.49309e+08
0.000239779 3.12795e+08
0.000241744 3.26352e+08
0.000243673 2.84506e+08
0.000245757 2.91893e+08
0.000247871 2.85178e+08
0.00024984 2.78422e+08
0.000251597 2.61403e+08
0.000253565 2.60641e+08
0.000256 2.69205e+08
0.000258364 2.35357e+08
0.000260499 2.51285e+08
0.000262417 2.41506e+08
0.000264367 2.1482e+08
0.000266592 1.91643e+08
0.000268987 1.83723e+08
0.000271108 1.95034e+08
0.000273349 1.79104e+08
0.000275546 1.81989e+08
0.000277706 1.60344e+08
0.000280204 1.57484e+08
0.000282696 1.64777e+08
0.000284955 1.62815e+08
0.000287036 1.46507e+08
0.000289296 1.40058e+08
0.000291909 1.33001e+08
0.000294404 1.27842e+08
0.000296654 1.3022e+08
0.000299082 1.30355e+08
0.000301403 1.24858e+08
0.000303861 1.1331e+08
0.000306413 1.02457e+08
0.000308749 1.04344e+08
0.000311525 1.04953e+08
0.000313955 9.54161e+07
0.000316471 9.52873e+07
0.000319321 9.40443e+07
0.000322008 8.29727e+07
0.000324666 8.15112e+07
0.00032719 7.82407e+07
0.000329929 7.76485e+07
0.000332507 7.26042e+07
0.000335216 7.23445e+07
0.000337986 6.84752e+07
0.000340927 6.71251e+07
0.000343668 6.31557e+07
0.000346605 6.19864e+07
0.000349164 5.77354e+07
0.000352165 5.67709e+07
0.000355188 5.38759e+07
0.000358008 5.19681e+07
0.000361098 4.89961e+07
0.000363971 4.89271e+07
0.00036707 4.75735e+07
0.000369977 4.42019e+07
0.000373107 4.27072e+07
0.000376085 4.5076e+07
0.000379074 4.01053e+07
0.000382228 4.00249e+07
0.00038541 3.82827e+07
0.000388542 3.72413e+07
0.000391757 3.37445e+07
0.000394981 3.33554e+07
0.000398111 3.26615e+07
0.000401474 3.1591e+07
0.000404717 3.04857e+07
0.000407935 2.9325e+07
0.000411525 2.76911e+07
0.000414686 2.56161e+07
0.000418155 2.55369e+07
0.00042175 2.43081e+07
0.000425291 2.31631e+07
0.000428636 2.24208e+07
0.000432208 2.14425e+07
0.0004357 2.10408e+07
0.000439332 2.03287e+07
0.000442787 1.95929e+07
0.000446449 1.93472e+07
0.000450291 1.78758e+07
0.000453801 1.81358e+07
0.000457447 1.67685e+07
0.000461323 1.64186e+07
0.000465014 1.54377e+07
0.000468866 1.49674e+07
0.000472806 1.48165e+07
0.00047678 1.43008e+07
0.000480624 1.35828e+07
0.000484555 1.32568e+07
0.000488474 1.30082e+07
0.000492396 1.20202e+07
0.000496538 1.17805e+07
0.000500678 1.1307e+07
0.000504761 1.09545e+07
0.000508767 1.01561e+07
0.000512959 9.94429e+06
0.000517253 9.48866e+06
0.000521544 9.27538e+06
0.000525774 8.93771e+06
0.000530168 8.6675e+06
0.000534431 8.41937e+06
0.00053878 8.13789e+06
0.000543223 7.80497e+06
0.000547788 7.55097e+06
0.000552163 7.26728e+06
0.000556755 6.91341e+06
0.000561463 6.67123e+06
0.000566064 6.39081e+06
0.000570587 6.10191e+06
0.000575277 5.88789e+06
0.000580056 5.81763e+06
0.000584753 5.54557e+06
0.000589576 5.31811e+06
0.000594327 5.21218e+06
0.000599226 5.05933e+06
