# k P_nu(k)
# a = 0.108604
# nbins = 695
1.22718e-05 4.7739e+11
1.7355e-05 4.99248e+11
2.12555e-05 4.82816e+11
2.45437e-05 4.53433e+11
2.74407e-05 4.24245e+11
3.00598e-05 3.97988e+11
3.471e-05 3.56653e+11
3.68155e-05 3.32671e+11
3.8807e-05 3.11329e+11
4.07011e-05 3.02721e+11
4.25109e-05 2.88561e+11
4.42468e-05 2.81495e+11
4.5917e-05 2.67383e+11
4.90874e-05 2.6118e+11
5.05981e-05 2.52328e+11
5.2065e-05 2.50916e+11
5.34917e-05 2.3983e+11
5.48814e-05 2.37873e+11
5.62367e-05 2.35256e+11
5.75601e-05 2.35663e+11
6.01195e-05 2.21845e+11
6.13592e-05 2.219e+11
6.25744e-05 2.16953e+11
6.37664e-05 2.13698e+11
6.60859e-05 2.09389e+11
6.72157e-05 2.05749e+11
6.942e-05 2.06707e+11
7.04964e-05 1.98275e+11
7.15565e-05 1.89386e+11
7.26012e-05 1.93299e+11
7.36311e-05 1.86575e+11
7.46467e-05 1.78349e+11
7.56487e-05 1.82972e+11
7.7614e-05 1.70017e+11
7.85782e-05 1.71105e+11
7.95307e-05 1.64209e+11
8.04719e-05 1.57885e+11
8.14022e-05 1.59534e+11
8.2322e-05 1.54005e+11
8.32317e-05 1.53349e+11
8.50218e-05 1.49662e+11
8.59029e-05 1.45506e+11
8.67751e-05 1.4215e+11
8.76385e-05 1.37942e+11
8.84935e-05 1.45141e+11
8.93404e-05 1.38333e+11
9.01793e-05 1.33018e+11
9.18341e-05 1.31217e+11
9.26504e-05 1.24356e+11
9.34596e-05 1.24401e+11
9.42618e-05 1.20381e+11
9.58462e-05 1.18614e+11
9.66286e-05 1.17089e+11
9.81748e-05 1.16079e+11
9.89388e-05 1.14251e+11
9.9697e-05 1.11556e+11
0.000100947 1.07749e+11
0.000101938 1.09756e+11
0.000102674 1.08367e+11
0.00010413 1.0719e+11
0.000104851 1.05571e+11
0.000105793 1.03383e+11
0.000106983 1.02108e+11
0.000107685 1.02973e+11
0.000108382 1.03947e+11
0.000109763 9.50274e+10
0.000110447 1.0063e+11
0.000111126 9.57144e+10
0.00011207 9.72336e+10
0.000113141 9.39828e+10
0.000113804 9.7683e+10
0.00011512 9.39907e+10
0.000115772 9.50819e+10
0.000116605 9.31794e+10
0.000118768 9.2764e+10
0.000120655 9.39301e+10
0.000121732 9.01453e+10
0.000122718 8.82099e+10
0.000123466 8.89445e+10
0.000125149 8.64883e+10
0.000125749 8.8803e+10
0.000126644 8.7664e+10
0.000127941 8.5224e+10
0.000128708 8.77328e+10
0.000130739 8.13896e+10
0.000131943 8.20007e+10
0.000132953 8.19332e+10
0.000134431 8.06284e+10
0.000135328 8.10217e+10
0.000136101 7.58401e+10
0.000137477 7.61825e+10
0.00013884 7.00316e+10
0.000139516 7.51475e+10
0.000140611 7.2869e+10
0.000141939 7.07844e+10
0.000143463 6.76768e+10
0.000144385 7.13926e+10
0.000145548 6.73759e+10
0.000146631 6.44085e+10
0.000148112 6.62008e+10
0.00014952 6.33636e+10
0.000150299 6.40019e+10
0.000151832 5.9759e+10
0.000152783 6.20098e+10
0.000154045 6.08967e+10
0.000155658 5.74184e+10
0.00015665 5.76369e+10
0.0001579 5.51557e+10
0.000159354 5.55284e+10
0.000160279 5.63063e+10
0.000161626 5.39201e+10
0.000163463 5.43609e+10
