# k P_nu(k)
# a = 0.0410839
# nbins = 695
1.22718e-05 8.15901e+08
1.7355e-05 3.46717e+08
2.12555e-05 1.90046e+08
2.45437e-05 1.17793e+08
2.74407e-05 7.8991e+07
3.00598e-05 5.59953e+07
3.471e-05 3.16917e+07
3.68155e-05 2.47575e+07
3.8807e-05 1.9777e+07
4.07011e-05 1.62784e+07
4.25109e-05 1.35304e+07
4.42468e-05 1.14833e+07
4.5917e-05 9.77572e+06
4.90874e-05 7.48236e+06
5.05981e-05 6.58335e+06
5.2065e-05 5.8828e+06
5.34917e-05 5.2244e+06
5.48814e-05 4.71953e+06
5.62367e-05 4.28126e+06
5.75601e-05 3.9167e+06
6.01195e-05 3.24402e+06
6.13592e-05 2.99433e+06
6.25744e-05 2.75163e+06
6.37664e-05 2.54124e+06
6.60859e-05 2.18587e+06
6.72157e-05 2.02902e+06
6.942e-05 1.7769e+06
7.04964e-05 1.64371e+06
7.15565e-05 1.52031e+06
7.26012e-05 1.43714e+06
7.36311e-05 1.33667e+06
7.46467e-05 1.24066e+06
7.56487e-05 1.17989e+06
7.7614e-05 1.02552e+06
7.85782e-05 971719
7.95307e-05 906757
8.04719e-05 848439
8.14022e-05 806122
8.2322e-05 756373
8.32317e-05 716770
8.50218e-05 643329
8.59029e-05 605951
8.67751e-05 572767
8.76385e-05 540660
8.84935e-05 524757
8.93404e-05 493302
9.01793e-05 465328
9.18341e-05 424237
9.26504e-05 399497
9.34596e-05 383086
9.42618e-05 363532
9.58462e-05 334137
9.66286e-05 320201
9.81748e-05 295958
9.89388e-05 283996
9.9697e-05 272019
0.000100947 253875
0.000101938 244016
0.000102674 235308
0.00010413 219693
0.000104851 212095
0.000105793 202508
0.000106983 191999
0.000107685 186871
0.000108382 182337
0.000109763 167102
0.000110447 166271
0.000111126 159128
0.00011207 154298
0.000113141 146510
0.000113804 144753
0.00011512 136053
0.000115772 133330
0.000116605 128389
0.000118768 118655
0.000120655 111387
0.000121732 105725
0.000122718 101231
0.000123466 98867.2
0.000125149 92347.8
0.000125749 91131.5
0.000126644 87933
0.000127941 83141.8
0.000128708 81642.8
0.000130739 74069.9
0.000131943 71144.9
0.000132953 68528.9
0.000134431 64712.2
0.000135328 62787.5
0.000136101 59599.9
0.000137477 56848.7
0.00013884 52548.6
0.000139516 52546.7
0.000140611 49937.5
0.000141939 47122
0.000143463 43938.2
0.000144385 43313.3
0.000145548 40677.8
0.000146631 38565.5
0.000148112 36944.8
0.00014952 34629.9
0.000150299 33853.9
0.000151832 31336.2
0.000152783 30734.6
0.000154045 29255.8
0.000155658 27172.4
0.00015665 26354
0.0001579 24933.9
0.000159354 23879.3
0.000160279 23316.8
0.000161626 22045.7
0.000163463 20925.7
0.000164644 20029.9
0.000165783 19488.5
0.000167197 18467.9
0.000168799 17717.8
0.000170423 16966.9
0.000171157 16392.7
0.000172744 15682.3
0.000174349 15052.7
0.00017592 14265.3
0.000177497 13697.1
0.000178723 13360.4
0.000180282 12758.5
0.000181376 12399.6
0.000182743 11890.9
0.000184551 11367.3
0.000185977 10947.7
0.000187589 10472
0.000188953 9954.61
0.000190863 9545.72
0.000192158 9217.97
0.000193916 8796.93
0.000195504 8308.51
0.000197181 7974.51
