# k P_nu(k)
# a = 0.303355
# nbins = 695
1.22718e-05 3.60706e+11
1.7355e-05 2.02602e+11
2.12555e-05 1.30235e+11
2.45437e-05 8.93032e+10
2.74407e-05 6.48022e+10
3.00598e-05 4.91385e+10
3.471e-05 3.13526e+10
3.68155e-05 2.48911e+10
3.8807e-05 2.00618e+10
4.07011e-05 1.75022e+10
4.25109e-05 1.47653e+10
4.42468e-05 1.30859e+10
4.5917e-05 1.10514e+10
4.90874e-05 9.27223e+09
5.05981e-05 8.13408e+09
5.2065e-05 7.59108e+09
5.34917e-05 6.54477e+09
5.48814e-05 6.09823e+09
5.62367e-05 5.65495e+09
5.75601e-05 5.39598e+09
6.01195e-05 4.33024e+09
6.13592e-05 4.15518e+09
6.25744e-05 3.79527e+09
6.37664e-05 3.53686e+09
6.60859e-05 3.14843e+09
6.72157e-05 2.93218e+09
6.942e-05 2.78713e+09
7.04964e-05 2.48015e+09
7.15565e-05 2.18533e+09
7.26012e-05 2.234e+09
7.36311e-05 2.02876e+09
7.46467e-05 1.78829e+09
7.56487e-05 1.85466e+09
7.7614e-05 1.53094e+09
7.85782e-05 1.52742e+09
7.95307e-05 1.37765e+09
8.04719e-05 1.2455e+09
8.14022e-05 1.26357e+09
8.2322e-05 1.14677e+09
8.32317e-05 1.12684e+09
8.50218e-05 1.0323e+09
8.59029e-05 9.76721e+08
8.67751e-05 9.18602e+08
8.76385e-05 8.51968e+08
8.84935e-05 9.44817e+08
8.93404e-05 8.4374e+08
9.01793e-05 7.67996e+08
9.18341e-05 7.34247e+08
9.26504e-05 6.43069e+08
9.34596e-05 6.4391e+08
9.42618e-05 5.91206e+08
9.58462e-05 5.60151e+08
9.66286e-05 5.38385e+08
9.81748e-05 5.17002e+08
9.89388e-05 4.9898e+08
9.9697e-05 4.66279e+08
0.000100947 4.20762e+08
0.000101938 4.39236e+08
0.000102674 4.20547e+08
0.00010413 4.0446e+08
0.000104851 3.85353e+08
0.000105793 3.59355e+08
0.000106983 3.40445e+08
0.000107685 3.47185e+08
0.000108382 3.49224e+08
0.000109763 2.8252e+08
0.000110447 3.11433e+08
0.000111126 2.75757e+08
0.00011207 2.82054e+08
0.000113141 2.54623e+08
0.000113804 2.74353e+08
0.00011512 2.44691e+08
0.000115772 2.4935e+08
0.000116605 2.35825e+08
0.000118768 2.22487e+08
0.000120655 2.21191e+08
0.000121732 1.97653e+08
0.000122718 1.87591e+08
0.000123466 1.87086e+08
0.000125149 1.68934e+08
0.000125749 1.7999e+08
0.000126644 1.72071e+08
0.000127941 1.59072e+08
0.000128708 1.69469e+08
0.000130739 1.38272e+08
0.000131943 1.3897e+08
0.000132953 1.39075e+08
0.000134431 1.30252e+08
0.000135328 1.29995e+08
0.000136101 1.11496e+08
0.000137477 1.11656e+08
0.00013884 9.0734e+07
0.000139516 1.07502e+08
0.000140611 1.00234e+08
0.000141939 9.30985e+07
0.000143463 8.29948e+07
0.000144385 9.27872e+07
0.000145548 8.21948e+07
0.000146631 7.349e+07
0.000148112 7.75976e+07
0.00014952 7.02517e+07
0.000150299 7.06511e+07
0.000151832 6.0969e+07
0.000152783 6.61411e+07
0.000154045 6.33878e+07
0.000155658 5.50652e+07
0.00015665 5.52268e+07
0.0001579 4.96136e+07
0.000159354 5.01499e+07
0.000160279 5.13574e+07
0.000161626 4.61482e+07
0.000163463 4.63939e+07
0.000164644 4.32754e+07
0.000165783 4.28148e+07
0.000167197 3.99574e+07
0.000168799 3.88709e+07
