# k P_nu(k)
# a = 0.316612
# nbins = 695
1.22718e-05 4.05407e+11
1.7355e-05 2.29085e+11
2.12555e-05 1.47787e+11
2.45437e-05 1.01553e+11
2.74407e-05 7.38216e+10
3.00598e-05 5.60683e+10
3.471e-05 3.58914e+10
3.68155e-05 2.84918e+10
3.8807e-05 2.29571e+10
4.07011e-05 2.00677e+10
4.25109e-05 1.69308e+10
4.42468e-05 1.50271e+10
4.5917e-05 1.26811e+10
4.90874e-05 1.06748e+10
5.05981e-05 9.35952e+09
5.2065e-05 8.74916e+09
5.34917e-05 7.53075e+09
5.48814e-05 7.02491e+09
5.62367e-05 6.51889e+09
5.75601e-05 6.23074e+09
6.01195e-05 4.99039e+09
6.13592e-05 4.79666e+09
6.25744e-05 4.37854e+09
6.37664e-05 4.08173e+09
6.60859e-05 3.63754e+09
6.72157e-05 3.38767e+09
6.942e-05 3.23086e+09
7.04964e-05 2.86966e+09
7.15565e-05 2.52235e+09
7.26012e-05 2.58759e+09
7.36311e-05 2.34754e+09
7.46467e-05 2.06312e+09
7.56487e-05 2.14809e+09
7.7614e-05 1.76883e+09
7.85782e-05 1.76868e+09
7.95307e-05 1.59276e+09
8.04719e-05 1.43761e+09
8.14022e-05 1.463e+09
8.2322e-05 1.325e+09
8.32317e-05 1.30423e+09
8.50218e-05 1.1947e+09
8.59029e-05 1.13173e+09
8.67751e-05 1.06398e+09
8.76385e-05 9.85933e+08
8.84935e-05 1.09983e+09
8.93404e-05 9.79945e+08
9.01793e-05 8.90556e+08
9.18341e-05 8.5318e+08
9.26504e-05 7.44566e+08
9.34596e-05 7.4739e+08
9.42618e-05 6.8491e+08
9.58462e-05 6.4959e+08
9.66286e-05 6.24302e+08
9.81748e-05 6.00229e+08
9.89388e-05 5.7989e+08
9.9697e-05 5.41126e+08
0.000100947 4.87237e+08
0.000101938 5.10977e+08
0.000102674 4.88956e+08
0.00010413 4.70974e+08
0.000104851 4.48419e+08
0.000105793 4.17512e+08
0.000106983 3.95324e+08
0.000107685 4.04281e+08
0.000108382 4.07097e+08
0.000109763 3.27782e+08
0.000110447 3.62558e+08
0.000111126 3.19987e+08
0.00011207 3.28158e+08
0.000113141 2.95473e+08
0.000113804 3.19527e+08
0.00011512 2.84255e+08
0.000115772 2.90263e+08
0.000116605 2.74385e+08
0.000118768 2.58951e+08
0.000120655 2.58043e+08
0.000121732 2.2998e+08
0.000122718 2.18387e+08
0.000123466 2.17824e+08
0.000125149 1.96228e+08
0.000125749 2.09901e+08
0.000126644 2.00561e+08
0.000127941 1.85262e+08
0.000128708 1.98101e+08
0.000130739 1.60818e+08
0.000131943 1.61953e+08
0.000132953 1.62454e+08
0.000134431 1.51968e+08
0.000135328 1.51769e+08
0.000136101 1.29616e+08
0.000137477 1.30087e+08
0.00013884 1.05086e+08
0.000139516 1.25506e+08
0.000140611 1.1696e+08
0.000141939 1.08557e+08
0.000143463 9.65476e+07
0.000144385 1.08451e+08
0.000145548 9.59118e+07
0.000146631 8.55442e+07
0.000148112 9.06445e+07
0.00014952 8.19744e+07
0.000150299 8.24535e+07
0.000151832 7.10178e+07
0.000152783 7.73496e+07
0.000154045 7.41682e+07
0.000155658 6.42537e+07
0.00015665 6.45355e+07
0.0001579 5.78539e+07
0.000159354 5.86261e+07
0.000160279 6.01495e+07
0.000161626 5.394e+07
0.000163463 5.43455e+07
0.000164644 5.06597e+07
0.000165783 5.00663e+07
0.000167197 4.6774e+07
0.000168799 4.5474e+07
