# k P_nu(k)
# a = 0.818605
# nbins = 695
1.22718e-05 3.69458e+12
1.7355e-05 2.35742e+12
2.12555e-05 1.63749e+12
2.45437e-05 1.17204e+12
2.74407e-05 8.83803e+11
3.00598e-05 6.95036e+11
3.471e-05 4.80391e+11
3.68155e-05 3.77843e+11
3.8807e-05 3.00494e+11
4.07011e-05 2.76364e+11
4.25109e-05 2.32341e+11
4.42468e-05 2.14408e+11
4.5917e-05 1.76825e+11
4.90874e-05 1.62299e+11
5.05981e-05 1.3961e+11
5.2065e-05 1.36557e+11
5.34917e-05 1.11883e+11
5.48814e-05 1.07675e+11
5.62367e-05 1.01649e+11
5.75601e-05 1.01799e+11
6.01195e-05 7.67422e+10
6.13592e-05 7.75869e+10
6.25744e-05 6.91495e+10
6.37664e-05 6.52783e+10
6.60859e-05 5.97061e+10
6.72157e-05 5.56018e+10
6.942e-05 5.79995e+10
7.04964e-05 4.88802e+10
7.15565e-05 3.98696e+10
7.26012e-05 4.53071e+10
7.36311e-05 4.03074e+10
7.46467e-05 3.19411e+10
7.56487e-05 3.72589e+10
7.7614e-05 2.87269e+10
7.85782e-05 3.05253e+10
7.95307e-05 2.64124e+10
8.04719e-05 2.27575e+10
8.14022e-05 2.54588e+10
8.2322e-05 2.13129e+10
8.32317e-05 2.22124e+10
8.50218e-05 1.96087e+10
8.59029e-05 2.00358e+10
8.67751e-05 1.85493e+10
8.76385e-05 1.67577e+10
8.84935e-05 2.19083e+10
8.93404e-05 1.83782e+10
9.01793e-05 1.61092e+10
9.18341e-05 1.62944e+10
9.26504e-05 1.28668e+10
9.34596e-05 1.41012e+10
9.42618e-05 1.2075e+10
9.58462e-05 1.17217e+10
9.66286e-05 1.11085e+10
9.81748e-05 1.08286e+10
9.89388e-05 1.11333e+10
9.9697e-05 9.94996e+09
0.000100947 8.22907e+09
0.000101938 1.01129e+10
0.000102674 9.47945e+09
0.00010413 9.5445e+09
0.000104851 8.96863e+09
0.000105793 7.88237e+09
0.000106983 7.19292e+09
0.000107685 8.18149e+09
0.000108382 8.40362e+09
0.000109763 6.13321e+09
0.000110447 7.16848e+09
0.000111126 5.88184e+09
0.00011207 6.52895e+09
0.000113141 5.46122e+09
0.000113804 6.37678e+09
0.00011512 5.29124e+09
0.000115772 5.77948e+09
0.000116605 5.45532e+09
0.000118768 5.12337e+09
0.000120655 5.3641e+09
0.000121732 4.53272e+09
0.000122718 4.56956e+09
0.000123466 4.41229e+09
0.000125149 3.62265e+09
0.000125749 4.33599e+09
0.000126644 4.11703e+09
0.000127941 3.77456e+09
0.000128708 4.35901e+09
0.000130739 3.119e+09
0.000131943 3.30543e+09
0.000132953 3.57882e+09
0.000134431 3.23901e+09
0.000135328 3.17634e+09
0.000136101 2.47777e+09
0.000137477 2.62105e+09
0.00013884 1.84868e+09
0.000139516 2.70318e+09
0.000140611 2.5074e+09
0.000141939 2.33447e+09
0.000143463 1.92715e+09
0.000144385 2.34916e+09
0.000145548 2.03287e+09
0.000146631 1.76825e+09
0.000148112 1.9529e+09
0.00014952 1.75867e+09
0.000150299 1.69508e+09
0.000151832 1.47144e+09
0.000152783 1.69231e+09
0.000154045 1.67847e+09
0.000155658 1.36202e+09
0.00015665 1.43102e+09
0.0001579 1.23151e+09
0.000159354 1.3302e+09
0.000160279 1.43359e+09
0.000161626 1.23614e+09
0.000163463 1.27377e+09
0.000164644 1.2112e+09
0.000165783 1.10499e+09
0.000167197 1.11707e+09
0.000168799 1.04156e+09
0.000170423 1.12217e+09
0.000171157 9.50624e+08
0.000172744 8.89779e+08
0.000174349 8.59768e+08
0.00017592 8.22974e+08
