# k P_nu(k)
# a = 0.419718
# nbins = 695
1.22718e-05 6.71815e+12
1.7355e-05 7.07042e+12
2.12555e-05 6.86117e+12
2.45437e-05 6.33958e+12
2.74407e-05 5.89898e+12
3.00598e-05 5.55085e+12
3.471e-05 5.14958e+12
3.68155e-05 4.60536e+12
3.8807e-05 4.12379e+12
4.07011e-05 4.20015e+12
4.25109e-05 3.90897e+12
4.42468e-05 3.93629e+12
4.5917e-05 3.55871e+12
4.90874e-05 3.77733e+12
5.05981e-05 3.51779e+12
5.2065e-05 3.65498e+12
5.34917e-05 3.24416e+12
5.48814e-05 3.30586e+12
5.62367e-05 3.30887e+12
5.75601e-05 3.47278e+12
6.01195e-05 2.98519e+12
6.13592e-05 3.13437e+12
6.25744e-05 2.96923e+12
6.37664e-05 2.93214e+12
6.60859e-05 2.93263e+12
6.72157e-05 2.85832e+12
6.942e-05 3.16371e+12
7.04964e-05 2.82998e+12
7.15565e-05 2.47109e+12
7.26012e-05 2.81895e+12
7.36311e-05 2.61821e+12
7.46467e-05 2.2486e+12
7.56487e-05 2.61298e+12
7.7614e-05 2.21542e+12
7.85782e-05 2.38569e+12
7.95307e-05 2.1644e+12
8.04719e-05 1.96256e+12
8.14022e-05 2.18502e+12
8.2322e-05 1.95852e+12
8.32317e-05 2.05587e+12
8.50218e-05 1.9793e+12
8.59029e-05 1.99649e+12
8.67751e-05 1.91789e+12
8.76385e-05 1.80195e+12
8.84935e-05 2.27922e+12
8.93404e-05 2.01192e+12
9.01793e-05 1.83357e+12
9.18341e-05 1.91612e+12
9.26504e-05 1.61691e+12
9.34596e-05 1.74458e+12
9.42618e-05 1.58274e+12
9.58462e-05 1.60063e+12
9.66286e-05 1.56979e+12
9.81748e-05 1.60486e+12
9.89388e-05 1.62801e+12
9.9697e-05 1.51755e+12
0.000100947 1.3614e+12
0.000101938 1.59549e+12
0.000102674 1.54378e+12
0.00010413 1.59097e+12
0.000104851 1.5319e+12
0.000105793 1.42464e+12
0.000106983 1.37693e+12
0.000107685 1.51064e+12
0.000108382 1.57306e+12
0.000109763 1.2361e+12
0.000110447 1.4517e+12
0.000111126 1.24792e+12
0.00011207 1.3698e+12
0.000113141 1.21975e+12
0.000113804 1.4115e+12
0.00011512 1.25196e+12
0.000115772 1.34559e+12
0.000116605 1.29529e+12
0.000118768 1.29554e+12
0.000120655 1.39911e+12
0.000121732 1.23821e+12
0.000122718 1.22828e+12
0.000123466 1.24019e+12
0.000125149 1.11913e+12
0.000125749 1.28968e+12
0.000126644 1.25209e+12
0.000127941 1.18447e+12
0.000128708 1.35524e+12
0.000130739 1.07783e+12
0.000131943 1.14886e+12
0.000132953 1.22464e+12
0.000134431 1.16442e+12
0.000135328 1.19013e+12
0.000136101 9.80045e+11
0.000137477 1.04654e+12
0.00013884 8.07363e+11
0.000139516 1.09188e+12
0.000140611 1.03894e+12
0.000141939 9.87405e+11
0.000143463 8.78066e+11
0.000144385 1.06362e+12
0.000145548 9.49936e+11
0.000146631 8.45875e+11
0.000148112 9.60612e+11
0.00014952 8.87302e+11
0.000150299 9.0101e+11
0.000151832 7.91503e+11
0.000152783 9.18922e+11
0.000154045 9.14312e+11
0.000155658 7.92664e+11
0.00015665 8.29031e+11
0.0001579 7.44324e+11
0.000159354 8.0282e+11
0.000160279 8.59396e+11
0.000161626 7.73822e+11
0.000163463 8.27058e+11
0.000164644 7.88466e+11
0.000165783 7.76341e+11
0.000167197 7.65566e+11
0.000168799 7.56732e+11
0.000170423 8.15671e+11
0.000171157 7.16822e+11
0.000172744 7.02315e+11
0.000174349 7.04694e+11
