# k P_nu(k)
# a = 0.452947
# nbins = 695
1.22718e-05 7.71681e+12
1.7355e-05 8.12657e+12
2.12555e-05 7.88861e+12
2.45437e-05 7.27648e+12
2.74407e-05 6.76763e+12
3.00598e-05 6.36982e+12
3.471e-05 5.92907e+12
3.68155e-05 5.28067e+12
3.8807e-05 4.70886e+12
4.07011e-05 4.81727e+12
4.25109e-05 4.47194e+12
4.42468e-05 4.5178e+12
4.5917e-05 4.06633e+12
4.90874e-05 4.34985e+12
5.05981e-05 4.03578e+12
5.2065e-05 4.21141e+12
5.34917e-05 3.71139e+12
5.48814e-05 3.79233e+12
5.62367e-05 3.7996e+12
5.75601e-05 4.00633e+12
6.01195e-05 3.41278e+12
6.13592e-05 3.60244e+12
6.25744e-05 3.39973e+12
6.37664e-05 3.36023e+12
6.60859e-05 3.36583e+12
6.72157e-05 3.27846e+12
6.942e-05 3.66119e+12
7.04964e-05 3.25362e+12
7.15565e-05 2.815e+12
7.26012e-05 3.24734e+12
7.36311e-05 3.0086e+12
7.46467e-05 2.55118e+12
7.56487e-05 3.00171e+12
7.7614e-05 2.52434e+12
7.85782e-05 2.7356e+12
7.95307e-05 2.46996e+12
8.04719e-05 2.22718e+12
8.14022e-05 2.50532e+12
8.2322e-05 2.22437e+12
8.32317e-05 2.34923e+12
8.50218e-05 2.24946e+12
8.59029e-05 2.28905e+12
8.67751e-05 2.1943e+12
8.76385e-05 2.05527e+12
8.84935e-05 2.64366e+12
8.93404e-05 2.31782e+12
9.01793e-05 2.1037e+12
9.18341e-05 2.20994e+12
9.26504e-05 1.84412e+12
9.34596e-05 2.00885e+12
9.42618e-05 1.80827e+12
9.58462e-05 1.83195e+12
9.66286e-05 1.79333e+12
9.81748e-05 1.8346e+12
9.89388e-05 1.87389e+12
9.9697e-05 1.73814e+12
0.000100947 1.54415e+12
0.000101938 1.84064e+12
0.000102674 1.77652e+12
0.00010413 1.83878e+12
0.000104851 1.76762e+12
0.000105793 1.63313e+12
0.000106983 1.57159e+12
0.000107685 1.74359e+12
0.000108382 1.81874e+12
0.000109763 1.41482e+12
0.000110447 1.66981e+12
0.000111126 1.42452e+12
0.00011207 1.57633e+12
0.000113141 1.3923e+12
0.000113804 1.62365e+12
0.00011512 1.42914e+12
0.000115772 1.54675e+12
0.000116605 1.48865e+12
0.000118768 1.48703e+12
0.000120655 1.61328e+12
0.000121732 1.41948e+12
0.000122718 1.41686e+12
0.000123466 1.42525e+12
0.000125149 1.27308e+12
0.000125749 1.48435e+12
0.000126644 1.43972e+12
0.000127941 1.36051e+12
0.000128708 1.56899e+12
0.000130739 1.23117e+12
0.000131943 1.31881e+12
0.000132953 1.41666e+12
0.000134431 1.34154e+12
0.000135328 1.36841e+12
0.000136101 1.11625e+12
0.000137477 1.19823e+12
0.00013884 9.11573e+11
0.000139516 1.25814e+12
0.000140611 1.19655e+12
0.000141939 1.13683e+12
0.000143463 1.00306e+12
0.000144385 1.2248e+12
0.000145548 1.09162e+12
0.000146631 9.69303e+11
0.000148112 1.10502e+12
0.00014952 1.01987e+12
0.000150299 1.03124e+12
0.000151832 9.0631e+11
0.000152783 1.05812e+12
0.000154045 1.05583e+12
0.000155658 9.09494e+11
0.00015665 9.55171e+11
0.0001579 8.53925e+11
0.000159354 9.26549e+11
0.000160279 9.9645e+11