0.000164644 5.28962e+10
0.000165783 5.34773e+10
0.000167197 5.16205e+10
0.000168799 5.1799e+10
0.000170423 5.20219e+10
0.000171157 4.98552e+10
0.000172744 4.94769e+10
0.000174349 4.94439e+10
0.00017592 4.78217e+10
0.000177497 4.7656e+10
0.000178723 4.8419e+10
0.000180282 4.74763e+10
0.000181376 4.73684e+10
0.000182743 4.62592e+10
0.000184551 4.62861e+10
0.000185977 4.60122e+10
0.000187589 4.54443e+10
0.000188953 4.34035e+10
0.000190863 4.42359e+10
0.000192158 4.39115e+10
0.000193916 4.36117e+10
0.000195504 4.16936e+10
0.000197181 4.20003e+10
0.000198613 4.05501e+10
0.000200148 3.95805e+10
0.000201721 3.90321e+10
0.000203587 3.88815e+10
0.00020541 3.77853e+10
0.000207172 3.66273e+10
0.000208922 3.69876e+10
0.000210371 3.57631e+10
0.000212078 3.51276e+10
0.000214191 3.45099e+10
0.000215596 3.47783e+10
0.00021743 3.30534e+10
0.000219259 3.24266e+10
0.000221084 3.16818e+10
0.00022283 3.14471e+10
0.000224493 3.16699e+10
0.000226376 2.99613e+10
0.000228421 3.03284e+10
0.000230288 3.04435e+10
0.000231928 2.95031e+10
0.00023399 2.86475e+10
0.000236053 2.82789e+10
0.000237805 2.88172e+10
0.000239779 2.76569e+10
0.000241744 2.81311e+10
0.000243673 2.72349e+10
0.000245757 2.7335e+10
0.000247871 2.70065e+10
0.00024984 2.68237e+10
0.000251597 2.62427e+10
0.000253565 2.57658e+10
0.000256 2.5374e+10
0.000258364 2.52522e+10
0.000260499 2.51111e+10
0.000262417 2.41174e+10
0.000264367 2.37647e+10
0.000266592 2.31125e+10
0.000268987 2.28107e+10
0.000271108 2.27376e+10
0.000273349 2.20682e+10
0.000275546 2.14152e+10
0.000277706 2.11956e+10
0.000280204 2.06418e+10
0.000282696 2.10143e+10
0.000284955 2.05745e+10
0.000287036 1.96873e+10
0.000289296 1.94672e+10
0.000291909 1.95126e+10
0.000294404 1.93878e+10
0.000296654 1.92053e+10
0.000299082 1.92822e+10
0.000301403 1.86295e+10
0.000303861 1.81706e+10
0.000306413 1.79276e+10
0.000308749 1.74912e+10
0.000311525 1.74272e+10
0.000313955 1.71785e+10
0.000316471 1.70123e+10
0.000319321 1.70499e+10
0.000322008 1.6363e+10
0.000324666 1.60791e+10
0.00032719 1.56635e+10
0.000329929 1.56145e+10
0.000332507 1.55114e+10
0.000335216 1.53286e+10
0.000337986 1.48674e+10
0.000340927 1.44789e+10
0.000343668 1.41942e+10
0.000346605 1.39616e+10
0.000349164 1.39203e+10
0.000352165 1.3406e+10
0.000355188 1.32549e+10
0.000358008 1.33805e+10
0.000361098 1.29859e+10
0.000363971 1.27368e+10
0.00036707 1.23071e+10
0.000369977 1.24377e+10
0.000373107 1.21109e+10
0.000376085 1.20543e+10
0.000379074 1.17542e+10
0.000382228 1.15416e+10
0.00038541 1.15242e+10
0.000388542 1.12999e+10
0.000391757 1.09957e+10
0.000394981 1.09657e+10
0.000398111 1.04793e+10
0.000401474 1.03781e+10
0.000404717 1.02023e+10
0.000407935 1.0142e+10
