# k P_nu(k)
# a = 0.506578
# nbins = 695
1.22718e-05 1.35977e+12
1.7355e-05 8.19324e+11
2.12555e-05 5.49353e+11
2.45437e-05 3.8589e+11
2.74407e-05 2.85904e+11
3.00598e-05 2.21045e+11
3.471e-05 1.4694e+11
3.68155e-05 1.16284e+11
3.8807e-05 9.32037e+10
4.07011e-05 8.34591e+10
4.25109e-05 7.03694e+10
4.42468e-05 6.36009e+10
4.5917e-05 5.31101e+10
4.90874e-05 4.65736e+10
5.05981e-05 4.05079e+10
5.2065e-05 3.8666e+10
5.34917e-05 3.2549e+10
5.48814e-05 3.08006e+10
5.62367e-05 2.88238e+10
5.75601e-05 2.81433e+10
6.01195e-05 2.1945e+10
6.13592e-05 2.15678e+10
6.25744e-05 1.95029e+10
6.37664e-05 1.82667e+10
6.60859e-05 1.6494e+10
6.72157e-05 1.53573e+10
6.942e-05 1.52766e+10
7.04964e-05 1.32439e+10
7.15565e-05 1.12617e+10
7.26012e-05 1.20984e+10
7.36311e-05 1.08538e+10
7.46467e-05 9.13677e+09
7.56487e-05 1.00155e+10
7.7614e-05 7.99402e+09
7.85782e-05 8.22356e+09
7.95307e-05 7.2611e+09
8.04719e-05 6.4153e+09
8.14022e-05 6.80698e+09
8.2322e-05 5.97455e+09
8.32317e-05 6.02429e+09
8.50218e-05 5.47146e+09
8.59029e-05 5.31037e+09
8.67751e-05 4.96297e+09
8.76385e-05 4.54609e+09
8.84935e-05 5.46592e+09
8.93404e-05 4.73212e+09
9.01793e-05 4.21907e+09
9.18341e-05 4.14893e+09
9.26504e-05 3.45507e+09
9.34596e-05 3.59657e+09
9.42618e-05 3.20521e+09
9.58462e-05 3.07513e+09
9.66286e-05 2.94589e+09
9.81748e-05 2.86406e+09
9.89388e-05 2.82419e+09
9.9697e-05 2.58469e+09
0.000100947 2.25052e+09
0.000101938 2.52239e+09
0.000102674 2.39278e+09
0.00010413 2.35278e+09
0.000104851 2.22226e+09
0.000105793 2.02084e+09
0.000106983 1.89163e+09
0.000107685 2.01782e+09
0.000108382 2.05572e+09
0.000109763 1.56922e+09
0.000110447 1.79673e+09
0.000111126 1.52607e+09
0.00011207 1.62176e+09
0.000113141 1.41057e+09
0.000113804 1.59145e+09
0.00011512 1.36949e+09
0.000115772 1.43968e+09
0.000116605 1.35615e+09
0.000118768 1.28065e+09
0.000120655 1.31135e+09
0.000121732 1.13353e+09
0.000122718 1.09442e+09
0.000123466 1.08465e+09
0.000125149 9.4177e+08
0.000125749 1.06221e+09
0.000126644 1.00921e+09
0.000127941 9.25321e+08
0.000128708 1.03366e+09
0.000130739 7.87478e+08
0.000131943 8.13109e+08
0.000132953 8.4343e+08
0.000134431 7.75453e+08
0.000135328 7.75373e+08
0.000136101 6.29839e+08
0.000137477 6.49585e+08
0.00013884 4.88434e+08
0.000139516 6.45087e+08
0.000140611 5.988e+08
0.000141939 5.52559e+08
0.000143463 4.75567e+08
0.000144385 5.62025e+08
0.000145548 4.89666e+08
0.000146631 4.26563e+08
0.000148112 4.67518e+08
0.00014952 4.19102e+08
0.000150299 4.18181e+08
0.000151832 3.55961e+08
0.000152783 4.0383e+08
0.000154045 3.91181e+08
0.000155658 3.28127e+08
0.00015665 3.35973e+08
0.0001579 2.9415e+08
0.000159354 3.07586e+08
0.000160279 3.22945e+08
0.000161626 2.83076e+08
0.000163463 2.91158e+08
0.000164644 2.71321e+08
0.000165783 2.6084e+08
0.000167197 2.50383e+08