0.000177497 7.74223e+08
0.000178723 8.15203e+08
0.000180282 7.89693e+08
0.000181376 7.80141e+08
0.000182743 6.84923e+08
0.000184551 7.07187e+08
0.000185977 6.83413e+08
0.000187589 6.35216e+08
0.000188953 5.97279e+08
0.000190863 6.17329e+08
0.000192158 5.90811e+08
0.000193916 5.8327e+08
0.000195504 5.28616e+08
0.000197181 5.53406e+08
0.000198613 4.70346e+08
0.000200148 4.65857e+08
0.000201721 4.34848e+08
0.000203587 4.59487e+08
0.00020541 4.08566e+08
0.000207172 3.98586e+08
0.000208922 4.38762e+08
0.000210371 3.97884e+08
0.000212078 3.60742e+08
0.000214191 3.22543e+08
0.000215596 3.49361e+08
0.00021743 2.90683e+08
0.000219259 3.00034e+08
0.000221084 2.81022e+08
0.00022283 2.55059e+08
0.000224493 2.63356e+08
0.000226376 2.50222e+08
0.000228421 2.37962e+08
0.000230288 2.43831e+08
0.000231928 2.13397e+08
0.00023399 2.11356e+08
0.000236053 1.87868e+08
0.000237805 2.04463e+08
0.000239779 1.81693e+08
0.000241744 1.92503e+08
0.000243673 1.66882e+08
0.000245757 1.71796e+08
0.000247871 1.66008e+08
0.00024984 1.60551e+08
0.000251597 1.54264e+08
0.000253565 1.51061e+08
0.000256 1.54714e+08
0.000258364 1.37056e+08
0.000260499 1.45672e+08
0.000262417 1.38888e+08
0.000264367 1.24341e+08
0.000266592 1.09822e+08
0.000268987 1.04053e+08
0.000271108 1.12013e+08
0.000273349 1.02738e+08
0.000275546 1.0337e+08
0.000277706 9.16736e+07
0.000280204 8.86911e+07
0.000282696 9.37219e+07
0.000284955 9.28809e+07
0.000287036 8.21903e+07
0.000289296 7.92672e+07
0.000291909 7.62319e+07
0.000294404 7.25482e+07
0.000296654 7.37197e+07
0.000299082 7.37241e+07
0.000301403 7.11785e+07
0.000303861 6.38875e+07
0.000306413 5.8795e+07
0.000308749 5.8463e+07
0.000311525 5.84738e+07
0.000313955 5.28991e+07
0.000316471 5.30097e+07
0.000319321 5.28045e+07
0.000322008 4.66987e+07
0.000324666 4.51537e+07
0.00032719 4.39062e+07
0.000329929 4.32195e+07
0.000332507 4.0199e+07
0.000335216 4.08214e+07
0.000337986 3.75484e+07
0.000340927 3.66629e+07
0.000343668 3.50279e+07
0.000346605 3.42933e+07
0.000349164 3.23648e+07
0.000352165 3.11867e+07
0.000355188 3.01237e+07
0.000358008 2.87019e+07
0.000361098 2.66891e+07
0.000363971 2.69208e+07
0.00036707 2.56974e+07
0.000369977 2.40963e+07
0.000373107 2.33615e+07
0.000376085 2.4781e+07
0.000379074 2.19923e+07
0.000382228 2.17798e+07
0.00038541 2.07026e+07
0.000388542 2.01609e+07
0.000391757 1.84438e+07
0.000394981 1.80035e+07
0.000398111 1.75885e+07
0.000401474 1.69167e+07
0.000404717 1.64857e+07
0.000407935 1.57769e+07
0.000411525 1.49403e+07
0.000414686 1.39051e+07
0.000418155 1.38169e+07
0.00042175 1.29925e+07
0.000425291 1.25168e+07
0.000428636 1.20657e+07
0.000432208 1.13118e+07
0.0004357 1.13284e+07
0.000439332 1.08845e+07
0.000442787 1.04701e+07
0.000446449 1.03811e+07
0.000450291 9.52248e+06
0.000453801 9.65413e+06
0.000457447 8.97601e+06
0.000461323 8.69809e+06
0.000465014 8.25847e+06
0.000468866 7.95681e+06
0.000472806 7.85788e+06
0.00047678 7.50692e+06