0.000411525 9.98674e+09
0.000414686 9.9681e+09
0.000418155 9.80283e+09
0.00042175 9.5916e+09
0.000425291 9.23792e+09
0.000428636 9.13113e+09
0.000432208 8.99979e+09
0.0004357 8.95585e+09
0.000439332 8.7871e+09
0.000442787 8.58904e+09
0.000446449 8.48555e+09
0.000450291 8.30356e+09
0.000453801 8.33397e+09
0.000457447 8.06604e+09
0.000461323 7.93747e+09
0.000465014 7.75767e+09
0.000468866 7.69772e+09
0.000472806 7.44933e+09
0.00047678 7.45963e+09
0.000480624 7.24137e+09
0.000484555 7.2332e+09
0.000488474 7.0921e+09
0.000492396 6.91201e+09
0.000496538 6.88712e+09
0.000500678 6.75936e+09
0.000504761 6.63664e+09
0.000508767 6.49986e+09
0.000512959 6.40942e+09
0.000517253 6.33411e+09
0.000521544 6.11798e+09
0.000525774 6.13274e+09
0.000530168 5.96642e+09
0.000534431 5.86463e+09
0.00053878 5.67167e+09
0.000543223 5.63129e+09
0.000547788 5.60462e+09
0.000552163 5.46977e+09
0.000556755 5.36935e+09
0.000561463 5.21497e+09
0.000566064 5.24118e+09
0.000570587 5.11483e+09
0.000575277 4.90414e+09
0.000580056 4.90027e+09
0.000584753 4.90083e+09
0.000589576 4.7648e+09
0.000594327 4.7297e+09
0.000599226 4.58825e+09
0.000604166 4.5143e+09
0.000609275 4.40573e+09
0.000614265 4.4038e+09
0.000619191 4.3521e+09
0.000624415 4.22518e+09
0.000629458 4.14856e+09
0.00063466 4.07354e+09
0.00063975 4.01137e+09
0.00064489 3.95219e+09
0.000650271 3.91156e+09
0.000655619 3.79134e+09
0.000661178 3.72742e+09
0.000666601 3.67497e+09
0.00067198 3.57824e+09
0.000677465 3.58194e+09
0.000682952 3.5544e+09
0.000688602 3.42387e+09
0.000694365 3.40234e+09
0.000699968 3.32778e+09
0.00070566 3.23877e+09
0.000711633 3.21491e+09
0.000717351 3.14025e+09
0.000723301 3.07031e+09
0.000729237 3.04769e+09
0.00073526 2.95444e+09
0.000741287 2.93684e+09
0.000747431 2.87688e+09
0.000753573 2.87134e+09
0.000759705 2.81013e+09
0.000765936 2.74031e+09
0.000772341 2.7198e+09
0.000778615 2.65434e+09
0.000785031 2.61855e+09
0.000791493 2.53383e+09
0.000797999 2.51841e+09
0.000804499 2.45048e+09
0.000811074 2.43034e+09
0.000817707 2.38718e+09
0.000824546 2.33075e+09
0.000831271 2.29698e+09
0.000838002 2.24336e+09
0.000844949 2.2165e+09
0.000851929 2.18741e+09
0.000858954 2.12981e+09
0.000865919 2.10971e+09
0.000873072 2.06614e+09
0.000880195 2.0407e+09
0.000887393 1.97037e+09
0.000894783 1.96728e+09
0.000902097 1.91597e+09
0.00090951 1.88429e+09
0.000916929 1.86028e+09
0.000924423 1.81524e+09
0.00093206 1.7736e+09
0.000939669 1.75693e+09
0.000947384 1.73302e+09
0.000955222 1.70428e+09
0.000963012 1.67104e+09
0.00097096 1.63735e+09
0.000978975 1.61183e+09
0.000986946 1.56168e+09
0.000995044 1.55837e+09
0.00100317 1.52104e+09
0.00101134 1.49588e+09
0.00101966 1.47581e+09
0.00102811 1.44575e+09
0.0010366 1.41684e+09