0.000168799 2.39645e+08
0.000170423 2.50231e+08
0.000171157 2.16868e+08
0.000172744 2.05967e+08
0.000174349 2.00319e+08
0.00017592 1.888e+08
0.000177497 1.79586e+08
0.000178723 1.86396e+08
0.000180282 1.76288e+08
0.000181376 1.76443e+08
0.000182743 1.58067e+08
0.000184551 1.59807e+08
0.000185977 1.55052e+08
0.000187589 1.46579e+08
0.000188953 1.32654e+08
0.000190863 1.38172e+08
0.000192158 1.34086e+08
0.000193916 1.30714e+08
0.000195504 1.17327e+08
0.000197181 1.21838e+08
0.000198613 1.06077e+08
0.000200148 1.00895e+08
0.000201721 9.69823e+07
0.000203587 9.92025e+07
0.00020541 9.07685e+07
0.000207172 8.57047e+07
0.000208922 9.13405e+07
0.000210371 8.31079e+07
0.000212078 7.80035e+07
0.000214191 7.19805e+07
0.000215596 7.56552e+07
0.00021743 6.39008e+07
0.000219259 6.28259e+07
0.000221084 5.98582e+07
0.00022283 5.58269e+07
0.000224493 5.70052e+07
0.000226376 5.17621e+07
0.000228421 5.11879e+07
0.000230288 5.20392e+07
0.000231928 4.58455e+07
0.00023399 4.47845e+07
0.000236053 4.0477e+07
0.000237805 4.34522e+07
0.000239779 3.85393e+07
0.000241744 4.109e+07
0.000243673 3.59701e+07
0.000245757 3.67334e+07
0.000247871 3.50041e+07
0.00024984 3.34456e+07
0.000251597 3.27563e+07
0.000253565 3.15033e+07
0.000256 3.1056e+07
0.000258364 2.88114e+07
0.000260499 2.98378e+07
0.000262417 2.75735e+07
0.000264367 2.53573e+07
0.000266592 2.2608e+07
0.000268987 2.10124e+07
0.000271108 2.27916e+07
0.000273349 2.0845e+07
0.000275546 2.02732e+07
0.000277706 1.851e+07
0.000280204 1.75331e+07
0.000282696 1.84752e+07
0.000284955 1.82827e+07
0.000287036 1.58534e+07
0.000289296 1.54624e+07
0.000291909 1.53658e+07
0.000294404 1.46949e+07
0.000296654 1.45132e+07
0.000299082 1.45642e+07
0.000301403 1.38993e+07
0.000303861 1.24411e+07
0.000306413 1.18509e+07
0.000308749 1.12015e+07
0.000311525 1.10661e+07
0.000313955 1.01388e+07
0.000316471 1.02203e+07
0.000319321 1.0255e+07
0.000322008 9.21645e+06
0.000324666 8.63848e+06
0.00032719 8.39673e+06
0.000329929 8.15994e+06
0.000332507 7.72772e+06
0.000335216 7.89607e+06
0.000337986 7.06156e+06
0.000340927 6.76062e+06
0.000343668 6.64441e+06
0.000346605 6.29783e+06
0.000349164 6.15757e+06
0.000352165 5.72809e+06
0.000355188 5.621e+06
0.000358008 5.38436e+06
0.000361098 4.91635e+06
0.000363971 4.9873e+06
0.00036707 4.52981e+06
0.000369977 4.44769e+06
0.000373107 4.30342e+06
0.000376085 4.43164e+06
0.000379074 4.08599e+06
0.000382228 3.93389e+06
0.00038541 3.67539e+06
0.000388542 3.54001e+06
0.000391757 3.38241e+06
0.000394981 3.20283e+06
0.000398111 3.03701e+06
0.000401474 2.91599e+06
0.000404717 2.8524e+06
0.000407935 2.74133e+06
0.000411525 2.67188e+06
0.000414686 2.51443e+06
0.000418155 2.42612e+06
0.00042175 2.27587e+06
0.000425291 2.19447e+06
0.000428636 2.10986e+06
0.000432208 1.96139e+06