0.000480624 7.16652e+06
0.000484555 6.98644e+06
0.000488474 6.85793e+06
0.000492396 6.31015e+06
0.000496538 6.15061e+06
0.000500678 5.94167e+06
0.000504761 5.75156e+06
0.000508767 5.29106e+06
0.000512959 5.21273e+06
0.000517253 4.95721e+06
0.000521544 4.83798e+06
0.000525774 4.66435e+06
0.000530168 4.49228e+06
0.000534431 4.40302e+06
0.00053878 4.22809e+06
0.000543223 4.04417e+06
0.000547788 3.92328e+06
0.000552163 3.7287e+06
0.000556755 3.54355e+06
0.000561463 3.48717e+06
0.000566064 3.26595e+06
0.000570587 3.16288e+06
0.000575277 3.02095e+06
0.000580056 2.98345e+06
0.000584753 2.82339e+06
0.000589576 2.72316e+06
0.000594327 2.68803e+06
0.000599226 2.60118e+06
0.000604166 2.41454e+06
0.000609275 2.36122e+06
0.000614265 2.23031e+06
0.000619191 2.17932e+06
0.000624415 2.10912e+06
0.000629458 2.00729e+06
0.00063466 1.98323e+06
0.00063975 1.85245e+06
0.00064489 1.77207e+06
0.000650271 1.76259e+06
0.000655619 1.68218e+06
0.000661178 1.58068e+06
0.000666601 1.51657e+06
0.00067198 1.50165e+06
0.000677465 1.42333e+06
0.000682952 1.35925e+06
0.000688602 1.32358e+06
0.000694365 1.25634e+06
0.000699968 1.20868e+06
0.00070566 1.17483e+06
0.000711633 1.13868e+06
0.000717351 1.09801e+06
0.000723301 1.05839e+06
0.000729237 986841
0.00073526 952804
0.000741287 929686
0.000747431 890998
0.000753573 865791
0.000759705 832061
0.000765936 801976
0.000772341 772787
0.000778615 747758
0.000785031 711769
0.000791493 685710
0.000797999 651297
0.000804499 642827
0.000811074 617814
0.000817707 592866
0.000824546 569943
0.000831271 548967
0.000838002 527340
0.000844949 496672
0.000851929 489791
0.000858954 464722
0.000865919 452707
0.000873072 436380
0.000880195 422682
0.000887393 398345
0.000894783 383410
0.000902097 373378
0.00090951 352577
0.000916929 348688
0.000924423 332282
0.00093206 321238
0.000939669 307020
0.000947384 294961
0.000955222 283264
0.000963012 275203
0.00097096 263911
0.000978975 251221
0.000986946 243617
0.000995044 233817
0.00100317 226065
0.00101134 215810
0.00101966 209486
0.00102811 200908
0.0010366 191903
0.00104515 186108
0.00105367 177144
0.0010623 171918
0.00107099 165373
0.00107984 158813
0.00108877 152670
0.00109754 146801
0.00110658 141582
0.00111585 134464
0.001125 130902
0.00113422 125447
0.00114355 121400
0.00115284 116059
0.0011623 111743
0.00117183 107287
0.00118147 103804
0.00119124 99391.5
0.00120099 95425.9
0.00121082 91299.3
0.00122077 88236
0.00123083 84885
0.00124092 81445.7
0.00125109 78211.1
0.00126141 74868.6
0.00127177 72598.8
0.00128216 69676.4
0.00129272 66770.5
0.00130337 64229.3
0.00131407 61783.3
0.00132486 59371.2
0.00133574 57177
0.00134668 54773.8
0.0013577 52345.7
0.0013688 50598.7
0.00138009 48865.5
0.00139144 46707.7
0.00140285 45036.5
0.00141438 42916.2
0.0014259 41072.7
0.00143763 39571.7
0.00144946 38265.2
0.00146138 36558.7
0.00147343 35293.7
0.00148553 33723.5
0.00149773 32235.5
0.00150998 31182.6
0.00152238 29836.9
0.00153493 28630.8