0.000198613 7596.74
0.000200148 7243.02
0.000201721 6918.81
0.000203587 6579.35
0.00020541 6211.69
0.000207172 5874.37
0.000208922 5634.99
0.000210371 5370.96
0.000212078 5110.62
0.000214191 4822.04
0.000215596 4670.26
0.00021743 4393.58
0.000219259 4176.59
0.000221084 3965.49
0.00022283 3802.16
0.000224493 3673.3
0.000226376 3451.24
0.000228421 3320.5
0.000230288 3194.98
0.000231928 3056.09
0.00023399 2892.63
0.000236053 2767.14
0.000237805 2688.51
0.000239779 2546.48
0.000241744 2464.45
0.000243673 2346.26
0.000245757 2256.44
0.000247871 2156.45
0.00024984 2072.91
0.000251597 1984.42
0.000253565 1896.49
0.000256 1797.7
0.000258364 1715.01
0.000260499 1638.6
0.000262417 1554.87
0.000264367 1490.55
0.000266592 1411.55
0.000268987 1342.82
0.000271108 1282.57
0.000273349 1215.82
0.000275546 1151.49
0.000277706 1102.38
0.000280204 1041.01
0.000282696 1000.75
0.000284955 951.742
0.000287036 903.859
0.000289296 864.908
0.000291909 827.244
0.000294404 789.907
0.000296654 759.512
0.000299082 729.744
0.000301403 693.509
0.000303861 660.719
0.000306413 630.97
0.000308749 602.51
0.000311525 574.959
0.000313955 551.304
0.000316471 526.392
0.000319321 503.243
0.000322008 474.794
0.000324666 452.734
0.00032719 430.779
0.000329929 412.465
0.000332507 394.652
0.000335216 376.259
0.000337986 356.494
0.000340927 337.086
0.000343668 320.624
0.000346605 305.058
0.000349164 293.127
0.000352165 276.442
0.000355188 263.624
0.000358008 254.158
0.000361098 240.659
0.000363971 229.53
0.00036707 217.428
0.000369977 209.54
0.000373107 198.714
0.000376085 190.406
0.000379074 181.132
0.000382228 172.356
0.00038541 165.195
0.000388542 157.299
0.000391757 148.946
0.000394981 142.742
0.000398111 134.542
0.000401474 128.259
0.000404717 122.291
0.000407935 116.905
0.000411525 110.837
0.000414686 106.641
0.000418155 101.425
0.00042175 96.3825
0.000425291 90.9053
0.000428636 86.8684
0.000432208 82.867
0.0004357 79.452
0.000439332 75.5053
0.000442787 71.8872
0.000446449 68.5662
0.000450291 65.0318
0.000453801 62.5172
0.000457447 59.125
0.000461323 56.3411
0.000465014 53.5667
0.000468866 51.0855
0.000472806 48.3892
0.00047678 46.2439
0.000480624 43.7954
0.000484555 42.0256
0.000488474 39.9998
0.000492396 37.9707
0.000496538 36.3015
0.000500678 34.5234
0.000504761 32.8706
0.000508767 31.2814
0.000512959 29.7501
0.000517253 28.3862
0.000521544 26.8242
0.000525774 25.7168
0.000530168 24.3947
0.000534431 23.1819
0.00053878 21.9295
0.000543223 20.9692
0.000547788 20.021
0.000552163 19.0286
0.000556755 18.1044
0.000561463 17.1244
0.000566064 16.4062
0.000570587 15.6119
0.000575277 14.7032
0.000580056 14.0733
0.000584753 13.5055
0.000589576 12.7718
0.000594327 12.2025
0.000599226 11.5593
0.000604166 10.9901
0.000609275 10.4415
0.000614265 9.96358
0.000619191 9.52575
0.000624415 8.99351