0.000170423 3.90732e+07
0.000171157 3.51416e+07
0.000172744 3.36862e+07
0.000174349 3.27687e+07
0.00017592 3.05077e+07
0.000177497 2.93481e+07
0.000178723 2.99195e+07
0.000180282 2.81757e+07
0.000181376 2.79596e+07
0.000182743 2.57877e+07
0.000184551 2.54803e+07
0.000185977 2.47386e+07
0.000187589 2.36044e+07
0.000188953 2.12622e+07
0.000190863 2.17997e+07
0.000192158 2.11917e+07
0.000193916 2.05423e+07
0.000195504 1.85486e+07
0.000197181 1.87812e+07
0.000198613 1.69833e+07
0.000200148 1.5992e+07
0.000201721 1.54362e+07
0.000203587 1.53276e+07
0.00020541 1.42695e+07
0.000207172 1.33082e+07
0.000208922 1.36316e+07
0.000210371 1.25488e+07
0.000212078 1.19794e+07
0.000214191 1.12896e+07
0.000215596 1.1508e+07
0.00021743 1.00643e+07
0.000219259 9.65988e+06
0.000221084 9.18823e+06
0.00022283 8.79977e+06
0.000224493 8.84822e+06
0.000226376 7.89852e+06
0.000228421 7.89545e+06
0.000230288 7.89231e+06
0.000231928 7.1701e+06
0.00023399 6.81649e+06
0.000236053 6.34981e+06
0.000237805 6.59525e+06
0.000239779 5.94522e+06
0.000241744 6.14725e+06
0.000243673 5.56726e+06
0.000245757 5.55592e+06
0.000247871 5.30711e+06
0.00024984 5.09584e+06
0.000251597 4.90607e+06
0.000253565 4.69389e+06
0.000256 4.5007e+06
0.000258364 4.31088e+06
0.000260499 4.30915e+06
0.000262417 3.93654e+06
0.000264367 3.71566e+06
0.000266592 3.42109e+06
0.000268987 3.22306e+06
0.000271108 3.32421e+06
0.000273349 3.06408e+06
0.000275546 2.90163e+06
0.000277706 2.7424e+06
0.000280204 2.58241e+06
0.000282696 2.65987e+06
0.000284955 2.57745e+06
0.000287036 2.27834e+06
0.000289296 2.20879e+06
0.000291909 2.19828e+06
0.000294404 2.13347e+06
0.000296654 2.05822e+06
0.000299082 2.06038e+06
0.000301403 1.92063e+06
0.000303861 1.76242e+06
0.000306413 1.69423e+06
0.000308749 1.58186e+06
0.000311525 1.55319e+06
0.000313955 1.45727e+06
0.000316471 1.44248e+06
0.000319321 1.43387e+06
0.000322008 1.30323e+06
0.000324666 1.22365e+06
0.00032719 1.16039e+06
0.000329929 1.12801e+06
0.000332507 1.09585e+06
0.000335216 1.08161e+06
0.000337986 987959
0.000340927 934275
0.000343668 903415
0.000346605 852050
0.000349164 839460
0.000352165 775300
0.000355188 748931
0.000358008 738251
0.000361098 682205
0.000363971 662959
0.00036707 601321
0.000369977 603185
0.000373107 572645
0.000376085 567188
0.000379074 535105
0.000382228 508454
0.00038541 486946
0.000388542 463801
0.000391757 443930
0.000394981 423790
0.000398111 388460
0.000401474 377012
0.000404717 359482
0.000407935 350446
0.000411525 344350
0.000414686 330166
0.000418155 314477
0.00042175 295790
0.000425291 277137
0.000428636 267754
0.000432208 253749
0.0004357 247663
0.000439332 235598
0.000442787 223723
0.000446449 215771
0.000450291 204694
0.000453801 204114
0.000457447 189723
0.000461323 178654
0.000465014 172134
0.000468866 164361
0.000472806 154799