0.000170423 4.58337e+07
0.000171157 4.10995e+07
0.000172744 3.93797e+07
0.000174349 3.8314e+07
0.00017592 3.56876e+07
0.000177497 3.43087e+07
0.000178723 3.50314e+07
0.000180282 3.29827e+07
0.000181376 3.27645e+07
0.000182743 3.01531e+07
0.000184551 2.98429e+07
0.000185977 2.89775e+07
0.000187589 2.76367e+07
0.000188953 2.48724e+07
0.000190863 2.5552e+07
0.000192158 2.48423e+07
0.000193916 2.4091e+07
0.000195504 2.17296e+07
0.000197181 2.20506e+07
0.000198613 1.98834e+07
0.000200148 1.87221e+07
0.000201721 1.80759e+07
0.000203587 1.79865e+07
0.00020541 1.67296e+07
0.000207172 1.56061e+07
0.000208922 1.60323e+07
0.000210371 1.47412e+07
0.000212078 1.40652e+07
0.000214191 1.32415e+07
0.000215596 1.35286e+07
0.00021743 1.17946e+07
0.000219259 1.13337e+07
0.000221084 1.07844e+07
0.00022283 1.03139e+07
0.000224493 1.03848e+07
0.000226376 9.26937e+06
0.000228421 9.2682e+06
0.000230288 9.27807e+06
0.000231928 8.40743e+06
0.00023399 8.00723e+06
0.000236053 7.44199e+06
0.000237805 7.75148e+06
0.000239779 6.97604e+06
0.000241744 7.23424e+06
0.000243673 6.53389e+06
0.000245757 6.53233e+06
0.000247871 6.23796e+06
0.00024984 5.98633e+06
0.000251597 5.77145e+06
0.000253565 5.52402e+06
0.000256 5.30331e+06
0.000258364 5.07211e+06
0.000260499 5.08368e+06
0.000262417 4.64293e+06
0.000264367 4.37538e+06
0.000266592 4.01946e+06
0.000268987 3.78143e+06
0.000271108 3.91859e+06
0.000273349 3.60799e+06
0.000275546 3.42154e+06
0.000277706 3.22655e+06
0.000280204 3.039e+06
0.000282696 3.13699e+06
0.000284955 3.0453e+06
0.000287036 2.68491e+06
0.000289296 2.6047e+06
0.000291909 2.59499e+06
0.000294404 2.51727e+06
0.000296654 2.43072e+06
0.000299082 2.43552e+06
0.000301403 2.27265e+06
0.000303861 2.08083e+06
0.000306413 2.0004e+06
0.000308749 1.86716e+06
0.000311525 1.83461e+06
0.000313955 1.71849e+06
0.000316471 1.70428e+06
0.000319321 1.6961e+06
0.000322008 1.54015e+06
0.000324666 1.44477e+06
0.00032719 1.37205e+06
0.000329929 1.33368e+06
0.000332507 1.2945e+06
0.000335216 1.2811e+06
0.000337986 1.16779e+06
0.000340927 1.10494e+06
0.000343668 1.07035e+06
0.000346605 1.00881e+06
0.000349164 994221
0.000352165 918351
0.000355188 888076
0.000358008 874152
0.000361098 806830
0.000363971 786509
0.00036707 712508
0.000369977 714528
0.000373107 679370
0.000376085 674319
0.000379074 635965
0.000382228 604415
0.00038541 577606
0.000388542 550411
0.000391757 527512
0.000394981 502814
0.000398111 461422
0.000401474 447802
0.000404717 427437
0.000407935 416462
0.000411525 409803
0.000414686 392300
0.000418155 373682
0.00042175 351527
0.000425291 329912
0.000428636 318734
0.000432208 301731
0.0004357 294941
0.000439332 280580
0.000442787 266530
0.000446449 257303
0.000450291 243945
0.000453801 243543
0.000457447 226271
0.000461323 213061
0.000465014 205543