0.00017592 6.84038e+11
0.000177497 6.70544e+11
0.000178723 7.12178e+11
0.000180282 6.92708e+11
0.000181376 7.0808e+11
0.000182743 6.50827e+11
0.000184551 6.79727e+11
0.000185977 6.76995e+11
0.000187589 6.59389e+11
0.000188953 6.1014e+11
0.000190863 6.58067e+11
0.000192158 6.53808e+11
0.000193916 6.57004e+11
0.000195504 6.05766e+11
0.000197181 6.4725e+11
0.000198613 5.78419e+11
0.000200148 5.63439e+11
0.000201721 5.57149e+11
0.000203587 5.86938e+11
0.00020541 5.54637e+11
0.000207172 5.3805e+11
0.000208922 5.88633e+11
0.000210371 5.48502e+11
0.000212078 5.30632e+11
0.000214191 5.07809e+11
0.000215596 5.44638e+11
0.00021743 4.74268e+11
0.000219259 4.78278e+11
0.000221084 4.69241e+11
0.00022283 4.5099e+11
0.000224493 4.72041e+11
0.000226376 4.39392e+11
0.000228421 4.49715e+11
0.000230288 4.69719e+11
0.000231928 4.24874e+11
0.00023399 4.27006e+11
0.000236053 3.98784e+11
0.000237805 4.38291e+11
0.000239779 4.00276e+11
0.000241744 4.38607e+11
0.000243673 3.95706e+11
0.000245757 4.15525e+11
0.000247871 4.07803e+11
0.00024984 4.00442e+11
0.000251597 4.01672e+11
0.000253565 3.96677e+11
0.000256 4.02363e+11
0.000258364 3.87656e+11
0.000260499 4.11605e+11
0.000262417 3.88792e+11
0.000264367 3.68341e+11
0.000266592 3.39422e+11
0.000268987 3.25503e+11
0.000271108 3.61959e+11
0.000273349 3.40703e+11
0.000275546 3.39315e+11
0.000277706 3.19986e+11
0.000280204 3.12372e+11
0.000282696 3.3891e+11
0.000284955 3.44346e+11
0.000287036 3.06257e+11
0.000289296 3.07159e+11
0.000291909 3.16167e+11
0.000294404 3.12565e+11
0.000296654 3.15536e+11
0.000299082 3.26274e+11
0.000301403 3.18615e+11
0.000303861 2.94255e+11
0.000306413 2.89784e+11
0.000308749 2.79907e+11
0.000311525 2.85221e+11
0.000313955 2.69762e+11
0.000316471 2.79493e+11
0.000319321 2.89479e+11
0.000322008 2.6865e+11
0.000324666 2.58725e+11
0.00032719 2.57527e+11
0.000329929 2.57707e+11
0.000332507 2.5249e+11
0.000335216 2.6443e+11
0.000337986 2.43929e+11
0.000340927 2.40138e+11
0.000343668 2.42917e+11
0.000346605 2.36335e+11
0.000349164 2.38243e+11
0.000352165 2.27946e+11
0.000355188 2.30209e+11
0.000358008 2.28225e+11
0.000361098 2.15053e+11
0.000363971 2.2315e+11
0.00036707 2.08002e+11
0.000369977 2.11796e+11
0.000373107 2.10718e+11
0.000376085 2.21244e+11
0.000379074 2.11754e+11
0.000382228 2.09051e+11
0.00038541 2.01675e+11
0.000388542 1.99421e+11
0.000391757 1.97414e+11
0.000394981 1.92221e+11
0.000398111 1.85807e+11
0.000401474 1.84531e+11
0.000404717 1.84723e+11
0.000407935 1.83373e+11
0.000411525 1.85869e+11
0.000414686 1.80391e+11
0.000418155 1.78405e+11
0.00042175 1.73032e+11
0.000425291 1.7099e+11
0.000428636 1.69389e+11
0.000432208 1.63044e+11
0.0004357 1.67451e+11
0.000439332 1.6439e+11
0.000442787 1.61462e+11
0.000446449 1.62582e+11
0.000450291 1.567e+11
0.000453801 1.62479e+11
0.000457447 1.55522e+11
0.000461323 1.5167e+11
0.000465014 1.51692e+11
0.000468866 1.47439e+11
