# k P_nu(k)
# a = 0.0563098
# nbins = 695
1.22718e-05 2.30694e+09
1.7355e-05 1.02216e+09
2.12555e-05 5.73358e+08
2.45437e-05 3.60766e+08
2.74407e-05 2.44692e+08
3.00598e-05 1.75074e+08
3.471e-05 1.00594e+08
3.68155e-05 7.88849e+07
3.8807e-05 6.3202e+07
4.07011e-05 5.23336e+07
4.25109e-05 4.36252e+07
4.42468e-05 3.71924e+07
4.5917e-05 3.16909e+07
4.90874e-05 2.44688e+07
5.05981e-05 2.15512e+07
5.2065e-05 1.93331e+07
5.34917e-05 1.71536e+07
5.48814e-05 1.55414e+07
5.62367e-05 1.41311e+07
5.75601e-05 1.29738e+07
6.01195e-05 1.07404e+07
6.13592e-05 9.94407e+06
6.25744e-05 9.14181e+06
6.37664e-05 8.45202e+06
6.60859e-05 7.29525e+06
6.72157e-05 6.77685e+06
6.942e-05 5.97274e+06
7.04964e-05 5.51346e+06
7.15565e-05 5.08661e+06
7.26012e-05 4.8343e+06
7.36311e-05 4.49005e+06
7.46467e-05 4.15809e+06
7.56487e-05 3.97755e+06
7.7614e-05 3.44771e+06
7.85782e-05 3.27877e+06
7.95307e-05 3.05369e+06
8.04719e-05 2.85175e+06
8.14022e-05 2.72115e+06
8.2322e-05 2.54999e+06
8.32317e-05 2.42233e+06
8.50218e-05 2.18047e+06
8.59029e-05 2.05228e+06
8.67751e-05 1.93989e+06
8.76385e-05 1.82956e+06
8.84935e-05 1.79156e+06
8.93404e-05 1.67873e+06
9.01793e-05 1.5802e+06
9.18341e-05 1.44553e+06
9.26504e-05 1.35572e+06
9.34596e-05 1.30297e+06
9.42618e-05 1.23458e+06
9.58462e-05 1.13781e+06
9.66286e-05 1.09088e+06
9.81748e-05 1.01158e+06
9.89388e-05 970364
9.9697e-05 928447
0.000100947 865463
0.000101938 835487
0.000102674 805629
0.00010413 753504
0.000104851 727034
0.000105793 693646
0.000106983 658099
0.000107685 641970
0.000108382 627848
0.000109763 570330
0.000110447 572124
0.000111126 544724
0.00011207 529893
0.000113141 501817
0.000113804 498678
0.00011512 467324
0.000115772 459006
0.000116605 441355
0.000118768 408831
0.000120655 385365
0.000121732 364418
0.000122718 348436
0.000123466 341080
0.000125149 318253
0.000125749 315375
0.000126644 304222
0.000127941 287213
0.000128708 283418
0.000130739 255586
0.000131943 246240
0.000132953 237586
0.000134431 224554
0.000135328 218389
0.000136101 205940
0.000137477 197052
0.00013884 180766
0.000139516 182597
0.000140611 173265
0.000141939 163375
0.000143463 151977
0.000144385 151169
0.000145548 141272
0.000146631 133494
0.000148112 128762
0.00014952 120385
0.000150299 118053
0.000151832 108654
0.000152783 107280
0.000154045 102155
0.000155658 94467.7
0.00015665 91841.4
0.0001579 86601.6
0.000159354 83215
0.000160279 81536.6
0.000161626 76826.6
0.000163463 73208.3
0.000164644 69944
0.000165783 68270.9
0.000167197 64511.1
0.000168799 62047.7
0.000170423 59561.7
0.000171157 57274.6
0.000172744 54838.6
0.000174349 52721.7
0.00017592 49818.4
0.000177497 47896.7
0.000178723 46872.1
0.000180282 44717.1
0.000181376 43482.3
0.000182743 41636.4
0.000184551 39880.1
0.000185977 38438.9
0.000187589 36775.2
0.000188953 34802.9
0.000190863 33538.5
