# k P_nu(k)
# a = 0.344168
# nbins = 695
1.22718e-05 5.07885e+11
1.7355e-05 2.90368e+11
2.12555e-05 1.8863e+11
2.45437e-05 1.3015e+11
2.74407e-05 9.49349e+10
3.00598e-05 7.23324e+10
3.471e-05 4.66032e+10
3.68155e-05 3.69852e+10
3.8807e-05 2.97809e+10
4.07011e-05 2.61359e+10
4.25109e-05 2.20522e+10
4.42468e-05 1.96306e+10
4.5917e-05 1.65396e+10
4.90874e-05 1.4016e+10
5.05981e-05 1.2275e+10
5.2065e-05 1.1513e+10
5.34917e-05 9.8759e+09
5.48814e-05 9.23374e+09
5.62367e-05 8.58073e+09
5.75601e-05 8.22928e+09
6.01195e-05 6.5645e+09
6.13592e-05 6.33133e+09
6.25744e-05 5.77197e+09
6.37664e-05 5.38428e+09
6.60859e-05 4.8091e+09
6.72157e-05 4.47865e+09
6.942e-05 4.30036e+09
7.04964e-05 3.80509e+09
7.15565e-05 3.32768e+09
7.26012e-05 3.43836e+09
7.36311e-05 3.11324e+09
7.46467e-05 2.71902e+09
7.56487e-05 2.85383e+09
7.7614e-05 2.33828e+09
7.85782e-05 2.34869e+09
7.95307e-05 2.10834e+09
8.04719e-05 1.89661e+09
8.14022e-05 1.94244e+09
8.2322e-05 1.75149e+09
8.32317e-05 1.73023e+09
8.50218e-05 1.58425e+09
8.59029e-05 1.50483e+09
8.67751e-05 1.4136e+09
8.76385e-05 1.30755e+09
8.84935e-05 1.47617e+09
8.93404e-05 1.30921e+09
9.01793e-05 1.18597e+09
9.18341e-05 1.14097e+09
9.26504e-05 9.8845e+08
9.34596e-05 9.97378e+08
9.42618e-05 9.10353e+08
9.58462e-05 8.65137e+08
9.66286e-05 8.31274e+08
9.81748e-05 8.01068e+08
9.89388e-05 7.75709e+08
9.9697e-05 7.21743e+08
0.000100947 6.4686e+08
0.000101938 6.84949e+08
0.000102674 6.54629e+08
0.00010413 6.32559e+08
0.000104851 6.01436e+08
0.000105793 5.58127e+08
0.000106983 5.27801e+08
0.000107685 5.42958e+08
0.000108382 5.4791e+08
0.000109763 4.37034e+08
0.000110447 4.86607e+08
0.000111126 4.26687e+08
0.00011207 4.39967e+08
0.000113141 3.9403e+08
0.000113804 4.29221e+08
0.00011512 3.7985e+08
0.000115772 3.89541e+08
0.000116605 3.67901e+08
0.000118768 3.47393e+08
0.000120655 3.47795e+08
0.000121732 3.08342e+08
0.000122718 2.93208e+08
0.000123466 2.92444e+08
0.000125149 2.62131e+08
0.000125749 2.82699e+08
0.000126644 2.69836e+08
0.000127941 2.48868e+08
0.000128708 2.68106e+08
0.000130739 2.15419e+08
0.000131943 2.17818e+08
0.000132953 2.19565e+08
0.000134431 2.04874e+08
0.000135328 2.04837e+08
0.000136101 1.73443e+08
0.000137477 1.7485e+08
0.00013884 1.39564e+08
0.000139516 1.69419e+08
0.000140611 1.57733e+08
0.000141939 1.46199e+08
0.000143463 1.2939e+08
0.000144385 1.46704e+08
0.000145548 1.29337e+08
0.000146631 1.14805e+08
0.000148112 1.22483e+08
0.00014952 1.10542e+08
0.000150299 1.11186e+08
0.000151832 9.54319e+07
0.000152783 1.04756e+08
0.000154045 1.00564e+08
0.000155658 8.66442e+07
0.00015665 8.72818e+07
0.0001579 7.79176e+07
0.000159354 7.93616e+07
0.000160279 8.17292e+07
0.000161626 7.29992e+07
0.000163463 7.38597e+07
0.000164644 6.87765e+07
0.000165783 6.77869e+07
0.000167197 6.34964e+07
0.000168799 6.16348e+07
0.000170423 6.24685e+07
0.000171157 5.56844e+07
0.000172744 5.32989e+07
0.000174349 5.18706e+07
