# k P_nu(k)
# a = 0.045894
# nbins = 695
1.22718e-05 8.5878e+10
1.7355e-05 8.97163e+10
2.12555e-05 8.67078e+10
2.45437e-05 8.16922e+10
2.74407e-05 7.65381e+10
3.00598e-05 7.17489e+10
3.471e-05 6.38267e+10
3.68155e-05 6.0063e+10
3.8807e-05 5.67491e+10
4.07011e-05 5.46363e+10
4.25109e-05 5.23171e+10
4.42468e-05 5.07163e+10
4.5917e-05 4.87127e+10
4.90874e-05 4.67418e+10
5.05981e-05 4.54801e+10
5.2065e-05 4.48233e+10
5.34917e-05 4.35083e+10
5.48814e-05 4.29224e+10
5.62367e-05 4.23338e+10
5.75601e-05 4.20024e+10
6.01195e-05 4.02736e+10
6.13592e-05 3.99382e+10
6.25744e-05 3.92448e+10
6.37664e-05 3.86865e+10
6.60859e-05 3.7708e+10
6.72157e-05 3.71218e+10
6.942e-05 3.6511e+10
7.04964e-05 3.55604e+10
7.15565e-05 3.45682e+10
7.26012e-05 3.45019e+10
7.36311e-05 3.36636e+10
7.46467e-05 3.27167e+10
7.56487e-05 3.27357e+10
7.7614e-05 3.10577e+10
7.85782e-05 3.08102e+10
7.95307e-05 2.99496e+10
8.04719e-05 2.9165e+10
8.14022e-05 2.89419e+10
8.2322e-05 2.82268e+10
8.32317e-05 2.7853e+10
8.50218e-05 2.70057e+10
8.59029e-05 2.63673e+10
8.67751e-05 2.5831e+10
8.76385e-05 2.52392e+10
8.84935e-05 2.55101e+10
8.93404e-05 2.4751e+10
9.01793e-05 2.41017e+10
9.18341e-05 2.34965e+10
9.26504e-05 2.27739e+10
9.34596e-05 2.25604e+10
9.42618e-05 2.20505e+10
9.58462e-05 2.15511e+10
9.66286e-05 2.12692e+10
9.81748e-05 2.08544e+10
9.89388e-05 2.05713e+10
9.9697e-05 2.02376e+10
0.000100947 1.9738e+10
0.000101938 1.97046e+10
0.000102674 1.94995e+10
0.00010413 1.91753e+10
0.000104851 1.89718e+10
0.000105793 1.87001e+10
0.000106983 1.84698e+10
0.000107685 1.84323e+10
0.000108382 1.84367e+10
0.000109763 1.75919e+10
0.000110447 1.79939e+10
0.000111126 1.75523e+10
0.00011207 1.7585e+10
0.000113141 1.72562e+10
0.000113804 1.74773e+10
0.00011512 1.70976e+10
0.000115772 1.71269e+10
0.000116605 1.69135e+10
0.000118768 1.6738e+10
0.000120655 1.66843e+10
0.000121732 1.63227e+10
0.000122718 1.60834e+10
0.000123466 1.60826e+10
0.000125149 1.57763e+10
0.000125749 1.58823e+10
0.000126644 1.5726e+10
0.000127941 1.54219e+10
0.000128708 1.55238e+10
0.000130739 1.48663e+10
0.000131943 1.47947e+10
0.000132953 1.46698e+10
0.000134431 1.44364e+10
0.000135328 1.43735e+10
0.000136101 1.38816e+10
0.000137477 1.37657e+10
0.00013884 1.31402e+10
0.000139516 1.34536e+10
0.000140611 1.31487e+10
0.000141939 1.2841e+10
0.000143463 1.24399e+10
0.000144385 1.26201e+10
0.000145548 1.21759e+10
0.000146631 1.18439e+10
0.000148112 1.18213e+10
0.00014952 1.14606e+10
0.000150299 1.14413e+10
0.000151832 1.09632e+10
0.000152783 1.10449e+10
0.000154045 1.08421e+10
0.000155658 1.04434e+10
0.00015665 1.03846e+10
0.0001579 1.01018e+10
0.000159354 1.00286e+10
0.000160279 1.00245e+10