0.000192158 32408.3
0.000193916 30973.3
0.000195504 29144.7
0.000197181 28069.3
0.000198613 26677.7
0.000200148 25412.1
0.000201721 24287.7
0.000203587 23153.5
0.00020541 21842.2
0.000207172 20628.4
0.000208922 19869.5
0.000210371 18898.7
0.000212078 17988
0.000214191 16989.9
0.000215596 16506.6
0.00021743 15467.8
0.000219259 14704.1
0.000221084 13951.8
0.00022283 13396.9
0.000224493 12981
0.000226376 12132.5
0.000228421 11718.7
0.000230288 11303.1
0.000231928 10785.8
0.00023399 10187.3
0.000236053 9749.03
0.000237805 9510.15
0.000239779 8974.27
0.000241744 8719.41
0.000243673 8280.4
0.000245757 7981.85
0.000247871 7631.08
0.00024984 7342.79
0.000251597 7020.09
0.000253565 6704.98
0.000256 6359.73
0.000258364 6079.38
0.000260499 5817.33
0.000262417 5502.84
0.000264367 5276.81
0.000266592 4992.76
0.000268987 4755.32
0.000271108 4550.56
0.000273349 4308.26
0.000275546 4074.47
0.000277706 3905.79
0.000280204 3685.65
0.000282696 3561.22
0.000284955 3384.5
0.000287036 3202.69
0.000289296 3066.72
0.000291909 2941.14
0.000294404 2812.44
0.000296654 2705.94
0.000299082 2606.42
0.000301403 2470.01
0.000303861 2350.59
0.000306413 2244.95
0.000308749 2140.73
0.000311525 2046.59
0.000313955 1962.7
0.000316471 1875.47
0.000319321 1798
0.000322008 1690.98
0.000324666 1612.69
0.00032719 1532.6
0.000329929 1470.7
0.000332507 1409.49
0.000335216 1344.82
0.000337986 1272.43
0.000340927 1201.99
0.000343668 1142.98
0.000346605 1088.02
0.000349164 1047.35
0.000352165 985.095
0.000355188 940.29
0.000358008 909.883
0.000361098 860.013
0.000363971 819.778
0.00036707 774.779
0.000369977 749.385
0.000373107 709.723
0.000376085 681.023
0.000379074 647.037
0.000382228 615.656
0.00038541 591.524
0.000388542 563.052
0.000391757 532.418
0.000394981 511.475
0.000398111 480.267
0.000401474 458.375
0.000404717 437.156
0.000407935 418.608
0.000411525 397.027
0.000414686 382.833
0.000418155 364.177
0.00042175 345.942
0.000425291 325.359
0.000428636 311.117
0.000432208 296.923
0.0004357 285.19
0.000439332 270.97
0.000442787 257.754
0.000446449 246.056
0.000450291 233.244
0.000453801 224.889
0.000457447 212.253
0.000461323 202.366
0.000465014 192.224
0.000468866 183.625
0.000472806 173.584
0.00047678 166.36
0.000480624 157.257
0.000484555 151.305
0.000488474 143.955
0.000492396 136.503
0.000496538 130.755
0.000500678 124.355
0.000504761 118.382
0.000508767 112.603
0.000512959 107.148
0.000517253 102.344
0.000521544 96.4898
0.000525774 92.7812
0.000530168 87.8957
0.000534431 83.5437
0.00053878 78.8407
0.000543223 75.5109
0.000547788 72.2348
0.000552163 68.5915
0.000556755 65.2762
0.000561463 61.6374
0.000566064 59.2546
0.000570587 56.3337
0.000575277 52.8632
0.000580056 50.7301
0.000584753 48.8192
0.000589576 46.0879
0.000594327 44.1123
0.000599226 41.7156
0.000604166 39.6735
