# k P_nu(k)
# a = 0.230559
# nbins = 695
1.22718e-05 1.67485e+11
1.7355e-05 9.04807e+10
2.12555e-05 5.6841e+10
2.45437e-05 3.84401e+10
2.74407e-05 2.75783e+10
3.00598e-05 2.06988e+10
3.471e-05 1.29425e+10
3.68155e-05 1.02741e+10
3.8807e-05 8.2903e+09
4.07011e-05 7.14841e+09
4.25109e-05 6.02514e+09
4.42468e-05 5.29366e+09
4.5917e-05 4.48892e+09
4.90874e-05 3.69363e+09
5.05981e-05 3.24897e+09
5.2065e-05 3.00309e+09
5.34917e-05 2.61299e+09
5.48814e-05 2.4186e+09
5.62367e-05 2.23325e+09
5.75601e-05 2.11052e+09
6.01195e-05 1.71178e+09
6.13592e-05 1.62712e+09
6.25744e-05 1.49074e+09
6.37664e-05 1.38676e+09
6.60859e-05 1.2261e+09
6.72157e-05 1.14181e+09
6.942e-05 1.06454e+09
7.04964e-05 9.5732e+08
7.15565e-05 8.55125e+08
7.26012e-05 8.56957e+08
7.36311e-05 7.82837e+08
7.46467e-05 7.01182e+08
7.56487e-05 7.11232e+08
7.7614e-05 5.95343e+08
7.85782e-05 5.86432e+08
7.95307e-05 5.33721e+08
8.04719e-05 4.87005e+08
8.14022e-05 4.856e+08
8.2322e-05 4.45571e+08
8.32317e-05 4.33637e+08
8.50218e-05 3.96831e+08
8.59029e-05 3.73597e+08
8.67751e-05 3.52055e+08
8.76385e-05 3.28134e+08
8.84935e-05 3.5183e+08
8.93404e-05 3.18324e+08
9.01793e-05 2.92437e+08
9.18341e-05 2.76299e+08
9.26504e-05 2.46885e+08
9.34596e-05 2.43969e+08
9.42618e-05 2.26294e+08
9.58462e-05 2.1308e+08
9.66286e-05 2.04808e+08
9.81748e-05 1.95162e+08
9.89388e-05 1.87547e+08
9.9697e-05 1.76597e+08
0.000100947 1.61179e+08
0.000101938 1.64148e+08
0.000102674 1.57622e+08
0.00010413 1.5032e+08
0.000104851 1.43776e+08
0.000105793 1.35174e+08
0.000106983 1.28351e+08
0.000107685 1.28981e+08
0.000108382 1.28872e+08
0.000109763 1.0729e+08
0.000110447 1.15763e+08
0.000111126 1.0447e+08
0.00011207 1.05305e+08
0.000113141 9.64453e+07
0.000113804 1.01724e+08
0.00011512 9.20373e+07
0.000115772 9.2749e+07
0.000116605 8.80143e+07
0.000118768 8.28074e+07
0.000120655 8.12023e+07
0.000121732 7.36847e+07
0.000122718 6.9849e+07
0.000123466 6.95101e+07
0.000125149 6.35258e+07
0.000125749 6.62162e+07
0.000126644 6.34917e+07
0.000127941 5.89929e+07
0.000128708 6.15177e+07
0.000130739 5.16571e+07
0.000131943 5.13267e+07
0.000132953 5.07347e+07
0.000134431 4.77902e+07
0.000135328 4.7455e+07
0.000136101 4.17379e+07
0.000137477 4.12768e+07
0.00013884 3.47058e+07
0.000139516 3.92938e+07
0.000140611 3.6768e+07
0.000141939 3.4299e+07
0.000143463 3.0975e+07
0.000144385 3.36457e+07
0.000145548 3.01345e+07
0.000146631 2.73495e+07
0.000148112 2.82483e+07
0.00014952 2.57584e+07
0.000150299 2.58298e+07
0.000151832 2.2589e+07
0.000152783 2.39193e+07
0.000154045 2.28677e+07
0.000155658 2.01911e+07
0.00015665 2.00842e+07
0.0001579 1.82721e+07
0.000159354 1.8208e+07
0.000160279 1.84423e+07
0.000161626 1.67721e+07
0.000163463 1.66354e+07
0.000164644 1.55948e+07
0.000165783 1.54753e+07
0.000167197 1.44005e+07
0.000168799 1.40308e+07
