# k P_nu(k)
# a = 0.488158
# nbins = 695
1.22718e-05 1.24391e+12
1.7355e-05 7.45875e+11
2.12555e-05 4.98629e+11
2.45437e-05 3.4969e+11
2.74407e-05 2.58706e+11
3.00598e-05 1.99739e+11
3.471e-05 1.32371e+11
3.68155e-05 1.04794e+11
3.8807e-05 8.40399e+10
4.07011e-05 7.51002e+10
4.25109e-05 6.33307e+10
4.42468e-05 5.71504e+10
4.5917e-05 4.77687e+10
4.90874e-05 4.17441e+10
5.05981e-05 3.63354e+10
5.2065e-05 3.46205e+10
5.34917e-05 2.92017e+10
5.48814e-05 2.75988e+10
5.62367e-05 2.58095e+10
5.75601e-05 2.51533e+10
6.01195e-05 1.96615e+10
6.13592e-05 1.92848e+10
6.25744e-05 1.74549e+10
6.37664e-05 1.63407e+10
6.60859e-05 1.47394e+10
6.72157e-05 1.37238e+10
6.942e-05 1.36024e+10
7.04964e-05 1.18175e+10
7.15565e-05 1.0079e+10
7.26012e-05 1.07835e+10
7.36311e-05 9.6824e+09
7.46467e-05 8.18413e+09
7.56487e-05 8.93038e+09
7.7614e-05 7.14705e+09
7.85782e-05 7.3342e+09
7.95307e-05 6.4866e+09
8.04719e-05 5.74181e+09
8.14022e-05 6.06934e+09
8.2322e-05 5.34353e+09
8.32317e-05 5.37592e+09
8.50218e-05 4.88899e+09
8.59029e-05 4.7317e+09
8.67751e-05 4.4248e+09
8.76385e-05 4.05727e+09
8.84935e-05 4.84678e+09
8.93404e-05 4.20646e+09
9.01793e-05 3.75615e+09
9.18341e-05 3.68548e+09
9.26504e-05 3.08175e+09
9.34596e-05 3.19677e+09
9.42618e-05 2.85658e+09
9.58462e-05 2.73814e+09
9.66286e-05 2.6243e+09
9.81748e-05 2.54976e+09
9.89388e-05 2.50836e+09
9.9697e-05 2.2997e+09
0.000100947 2.00906e+09
0.000101938 2.23759e+09
0.000102674 2.12439e+09
0.00010413 2.08506e+09
0.000104851 1.97059e+09
0.000105793 1.7961e+09
0.000106983 1.68353e+09
0.000107685 1.7884e+09
0.000108382 1.82046e+09
0.000109763 1.39534e+09
0.000110447 1.59388e+09
0.000111126 1.35793e+09
0.00011207 1.43846e+09
0.000113141 1.25496e+09
0.000113804 1.41122e+09
0.00011512 1.21792e+09
0.000115772 1.27687e+09
0.000116605 1.2029e+09
0.000118768 1.13614e+09
0.000120655 1.16092e+09
0.000121732 1.00587e+09
0.000122718 9.69008e+08
0.000123466 9.61465e+08
0.000125149 8.37908e+08
0.000125749 9.40642e+08
0.000126644 8.94035e+08
0.000127941 8.20056e+08
0.000128708 9.12956e+08
0.000130739 6.99233e+08
0.000131943 7.20467e+08
0.000132953 7.45003e+08
0.000134431 6.86006e+08
0.000135328 6.86282e+08
0.000136101 5.59663e+08
0.000137477 5.75907e+08
0.00013884 4.35534e+08
0.000139516 5.70383e+08
0.000140611 5.29549e+08
0.000141939 4.88728e+08
0.000143463 4.21903e+08
0.000144385 4.96812e+08
0.000145548 4.33235e+08
0.000146631 3.779e+08
0.000148112 4.13363e+08
0.00014952 3.70686e+08
0.000150299 3.70416e+08
0.000151832 3.15306e+08
0.000152783 3.56767e+08
0.000154045 3.45181e+08
0.000155658 2.90298e+08
0.00015665 2.96717e+08
0.0001579 2.60238e+08
0.000159354 2.71415e+08
0.000160279 2.844e+08
0.000161626 2.49722e+08
0.000163463 2.56554e+08
0.000164644 2.38925e+08
0.000165783 2.30456e+08
0.000167197 2.20496e+08
0.000168799 2.11422e+08
0.000170423 2.20106e+08
0.000171157 1.91248e+08
0.000172744 1.8181e+08
0.000174349 1.76865e+08