0.000609275 37.6713
0.000614265 36.0233
0.000619191 34.4853
0.000624415 32.5006
0.000629458 30.994
0.00063466 29.4414
0.00063975 28.0986
0.00064489 26.7552
0.000650271 25.5516
0.000655619 24.135
0.000661178 22.9291
0.000666601 21.8312
0.00067198 20.6926
0.000677465 19.9085
0.000682952 19.0026
0.000688602 17.8664
0.000694365 17.1343
0.000699968 16.2878
0.00070566 15.3645
0.000711633 14.6546
0.000717351 13.9479
0.000723301 13.2313
0.000729237 12.6433
0.00073526 11.9396
0.000741287 11.4106
0.000747431 10.8381
0.000753573 10.3885
0.000759705 9.86466
0.000765936 9.33306
0.000772341 8.91988
0.000778615 8.46642
0.000785031 8.06862
0.000791493 7.59497
0.000797999 7.27377
0.000804499 6.88312
0.000811074 6.58365
0.000817707 6.24334
0.000824546 5.92335
0.000831271 5.63181
0.000838002 5.3437
0.000844949 5.09642
0.000851929 4.87294
0.000858954 4.59371
0.000865919 4.39338
0.000873072 4.16417
0.000880195 3.96973
0.000887393 3.74412
0.000894783 3.58368
0.000902097 3.39074
0.00090951 3.23307
0.000916929 3.07634
0.000924423 2.91032
0.00093206 2.76355
0.000939669 2.63139
0.000947384 2.50676
0.000955222 2.38879
0.000963012 2.27099
0.00097096 2.15355
0.000978975 2.04946
0.000986946 1.92873
0.000995044 1.84863
0.00100317 1.75452
0.00101134 1.67191
0.00101966 1.59529
0.00102811 1.50557
0.0010366 1.4291
0.00104515 1.35763
0.00105367 1.29345
0.0010623 1.21599
0.00107099 1.1688
0.00107984 1.10652
0.00108877 1.05558
0.00109754 1.00198
0.00110658 0.953515
0.00111585 0.902593
0.001125 0.855258
0.00113422 0.814737
0.00114355 0.771776
0.00115284 0.730925
0.0011623 0.698351
0.00117183 0.662154
0.00118147 0.628689
0.00119124 0.599353
0.00120099 0.57373
0.00121082 0.54224
0.00122077 0.514724
0.00123083 0.488224
0.00124092 0.463157
0.00125109 0.437801
0.00126141 0.416232
0.00127177 0.398741
0.00128216 0.378195
0.00129272 0.358478
0.00130337 0.339694
0.00131407 0.323165
0.00132486 0.307151
0.00133574 0.290551
0.00134668 0.276972
0.0013577 0.262692
0.0013688 0.249728
0.00138009 0.238021
0.00139144 0.22356
0.00140285 0.213342
0.00141438 0.2032
0.0014259 0.193006
0.00143763 0.182961
0.00144946 0.174963
0.00146138 0.165705
0.00147343 0.156448
0.00148553 0.148566
0.00149773 0.141031
0.00150998 0.134511
0.00152238 0.127513
0.00153493 0.120831
0.00154754 0.115336
0.0015602 0.109194
0.00157297 0.103979
0.00158593 0.0981745
0.00159901 0.0931293
0.00161212 0.0882886
0.00162533 0.0842004
0.00163867 0.0794145
0.00165213 0.0759457
0.00166568 0.0720671
0.00167936 0.0682886
0.00169314 0.0647924
0.00170706 0.0614501
0.00172108 0.0584376
0.00173519 0.0555031
0.00174947 0.0525935
0.00176388 0.0499715
0.00177833 0.0474693
0.00179289 0.0450515
0.00180762 0.0426958
0.0018225 0.0405405
0.00183749 0.0385518
0.00185259 0.0365217
0.00186776 0.034522
0.00188308 0.0328415
0.00189858 0.031221
0.00191415 0.0296515