0.00017592 4.83749e+07
0.000177497 4.64381e+07
0.000178723 4.75611e+07
0.000180282 4.47702e+07
0.000181376 4.45639e+07
0.000182743 4.08287e+07
0.000184551 4.05458e+07
0.000185977 3.93762e+07
0.000187589 3.75162e+07
0.000188953 3.37224e+07
0.000190863 3.47713e+07
0.000192158 3.38107e+07
0.000193916 3.28141e+07
0.000195504 2.95425e+07
0.000197181 3.01094e+07
0.000198613 2.69934e+07
0.000200148 2.54227e+07
0.000201721 2.4553e+07
0.000203587 2.45366e+07
0.00020541 2.27764e+07
0.000207172 2.12634e+07
0.000208922 2.19746e+07
0.000210371 2.01595e+07
0.000212078 1.92087e+07
0.000214191 1.80409e+07
0.000215596 1.85176e+07
0.00021743 1.60462e+07
0.000219259 1.54588e+07
0.000221084 1.47202e+07
0.00022283 1.40333e+07
0.000224493 1.41668e+07
0.000226376 1.26516e+07
0.000228421 1.26507e+07
0.000230288 1.27004e+07
0.000231928 1.14496e+07
0.00023399 1.09471e+07
0.000236053 1.01264e+07
0.000237805 1.06066e+07
0.000239779 9.51554e+06
0.000241744 9.92458e+06
0.000243673 8.91435e+06
0.000245757 8.94497e+06
0.000247871 8.5366e+06
0.00024984 8.18319e+06
0.000251597 7.91278e+06
0.000253565 7.5795e+06
0.000256 7.298e+06
0.000258364 6.95568e+06
0.000260499 7.0097e+06
0.000262417 6.4022e+06
0.000264367 6.01249e+06
0.000266592 5.49717e+06
0.000268987 5.15678e+06
0.000271108 5.39436e+06
0.000273349 4.95679e+06
0.000275546 4.71581e+06
0.000277706 4.42559e+06
0.000280204 4.17057e+06
0.000282696 4.32302e+06
0.000284955 4.21212e+06
0.000287036 3.69597e+06
0.000289296 3.59035e+06
0.000291909 3.58278e+06
0.000294404 3.4707e+06
0.000296654 3.35904e+06
0.000299082 3.37061e+06
0.000301403 3.15329e+06
0.000303861 2.87437e+06
0.000306413 2.76276e+06
0.000308749 2.5784e+06
0.000311525 2.53654e+06
0.000313955 2.36794e+06
0.000316471 2.35698e+06
0.000319321 2.35076e+06
0.000322008 2.13086e+06
0.000324666 1.99565e+06
0.00032719 1.9015e+06
0.000329929 1.84794e+06
0.000332507 1.78933e+06
0.000335216 1.78072e+06
0.000337986 1.61663e+06
0.000340927 1.53153e+06
0.000343668 1.48894e+06
0.000346605 1.40186e+06
0.000349164 1.38195e+06
0.000352165 1.27706e+06
0.000355188 1.23791e+06
0.000358008 1.21428e+06
0.000361098 1.11802e+06
0.000363971 1.09724e+06
0.00036707 992019
0.000369977 993669
0.000373107 947771
0.000376085 945102
0.000379074 890313
0.000382228 846758
0.00038541 805494
0.000388542 768432
0.000391757 738104
0.000394981 701515
0.000398111 645807
0.000401474 626360
0.000404717 599520
0.000407935 583230
0.000411525 575074
0.000414686 548708
0.000418155 522897
0.00042175 492040
0.000425291 463553
0.000428636 447707
0.000432208 422767
0.0004357 414699
0.000439332 394551
0.000442787 375091
0.000446449 362895
0.000450291 343420
0.000453801 343654
0.000457447 319059
0.000461323 300516
0.000465014 290568
0.000468866 276087
0.000472806 262184
0.00047678 253099
0.000480624 244645
0.000484555 232577
0.000488474 227142
0.000492396 209935
0.000496538 205913
0.000500678 195147
0.000504761 187739