0.000468866 195937
0.000472806 185013
0.00047678 179521
0.000480624 172808
0.000484555 164467
0.000488474 160087
0.000492396 148360
0.000496538 145624
0.000500678 137779
0.000504761 132432
0.000508767 126179
0.000512959 123152
0.000517253 114936
0.000521544 107521
0.000525774 106251
0.000530168 100675
0.000534431 95256.5
0.00053878 92479.3
0.000543223 87654.6
0.000547788 85497.5
0.000552163 80937.2
0.000556755 74172.3
0.000561463 72591.4
0.000566064 70144.6
0.000570587 66246.9
0.000575277 62692.2
0.000580056 61088.9
0.000584753 59560.2
0.000589576 57047.6
0.000594327 53867.2
0.000599226 51742.5
0.000604166 49165.4
0.000609275 45597.4
0.000614265 45874.7
0.000619191 42732
0.000624415 41403.9
0.000629458 39378.6
0.00063466 37663.9
0.00063975 36030.1
0.00064489 34315.1
0.000650271 32988.1
0.000655619 31289.5
0.000661178 29792.1
0.000666601 28318.6
0.00067198 26987
0.000677465 26212.4
0.000682952 25191.5
0.000688602 23956.3
0.000694365 22924.3
0.000699968 22074.5
0.00070566 20891.4
0.000711633 20625.6
0.000717351 19172.1
0.000723301 18104.8
0.000729237 17656.6
0.00073526 16773
0.000741287 16333.8
0.000747431 15428.7
0.000753573 14724.7
0.000759705 14128.4
0.000765936 13413
0.000772341 12956.9
0.000778615 12424.9
0.000785031 11602.7
0.000791493 11075.6
0.000797999 10697.8
0.000804499 10146.4
0.000811074 9850.92
0.000817707 9392.39
0.000824546 9010.7
0.000831271 8716.05
0.000838002 8278.04
0.000844949 7935.05
0.000851929 7555.84
0.000858954 7157.4
0.000865919 6894.95
0.000873072 6571.93
0.000880195 6320.33
0.000887393 5919.21
0.000894783 5730.09
0.000902097 5502.57
0.00090951 5213.47
0.000916929 5030.35
0.000924423 4840.46
0.00093206 4626.03
0.000939669 4400.2
0.000947384 4250.28
0.000955222 4066.83
0.000963012 3858.86
0.00097096 3738.38
0.000978975 3568.57
0.000986946 3398.16
0.000995044 3276.6
0.00100317 3134.11
0.00101134 2969.33
0.00101966 2847.99
0.00102811 2743.67
0.0010366 2599.15
0.00104515 2509.87
0.00105367 2380.71
0.0010623 2279.99
0.00107099 2198.38
0.00107984 2073.83
0.00108877 1994.66
0.00109754 1919.09
0.00110658 1843.31
0.00111585 1730.31
0.001125 1674.3
0.00113422 1603.05
0.00114355 1558.79
0.00115284 1464.6
0.0011623 1408.11
0.00117183 1348.16
0.00118147 1294.4
0.00119124 1228.37
0.00120099 1188.24
0.00121082 1132.13
0.00122077 1089.03
0.00123083 1040.6
0.00124092 992.521
0.00125109 955.276
0.00126141 919.918
0.00127177 874.016
0.00128216 833.584
0.00129272 799.831
0.00130337 768.007
0.00131407 739.139
0.00132486 704.672
0.00133574 673.147
0.00134668 642.782
0.0013577 623.044
0.0013688 592.838
0.00138009 564.755
0.00139144 545.1
0.00140285 520.97
0.00141438 500.22
0.0014259 477.314
0.00143763 457.043
0.00144946 436.297
0.00146138 421.792
0.00147343 398.094
0.00148553 385.321
0.00149773 369.122
0.00150998 351.648
0.00152238 339.014
