# k P_nu(k)
# a = 0.208715
# nbins = 695
1.22718e-05 1.7476e+12
1.7355e-05 1.8313e+12
2.12555e-05 1.77304e+12
2.45437e-05 1.65652e+12
2.74407e-05 1.54681e+12
3.00598e-05 1.4527e+12
3.471e-05 1.31701e+12
3.68155e-05 1.21141e+12
3.8807e-05 1.11687e+12
4.07011e-05 1.10307e+12
4.25109e-05 1.04359e+12
4.42468e-05 1.02852e+12
4.5917e-05 9.60368e+11
4.90874e-05 9.64824e+11
5.05981e-05 9.21236e+11
5.2065e-05 9.29363e+11
5.34917e-05 8.66719e+11
5.48814e-05 8.67196e+11
5.62367e-05 8.61295e+11
5.75601e-05 8.76131e+11
6.01195e-05 8.00617e+11
6.13592e-05 8.12768e+11
6.25744e-05 7.87478e+11
6.37664e-05 7.75385e+11
6.60859e-05 7.65649e+11
6.72157e-05 7.50158e+11
6.942e-05 7.79058e+11
7.04964e-05 7.29725e+11
7.15565e-05 6.77212e+11
7.26012e-05 7.16676e+11
7.36311e-05 6.81269e+11
7.46467e-05 6.31604e+11
7.56487e-05 6.74836e+11
7.7614e-05 6.073e+11
7.85782e-05 6.25339e+11
7.95307e-05 5.8837e+11
8.04719e-05 5.54622e+11
8.14022e-05 5.77648e+11
8.2322e-05 5.46615e+11
8.32317e-05 5.52897e+11
8.50218e-05 5.41676e+11
8.59029e-05 5.27492e+11
8.67751e-05 5.12854e+11
8.76385e-05 4.92291e+11
8.84935e-05 5.51696e+11
8.93404e-05 5.11822e+11
9.01793e-05 4.82648e+11
9.18341e-05 4.85427e+11
9.26504e-05 4.42999e+11
9.34596e-05 4.52153e+11
9.42618e-05 4.29614e+11
9.58462e-05 4.2788e+11
9.66286e-05 4.22262e+11
9.81748e-05 4.24823e+11
9.89388e-05 4.18999e+11
9.9697e-05 4.03484e+11
0.000100947 3.82252e+11
0.000101938 4.04805e+11
0.000102674 3.97626e+11
0.00010413 3.98009e+11
0.000104851 3.88914e+11
0.000105793 3.75712e+11
0.000106983 3.6997e+11
0.000107685 3.81304e+11
0.000108382 3.89946e+11
0.000109763 3.35575e+11
0.000110447 3.72033e+11
0.000111126 3.40788e+11
0.00011207 3.54612e+11
0.000113141 3.33951e+11
0.000113804 3.61198e+11
0.00011512 3.38301e+11
0.000115772 3.48304e+11
0.000116605 3.38157e+11
0.000118768 3.38597e+11
0.000120655 3.51159e+11
0.000121732 3.27095e+11
0.000122718 3.18506e+11
0.000123466 3.23784e+11
0.000125149 3.09016e+11
0.000125749 3.28797e+11
0.000126644 3.22693e+11
0.000127941 3.09952e+11
0.000128708 3.31249e+11
0.000130739 2.91639e+11
0.000131943 2.99592e+11
0.000132953 3.04518e+11
0.000134431 2.97595e+11
0.000135328 3.02619e+11
0.000136101 2.70122e+11
0.000137477 2.77079e+11
0.00013884 2.39553e+11
0.000139516 2.77868e+11
0.000140611 2.66847e+11
0.000141939 2.56885e+11
0.000143463 2.4019e+11
0.000144385 2.67992e+11
0.000145548 2.46223e+11
0.000146631 2.28704e+11
0.000148112 2.45411e+11
0.00014952 2.30923e+11
0.000150299 2.35937e+11
0.000151832 2.13217e+11
0.000152783 2.31493e+11
0.000154045 2.27749e+11
0.000155658 2.08032e+11
0.00015665 2.11756e+11
0.0001579 1.97721e+11
0.000159354 2.03741e+11
0.000160279 2.10838e+11