0.000161626 8.93443e+11
0.000163463 9.56958e+11
0.000164644 9.13827e+11
0.000165783 8.92091e+11
0.000167197 8.86859e+11
0.000168799 8.72422e+11
0.000170423 9.468e+11
0.000171157 8.2708e+11
0.000172744 8.08222e+11
0.000174349 8.10267e+11
0.00017592 7.88853e+11
0.000177497 7.71298e+11
0.000178723 8.21271e+11
0.000180282 8.00684e+11
0.000181376 8.18291e+11
0.000182743 7.4826e+11
0.000184551 7.84649e+11
0.000185977 7.80905e+11
0.000187589 7.58606e+11
0.000188953 7.0496e+11
0.000190863 7.60472e+11
0.000192158 7.54523e+11
0.000193916 7.59062e+11
0.000195504 7.00162e+11
0.000197181 7.50572e+11
0.000198613 6.66324e+11
0.000200148 6.51832e+11
0.000201721 6.42669e+11
0.000203587 6.80772e+11
0.00020541 6.40425e+11
0.000207172 6.23741e+11
0.000208922 6.87124e+11
0.000210371 6.39312e+11
0.000212078 6.15236e+11
0.000214191 5.8568e+11
0.000215596 6.31518e+11
0.00021743 5.47244e+11
0.000219259 5.55251e+11
0.000221084 5.44236e+11
0.00022283 5.19931e+11
0.000224493 5.45362e+11
0.000226376 5.10767e+11
0.000228421 5.20181e+11
0.000230288 5.4461e+11
0.000231928 4.90388e+11
0.00023399 4.95087e+11
0.000236053 4.60088e+11
0.000237805 5.07981e+11
0.000239779 4.63082e+11
0.000241744 5.08989e+11
0.000243673 4.56849e+11
0.000245757 4.81346e+11
0.000247871 4.72423e+11
0.00024984 4.63798e+11
0.000251597 4.66043e+11
0.000253565 4.60637e+11
0.000256 4.7028e+11
0.000258364 4.49613e+11
0.000260499 4.80133e+11
0.000262417 4.55488e+11
0.000264367 4.29249e+11
0.000266592 3.93371e+11
0.000268987 3.76924e+11
0.000271108 4.21363e+11
0.000273349 3.96513e+11
0.000275546 3.97052e+11
0.000277706 3.72047e+11
0.000280204 3.6373e+11
0.000282696 3.95729e+11
0.000284955 4.03079e+11
0.000287036 3.58252e+11
0.000289296 3.59333e+11
0.000291909 3.68704e+11
0.000294404 3.63203e+11
0.000296654 3.68665e+11
0.000299082 3.80831e+11
0.000301403 3.73721e+11
0.000303861 3.43997e+11
0.000306413 3.37609e+11
0.000308749 3.27692e+11
0.000311525 3.34166e+11
0.000313955 3.14634e+11
0.000316471 3.26498e+11
0.000319321 3.38319e+11
0.000322008 3.13294e+11
0.000324666 3.02197e+11
0.00032719 3.02067e+11
0.000329929 3.02331e+11
0.000332507 2.94441e+11
0.000335216 3.09866e+11
0.000337986 2.85209e+11
0.000340927 2.81559e+11
0.000343668 2.85002e+11
0.000346605 2.78211e+11
0.000349164 2.79519e+11
0.000352165 2.67971e+11
0.000355188 2.71223e+11
0.000358008 2.67368e+11
0.000361098 2.51676e+11
0.000363971 2.6276e+11
0.00036707 2.4568e+11
0.000369977 2.4857e+11
0.000373107 2.47908e+11
0.000376085 2.62356e+11
0.000379074 2.49354e+11
0.000382228 2.47094e+11
0.00038541 2.37747e+11
0.000388542 2.35662e+11
0.000391757 2.32402e+11
0.000394981 2.26474e+11
0.000398111 2.20582e+11
0.000401474 2.18438e+11