0.00192986 0.0280687
0.00194568 0.0267287
0.00196164 0.0253289
0.00197781 0.0240755
0.00199407 0.0228369
0.00201041 0.0216644
0.0020269 0.020604
0.00204357 0.0194804
0.00206031 0.0185266
0.00207723 0.0175362
0.00209433 0.0166921
0.00211151 0.0158163
0.00212883 0.015008
0.00214631 0.0142277
0.00216395 0.0135096
0.00218171 0.012834
0.00219964 0.0121964
0.0022177 0.0115374
0.00223591 0.0109513
0.00225426 0.0103945
0.00227273 0.0098499
0.00229144 0.00937338
0.00231024 0.0089103
0.00232919 0.00842211
0.00234835 0.00801105
0.00236765 0.0075975
0.00238708 0.00720173
0.00240668 0.00683464
0.00242645 0.00649095
0.00244635 0.00614517
0.00246642 0.00582725
0.00248668 0.00554455
0.00250712 0.00525913
0.0025277 0.00499613
0.00254846 0.00473653
0.00256938 0.00449124
0.00259045 0.00425862
0.00261172 0.00405144
0.00263319 0.00383716
0.00265482 0.00364165
0.0026766 0.00345038
0.00269857 0.00328451
0.00272074 0.00310662
0.00274311 0.00295848
0.00276562 0.00280525
0.00278831 0.00266122
0.00281122 0.00252339
0.00283428 0.00239741
0.00285753 0.00226672
0.00288102 0.00215763
0.00290469 0.00205049
0.00292852 0.00194319
0.00295255 0.0018429
0.00297682 0.00174484
0.00300132 0.00165503
0.00302595 0.00157586
0.00305077 0.00149132
0.00307582 0.00141223
0.00310109 0.00134275
0.00312652 0.0012715
0.00315219 0.00120548
0.00317808 0.0011454
0.00320418 0.00108122
0.00323049 0.00102628
0.003257 0.00097436
0.00328375 0.000924311
0.00331073 0.000874954
0.00333793 0.000828917
0.00336532 0.000786047
0.00339295 0.000746376
0.00342081 0.000706956
0.0034489 0.000670001
0.00347724 0.00063396
0.00350579 0.000601594
0.00353457 0.000570946
0.00356356 0.000541082
0.0035928 0.00051153
0.0036223 0.000485634
0.00365206 0.000461155
0.00368208 0.000436647
0.00371232 0.000413873
0.0037428 0.000393064
0.00377353 0.000372397
0.00380451 0.00035277
0.00383574 0.000334975
0.00386724 0.000317221
0.00389899 0.000300859
0.003931 0.000285503
0.0039633 0.000270796
0.00399584 0.000256599
0.00402865 0.000243486
0.00406173 0.000231245
0.00409507 0.000219599
0.00412871 0.000208267
0.00416262 0.000197567
0.0041968 0.000187419
0.00423127 0.000177621
0.004266 0.000168916
0.00430101 0.000160124
0.00433633 0.000152262
0.00437195 0.000144293
0.00440786 0.00013718
0.00444405 0.000130084
0.00448053 0.000123777
0.00451731 0.000117514
0.0045544 0.000111747
0.00459181 0.000106227
0.00462953 0.000100971
0.00466752 9.61356e-05
0.00470583 9.1326e-05
0.00474448 8.69631e-05
0.00478347 8.26073e-05
0.00482275 7.87166e-05
0.00486234 7.49731e-05
0.00490225 7.13729e-05
0.0049425 6.80534e-05
0.0049831 6.49656e-05
0.00502401 6.19608e-05
0.00506526 5.90924e-05
0.00510687 5.6367e-05
0.00514879 5.38211e-05
0.00519107 5.15198e-05
0.0052337 4.92668e-05
0.00527667 4.71334e-05
0.00532001 4.51627e-05
0.00536367 4.32614e-05
0.00540771 4.15417e-05