0.00047678 150546
0.000480624 144604
0.000484555 137749
0.000488474 133831
0.000492396 124206
0.000496538 121918
0.000500678 115295
0.000504761 110754
0.000508767 105508
0.000512959 102806
0.000517253 96227.3
0.000521544 89869.8
0.000525774 88789.4
0.000530168 84010.2
0.000534431 79581.6
0.00053878 76997.5
0.000543223 73095.1
0.000547788 71317.6
0.000552163 67448
0.000556755 61966.3
0.000561463 60415.6
0.000566064 58565.4
0.000570587 55258.1
0.000575277 52147.5
0.000580056 50843.7
0.000584753 49556.4
0.000589576 47452.5
0.000594327 44842.3
0.000599226 42937.8
0.000604166 40835.9
0.000609275 37858.2
0.000614265 38150.4
0.000619191 35542.2
0.000624415 34372.4
0.000629458 32715.6
0.00063466 31246.7
0.00063975 29854.8
0.00064489 28471.3
0.000650271 27349.1
0.000655619 25910.3
0.000661178 24698.7
0.000666601 23493.7
0.00067198 22386
0.000677465 21699.2
0.000682952 20899.6
0.000688602 19820.9
0.000694365 18980.5
0.000699968 18247.3
0.00070566 17258.2
0.000711633 17045.2
0.000717351 15847.2
0.000723301 14931
0.000729237 14586.1
0.00073526 13829.7
0.000741287 13467.7
0.000747431 12717.9
0.000753573 12147.3
0.000759705 11653
0.000765936 11047.8
0.000772341 10683.3
0.000778615 10238.8
0.000785031 9562.27
0.000791493 9102.97
0.000797999 8805.43
0.000804499 8356.08
0.000811074 8093.79
0.000817707 7736.77
0.000824546 7406.69
0.000831271 7160.74
0.000838002 6796.29
0.000844949 6514.27
0.000851929 6207.7
0.000858954 5863.43
0.000865919 5654.08
0.000873072 5390.3
0.000880195 5184.9
0.000887393 4848.48
0.000894783 4697.3
0.000902097 4508.39
0.00090951 4264.26
0.000916929 4120.97
0.000924423 3958.65
0.00093206 3779.7
0.000939669 3594.32
0.000947384 3472.85
0.000955222 3326.5
0.000963012 3151.91
0.00097096 3055.1
0.000978975 2912.43
0.000986946 2772.52
0.000995044 2675.81
0.00100317 2554.57
0.00101134 2417.16
0.00101966 2318.25
0.00102811 2231.71
0.0010366 2117.6
0.00104515 2041.6
0.00105367 1935.86
0.0010623 1854.28
0.00107099 1789.34
0.00107984 1684.45
0.00108877 1620.48
0.00109754 1558.48
0.00110658 1495.23
0.00111585 1404.62
0.001125 1357.55
0.00113422 1297.57
0.00114355 1263.07
0.00115284 1187.15
0.0011623 1140.69
0.00117183 1094.03
0.00118147 1047.8
0.00119124 994.6
0.00120099 961.345
0.00121082 914.735
0.00122077 879.998
0.00123083 841.801
0.00124092 802.619
0.00125109 770.635
0.00126141 743.32
0.00127177 705.56
0.00128216 672.459
0.00129272 643.81
0.00130337 619.382
0.00131407 595.688
0.00132486 567.237
0.00133574 542.437
0.00134668 518.403
0.0013577 501.482
0.0013688 476.82
0.00138009 454.386
0.00139144 438.039
0.00140285 418.958
0.00141438 401.84
0.0014259 383.013
0.00143763 367.205
0.00144946 349.65
0.00146138 338.148
0.00147343 319.011
0.00148553 309.089
0.00149773 295.767
0.00150998 281.537
0.00152238 271.363
0.00153493 258.725