0.00153493 323.465
0.00154754 311.149
0.0015602 296.728
0.00157297 285.237
0.00158593 271.601
0.00159901 260.399
0.00161212 250.936
0.00162533 240.45
0.00163867 229.285
0.00165213 220.257
0.00166568 211.002
0.00167936 201.839
0.00169314 194.259
0.00170706 186.109
0.00172108 177.785
0.00173519 170.23
0.00174947 163.268
0.00176388 156.53
0.00177833 149.871
0.00179289 144.083
0.00180762 136.996
0.0018225 131.054
0.00183749 126.068
0.00185259 121.091
0.00186776 115.942
0.00188308 111.295
0.00189858 106.595
0.00191415 102.558
0.00192986 98.013
0.00194568 93.8301
0.00196164 89.6844
0.00197781 86.3015
0.00199407 82.4694
0.00201041 79.2358
0.0020269 75.7476
0.00204357 72.6436
0.00206031 69.8394
0.00207723 66.9786
0.00209433 64.1073
0.00211151 61.3889
0.00212883 58.8539
0.00214631 56.3371
0.00216395 54.0593
0.00218171 51.7212
0.00219964 49.6434
0.0022177 47.5434
0.00223591 45.5636
0.00225426 43.5529
0.00227273 41.9318
0.00229144 40.1994
0.00231024 38.4504
0.00232919 36.8926
0.00234835 35.4432
0.00236765 34.0841
0.00238708 32.501
0.00240668 31.1605
0.00242645 29.8925
0.00244635 28.5768
0.00246642 27.4464
0.00248668 26.3181
0.00250712 25.2081
0.0025277 24.1817
0.00254846 23.1399
0.00256938 22.1529
0.00259045 21.2793
0.00261172 20.411
0.00263319 19.6103
0.00265482 18.764
0.0026766 17.9938
0.00269857 17.2951
0.00272074 16.4925
0.00274311 15.8267
0.00276562 15.1786
0.00278831 14.544
0.00281122 13.9309
0.00283428 13.3641
0.00285753 12.8126
0.00288102 12.2554
0.00290469 11.7827
0.00292852 11.2619
0.00295255 10.823
0.00297682 10.3712
0.00300132 9.95786
0.00302595 9.50538
0.00305077 9.12608
0.00307582 8.73533
0.00310109 8.38897
0.00312652 8.04194
0.00315219 7.70424
0.00317808 7.37499
0.00320418 7.07267
0.00323049 6.77773
0.003257 6.48007
0.00328375 6.23822
0.00331073 5.96391
0.00333793 5.7195
0.00336532 5.49035
0.00339295 5.24517
0.00342081 5.03434
0.0034489 4.8226
0.00347724 4.62381
0.00350579 4.42014
0.00353457 4.2428
0.00356356 4.05926
0.0035928 3.8903
0.0036223 3.72686
0.00365206 3.56833
0.00368208 3.42499
0.00371232 3.27882
0.0037428 3.13838
0.00377353 3.00537
0.00380451 2.88093
0.00383574 2.76119
0.00386724 2.64366
0.00389899 2.52946
0.003931 2.42553
0.0039633 2.32272
0.00399584 2.22179
0.00402865 2.13067
0.00406173 2.0377
0.00409507 1.9547
0.00412871 1.87058
0.00416262 1.79174
0.0041968 1.71583
0.00423127 1.64269
0.004266 1.57311
0.00430101 1.50368
0.00433633 1.44238
0.00437195 1.37808
0.00440786 1.31898
0.00444405 1.26431
0.00448053 1.20989
0.00451731 1.15754
0.0045544 1.10901
0.00459181 1.06084
0.00462953 1.0168
0.00466752 0.973046
0.00470583 0.930375
0.00474448 0.890543
0.00478347 0.852255
0.00482275 0.816251
0.00486234 0.780642
0.00490225 0.745938
0.0049425 0.71467
0.0049831 0.684003
0.00502401 0.653965
0.00506526 0.625519
0.00510687 0.599202