0.000161626 1.97123e+11
0.000163463 2.0369e+11
0.000164644 1.9566e+11
0.000165783 1.98935e+11
0.000167197 1.90647e+11
0.000168799 1.92088e+11
0.000170423 1.9699e+11
0.000171157 1.82739e+11
0.000172744 1.81241e+11
0.000174349 1.8188e+11
0.00017592 1.74548e+11
0.000177497 1.73747e+11
0.000178723 1.79867e+11
0.000180282 1.75004e+11
0.000181376 1.76326e+11
0.000182743 1.68929e+11
0.000184551 1.71335e+11
0.000185977 1.70762e+11
0.000187589 1.68298e+11
0.000188953 1.56722e+11
0.000190863 1.64414e+11
0.000192158 1.63547e+11
0.000193916 1.63334e+11
0.000195504 1.52945e+11
0.000197181 1.57635e+11
0.000198613 1.48503e+11
0.000200148 1.43943e+11
0.000201721 1.42567e+11
0.000203587 1.44629e+11
0.00020541 1.39606e+11
0.000207172 1.34299e+11
0.000208922 1.39454e+11
0.000210371 1.32594e+11
0.000212078 1.30448e+11
0.000214191 1.27936e+11
0.000215596 1.31774e+11
0.00021743 1.21034e+11
0.000219259 1.19113e+11
0.000221084 1.1647e+11
0.00022283 1.15434e+11
0.000224493 1.18208e+11
0.000226376 1.09233e+11
0.000228421 1.12322e+11
0.000230288 1.14587e+11
0.000231928 1.08413e+11
0.00023399 1.05512e+11
0.000236053 1.02721e+11
0.000237805 1.07733e+11
0.000239779 1.01131e+11
0.000241744 1.05814e+11
0.000243673 1.0017e+11
0.000245757 1.02048e+11
0.000247871 1.00701e+11
0.00024984 9.98121e+10
0.000251597 9.78962e+10
0.000253565 9.61469e+10
0.000256 9.49502e+10
0.000258364 9.4591e+10
0.000260499 9.59352e+10
0.000262417 9.04553e+10
0.000264367 8.84452e+10
0.000266592 8.49605e+10
0.000268987 8.33442e+10
0.000271108 8.60064e+10
0.000273349 8.23295e+10
0.000275546 7.9808e+10
0.000277706 7.84799e+10
0.000280204 7.63046e+10
0.000282696 7.99769e+10
0.000284955 7.89723e+10
0.000287036 7.30522e+10
0.000289296 7.25943e+10
0.000291909 7.40273e+10
0.000294404 7.41351e+10
0.000296654 7.33346e+10
0.000299082 7.50128e+10
0.000301403 7.17656e+10
0.000303861 6.87808e+10
0.000306413 6.80736e+10
0.000308749 6.56629e+10
0.000311525 6.62443e+10
0.000313955 6.45803e+10
0.000316471 6.50196e+10
0.000319321 6.62329e+10
0.000322008 6.2525e+10
0.000324666 6.09206e+10
0.00032719 5.91351e+10
0.000329929 5.92531e+10
0.000332507 5.93239e+10
0.000335216 5.94484e+10
0.000337986 5.67081e+10
0.000340927 5.52319e+10
0.000343668 5.44796e+10
0.000346605 5.33077e+10
0.000349164 5.37441e+10
0.000352165 5.12808e+10
0.000355188 5.08784e+10
0.000358008 5.18749e+10
0.000361098 4.98402e+10
0.000363971 4.91453e+10
0.00036707 4.65083e+10
0.000369977 4.78845e+10
0.000373107 4.65791e+10
0.000376085 4.69774e+10
0.000379074 4.56633e+10
0.000382228 4.47632e+10
0.00038541 4.46793e+10
0.000388542 4.37783e+10
0.000391757 4.28259e+10
0.000394981 4.25599e+10
0.000398111 4.01278e+10
0.000401474 4.00758e+10
