# k P_nu(k)
# a = 0.0869957
# nbins = 695
1.22718e-05 9.17167e+09
1.7355e-05 4.3145e+09
2.12555e-05 2.50278e+09
2.45437e-05 1.60947e+09
2.74407e-05 1.1099e+09
3.00598e-05 8.05115e+08
3.471e-05 4.73373e+08
3.68155e-05 3.73081e+08
3.8807e-05 3.00009e+08
4.07011e-05 2.50857e+08
4.25109e-05 2.0995e+08
4.42468e-05 1.80306e+08
4.5917e-05 1.53715e+08
4.90874e-05 1.20439e+08
5.05981e-05 1.06183e+08
5.2065e-05 9.5893e+07
5.34917e-05 8.48575e+07
5.48814e-05 7.72621e+07
5.62367e-05 7.0518e+07
5.75601e-05 6.51478e+07
6.01195e-05 5.38119e+07
6.13592e-05 5.00943e+07
6.25744e-05 4.60618e+07
6.37664e-05 4.2656e+07
6.60859e-05 3.7031e+07
6.72157e-05 3.44341e+07
6.942e-05 3.07032e+07
7.04964e-05 2.82154e+07
7.15565e-05 2.58904e+07
7.26012e-05 2.48591e+07
7.36311e-05 2.30199e+07
7.46467e-05 2.12103e+07
7.56487e-05 2.05174e+07
7.7614e-05 1.76792e+07
7.85782e-05 1.69292e+07
7.95307e-05 1.57035e+07
8.04719e-05 1.46057e+07
8.14022e-05 1.4052e+07
8.2322e-05 1.31294e+07
8.32317e-05 1.25293e+07
8.50218e-05 1.1333e+07
8.59029e-05 1.06543e+07
8.67751e-05 1.00685e+07
8.76385e-05 9.47748e+06
8.84935e-05 9.44197e+06
8.93404e-05 8.79003e+06
9.01793e-05 8.23822e+06
9.18341e-05 7.58404e+06
9.26504e-05 7.05374e+06
9.34596e-05 6.81008e+06
9.42618e-05 6.43149e+06
9.58462e-05 5.9559e+06
9.66286e-05 5.71471e+06
9.81748e-05 5.33089e+06
9.89388e-05 5.11112e+06
9.9697e-05 4.87859e+06
0.000100947 4.53453e+06
0.000101938 4.41636e+06
0.000102674 4.2572e+06
0.00010413 3.99542e+06
0.000104851 3.85e+06
0.000105793 3.66626e+06
0.000106983 3.48175e+06
0.000107685 3.4123e+06
0.000108382 3.35191e+06
0.000109763 2.99278e+06
0.000110447 3.04869e+06
0.000111126 2.8732e+06
0.00011207 2.81283e+06
0.000113141 2.64902e+06
0.000113804 2.66246e+06
0.00011512 2.47991e+06
0.000115772 2.44669e+06
0.000116605 2.34597e+06
0.000118768 2.18177e+06
0.000120655 2.07265e+06
0.000121732 1.9453e+06
0.000122718 1.85517e+06
0.000123466 1.82355e+06
0.000125149 1.69709e+06
0.000125749 1.69611e+06
0.000126644 1.63493e+06
0.000127941 1.53879e+06
0.000128708 1.5335e+06
0.000130739 1.36586e+06
0.000131943 1.32367e+06
0.000132953 1.28172e+06
0.000134431 1.21267e+06
0.000135328 1.18467e+06
0.000136101 1.10259e+06
0.000137477 1.06153e+06
0.00013884 958846
0.000139516 988449
0.000140611 935134
0.000141939 880285
0.000143463 814824
0.000144385 824767
0.000145548 763593
0.000146631 716557
0.000148112 700470
0.00014952 651586
0.000150299 642578
0.000151832 584999
0.000152783 585276
0.000154045 557678
0.000155658 511235
0.00015665 499279
0.0001579 467644
0.000159354 452330
0.000160279 446171
0.000161626 417531
0.000163463 400917
0.000164644 381605
0.000165783 374547
0.000167197 352135
0.000168799 340148
0.000170423 328159
0.000171157 312616
0.000172744 299727
0.000174349 288954
0.00017592 271660
0.000177497 261711
0.000178723 257726
0.000180282 245373
0.000181376 238966
