# k P_nu(k)
# a = 0.0939313
# nbins = 695
1.22718e-05 1.16326e+10
1.7355e-05 5.53126e+09
2.12555e-05 3.22818e+09
2.45437e-05 2.08411e+09
2.74407e-05 1.44156e+09
3.00598e-05 1.04834e+09
3.471e-05 6.19052e+08
3.68155e-05 4.88294e+08
3.8807e-05 3.92878e+08
4.07011e-05 3.29146e+08
4.25109e-05 2.75659e+08
4.42468e-05 2.3708e+08
4.5917e-05 2.02108e+08
4.90874e-05 1.58826e+08
5.05981e-05 1.40039e+08
5.2065e-05 1.26641e+08
5.34917e-05 1.11989e+08
5.48814e-05 1.02067e+08
5.62367e-05 9.32272e+07
5.75601e-05 8.62392e+07
6.01195e-05 7.11865e+07
6.13592e-05 6.63445e+07
6.25744e-05 6.10019e+07
6.37664e-05 5.65088e+07
6.60859e-05 4.91136e+07
6.72157e-05 4.56771e+07
6.942e-05 4.08287e+07
7.04964e-05 3.74815e+07
7.15565e-05 3.43497e+07
7.26012e-05 3.30553e+07
7.36311e-05 3.05886e+07
7.46467e-05 2.815e+07
7.56487e-05 2.72971e+07
7.7614e-05 2.34887e+07
7.85782e-05 2.25259e+07
7.95307e-05 2.08757e+07
8.04719e-05 1.93982e+07
8.14022e-05 1.86968e+07
8.2322e-05 1.74565e+07
8.32317e-05 1.66754e+07
8.50218e-05 1.50975e+07
8.59029e-05 1.41905e+07
8.67751e-05 1.34092e+07
8.76385e-05 1.26164e+07
8.84935e-05 1.2617e+07
8.93404e-05 1.17288e+07
9.01793e-05 1.09816e+07
9.18341e-05 1.01235e+07
9.26504e-05 9.39766e+06
9.34596e-05 9.0825e+06
9.42618e-05 8.57089e+06
9.58462e-05 7.94509e+06
9.66286e-05 7.62448e+06
9.81748e-05 7.12137e+06
9.89388e-05 6.82731e+06
9.9697e-05 6.51294e+06
0.000100947 6.0493e+06
0.000101938 5.90363e+06
0.000102674 5.69029e+06
0.00010413 5.34449e+06
0.000104851 5.14832e+06
0.000105793 4.90028e+06
0.000106983 4.6544e+06
0.000107685 4.56653e+06
0.000108382 4.48999e+06
0.000109763 3.99374e+06
0.000110447 4.08184e+06
0.000111126 3.83817e+06
0.00011207 3.76291e+06
0.000113141 3.53919e+06
0.000113804 3.56613e+06
0.00011512 3.31698e+06
0.000115772 3.27587e+06
0.000116605 3.13908e+06
0.000118768 2.92175e+06
0.000120655 2.78037e+06
0.000121732 2.60511e+06
0.000122718 2.4831e+06
0.000123466 2.44288e+06
0.000125149 2.27196e+06
0.000125749 2.27511e+06
0.000126644 2.19261e+06
0.000127941 2.06226e+06
0.000128708 2.05977e+06
0.000130739 1.8294e+06
0.000131943 1.7752e+06
0.000132953 1.72042e+06
0.000134431 1.62791e+06
0.000135328 1.59187e+06
0.000136101 1.47725e+06
0.000137477 1.42418e+06
0.00013884 1.2819e+06
0.000139516 1.32758e+06
0.000140611 1.25516e+06
0.000141939 1.18107e+06
0.000143463 1.09199e+06
0.000144385 1.10957e+06
0.000145548 1.02522e+06
0.000146631 960518
0.000148112 941749
0.00014952 875047
0.000150299 863964
0.000151832 784689
0.000152783 787389
0.000154045 750367
0.000155658 686536
0.00015665 671145
0.0001579 627675
0.000159354 608024
0.000160279 600621
0.000161626 561212
0.000163463 539806
0.000164644 513371
0.000165783 504430
0.000167197 473768
0.000168799 458028
0.000170423 442402
0.000171157 420568
0.000172744 403332
0.000174349 389052
0.00017592 365400
0.000177497 352147
0.000178723 347264
0.000180282 330464
0.000181376 321975
0.000182743 306959
0.000184551 295397
0.000185977 285228