0.0004357 1.97005e+06
0.000439332 1.87628e+06
0.000442787 1.79461e+06
0.000446449 1.76064e+06
0.000450291 1.63289e+06
0.000453801 1.64822e+06
0.000457447 1.5356e+06
0.000461323 1.45572e+06
0.000465014 1.41252e+06
0.000468866 1.33295e+06
0.000472806 1.30283e+06
0.00047678 1.2276e+06
0.000480624 1.19793e+06
0.000484555 1.14886e+06
0.000488474 1.12823e+06
0.000492396 1.03662e+06
0.000496538 1.00442e+06
0.000500678 969867
0.000504761 931794
0.000508767 879445
0.000512959 869205
0.000517253 799868
0.000521544 770646
0.000525774 754352
0.000530168 724068
0.000534431 690597
0.00053878 674259
0.000543223 640025
0.000547788 618914
0.000552163 589898
0.000556755 541977
0.000561463 546737
0.000566064 503574
0.000570587 486312
0.000575277 470182
0.000580056 458183
0.000584753 439295
0.000589576 422015
0.000594327 408134
0.000599226 398345
0.000604166 372495
0.000609275 353986
0.000614265 340308
0.000619191 329337
0.000624415 316447
0.000629458 297500
0.00063466 295485
0.00063975 280951
0.00064489 264551
0.000650271 259675
0.000655619 248856
0.000661178 232514
0.000666601 223172
0.00067198 213734
0.000677465 208978
0.000682952 196518
0.000688602 192077
0.000694365 181079
0.000699968 177053
0.00070566 171527
0.000711633 165316
0.000717351 156011
0.000723301 150847
0.000729237 141323
0.00073526 137019
0.000741287 132671
0.000747431 127763
0.000753573 123605
0.000759705 118018
0.000765936 112729
0.000772341 109439
0.000778615 103772
0.000785031 98438.9
0.000791493 96774
0.000797999 91656.9
0.000804499 87333.8
0.000811074 85285.6
0.000817707 80503.7
0.000824546 77572.9
0.000831271 74817.7
0.000838002 71976.4
0.000844949 69254.5
0.000851929 66770.7
0.000858954 63975.6
0.000865919 61162.6
0.000873072 58325.4
0.000880195 56272.8
0.000887393 53351.7
0.000894783 51238
0.000902097 49154.4
0.00090951 47147
0.000916929 45645.7
0.000924423 44006.6
0.00093206 42576.9
0.000939669 41046.2
0.000947384 39027.7
0.000955222 37589.4
0.000963012 35993.9
0.00097096 34616.1
0.000978975 33476.1
0.000986946 31764.8
0.000995044 30549.2
0.00100317 29283.5
0.00101134 28233.4
0.00101966 26937.9
0.00102811 26131.4
0.0010366 24657.4
0.00104515 23879.4
0.00105367 23158.8
0.0010623 21951.6
0.00107099 21128.5
0.00107984 20358.3
0.00108877 19544.6
0.00109754 18712
0.00110658 18138.3
0.00111585 17178.5
0.001125 16771.1
0.00113422 15927.8
0.00114355 15520.7
0.00115284 14787.3
0.0011623 14177.6
0.00117183 13545.8
0.00118147 12986.8
0.00119124 12507.2
0.00120099 11993.6
0.00121082 11517
0.00122077 11124.2
0.00123083 10694.1
0.00124092 10273.7
0.00125109 9882.62
0.00126141 9477.41
0.00127177 9077.58
0.00128216 8701.92
0.00129272 8363.38
0.00130337 8019.38
0.00131407 7691.52
0.00132486 7359.05
0.00133574 7088.78
0.00134668 6842.65
0.0013577 6541.47
0.0013688 6333.45