0.000404717 3.92777e+10
0.000407935 3.94348e+10
0.000411525 3.95087e+10
0.000414686 3.93255e+10
0.000418155 3.86797e+10
0.00042175 3.75897e+10
0.000425291 3.60804e+10
0.000428636 3.58424e+10
0.000432208 3.52257e+10
0.0004357 3.52013e+10
0.000439332 3.45543e+10
0.000442787 3.37346e+10
0.000446449 3.34191e+10
0.000450291 3.27568e+10
0.000453801 3.33547e+10
0.000457447 3.20737e+10
0.000461323 3.1286e+10
0.000465014 3.07746e+10
0.000468866 3.05866e+10
0.000472806 2.94049e+10
0.00047678 2.97677e+10
0.000480624 2.90723e+10
0.000484555 2.88412e+10
0.000488474 2.8509e+10
0.000492396 2.7537e+10
0.000496538 2.77751e+10
0.000500678 2.71331e+10
0.000504761 2.67358e+10
0.000508767 2.62003e+10
0.000512959 2.60754e+10
0.000517253 2.56035e+10
0.000521544 2.45497e+10
0.000525774 2.49105e+10
0.000530168 2.41482e+10
0.000534431 2.37518e+10
0.00053878 2.31606e+10
0.000543223 2.29288e+10
0.000547788 2.30656e+10
0.000552163 2.24098e+10
0.000556755 2.16536e+10
0.000561463 2.12751e+10
0.000566064 2.15518e+10
0.000570587 2.09094e+10
0.000575277 2.00541e+10
0.000580056 2.01998e+10
0.000584753 2.02527e+10
0.000589576 1.98926e+10
0.000594327 1.96059e+10
0.000599226 1.90363e+10
0.000604166 1.87501e+10
0.000609275 1.80344e+10
0.000614265 1.86317e+10
0.000619191 1.80961e+10
0.000624415 1.77736e+10
0.000629458 1.7453e+10
0.00063466 1.71543e+10
0.00063975 1.68092e+10
0.00064489 1.66216e+10
0.000650271 1.6454e+10
0.000655619 1.59579e+10
0.000661178 1.57581e+10
0.000666601 1.55486e+10
0.00067198 1.5191e+10
0.000677465 1.51473e+10
0.000682952 1.51685e+10
0.000688602 1.4627e+10
0.000694365 1.44933e+10
0.000699968 1.42254e+10
0.00070566 1.38831e+10
0.000711633 1.40499e+10
0.000717351 1.35206e+10
0.000723301 1.30933e+10
0.000729237 1.31885e+10
0.00073526 1.27972e+10
0.000741287 1.28297e+10
0.000747431 1.25415e+10
0.000753573 1.24634e+10
0.000759705 1.22824e+10
0.000765936 1.19558e+10
0.000772341 1.19959e+10
0.000778615 1.17118e+10
0.000785031 1.14012e+10
0.000791493 1.10709e+10
0.000797999 1.10891e+10
0.000804499 1.0839e+10
0.000811074 1.07354e+10
0.000817707 1.0658e+10
0.000824546 1.04051e+10
0.000831271 1.03253e+10
0.000838002 1.01292e+10
0.000844949 9.98613e+09
0.000851929 9.8531e+09
0.000858954 9.53586e+09
0.000865919 9.49692e+09
0.000873072 9.33358e+09
0.000880195 9.2672e+09
0.000887393 8.89159e+09
0.000894783 8.92853e+09
0.000902097 8.77352e+09
0.00090951 8.55042e+09
0.000916929 8.5602e+09
0.000924423 8.35455e+09
0.00093206 8.21323e+09
0.000939669 8.10214e+09
0.000947384 8.06203e+09
0.000955222 7.976e+09
0.000963012 7.74243e+09
0.00097096 7.68834e+09
0.000978975 7.55452e+09
0.000986946 7.40997e+09
0.000995044 7.39951e+09
0.00100317 7.21685e+09