0.000472806 1.47554e+11
0.00047678 1.44115e+11
0.000480624 1.44882e+11
0.000484555 1.42483e+11
0.000488474 1.44181e+11
0.000492396 1.36499e+11
0.000496538 1.36934e+11
0.000500678 1.35485e+11
0.000504761 1.34205e+11
0.000508767 1.31237e+11
0.000512959 1.33554e+11
0.000517253 1.26308e+11
0.000521544 1.24565e+11
0.000525774 1.26234e+11
0.000530168 1.24694e+11
0.000534431 1.2152e+11
0.00053878 1.23176e+11
0.000543223 1.1992e+11
0.000547788 1.19957e+11
0.000552163 1.17884e+11
0.000556755 1.10693e+11
0.000561463 1.14791e+11
0.000566064 1.10187e+11
0.000570587 1.08831e+11
0.000575277 1.08456e+11
0.000580056 1.08626e+11
0.000584753 1.08295e+11
0.000589576 1.07075e+11
0.000594327 1.05454e+11
0.000599226 1.06363e+11
0.000604166 1.03031e+11
0.000609275 1.0017e+11
0.000614265 1.00578e+11
0.000619191 9.86635e+10
0.000624415 9.85172e+10
0.000629458 9.56106e+10
0.00063466 9.67754e+10
0.00063975 9.55089e+10
0.00064489 9.27798e+10
0.000650271 9.31718e+10
0.000655619 9.18823e+10
0.000661178 8.91681e+10
0.000666601 8.76226e+10
0.00067198 8.60084e+10
0.000677465 8.73175e+10
0.000682952 8.49076e+10
0.000688602 8.51674e+10
0.000694365 8.30789e+10
0.000699968 8.35844e+10
0.00070566 8.29509e+10
0.000711633 8.30299e+10
0.000717351 7.99032e+10
0.000723301 7.96181e+10
0.000729237 7.79164e+10
0.00073526 7.76453e+10
0.000741287 7.76205e+10
0.000747431 7.66734e+10
0.000753573 7.57804e+10
0.000759705 7.47603e+10
0.000765936 7.37608e+10
0.000772341 7.39226e+10
0.000778615 7.21117e+10
0.000785031 7.00683e+10
0.000791493 7.08287e+10
0.000797999 6.95387e+10
0.000804499 6.78029e+10
0.000811074 6.86683e+10
0.000817707 6.64384e+10
0.000824546 6.64353e+10
0.000831271 6.60898e+10
0.000838002 6.56607e+10
0.000844949 6.49487e+10
0.000851929 6.40182e+10
0.000858954 6.34075e+10
0.000865919 6.25522e+10
0.000873072 6.13261e+10
0.000880195 6.09378e+10
0.000887393 5.94275e+10
0.000894783 5.9121e+10
0.000902097 5.85974e+10
0.00090951 5.81466e+10
0.000916929 5.7563e+10
0.000924423 5.72894e+10
0.00093206 5.71603e+10
0.000939669 5.65816e+10
0.000947384 5.57569e+10
0.000955222 5.51385e+10
0.000963012 5.42377e+10
0.00097096 5.36701e+10
0.000978975 5.35079e+10
0.000986946 5.26934e+10
0.000995044 5.2224e+10
0.00100317 5.15677e+10
0.00101134 5.12702e+10
0.00101966 5.04997e+10
0.00102811 5.03912e+10
0.0010366 4.9018e+10
0.00104515 4.91114e+10
0.00105367 4.88514e+10
0.0010623 4.79357e+10
0.00107099 4.71899e+10
0.00107984 4.70109e+10
0.00108877 4.65651e+10
0.00109754 4.61836e+10
0.00110658 4.59918e+10
0.00111585 4.47825e+10
0.001125 4.48714e+10
0.00113422 4.43848e+10
0.00114355 4.44612e+10
0.00115284 4.34605e+10
0.0011623 4.30027e+10
0.00117183 4.21694e+10
0.00118147 4.19939e+10
0.00119124 4.15192e+10
0.00120099 4.12656e+10
0.00121082 4.08647e+10
0.00122077 4.07247e+10
0.00123083 4.02182e+10
0.00124092 3.97239e+10
0.00125109 3.95358e+10
0.00126141 3.88797e+10
0.00127177 3.85947e+10
