# k P_nu(k)
# a = 0.0509693
# nbins = 695
1.22718e-05 1.05818e+11
1.7355e-05 1.10556e+11
2.12555e-05 1.06853e+11
2.45437e-05 1.00646e+11
2.74407e-05 9.42855e+10
3.00598e-05 8.8391e+10
3.471e-05 7.86779e+10
3.68155e-05 7.39855e+10
3.8807e-05 6.98491e+10
4.07011e-05 6.73026e+10
4.25109e-05 6.44226e+10
4.42468e-05 6.24828e+10
4.5917e-05 5.99597e+10
4.90874e-05 5.76172e+10
5.05981e-05 5.603e+10
5.2065e-05 5.52606e+10
5.34917e-05 5.35726e+10
5.48814e-05 5.2874e+10
5.62367e-05 5.21605e+10
5.75601e-05 5.17923e+10
6.01195e-05 4.95871e+10
6.13592e-05 4.92074e+10
6.25744e-05 4.83342e+10
6.37664e-05 4.76429e+10
6.60859e-05 4.64579e+10
6.72157e-05 4.57289e+10
6.942e-05 4.50542e+10
7.04964e-05 4.38266e+10
7.15565e-05 4.25439e+10
7.26012e-05 4.25388e+10
7.36311e-05 4.14676e+10
7.46467e-05 4.02505e+10
7.56487e-05 4.03547e+10
7.7614e-05 3.82211e+10
7.85782e-05 3.79603e+10
7.95307e-05 3.68615e+10
8.04719e-05 3.58586e+10
8.14022e-05 3.56354e+10
8.2322e-05 3.47283e+10
8.32317e-05 3.42928e+10
8.50218e-05 3.32712e+10
8.59029e-05 3.24687e+10
8.67751e-05 3.18013e+10
8.76385e-05 3.10554e+10
8.84935e-05 3.14912e+10
8.93404e-05 3.05093e+10
9.01793e-05 2.96787e+10
9.18341e-05 2.89605e+10
9.26504e-05 2.80202e+10
9.34596e-05 2.77772e+10
9.42618e-05 2.71286e+10
9.58462e-05 2.65327e+10
9.66286e-05 2.61863e+10
9.81748e-05 2.56997e+10
9.89388e-05 2.53439e+10
9.9697e-05 2.49185e+10
0.000100947 2.4286e+10
0.000101938 2.42814e+10
0.000102674 2.40248e+10
0.00010413 2.36353e+10
0.000104851 2.33763e+10
0.000105793 2.30307e+10
0.000106983 2.27482e+10
0.000107685 2.27192e+10
0.000108382 2.27419e+10
0.000109763 2.16222e+10
0.000110447 2.2182e+10
0.000111126 2.15927e+10
0.00011207 2.16564e+10
0.000113141 2.12264e+10
0.000113804 2.15435e+10
0.00011512 2.10475e+10
0.000115772 2.10997e+10
0.000116605 2.08228e+10
0.000118768 2.06181e+10
0.000120655 2.05783e+10
0.000121732 2.01011e+10
0.000122718 1.97933e+10
0.000123466 1.98074e+10
0.000125149 1.94178e+10
0.000125749 1.95778e+10
0.000126644 1.93808e+10
0.000127941 1.89922e+10
0.000128708 1.91512e+10
0.000130739 1.8294e+10
0.000131943 1.8224e+10
0.000132953 1.80796e+10
0.000134431 1.77945e+10
0.000135328 1.77308e+10
0.000136101 1.70803e+10
0.000137477 1.69551e+10
0.00013884 1.61363e+10
0.000139516 1.65826e+10
0.000140611 1.61957e+10
0.000141939 1.58101e+10
0.000143463 1.53004e+10
0.000144385 1.55725e+10
0.000145548 1.49953e+10
0.000146631 1.45668e+10
0.000148112 1.4574e+10
0.00014952 1.41139e+10
0.000150299 1.41053e+10
0.000151832 1.34856e+10
0.000152783 1.36186e+10
0.000154045 1.33687e+10
0.000155658 1.28546e+10
0.00015665 1.27923e+10
0.0001579 1.24273e+10
0.000159354 1.23508e+10
0.000160279 1.23606e+10