0.00101134 7.0322e+09
0.00101966 6.94361e+09
0.00102811 6.8728e+09
0.0010366 6.79747e+09
0.00104515 6.67222e+09
0.00105367 6.54837e+09
0.0010623 6.43784e+09
0.00107099 6.39049e+09
0.00107984 6.23783e+09
0.00108877 6.17062e+09
0.00109754 6.0957e+09
0.00110658 6.01623e+09
0.00111585 5.86858e+09
0.001125 5.7636e+09
0.00113422 5.67785e+09
0.00114355 5.66294e+09
0.00115284 5.53379e+09
0.0011623 5.46216e+09
0.00117183 5.43487e+09
0.00118147 5.32113e+09
0.00119124 5.22435e+09
0.00120099 5.19716e+09
0.00121082 5.05009e+09
0.00122077 5.03089e+09
0.00123083 4.95162e+09
0.00124092 4.86015e+09
0.00125109 4.73984e+09
0.00126141 4.74479e+09
0.00127177 4.64757e+09
0.00128216 4.57146e+09
0.00129272 4.48757e+09
0.00130337 4.45351e+09
0.00131407 4.39732e+09
0.00132486 4.31592e+09
0.00133574 4.2755e+09
0.00134668 4.19405e+09
0.0013577 4.14994e+09
0.0013688 4.07205e+09
0.00138009 4.00096e+09
0.00139144 3.95105e+09
0.00140285 3.8829e+09
0.00141438 3.84975e+09
0.0014259 3.76213e+09
0.00143763 3.72015e+09
0.00144946 3.64008e+09
0.00146138 3.62446e+09
0.00147343 3.52408e+09
0.00148553 3.52289e+09
0.00149773 3.44931e+09
0.00150998 3.39357e+09
0.00152238 3.34292e+09
0.00153493 3.31414e+09
0.00154754 3.26246e+09
0.0015602 3.22007e+09
0.00157297 3.16524e+09
0.00158593 3.11213e+09
0.00159901 3.07886e+09
0.00161212 3.03847e+09
0.00162533 2.97859e+09
0.00163867 2.93161e+09
0.00165213 2.91301e+09
0.00166568 2.8651e+09
0.00167936 2.81948e+09
0.00169314 2.7921e+09
0.00170706 2.7436e+09
0.00172108 2.69751e+09
0.00173519 2.67309e+09
0.00174947 2.62456e+09
0.00176388 2.58913e+09
0.00177833 2.55309e+09
0.00179289 2.52078e+09
0.00180762 2.48695e+09
0.0018225 2.45637e+09
0.00183749 2.41658e+09
0.00185259 2.38428e+09
0.00186776 2.35101e+09
0.00188308 2.3069e+09
0.00189858 2.28235e+09
0.00191415 2.24622e+09
0.00192986 2.22227e+09
0.00194568 2.19291e+09
0.00196164 2.15981e+09
0.00197781 2.12558e+09
0.00199407 2.0982e+09
0.00201041 2.06798e+09
0.0020269 2.0497e+09
0.00204357 2.01485e+09
0.00206031 1.98352e+09
0.00207723 1.95919e+09
0.00209433 1.92566e+09
0.00211151 1.90788e+09
0.00212883 1.88586e+09
0.00214631 1.84798e+09
0.00216395 1.82309e+09
0.00218171 1.803e+09
0.00219964 1.77456e+09
0.0022177 1.75454e+09
0.00223591 1.73256e+09
0.00225426 1.70576e+09
0.00227273 1.68415e+09
0.00229144 1.66195e+09
0.00231024 1.64088e+09
0.00232919 1.61542e+09
0.00234835 1.59917e+09
0.00236765 1.57666e+09
0.00238708 1.55839e+09
0.00240668 1.53248e+09
0.00242645 1.51621e+09
0.00244635 1.49656e+09
0.00246642 1.47679e+09
0.00248668 1.45593e+09
0.00250712 1.43612e+09
0.0025277 1.41776e+09
0.00254846 1.39813e+09
0.00256938 1.38071e+09
0.00259045 1.36332e+09