0.000508767 178901
0.000512959 175180
0.000517253 162553
0.000521544 152684
0.000525774 150881
0.000530168 143375
0.000534431 135388
0.00053878 132250
0.000543223 125013
0.000547788 121833
0.000552163 115582
0.000556755 105465
0.000561463 103981
0.000566064 99739.7
0.000570587 94431.3
0.000575277 89880.5
0.000580056 87466.8
0.000584753 85284.4
0.000589576 81712.2
0.000594327 77132.8
0.000599226 74551.4
0.000604166 70685.6
0.000609275 65673.7
0.000614265 65734.6
0.000619191 61315.1
0.000624415 59569.4
0.000629458 56541.3
0.00063466 54296.9
0.00063975 52053.8
0.00064489 49438.5
0.000650271 47622.2
0.000655619 45272.5
0.000661178 42992.5
0.000666601 40825.8
0.00067198 38896.6
0.000677465 37958.5
0.000682952 36308.1
0.000688602 34723
0.000694365 33160
0.000699968 32038.3
0.00070566 30393.1
0.000711633 29938
0.000717351 27823.8
0.000723301 26417.9
0.000729237 25642.2
0.00073526 24463.1
0.000741287 23813.4
0.000747431 22528.6
0.000753573 21476.7
0.000759705 20609.3
0.000765936 19620.5
0.000772341 18935.2
0.000778615 18140.5
0.000785031 16952.6
0.000791493 16285.1
0.000797999 15675.3
0.000804499 14846.4
0.000811074 14481.3
0.000817707 13729.6
0.000824546 13225.4
0.000831271 12799.2
0.000838002 12189.1
0.000844949 11679.9
0.000851929 11109.3
0.000858954 10584.8
0.000865919 10174.9
0.000873072 9689.77
0.000880195 9318.05
0.000887393 8753.1
0.000894783 8461.41
0.000902097 8132.59
0.00090951 7736.47
0.000916929 7440.96
0.000924423 7177.68
0.00093206 6877.98
0.000939669 6549.86
0.000947384 6318.93
0.000955222 6033.73
0.000963012 5738.43
0.00097096 5548.19
0.000978975 5313.86
0.000986946 5065.39
0.000995044 4874.07
0.00100317 4675.41
0.00101134 4445.43
0.00101966 4262.17
0.00102811 4111.87
0.0010366 3884.67
0.00104515 3761.42
0.00105367 3575.02
0.0010623 3419.53
0.00107099 3287.33
0.00107984 3120.31
0.00108877 2999.28
0.00109754 2887.97
0.00110658 2779.52
0.00111585 2606.88
0.001125 2525.68
0.00113422 2426.17
0.00114355 2353.88
0.00115284 2212.53
0.0011623 2128.86
0.00117183 2031.18
0.00118147 1957.45
0.00119124 1859.19
0.00120099 1799.87
0.00121082 1719.53
0.00122077 1655.76
0.00123083 1577.85
0.00124092 1506.13
0.00125109 1454.47
0.00126141 1395.42
0.00127177 1329.85
0.00128216 1270.3
0.00129272 1224.54
0.00130337 1169.82
0.00131407 1127.65
0.00132486 1077.56
0.00133574 1028.42
0.00134668 980.257
0.0013577 952.604
0.0013688 908.222
0.00138009 864.837
0.00139144 836.85
0.00140285 797.896
0.00141438 768.029
0.0014259 734.598
0.00143763 701.909
0.00144946 672.674
0.00146138 649.431
0.00147343 614.241
0.00148553 592.841
0.00149773 569.142
0.00150998 543.544
0.00152238 523.402
0.00153493 500.779
0.00154754 481.402
0.0015602 459.044
0.00157297 441.878
0.00158593 421.265
0.00159901 403.921
0.00161212 389.136
0.00162533 373.366
0.00163867 356.055
0.00165213 343.178
0.00166568 328.08
0.00167936 314.911
0.00169314 302.847
0.00170706 289.951
0.00172108 277.299