0.000629458 8.577
0.00063466 8.14754
0.00063975 7.77073
0.00064489 7.39602
0.000650271 7.05446
0.000655619 6.67585
0.000661178 6.34111
0.000666601 6.0333
0.00067198 5.7264
0.000677465 5.49215
0.000682952 5.23517
0.000688602 4.93576
0.000694365 4.72386
0.000699968 4.4931
0.00070566 4.24441
0.000711633 4.04252
0.000717351 3.84897
0.000723301 3.65256
0.000729237 3.48512
0.00073526 3.29774
0.000741287 3.14548
0.000747431 2.98903
0.000753573 2.85657
0.000759705 2.71433
0.000765936 2.57044
0.000772341 2.45283
0.000778615 2.32987
0.000785031 2.21819
0.000791493 2.09232
0.000797999 2.00035
0.000804499 1.89572
0.000811074 1.81005
0.000817707 1.71663
0.000824546 1.62967
0.000831271 1.54859
0.000838002 1.47106
0.000844949 1.40106
0.000851929 1.33819
0.000858954 1.26286
0.000865919 1.20612
0.000873072 1.14375
0.000880195 1.08943
0.000887393 1.0299
0.000894783 0.983111
0.000902097 0.931152
0.00090951 0.887645
0.000916929 0.843919
0.000924423 0.799049
0.00093206 0.759355
0.000939669 0.721873
0.000947384 0.68717
0.000955222 0.654767
0.000963012 0.622298
0.00097096 0.590256
0.000978975 0.561461
0.000986946 0.529656
0.000995044 0.506207
0.00100317 0.480838
0.00101134 0.457904
0.00101966 0.436463
0.00102811 0.412152
0.0010366 0.391406
0.00104515 0.371652
0.00105367 0.353853
0.0010623 0.333498
0.00107099 0.31967
0.00107984 0.302759
0.00108877 0.288507
0.00109754 0.273996
0.00110658 0.260648
0.00111585 0.246756
0.001125 0.23399
0.00113422 0.222823
0.00114355 0.210996
0.00115284 0.199918
0.0011623 0.190787
0.00117183 0.181042
0.00118147 0.17179
0.00119124 0.163686
0.00120099 0.156403
0.00121082 0.148019
0.00122077 0.14029
0.00123083 0.133162
0.00124092 0.12643
0.00125109 0.119647
0.00126141 0.11357
0.00127177 0.108622
0.00128216 0.103008
0.00129272 0.0977128
0.00130337 0.0926265
0.00131407 0.0880593
0.00132486 0.083618
0.00133574 0.0792436
0.00134668 0.0755354
0.0013577 0.0715664
0.0013688 0.067967
0.00138009 0.0647491
0.00139144 0.0609539
0.00140285 0.0580907
0.00141438 0.0552804
0.0014259 0.0524986
0.00143763 0.049797
0.00144946 0.0475388
0.00146138 0.0450488
0.00147343 0.0425656
0.00148553 0.0404239
0.00149773 0.0383508
0.00150998 0.0365279
0.00152238 0.03462
0.00153493 0.032862
0.00154754 0.0313004
0.0015602 0.0296683
0.00157297 0.0282014
0.00158593 0.0266483
0.00159901 0.0253048
0.00161212 0.0240004
0.00162533 0.0228481
0.00163867 0.0215808
0.00165213 0.0206115
0.00166568 0.0195388
0.00167936 0.0185269
0.00169314 0.017589
0.00170706 0.0166738
0.00172108 0.015851
0.00173519 0.015052
0.00174947 0.0142544
0.00176388 0.0135489
0.00177833 0.0128709
0.00179289 0.0122006
0.00180762 0.0115785
0.0018225 0.0109853
0.00183749 0.0104389
0.00185259 0.0098907
0.00186776 0.00936426
0.00188308 0.00889988
0.00189858 0.00845742
0.00191415 0.00803432
0.00192986 0.00760936
0.00194568 0.00723516
