# k P_nu(k)
# a = 0.0619156
# nbins = 695
1.22718e-05 3.13296e+09
1.7355e-05 1.40614e+09
2.12555e-05 7.94432e+08
2.45437e-05 5.02213e+08
2.74407e-05 3.4184e+08
3.00598e-05 2.45299e+08
3.471e-05 1.41626e+08
3.68155e-05 1.11189e+08
3.8807e-05 8.91615e+07
4.07011e-05 7.39758e+07
4.25109e-05 6.17211e+07
4.42468e-05 5.26987e+07
4.5917e-05 4.49133e+07
4.90874e-05 3.47803e+07
5.05981e-05 3.06419e+07
5.2065e-05 2.75247e+07
5.34917e-05 2.44118e+07
5.48814e-05 2.21395e+07
5.62367e-05 2.01462e+07
5.75601e-05 1.85191e+07
6.01195e-05 1.53267e+07
6.13592e-05 1.42055e+07
6.25744e-05 1.30608e+07
6.37664e-05 1.20796e+07
6.60859e-05 1.04387e+07
6.72157e-05 9.69917e+06
6.942e-05 8.56763e+06
7.04964e-05 7.90256e+06
7.15565e-05 7.28376e+06
7.26012e-05 6.9359e+06
7.36311e-05 6.4386e+06
7.46467e-05 5.95736e+06
7.56487e-05 5.71072e+06
7.7614e-05 4.94489e+06
7.85782e-05 4.70876e+06
7.95307e-05 4.38236e+06
8.04719e-05 4.08959e+06
8.14022e-05 3.90837e+06
8.2322e-05 3.66072e+06
8.32317e-05 3.48049e+06
8.50218e-05 3.13609e+06
8.59029e-05 2.95102e+06
8.67751e-05 2.78937e+06
8.76385e-05 2.62985e+06
8.84935e-05 2.58356e+06
8.93404e-05 2.41797e+06
9.01793e-05 2.27427e+06
9.18341e-05 2.08299e+06
9.26504e-05 1.95063e+06
9.34596e-05 1.87629e+06
9.42618e-05 1.7768e+06
9.58462e-05 1.63908e+06
9.66286e-05 1.57174e+06
9.81748e-05 1.45918e+06
9.89388e-05 1.39958e+06
9.9697e-05 1.33856e+06
0.000100947 1.24716e+06
0.000101938 1.20592e+06
0.000102674 1.16278e+06
0.00010413 1.08826e+06
0.000104851 1.0498e+06
0.000105793 1.00128e+06
0.000106983 950185
0.000107685 927686
0.000108382 908039
0.000109763 822200
0.000110447 827208
0.000111126 786098
0.00011207 765607
0.000113141 724319
0.000113804 721319
0.00011512 675223
0.000115772 663759
0.000116605 637897
0.000118768 591367
0.000120655 558256
0.000121732 527183
0.000122718 503811
0.000123466 493578
0.000125149 460350
0.000125749 456899
0.000126644 440693
0.000127941 415822
0.000128708 411077
0.000130739 369873
0.000131943 356745
0.000132953 344430
0.000134431 325625
0.000135328 316958
0.000136101 298163
0.000137477 285625
0.00013884 261276
0.000139516 264918
0.000140611 251238
0.000141939 236831
0.000143463 220111
0.000144385 219664
0.000145548 204916
0.000146631 193392
0.000148112 187008
0.00014952 174676
0.000150299 171482
0.000151832 157504
0.000152783 155896
0.000154045 148468
0.000155658 137074
0.00015665 133379
0.0001579 125613
0.000159354 120850
0.000160279 118563
0.000161626 111572
0.000163463 106470
0.000164644 101652
0.000165783 99331.9
0.000167197 93767.6
0.000168799 90266
0.000170423 86729.3
0.000171157 83253
0.000172744 79735.2
0.000174349 76700.5
0.00017592 72402.9
0.000177497 69640.8
0.000178723 68232.5
0.000180282 65071.4
0.000181376 63289.9
0.000182743 60566.9
0.000184551 58053.8
0.000185977 55972.1
0.000187589 53552.8
0.000188953 50597.2
