# k P_nu(k)
# a = 0.525585
# nbins = 695
1.22718e-05 1.48363e+12
1.7355e-05 8.98246e+11
2.12555e-05 6.04029e+11
2.45437e-05 4.24976e+11
2.74407e-05 3.15317e+11
3.00598e-05 2.4412e+11
3.471e-05 1.62775e+11
3.68155e-05 1.28764e+11
3.8807e-05 1.0315e+11
4.07011e-05 9.2554e+10
4.25109e-05 7.80255e+10
4.42468e-05 7.06307e+10
4.5917e-05 5.89241e+10
4.90874e-05 5.18526e+10
5.05981e-05 4.50639e+10
5.2065e-05 4.30934e+10
5.34917e-05 3.6203e+10
5.48814e-05 3.43012e+10
5.62367e-05 3.21219e+10
5.75601e-05 3.14226e+10
6.01195e-05 2.44415e+10
6.13592e-05 2.40703e+10
6.25744e-05 2.17448e+10
6.37664e-05 2.03764e+10
6.60859e-05 1.84183e+10
6.72157e-05 1.71487e+10
6.942e-05 1.71208e+10
7.04964e-05 1.48109e+10
7.15565e-05 1.25559e+10
7.26012e-05 1.35448e+10
7.36311e-05 1.21415e+10
7.46467e-05 1.0178e+10
7.56487e-05 1.12085e+10
7.7614e-05 8.92212e+09
7.85782e-05 9.20103e+09
7.95307e-05 8.11073e+09
8.04719e-05 7.15238e+09
8.14022e-05 7.61826e+09
8.2322e-05 6.66553e+09
8.32317e-05 6.73642e+09
8.50218e-05 6.10949e+09
8.59029e-05 5.9473e+09
8.67751e-05 5.55481e+09
8.76385e-05 5.08295e+09
8.84935e-05 6.15116e+09
8.93404e-05 5.31223e+09
9.01793e-05 4.72913e+09
9.18341e-05 4.6609e+09
9.26504e-05 3.86544e+09
9.34596e-05 4.03816e+09
9.42618e-05 3.58887e+09
9.58462e-05 3.44635e+09
9.66286e-05 3.29979e+09
9.81748e-05 3.21002e+09
9.89388e-05 3.17317e+09
9.9697e-05 2.89891e+09
0.000100947 2.51546e+09
0.000101938 2.83756e+09
0.000102674 2.68946e+09
0.00010413 2.64938e+09
0.000104851 2.50093e+09
0.000105793 2.26891e+09
0.000106983 2.1208e+09
0.000107685 2.27196e+09
0.000108382 2.31651e+09
0.000109763 1.76122e+09
0.000110447 2.02109e+09
0.000111126 1.71146e+09
0.00011207 1.82468e+09
0.000113141 1.58219e+09
0.000113804 1.79087e+09
0.00011512 1.53663e+09
0.000115772 1.61986e+09
0.000116605 1.52579e+09
0.000118768 1.44052e+09
0.000120655 1.47811e+09
0.000121732 1.27475e+09
0.000122718 1.23369e+09
0.000123466 1.22112e+09
0.000125149 1.05624e+09
0.000125749 1.19694e+09
0.000126644 1.13685e+09
0.000127941 1.04197e+09
0.000128708 1.16784e+09
0.000130739 8.85001e+08
0.000131943 9.15739e+08
0.000132953 9.529e+08
0.000134431 8.74778e+08
0.000135328 8.74131e+08
0.000136101 7.07332e+08
0.000137477 7.31142e+08
0.00013884 5.46648e+08
0.000139516 7.28068e+08
0.000140611 6.75724e+08
0.000141939 6.23509e+08
0.000143463 5.34989e+08
0.000144385 6.34434e+08
0.000145548 5.52295e+08
0.000146631 4.80568e+08
0.000148112 5.2765e+08
0.00014952 4.72884e+08
0.000150299 4.7107e+08
0.000151832 4.01061e+08
0.000152783 4.56108e+08
0.000154045 4.42382e+08
0.000155658 3.70111e+08
0.00015665 3.79642e+08
0.0001579 3.31816e+08
0.000159354 3.47877e+08
0.000160279 3.65981e+08
0.000161626 3.20258e+08
0.000163463 3.29741e+08
0.000164644 3.07509e+08
0.000165783 2.94608e+08
0.000167197 2.83768e+08