0.000404717 2.19794e+11
0.000407935 2.17524e+11
0.000411525 2.19316e+11
0.000414686 2.12307e+11
0.000418155 2.10807e+11
0.00042175 2.04136e+11
0.000425291 2.02709e+11
0.000428636 2.00563e+11
0.000432208 1.92346e+11
0.0004357 1.98657e+11
0.000439332 1.9501e+11
0.000442787 1.91823e+11
0.000446449 1.93741e+11
0.000450291 1.85723e+11
0.000453801 1.9282e+11
0.000457447 1.84843e+11
0.000461323 1.80576e+11
0.000465014 1.80526e+11
0.000468866 1.75446e+11
0.000472806 1.76552e+11
0.00047678 1.71663e+11
0.000480624 1.72654e+11
0.000484555 1.70331e+11
0.000488474 1.72333e+11
0.000492396 1.63065e+11
0.000496538 1.63076e+11
0.000500678 1.62072e+11
0.000504761 1.60424e+11
0.000508767 1.5631e+11
0.000512959 1.59219e+11
0.000517253 1.50744e+11
0.000521544 1.49463e+11
0.000525774 1.5097e+11
0.000530168 1.4937e+11
0.000534431 1.46215e+11
0.00053878 1.47621e+11
0.000543223 1.44135e+11
0.000547788 1.43887e+11
0.000552163 1.41369e+11
0.000556755 1.33372e+11
0.000561463 1.38728e+11
0.000566064 1.32073e+11
0.000570587 1.31057e+11
0.000575277 1.30739e+11
0.000580056 1.31152e+11
0.000584753 1.30026e+11
0.000589576 1.28668e+11
0.000594327 1.27641e+11
0.000599226 1.28643e+11
0.000604166 1.24234e+11
0.000609275 1.21447e+11
0.000614265 1.20864e+11
0.000619191 1.19763e+11
0.000624415 1.19052e+11
0.000629458 1.15353e+11
0.00063466 1.17661e+11
0.00063975 1.15666e+11
0.00064489 1.1222e+11
0.000650271 1.13225e+11
0.000655619 1.11804e+11
0.000661178 1.08078e+11
0.000666601 1.06622e+11
0.00067198 1.04905e+11
0.000677465 1.06181e+11
0.000682952 1.02984e+11
0.000688602 1.0367e+11
0.000694365 1.00873e+11
0.000699968 1.01644e+11
0.00070566 1.01321e+11
0.000711633 1.00967e+11
0.000717351 9.76571e+10
0.000723301 9.74846e+10
0.000729237 9.46453e+10
0.00073526 9.4539e+10
0.000741287 9.43879e+10
0.000747431 9.36134e+10
0.000753573 9.29988e+10
0.000759705 9.15758e+10
0.000765936 9.03127e+10
0.000772341 9.05944e+10
0.000778615 8.83118e+10
0.000785031 8.61236e+10
0.000791493 8.73235e+10
0.000797999 8.54945e+10
0.000804499 8.35938e+10
0.000811074 8.44704e+10
0.000817707 8.19082e+10
0.000824546 8.17124e+10
0.000831271 8.12151e+10
0.000838002 8.07143e+10
0.000844949 8.00049e+10
0.000851929 7.9209e+10
0.000858954 7.8362e+10
0.000865919 7.72357e+10
0.000873072 7.58381e+10
0.000880195 7.53881e+10
0.000887393 7.36255e+10
0.000894783 7.3136e+10
0.000902097 7.23821e+10
0.00090951 7.18375e+10
0.000916929 7.13855e+10
0.000924423 7.09793e+10
0.00093206 7.09059e+10
0.000939669 7.03624e+10
0.000947384 6.91028e+10
0.000955222 6.85793e+10
0.000963012 6.75504e+10
0.00097096 6.68569e+10
0.000978975 6.67046e+10
0.000986946 6.55048e+10
0.000995044 6.49893e+10