0.000161626 1.20185e+10
0.000163463 1.19394e+10
0.000164644 1.17188e+10
0.000165783 1.17321e+10
0.000167197 1.14455e+10
0.000168799 1.14038e+10
0.000170423 1.13415e+10
0.000171157 1.10883e+10
0.000172744 1.09878e+10
0.000174349 1.09328e+10
0.00017592 1.06864e+10
0.000177497 1.06212e+10
0.000178723 1.06608e+10
0.000180282 1.0508e+10
0.000181376 1.04511e+10
0.000182743 1.02949e+10
0.000184551 1.02286e+10
0.000185977 1.01465e+10
0.000187589 1.00266e+10
0.000188953 9.75616e+09
0.000190863 9.75709e+09
0.000192158 9.66993e+09
0.000193916 9.56161e+09
0.000195504 9.28202e+09
0.000197181 9.22682e+09
0.000198613 9.01465e+09
0.000200148 8.84066e+09
0.000201721 8.7017e+09
0.000203587 8.58512e+09
0.00020541 8.37667e+09
0.000207172 8.17188e+09
0.000208922 8.11997e+09
0.000210371 7.93001e+09
0.000212078 7.78135e+09
0.000214191 7.62899e+09
0.000215596 7.59357e+09
0.00021743 7.35201e+09
0.000219259 7.21408e+09
0.000221084 7.06377e+09
0.00022283 6.98634e+09
0.000224493 6.95934e+09
0.000226376 6.71942e+09
0.000228421 6.711e+09
0.000230288 6.67317e+09
0.000231928 6.54428e+09
0.00023399 6.39443e+09
0.000236053 6.3266e+09
0.000237805 6.34281e+09
0.000239779 6.18043e+09
0.000241744 6.1898e+09
0.000243673 6.0612e+09
0.000245757 6.03258e+09
0.000247871 5.95815e+09
0.00024984 5.90742e+09
0.000251597 5.80185e+09
0.000253565 5.70893e+09
0.000256 5.61525e+09
0.000258364 5.55715e+09
0.000260499 5.48546e+09
0.000262417 5.33944e+09
0.000264367 5.26661e+09
0.000266592 5.14596e+09
0.000268987 5.07051e+09
0.000271108 4.99798e+09
0.000273349 4.88435e+09
0.000275546 4.76413e+09
0.000277706 4.70421e+09
0.000280204 4.59445e+09
0.000282696 4.58763e+09
0.000284955 4.49546e+09
0.000287036 4.37747e+09
0.000289296 4.31886e+09
0.000291909 4.28482e+09
0.000294404 4.23191e+09
0.000296654 4.19183e+09
0.000299082 4.1636e+09
0.000301403 4.06689e+09
0.000303861 3.99381e+09
0.000306413 3.93863e+09
0.000308749 3.86816e+09
0.000311525 3.82587e+09
0.000313955 3.78024e+09
0.000316471 3.72405e+09
0.000319321 3.69321e+09
0.000322008 3.5896e+09
0.000324666 3.53335e+09
0.00032719 3.46044e+09
0.000329929 3.4273e+09
0.000332507 3.38333e+09
0.000335216 3.32999e+09
0.000337986 3.25329e+09
0.000340927 3.1782e+09
0.000343668 3.11706e+09
0.000346605 3.06589e+09
0.000349164 3.03496e+09
0.000352165 2.95216e+09
0.000355188 2.91179e+09
0.000358008 2.90254e+09
0.000361098 2.83718e+09
0.000363971 2.78889e+09
0.00036707 2.72508e+09
0.000369977 2.71501e+09
0.000373107 2.65726e+09
0.000376085 2.62849e+09
0.000379074 2.57571e+09
0.000382228 2.53066e+09
0.00038541 2.50932e+09
0.000388542 2.46473e+09
0.000391757 2.40697e+09
0.000394981 2.3855e+09
0.000398111 2.31158e+09
0.000401474 2.27865e+09