0.00138009 6039.37
0.00139144 5822.59
0.00140285 5574.75
0.00141438 5361.71
0.0014259 5164.69
0.00143763 4963.75
0.00144946 4716.88
0.00146138 4568.07
0.00147343 4357.62
0.00148553 4194.68
0.00149773 4019.97
0.00150998 3846.54
0.00152238 3739.03
0.00153493 3559.68
0.00154754 3431.16
0.0015602 3284.6
0.00157297 3136.05
0.00158593 3032.81
0.00159901 2907.16
0.00161212 2791.76
0.00162533 2695.2
0.00163867 2568.59
0.00165213 2488.56
0.00166568 2358.05
0.00167936 2270
0.00169314 2184.74
0.00170706 2090.15
0.00172108 2013.32
0.00173519 1928.17
0.00174947 1850.77
0.00176388 1775.42
0.00177833 1707.21
0.00179289 1647.73
0.00180762 1570.51
0.0018225 1509.11
0.00183749 1454.17
0.00185259 1387.36
0.00186776 1341.66
0.00188308 1278.74
0.00189858 1230.12
0.00191415 1181.42
0.00192986 1133.39
0.00194568 1080.95
0.00196164 1039.01
0.00197781 998.299
0.00199407 957.046
0.00201041 920.617
0.0020269 878.848
0.00204357 843.876
0.00206031 811.561
0.00207723 777.69
0.00209433 745.11
0.00211151 716.501
0.00212883 687.068
0.00214631 656.675
0.00216395 631.057
0.00218171 603.679
0.00219964 581.414
0.0022177 556.269
0.00223591 532.038
0.00225426 510.29
0.00227273 489.92
0.00229144 470.536
0.00231024 450.485
0.00232919 431.446
0.00234835 413.635
0.00236765 397.014
0.00238708 381.454
0.00240668 363.133
0.00242645 349.112
0.00244635 334.414
0.00246642 320.062
0.00248668 307.284
0.00250712 294.488
0.0025277 282.019
0.00254846 269.258
0.00256938 257.851
0.00259045 247.955
0.00261172 237.142
0.00263319 227.072
0.00265482 218.119
0.0026766 208.651
0.00269857 199.595
0.00272074 191.064
0.00274311 182.763
0.00276562 175.161
0.00278831 167.348
0.00281122 160.46
0.00283428 153.606
0.00285753 146.852
0.00288102 140.697
0.00290469 134.849
0.00292852 128.738
0.00295255 123.373
0.00297682 118.116
0.00300132 113.332
0.00302595 108.214
0.00305077 103.466
0.00307582 98.9872
0.00310109 94.726
0.00312652 90.6139
0.00315219 86.8067
0.00317808 82.8249
0.00320418 79.3351
0.00323049 75.9374
0.003257 72.5478
0.00328375 69.4492
0.00331073 66.4383
0.00333793 63.659
0.00336532 60.768
0.00339295 58.0452
0.00342081 55.5559
0.0034489 53.0176
0.00347724 50.7658
0.00350579 48.4332
0.00353457 46.3187
0.00356356 44.2565
0.0035928 42.3265
0.0036223 40.4047
0.00365206 38.6327
0.00368208 36.8928
0.00371232 35.2063
0.0037428 33.699
0.00377353 32.1929
0.00380451 30.7267
0.00383574 29.4026
0.00386724 28.0987
0.00389899 26.7765
0.003931 25.6389
0.0039633 24.4723
0.00399584 23.4028
0.00402865 22.3182
0.00406173 21.293
0.00409507 20.34
0.00412871 19.4237
0.00416262 18.5532
0.0041968 17.742
0.00423127 16.9332
0.004266 16.1645
0.00430101 15.4166
0.00433633 14.7275
0.00437195 14.0324
0.00440786 13.4226
0.00444405 12.8007
0.00448053 12.2143
0.00451731 11.6634
0.0045544 11.129
0.00459181 10.6149