0.00104515 1.39089e+09
0.00105367 1.37025e+09
0.0010623 1.3264e+09
0.00107099 1.32098e+09
0.00107984 1.29378e+09
0.00108877 1.27687e+09
0.00109754 1.25021e+09
0.00110658 1.23075e+09
0.00111585 1.20581e+09
0.001125 1.17605e+09
0.00113422 1.15684e+09
0.00114355 1.13803e+09
0.00115284 1.1132e+09
0.0011623 1.09824e+09
0.00117183 1.07617e+09
0.00118147 1.06073e+09
0.00119124 1.04175e+09
0.00120099 1.03462e+09
0.00121082 1.00352e+09
0.00122077 9.94083e+08
0.00123083 9.71801e+08
0.00124092 9.48603e+08
0.00125109 9.25023e+08
0.00126141 9.18214e+08
0.00127177 9.05917e+08
0.00128216 8.89821e+08
0.00129272 8.69576e+08
0.00130337 8.5179e+08
0.00131407 8.38622e+08
0.00132486 8.28493e+08
0.00133574 8.04453e+08
0.00134668 7.8878e+08
0.0013577 7.77446e+08
0.0013688 7.68183e+08
0.00138009 7.53906e+08
0.00139144 7.33251e+08
0.00140285 7.23106e+08
0.00141438 7.13088e+08
0.0014259 6.98678e+08
0.00143763 6.83915e+08
0.00144946 6.75132e+08
0.00146138 6.62556e+08
0.00147343 6.46583e+08
0.00148553 6.36172e+08
0.00149773 6.24189e+08
0.00150998 6.1595e+08
0.00152238 6.05263e+08
0.00153493 5.89994e+08
0.00154754 5.84683e+08
0.0015602 5.71378e+08
0.00157297 5.64269e+08
0.00158593 5.51488e+08
0.00159901 5.39999e+08
0.00161212 5.26944e+08
0.00162533 5.22322e+08
0.00163867 5.09171e+08
0.00165213 5.02404e+08
0.00166568 4.93943e+08
0.00167936 4.82772e+08
0.00169314 4.73327e+08
0.00170706 4.65722e+08
0.00172108 4.5809e+08
0.00173519 4.49074e+08
0.00174947 4.40897e+08
0.00176388 4.32857e+08
0.00177833 4.24023e+08
0.00179289 4.18926e+08
0.00180762 4.0932e+08
0.0018225 4.02619e+08
0.00183749 3.95025e+08
0.00185259 3.87231e+08
0.00186776 3.7822e+08
0.00188308 3.73254e+08
0.00189858 3.66925e+08
0.00191415 3.58924e+08
0.00192986 3.5276e+08
0.00194568 3.47936e+08
0.00196164 3.40609e+08
0.00197781 3.33253e+08
0.00199407 3.30005e+08
0.00201041 3.2304e+08
0.0020269 3.16289e+08
0.00204357 3.10168e+08
0.00206031 3.04455e+08
0.00207723 2.98753e+08
0.00209433 2.93288e+08
0.00211151 2.88435e+08
0.00212883 2.83825e+08
0.00214631 2.77782e+08
0.00216395 2.72507e+08
0.00218171 2.67835e+08
0.00219964 2.62829e+08
0.0022177 2.57243e+08
0.00223591 2.5384e+08
0.00225426 2.48794e+08
0.00227273 2.43756e+08
0.00229144 2.40265e+08
0.00231024 2.35246e+08
0.00232919 2.31091e+08
0.00234835 2.27128e+08
0.00236765 2.22845e+08
0.00238708 2.18681e+08
0.00240668 2.14831e+08
0.00242645 2.10809e+08
0.00244635 2.07125e+08
0.00246642 2.02466e+08
0.00248668 1.99191e+08
0.00250712 1.95847e+08
0.0025277 1.91297e+08
0.00254846 1.88648e+08
0.00256938 1.85305e+08
0.00259045 1.81789e+08
0.00261172 1.78473e+08
0.00263319 1.7555e+08
0.00265482 1.71987e+08
0.0026766 1.68253e+08
0.00269857 1.65622e+08
0.00272074 1.62577e+08