0.000187589 272956
0.000188953 255563
0.000190863 249216
0.000192158 241155
0.000193916 231226
0.000195504 215678
0.000197181 209463
0.000198613 197810
0.000200148 187983
0.000201721 179936
0.000203587 172593
0.00020541 162509
0.000207172 152962
0.000208922 148826
0.000210371 140779
0.000212078 134125
0.000214191 126931
0.000215596 124278
0.00021743 115251
0.000219259 109585
0.000221084 103867
0.00022283 100020
0.000224493 97596.2
0.000226376 90117.6
0.000228421 87812.2
0.000230288 85212.4
0.000231928 80781.9
0.00023399 76007.6
0.000236053 72702.7
0.000237805 71641.5
0.000239779 67010.2
0.000241744 65739.1
0.000243673 62032.9
0.000245757 60126.3
0.000247871 57523.8
0.00024984 55443.5
0.000251597 52883.6
0.000253565 50453.6
0.000256 47915.8
0.000258364 45992.2
0.000260499 44210.4
0.000262417 41495.3
0.000264367 39789.9
0.000266592 37560.7
0.000268987 35837.6
0.000271108 34518.4
0.000273349 32561.1
0.000275546 30702.5
0.000277706 29494.6
0.000280204 27791.2
0.000282696 27184.9
0.000284955 25821.5
0.000287036 24190.7
0.000289296 23202.3
0.000291909 22399.9
0.000294404 21505.5
0.000296654 20702.8
0.000299082 20077.2
0.000301403 18902.1
0.000303861 17924.1
0.000306413 17127.3
0.000308749 16272.5
0.000311525 15631.5
0.000313955 14978.7
0.000316471 14358.5
0.000319321 13860.1
0.000322008 12936.7
0.000324666 12331.9
0.00032719 11683.9
0.000329929 11263.2
0.000332507 10839.6
0.000335216 10368.9
0.000337986 9771.89
0.000340927 9214.4
0.000343668 8760.56
0.000346605 8343.87
0.000349164 8069.52
0.000352165 7544.1
0.000355188 7214.62
0.000358008 7040
0.000361098 6626.4
0.000363971 6308.51
0.00036707 5924.04
0.000369977 5782.4
0.000373107 5459.8
0.000376085 5260.05
0.000379074 4983.04
0.000382228 4741.04
0.00038541 4577.77
0.000388542 4353.81
0.000391757 4107.5
0.000394981 3964.03
0.000398111 3690.23
0.000401474 3532.99
0.000404717 3369.1
0.000407935 3241.23
0.000411525 3080.73
0.000414686 2982.5
0.000418155 2839.65
0.00042175 2692.36
0.000425291 2517.19
0.000428636 2411.84
0.000432208 2302.82
0.0004357 2219.24
0.000439332 2108.73
0.000442787 2001.81
0.000446449 1914.62
0.000450291 1813.27
0.000453801 1760.6
0.000457447 1654.98
0.000461323 1577.83
0.000465014 1496.08
0.000468866 1435.37
0.000472806 1348.97
0.00047678 1303
0.000480624 1227.49
0.000484555 1186.75
0.000488474 1128.15
0.000492396 1067.29
0.000496538 1027.24
0.000500678 976.752
0.000504761 929.491
0.000508767 883.246
0.000512959 842.568
0.000517253 806.053
0.000521544 755.884
0.000525774 732.075
0.000530168 690.945
0.000534431 657.8
0.00053878 617.587
0.000543223 593.387
0.000547788 570.419
0.000552163 540.438
0.000556755 514.198
0.000561463 483.84
0.000566064 469.29
0.000570587 444.8
0.000575277 414.259
0.000580056 399.899
0.000584753 386.959
0.000589576 364.431
0.000594327 350.228
0.000599226 329.72
0.000604166 314.014
0.000609275 297.247
0.000614265 286.454
0.000619191 274.611
0.000624415 258.117
0.000629458 245.828