0.000182743 228020
0.000184551 219240
0.000185977 211627
0.000187589 202515
0.000188953 189978
0.000190863 184860
0.000192158 178837
0.000193916 171376
0.000195504 160103
0.000197181 155250
0.000198613 146795
0.000200148 139564
0.000201721 133549
0.000203587 127951
0.00020541 120517
0.000207172 113506
0.000208922 110233
0.000210371 104381
0.000212078 99427.2
0.000214191 94065.6
0.000215596 91967.3
0.00021743 85456.3
0.000219259 81249.9
0.000221084 77020.5
0.00022283 74135.1
0.000224493 72246.7
0.000226376 66853.2
0.000228421 65042.7
0.000230288 63045.8
0.000231928 59844.2
0.00023399 56338.3
0.000236053 53900.8
0.000237805 53014.1
0.000239779 49665.9
0.000241744 48636
0.000243673 45949.3
0.000245757 44492.2
0.000247871 42562
0.00024984 41013.1
0.000251597 39132.2
0.000253565 37340
0.000256 35454.3
0.000258364 34008.1
0.000260499 32659.9
0.000262417 30698.3
0.000264367 29439
0.000266592 27802.5
0.000268987 26521.6
0.000271108 25509.3
0.000273349 24080.3
0.000275546 22716.6
0.000277706 21816.8
0.000280204 20561.5
0.000282696 20068
0.000284955 19061
0.000287036 17892.3
0.000289296 17155.9
0.000291909 16542.1
0.000294404 15869.5
0.000296654 15276.7
0.000299082 14795.8
0.000301403 13945.7
0.000303861 13234.1
0.000306413 12644.2
0.000308749 12021.4
0.000311525 11537.4
0.000313955 11058.5
0.000316471 10593
0.000319321 10212.4
0.000322008 9544.96
0.000324666 9100.32
0.00032719 8626.89
0.000329929 8310.03
0.000332507 7991.21
0.000335216 7639.94
0.000337986 7205.79
0.000340927 6796.45
0.000343668 6461.47
0.000346605 6153.95
0.000349164 5946.38
0.000352165 5565.01
0.000355188 5320.29
0.000358008 5183.96
0.000361098 4883.03
0.000363971 4649.64
0.00036707 4371.77
0.000369977 4260.03
0.000373107 4024.43
0.000376085 3874.12
0.000379074 3671.93
0.000382228 3493.66
0.00038541 3370.65
0.000388542 3206.2
0.000391757 3025.71
0.000394981 2918.01
0.000398111 2720.56
0.000401474 2603.07
0.000404717 2482.52
0.000407935 2386.15
0.000411525 2266.74
0.000414686 2193.18
0.000418155 2087.76
0.00042175 1980.32
0.000425291 1853.25
0.000428636 1774.99
0.000432208 1694.7
0.0004357 1632.37
0.000439332 1550.97
0.000442787 1472.82
0.000446449 1408.22
0.000450291 1333.83
0.000453801 1293.45
0.000457447 1216.64
0.000461323 1160.1
0.000465014 1100.26
0.000468866 1054.77
0.000472806 992.385
0.00047678 957.149
0.000480624 902.106
0.000484555 871.579
0.000488474 828.634
0.000492396 784.246
0.000496538 754.13
0.000500678 717.133
0.000504761 682.464
0.000508767 648.593
0.000512959 618.391
0.000517253 591.466
0.000521544 555.182
0.000525774 537.001
0.000530168 507.191
0.000534431 482.676
0.00053878 453.536
0.000543223 435.548
0.000547788 418.299
0.000552163 396.487
0.000556755 377.298
0.000561463 355.202
0.000566064 343.961
0.000570587 326.208
0.000575277 304.175
0.000580056 293.331
0.000584753 283.605
0.000589576 267.147
0.000594327 256.573