0.000170423 1.38982e+07
0.000171157 1.2721e+07
0.000172744 1.22149e+07
0.000174349 1.18637e+07
0.00017592 1.10347e+07
0.000177497 1.06451e+07
0.000178723 1.07471e+07
0.000180282 1.01443e+07
0.000181376 1.00007e+07
0.000182743 9.33764e+06
0.000184551 9.14179e+06
0.000185977 8.86564e+06
0.000187589 8.47523e+06
0.000188953 7.69862e+06
0.000190863 7.78604e+06
0.000192158 7.56083e+06
0.000193916 7.3095e+06
0.000195504 6.65274e+06
0.000197181 6.64765e+06
0.000198613 6.1067e+06
0.000200148 5.75994e+06
0.000201721 5.54704e+06
0.000203587 5.44328e+06
0.00020541 5.09007e+06
0.000207172 4.75006e+06
0.000208922 4.78418e+06
0.000210371 4.43886e+06
0.000212078 4.24212e+06
0.000214191 4.01488e+06
0.000215596 4.0387e+06
0.00021743 3.59946e+06
0.000219259 3.4373e+06
0.000221084 3.26232e+06
0.00022283 3.14264e+06
0.000224493 3.13288e+06
0.000226376 2.80979e+06
0.000228421 2.79663e+06
0.000230288 2.77043e+06
0.000231928 2.55457e+06
0.00023399 2.40839e+06
0.000236053 2.27086e+06
0.000237805 2.31917e+06
0.000239779 2.11259e+06
0.000241744 2.14659e+06
0.000243673 1.97373e+06
0.000245757 1.94992e+06
0.000247871 1.86516e+06
0.00024984 1.79607e+06
0.000251597 1.71767e+06
0.000253565 1.63996e+06
0.000256 1.56441e+06
0.000258364 1.5068e+06
0.000260499 1.48388e+06
0.000262417 1.36197e+06
0.000264367 1.29575e+06
0.000266592 1.20657e+06
0.000268987 1.1451e+06
0.000271108 1.14966e+06
0.000273349 1.06745e+06
0.000275546 1.00513e+06
0.000277706 959995
0.000280204 903250
0.000282696 917184
0.000284955 880091
0.000287036 791768
0.000289296 764617
0.000291909 754775
0.000294404 732612
0.000296654 704750
0.000299082 699992
0.000301403 650930
0.000303861 604898
0.000306413 580581
0.000308749 544311
0.000311525 531519
0.000313955 503146
0.000316471 492302
0.000319321 485473
0.000322008 444040
0.000324666 419433
0.00032719 395726
0.000329929 384479
0.000332507 374010
0.000335216 364099
0.000337986 336492
0.000340927 317411
0.000343668 304143
0.000346605 288186
0.000349164 282842
0.000352165 261372
0.000355188 251288
0.000358008 248737
0.000361098 231299
0.000363971 221683
0.00036707 203003
0.000369977 203071
0.000373107 191517
0.000376085 187705
0.000379074 177139
0.000382228 168332
0.00038541 162748
0.000388542 154727
0.000391757 146899
0.000394981 141436
0.000398111 129431
0.000401474 125313
0.000404717 119166
0.000407935 116174
0.000411525 112821
0.000414686 109023
0.000418155 103912
0.00042175 97763
0.000425291 90982.7
0.000428636 87784.2
0.000432208 83579.7
0.0004357 81074.1
0.000439332 77130.9
0.000442787 73122.5
0.000446449 70249.2
0.000450291 66678.9
0.000453801 66008.2
0.000457447 61552.4
0.000461323 58115.6
0.000465014 55538.7
0.000468866 53458.6
0.000472806 49833.2
0.00047678 48854.8
0.000480624 46360.9
0.000484555 44529.6
0.000488474 42767
0.000492396 40025.9
0.000496538 39148.7