0.00017592 1.66481e+08
0.000177497 1.58513e+08
0.000178723 1.64327e+08
0.000180282 1.55264e+08
0.000181376 1.55391e+08
0.000182743 1.39505e+08
0.000184551 1.40785e+08
0.000185977 1.36626e+08
0.000187589 1.29289e+08
0.000188953 1.16807e+08
0.000190863 1.21628e+08
0.000192158 1.18087e+08
0.000193916 1.15054e+08
0.000195504 1.03252e+08
0.000197181 1.07058e+08
0.000198613 9.3468e+07
0.000200148 8.87412e+07
0.000201721 8.53948e+07
0.000203587 8.71357e+07
0.00020541 7.98719e+07
0.000207172 7.52859e+07
0.000208922 7.99902e+07
0.000210371 7.2825e+07
0.000212078 6.84984e+07
0.000214191 6.33452e+07
0.000215596 6.6421e+07
0.00021743 5.62179e+07
0.000219259 5.51232e+07
0.000221084 5.25367e+07
0.00022283 4.91209e+07
0.000224493 5.01065e+07
0.000226376 4.53763e+07
0.000228421 4.49646e+07
0.000230288 4.56616e+07
0.000231928 4.03028e+07
0.00023399 3.92908e+07
0.000236053 3.55848e+07
0.000237805 3.81223e+07
0.000239779 3.38362e+07
0.000241744 3.60257e+07
0.000243673 3.16043e+07
0.000245757 3.22261e+07
0.000247871 3.07047e+07
0.00024984 2.9337e+07
0.000251597 2.87115e+07
0.000253565 2.76e+07
0.000256 2.71282e+07
0.000258364 2.52516e+07
0.000260499 2.60837e+07
0.000262417 2.40562e+07
0.000264367 2.21732e+07
0.000266592 1.9814e+07
0.000268987 1.84188e+07
0.000271108 1.99338e+07
0.000273349 1.82319e+07
0.000275546 1.76877e+07
0.000277706 1.61936e+07
0.000280204 1.53271e+07
0.000282696 1.61297e+07
0.000284955 1.59442e+07
0.000287036 1.38273e+07
0.000289296 1.34859e+07
0.000291909 1.34212e+07
0.000294404 1.2854e+07
0.000296654 1.2663e+07
0.000299082 1.27126e+07
0.000301403 1.21057e+07
0.000303861 1.08497e+07
0.000306413 1.03515e+07
0.000308749 9.7606e+06
0.000311525 9.63808e+06
0.000313955 8.84725e+06
0.000316471 8.91289e+06
0.000319321 8.94103e+06
0.000322008 8.04345e+06
0.000324666 7.53169e+06
0.00032719 7.30781e+06
0.000329929 7.09989e+06
0.000332507 6.74137e+06
0.000335216 6.87433e+06
0.000337986 6.15187e+06
0.000340927 5.88142e+06
0.000343668 5.78018e+06
0.000346605 5.46856e+06
0.000349164 5.35577e+06
0.000352165 4.97644e+06
0.000355188 4.87945e+06
0.000358008 4.68489e+06
0.000361098 4.27833e+06
0.000363971 4.3298e+06
0.00036707 3.9251e+06
0.000369977 3.86595e+06
0.000373107 3.73661e+06
0.000376085 3.83393e+06
0.000379074 3.5468e+06
0.000382228 3.40824e+06
0.00038541 3.18639e+06
0.000388542 3.06545e+06
0.000391757 2.93518e+06
0.000394981 2.77722e+06
0.000398111 2.62426e+06
0.000401474 2.52242e+06
0.000404717 2.46207e+06
0.000407935 2.3692e+06
0.000411525 2.31525e+06
0.000414686 2.18108e+06
0.000418155 2.1e+06
0.00042175 1.97139e+06
0.000425291 1.89696e+06
0.000428636 1.82452e+06
0.000432208 1.69867e+06
0.0004357 1.70206e+06
0.000439332 1.62095e+06
0.000442787 1.54923e+06
0.000446449 1.51774e+06
0.000450291 1.41091e+06
0.000453801 1.4234e+06
0.000457447 1.32508e+06
0.000461323 1.255e+06
0.000465014 1.21826e+06
0.000468866 1.14917e+06
0.000472806 1.1207e+06