0.00154754 248.902
0.0015602 237.336
0.00157297 227.976
0.00158593 216.981
0.00159901 208.026
0.00161212 200.439
0.00162533 191.872
0.00163867 182.951
0.00165213 175.548
0.00166568 168.289
0.00167936 160.726
0.00169314 154.746
0.00170706 148.198
0.00172108 141.553
0.00173519 135.336
0.00174947 129.809
0.00176388 124.372
0.00177833 119.206
0.00179289 114.561
0.00180762 108.793
0.0018225 104.224
0.00183749 100.113
0.00185259 96.1438
0.00186776 92.0072
0.00188308 88.3775
0.00189858 84.5488
0.00191415 81.3421
0.00192986 77.6944
0.00194568 74.3652
0.00196164 71.0824
0.00197781 68.3362
0.00199407 65.2607
0.00201041 62.749
0.0020269 59.9452
0.00204357 57.543
0.00206031 55.2596
0.00207723 52.9449
0.00209433 50.5927
0.00211151 48.5281
0.00212883 46.489
0.00214631 44.4903
0.00216395 42.6309
0.00218171 40.8148
0.00219964 39.1534
0.0022177 37.4948
0.00223591 35.9312
0.00225426 34.3448
0.00227273 33.0877
0.00229144 31.705
0.00231024 30.2962
0.00232919 29.0621
0.00234835 27.9246
0.00236765 26.8305
0.00238708 25.5714
0.00240668 24.5181
0.00242645 23.5143
0.00244635 22.4843
0.00246642 21.5733
0.00248668 20.7106
0.00250712 19.8259
0.0025277 19.0092
0.00254846 18.2008
0.00256938 17.4221
0.00259045 16.723
0.00261172 16.0393
0.00263319 15.4056
0.00265482 14.7474
0.0026766 14.1335
0.00269857 13.5727
0.00272074 12.9477
0.00274311 12.4123
0.00276562 11.9114
0.00278831 11.4105
0.00281122 10.938
0.00283428 10.48
0.00285753 10.0454
0.00288102 9.62112
0.00290469 9.24567
0.00292852 8.83356
0.00295255 8.48935
0.00297682 8.13465
0.00300132 7.80491
0.00302595 7.4564
0.00305077 7.16169
0.00307582 6.84938
0.00310109 6.57949
0.00312652 6.29998
0.00315219 6.03853
0.00317808 5.77566
0.00320418 5.54746
0.00323049 5.31175
0.003257 5.08141
0.00328375 4.89245
0.00331073 4.67479
0.00333793 4.48266
0.00336532 4.29917
0.00339295 4.1102
0.00342081 3.94624
0.0034489 3.77693
0.00347724 3.62284
0.00350579 3.46285
0.00353457 3.32524
0.00356356 3.18047
0.0035928 3.04871
0.0036223 2.92218
0.00365206 2.79701
0.00368208 2.6812
0.00371232 2.57144
0.0037428 2.45946
0.00377353 2.35657
0.00380451 2.25709
0.00383574 2.16475
0.00386724 2.07199
0.00389899 1.98296
0.003931 1.90203
0.0039633 1.82171
0.00399584 1.74279
0.00402865 1.67137
0.00406173 1.59911
0.00409507 1.53412
0.00412871 1.46792
0.00416262 1.40643
0.0041968 1.34673
0.00423127 1.28888
0.004266 1.2344
0.00430101 1.18128
0.00433633 1.13263
0.00437195 1.08316
0.00440786 1.03693
0.00444405 0.993441
0.00448053 0.951222
0.00451731 0.910409
0.0045544 0.872046
0.00459181 0.834381
0.00462953 0.800066
0.00466752 0.765801
0.00470583 0.732739
0.00474448 0.701371
0.00478347 0.671256
0.00482275 0.642712
0.00486234 0.615003
0.00490225 0.587786
0.0049425 0.563489
0.0049831 0.53957
0.00502401 0.515886
0.00506526 0.493959
0.00510687 0.473162
0.00514879 0.452873