0.000599226 241.737
0.000604166 230.155
0.000609275 218.026
0.000614265 209.745
0.000619191 201.074
0.000624415 189.048
0.000629458 180.102
0.00063466 171.175
0.00063975 163.462
0.00064489 155.88
0.000650271 149.199
0.000655619 140.415
0.000661178 133.477
0.000666601 127.3
0.00067198 120.333
0.000677465 116.389
0.000682952 111.528
0.000688602 104.351
0.000694365 100.325
0.000699968 95.2089
0.00070566 89.7306
0.000711633 85.8859
0.000717351 81.5712
0.000723301 77.31
0.000729237 74.1203
0.00073526 69.7339
0.000741287 66.9248
0.000747431 63.5115
0.000753573 61.2105
0.000759705 58.0555
0.000765936 54.8633
0.000772341 52.5874
0.000778615 49.8186
0.000785031 47.5701
0.000791493 44.6379
0.000797999 42.8789
0.000804499 40.4685
0.000811074 38.8269
0.000817707 36.863
0.000824546 34.9058
0.000831271 33.2563
0.000838002 31.4882
0.000844949 30.0999
0.000851929 28.7861
0.000858954 27.132
0.000865919 26.0055
0.000873072 24.6465
0.000880195 23.5438
0.000887393 22.0948
0.000894783 21.27
0.000902097 20.0836
0.00090951 19.1463
0.000916929 18.2603
0.000924423 17.2643
0.00093206 16.355
0.000939669 15.6425
0.000947384 14.923
0.000955222 14.2142
0.000963012 13.5166
0.00097096 12.8147
0.000978975 12.2066
0.000986946 11.4557
0.000995044 11.038
0.00100317 10.4526
0.00101134 9.96509
0.00101966 9.51918
0.00102811 8.99982
0.0010366 8.5354
0.00104515 8.11454
0.00105367 7.74053
0.0010623 7.25452
0.00107099 6.99601
0.00107984 6.62595
0.00108877 6.32965
0.00109754 6.00561
0.00110658 5.7189
0.00111585 5.41666
0.001125 5.12455
0.00113422 4.88107
0.00114355 4.63639
0.00115284 4.39088
0.0011623 4.19769
0.00117183 3.97783
0.00118147 3.78768
0.00119124 3.60759
0.00120099 3.46331
0.00121082 3.26274
0.00122077 3.11524
0.00123083 2.94998
0.00124092 2.79224
0.00125109 2.63659
0.00126141 2.52109
0.00127177 2.41434
0.00128216 2.29327
0.00129272 2.17046
0.00130337 2.05687
0.00131407 1.95904
0.00132486 1.86913
0.00133574 1.76058
0.00134668 1.67513
0.0013577 1.59448
0.0013688 1.52179
0.00138009 1.44823
0.00139144 1.35983
0.00140285 1.29947
0.00141438 1.23905
0.0014259 1.17686
0.00143763 1.11503
0.00144946 1.06691
0.00146138 1.01157
0.00147343 0.955189
0.00148553 0.907769
0.00149773 0.862471
0.00150998 0.824153
0.00152238 0.782705
0.00153493 0.73909
0.00154754 0.708107
0.0015602 0.669522
0.00157297 0.6398
0.00158593 0.604421
0.00159901 0.572609
0.00161212 0.541685
0.00162533 0.518916
0.00163867 0.488922
0.00165213 0.467609
0.00166568 0.444802
0.00167936 0.420825
0.00169314 0.399239
0.00170706 0.379714
0.00172108 0.361272
0.00173519 0.343079
0.00174947 0.325746
0.00176388 0.309094
0.00177833 0.29359
0.00179289 0.279934
0.00180762 0.264766
0.0018225 0.25184
0.00183749 0.239502
0.00185259 0.22699
0.00186776 0.21444
0.00188308 0.204475
0.00189858 0.194671
0.00191415 0.184618
0.00192986 0.174922
0.00194568 0.167091
0.00196164 0.158235
0.00197781 0.150094