0.000168799 2.71089e+08
0.000170423 2.83897e+08
0.000171157 2.45436e+08
0.000172744 2.32867e+08
0.000174349 2.26422e+08
0.00017592 2.13678e+08
0.000177497 2.0305e+08
0.000178723 2.10996e+08
0.000180282 1.99775e+08
0.000181376 1.99936e+08
0.000182743 1.78742e+08
0.000184551 1.81034e+08
0.000185977 1.75604e+08
0.000187589 1.65836e+08
0.000188953 1.5037e+08
0.000190863 1.56651e+08
0.000192158 1.51934e+08
0.000193916 1.48201e+08
0.000195504 1.33062e+08
0.000197181 1.38375e+08
0.000198613 1.2015e+08
0.000200148 1.14512e+08
0.000201721 1.09929e+08
0.000203587 1.12724e+08
0.00020541 1.02946e+08
0.000207172 9.73832e+07
0.000208922 1.04104e+08
0.000210371 9.46674e+07
0.000212078 8.86523e+07
0.000214191 8.16263e+07
0.000215596 8.59967e+07
0.00021743 7.24944e+07
0.000219259 7.14789e+07
0.000221084 6.80722e+07
0.00022283 6.33282e+07
0.000224493 6.47294e+07
0.000226376 5.89448e+07
0.000228421 5.81601e+07
0.000230288 5.91907e+07
0.000231928 5.20554e+07
0.00023399 5.09482e+07
0.000236053 4.59582e+07
0.000237805 4.94311e+07
0.000239779 4.38157e+07
0.000241744 4.67694e+07
0.000243673 4.08609e+07
0.000245757 4.17871e+07
0.000247871 3.98298e+07
0.00024984 3.80616e+07
0.000251597 3.72958e+07
0.000253565 3.58885e+07
0.000256 3.5486e+07
0.000258364 3.2808e+07
0.000260499 3.40627e+07
0.000262417 3.15453e+07
0.000264367 2.89433e+07
0.000266592 2.57508e+07
0.000268987 2.39348e+07
0.000271108 2.6009e+07
0.000273349 2.37886e+07
0.000275546 2.31947e+07
0.000277706 2.11205e+07
0.000280204 2.00226e+07
0.000282696 2.11241e+07
0.000284955 2.0924e+07
0.000287036 1.81461e+07
0.000289296 1.76971e+07
0.000291909 1.7557e+07
0.000294404 1.67663e+07
0.000296654 1.6602e+07
0.000299082 1.6653e+07
0.000301403 1.59264e+07
0.000303861 1.42398e+07
0.000306413 1.35404e+07
0.000308749 1.28325e+07
0.000311525 1.26842e+07
0.000313955 1.15998e+07
0.000316471 1.16981e+07
0.000319321 1.17398e+07
0.000322008 1.05397e+07
0.000324666 9.89075e+06
0.00032719 9.62957e+06
0.000329929 9.3614e+06
0.000332507 8.84273e+06
0.000335216 9.05133e+06
0.000337986 8.09179e+06
0.000340927 7.75845e+06
0.000343668 7.62271e+06
0.000346605 7.24033e+06
0.000349164 7.06575e+06
0.000352165 6.58166e+06
0.000355188 6.46248e+06
0.000358008 6.17702e+06
0.000361098 5.64055e+06
0.000363971 5.73314e+06
0.00036707 5.21924e+06
0.000369977 5.10754e+06
0.000373107 4.94649e+06
0.000376085 5.11242e+06
0.000379074 4.69698e+06
0.000382228 4.53138e+06
0.00038541 4.23243e+06
0.000388542 4.08126e+06
0.000391757 3.89e+06
0.000394981 3.6873e+06
0.000398111 3.50846e+06
0.000401474 3.36544e+06
0.000404717 3.29844e+06
0.000407935 3.16622e+06
0.000411525 3.07739e+06
0.000414686 2.89324e+06
0.000418155 2.79808e+06
0.00042175 2.6228e+06
0.000425291 2.53366e+06
0.000428636 2.43531e+06
0.000432208 2.26082e+06