0.00519107 0.43371
0.0052337 0.414695
0.00527667 0.396807
0.00532001 0.379972
0.00536367 0.363219
0.00540771 0.347653
0.00545214 0.33286
0.0054969 0.318529
0.00554203 0.304651
0.00558753 0.291872
0.00563342 0.279114
0.00567967 0.267169
0.00572631 0.255495
0.00577334 0.244531
0.00582073 0.23398
0.00586853 0.223799
0.00591672 0.214095
0.0059653 0.205012
0.00601426 0.195974
0.00606365 0.187602
0.00611346 0.179498
0.00616366 0.171768
0.00621427 0.164152
0.00626529 0.157101
0.00631673 0.150436
0.00636859 0.143851
0.00642088 0.137702
0.00647362 0.131721
0.00652677 0.126043
0.00658036 0.120556
0.0066344 0.115272
0.00668886 0.11034
0.00674379 0.105593
0.00679918 0.101022
0.00685501 0.0966208
0.00691131 0.0924176
0.00696806 0.0884435
0.00702526 0.0845495
0.00708294 0.0809253
0.00714111 0.0774558
0.00719973 0.0740575
0.00725885 0.0709169
0.00731846 0.0678349
0.00737856 0.064852
0.00743915 0.062051
0.00750022 0.0593594
0.0075618 0.0568101
0.0076239 0.0543675
0.00768649 0.0519861
0.00774961 0.0497508
0.00781325 0.0476124
0.00787742 0.04555
0.0079421 0.0435921
0.0080073 0.0417182
0.00807306 0.0399276
0.00813935 0.0382049
0.00820618 0.0365595
0.00827356 0.0349973
0.0083415 0.0335209
0.00840998 0.0320759
0.00847904 0.0306968
0.00854867 0.0294055
0.00861886 0.0281617
0.00868963 0.0269649
0.00876099 0.025827
0.00883292 0.0247499
0.00890544 0.0236984
0.00897858 0.0227195
0.00905231 0.0217653
0.00912663 0.0208698
0.00920156 0.0200098
0.00927713 0.0191868
0.0093533 0.0184131
0.0094301 0.0176612
0.00950753 0.0169585
0.0095856 0.0162822
0.00966431 0.0156346
0.00974367 0.0150304
0.00982367 0.0144457
0.00990433 0.0138954
0.00998566 0.0133691
0.0100677 0.0128773
0.0101503 0.0123921
0.0102337 0.0119508
0.0103177 0.0115281
0.0104024 0.0111302
0.0104878 0.0107534
0.010574 0.0103965
0.0106608 0.0100588
0.0107483 0.00974684
0.0108366 0.00945363
0.0109256 0.00917902
0.0110152 0.00891775
0.0111055 0.00857373
0.0111967 0.00819908
0.0112886 0.00784497
0.0113813 0.0075118
0.0114748 0.00720107
0.011569 0.00690057
0.011664 0.00662458
0.0117598 0.00635624
0.0118563 0.0061083
0.0119537 0.0058688
0.0120518 0.00564319
0.0121508 0.0054276
0.0122505 0.00522425
0.0123511 0.0050289
0.0124525 0.00484488
0.0125548 0.00467023
0.0126579 0.00450421
0.0127618 0.00434763
0.0128666 0.0041976
0.0129722 0.00405669
0.0130787 0.0039221
0.0131861 0.00379419
0.0132944 0.00367366
0.0134035 0.00356084
0.0135136 0.00345203
0.0136245 0.00335214
0.0137363 0.00325719
0.0138491 0.00316698
0.0139628 0.00308326
0.0140774 0.00300395
0.014193 0.0029315
0.0143095 0.00286295
0.014427 0.00279736
0.0145454 0.00273893
0.0146648 0.00268303
0.0147852 0.0026296
0.0149065 0.0025806
0.0150288 0.00252872
0.0151522 0.00247799
0.0152765 0.0024226
0.0154018 0.00235966
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