0.000404717 2.2419e+09
0.000407935 2.21275e+09
0.000411525 2.17095e+09
0.000414686 2.15528e+09
0.000418155 2.11747e+09
0.00042175 2.07959e+09
0.000425291 2.02176e+09
0.000428636 1.99261e+09
0.000432208 1.96378e+09
0.0004357 1.94524e+09
0.000439332 1.90888e+09
0.000442787 1.87232e+09
0.000446449 1.84509e+09
0.000450291 1.80849e+09
0.000453801 1.79578e+09
0.000457447 1.74934e+09
0.000461323 1.7233e+09
0.000465014 1.6889e+09
0.000468866 1.66523e+09
0.000472806 1.62716e+09
0.00047678 1.60987e+09
0.000480624 1.57083e+09
0.000484555 1.55905e+09
0.000488474 1.53079e+09
0.000492396 1.49786e+09
0.000496538 1.48164e+09
0.000500678 1.45547e+09
0.000504761 1.4302e+09
0.000508767 1.40315e+09
0.000512959 1.37834e+09
0.000517253 1.35971e+09
0.000521544 1.32471e+09
0.000525774 1.31358e+09
0.000530168 1.28595e+09
0.000534431 1.261e+09
0.00053878 1.22904e+09
0.000543223 1.21499e+09
0.000547788 1.20029e+09
0.000552163 1.17598e+09
0.000556755 1.15589e+09
0.000561463 1.12851e+09
0.000566064 1.11897e+09
0.000570587 1.09773e+09
0.000575277 1.06461e+09
0.000580056 1.05451e+09
0.000584753 1.04653e+09
0.000589576 1.02072e+09
0.000594327 1.00761e+09
0.000599226 9.84433e+08
0.000604166 9.66764e+08
0.000609275 9.48906e+08
0.000614265 9.36246e+08
0.000619191 9.24442e+08
0.000624415 9.00823e+08
0.000629458 8.86607e+08
0.00063466 8.69751e+08
0.00063975 8.56336e+08
0.00064489 8.41262e+08
0.000650271 8.29738e+08
0.000655619 8.09725e+08
0.000661178 7.95123e+08
0.000666601 7.81515e+08
0.00067198 7.64815e+08
0.000677465 7.59009e+08
0.000682952 7.47434e+08
0.000688602 7.26386e+08
0.000694365 7.19403e+08
0.000699968 7.059e+08
0.00070566 6.87657e+08
0.000711633 6.77665e+08
0.000717351 6.65658e+08
0.000723301 6.52354e+08
0.000729237 6.43419e+08
0.00073526 6.27938e+08
0.000741287 6.19313e+08
0.000747431 6.07715e+08
0.000753573 6.01023e+08
0.000759705 5.89319e+08
0.000765936 5.75891e+08
0.000772341 5.68475e+08
0.000778615 5.57147e+08
0.000785031 5.48222e+08
0.000791493 5.33255e+08
0.000797999 5.27158e+08
0.000804499 5.15248e+08
0.000811074 5.08621e+08
0.000817707 4.98023e+08
0.000824546 4.8834e+08
0.000831271 4.79305e+08
0.000838002 4.69619e+08
0.000844949 4.62506e+08
0.000851929 4.5667e+08
0.000858954 4.44758e+08
0.000865919 4.38952e+08
0.000873072 4.29806e+08
0.000880195 4.22917e+08
0.000887393 4.12207e+08
0.000894783 4.07329e+08
0.000902097 3.98092e+08
0.00090951 3.92017e+08
0.000916929 3.85035e+08
0.000924423 3.76213e+08
0.00093206 3.69135e+08
0.000939669 3.62707e+08
0.000947384 3.56795e+08
0.000955222 3.51229e+08
0.000963012 3.44768e+08
0.00097096 3.37726e+08
0.000978975 3.31949e+08
0.000986946 3.22771e+08
0.000995044 3.1923e+08
0.00100317 3.12951e+08