0.000190863 48848.1
0.000192158 47213
0.000193916 45146.2
0.000195504 42423.2
0.000197181 40909.8
0.000198613 38846.4
0.000200148 36990.8
0.000201721 35361.7
0.000203587 33741.5
0.00020541 31821.5
0.000207172 30037.7
0.000208922 28977.2
0.000210371 27539.3
0.000212078 26215.6
0.000214191 24769.7
0.000215596 24093.3
0.00021743 22542.8
0.000219259 21430.2
0.000221084 20329.5
0.00022283 19530.8
0.000224493 18945.1
0.000226376 17672.8
0.000228421 17094.2
0.000230288 16503
0.000231928 15733
0.00023399 14849.5
0.000236053 14211.4
0.000237805 13884.2
0.000239779 13084
0.000241744 12731
0.000243673 12078.5
0.000245757 11653
0.000247871 11142.4
0.00024984 10724.9
0.000251597 10249
0.000253565 9786.94
0.000256 9285.07
0.000258364 8881.93
0.000260499 8504.37
0.000262417 8035.06
0.000264367 7705.56
0.000266592 7288.33
0.000268987 6944.3
0.000271108 6650.74
0.000273349 6293.44
0.000275546 5948.92
0.000277706 5705.04
0.000280204 5382.07
0.000282696 5210.27
0.000284955 4950.75
0.000287036 4678.19
0.000289296 4480.69
0.000291909 4301.49
0.000294404 4115.63
0.000296654 3960.45
0.000299082 3818.53
0.000301403 3614.92
0.000303861 3438.58
0.000306413 3284.21
0.000308749 3130.04
0.000311525 2994.5
0.000313955 2871.7
0.000316471 2745.07
0.000319321 2634.42
0.000322008 2474.69
0.000324666 2360.14
0.00032719 2241.88
0.000329929 2153.02
0.000332507 2064.68
0.000335216 1970.58
0.000337986 1863.49
0.000340927 1759.74
0.000343668 1673.23
0.000346605 1592.99
0.000349164 1534.51
0.000352165 1441.89
0.000355188 1376.75
0.000358008 1334.01
0.000361098 1260.07
0.000363971 1200.86
0.00036707 1133.9
0.000369977 1098.25
0.000373107 1039.61
0.000376085 998.123
0.000379074 947.883
0.000382228 901.894
0.00038541 867.266
0.000388542 825.42
0.000391757 780.15
0.000394981 750.086
0.000398111 703.344
0.000401474 671.583
0.000404717 640.517
0.000407935 613.754
0.000411525 582.229
0.000414686 561.823
0.000418155 534.502
0.00042175 507.635
0.000425291 476.952
0.000428636 456.191
0.000432208 435.433
0.0004357 418.477
0.000439332 397.592
0.000442787 378.077
0.000446449 361.03
0.000450291 342.167
0.000453801 330.269
0.000457447 311.488
0.000461323 297.017
0.000465014 282.035
0.000468866 269.593
0.000472806 254.639
0.00047678 244.318
0.000480624 230.799
0.000484555 222.267
0.000488474 211.432
0.000492396 200.414
0.000496538 192.11
0.000500678 182.708
0.000504761 173.921
0.000508767 165.397
0.000512959 157.433
0.000517253 150.418
0.000521544 141.697
0.000525774 136.398
0.000530168 129.15
0.000534431 122.773
0.00053878 115.762
0.000543223 110.932
0.000547788 106.195
0.000552163 100.807
0.000556755 95.9394
0.000561463 90.5332
0.000566064 87.1493
0.000570587 82.8199
0.000575277 77.6165
0.000580056 74.556
0.000584753 71.817
0.000589576 67.7604
0.000594327 64.8991
0.000599226 61.3314
0.000604166 58.339
0.000609275 55.3769