0.000604166 4.71364e+06
0.000609275 4.65341e+06
0.000614265 4.40838e+06
0.000619191 4.25776e+06
0.000624415 4.13456e+06
0.000629458 3.97359e+06
0.00063466 3.87154e+06
0.00063975 3.68867e+06
0.00064489 3.52014e+06
0.000650271 3.48274e+06
0.000655619 3.33225e+06
0.000661178 3.13593e+06
0.000666601 3.00414e+06
0.00067198 2.99323e+06
0.000677465 2.83015e+06
0.000682952 2.73082e+06
0.000688602 2.65427e+06
0.000694365 2.49472e+06
0.000699968 2.39671e+06
0.00070566 2.34716e+06
0.000711633 2.29491e+06
0.000717351 2.19233e+06
0.000723301 2.12963e+06
0.000729237 1.99456e+06
0.00073526 1.92159e+06
0.000741287 1.87205e+06
0.000747431 1.79113e+06
0.000753573 1.73944e+06
0.000759705 1.66412e+06
0.000765936 1.62153e+06
0.000772341 1.56648e+06
0.000778615 1.51182e+06
0.000785031 1.44138e+06
0.000791493 1.37174e+06
0.000797999 1.31114e+06
0.000804499 1.29797e+06
0.000811074 1.24731e+06
0.000817707 1.19632e+06
0.000824546 1.15212e+06
0.000831271 1.10666e+06
0.000838002 1.07238e+06
0.000844949 1.0226e+06
0.000851929 999862
0.000858954 949181
0.000865919 927661
0.000873072 887500
0.000880195 857512
0.000887393 813421
0.000894783 788213
0.000902097 770114
0.00090951 727766
0.000916929 714172
0.000924423 682167
0.00093206 658809
0.000939669 626624
0.000947384 608082
0.000955222 582222
0.000963012 566608
0.00097096 542124
0.000978975 517280
0.000986946 497061
0.000995044 481326
0.00100317 464482
0.00101134 446613
0.00101966 429954
0.00102811 415838
0.0010366 398793
0.00104515 382144
0.00105367 367887
0.0010623 355695
0.00107099 341007
0.00107984 328314
0.00108877 316596
0.00109754 305537
0.00110658 295682
0.00111585 277079
0.001125 272262
0.00113422 262007
0.00114355 250034
0.00115284 240749
0.0011623 231439
0.00117183 222115
0.00118147 215700
0.00119124 206792
0.00120099 198663
0.00121082 189897
0.00122077 182862
0.00123083 175584
0.00124092 169845
0.00125109 163937
0.00126141 155575
0.00127177 150059
0.00128216 144034
0.00129272 138668
0.00130337 133140
0.00131407 129089
0.00132486 123556
0.00133574 118635
0.00134668 114317
0.0013577 109928
0.0013688 105087
0.00138009 101193
0.00139144 97894.5
0.00140285 94149.8
0.00141438 89545.3
0.0014259 85628.3
0.00143763 82751.5
0.00144946 79653.4
0.00146138 76449.4
0.00147343 73565.4
0.00148553 70713.6
0.00149773 67346.2
0.00150998 65117.4
0.00152238 62795.9
0.00153493 60188
0.00154754 57596.2
0.0015602 55475.6
0.00157297 53022.6
0.00158593 51020
0.00159901 49207.8
0.00161212 47000.7
0.00162533 45163.4
0.00163867 43300.3
0.00165213 41562.3
0.00166568 39815.5
0.00167936 38199.4
0.00169314 36695.3
0.00170706 35138
0.00172108 33605.4
0.00173519 32211.6
0.00174947 30943.9
0.00176388 29733.4
0.00177833 28505.2
0.00179289 27309
0.00180762 26153.6