0.00101134 3.07874e+08
0.00101966 3.03339e+08
0.00102811 2.95754e+08
0.0010366 2.90059e+08
0.00104515 2.8461e+08
0.00105367 2.79919e+08
0.0010623 2.71996e+08
0.00107099 2.69776e+08
0.00107984 2.63854e+08
0.00108877 2.59936e+08
0.00109754 2.54746e+08
0.00110658 2.5038e+08
0.00111585 2.44962e+08
0.001125 2.39774e+08
0.00113422 2.35877e+08
0.00114355 2.30747e+08
0.00115284 2.25683e+08
0.0011623 2.22634e+08
0.00117183 2.18068e+08
0.00118147 2.13809e+08
0.00119124 2.10584e+08
0.00120099 2.08067e+08
0.00121082 2.03174e+08
0.00122077 1.99093e+08
0.00123083 1.95111e+08
0.00124092 1.91228e+08
0.00125109 1.86771e+08
0.00126141 1.83324e+08
0.00127177 1.81311e+08
0.00128216 1.77602e+08
0.00129272 1.73943e+08
0.00130337 1.70269e+08
0.00131407 1.67299e+08
0.00132486 1.64172e+08
0.00133574 1.60519e+08
0.00134668 1.58043e+08
0.0013577 1.5475e+08
0.0013688 1.51876e+08
0.00138009 1.49539e+08
0.00139144 1.45165e+08
0.00140285 1.43028e+08
0.00141438 1.40686e+08
0.0014259 1.3799e+08
0.00143763 1.35152e+08
0.00144946 1.33455e+08
0.00146138 1.30579e+08
0.00147343 1.27383e+08
0.00148553 1.24954e+08
0.00149773 1.22506e+08
0.00150998 1.20634e+08
0.00152238 1.18098e+08
0.00153493 1.15681e+08
0.00154754 1.1399e+08
0.0015602 1.11511e+08
0.00157297 1.09599e+08
0.00158593 1.06922e+08
0.00159901 1.04826e+08
0.00161212 1.02671e+08
0.00162533 1.01065e+08
0.00163867 9.85055e+07
0.00165213 9.72901e+07
0.00166568 9.53158e+07
0.00167936 9.33261e+07
0.00169314 9.14832e+07
0.00170706 8.9611e+07
0.00172108 8.8022e+07
0.00173519 8.635e+07
0.00174947 8.45179e+07
0.00176388 8.29691e+07
0.00177833 8.14096e+07
0.00179289 7.97698e+07
0.00180762 7.81276e+07
0.0018225 7.66128e+07
0.00183749 7.52418e+07
0.00185259 7.36419e+07
0.00186776 7.19293e+07
0.00188308 7.06717e+07
0.00189858 6.93891e+07
0.00191415 6.80912e+07
0.00192986 6.65853e+07
0.00194568 6.5467e+07
0.00196164 6.40922e+07
0.00197781 6.29374e+07
0.00199407 6.1643e+07
0.00201041 6.04372e+07
0.0020269 5.93625e+07
0.00204357 5.79861e+07
0.00206031 5.69578e+07
0.00207723 5.56968e+07
0.00209433 5.47636e+07
0.00211151 5.36037e+07
0.00212883 5.25268e+07
0.00214631 5.14589e+07
0.00216395 5.04617e+07
0.00218171 4.95191e+07
0.00219964 4.86137e+07
0.0022177 4.75369e+07
0.00223591 4.65823e+07
0.00225426 4.56678e+07
0.00227273 4.47045e+07
0.00229144 4.39506e+07
0.00231024 4.31694e+07
0.00232919 4.21533e+07
0.00234835 4.14207e+07
0.00236765 4.05814e+07
0.00238708 3.97209e+07
0.00240668 3.89555e+07
0.00242645 3.82173e+07
0.00244635 3.7378e+07
0.00246642 3.66112e+07
0.00248668 3.59886e+07
0.00250712 3.52615e+07
0.0025277 3.46225e+07
0.00254846 3.38973e+07
0.00256938 3.31962e+07
0.00259045 3.25238e+07