0.000614265 53.0016
0.000619191 50.7605
0.000624415 47.8109
0.000629458 45.5881
0.00063466 43.3086
0.00063975 41.3396
0.00064489 39.3725
0.000650271 37.6171
0.000655619 35.5067
0.000661178 33.736
0.000666601 32.1289
0.00067198 30.4364
0.000677465 29.3153
0.000682952 27.9992
0.000688602 26.3001
0.000694365 25.2373
0.000699968 23.9832
0.00070566 22.6158
0.000711633 21.5837
0.000717351 20.5377
0.000723301 19.4792
0.000729237 18.6247
0.00073526 17.5751
0.000741287 16.8083
0.000747431 15.9623
0.000753573 15.3168
0.000759705 14.5401
0.000765936 13.7531
0.000772341 13.151
0.000778615 12.4788
0.000785031 11.8973
0.000791493 11.1911
0.000797999 10.7241
0.000804499 10.1422
0.000811074 9.70721
0.000817707 9.20611
0.000824546 8.73182
0.000831271 8.30455
0.000838002 7.8758
0.000844949 7.51512
0.000851929 7.18693
0.000858954 6.77387
0.000865919 6.48147
0.000873072 6.14245
0.000880195 5.85802
0.000887393 5.51982
0.000894783 5.2887
0.000902097 5.00183
0.00090951 4.76945
0.000916929 4.53968
0.000924423 4.294
0.00093206 4.07593
0.000939669 3.8837
0.000947384 3.70056
0.000955222 3.52643
0.000963012 3.35299
0.00097096 3.17929
0.000978975 3.02602
0.000986946 2.8457
0.000995044 2.73029
0.00100317 2.59037
0.00101134 2.46886
0.00101966 2.35625
0.00102811 2.22386
0.0010366 2.11054
0.00104515 2.00535
0.00105367 1.91103
0.0010623 1.79517
0.00107099 1.72687
0.00107984 1.63476
0.00108877 1.5601
0.00109754 1.48064
0.00110658 1.40919
0.00111585 1.33387
0.001125 1.26368
0.00113422 1.20381
0.00114355 1.14075
0.00115284 1.08024
0.0011623 1.03236
0.00117183 0.978631
0.00118147 0.929556
0.00119124 0.886116
0.00120099 0.848724
0.00121082 0.801765
0.00122077 0.761751
0.00123083 0.722278
0.00124092 0.684907
0.00125109 0.647223
0.00126141 0.615854
0.00127177 0.590147
0.00128216 0.559814
0.00129272 0.530444
0.00130337 0.502625
0.00131407 0.478249
0.00132486 0.454841
0.00133574 0.429935
0.00134668 0.40974
0.0013577 0.388819
0.0013688 0.369874
0.00138009 0.352508
0.00139144 0.330908
0.00140285 0.31594
0.00141438 0.300974
0.0014259 0.285889
0.00143763 0.270969
0.00144946 0.259201
0.00146138 0.245476
0.00147343 0.231734
0.00148553 0.220061
0.00149773 0.20894
0.00150998 0.199389
0.00152238 0.189046
0.00153493 0.179009
0.00154754 0.171006
0.0015602 0.16183
0.00157297 0.154213
0.00158593 0.145591
0.00159901 0.138063
0.00161212 0.130845
0.00162533 0.124885
0.00163867 0.117728
0.00165213 0.112625
0.00166568 0.106908
0.00167936 0.101273
0.00169314 0.0960861
0.00170706 0.0911635
0.00172108 0.086697
0.00173519 0.0823457
0.00174947 0.078056
0.00176388 0.074132
0.00177833 0.0704288
0.00179289 0.0668869
0.00180762 0.0633569
0.0018225 0.0601827
0.00183749 0.0572417
0.00185259 0.0542253
0.00186776 0.0512418
0.00188308 0.0487596
0.00189858 0.0463719
0.00191415 0.0440292
0.00192986 0.0416743
0.00194568 0.0397184