0.0018225 25138
0.00183749 24059.1
0.00185259 23047.7
0.00186776 22000.3
0.00188308 21294.1
0.00189858 20338.8
0.00191415 19586.7
0.00192986 18717.1
0.00194568 17904.4
0.00196164 17203.8
0.00197781 16425.7
0.00199407 15764.7
0.00201041 15118.6
0.0020269 14510.8
0.00204357 13844.7
0.00206031 13287.7
0.00207723 12749.5
0.00209433 12176.9
0.00211151 11661.3
0.00212883 11211.4
0.00214631 10716.2
0.00216395 10251
0.00218171 9832.71
0.00219964 9424.21
0.0022177 9014.62
0.00223591 8657.68
0.00225426 8255.43
0.00227273 7905.63
0.00229144 7568.36
0.00231024 7235.83
0.00232919 6943.46
0.00234835 6641.84
0.00236765 6358.8
0.00238708 6073.18
0.00240668 5830.77
0.00242645 5554.14
0.00244635 5326.95
0.00246642 5094.44
0.00248668 4876.07
0.00250712 4679
0.0025277 4473.7
0.00254846 4279.97
0.00256938 4098.47
0.00259045 3916.49
0.00261172 3739.76
0.00263319 3575.69
0.00265482 3423.79
0.0026766 3276.52
0.00269857 3129.44
0.00272074 2995.48
0.00274311 2874.35
0.00276562 2741.99
0.00278831 2623.34
0.00281122 2508.91
0.00283428 2396.82
0.00285753 2296.12
0.00288102 2190.11
0.00290469 2099.04
0.00292852 2009.46
0.00295255 1917.93
0.00297682 1832.14
0.00300132 1751.32
0.00302595 1674.29
0.00305077 1600.75
0.00307582 1527.9
0.00310109 1460.82
0.00312652 1398.97
0.00315219 1336.88
0.00317808 1274.82
0.00320418 1217.81
0.00323049 1165.14
0.003257 1112.92
0.00328375 1061.64
0.00331073 1016.29
0.00333793 971.684
0.00336532 927.281
0.00339295 886.62
0.00342081 847.026
0.0034489 809.893
0.00347724 772.752
0.00350579 738.637
0.00353457 704.482
0.00356356 675.339
0.0035928 644.559
0.0036223 614.019
0.00365206 586.862
0.00368208 561.27
0.00371232 535.824
0.0037428 510.993
0.00377353 487.687
0.00380451 466.056
0.00383574 446.143
0.00386724 424.72
0.00389899 406.278
0.003931 387.845
0.0039633 370.685
0.00399584 353.932
0.00402865 338.052
0.00406173 322.579
0.00409507 307.56
0.00412871 293.731
0.00416262 280.46
0.0041968 267.865
0.00423127 255.675
0.004266 244.015
0.00430101 232.982
0.00433633 222.197
0.00437195 212.186
0.00440786 202.507
0.00444405 193.249
0.00448053 184.558
0.00451731 176.154
0.0045544 168.096
0.00459181 160.459
0.00462953 153.132
0.00466752 146.265
0.00470583 139.648
0.00474448 133.136
0.00478347 126.978
0.00482275 121.238
0.00486234 115.605
0.00490225 110.244
0.0049425 105.301
0.0049831 100.498
0.00502401 95.7958
0.00506526 91.3599
0.00510687 87.1613
0.00514879 83.1676
0.00519107 79.3752
0.0052337 75.7236
0.00527667 72.1621
0.00532001 68.911
0.00536367 65.7492
0.00540771 62.6938
0.00545214 59.8183
0.0054969 57.0379
0.00554203 54.4108
0.00558753 51.8967
0.00563342 49.508
0.00567967 47.2148
0.00572631 45.0619
0.00577334 42.9756
0.00582073 40.9891
0.00586853 39.0857