0.000500678 37042.3
0.000504761 35419.7
0.000508767 33693.1
0.000512959 32543.9
0.000517253 30903.8
0.000521544 28720.5
0.000525774 28283.8
0.000530168 26582.8
0.000534431 25342.6
0.00053878 24032.2
0.000543223 23028.9
0.000547788 22453
0.000552163 21165.8
0.000556755 19762.2
0.000561463 18864
0.000566064 18505.3
0.000570587 17416.7
0.000575277 16218.8
0.000580056 15832.4
0.000584753 15396.4
0.000589576 14676.1
0.000594327 13999.4
0.000599226 13198.9
0.000604166 12594.9
0.000609275 11714.7
0.000614265 11763.7
0.000619191 11053.5
0.000624415 10541
0.000629458 10040.6
0.00063466 9562.73
0.00063975 9089.87
0.00064489 8713.67
0.000650271 8355.23
0.000655619 7861.82
0.000661178 7517.05
0.000666601 7183.46
0.00067198 6814.01
0.000677465 6580.88
0.000682952 6386.92
0.000688602 5978.38
0.000694365 5735.62
0.000699968 5466.57
0.00070566 5170.48
0.000711633 5077.57
0.000717351 4733.36
0.000723301 4437.49
0.000729237 4337.73
0.00073526 4082.01
0.000741287 3968.14
0.000747431 3755.25
0.000753573 3610.25
0.000759705 3452.41
0.000765936 3257.18
0.000772341 3165.66
0.000778615 3002.43
0.000785031 2824.33
0.000791493 2660.67
0.000797999 2583.08
0.000804499 2449.36
0.000811074 2351.94
0.000817707 2263.6
0.000824546 2143.66
0.000831271 2063.37
0.000838002 1961.4
0.000844949 1874.12
0.000851929 1791.4
0.000858954 1678.52
0.000865919 1621.31
0.000873072 1544.14
0.000880195 1486.21
0.000887393 1382.06
0.000894783 1343.58
0.000902097 1282.01
0.00090951 1209.26
0.000916929 1173.83
0.000924423 1112.7
0.00093206 1060.33
0.000939669 1011.69
0.000947384 976.281
0.000955222 936.33
0.000963012 881.092
0.00097096 849.735
0.000978975 808.31
0.000986946 769.019
0.000995044 743.743
0.00100317 703.561
0.00101134 663.916
0.00101966 635.519
0.00102811 609.668
0.0010366 583.545
0.00104515 556.121
0.00105367 528.433
0.0010623 504.213
0.00107099 485.415
0.00107984 457.768
0.00108877 439.273
0.00109754 421.182
0.00110658 402.599
0.00111585 379.73
0.001125 362.578
0.00113422 345.702
0.00114355 335.073
0.00115284 316.848
0.0011623 303.218
0.00117183 292.407
0.00118147 277.118
0.00119124 263.673
0.00120099 254.098
0.00121082 239.757
0.00122077 231.265
0.00123083 220.843
0.00124092 210.191
0.00125109 198.881
0.00126141 192.789
0.00127177 182.851
0.00128216 174.178
0.00129272 165.645
0.00130337 159.537
0.00131407 152.743
0.00132486 144.991
0.00133574 139.425
0.00134668 132.814
0.0013577 127.302
0.0013688 120.966
0.00138009 115.159
0.00139144 110.328
0.00140285 105.165
0.00141438 100.873
0.0014259 95.5778
0.00143763 91.7543
0.00144946 86.8313
0.00146138 83.8381
0.00147343 78.998
0.00148553 76.5552
0.00149773 72.723
0.00150998 69.2697
0.00152238 66.1756
0.00153493 63.469
0.00154754 60.6246
0.0015602 57.9315
0.00157297 55.2512
0.00158593 52.6018
0.00159901 50.4419
0.00161212 48.3247
0.00162533 45.8647