0.00274311 1.59497e+08
0.00276562 1.56726e+08
0.00278831 1.54097e+08
0.00281122 1.50897e+08
0.00283428 1.48547e+08
0.00285753 1.45883e+08
0.00288102 1.42642e+08
0.00290469 1.40043e+08
0.00292852 1.37813e+08
0.00295255 1.35061e+08
0.00297682 1.32584e+08
0.00300132 1.30016e+08
0.00302595 1.27976e+08
0.00305077 1.25387e+08
0.00307582 1.232e+08
0.00310109 1.2086e+08
0.00312652 1.18577e+08
0.00315219 1.16422e+08
0.00317808 1.14129e+08
0.00320418 1.12122e+08
0.00323049 1.10237e+08
0.003257 1.07933e+08
0.00328375 1.05892e+08
0.00331073 1.04099e+08
0.00333793 1.02147e+08
0.00336532 1.00065e+08
0.00339295 9.834e+07
0.00342081 9.64227e+07
0.0034489 9.47718e+07
0.00347724 9.28682e+07
0.00350579 9.12064e+07
0.00353457 8.94545e+07
0.00356356 8.78675e+07
0.0035928 8.60726e+07
0.0036223 8.44848e+07
0.00365206 8.28964e+07
0.00368208 8.14547e+07
0.00371232 7.98344e+07
0.0037428 7.84484e+07
0.00377353 7.69192e+07
0.00380451 7.55808e+07
0.00383574 7.42133e+07
0.00386724 7.28607e+07
0.00389899 7.14331e+07
0.003931 6.99769e+07
0.0039633 6.87019e+07
0.00399584 6.74298e+07
0.00402865 6.62986e+07
0.00406173 6.50057e+07
0.00409507 6.3823e+07
0.00412871 6.26658e+07
0.00416262 6.14606e+07
0.0041968 6.03983e+07
0.00423127 5.92441e+07
0.004266 5.82009e+07
0.00430101 5.70371e+07
0.00433633 5.60847e+07
0.00437195 5.50318e+07
0.00440786 5.40221e+07
0.00444405 5.30797e+07
0.00448053 5.21546e+07
0.00451731 5.11222e+07
0.0045544 5.02466e+07
0.00459181 4.93404e+07
0.00462953 4.84508e+07
0.00466752 4.7644e+07
0.00470583 4.67451e+07
0.00474448 4.59472e+07
0.00478347 4.51856e+07
0.00482275 4.43795e+07
0.00486234 4.3618e+07
0.00490225 4.28418e+07
0.0049425 4.21271e+07
0.0049831 4.15126e+07
0.00502401 4.07397e+07
0.00506526 4.00831e+07
0.00510687 3.94416e+07
0.00514879 3.88406e+07
0.00519107 3.81815e+07
0.0052337 3.76035e+07
0.00527667 3.70458e+07
0.00532001 3.64964e+07
0.00536367 3.59529e+07
0.00540771 3.54375e+07
0.00545214 3.49136e+07
0.0054969 3.44441e+07
0.00554203 3.39858e+07
0.00558753 3.35458e+07
0.00563342 3.31203e+07
0.00567967 3.27505e+07
0.00572631 3.23319e+07
0.00577334 3.19701e+07
0.00582073 3.16056e+07
0.00586853 3.13103e+07
0.00591672 3.09907e+07
0.0059653 3.07032e+07
0.00601426 3.04631e+07
0.00606365 3.0187e+07
0.00611346 3.00173e+07
0.00616366 2.98246e+07
0.00621427 2.96787e+07
0.00626529 2.95132e+07
0.00631673 2.94065e+07
0.00636859 2.93193e+07
0.00642088 2.92599e+07
0.00647362 2.92208e+07
0.00652677 2.92177e+07
0.00658036 2.92792e+07
0.0066344 2.93362e+07
0.00668886 2.94165e+07
0.00674379 2.95723e+07
0.00679918 2.97273e+07
0.00685501 2.99525e+07
0.00691131 3.022e+07
0.00696806 3.04923e+07
0.00702526 3.08498e+07
0.00708294 3.12453e+07
0.00714111 3.16706e+07