0.00047678 1.05749e+06
0.000480624 1.0322e+06
0.000484555 988338
0.000488474 970653
0.000492396 891966
0.000496538 865169
0.000500678 833810
0.000504761 801113
0.000508767 757815
0.000512959 748760
0.000517253 687994
0.000521544 661514
0.000525774 648462
0.000530168 622090
0.000534431 591648
0.00053878 579157
0.000543223 548838
0.000547788 531153
0.000552163 506518
0.000556755 463936
0.000561463 467623
0.000566064 431914
0.000570587 416262
0.000575277 402596
0.000580056 391858
0.000584753 376723
0.000589576 361667
0.000594327 348587
0.000599226 340541
0.000604166 318866
0.000609275 302300
0.000614265 291608
0.000619191 280920
0.000624415 270441
0.000629458 254311
0.00063466 251809
0.00063975 239995
0.00064489 226011
0.000650271 221302
0.000655619 211975
0.000661178 198396
0.000666601 190033
0.00067198 181640
0.000677465 178056
0.000682952 167538
0.000688602 163581
0.000694365 154269
0.000699968 150823
0.00070566 145926
0.000711633 140817
0.000717351 132438
0.000723301 128108
0.000729237 120402
0.00073526 116647
0.000741287 112942
0.000747431 108653
0.000753573 104846
0.000759705 100126
0.000765936 95703
0.000772341 92986
0.000778615 88026.3
0.000785031 83340.7
0.000791493 81928
0.000797999 77704.1
0.000804499 73831.2
0.000811074 72242.7
0.000817707 68045.6
0.000824546 65687.5
0.000831271 63330.4
0.000838002 60995.5
0.000844949 58643.5
0.000851929 56394.8
0.000858954 54058.8
0.000865919 51676.6
0.000873072 49229.6
0.000880195 47471.4
0.000887393 44978.4
0.000894783 43251.5
0.000902097 41495.3
0.00090951 39872.3
0.000916929 38505.4
0.000924423 37119.8
0.00093206 35930.1
0.000939669 34602.4
0.000947384 32920.5
0.000955222 31691
0.000963012 30300.1
0.00097096 29102
0.000978975 28143.3
0.000986946 26751.2
0.000995044 25728.7
0.00100317 24637.7
0.00101134 23771
0.00101966 22676.7
0.00102811 21980.9
0.0010366 20727.9
0.00104515 20086.7
0.00105367 19473.5
0.0010623 18469.4
0.00107099 17735.3
0.00107984 17094.5
0.00108877 16417.9
0.00109754 15732.3
0.00110658 15234.7
0.00111585 14415.9
0.001125 14058.3
0.00113422 13379.6
0.00114355 13027
0.00115284 12402
0.0011623 11884.5
0.00117183 11331.2
0.00118147 10887.8
0.00119124 10477
0.00120099 10058.8
0.00121082 9652.43
0.00122077 9319.07
0.00123083 8960.93
0.00124092 8600.63
0.00125109 8274.06
0.00126141 7921.74
0.00127177 7598.83
0.00128216 7280.8
0.00129272 7006.31
0.00130337 6698.77
0.00131407 6434.28
0.00132486 6163.22
0.00133574 5926.58
0.00134668 5722.18
0.0013577 5469.4
0.0013688 5289.62
0.00138009 5040.93
0.00139144 4868.44
0.00140285 4657.14
0.00141438 4479.43
0.0014259 4316.33
0.00143763 4148.33
0.00144946 3934.22
0.00146138 3819.32
0.00147343 3643.17
0.00148553 3500.37
0.00149773 3356.31
0.00150998 3214.64
0.00152238 3121.57
0.00153493 2975.15
0.00154754 2865.19
0.0015602 2744.99
0.00157297 2620.66
0.00158593 2531
0.00159901 2427.19
0.00161212 2330.72
0.00162533 2247.61
0.00163867 2141.2