0.00196164 0.00685812
0.00197781 0.00651768
0.00199407 0.00617848
0.00201041 0.00586816
0.0020269 0.00557605
0.00204357 0.00527348
0.00206031 0.00501573
0.00207723 0.00475069
0.00209433 0.00451811
0.00211151 0.00427973
0.00212883 0.00405883
0.00214631 0.00385375
0.00216395 0.00365584
0.00218171 0.00347176
0.00219964 0.00330028
0.0022177 0.00312861
0.00223591 0.00296389
0.00225426 0.00281368
0.00227273 0.0026667
0.00229144 0.0025361
0.00231024 0.00241207
0.00232919 0.00228216
0.00234835 0.0021695
0.00236765 0.00205844
0.00238708 0.00194904
0.00240668 0.00185154
0.00242645 0.00175905
0.00244635 0.00166488
0.00246642 0.00157889
0.00248668 0.00150309
0.00250712 0.00142517
0.0025277 0.00135599
0.00254846 0.00128511
0.00256938 0.00121815
0.00259045 0.00115515
0.00261172 0.00110014
0.00263319 0.00104158
0.00265482 0.000988584
0.0026766 0.000939419
0.00269857 0.000892593
0.00272074 0.000845285
0.00274311 0.000804626
0.00276562 0.000763862
0.00278831 0.000724405
0.00281122 0.000687785
0.00283428 0.000653049
0.00285753 0.000618436
0.00288102 0.000589507
0.00290469 0.000560031
0.00292852 0.000531054
0.00295255 0.000504327
0.00297682 0.000477535
0.00300132 0.000453575
0.00302595 0.000431672
0.00305077 0.000409345
0.00307582 0.000387639
0.00310109 0.000368431
0.00312652 0.00034945
0.00315219 0.000331229
0.00317808 0.000314783
0.00320418 0.000297557
0.00323049 0.000282794
0.003257 0.000268557
0.00328375 0.000254596
0.00331073 0.000241175
0.00333793 0.000228691
0.00336532 0.000217114
0.00339295 0.000206309
0.00342081 0.000195601
0.0034489 0.000185401
0.00347724 0.000175798
0.00350579 0.000166818
0.00353457 0.000158471
0.00356356 0.000150392
0.0035928 0.00014237
0.0036223 0.00013517
0.00365206 0.00012856
0.00368208 0.000121833
0.00371232 0.000115602
0.0037428 0.000109922
0.00377353 0.000104312
0.00380451 9.89068e-05
0.00383574 9.39565e-05
0.00386724 8.91471e-05
0.00389899 8.46087e-05
0.003931 8.04704e-05
0.0039633 7.63669e-05
0.00399584 7.24313e-05
0.00402865 6.8874e-05
0.00406173 6.54131e-05
0.00409507 6.2269e-05
0.00412871 5.90742e-05
0.00416262 5.6154e-05
0.0041968 5.33506e-05
0.00423127 5.05497e-05
0.004266 4.8148e-05
0.00430101 4.5741e-05
0.00433633 4.35194e-05
0.00437195 4.136e-05
0.00440786 3.9314e-05
0.00444405 3.73752e-05
0.00448053 3.55174e-05
0.00451731 3.38224e-05
0.0045544 3.21537e-05
0.00459181 3.0599e-05
0.00462953 2.9145e-05
0.00466752 2.7787e-05
0.00470583 2.64065e-05
0.00474448 2.51813e-05
0.00478347 2.39643e-05
0.00482275 2.2845e-05
0.00486234 2.17832e-05
0.00490225 2.07551e-05
0.0049425 1.98058e-05
0.0049831 1.88976e-05
0.00502401 1.80349e-05
0.00506526 1.72309e-05
0.00510687 1.64469e-05
0.00514879 1.57304e-05
0.00519107 1.50449e-05
0.0052337 1.43897e-05
0.00527667 1.37777e-05
0.00532001 1.32037e-05
0.00536367 1.26608e-05
0.00540771 1.21526e-05