0.00173519 266.495
0.00174947 255.568
0.00176388 245.286
0.00177833 234.308
0.00179289 225.449
0.00180762 215.152
0.0018225 205.128
0.00183749 197.78
0.00185259 190.18
0.00186776 182.065
0.00188308 174.473
0.00189858 167.558
0.00191415 160.921
0.00192986 154.195
0.00194568 147.6
0.00196164 141.008
0.00197781 135.959
0.00199407 130.027
0.00201041 124.802
0.0020269 119.425
0.00204357 114.436
0.00206031 110.147
0.00207723 105.726
0.00209433 101.561
0.00211151 97.065
0.00212883 93.1002
0.00214631 89.1389
0.00216395 85.7137
0.00218171 82.022
0.00219964 78.6955
0.0022177 75.419
0.00223591 72.3045
0.00225426 69.2217
0.00227273 66.477
0.00229144 63.6735
0.00231024 61.123
0.00232919 58.6066
0.00234835 56.2689
0.00236765 54.0952
0.00238708 51.771
0.00240668 49.5851
0.00242645 47.6159
0.00244635 45.5092
0.00246642 43.711
0.00248668 41.8827
0.00250712 40.1576
0.0025277 38.5401
0.00254846 36.8508
0.00256938 35.2906
0.00259045 33.9432
0.00261172 32.525
0.00263319 31.2109
0.00265482 29.8934
0.0026766 28.6912
0.00269857 27.5578
0.00272074 26.3142
0.00274311 25.2644
0.00276562 24.2288
0.00278831 23.2175
0.00281122 22.2309
0.00283428 21.3742
0.00285753 20.4658
0.00288102 19.5666
0.00290469 18.7957
0.00292852 18.0031
0.00295255 17.2631
0.00297682 16.5576
0.00300132 15.8868
0.00302595 15.196
0.00305077 14.5503
0.00307582 13.9263
0.00310109 13.3719
0.00312652 12.8268
0.00315219 12.286
0.00317808 11.7747
0.00320418 11.2866
0.00323049 10.8079
0.003257 10.3436
0.00328375 9.9346
0.00331073 9.51208
0.00333793 9.11325
0.00336532 8.7456
0.00339295 8.36337
0.00342081 8.02098
0.0034489 7.68242
0.00347724 7.36416
0.00350579 7.04885
0.00353457 6.75691
0.00356356 6.46418
0.0035928 6.19407
0.0036223 5.92766
0.00365206 5.67872
0.00368208 5.44908
0.00371232 5.20773
0.0037428 4.99167
0.00377353 4.77601
0.00380451 4.58076
0.00383574 4.38885
0.00386724 4.19533
0.00389899 4.02037
0.003931 3.85026
0.0039633 3.68598
0.00399584 3.52443
0.00402865 3.37969
0.00406173 3.23061
0.00409507 3.09417
0.00412871 2.96131
0.00416262 2.83469
0.0041968 2.71174
0.00423127 2.60019
0.004266 2.48834
0.00430101 2.37747
0.00433633 2.27844
0.00437195 2.17743
0.00440786 2.0825
0.00444405 1.9959
0.00448053 1.90801
0.00451731 1.82506
0.0045544 1.74566
0.00459181 1.671
0.00462953 1.59931
0.00466752 1.53011
0.00470583 1.4626
0.00474448 1.39973
0.00478347 1.3371
0.00482275 1.28067
0.00486234 1.22435
0.00490225 1.17153
0.0049425 1.12067
0.0049831 1.0706
0.00502401 1.02472
0.00506526 0.97909
0.00510687 0.936146
0.00514879 0.894694
0.00519107 0.856856
0.0052337 0.818667
0.00527667 0.78276
0.00532001 0.748444
0.00536367 0.715714
0.00540771 0.683432
0.00545214 0.654007
0.0054969 0.624418
0.00554203 0.596968
0.00558753 0.570673
0.00563342 0.545613
0.00567967 0.521818
0.00572631 0.49808
0.00577334 0.475822
0.00582073 0.45511
0.00586853 0.434926
0.00591672 0.415768
0.0059653 0.397375
0.00601426 0.379661
0.00606365 0.363039