0.00063466 233.682
0.00063975 223.153
0.00064489 212.89
0.000650271 203.846
0.000655619 191.703
0.000661178 182.267
0.000666601 173.909
0.00067198 164.302
0.000677465 159.066
0.000682952 152.576
0.000688602 142.623
0.000694365 137.159
0.000699968 130.119
0.00070566 122.641
0.000711633 117.503
0.000717351 111.509
0.000723301 105.657
0.000729237 101.378
0.00073526 95.3134
0.000741287 91.5638
0.000747431 86.8799
0.000753573 83.8197
0.000759705 79.4861
0.000765936 75.1045
0.000772341 72.0362
0.000778615 68.2071
0.000785031 65.1484
0.000791493 61.1038
0.000797999 58.7313
0.000804499 55.4075
0.000811074 53.1855
0.000817707 50.5239
0.000824546 47.8145
0.000831271 45.5819
0.000838002 43.146
0.000844949 41.2574
0.000851929 39.4502
0.000858954 37.1875
0.000865919 35.6585
0.000873072 33.7992
0.000880195 32.3014
0.000887393 30.282
0.000894783 29.1878
0.000902097 27.5507
0.00090951 26.2592
0.000916929 25.0618
0.000924423 23.6937
0.00093206 22.4347
0.000939669 21.4797
0.000947384 20.4996
0.000955222 19.5223
0.000963012 18.5604
0.00097096 17.5991
0.000978975 16.7676
0.000986946 15.7331
0.000995044 15.1746
0.00100317 14.3623
0.00101134 13.6908
0.00101966 13.0796
0.00102811 12.3764
0.0010366 11.7377
0.00104515 11.1596
0.00105367 10.6469
0.0010623 9.97675
0.00107099 9.62376
0.00107984 9.11722
0.00108877 8.71108
0.00109754 8.2644
0.00110658 7.8717
0.00111585 7.45803
0.001125 7.05211
0.00113422 6.71721
0.00114355 6.38587
0.00115284 6.04848
0.0011623 5.78158
0.00117183 5.47985
0.00118147 5.22183
0.00119124 4.97124
0.00120099 4.7755
0.00121082 4.49491
0.00122077 4.29782
0.00123083 4.0689
0.00124092 3.84952
0.00125109 3.63479
0.00126141 3.48083
0.00127177 3.33147
0.00128216 3.16583
0.00129272 2.99578
0.00130337 2.83943
0.00131407 2.7051
0.00132486 2.58314
0.00133574 2.43131
0.00134668 2.31197
0.0013577 2.20251
0.0013688 2.10406
0.00138009 2.00128
0.00139144 1.88038
0.00140285 1.79677
0.00141438 1.71383
0.0014259 1.62747
0.00143763 1.54201
0.00144946 1.47507
0.00146138 1.39933
0.00147343 1.32163
0.00148553 1.25666
0.00149773 1.19402
0.00150998 1.14111
0.00152238 1.08437
0.00153493 1.02345
0.00154754 0.98116
0.0015602 0.927708
0.00157297 0.886999
0.00158593 0.838275
0.00159901 0.794105
0.00161212 0.750878
0.00162533 0.719902
0.00163867 0.678507
0.00165213 0.648745
0.00166568 0.617276
0.00167936 0.583935
0.00169314 0.554046
0.00170706 0.527303
0.00172108 0.50179
0.00173519 0.476466
0.00174947 0.452558
0.00176388 0.429531
0.00177833 0.40785
0.00179289 0.389282
0.00180762 0.3682
0.0018225 0.350336
0.00183749 0.333049
0.00185259 0.315763
0.00186776 0.298348
0.00188308 0.284694
0.00189858 0.271044
0.00191415 0.256923
0.00192986 0.24367
0.00194568 0.232812
0.00196164 0.220493
0.00197781 0.20903
0.00199407 0.199877
0.00201041 0.18926
0.0020269 0.179654
0.00204357 0.170381
0.00206031 0.161863
0.00207723 0.153547
0.00209433 0.145953
0.00211151 0.138875
0.00212883 0.1321
0.00214631 0.125146
0.00216395 0.118812