0.00199407 0.143296
0.00201041 0.135681
0.0020269 0.12888
0.00204357 0.122149
0.00206031 0.116043
0.00207723 0.110016
0.00209433 0.10461
0.00211151 0.0994649
0.00212883 0.0945569
0.00214631 0.0895836
0.00216395 0.085049
0.00218171 0.0809239
0.00219964 0.0768557
0.0022177 0.0726268
0.00223591 0.0692478
0.00225426 0.0657618
0.00227273 0.0622869
0.00229144 0.0594079
0.00231024 0.0563426
0.00232919 0.0533884
0.00234835 0.0508165
0.00236765 0.0482057
0.00238708 0.0457888
0.00240668 0.0434515
0.00242645 0.0412665
0.00244635 0.0391605
0.00246642 0.037095
0.00248668 0.0353278
0.00250712 0.0335663
0.0025277 0.031789
0.00254846 0.030257
0.00256938 0.0287181
0.00259045 0.027259
0.00261172 0.0259165
0.00263319 0.024619
0.00265482 0.0233373
0.0026766 0.0220744
0.00269857 0.0210598
0.00272074 0.0199457
0.00274311 0.0189776
0.00276562 0.0180085
0.00278831 0.0171139
0.00281122 0.0162184
0.00283428 0.0154269
0.00285753 0.0146374
0.00288102 0.0138788
0.00290469 0.0131748
0.00292852 0.0125261
0.00295255 0.0118774
0.00297682 0.0112703
0.00300132 0.0106909
0.00302595 0.0101724
0.00305077 0.00964688
0.00307582 0.00915017
0.00310109 0.00868691
0.00312652 0.00824091
0.00315219 0.00782088
0.00317808 0.00742687
0.00320418 0.00703692
0.00323049 0.00668632
0.003257 0.00633806
0.00328375 0.00601769
0.00331073 0.00571721
0.00333793 0.00542014
0.00336532 0.0051324
0.00339295 0.00487649
0.00342081 0.00462722
0.0034489 0.00439336
0.00347724 0.00415795
0.00350579 0.00395118
0.00353457 0.0037485
0.00356356 0.00355679
0.0035928 0.00337
0.0036223 0.00319516
0.00365206 0.00303715
0.00368208 0.0028801
0.00371232 0.00273211
0.0037428 0.00259373
0.00377353 0.00245664
0.00380451 0.00233347
0.00383574 0.00221684
0.00386724 0.00210093
0.00389899 0.00199257
0.003931 0.0018878
0.0039633 0.0017919
0.00399584 0.00170079
0.00402865 0.00161407
0.00406173 0.00153275
0.00409507 0.00145407
0.00412871 0.00138113
0.00416262 0.00131044
0.0041968 0.00124396
0.00423127 0.00118007
0.004266 0.00111973
0.00430101 0.00106171
0.00433633 0.00100906
0.00437195 0.000957765
0.00440786 0.000909297
0.00444405 0.000862962
0.00448053 0.00082014
0.00451731 0.0007778
0.0045544 0.000739195
0.00459181 0.00070291
0.00462953 0.000667561
0.00466752 0.000635067
0.00470583 0.000602783
0.00474448 0.000573365
0.00478347 0.00054419
0.00482275 0.000517991
0.00486234 0.000492496
0.00490225 0.000468011
0.0049425 0.000445622
0.0049831 0.000424395
0.00502401 0.000404497
0.00506526 0.000384611
0.00510687 0.000366142
0.00514879 0.000349092
0.00519107 0.000332854
0.0052337 0.000317195
0.00527667 0.000302951
0.00532001 0.000289312
0.00536367 0.00027613
0.00540771 0.000264
0.00545214 0.000252282
0.0054969 0.000241243
0.00554203 0.000230966
0.00558753 0.000221103
0.00563342 0.000211894
0.00567967 0.000203364
0.00572631 0.000195128
0.00577334 0.00018735
0.00582073 0.000180125