0.0004357 2.27586e+06
0.000439332 2.1677e+06
0.000442787 2.07486e+06
0.000446449 2.03848e+06
0.000450291 1.88634e+06
0.000453801 1.9049e+06
0.000457447 1.77621e+06
0.000461323 1.6854e+06
0.000465014 1.63444e+06
0.000468866 1.54339e+06
0.000472806 1.51148e+06
0.00047678 1.42273e+06
0.000480624 1.38755e+06
0.000484555 1.33286e+06
0.000488474 1.30883e+06
0.000492396 1.20242e+06
0.000496538 1.16412e+06
0.000500678 1.12604e+06
0.000504761 1.08194e+06
0.000508767 1.01853e+06
0.000512959 1.0069e+06
0.000517253 928424
0.000521544 896047
0.000525774 875868
0.000530168 841037
0.000534431 804701
0.00053878 783397
0.000543223 744889
0.000547788 719823
0.000552163 685575
0.000556755 632034
0.000561463 637880
0.000566064 586233
0.000570587 567195
0.000575277 547957
0.000580056 534681
0.000584753 511283
0.000589576 491543
0.000594327 476920
0.000599226 464948
0.000604166 434221
0.000609275 413569
0.000614265 396404
0.000619191 385255
0.000624415 369562
0.000629458 347419
0.00063466 346014
0.00063975 328138
0.00064489 309022
0.000650271 304076
0.000655619 291521
0.000661178 271952
0.000666601 261555
0.00067198 251053
0.000677465 244745
0.000682952 230082
0.000688602 225043
0.000694365 212158
0.000699968 207397
0.00070566 201109
0.000711633 193654
0.000717351 183430
0.000723301 177193
0.000729237 165553
0.00073526 160591
0.000741287 155552
0.000747431 149882
0.000753573 145356
0.000759705 138810
0.000765936 132489
0.000772341 128447
0.000778615 122082
0.000785031 116031
0.000791493 114006
0.000797999 107827
0.000804499 103083
0.000811074 100442
0.000817707 95034.3
0.000824546 91397.3
0.000831271 88206.3
0.000838002 84725
0.000844949 81558.3
0.000851929 78839.4
0.000858954 75514.5
0.000865919 72225.7
0.000873072 68944.5
0.000880195 66566.9
0.000887393 63137.7
0.000894783 60560
0.000902097 58113.5
0.00090951 55605.4
0.000916929 53968.1
0.000924423 52043.4
0.00093206 50317.9
0.000939669 48550.4
0.000947384 46157.1
0.000955222 44447
0.000963012 42646.4
0.00097096 41069.5
0.000978975 39711.3
0.000986946 37623.1
0.000995044 36180.7
0.00100317 34721.5
0.00101134 33440.1
0.00101966 31918.7
0.00102811 30974
0.0010366 29262.4
0.00104515 28321.2
0.00105367 27457
0.0010623 26021.9
0.00107099 25094.4
0.00107984 24180.5
0.00108877 23197.1
0.00109754 22197
0.00110658 21530.4
0.00111585 20409.8
0.001125 19941.3
0.00113422 18906.6
0.00114355 18435.5
0.00115284 17571.3
0.0011623 16858.8
0.00117183 16145.6
0.00118147 15445
0.00119124 14884.3
0.00120099 14251
0.00121082 13700.6
0.00122077 13241.5
0.00123083 12716.7
0.00124092 12227.9
0.00125109 11764
0.00126141 11295.6
0.00127177 10805.7
0.00128216 10363.8
0.00129272 9950.16
0.00130337 9566.8
0.00131407 9167.72
0.00132486 8757.3
0.00133574 8449.3
0.00134668 8146.68
0.0013577 7798.57
0.0013688 7552.87