0.00154754 27487
0.0015602 26496.4
0.00157297 25343.6
0.00158593 24165.9
0.00159901 23358.3
0.00161212 22349.2
0.00162533 21560.8
0.00163867 20624.5
0.00165213 19751.6
0.00166568 19008.1
0.00167936 18191.5
0.00169314 17415.9
0.00170706 16695.1
0.00172108 16046.1
0.00173519 15345.2
0.00174947 14781.9
0.00176388 14183.6
0.00177833 13557.4
0.00179289 13032.9
0.00180762 12502.5
0.0018225 11989.1
0.00183749 11479.9
0.00185259 10971.3
0.00186776 10502.6
0.00188308 10127.2
0.00189858 9678.03
0.00191415 9359.9
0.00192986 8901.78
0.00194568 8523.99
0.00196164 8178.58
0.00197781 7827.35
0.00199407 7513.16
0.00201041 7193.68
0.0020269 6911.27
0.00204357 6612.12
0.00206031 6322.34
0.00207723 6058.78
0.00209433 5809.02
0.00211151 5571.03
0.00212883 5327.58
0.00214631 5094.16
0.00216395 4872.23
0.00218171 4668.8
0.00219964 4477.51
0.0022177 4286.43
0.00223591 4107.32
0.00225426 3934.37
0.00227273 3759.05
0.00229144 3603.38
0.00231024 3452.01
0.00232919 3302.26
0.00234835 3156.63
0.00236765 3022.16
0.00238708 2890.14
0.00240668 2770.5
0.00242645 2648.47
0.00244635 2534.11
0.00246642 2426.46
0.00248668 2322.23
0.00250712 2212.74
0.0025277 2118.17
0.00254846 2031.7
0.00256938 1945.19
0.00259045 1856.63
0.00261172 1776.31
0.00263319 1697.28
0.00265482 1624.9
0.0026766 1556.23
0.00269857 1489.37
0.00272074 1420.58
0.00274311 1361.85
0.00276562 1299.74
0.00278831 1243.62
0.00281122 1190.48
0.00283428 1138.01
0.00285753 1084.62
0.00288102 1039.29
0.00290469 992.198
0.00292852 949.858
0.00295255 907.112
0.00297682 867.612
0.00300132 828.536
0.00302595 790.316
0.00305077 757.142
0.00307582 723.319
0.00310109 690.95
0.00312652 659.967
0.00315219 630.235
0.00317808 603.281
0.00320418 575.301
0.00323049 549.788
0.003257 525.828
0.00328375 501.553
0.00331073 480.291
0.00333793 458.042
0.00336532 437.502
0.00339295 417.883
0.00342081 399.584
0.0034489 380.389
0.00347724 364.592
0.00350579 347.175
0.00353457 331.856
0.00356356 317.157
0.0035928 302.696
0.0036223 289.223
0.00365206 275.675
0.00368208 263.678
0.00371232 251.347
0.0037428 240.272
0.00377353 229.26
0.00380451 219.039
0.00383574 209.271
0.00386724 199.647
0.00389899 190.823
0.003931 181.777
0.0039633 173.615
0.00399584 165.84
0.00402865 158.042
0.00406173 151.054
0.00409507 144.093
0.00412871 137.635
0.00416262 131.261
0.0041968 125.384
0.00423127 119.714
0.004266 114.178
0.00430101 108.978
0.00433633 104.115
0.00437195 99.3025
0.00440786 94.5671
0.00444405 90.3095
0.00448053 86.1337
0.00451731 82.2734
0.0045544 78.5167
0.00459181 74.8544
0.00462953 71.3611
0.00466752 68.1695
0.00470583 65.0164
0.00474448 62.0291
0.00478347 59.0974
0.00482275 56.4148
0.00486234 53.7713
0.00490225 51.3318
0.0049425 48.949
0.0049831 46.7008
0.00502401 44.5025
0.00506526 42.4296
0.00510687 40.5025
0.00514879 38.5592
0.00519107 36.7991
0.0052337 35.1138
0.00527667 33.4572
0.00532001 31.9313
0.00536367 30.4455
0.00540771 29.0433
0.00545214 27.7109