0.00586853 0.000173456
0.00591672 0.000166889
0.0059653 0.000160921
0.00601426 0.000155314
0.00606365 0.000149962
0.00611346 0.000145069
0.00616366 0.000140554
0.00621427 0.000136348
0.00626529 0.000132167
0.00631673 0.000128606
0.00636859 0.000124997
0.00642088 0.000121944
0.00647362 0.000118934
0.00652677 0.000116217
0.00658036 0.000113843
0.0066344 0.000111429
0.00668886 0.000109478
0.00674379 0.000107704
0.00679918 0.000106053
0.00685501 0.000104614
0.00691131 0.000103469
0.00696806 0.00010228
0.00702526 0.000101585
0.00708294 0.000100713
0.00714111 0.00010015
0.00719973 9.98538e-05
0.00725885 9.96283e-05
0.00731846 9.95394e-05
0.00737856 9.97046e-05
0.00743915 9.99391e-05
0.00750022 0.000100352
0.0075618 0.000100799
0.0076239 0.00010147
0.00768649 0.000102403
0.00774961 0.000103418
0.00781325 0.000104738
0.00787742 0.000105741
0.0079421 0.00010715
0.0080073 0.000108839
0.00807306 0.000110648
0.00813935 0.000112264
0.00820618 0.000114485
0.00827356 0.000116503
0.0083415 0.000118891
0.00840998 0.000121189
0.00847904 0.00012397
0.00854867 0.000126767
0.00861886 0.000129358
0.00868963 0.000132301
0.00876099 0.000135646
0.00883292 0.000138974
0.00890544 0.000142241
0.00897858 0.000145653
0.00905231 0.000149264
0.00912663 0.00015278
0.00920156 0.000156292
0.00927713 0.000160375
0.0093533 0.000164326
0.0094301 0.000168101
0.00950753 0.000171391
0.0095856 0.000175233
0.00966431 0.00017832
0.00974367 0.000181605
0.00982367 0.000184697
0.00990433 0.000187816
0.00998566 0.000189977
0.0100677 0.000193153
0.0101503 0.000195439
0.0102337 0.000197373
0.0103177 0.000198639
0.0104024 0.000200078
0.0104878 0.000200849
0.010574 0.000201255
0.0106608 0.000201034
0.0107483 0.000200483
0.0108366 0.00019889
0.0109256 0.000197081
0.0110152 0.000191
0.0111055 9.29309e-05
0.0111967 4.44448e-05
0.0112886 2.91625e-05
0.0113813 2.25255e-05
0.0114748 1.92156e-05
0.011569 1.7497e-05
0.011664 1.66254e-05
0.0117598 1.63044e-05
0.0118563 1.6347e-05
0.0119537 1.66629e-05
0.0120518 1.72174e-05
0.0121508 1.79634e-05
0.0122505 1.89157e-05
0.0123511 2.00454e-05
0.0124525 2.13716e-05
0.0125548 2.29243e-05
0.0126579 2.46774e-05
0.0127618 2.66496e-05
0.0128666 2.89182e-05
0.0129722 3.14506e-05
0.0130787 3.43024e-05
0.0131861 3.74639e-05
0.0132944 4.10134e-05
0.0134035 4.48697e-05
0.0135136 4.91814e-05
0.0136245 5.39061e-05
0.0137363 5.89753e-05
0.0138491 6.45381e-05
0.0139628 7.04158e-05
0.0140774 7.65501e-05
0.014193 8.29657e-05
0.0143095 8.93222e-05
0.014427 9.56128e-05
0.0145454 0.000101248
0.0146648 0.000106061
0.0147852 0.000109655
0.0149065 0.000111126
0.0150288 0.000109943
0.0151522 0.000105043
0.0152765 9.53228e-05
0.0154018 8.02289e-05
0.0155281 5.71404e-05
0.0156556 3.21716e-05
0.0157843 2.70635e-05
0.0159139 2.86203e-05
0.0160445 3.21811e-05
0.0161763 3.71441e-05
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