0.00165213 2074.03
0.00166568 1969.85
0.00167936 1895.14
0.00169314 1823.45
0.00170706 1742.9
0.00172108 1680.75
0.00173519 1611.85
0.00174947 1546.17
0.00176388 1481.27
0.00177833 1428.28
0.00179289 1375.32
0.00180762 1313.2
0.0018225 1259.19
0.00183749 1215.13
0.00185259 1158.57
0.00186776 1120.38
0.00188308 1067.64
0.00189858 1027.1
0.00191415 986.845
0.00192986 946.86
0.00194568 902.75
0.00196164 867.846
0.00197781 833.521
0.00199407 800.511
0.00201041 768.418
0.0020269 734.102
0.00204357 704.937
0.00206031 678.865
0.00207723 649.564
0.00209433 622.278
0.00211151 598.1
0.00212883 574.175
0.00214631 548.524
0.00216395 527.925
0.00218171 505.169
0.00219964 485.877
0.0022177 465.369
0.00223591 445.058
0.00225426 426.993
0.00227273 410.019
0.00229144 393.805
0.00231024 376.725
0.00232919 361.161
0.00234835 346.036
0.00236765 332.217
0.00238708 319.035
0.00240668 303.792
0.00242645 292.188
0.00244635 280.209
0.00246642 268.096
0.00248668 257.121
0.00250712 246.584
0.0025277 236.266
0.00254846 225.669
0.00256938 216.225
0.00259045 207.919
0.00261172 198.911
0.00263319 190.369
0.00265482 182.97
0.0026766 174.983
0.00269857 167.255
0.00272074 160.267
0.00274311 153.363
0.00276562 147.037
0.00278831 140.555
0.00281122 134.845
0.00283428 128.862
0.00285753 123.434
0.00288102 118.326
0.00290469 113.395
0.00292852 108.286
0.00295255 103.831
0.00297682 99.3866
0.00300132 95.2766
0.00302595 91.0969
0.00305077 87.0974
0.00307582 83.3362
0.00310109 79.8186
0.00312652 76.3149
0.00315219 73.2182
0.00317808 69.7796
0.00320418 66.9046
0.00323049 64.117
0.003257 61.1926
0.00328375 58.5487
0.00331073 56.0381
0.00333793 53.6939
0.00336532 51.2353
0.00339295 48.9534
0.00342081 46.8752
0.0034489 44.755
0.00347724 42.8301
0.00350579 40.9213
0.00353457 39.1136
0.00356356 37.4043
0.0035928 35.7781
0.0036223 34.1592
0.00365206 32.6732
0.00368208 31.2171
0.00371232 29.7993
0.0037428 28.5102
0.00377353 27.235
0.00380451 26.0192
0.00383574 24.906
0.00386724 23.8084
0.00389899 22.7098
0.003931 21.74
0.0039633 20.7504
0.00399584 19.8435
0.00402865 18.9279
0.00406173 18.0624
0.00409507 17.2663
0.00412871 16.4899
0.00416262 15.7617
0.0041968 15.0635
0.00423127 14.3861
0.004266 13.7296
0.00430101 13.1012
0.00433633 12.5235
0.00437195 11.9258
0.00440786 11.4146
0.00444405 10.8918
0.00448053 10.3907
0.00451731 9.91753
0.0045544 9.46759
0.00459181 9.04375
0.00462953 8.63135
0.00466752 8.23077
0.00470583 7.86367
0.00474448 7.50134
0.00478347 7.15681
0.00482275 6.83172
0.00486234 6.52005
0.00490225 6.22334
0.0049425 5.93769
0.0049831 5.66753
0.00502401 5.40362
0.00506526 5.15319
0.00510687 4.91458
0.00514879 4.68885
0.00519107 4.47017
0.0052337 4.27102
0.00527667 4.07366
0.00532001 3.88448
0.00536367 3.70534
0.00540771 3.53785
0.00545214 3.37226
0.0054969 3.21704
0.00554203 3.06676
0.00558753 2.92425
0.00563342 2.79157
0.00567967 2.65943
0.00572631 2.5372
0.00577334 2.41821