0.00545214 1.16506e-05
0.0054969 1.11995e-05
0.00554203 1.07635e-05
0.00558753 1.03725e-05
0.00563342 9.99901e-06
0.00567967 9.63266e-06
0.00572631 9.30588e-06
0.00577334 8.99563e-06
0.00582073 8.70512e-06
0.00586853 8.43483e-06
0.00591672 8.18554e-06
0.0059653 7.95616e-06
0.00601426 7.74687e-06
0.00606365 7.55301e-06
0.00611346 7.38519e-06
0.00616366 7.22373e-06
0.00621427 7.07987e-06
0.00626529 6.94832e-06
0.00631673 6.83828e-06
0.00636859 6.73775e-06
0.00642088 6.67028e-06
0.00647362 6.59922e-06
0.00652677 6.54999e-06
0.00658036 6.5262e-06
0.0066344 6.5072e-06
0.00668886 6.51696e-06
0.00674379 6.52966e-06
0.00679918 6.56852e-06
0.00685501 6.61728e-06
0.00691131 6.70423e-06
0.00696806 6.78071e-06
0.00702526 6.90452e-06
0.00708294 7.0376e-06
0.00714111 7.19673e-06
0.00719973 7.37651e-06
0.00725885 7.58924e-06
0.00731846 7.84095e-06
0.00737856 8.10241e-06
0.00743915 8.40239e-06
0.00750022 8.75727e-06
0.0075618 9.13152e-06
0.0076239 9.56564e-06
0.00768649 1.00394e-05
0.00774961 1.05882e-05
0.00781325 1.12215e-05
0.00787742 1.18706e-05
0.0079421 1.25848e-05
0.0080073 1.34424e-05
0.00807306 1.44392e-05
0.00813935 1.53622e-05
0.00820618 1.67143e-05
0.00827356 1.78675e-05
0.0083415 1.95566e-05
0.00840998 2.10225e-05
0.00847904 2.3089e-05
0.00854867 2.52953e-05
0.00861886 2.75323e-05
0.00868963 3.01617e-05
0.00876099 3.35687e-05
0.00883292 3.69314e-05
0.00890544 4.07672e-05
0.00897858 4.51108e-05
0.00905231 4.95877e-05
0.00912663 5.45226e-05
0.00920156 5.969e-05
0.00927713 6.52511e-05
0.0093533 7.19924e-05
0.0094301 7.46253e-05
0.00950753 7.57641e-05
0.0095856 7.98882e-05
0.00966431 7.43146e-05
0.00974367 7.22117e-05
0.00982367 6.49025e-05
0.00990433 6.03299e-05
0.00998566 5.21929e-05
0.0100677 4.7827e-05
0.0101503 4.19133e-05
0.0102337 3.65341e-05
0.0103177 3.2145e-05
0.0104024 2.85518e-05
0.0104878 2.54819e-05
0.010574 2.29247e-05
0.0106608 2.08253e-05
0.0107483 1.91175e-05
0.0108366 1.78319e-05
0.0109256 1.68962e-05
0.0110152 1.59041e-05
0.0111055 5.02648e-06
0.0111967 1.78046e-06
0.0112886 1.15911e-06
0.0113813 9.85337e-07
0.0114748 9.49273e-07
0.011569 9.71462e-07
0.011664 1.02661e-06
0.0117598 1.10705e-06
0.0118563 1.21144e-06
0.0119537 1.34064e-06
0.0120518 1.49436e-06
0.0121508 1.67639e-06
0.0122505 1.90625e-06
0.0123511 2.16164e-06
0.0124525 2.47288e-06
0.0125548 2.84512e-06
0.0126579 3.27861e-06
0.0127618 3.77516e-06
0.0128666 4.35989e-06
0.0129722 5.02595e-06
0.0130787 5.80689e-06
0.0131861 6.62937e-06
0.0132944 7.59336e-06
0.0134035 8.54517e-06
0.0135136 9.63213e-06
0.0136245 1.06559e-05
0.0137363 1.16803e-05
0.0138491 1.26775e-05
0.0139628 1.35911e-05
0.0140774 1.44254e-05
0.014193 1.53529e-05
0.0143095 1.60554e-05
0.014427 1.67874e-05
0.0145454 1.73629e-05
0.0146648 1.78521e-05
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