0.00591672 37.2999
0.0059653 35.5417
0.00601426 33.9227
0.00606365 32.317
0.00611346 30.8131
0.00616366 29.3833
0.00621427 28.0392
0.00626529 26.7208
0.00631673 25.4848
0.00636859 24.2836
0.00642088 23.1707
0.00647362 22.0753
0.00652677 21.0534
0.00658036 20.0645
0.0066344 19.1296
0.00668886 18.2438
0.00674379 17.4026
0.00679918 16.5813
0.00685501 15.8063
0.00691131 15.0776
0.00696806 14.367
0.00702526 13.7036
0.00708294 13.0523
0.00714111 12.4503
0.00719973 11.8658
0.00725885 11.313
0.00731846 10.788
0.00737856 10.2879
0.00743915 9.7967
0.00750022 9.34352
0.0075618 8.90593
0.0076239 8.49319
0.00768649 8.09702
0.00774961 7.72048
0.00781325 7.36042
0.00787742 7.01806
0.0079421 6.69403
0.0080073 6.38258
0.00807306 6.08429
0.00813935 5.80224
0.00820618 5.53272
0.00827356 5.27813
0.0083415 5.03211
0.00840998 4.79759
0.00847904 4.57708
0.00854867 4.36872
0.00861886 4.16948
0.00868963 3.9757
0.00876099 3.7948
0.00883292 3.62094
0.00890544 3.45688
0.00897858 3.29848
0.00905231 3.15087
0.00912663 3.00822
0.00920156 2.87386
0.00927713 2.74667
0.0093533 2.62289
0.0094301 2.5084
0.00950753 2.39878
0.0095856 2.29517
0.00966431 2.1953
0.00974367 2.10128
0.00982367 2.01241
0.00990433 1.92756
0.00998566 1.84751
0.0100677 1.77232
0.0101503 1.70076
0.0102337 1.63287
0.0103177 1.56888
0.0104024 1.50913
0.0104878 1.45219
0.010574 1.39939
0.0106608 1.34907
0.0107483 1.30157
0.0108366 1.25777
0.0109256 1.21673
0.0110152 1.17846
0.0111055 1.1318
0.0111967 1.08199
0.0112886 1.0346
0.0113813 0.989442
0.0114748 0.946279
0.011569 0.904958
0.011664 0.866088
0.0117598 0.828914
0.0118563 0.793347
0.0119537 0.759938
0.0120518 0.727971
0.0121508 0.697619
0.0122505 0.668312
0.0123511 0.641011
0.0124525 0.614575
0.0125548 0.589861
0.0126579 0.566199
0.0127618 0.543916
0.0128666 0.522396
0.0129722 0.502473
0.0130787 0.483472
0.0131861 0.465285
0.0132944 0.448353
0.0134035 0.432342
0.0135136 0.417116
0.0136245 0.402854
0.0137363 0.389578
0.0138491 0.37679
0.0139628 0.364887
0.0140774 0.353815
0.014193 0.343335
0.0143095 0.333591
0.014427 0.324659
0.0145454 0.316179
0.0146648 0.308143
0.0147852 0.300647
0.0149065 0.293586
0.0150288 0.286651
0.0151522 0.279537
0.0152765 0.272054
0.0154018 0.263706
0.0155281 0.254015
0.0156556 0.242466
0.0157843 0.232869
0.0159139 0.22496
0.0160445 0.218014
0.0161763 0.211731
0.0163091 0.206291
0.0164429 0.201327
0.0165779 0.196883
0.0167139 0.192981
0.0168511 0.189933
0.0169894 0.18738
0.0171288 0.185539
0.0172693 0.18433
0.0174109 0.183855
0.0175537 0.184081
0.0176976 0.185079
0.0178426 0.187013
0.0179887 0.189598
0.018136 0.193983
0.0182842 0.199062
0.0184332 0.205517
0.0185832 0.213234
0.0187336 0.222773
0.0188802 0.235674
0.0190113 0.241433
0.0191299 0.0345719