0.00514879 0.57319
0.00519107 0.548987
0.0052337 0.524729
0.00527667 0.501998
0.00532001 0.480305
0.00536367 0.459332
0.00540771 0.439244
0.00545214 0.420658
0.0054969 0.402213
0.00554203 0.384396
0.00558753 0.368259
0.00563342 0.352066
0.00567967 0.336875
0.00572631 0.322156
0.00577334 0.308139
0.00582073 0.294828
0.00586853 0.281871
0.00591672 0.269598
0.0059653 0.257871
0.00601426 0.246499
0.00606365 0.235859
0.00611346 0.225691
0.00616366 0.215787
0.00621427 0.206171
0.00626529 0.1972
0.00631673 0.18869
0.00636859 0.18033
0.00642088 0.172595
0.00647362 0.164944
0.00652677 0.157768
0.00658036 0.150848
0.0066344 0.144192
0.00668886 0.137895
0.00674379 0.131913
0.00679918 0.126173
0.00685501 0.120559
0.00691131 0.115378
0.00696806 0.110326
0.00702526 0.105371
0.00708294 0.100787
0.00714111 0.096419
0.00719973 0.0921388
0.00725885 0.088136
0.00731846 0.0842985
0.00737856 0.0805646
0.00743915 0.0770401
0.00750022 0.0736726
0.0075618 0.0704388
0.0076239 0.0673633
0.00768649 0.0644006
0.00774961 0.0615676
0.00781325 0.058875
0.00787742 0.0563034
0.0079421 0.0538414
0.0080073 0.0514889
0.00807306 0.0492431
0.00813935 0.0470972
0.00820618 0.0450364
0.00827356 0.043072
0.0083415 0.0412315
0.00840998 0.0394434
0.00847904 0.0377279
0.00854867 0.0360893
0.00861886 0.0345468
0.00868963 0.0330518
0.00876099 0.0316398
0.00883292 0.0302927
0.00890544 0.0289995
0.00897858 0.0277749
0.00905231 0.0265886
0.00912663 0.0254804
0.00920156 0.0243993
0.00927713 0.0233922
0.0093533 0.0224204
0.0094301 0.021503
0.00950753 0.0206275
0.0095856 0.0197915
0.00966431 0.0189953
0.00974367 0.0182476
0.00982367 0.0175205
0.00990433 0.0168416
0.00998566 0.0161966
0.0100677 0.0155859
0.0101503 0.0150006
0.0102337 0.0144514
0.0103177 0.0139296
0.0104024 0.0134379
0.0104878 0.0129757
0.010574 0.0125347
0.0106608 0.0121227
0.0107483 0.011737
0.0108366 0.0113744
0.0109256 0.0110391
0.0110152 0.0107159
0.0111055 0.0103065
0.0111967 0.00985342
0.0112886 0.00943279
0.0113813 0.00902932
0.0114748 0.00865499
0.011569 0.00829548
0.011664 0.00795749
0.0117598 0.0076339
0.0118563 0.00733049
0.0119537 0.00704082
0.0120518 0.0067669
0.0121508 0.00650885
0.0122505 0.00625739
0.0123511 0.00602433
0.0124525 0.00579811
0.0125548 0.00558576
0.0126579 0.00538458
0.0127618 0.00519205
0.0128666 0.00501081
0.0129722 0.00483783
0.0130787 0.00467468
0.0131861 0.0045194
0.0132944 0.00437277
0.0134035 0.0042349
0.0135136 0.00410247
0.0136245 0.00398019
0.0137363 0.00386547
0.0138491 0.00375595
0.0139628 0.0036533
0.0140774 0.00355741
0.014193 0.00346937
0.0143095 0.00338639
0.014427 0.00330807
0.0145454 0.00323494
0.0146648 0.00316602
0.0147852 0.00310134
0.0149065 0.0030415
0.0150288 0.00297856
0.0151522 0.00291829
0.0152765 0.00285218
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