0.00100317 6.41381e+10
0.00101134 6.38539e+10
0.00101966 6.28434e+10
0.00102811 6.28021e+10
0.0010366 6.10909e+10
0.00104515 6.11269e+10
0.00105367 6.10741e+10
0.0010623 5.98058e+10
0.00107099 5.90841e+10
0.00107984 5.88155e+10
0.00108877 5.8293e+10
0.00109754 5.76645e+10
0.00110658 5.75458e+10
0.00111585 5.61666e+10
0.001125 5.64326e+10
0.00113422 5.55489e+10
0.00114355 5.57517e+10
0.00115284 5.4682e+10
0.0011623 5.40489e+10
0.00117183 5.30722e+10
0.00118147 5.27348e+10
0.00119124 5.23094e+10
0.00120099 5.1871e+10
0.00121082 5.13446e+10
0.00122077 5.11379e+10
0.00123083 5.0713e+10
0.00124092 5.0169e+10
0.00125109 4.98233e+10
0.00126141 4.91216e+10
0.00127177 4.87082e+10
0.00128216 4.81211e+10
0.00129272 4.78744e+10
0.00130337 4.70738e+10
0.00131407 4.67667e+10
0.00132486 4.62663e+10
0.00133574 4.58153e+10
0.00134668 4.56043e+10
0.0013577 4.5035e+10
0.0013688 4.4846e+10
0.00138009 4.40887e+10
0.00139144 4.40532e+10
0.00140285 4.3428e+10
0.00141438 4.31176e+10
0.0014259 4.28825e+10
0.00143763 4.25205e+10
0.00144946 4.15554e+10
0.00146138 4.17001e+10
0.00147343 4.10742e+10
0.00148553 4.06468e+10
0.00149773 4.02585e+10
0.00150998 3.98469e+10
0.00152238 3.98416e+10
0.00153493 3.92786e+10
0.00154754 3.897e+10
0.0015602 3.85638e+10
0.00157297 3.80154e+10
0.00158593 3.78128e+10
0.00159901 3.74323e+10
0.00161212 3.71039e+10
0.00162533 3.68541e+10
0.00163867 3.62577e+10
0.00165213 3.62407e+10
0.00166568 3.56091e+10
0.00167936 3.53518e+10
0.00169314 3.51098e+10
0.00170706 3.45822e+10
0.00172108 3.44567e+10
0.00173519 3.41681e+10
0.00174947 3.38137e+10
0.00176388 3.34205e+10
0.00177833 3.33237e+10
0.00179289 3.30156e+10
0.00180762 3.26241e+10
0.0018225 3.21805e+10
0.00183749 3.21125e+10
0.00185259 3.16192e+10
0.00186776 3.15258e+10
0.00188308 3.10334e+10
0.00189858 3.07929e+10
0.00191415 3.05503e+10
0.00192986 3.02813e+10
0.00194568 2.98208e+10
0.00196164 2.95256e+10
0.00197781 2.9326e+10
0.00199407 2.90731e+10
0.00201041 2.87573e+10
0.0020269 2.84164e+10
0.00204357 2.8149e+10
0.00206031 2.80159e+10
0.00207723 2.76414e+10
0.00209433 2.73601e+10
0.00211151 2.70873e+10
0.00212883 2.68896e+10
0.00214631 2.65166e+10
0.00216395 2.63786e+10
0.00218171 2.6074e+10
0.00219964 2.58514e+10
0.0022177 2.55609e+10
0.00223591 2.52819e+10
0.00225426 2.50413e+10
0.00227273 2.48069e+10
0.00229144 2.46205e+10
0.00231024 2.4299e+10
0.00232919 2.40569e+10
0.00234835 2.3781e+10
0.00236765 2.36061e+10
0.00238708 2.33629e+10
0.00240668 2.30255e+10
0.00242645 2.28502e+10
0.00244635 2.26576e+10
0.00246642 2.24113e+10
0.00248668 2.21544e+10
0.00250712 2.19324e+10
0.0025277 2.17254e+10
0.00254846 2.14269e+10
0.00256938 2.12159e+10
0.00259045 2.10444e+10