0.00218171 0.113061
0.00219964 0.107391
0.0022177 0.101521
0.00223591 0.0968779
0.00225426 0.0919851
0.00227273 0.08715
0.00229144 0.0831434
0.00231024 0.0788283
0.00232919 0.074774
0.00234835 0.0711693
0.00236765 0.0675361
0.00238708 0.0641548
0.00240668 0.060909
0.00242645 0.0578516
0.00244635 0.0549412
0.00246642 0.0520179
0.00248668 0.049545
0.00250712 0.0471068
0.0025277 0.0445751
0.00254846 0.0424755
0.00256938 0.0403422
0.00259045 0.0382932
0.00261172 0.0364051
0.00263319 0.034604
0.00265482 0.0328029
0.0026766 0.031034
0.00269857 0.0296036
0.00272074 0.0280663
0.00274311 0.0266868
0.00276562 0.0253384
0.00278831 0.0240959
0.00281122 0.0228334
0.00283428 0.021731
0.00285753 0.0206366
0.00288102 0.0195491
0.00290469 0.0185571
0.00292852 0.0176589
0.00295255 0.0167485
0.00297682 0.0158995
0.00300132 0.0150859
0.00302595 0.0143582
0.00305077 0.0136179
0.00307582 0.0129289
0.00310109 0.0122719
0.00312652 0.0116485
0.00315219 0.0110579
0.00317808 0.0104966
0.00320418 0.00995904
0.00323049 0.00946736
0.003257 0.00897238
0.00328375 0.00851751
0.00331073 0.00809926
0.00333793 0.00768231
0.00336532 0.00727509
0.00339295 0.00691513
0.00342081 0.00656376
0.0034489 0.00623565
0.00347724 0.00590525
0.00350579 0.00561229
0.00353457 0.00532498
0.00356356 0.00505558
0.0035928 0.00479192
0.0036223 0.0045455
0.00365206 0.00431927
0.00368208 0.00410062
0.00371232 0.00388977
0.0037428 0.00369404
0.00377353 0.00350028
0.00380451 0.00332788
0.00383574 0.00316069
0.00386724 0.00299876
0.00389899 0.00284359
0.003931 0.00269476
0.0039633 0.00255891
0.00399584 0.00242903
0.00402865 0.00230764
0.00406173 0.00219052
0.00409507 0.00207901
0.00412871 0.00197508
0.00416262 0.00187389
0.0041968 0.00178017
0.00423127 0.0016891
0.004266 0.00160338
0.00430101 0.00152034
0.00433633 0.00144582
0.00437195 0.0013726
0.00440786 0.00130297
0.00444405 0.00123766
0.00448053 0.00117634
0.00451731 0.00111567
0.0045544 0.0010603
0.00459181 0.00100801
0.00462953 0.000957675
0.00466752 0.000911056
0.00470583 0.000864947
0.00474448 0.000822575
0.00478347 0.00078128
0.00482275 0.000743324
0.00486234 0.00070686
0.00490225 0.000671619
0.0049425 0.000639243
0.0049831 0.000609191
0.00502401 0.000580017
0.00506526 0.000551725
0.00510687 0.000525089
0.00514879 0.000500415
0.00519107 0.000476742
0.0052337 0.000454162
0.00527667 0.000433532
0.00532001 0.000413775
0.00536367 0.000394598
0.00540771 0.000377034
0.00545214 0.000359985
0.0054969 0.000343942
0.00554203 0.000328934
0.00558753 0.000314752
0.00563342 0.000301163
0.00567967 0.00028872
0.00572631 0.000276517
0.00577334 0.000265216
0.00582073 0.000254331
0.00586853 0.000244642
0.00591672 0.000234957
0.0059653 0.000226121
0.00601426 0.000217864
0.00606365 0.000209717
0.00611346 0.000202461
0.00616366 0.000195631
0.00621427 0.000189249
0.00626529 0.000182902
0.00631673 0.000177372
0.00636859 0.000172023
0.00642088 0.000167193
0.00647362 0.000162596
0.00652677 0.000158283