0.00582073 2.30563
0.00586853 2.19954
0.00591672 2.0961
0.0059653 1.9997
0.00601426 1.90565
0.00606365 1.81637
0.00611346 1.73274
0.00616366 1.6522
0.00621427 1.57448
0.00626529 1.50183
0.00631673 1.43164
0.00636859 1.36438
0.00642088 1.30061
0.00647362 1.2399
0.00652677 1.18251
0.00658036 1.12679
0.0066344 1.0739
0.00668886 1.02374
0.00674379 0.975712
0.00679918 0.930013
0.00685501 0.886646
0.00691131 0.844905
0.00696806 0.805746
0.00702526 0.76806
0.00708294 0.731728
0.00714111 0.697345
0.00719973 0.665111
0.00725885 0.633592
0.00731846 0.604051
0.00737856 0.575907
0.00743915 0.548966
0.00750022 0.523124
0.0075618 0.498474
0.0076239 0.475414
0.00768649 0.453307
0.00774961 0.431903
0.00781325 0.411896
0.00787742 0.392601
0.0079421 0.374408
0.0080073 0.35694
0.00807306 0.340166
0.00813935 0.324465
0.00820618 0.309499
0.00827356 0.295109
0.0083415 0.281354
0.00840998 0.268395
0.00847904 0.255984
0.00854867 0.244174
0.00861886 0.233009
0.00868963 0.222232
0.00876099 0.212174
0.00883292 0.202448
0.00890544 0.193184
0.00897858 0.184527
0.00905231 0.176128
0.00912663 0.168189
0.00920156 0.160677
0.00927713 0.153525
0.0093533 0.14674
0.0094301 0.140226
0.00950753 0.134091
0.0095856 0.128249
0.00966431 0.122755
0.00974367 0.117522
0.00982367 0.112536
0.00990433 0.107828
0.00998566 0.103363
0.0100677 0.099196
0.0101503 0.0951478
0.0102337 0.0913697
0.0103177 0.0878089
0.0104024 0.0844704
0.0104878 0.0812811
0.010574 0.078331
0.0106608 0.0755557
0.0107483 0.0729072
0.0108366 0.0704468
0.0109256 0.0681811
0.0110152 0.0660217
0.0111055 0.0634523
0.0111967 0.0606921
0.0112886 0.0580107
0.0113813 0.0554961
0.0114748 0.0531003
0.011569 0.050813
0.011664 0.0486454
0.0117598 0.0465687
0.0118563 0.044613
0.0119537 0.0427305
0.0120518 0.0409673
0.0121508 0.0392783
0.0122505 0.0376612
0.0123511 0.0361341
0.0124525 0.0346796
0.0125548 0.0333022
0.0126579 0.0319822
0.0127618 0.0307451
0.0128666 0.0295681
0.0129722 0.0284447
0.0130787 0.0273885
0.0131861 0.0263923
0.0132944 0.025445
0.0134035 0.024555
0.0135136 0.0237119
0.0136245 0.0229185
0.0137363 0.0221741
0.0138491 0.0214668
0.0139628 0.0208063
0.0140774 0.0201909
0.014193 0.0196228
0.0143095 0.0190868
0.014427 0.0185873
0.0145454 0.0181155
0.0146648 0.0176751
0.0147852 0.0172526
0.0149065 0.0168586
0.0150288 0.0164768
0.0151522 0.0160838
0.0152765 0.0156764
0.0154018 0.0152153
0.0155281 0.0146542
0.0156556 0.0140171
0.0157843 0.0134845
0.0159139 0.0130399
0.0160445 0.0126454
0.0161763 0.0122928
0.0163091 0.0119851
0.0164429 0.0117123
0.0165779 0.0114751
0.0167139 0.0112744
0.0168511 0.0111044
0.0169894 0.0109818
0.0171288 0.0108844
0.0172693 0.0108424
0.0174109 0.0108297
0.0175537 0.0108708
0.0176976 0.0109318
0.0178426 0.0110647
0.0179887 0.0112279
0.018136 0.0114907
0.0182842 0.0117786
0.0184332 0.0121613
0.0185832 0.0126538
0.0187336 0.0132552
0.0188802 0.013888
0.0190113 0.0145812
0.0191299 0.000230705