0.00261172 2.08381e+10
0.00263319 2.05388e+10
0.00265482 2.04233e+10
0.0026766 2.01583e+10
0.00269857 1.98873e+10
0.00272074 1.96937e+10
0.00274311 1.94729e+10
0.00276562 1.93017e+10
0.00278831 1.90531e+10
0.00281122 1.88753e+10
0.00283428 1.86138e+10
0.00285753 1.84336e+10
0.00288102 1.82593e+10
0.00290469 1.80637e+10
0.00292852 1.78399e+10
0.00295255 1.76581e+10
0.00297682 1.74267e+10
0.00300132 1.72512e+10
0.00302595 1.70712e+10
0.00305077 1.68587e+10
0.00307582 1.66829e+10
0.00310109 1.64771e+10
0.00312652 1.62781e+10
0.00315219 1.612e+10
0.00317808 1.58943e+10
0.00320418 1.57316e+10
0.00323049 1.55772e+10
0.003257 1.53529e+10
0.00328375 1.51573e+10
0.00331073 1.49878e+10
0.00333793 1.48409e+10
0.00336532 1.4613e+10
0.00339295 1.4446e+10
0.00342081 1.42944e+10
0.0034489 1.41045e+10
0.00347724 1.39301e+10
0.00350579 1.37654e+10
0.00353457 1.35883e+10
0.00356356 1.34105e+10
0.0035928 1.32644e+10
0.0036223 1.30898e+10
0.00365206 1.29264e+10
0.00368208 1.27664e+10
0.00371232 1.25897e+10
0.0037428 1.24346e+10
0.00377353 1.22858e+10
0.00380451 1.21366e+10
0.00383574 1.19812e+10
0.00386724 1.18426e+10
0.00389899 1.16805e+10
0.003931 1.15311e+10
0.0039633 1.1381e+10
0.00399584 1.12373e+10
0.00402865 1.10838e+10
0.00406173 1.09402e+10
0.00409507 1.07948e+10
0.00412871 1.06509e+10
0.00416262 1.05132e+10
0.0041968 1.03741e+10
0.00423127 1.02502e+10
0.004266 1.0098e+10
0.00430101 9.96325e+09
0.00433633 9.835e+09
0.00437195 9.68891e+09
0.00440786 9.57521e+09
0.00444405 9.43409e+09
0.00448053 9.30381e+09
0.00451731 9.17898e+09
0.0045544 9.05631e+09
0.00459181 8.93459e+09
0.00462953 8.80613e+09
0.00466752 8.68004e+09
0.00470583 8.56324e+09
0.00474448 8.44473e+09
0.00478347 8.32326e+09
0.00482275 8.2168e+09
0.00486234 8.10485e+09
0.00490225 7.98186e+09
0.0049425 7.8658e+09
0.0049831 7.7615e+09
0.00502401 7.64539e+09
0.00506526 7.53793e+09
0.00510687 7.42842e+09
0.00514879 7.32849e+09
0.00519107 7.21788e+09
0.0052337 7.12268e+09
0.00527667 7.0142e+09
0.00532001 6.9171e+09
0.00536367 6.8088e+09
0.00540771 6.72259e+09
0.00545214 6.61857e+09
0.0054969 6.51771e+09
0.00554203 6.42418e+09
0.00558753 6.33464e+09
0.00563342 6.23776e+09
0.00567967 6.14818e+09
0.00572631 6.05481e+09
0.00577334 5.96489e+09
0.00582073 5.87995e+09
0.00586853 5.78711e+09
0.00591672 5.7043e+09
0.0059653 5.62163e+09
0.00601426 5.53527e+09
0.00606365 5.45443e+09
0.00611346 5.37337e+09
0.00616366 5.29711e+09
0.00621427 5.21384e+09
0.00626529 5.13992e+09
0.00631673 5.05709e+09
0.00636859 4.98364e+09
0.00642088 4.91001e+09
0.00647362 4.83601e+09
0.00652677 4.76662e+09
0.00658036 4.69619e+09
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