0.00261172 3.19681e+07
0.00263319 3.12798e+07
0.00265482 3.06687e+07
0.0026766 3.00388e+07
0.00269857 2.95236e+07
0.00272074 2.88593e+07
0.00274311 2.83871e+07
0.00276562 2.78071e+07
0.00278831 2.72538e+07
0.00281122 2.67046e+07
0.00283428 2.62002e+07
0.00285753 2.56043e+07
0.00288102 2.51863e+07
0.00290469 2.47318e+07
0.00292852 2.4208e+07
0.00295255 2.37251e+07
0.00297682 2.3209e+07
0.00300132 2.27436e+07
0.00302595 2.23773e+07
0.00305077 2.18863e+07
0.00307582 2.14002e+07
0.00310109 2.10242e+07
0.00312652 2.05779e+07
0.00315219 2.01468e+07
0.00317808 1.97786e+07
0.00320418 1.92907e+07
0.00323049 1.89176e+07
0.003257 1.85603e+07
0.00328375 1.81857e+07
0.00331073 1.77839e+07
0.00333793 1.74062e+07
0.00336532 1.70621e+07
0.00339295 1.6733e+07
0.00342081 1.63805e+07
0.0034489 1.60338e+07
0.00347724 1.56828e+07
0.00350579 1.53753e+07
0.00353457 1.50741e+07
0.00356356 1.47594e+07
0.0035928 1.44208e+07
0.0036223 1.41475e+07
0.00365206 1.38801e+07
0.00368208 1.35833e+07
0.00371232 1.32998e+07
0.0037428 1.30503e+07
0.00377353 1.27836e+07
0.00380451 1.25165e+07
0.00383574 1.22706e+07
0.00386724 1.20144e+07
0.00389899 1.17816e+07
0.003931 1.15501e+07
0.0039633 1.13144e+07
0.00399584 1.10845e+07
0.00402865 1.08718e+07
0.00406173 1.06644e+07
0.00409507 1.04666e+07
0.00412871 1.02605e+07
0.00416262 1.00591e+07
0.0041968 9.86589e+06
0.00423127 9.65498e+06
0.004266 9.49237e+06
0.00430101 9.2989e+06
0.00433633 9.14001e+06
0.00437195 8.9531e+06
0.00440786 8.79868e+06
0.00444405 8.62322e+06
0.00448053 8.47563e+06
0.00451731 8.32183e+06
0.0045544 8.1727e+06
0.00459181 8.02797e+06
0.00462953 7.89232e+06
0.00466752 7.76266e+06
0.00470583 7.62206e+06
0.00474448 7.50243e+06
0.00478347 7.36557e+06
0.00482275 7.25097e+06
0.00486234 7.13903e+06
0.00490225 7.0258e+06
0.0049425 6.92166e+06
0.0049831 6.82905e+06
0.00502401 6.73157e+06
0.00506526 6.63411e+06
0.00510687 6.54015e+06
0.00514879 6.45877e+06
0.00519107 6.38493e+06
0.0052337 6.30958e+06
0.00527667 6.23734e+06
0.00532001 6.1799e+06
0.00536367 6.11803e+06
0.00540771 6.06928e+06
0.00545214 6.0163e+06
0.0054969 5.97082e+06
0.00554203 5.93294e+06
0.00558753 5.90392e+06
0.00563342 5.88378e+06
0.00567967 5.8627e+06
0.00572631 5.85233e+06
0.00577334 5.85278e+06
0.00582073 5.85648e+06
0.00586853 5.86574e+06
0.00591672 5.88482e+06
0.0059653 5.91695e+06
0.00601426 5.95381e+06
0.00606365 6.00504e+06
0.00611346 6.07092e+06
0.00616366 6.14055e+06
0.00621427 6.22879e+06
0.00626529 6.31535e+06
0.00631673 6.4317e+06
0.00636859 6.55064e+06
0.00642088 6.70809e+06
0.00647362 6.86413e+06
0.00652677 7.03963e+06
0.00658036 7.25291e+06
0.0066344 7.47301e+06
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