0.00196164 0.0376266
0.00197781 0.0357545
0.00199407 0.0339433
0.00201041 0.0321875
0.0020269 0.0306101
0.00204357 0.0289482
0.00206031 0.0275257
0.00207723 0.0260564
0.00209433 0.0248059
0.00211151 0.0235113
0.00212883 0.0223152
0.00214631 0.021151
0.00216395 0.0200846
0.00218171 0.0190856
0.00219964 0.0181342
0.0022177 0.017146
0.00223591 0.0162883
0.00225426 0.0154607
0.00227273 0.0146523
0.00229144 0.0139475
0.00231024 0.0132513
0.00232919 0.0125311
0.00234835 0.0119186
0.00236765 0.0113023
0.00238708 0.0107187
0.00240668 0.0101713
0.00242645 0.00965994
0.00244635 0.00914498
0.00246642 0.00867272
0.00248668 0.00825223
0.00250712 0.00782828
0.0025277 0.0074359
0.00254846 0.00705261
0.00256938 0.00668563
0.00259045 0.0063402
0.00261172 0.00603138
0.00263319 0.00571526
0.00265482 0.00542345
0.0026766 0.00513563
0.00269857 0.00489152
0.00272074 0.00462478
0.00274311 0.00440533
0.00276562 0.00417713
0.00278831 0.00396331
0.00281122 0.00375776
0.00283428 0.00356949
0.00285753 0.00337613
0.00288102 0.00321189
0.00290469 0.00305133
0.00292852 0.00289261
0.00295255 0.00274369
0.00297682 0.00259787
0.00300132 0.0024639
0.00302595 0.00234608
0.00305077 0.00221992
0.00307582 0.00210209
0.00310109 0.00199846
0.00312652 0.00189291
0.00315219 0.00179476
0.00317808 0.00170607
0.00320418 0.0016101
0.00323049 0.00152796
0.003257 0.00145068
0.00328375 0.00137703
0.00331073 0.00130376
0.00333793 0.00123434
0.00336532 0.00117053
0.00339295 0.00111197
0.00342081 0.00105276
0.0034489 0.000998194
0.00347724 0.000944371
0.00350579 0.000896205
0.00353457 0.000850433
0.00356356 0.000806066
0.0035928 0.000762209
0.0036223 0.000723274
0.00365206 0.000686827
0.00368208 0.000650166
0.00371232 0.000616447
0.0037428 0.000585346
0.00377353 0.000554198
0.00380451 0.000525093
0.00383574 0.000498794
0.00386724 0.000472172
0.00389899 0.000447848
0.003931 0.000424732
0.0039633 0.000402884
0.00399584 0.000381816
0.00402865 0.000362191
0.00406173 0.000343957
0.00409507 0.00032651
0.00412871 0.00030965
0.00416262 0.000293782
0.0041968 0.000278571
0.00423127 0.00026401
0.004266 0.000250922
0.00430101 0.000237911
0.00433633 0.000226108
0.00437195 0.000214313
0.00440786 0.000203622
0.00444405 0.00019302
0.00448053 0.000183657
0.00451731 0.000174215
0.0045544 0.000165733
0.00459181 0.000157487
0.00462953 0.000149639
0.00466752 0.00014245
0.00470583 0.000135273
0.00474448 0.000128766
0.00478347 0.000122271
0.00482275 0.000116467
0.00486234 0.000110911
0.00490225 0.000105534
0.0049425 0.000100631
0.0049831 9.59261e-05
0.00502401 9.15871e-05
0.00506526 8.72458e-05
0.00510687 8.3181e-05
0.00514879 7.94351e-05
0.00519107 7.59437e-05
0.0052337 7.26186e-05
0.00527667 6.94469e-05
0.00532001 6.64693e-05
0.00536367 6.37239e-05
0.00540771 6.10978e-05
0.00545214 5.85908e-05
0.0054969 5.6287e-05
0.00554203 5.40902e-05