0.00658036 0.000154487
0.0066344 0.000150592
0.00668886 0.000147399
0.00674379 0.000144433
0.00679918 0.000141609
0.00685501 0.000139062
0.00691131 0.000136933
0.00696806 0.000134839
0.00702526 0.000133169
0.00708294 0.000131509
0.00714111 0.000130234
0.00719973 0.000129146
0.00725885 0.000128238
0.00731846 0.000127589
0.00737856 0.000127192
0.00743915 0.000126894
0.00750022 0.000126788
0.0075618 0.000126887
0.0076239 0.000127094
0.00768649 0.000127654
0.00774961 0.000128328
0.00781325 0.000129457
0.00787742 0.000130197
0.0079421 0.000131268
0.0080073 0.00013274
0.00807306 0.000134402
0.00813935 0.000135979
0.00820618 0.000138005
0.00827356 0.000139976
0.0083415 0.000142339
0.00840998 0.000144716
0.00847904 0.000147463
0.00854867 0.000150097
0.00861886 0.000152916
0.00868963 0.000156028
0.00876099 0.00015947
0.00883292 0.000162788
0.00890544 0.000166415
0.00897858 0.000170021
0.00905231 0.000174071
0.00912663 0.000177719
0.00920156 0.000181702
0.00927713 0.000185992
0.0093533 0.000190245
0.0094301 0.000194302
0.00950753 0.000198211
0.0095856 0.000202559
0.00966431 0.000206152
0.00974367 0.000210211
0.00982367 0.000213767
0.00990433 0.000217698
0.00998566 0.000220532
0.0100677 0.000224574
0.0101503 0.000227317
0.0102337 0.000230255
0.0103177 0.000231916
0.0104024 0.000234085
0.0104878 0.000235427
0.010574 0.000236228
0.0106608 0.000236377
0.0107483 0.000236209
0.0108366 0.000234604
0.0109256 0.00023272
0.0110152 0.000226686
0.0111055 0.000120661
0.0111967 6.19773e-05
0.0112886 4.16686e-05
0.0113813 3.23785e-05
0.0114748 2.75737e-05
0.011569 2.495e-05
0.011664 2.35542e-05
0.0117598 2.2919e-05
0.0118563 2.28038e-05
0.0119537 2.30812e-05
0.0120518 2.36788e-05
0.0121508 2.45397e-05
0.0122505 2.5681e-05
0.0123511 2.70364e-05
0.0124525 2.86502e-05
0.0125548 3.05385e-05
0.0126579 3.26688e-05
0.0127618 3.50585e-05
0.0128666 3.77883e-05
0.0129722 4.07966e-05
0.0130787 4.41929e-05
0.0131861 4.78984e-05
0.0132944 5.20186e-05
0.0134035 5.645e-05
0.0135136 6.14301e-05
0.0136245 6.66604e-05
0.0137363 7.23412e-05
0.0138491 7.83477e-05
0.0139628 8.46283e-05
0.0140774 9.10829e-05
0.014193 9.77209e-05
0.0143095 0.000104111
0.014427 0.000110349
0.0145454 0.000115681
0.0146648 0.000120021
0.0147852 0.000122991
0.0149065 0.000123893
0.0150288 0.000122035
0.0151522 0.00011662
0.0152765 0.000106372
0.0154018 9.09733e-05
0.0155281 6.76437e-05
0.0156556 4.21561e-05
0.0157843 3.65768e-05
0.0159139 3.83093e-05
0.0160445 4.25341e-05
0.0161763 4.837e-05
0.0163091 5.56864e-05
0.0164429 6.4598e-05
0.0165779 7.51645e-05
0.0167139 8.76455e-05
0.0168511 0.000102186
0.0169894 0.000119172
0.0171288 0.00013902
0.0172693 0.000161739
0.0174109 0.000187385
0.0175537 0.000216995
0.0176976 0.000249383
0.0178426 0.000285639
0.0179887 0.000325599
0.018136 0.000367974
0.0182842 0.000413162
0.0184332 0.00046144
0.0185832 0.000509827
0.0187336 0.000559694
0.0188802 0.000604942
0.0190113 0.00064875
0.0191299 3.68402e-05