0.000161626 9.76052e+09
0.000163463 9.68381e+09
0.000164644 9.51226e+09
0.000165783 9.51293e+09
0.000167197 9.29116e+09
0.000168799 9.24995e+09
0.000170423 9.19231e+09
0.000171157 9.00313e+09
0.000172744 8.91988e+09
0.000174349 8.87112e+09
0.00017592 8.68129e+09
0.000177497 8.62517e+09
0.000178723 8.64776e+09
0.000180282 8.52775e+09
0.000181376 8.48039e+09
0.000182743 8.35904e+09
0.000184551 8.30032e+09
0.000185977 8.23201e+09
0.000187589 8.13511e+09
0.000188953 7.92915e+09
0.000190863 7.9166e+09
0.000192158 7.84461e+09
0.000193916 7.75344e+09
0.000195504 7.53761e+09
0.000197181 7.48414e+09
0.000198613 7.31885e+09
0.000200148 7.18063e+09
0.000201721 7.06693e+09
0.000203587 6.96667e+09
0.00020541 6.80013e+09
0.000207172 6.63772e+09
0.000208922 6.58631e+09
0.000210371 6.43765e+09
0.000212078 6.31679e+09
0.000214191 6.19146e+09
0.000215596 6.15617e+09
0.00021743 5.96941e+09
0.000219259 5.85785e+09
0.000221084 5.73759e+09
0.00022283 5.67216e+09
0.000224493 5.6447e+09
0.000226376 5.4608e+09
0.000228421 5.44683e+09
0.000230288 5.41181e+09
0.000231928 5.31231e+09
0.00023399 5.19495e+09
0.000236053 5.13968e+09
0.000237805 5.14578e+09
0.000239779 5.02108e+09
0.000241744 5.02201e+09
0.000243673 4.92247e+09
0.000245757 4.89558e+09
0.000247871 4.83492e+09
0.00024984 4.79241e+09
0.000251597 4.70926e+09
0.000253565 4.63513e+09
0.000256 4.55845e+09
0.000258364 4.50848e+09
0.000260499 4.44818e+09
0.000262417 4.33491e+09
0.000264367 4.27561e+09
0.000266592 4.17927e+09
0.000268987 4.11661e+09
0.000271108 4.05522e+09
0.000273349 3.96511e+09
0.000275546 3.86971e+09
0.000277706 3.81955e+09
0.000280204 3.73167e+09
0.000282696 3.71967e+09
0.000284955 3.64602e+09
0.000287036 3.55513e+09
0.000289296 3.50692e+09
0.000291909 3.47618e+09
0.000294404 3.43172e+09
0.000296654 3.39869e+09
0.000299082 3.37298e+09
0.000301403 3.29814e+09
0.000303861 3.24039e+09
0.000306413 3.19573e+09
0.000308749 3.14029e+09
0.000311525 3.10414e+09
0.000313955 3.06716e+09
0.000316471 3.02088e+09
0.000319321 2.9931e+09
0.000322008 2.91259e+09
0.000324666 2.86696e+09
0.00032719 2.80919e+09
0.000329929 2.78029e+09
0.000332507 2.7432e+09
0.000335216 2.69939e+09
0.000337986 2.63864e+09
0.000340927 2.57876e+09
0.000343668 2.52954e+09
0.000346605 2.48776e+09
0.000349164 2.46119e+09
0.000352165 2.39646e+09
0.000355188 2.36307e+09
0.000358008 2.35264e+09
0.000361098 2.30124e+09
0.000363971 2.26264e+09
0.00036707 2.2128e+09
0.000369977 2.20191e+09
0.000373107 2.1562e+09
0.000376085 2.13191e+09
0.000379074 2.09012e+09
0.000382228 2.05372e+09
0.00038541 2.03477e+09
0.000388542 1.99896e+09
0.000391757 1.95315e+09
0.000394981 1.9342e+09
0.000398111 1.87682e+09
0.000401474 1.84945e+09