0.00138009 7207.86
0.00139144 6940.34
0.00140285 6648.72
0.00141438 6394.7
0.0014259 6159.33
0.00143763 5916.64
0.00144946 5635.63
0.00146138 5441.36
0.00147343 5192.52
0.00148553 5007.7
0.00149773 4798.33
0.00150998 4587.04
0.00152238 4459.64
0.00153493 4245.2
0.00154754 4092.18
0.0015602 3915.21
0.00157297 3739.58
0.00158593 3619.26
0.00159901 3467.58
0.00161212 3329.66
0.00162533 3216.51
0.00163867 3068.44
0.00165213 2972.86
0.00166568 2812.16
0.00167936 2707.81
0.00169314 2607.5
0.00170706 2495.92
0.00172108 2401.46
0.00173519 2297.43
0.00174947 2206.19
0.00176388 2120.2
0.00177833 2032.62
0.00179289 1964.41
0.00180762 1870.48
0.0018225 1799.7
0.00183749 1731.09
0.00185259 1653.97
0.00186776 1598.8
0.00188308 1524.85
0.00189858 1465.82
0.00191415 1407.28
0.00192986 1349.75
0.00194568 1289.04
0.00196164 1236.82
0.00197781 1190.53
0.00199407 1138.3
0.00201041 1097.1
0.0020269 1047.07
0.00204357 1004.9
0.00206031 965.043
0.00207723 926.349
0.00209433 887.767
0.00211151 853.681
0.00212883 817.915
0.00214631 781.996
0.00216395 750.418
0.00218171 717.828
0.00219964 691.781
0.0022177 660.762
0.00223591 633.002
0.00225426 606.298
0.00227273 581.683
0.00229144 558.908
0.00231024 535.401
0.00232919 512.277
0.00234835 491.173
0.00236765 471.66
0.00238708 452.88
0.00240668 431.813
0.00242645 414.693
0.00244635 396.623
0.00246642 379.802
0.00248668 364.916
0.00250712 349.525
0.0025277 334.662
0.00254846 319.439
0.00256938 305.727
0.00259045 293.739
0.00261172 281.15
0.00263319 268.981
0.00265482 258.373
0.0026766 247.265
0.00269857 236.647
0.00272074 226.432
0.00274311 216.518
0.00276562 207.558
0.00278831 198.104
0.00281122 189.94
0.00283428 182.016
0.00285753 173.75
0.00288102 166.367
0.00290469 159.459
0.00292852 152.299
0.00295255 145.723
0.00297682 139.603
0.00300132 133.949
0.00302595 127.853
0.00305077 122.252
0.00307582 117.048
0.00310109 111.823
0.00312652 107.005
0.00315219 102.314
0.00317808 97.765
0.00320418 93.5659
0.00323049 89.4173
0.003257 85.5344
0.00328375 81.8357
0.00331073 78.2949
0.00333793 75.0186
0.00336532 71.6008
0.00339295 68.4012
0.00342081 65.4664
0.0034489 62.4762
0.00347724 59.8086
0.00350579 57.0612
0.00353457 54.5639
0.00356356 52.0803
0.0035928 49.8132
0.0036223 47.5956
0.00365206 45.4837
0.00368208 43.4062
0.00371232 41.4351
0.0037428 39.6266
0.00377353 37.8988
0.00380451 36.1662
0.00383574 34.5697
0.00386724 33.0149
0.00389899 31.4532
0.003931 30.1232
0.0039633 28.7364
0.00399584 27.4811
0.00402865 26.2135
0.00406173 25.0239
0.00409507 23.8799
0.00412871 22.8053
0.00416262 21.7685
0.0041968 20.8187
0.00423127 19.8664
0.004266 18.958
0.00430101 18.0828
0.00433633 17.2654
0.00437195 16.464
0.00440786 15.7332
0.00444405 15.0148
0.00448053 14.3203
0.00451731 13.6684
0.0045544 13.0531
0.00459181 12.4314