0.00261172 1.34747e+09
0.00263319 1.32688e+09
0.00265482 1.31248e+09
0.0026766 1.29022e+09
0.00269857 1.27706e+09
0.00272074 1.25953e+09
0.00274311 1.24122e+09
0.00276562 1.22762e+09
0.00278831 1.2152e+09
0.00281122 1.19386e+09
0.00283428 1.18354e+09
0.00285753 1.16717e+09
0.00288102 1.15173e+09
0.00290469 1.13666e+09
0.00292852 1.12068e+09
0.00295255 1.10813e+09
0.00297682 1.09456e+09
0.00300132 1.08027e+09
0.00302595 1.06753e+09
0.00305077 1.05415e+09
0.00307582 1.04143e+09
0.00310109 1.02825e+09
0.00312652 1.01373e+09
0.00315219 9.99258e+08
0.00317808 9.90422e+08
0.00320418 9.76907e+08
0.00323049 9.66067e+08
0.003257 9.52452e+08
0.00328375 9.41655e+08
0.00331073 9.30001e+08
0.00333793 9.17512e+08
0.00336532 9.05974e+08
0.00339295 8.95698e+08
0.00342081 8.84843e+08
0.0034489 8.75286e+08
0.00347724 8.63692e+08
0.00350579 8.52072e+08
0.00353457 8.41226e+08
0.00356356 8.31649e+08
0.0035928 8.22384e+08
0.0036223 8.11781e+08
0.00365206 8.01109e+08
0.00368208 7.92358e+08
0.00371232 7.82773e+08
0.0037428 7.73775e+08
0.00377353 7.63022e+08
0.00380451 7.55156e+08
0.00383574 7.45886e+08
0.00386724 7.3719e+08
0.00389899 7.28927e+08
0.003931 7.19459e+08
0.0039633 7.10168e+08
0.00399584 7.02788e+08
0.00402865 6.94497e+08
0.00406173 6.8546e+08
0.00409507 6.77575e+08
0.00412871 6.69792e+08
0.00416262 6.62491e+08
0.0041968 6.54321e+08
0.00423127 6.46549e+08
0.004266 6.38823e+08
0.00430101 6.31207e+08
0.00433633 6.23653e+08
0.00437195 6.17037e+08
0.00440786 6.09897e+08
0.00444405 6.02376e+08
0.00448053 5.96397e+08
0.00451731 5.89004e+08
0.0045544 5.82475e+08
0.00459181 5.75507e+08
0.00462953 5.68656e+08
0.00466752 5.62228e+08
0.00470583 5.55858e+08
0.00474448 5.49519e+08
0.00478347 5.43563e+08
0.00482275 5.37017e+08
0.00486234 5.3141e+08
0.00490225 5.2527e+08
0.0049425 5.19677e+08
0.0049831 5.13048e+08
0.00502401 5.08164e+08
0.00506526 5.01877e+08
0.00510687 4.96823e+08
0.00514879 4.91603e+08
0.00519107 4.86003e+08
0.0052337 4.80715e+08
0.00527667 4.75514e+08
0.00532001 4.70573e+08
0.00536367 4.65175e+08
0.00540771 4.60262e+08
0.00545214 4.55574e+08
0.0054969 4.50664e+08
0.00554203 4.46089e+08
0.00558753 4.41136e+08
0.00563342 4.3658e+08
0.00567967 4.32187e+08
0.00572631 4.27831e+08
0.00577334 4.23568e+08
0.00582073 4.19498e+08
0.00586853 4.15254e+08
0.00591672 4.11163e+08
0.0059653 4.07149e+08
0.00601426 4.03103e+08
0.00606365 3.99218e+08
0.00611346 3.95638e+08
0.00616366 3.9187e+08
0.00621427 3.8824e+08
0.00626529 3.85015e+08
0.00631673 3.81693e+08
0.00636859 3.7841e+08
0.00642088 3.75225e+08
0.00647362 3.72208e+08
0.00652677 3.6927e+08
0.00658036 3.66244e+08
0.0066344 3.63346e+08
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