0.000404717 1.81955e+09
0.000407935 1.79493e+09
0.000411525 1.76086e+09
0.000414686 1.74691e+09
0.000418155 1.71624e+09
0.00042175 1.68584e+09
0.000425291 1.64066e+09
0.000428636 1.61673e+09
0.000432208 1.59315e+09
0.0004357 1.57723e+09
0.000439332 1.54791e+09
0.000442787 1.51882e+09
0.000446449 1.49634e+09
0.000450291 1.46702e+09
0.000453801 1.45527e+09
0.000457447 1.41869e+09
0.000461323 1.39741e+09
0.000465014 1.37001e+09
0.000468866 1.35011e+09
0.000472806 1.32022e+09
0.00047678 1.30494e+09
0.000480624 1.27418e+09
0.000484555 1.26353e+09
0.000488474 1.24085e+09
0.000492396 1.21464e+09
0.000496538 1.20074e+09
0.000500678 1.17958e+09
0.000504761 1.15921e+09
0.000508767 1.13755e+09
0.000512959 1.11727e+09
0.000517253 1.1018e+09
0.000521544 1.07434e+09
0.000525774 1.06426e+09
0.000530168 1.0424e+09
0.000534431 1.02212e+09
0.00053878 9.97104e+08
0.000543223 9.85176e+08
0.000547788 9.72653e+08
0.000552163 9.53302e+08
0.000556755 9.36969e+08
0.000561463 9.15351e+08
0.000566064 9.06587e+08
0.000570587 8.8968e+08
0.000575277 8.63964e+08
0.000580056 8.55034e+08
0.000584753 8.47782e+08
0.000589576 8.27388e+08
0.000594327 8.16278e+08
0.000599226 7.98006e+08
0.000604166 7.83635e+08
0.000609275 7.6934e+08
0.000614265 7.58552e+08
0.000619191 7.48692e+08
0.000624415 7.30019e+08
0.000629458 7.18541e+08
0.00063466 7.04922e+08
0.00063975 6.9391e+08
0.00064489 6.81599e+08
0.000650271 6.72017e+08
0.000655619 6.56251e+08
0.000661178 6.44399e+08
0.000666601 6.33237e+08
0.00067198 6.20005e+08
0.000677465 6.14658e+08
0.000682952 6.05026e+08
0.000688602 5.88578e+08
0.000694365 5.8253e+08
0.000699968 5.71734e+08
0.00070566 5.57243e+08
0.000711633 5.48895e+08
0.000717351 5.39253e+08
0.000723301 5.28549e+08
0.000729237 5.21073e+08
0.00073526 5.08908e+08
0.000741287 5.01583e+08
0.000747431 4.92296e+08
0.000753573 4.86403e+08
0.000759705 4.77042e+08
0.000765936 4.66333e+08
0.000772341 4.6009e+08
0.000778615 4.51069e+08
0.000785031 4.43702e+08
0.000791493 4.3191e+08
0.000797999 4.26724e+08
0.000804499 4.17315e+08
0.000811074 4.117e+08
0.000817707 4.03145e+08
0.000824546 3.95411e+08
0.000831271 3.88034e+08
0.000838002 3.80356e+08
0.000844949 3.74429e+08
0.000851929 3.69572e+08
0.000858954 3.60081e+08
0.000865919 3.55219e+08
0.000873072 3.47886e+08
0.000880195 3.42231e+08
0.000887393 3.33825e+08
0.000894783 3.29574e+08
0.000902097 3.22222e+08
0.00090951 3.17293e+08
0.000916929 3.11561e+08
0.000924423 3.04515e+08
0.00093206 2.98887e+08
0.000939669 2.93518e+08
0.000947384 2.88677e+08
0.000955222 2.84172e+08
0.000963012 2.7893e+08
0.00097096 2.73247e+08
0.000978975 2.68542e+08
0.000986946 2.61339e+08
0.000995044 2.58228e+08
0.00100317 2.53232e+08