0.00545214 3.98405e-05
0.0054969 3.82852e-05
0.00554203 3.68077e-05
0.00558753 3.54347e-05
0.00563342 3.41562e-05
0.00567967 3.29381e-05
0.00572631 3.18097e-05
0.00577334 3.07862e-05
0.00582073 2.98131e-05
0.00586853 2.8908e-05
0.00591672 2.80416e-05
0.0059653 2.72879e-05
0.00601426 2.65666e-05
0.00606365 2.59121e-05
0.00611346 2.53491e-05
0.00616366 2.48171e-05
0.00621427 2.43268e-05
0.00626529 2.38739e-05
0.00631673 2.35233e-05
0.00636859 2.3168e-05
0.00642088 2.29351e-05
0.00647362 2.26992e-05
0.00652677 2.25036e-05
0.00658036 2.24384e-05
0.0066344 2.23152e-05
0.00668886 2.23286e-05
0.00674379 2.23204e-05
0.00679918 2.24106e-05
0.00685501 2.25547e-05
0.00691131 2.27475e-05
0.00696806 2.2918e-05
0.00702526 2.32327e-05
0.00708294 2.35624e-05
0.00714111 2.39598e-05
0.00719973 2.43963e-05
0.00725885 2.49554e-05
0.00731846 2.55615e-05
0.00737856 2.61513e-05
0.00743915 2.68914e-05
0.00750022 2.76682e-05
0.0075618 2.85464e-05
0.0076239 2.95015e-05
0.00768649 3.05588e-05
0.00774961 3.17048e-05
0.00781325 3.2991e-05
0.00787742 3.4356e-05
0.0079421 3.57595e-05
0.0080073 3.73596e-05
0.00807306 3.9172e-05
0.00813935 4.08208e-05
0.00820618 4.30609e-05
0.00827356 4.49101e-05
0.0083415 4.74919e-05
0.00840998 4.96695e-05
0.00847904 5.25186e-05
0.00854867 5.54352e-05
0.00861886 5.80207e-05
0.00868963 6.10513e-05
0.00876099 6.48326e-05
0.00883292 6.81541e-05
0.00890544 7.15936e-05
0.00897858 7.51203e-05
0.00905231 7.87514e-05
0.00912663 8.2584e-05
0.00920156 8.56991e-05
0.00927713 8.9104e-05
0.0093533 9.30771e-05
0.0094301 9.52218e-05
0.00950753 9.7328e-05
0.0095856 9.94144e-05
0.00966431 9.86382e-05
0.00974367 9.86445e-05
0.00982367 9.7393e-05
0.00990433 9.58518e-05
0.00998566 9.14741e-05
0.0100677 9.02718e-05
0.0101503 8.6172e-05
0.0102337 8.18458e-05
0.0103177 7.75973e-05
0.0104024 7.3814e-05
0.0104878 7.01138e-05
0.010574 6.66611e-05
0.0106608 6.34574e-05
0.0107483 6.05681e-05
0.0108366 5.82075e-05
0.0109256 5.62747e-05
0.0110152 5.35045e-05
0.0111055 1.79291e-05
0.0111967 6.6586e-06
0.0112886 4.22315e-06
0.0113813 3.39526e-06
0.0114748 3.08735e-06
0.011569 3.00322e-06
0.011664 3.03577e-06
0.0117598 3.13974e-06
0.0118563 3.30487e-06
0.0119537 3.52179e-06
0.0120518 3.78583e-06
0.0121508 4.09773e-06
0.0122505 4.46685e-06
0.0123511 4.89146e-06
0.0124525 5.38576e-06
0.0125548 5.95484e-06
0.0126579 6.59543e-06
0.0127618 7.33756e-06
0.0128666 8.16871e-06
0.0129722 9.12329e-06
0.0130787 1.02075e-05
0.0131861 1.14205e-05
0.0132944 1.28136e-05
0.0134035 1.43336e-05
0.0135136 1.60779e-05
0.0136245 1.79613e-05
0.0137363 2.00735e-05
0.0138491 2.24214e-05
0.0139628 2.49466e-05
0.0140774 2.76774e-05
0.014193 3.07182e-05
0.0143095 3.37627e-05
0.014427 3.69886e-05
0.0145454 4.00916e-05
0.0146648 4.288e-05
0.0147852 4.53201e-05
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