0.00163867 43.7422
0.00165213 42.0833
0.00166568 40.1705
0.00167936 38.2643
0.00169314 36.7986
0.00170706 35.0166
0.00172108 33.3746
0.00173519 32.031
0.00174947 30.5273
0.00176388 29.1268
0.00177833 27.9
0.00179289 26.6644
0.00180762 25.4815
0.0018225 24.4174
0.00183749 23.2722
0.00185259 22.277
0.00186776 21.2689
0.00188308 20.2574
0.00189858 19.4099
0.00191415 18.5293
0.00192986 17.7345
0.00194568 16.9593
0.00196164 16.1989
0.00197781 15.4674
0.00199407 14.7699
0.00201041 14.1383
0.0020269 13.5508
0.00204357 12.952
0.00206031 12.3426
0.00207723 11.8014
0.00209433 11.2465
0.00211151 10.8005
0.00212883 10.3374
0.00214631 9.82306
0.00216395 9.39637
0.00218171 9
0.00219964 8.58782
0.0022177 8.23364
0.00223591 7.86411
0.00225426 7.523
0.00227273 7.20447
0.00229144 6.87446
0.00231024 6.57927
0.00232919 6.2742
0.00234835 6.03106
0.00236765 5.75549
0.00238708 5.51003
0.00240668 5.26045
0.00242645 5.03862
0.00244635 4.81854
0.00246642 4.60625
0.00248668 4.40671
0.00250712 4.20539
0.0025277 4.02926
0.00254846 3.85044
0.00256938 3.68625
0.00259045 3.52321
0.00261172 3.37482
0.00263319 3.22342
0.00265482 3.09178
0.0026766 2.94597
0.00269857 2.82147
0.00272074 2.69736
0.00274311 2.57787
0.00276562 2.46996
0.00278831 2.36793
0.00281122 2.25841
0.00283428 2.16688
0.00285753 2.07185
0.00288102 1.9808
0.00290469 1.89721
0.00292852 1.81063
0.00295255 1.73566
0.00297682 1.66007
0.00300132 1.58775
0.00302595 1.52062
0.00305077 1.45432
0.00307582 1.39138
0.00310109 1.33206
0.00312652 1.27323
0.00315219 1.21677
0.00317808 1.16787
0.00320418 1.11749
0.00323049 1.06992
0.003257 1.02166
0.00328375 0.979629
0.00331073 0.936467
0.00333793 0.896035
0.00336532 0.856442
0.00339295 0.822619
0.00342081 0.786117
0.0034489 0.753786
0.00347724 0.719991
0.00350579 0.689127
0.00353457 0.659627
0.00356356 0.630294
0.0035928 0.604913
0.0036223 0.57885
0.00365206 0.553169
0.00368208 0.530106
0.00371232 0.507301
0.0037428 0.486184
0.00377353 0.464084
0.00380451 0.444951
0.00383574 0.426282
0.00386724 0.408279
0.00389899 0.390439
0.003931 0.37435
0.0039633 0.357735
0.00399584 0.342498
0.00402865 0.327951
0.00406173 0.313919
0.00409507 0.300403
0.00412871 0.287729
0.00416262 0.27576
0.0041968 0.263684
0.00423127 0.252476
0.004266 0.241927
0.00430101 0.231537
0.00433633 0.221582
0.00437195 0.21199
0.00440786 0.203258
0.00444405 0.194319
0.00448053 0.186364
0.00451731 0.178412
0.0045544 0.171016
0.00459181 0.163507
0.00462953 0.156627
0.00466752 0.14982
0.00470583 0.143569
0.00474448 0.137472
0.00478347 0.131743
0.00482275 0.126042
0.00486234 0.120674
0.00490225 0.115651
0.0049425 0.110848
0.0049831 0.106011
0.00502401 0.101607
0.00506526 0.097159
0.00510687 0.0931644
0.00514879 0.0892899
0.00519107 0.0855032
0.0052337 0.0818802
0.00527667 0.0784043
0.00532001 0.0750817
0.00536367 0.0719228