0.00719973 3.21701e+07
0.00725885 3.2722e+07
0.00731846 3.32996e+07
0.00737856 3.3982e+07
0.00743915 3.47314e+07
0.00750022 3.55606e+07
0.0075618 3.64116e+07
0.0076239 3.7387e+07
0.00768649 3.84353e+07
0.00774961 3.95583e+07
0.00781325 4.08453e+07
0.00787742 4.21097e+07
0.0079421 4.35237e+07
0.0080073 4.51205e+07
0.00807306 4.68491e+07
0.00813935 4.85358e+07
0.00820618 5.06442e+07
0.00827356 5.25685e+07
0.0083415 5.49585e+07
0.00840998 5.72454e+07
0.00847904 5.98355e+07
0.00854867 6.25703e+07
0.00861886 6.54184e+07
0.00868963 6.85255e+07
0.00876099 7.20173e+07
0.00883292 7.55391e+07
0.00890544 7.92718e+07
0.00897858 8.33432e+07
0.00905231 8.74907e+07
0.00912663 9.19476e+07
0.00920156 9.67504e+07
0.00927713 1.01793e+08
0.0093533 1.0711e+08
0.0094301 1.12405e+08
0.00950753 1.18094e+08
0.0095856 1.24347e+08
0.00966431 1.30368e+08
0.00974367 1.36879e+08
0.00982367 1.43338e+08
0.00990433 1.5057e+08
0.00998566 1.57294e+08
0.0100677 1.64844e+08
0.0101503 1.72226e+08
0.0102337 1.79397e+08
0.0103177 1.86971e+08
0.0104024 1.94657e+08
0.0104878 2.01912e+08
0.010574 2.09178e+08
0.0106608 2.16222e+08
0.0107483 2.22835e+08
0.0108366 2.29683e+08
0.0109256 2.35231e+08
0.0110152 2.38221e+08
0.0111055 1.54819e+08
0.0111967 9.55052e+07
0.0112886 7.06314e+07
0.0113813 5.81829e+07
0.0114748 5.15771e+07
0.011569 4.80742e+07
0.011664 4.64741e+07
0.0117598 4.61767e+07
0.0118563 4.68575e+07
0.0119537 4.83418e+07
0.0120518 5.05173e+07
0.0121508 5.33072e+07
0.0122505 5.6828e+07
0.0123511 6.08929e+07
0.0124525 6.57039e+07
0.0125548 7.12517e+07
0.0126579 7.75283e+07
0.0127618 8.47117e+07
0.0128666 9.27409e+07
0.0129722 1.01783e+08
0.0130787 1.11924e+08
0.0131861 1.23183e+08
0.0132944 1.35682e+08
0.0134035 1.49313e+08
0.0135136 1.64633e+08
0.0136245 1.80976e+08
0.0137363 1.98719e+08
0.0138491 2.17894e+08
0.0139628 2.37971e+08
0.0140774 2.59009e+08
0.014193 2.81134e+08
0.0143095 3.03125e+08
0.014427 3.25217e+08
0.0145454 3.45832e+08
0.0146648 3.65106e+08
0.0147852 3.80983e+08
0.0149065 3.92767e+08
0.0150288 3.97911e+08
0.0151522 3.93952e+08
0.0152765 3.77603e+08
0.0154018 3.45444e+08
0.0155281 2.88373e+08
0.0156556 2.19715e+08
0.0157843 2.06614e+08
0.0159139 2.20131e+08
0.0160445 2.45323e+08
0.0161763 2.79565e+08
0.0163091 3.22177e+08
0.0164429 3.73743e+08
0.0165779 4.34606e+08
0.0167139 5.05826e+08
0.0168511 5.88763e+08
0.0169894 6.85786e+08
0.0171288 7.96074e+08
0.0172693 9.21629e+08
0.0174109 1.06444e+09
0.0175537 1.22572e+09
0.0176976 1.40653e+09
0.0178426 1.60565e+09
0.0179887 1.82705e+09
0.018136 2.07427e+09
0.0182842 2.33555e+09
0.0184332 2.62467e+09
0.0185832 2.92913e+09
0.0187336 3.27921e+09
0.0188802 3.60987e+09
0.0190113 3.94277e+09
0.0191299 1.01626e+09