0.00101134 2.49067e+08
0.00101966 2.45308e+08
0.00102811 2.39227e+08
0.0010366 2.34681e+08
0.00104515 2.30232e+08
0.00105367 2.26393e+08
0.0010623 2.20177e+08
0.00107099 2.18175e+08
0.00107984 2.1342e+08
0.00108877 2.10174e+08
0.00109754 2.06032e+08
0.00110658 2.02484e+08
0.00111585 1.98099e+08
0.001125 1.93968e+08
0.00113422 1.90797e+08
0.00114355 1.8663e+08
0.00115284 1.82566e+08
0.0011623 1.8003e+08
0.00117183 1.76391e+08
0.00118147 1.72914e+08
0.00119124 1.70283e+08
0.00120099 1.68142e+08
0.00121082 1.64263e+08
0.00122077 1.60885e+08
0.00123083 1.57712e+08
0.00124092 1.54614e+08
0.00125109 1.51073e+08
0.00126141 1.48214e+08
0.00127177 1.46512e+08
0.00128216 1.43506e+08
0.00129272 1.40585e+08
0.00130337 1.37643e+08
0.00131407 1.35201e+08
0.00132486 1.3265e+08
0.00133574 1.2977e+08
0.00134668 1.27773e+08
0.0013577 1.25068e+08
0.0013688 1.22713e+08
0.00138009 1.20805e+08
0.00139144 1.17364e+08
0.00140285 1.15588e+08
0.00141438 1.13663e+08
0.0014259 1.11479e+08
0.00143763 1.09212e+08
0.00144946 1.07778e+08
0.00146138 1.05478e+08
0.00147343 1.02922e+08
0.00148553 1.0097e+08
0.00149773 9.89687e+07
0.00150998 9.74099e+07
0.00152238 9.53602e+07
0.00153493 9.34634e+07
0.00154754 9.20332e+07
0.0015602 9.00747e+07
0.00157297 8.84745e+07
0.00158593 8.63396e+07
0.00159901 8.4676e+07
0.00161212 8.29522e+07
0.00162533 8.16012e+07
0.00163867 7.95794e+07
0.00165213 7.85615e+07
0.00166568 7.694e+07
0.00167936 7.53581e+07
0.00169314 7.38811e+07
0.00170706 7.2358e+07
0.00172108 7.10734e+07
0.00173519 6.97158e+07
0.00174947 6.82295e+07
0.00176388 6.69798e+07
0.00177833 6.57235e+07
0.00179289 6.43824e+07
0.00180762 6.30846e+07
0.0018225 6.1848e+07
0.00183749 6.07246e+07
0.00185259 5.94344e+07
0.00186776 5.80845e+07
0.00188308 5.70476e+07
0.00189858 5.6011e+07
0.00191415 5.49672e+07
0.00192986 5.3766e+07
0.00194568 5.28323e+07
0.00196164 5.17261e+07
0.00197781 5.07903e+07
0.00199407 4.97405e+07
0.00201041 4.87894e+07
0.0020269 4.79006e+07
0.00204357 4.6796e+07
0.00206031 4.59687e+07
0.00207723 4.49619e+07
0.00209433 4.41978e+07
0.00211151 4.32597e+07
0.00212883 4.23785e+07
0.00214631 4.15388e+07
0.00216395 4.07199e+07
0.00218171 3.99581e+07
0.00219964 3.92254e+07
0.0022177 3.83932e+07
0.00223591 3.75909e+07
0.00225426 3.68668e+07
0.00227273 3.6092e+07
0.00229144 3.54661e+07
0.00231024 3.48404e+07
0.00232919 3.40415e+07
0.00234835 3.34342e+07
0.00236765 3.27634e+07
0.00238708 3.20607e+07
0.00240668 3.14506e+07
0.00242645 3.08615e+07
0.00244635 3.01801e+07
0.00246642 2.95612e+07
0.00248668 2.9056e+07
0.00250712 2.84721e+07
0.0025277 2.79731e+07
0.00254846 2.7384e+07
0.00256938 2.68104e+07
0.00259045 2.62651e+07