0.00462953 10.1313
0.00466752 9.6631
0.00470583 9.23092
0.00474448 8.80378
0.00478347 8.40318
0.00482275 8.01646
0.00486234 7.64262
0.00490225 7.29655
0.0049425 6.96175
0.0049831 6.6442
0.00502401 6.33545
0.00506526 6.04276
0.00510687 5.76457
0.00514879 5.497
0.00519107 5.23934
0.0052337 5.00241
0.00527667 4.77175
0.00532001 4.54948
0.00536367 4.33934
0.00540771 4.13987
0.00545214 3.94519
0.0054969 3.76469
0.00554203 3.59037
0.00558753 3.42093
0.00563342 3.26678
0.00567967 3.11107
0.00572631 2.96735
0.00577334 2.82982
0.00582073 2.69458
0.00586853 2.57109
0.00591672 2.45093
0.0059653 2.33698
0.00601426 2.22762
0.00606365 2.12325
0.00611346 2.02399
0.00616366 1.93011
0.00621427 1.83948
0.00626529 1.75401
0.00631673 1.6718
0.00636859 1.59338
0.00642088 1.51872
0.00647362 1.44771
0.00652677 1.37945
0.00658036 1.31571
0.0066344 1.25318
0.00668886 1.19479
0.00674379 1.13945
0.00679918 1.08523
0.00685501 1.03438
0.00691131 0.986027
0.00696806 0.93999
0.00702526 0.895671
0.00708294 0.853529
0.00714111 0.813542
0.00719973 0.77542
0.00725885 0.738601
0.00731846 0.704409
0.00737856 0.671291
0.00743915 0.639569
0.00750022 0.609941
0.0075618 0.581041
0.0076239 0.553688
0.00768649 0.528035
0.00774961 0.503077
0.00781325 0.479668
0.00787742 0.457216
0.0079421 0.435959
0.0080073 0.415487
0.00807306 0.39606
0.00813935 0.377619
0.00820618 0.360042
0.00827356 0.343387
0.0083415 0.327571
0.00840998 0.312152
0.00847904 0.297773
0.00854867 0.284079
0.00861886 0.271053
0.00868963 0.258497
0.00876099 0.246749
0.00883292 0.235326
0.00890544 0.224633
0.00897858 0.214445
0.00905231 0.204767
0.00912663 0.195496
0.00920156 0.186742
0.00927713 0.178476
0.0093533 0.17055
0.0094301 0.162942
0.00950753 0.155871
0.0095856 0.14905
0.00966431 0.142649
0.00974367 0.136539
0.00982367 0.130712
0.00990433 0.125232
0.00998566 0.120065
0.0100677 0.115179
0.0101503 0.110535
0.0102337 0.106125
0.0103177 0.10197
0.0104024 0.0980859
0.0104878 0.0943698
0.010574 0.0909257
0.0106608 0.087704
0.0107483 0.0846272
0.0108366 0.0817897
0.0109256 0.0791396
0.0110152 0.07664
0.0111055 0.0736196
0.0111967 0.0704158
0.0112886 0.0673399
0.0113813 0.0644014
0.0114748 0.0616356
0.011569 0.0589435
0.011664 0.0564585
0.0117598 0.054032
0.0118563 0.0517542
0.0119537 0.049581
0.0120518 0.0475056
0.0121508 0.0455493
0.0122505 0.0436879
0.0123511 0.0419071
0.0124525 0.0402143
0.0125548 0.0386105
0.0126579 0.0370925
0.0127618 0.0356415
0.0128666 0.0342871
0.0129722 0.0329743
0.0130787 0.0317547
0.0131861 0.0305737
0.0132944 0.0294802
0.0134035 0.0284437
0.0135136 0.0274671
0.0136245 0.0265538
0.0137363 0.0256925
0.0138491 0.0248591
0.0139628 0.0241084
0.0140774 0.0233986
0.014193 0.0227261
0.0143095 0.0221076
0.014427 0.0215301
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