0.00462953 11.8683
0.00466752 11.3211
0.00470583 10.8063
0.00474448 10.3095
0.00478347 9.84263
0.00482275 9.37733
0.00486234 8.94322
0.00490225 8.53681
0.0049425 8.14485
0.0049831 7.77055
0.00502401 7.41264
0.00506526 7.072
0.00510687 6.74069
0.00514879 6.43403
0.00519107 6.12918
0.0052337 5.85123
0.00527667 5.58098
0.00532001 5.32236
0.00536367 5.07352
0.00540771 4.83861
0.00545214 4.61142
0.0054969 4.40008
0.00554203 4.19615
0.00558753 3.99994
0.00563342 3.81755
0.00567967 3.63688
0.00572631 3.46955
0.00577334 3.30759
0.00582073 3.15017
0.00586853 3.00559
0.00591672 2.86496
0.0059653 2.73078
0.00601426 2.60245
0.00606365 2.48194
0.00611346 2.36422
0.00616366 2.25434
0.00621427 2.14843
0.00626529 2.04894
0.00631673 1.95288
0.00636859 1.86132
0.00642088 1.77384
0.00647362 1.6906
0.00652677 1.61059
0.00658036 1.53623
0.0066344 1.46308
0.00668886 1.394
0.00674379 1.32984
0.00679918 1.26706
0.00685501 1.20785
0.00691131 1.15168
0.00696806 1.09774
0.00702526 1.04563
0.00708294 0.996286
0.00714111 0.95034
0.00719973 0.90539
0.00725885 0.862488
0.00731846 0.822786
0.00737856 0.783676
0.00743915 0.746764
0.00750022 0.712044
0.0075618 0.678553
0.0076239 0.64622
0.00768649 0.616228
0.00774961 0.587222
0.00781325 0.559694
0.00787742 0.533757
0.0079421 0.50878
0.0080073 0.485128
0.00807306 0.462153
0.00813935 0.440681
0.00820618 0.420217
0.00827356 0.400676
0.0083415 0.382104
0.00840998 0.364451
0.00847904 0.347527
0.00854867 0.331559
0.00861886 0.31621
0.00868963 0.301649
0.00876099 0.287894
0.00883292 0.274582
0.00890544 0.262131
0.00897858 0.250149
0.00905231 0.238934
0.00912663 0.228068
0.00920156 0.217891
0.00927713 0.208168
0.0093533 0.198978
0.0094301 0.190075
0.00950753 0.181816
0.0095856 0.173884
0.00966431 0.166352
0.00974367 0.159259
0.00982367 0.152437
0.00990433 0.146022
0.00998566 0.139985
0.0100677 0.134291
0.0101503 0.128864
0.0102337 0.123746
0.0103177 0.1189
0.0104024 0.114322
0.0104878 0.110089
0.010574 0.106009
0.0106608 0.102201
0.0107483 0.0986479
0.0108366 0.09532
0.0109256 0.0922098
0.0110152 0.0893228
0.0111055 0.0857907
0.0111967 0.0820393
0.0112886 0.0784166
0.0113813 0.0750299
0.0114748 0.0717971
0.011569 0.0687074
0.011664 0.0657487
0.0117598 0.0629556
0.0118563 0.0602722
0.0119537 0.0577428
0.0120518 0.0553328
0.0121508 0.0530391
0.0122505 0.0508599
0.0123511 0.0487748
0.0124525 0.0468067
0.0125548 0.0449269
0.0126579 0.0431513
0.0127618 0.0414704
0.0128666 0.0398833
0.0129722 0.0383554
0.0130787 0.0369256
0.0131861 0.035568
0.0132944 0.0342897
0.0134035 0.0330746
0.0135136 0.0319318
0.0136245 0.030844
0.0137363 0.0298435
0.0138491 0.0288884
0.0139628 0.028002
0.0140774 0.0271707
0.014193 0.0263847
0.0143095 0.0256608
0.014427 0.0249902
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