0.0054969 26.411
0.00554203 25.1552
0.00558753 24.0046
0.00563342 22.8607
0.00567967 21.7977
0.00572631 20.7818
0.00577334 19.8323
0.00582073 18.8858
0.00586853 18.003
0.00591672 17.1719
0.0059653 16.3568
0.00601426 15.6193
0.00606365 14.8746
0.00611346 14.1794
0.00616366 13.5156
0.00621427 12.8847
0.00626529 12.2819
0.00631673 11.7136
0.00636859 11.1593
0.00642088 10.6415
0.00647362 10.1453
0.00652677 9.6643
0.00658036 9.2089
0.0066344 8.77813
0.00668886 8.36336
0.00674379 7.97498
0.00679918 7.60115
0.00685501 7.24301
0.00691131 6.90197
0.00696806 6.57824
0.00702526 6.26914
0.00708294 5.97272
0.00714111 5.69295
0.00719973 5.42556
0.00725885 5.17047
0.00731846 4.92974
0.00737856 4.69978
0.00743915 4.47612
0.00750022 4.26618
0.0075618 4.06939
0.0076239 3.87775
0.00768649 3.6966
0.00774961 3.52351
0.00781325 3.35749
0.00787742 3.19967
0.0079421 3.05001
0.0080073 2.90864
0.00807306 2.7714
0.00813935 2.64251
0.00820618 2.51856
0.00827356 2.4018
0.0083415 2.29034
0.00840998 2.1845
0.00847904 2.08274
0.00854867 1.98686
0.00861886 1.89389
0.00868963 1.80776
0.00876099 1.72393
0.00883292 1.64526
0.00890544 1.56977
0.00897858 1.49892
0.00905231 1.43032
0.00912663 1.36574
0.00920156 1.30444
0.00927713 1.24576
0.0093533 1.19062
0.0094301 1.13709
0.00950753 1.08765
0.0095856 1.04005
0.00966431 0.994732
0.00974367 0.951993
0.00982367 0.911503
0.00990433 0.873241
0.00998566 0.837068
0.0100677 0.802115
0.0101503 0.769628
0.0102337 0.738699
0.0103177 0.709954
0.0104024 0.682387
0.0104878 0.656539
0.010574 0.632171
0.0106608 0.609472
0.0107483 0.588159
0.0108366 0.568256
0.0109256 0.549428
0.0110152 0.532142
0.0111055 0.510894
0.0111967 0.488555
0.0112886 0.467208
0.0113813 0.446546
0.0114748 0.427047
0.011569 0.408606
0.011664 0.39098
0.0117598 0.374136
0.0118563 0.358094
0.0119537 0.34313
0.0120518 0.328573
0.0121508 0.314892
0.0122505 0.301752
0.0123511 0.289263
0.0124525 0.277328
0.0125548 0.266112
0.0126579 0.255501
0.0127618 0.245419
0.0128666 0.235878
0.0129722 0.22673
0.0130787 0.218134
0.0131861 0.209987
0.0132944 0.202248
0.0134035 0.194978
0.0135136 0.188128
0.0136245 0.181621
0.0137363 0.17559
0.0138491 0.16989
0.0139628 0.164527
0.0140774 0.159564
0.014193 0.154842
0.0143095 0.150509
0.014427 0.146352
0.0145454 0.142555
0.0146648 0.138916
0.0147852 0.135577
0.0149065 0.132339
0.0150288 0.129136
0.0151522 0.125949
0.0152765 0.122585
0.0154018 0.118867
0.0155281 0.114421
0.0156556 0.109257
0.0157843 0.104971
0.0159139 0.101312
0.0160445 0.0981855
0.0161763 0.0953842
0.0163091 0.0928773
0.0164429 0.0906461
0.0165779 0.0886345
0.0167139 0.0870357
0.0168511 0.0855754
0.0169894 0.084497
0.0171288 0.083673
0.0172693 0.0831087
0.0174109 0.0828939
0.0175537 0.0829064
0.0176976 0.0832666
0.0178426 0.0840994
0.0179887 0.0855343
0.018136 0.0875314
0.0182842 0.089982
0.0184332 0.0925523
0.0185832 0.0962914
0.0187336 0.10075
0.0188802 0.10735
0.0190113 0.112852
0.0191299 0.268275