0.00558753 5.20171e-05
0.00563342 5.01093e-05
0.00567967 4.8297e-05
0.00572631 4.66162e-05
0.00577334 4.50646e-05
0.00582073 4.36113e-05
0.00586853 4.22598e-05
0.00591672 4.09387e-05
0.0059653 3.98174e-05
0.00601426 3.87307e-05
0.00606365 3.77029e-05
0.00611346 3.68423e-05
0.00616366 3.60324e-05
0.00621427 3.52778e-05
0.00626529 3.45931e-05
0.00631673 3.40065e-05
0.00636859 3.34755e-05
0.00642088 3.30682e-05
0.00647362 3.26505e-05
0.00652677 3.22912e-05
0.00658036 3.21454e-05
0.0066344 3.18909e-05
0.00668886 3.18125e-05
0.00674379 3.17423e-05
0.00679918 3.18063e-05
0.00685501 3.19065e-05
0.00691131 3.20505e-05
0.00696806 3.22156e-05
0.00702526 3.25347e-05
0.00708294 3.28842e-05
0.00714111 3.33519e-05
0.00719973 3.38001e-05
0.00725885 3.44362e-05
0.00731846 3.50728e-05
0.00737856 3.57483e-05
0.00743915 3.65737e-05
0.00750022 3.74825e-05
0.0075618 3.8411e-05
0.0076239 3.9533e-05
0.00768649 4.07044e-05
0.00774961 4.19611e-05
0.00781325 4.33586e-05
0.00787742 4.48661e-05
0.0079421 4.63914e-05
0.0080073 4.81067e-05
0.00807306 5.00567e-05
0.00813935 5.18631e-05
0.00820618 5.40979e-05
0.00827356 5.61502e-05
0.0083415 5.87111e-05
0.00840998 6.09892e-05
0.00847904 6.38798e-05
0.00854867 6.67937e-05
0.00861886 6.92682e-05
0.00868963 7.22407e-05
0.00876099 7.59232e-05
0.00883292 7.90957e-05
0.00890544 8.22764e-05
0.00897858 8.55613e-05
0.00905231 8.89594e-05
0.00912663 9.2494e-05
0.00920156 9.54076e-05
0.00927713 9.85482e-05
0.0093533 0.000102297
0.0094301 0.00010454
0.00950753 0.000106934
0.0095856 0.000109002
0.00966431 0.000109032
0.00974367 0.000109686
0.00982367 0.000109587
0.00990433 0.000109046
0.00998566 0.000106112
0.0100677 0.000105983
0.0101503 0.000103394
0.0102337 9.99265e-05
0.0103177 9.68025e-05
0.0104024 9.38815e-05
0.0104878 9.0803e-05
0.010574 8.7709e-05
0.0106608 8.48244e-05
0.0107483 8.20149e-05
0.0108366 7.96147e-05
0.0109256 7.75205e-05
0.0110152 7.40363e-05
0.0111055 2.60948e-05
0.0111967 1.00095e-05
0.0112886 6.32165e-06
0.0113813 4.99813e-06
0.0114748 4.4641e-06
0.011569 4.26767e-06
0.011664 4.24738e-06
0.0117598 4.33796e-06
0.0118563 4.51373e-06
0.0119537 4.75974e-06
0.0120518 5.06712e-06
0.0121508 5.43721e-06
0.0122505 5.87387e-06
0.0123511 6.38021e-06
0.0124525 6.96999e-06
0.0125548 7.64875e-06
0.0126579 8.4125e-06
0.0127618 9.29655e-06
0.0128666 1.02849e-05
0.0129722 1.14219e-05
0.0130787 1.2721e-05
0.0131861 1.41682e-05
0.0132944 1.58398e-05
0.0134035 1.76756e-05
0.0135136 1.97866e-05
0.0136245 2.20903e-05
0.0137363 2.47012e-05
0.0138491 2.76104e-05
0.0139628 3.08059e-05
0.0140774 3.42426e-05
0.014193 3.8091e-05
0.0143095 4.19706e-05
0.014427 4.61309e-05
0.0145454 5.00823e-05
0.0146648 5.37776e-05
0.0147852 5.69961e-05
0.0149065 5.87903e-05
0.0150288 5.89693e-05
0.0151522 5.66624e-05
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