0.00611346 0.346675
0.00616366 0.331412
0.00621427 0.316559
0.00626529 0.302502
0.00631673 0.288927
0.00636859 0.276201
0.00642088 0.263799
0.00647362 0.251887
0.00652677 0.240838
0.00658036 0.229867
0.0066344 0.219681
0.00668886 0.209851
0.00674379 0.200552
0.00679918 0.191608
0.00685501 0.182877
0.00691131 0.174785
0.00696806 0.167075
0.00702526 0.159534
0.00708294 0.152329
0.00714111 0.145517
0.00719973 0.138995
0.00725885 0.132808
0.00731846 0.126809
0.00737856 0.121152
0.00743915 0.115706
0.00750022 0.110554
0.0075618 0.105599
0.0076239 0.100836
0.00768649 0.0963546
0.00774961 0.0920397
0.00781325 0.0879111
0.00787742 0.0839916
0.0079421 0.0802064
0.0080073 0.0766095
0.00807306 0.0732393
0.00813935 0.0699576
0.00820618 0.0668599
0.00827356 0.0638636
0.0083415 0.0610179
0.00840998 0.0583317
0.00847904 0.0557651
0.00854867 0.0532759
0.00861886 0.0509411
0.00868963 0.0486871
0.00876099 0.0465521
0.00883292 0.0445233
0.00890544 0.0425801
0.00897858 0.0407388
0.00905231 0.038975
0.00912663 0.0372928
0.00920156 0.0356829
0.00927713 0.0341665
0.0093533 0.0327131
0.0094301 0.0313418
0.00950753 0.0300199
0.0095856 0.0287826
0.00966431 0.0275909
0.00974367 0.0264706
0.00982367 0.0254012
0.00990433 0.024389
0.00998566 0.0234282
0.0100677 0.0225132
0.0101503 0.0216504
0.0102337 0.0208283
0.0103177 0.0200645
0.0104024 0.0193214
0.0104878 0.0186445
0.010574 0.017998
0.0106608 0.0173852
0.0107483 0.0168153
0.0108366 0.0162827
0.0109256 0.0157801
0.0110152 0.0153129
0.0111055 0.0147214
0.0111967 0.0140886
0.0112886 0.0134826
0.0113813 0.0129115
0.0114748 0.0123605
0.011569 0.0118469
0.011664 0.0113621
0.0117598 0.0108929
0.0118563 0.0104525
0.0119537 0.0100334
0.0120518 0.0096317
0.0121508 0.00925191
0.0122505 0.00889092
0.0123511 0.00854776
0.0124525 0.00822151
0.0125548 0.00791169
0.0126579 0.00761637
0.0127618 0.00733647
0.0128666 0.00707175
0.0129722 0.00682209
0.0130787 0.00658154
0.0131861 0.00635897
0.0132944 0.00614699
0.0134035 0.00594393
0.0135136 0.00575472
0.0136245 0.00557362
0.0137363 0.00540667
0.0138491 0.00524755
0.0139628 0.00510105
0.0140774 0.00496153
0.014193 0.00483129
0.0143095 0.00470987
0.014427 0.00459891
0.0145454 0.00449455
0.0146648 0.00439633
0.0147852 0.00430025
0.0149065 0.0042107
0.0150288 0.00412361
0.0151522 0.00403419
0.0152765 0.00393869
0.0154018 0.00383315
0.0155281 0.00370056
0.0156556 0.00354887
0.0157843 0.00342331
0.0159139 0.0033198
0.0160445 0.00323091
0.0161763 0.0031528
0.0163091 0.00308584
0.0164429 0.00302382
0.0165779 0.00297336
0.0167139 0.00293152
0.0168511 0.00289541
0.0169894 0.00286919
0.0171288 0.0028536
0.0172693 0.00285047
0.0174109 0.0028542
0.0175537 0.00286811
0.0176976 0.00290327
0.0178426 0.0029386
0.0179887 0.00299324
0.018136 0.00306042
0.0182842 0.00316303
0.0184332 0.00326771
0.0185832 0.00339987
0.0187336 0.00356482
0.0188802 0.0037533
0.0190113 0.00389746
0.0191299 0.00196465