0.00261172 2.58307e+07
0.00263319 2.52689e+07
0.00265482 2.47829e+07
0.0026766 2.42914e+07
0.00269857 2.38592e+07
0.00272074 2.33343e+07
0.00274311 2.29485e+07
0.00276562 2.2488e+07
0.00278831 2.20353e+07
0.00281122 2.16036e+07
0.00283428 2.11904e+07
0.00285753 2.07164e+07
0.00288102 2.03903e+07
0.00290469 2.0019e+07
0.00292852 1.95987e+07
0.00295255 1.92151e+07
0.00297682 1.88009e+07
0.00300132 1.84325e+07
0.00302595 1.81324e+07
0.00305077 1.7748e+07
0.00307582 1.73475e+07
0.00310109 1.70413e+07
0.00312652 1.66904e+07
0.00315219 1.63396e+07
0.00317808 1.60468e+07
0.00320418 1.56523e+07
0.00323049 1.53556e+07
0.003257 1.50685e+07
0.00328375 1.47607e+07
0.00331073 1.44392e+07
0.00333793 1.41349e+07
0.00336532 1.38588e+07
0.00339295 1.35988e+07
0.00342081 1.3316e+07
0.0034489 1.30338e+07
0.00347724 1.27561e+07
0.00350579 1.25042e+07
0.00353457 1.22629e+07
0.00356356 1.20162e+07
0.0035928 1.17449e+07
0.0036223 1.15208e+07
0.00365206 1.13063e+07
0.00368208 1.10706e+07
0.00371232 1.08438e+07
0.0037428 1.06457e+07
0.00377353 1.04342e+07
0.00380451 1.02166e+07
0.00383574 1.00194e+07
0.00386724 9.81583e+06
0.00389899 9.63003e+06
0.003931 9.44698e+06
0.0039633 9.2544e+06
0.00399584 9.07396e+06
0.00402865 8.90327e+06
0.00406173 8.73242e+06
0.00409507 8.5778e+06
0.00412871 8.40956e+06
0.00416262 8.25063e+06
0.0041968 8.09787e+06
0.00423127 7.92552e+06
0.004266 7.79147e+06
0.00430101 7.64361e+06
0.00433633 7.51212e+06
0.00437195 7.36813e+06
0.00440786 7.23912e+06
0.00444405 7.10153e+06
0.00448053 6.9765e+06
0.00451731 6.8585e+06
0.0045544 6.73346e+06
0.00459181 6.61618e+06
0.00462953 6.5069e+06
0.00466752 6.40552e+06
0.00470583 6.29196e+06
0.00474448 6.19594e+06
0.00478347 6.08885e+06
0.00482275 5.99359e+06
0.00486234 5.90351e+06
0.00490225 5.81097e+06
0.0049425 5.7267e+06
0.0049831 5.64962e+06
0.00502401 5.56956e+06
0.00506526 5.49375e+06
0.00510687 5.41567e+06
0.00514879 5.35148e+06
0.00519107 5.29049e+06
0.0052337 5.22881e+06
0.00527667 5.16776e+06
0.00532001 5.1186e+06
0.00536367 5.07086e+06
0.00540771 5.02987e+06
0.00545214 4.98567e+06
0.0054969 4.94989e+06
0.00554203 4.91652e+06
0.00558753 4.8949e+06
0.00563342 4.87846e+06
0.00567967 4.85734e+06
0.00572631 4.84882e+06
0.00577334 4.84638e+06
0.00582073 4.85116e+06
0.00586853 4.85867e+06
0.00591672 4.87212e+06
0.0059653 4.89725e+06
0.00601426 4.92681e+06
0.00606365 4.96906e+06
0.00611346 5.02209e+06
0.00616366 5.07801e+06
0.00621427 5.15111e+06
0.00626529 5.22176e+06
0.00631673 5.31468e+06
0.00636859 5.41552e+06
0.00642088 5.54412e+06
0.00647362 5.67037e+06
0.00652677 5.81756e+06
0.00658036 5.99389e+06
0.0066344 6.18129e+06
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