0.00540771 0.0689308
0.00545214 0.0660071
0.0054969 0.0632621
0.00554203 0.0606122
0.00558753 0.0580553
0.00563342 0.0556244
0.00567967 0.0533286
0.00572631 0.0510402
0.00577334 0.048933
0.00582073 0.0469153
0.00586853 0.0449705
0.00591672 0.0431267
0.0059653 0.0413148
0.00601426 0.0396042
0.00606365 0.0379422
0.00611346 0.0363897
0.00616366 0.0349007
0.00621427 0.0334503
0.00626529 0.0320838
0.00631673 0.0307773
0.00636859 0.0295112
0.00642088 0.0283223
0.00647362 0.02717
0.00652677 0.0260797
0.00658036 0.025037
0.0066344 0.0240176
0.00668886 0.0230635
0.00674379 0.0221302
0.00679918 0.0212456
0.00685501 0.0204095
0.00691131 0.0195931
0.00696806 0.0188255
0.00702526 0.0180776
0.00708294 0.0173663
0.00714111 0.0166883
0.00719973 0.0160374
0.00725885 0.0154148
0.00731846 0.0148243
0.00737856 0.0142569
0.00743915 0.0137035
0.00750022 0.0131709
0.0075618 0.0126748
0.0076239 0.0121914
0.00768649 0.0117253
0.00774961 0.0112859
0.00781325 0.0108611
0.00787742 0.0104477
0.0079421 0.0100596
0.0080073 0.0096854
0.00807306 0.00933125
0.00813935 0.00898148
0.00820618 0.00865263
0.00827356 0.0083313
0.0083415 0.00802823
0.00840998 0.00773507
0.00847904 0.00745757
0.00854867 0.0071811
0.00861886 0.00692368
0.00868963 0.00667567
0.00876099 0.00643526
0.00883292 0.00620502
0.00890544 0.00598624
0.00897858 0.00577669
0.00905231 0.00557316
0.00912663 0.00537722
0.00920156 0.00519076
0.00927713 0.00501398
0.0093533 0.00484288
0.0094301 0.00467915
0.00950753 0.00452441
0.0095856 0.00437404
0.00966431 0.00423013
0.00974367 0.00409259
0.00982367 0.00396338
0.00990433 0.00383907
0.00998566 0.00371994
0.0100677 0.00360537
0.0101503 0.00350014
0.0102337 0.00339658
0.0103177 0.00329814
0.0104024 0.00320819
0.0104878 0.00312071
0.010574 0.00303826
0.0106608 0.00296026
0.0107483 0.00288903
0.0108366 0.00282046
0.0109256 0.00275681
0.0110152 0.00269558
0.0111055 0.00257274
0.0111967 0.00243107
0.0112886 0.00230664
0.0113813 0.00219626
0.0114748 0.00209757
0.011569 0.00200843
0.011664 0.00192734
0.0117598 0.00185358
0.0118563 0.00178467
0.0119537 0.0017216
0.0120518 0.00166271
0.0121508 0.00160789
0.0122505 0.0015565
0.0123511 0.00150902
0.0124525 0.00146392
0.0125548 0.00142129
0.0126579 0.00138171
0.0127618 0.00134304
0.0128666 0.00130715
0.0129722 0.00127317
0.0130787 0.0012409
0.0131861 0.00121042
0.0132944 0.00118092
0.0134035 0.0011533
0.0135136 0.00112704
0.0136245 0.00110224
0.0137363 0.00107926
0.0138491 0.0010565
0.0139628 0.00103611
0.0140774 0.00101646
0.014193 0.00099815
0.0143095 0.000980648
0.014427 0.000964309
0.0145454 0.000949271
0.0146648 0.000934319
0.0147852 0.000920466
0.0149065 0.000906409
0.0150288 0.000892334
0.0151522 0.000876824
0.0152765 0.000859693
0.0154018 0.000838954
0.0155281 0.000812396
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