0.00128216 3.81023e+10
0.00129272 3.80361e+10
0.00130337 3.72423e+10
0.00131407 3.71197e+10
0.00132486 3.67416e+10
0.00133574 3.62868e+10
0.00134668 3.59474e+10
0.0013577 3.56973e+10
0.0013688 3.53946e+10
0.00138009 3.48037e+10
0.00139144 3.48832e+10
0.00140285 3.43018e+10
0.00141438 3.40881e+10
0.0014259 3.38756e+10
0.00143763 3.35464e+10
0.00144946 3.28558e+10
0.00146138 3.2899e+10
0.00147343 3.24171e+10
0.00148553 3.2045e+10
0.00149773 3.17674e+10
0.00150998 3.15013e+10
0.00152238 3.13495e+10
0.00153493 3.09957e+10
0.00154754 3.07028e+10
0.0015602 3.03543e+10
0.00157297 3.00169e+10
0.00158593 2.97536e+10
0.00159901 2.94045e+10
0.00161212 2.91883e+10
0.00162533 2.89241e+10
0.00163867 2.85216e+10
0.00165213 2.84979e+10
0.00166568 2.80258e+10
0.00167936 2.78632e+10
0.00169314 2.76641e+10
0.00170706 2.72173e+10
0.00172108 2.70804e+10
0.00173519 2.69137e+10
0.00174947 2.66455e+10
0.00176388 2.63726e+10
0.00177833 2.62048e+10
0.00179289 2.59717e+10
0.00180762 2.56895e+10
0.0018225 2.52508e+10
0.00183749 2.52138e+10
0.00185259 2.49195e+10
0.00186776 2.47484e+10
0.00188308 2.44134e+10
0.00189858 2.42097e+10
0.00191415 2.39914e+10
0.00192986 2.38187e+10
0.00194568 2.35019e+10
0.00196164 2.31857e+10
0.00197781 2.30728e+10
0.00199407 2.28287e+10
0.00201041 2.25774e+10
0.0020269 2.23821e+10
0.00204357 2.21474e+10
0.00206031 2.20258e+10
0.00207723 2.17507e+10
0.00209433 2.15643e+10
0.00211151 2.13057e+10
0.00212883 2.11669e+10
0.00214631 2.09036e+10
0.00216395 2.07694e+10
0.00218171 2.05422e+10
0.00219964 2.0374e+10
0.0022177 2.01272e+10
0.00223591 1.9971e+10
0.00225426 1.97679e+10
0.00227273 1.95586e+10
0.00229144 1.93914e+10
0.00231024 1.91858e+10
0.00232919 1.89779e+10
0.00234835 1.87716e+10
0.00236765 1.86449e+10
0.00238708 1.84623e+10
0.00240668 1.82204e+10
0.00242645 1.8102e+10
0.00244635 1.79465e+10
0.00246642 1.77875e+10
0.00248668 1.75404e+10
0.00250712 1.73377e+10
0.0025277 1.72082e+10
0.00254846 1.69853e+10
0.00256938 1.6824e+10
0.00259045 1.6663e+10
0.00261172 1.65299e+10
0.00263319 1.62903e+10
0.00265482 1.61671e+10
0.0026766 1.59887e+10
0.00269857 1.58073e+10
0.00272074 1.56133e+10
0.00274311 1.54652e+10
0.00276562 1.53323e+10
0.00278831 1.51566e+10
0.00281122 1.49946e+10
0.00283428 1.48393e+10
0.00285753 1.46728e+10
0.00288102 1.45378e+10
0.00290469 1.43638e+10
0.00292852 1.42235e+10
0.00295255 1.40737e+10
0.00297682 1.38743e+10
0.00300132 1.37528e+10
0.00302595 1.36287e+10
0.00305077 1.34543e+10
0.00307582 1.33359e+10
0.00310109 1.31496e+10
0.00312652 1.30216e+10
0.00315219 1.2876e+10
0.00317808 1.27287e+10
0.00320418 1.25957e+10
0.00323049 1.24582e+10
0.003257 1.22948e+10
0.00328375 1.2155e+10
0.00331073 1.20213e+10
0.00333793 1.18939e+10
0.00336532 1.17144e+10
0.00339295 1.16089e+10
0.00342081 1.14702e+10
0.0034489 1.13298e+10
0.00347724 1.1191e+10
0.00350579 1.10526e+10
0.00353457 1.0937e+10
0.00356356 1.08042e+10
0.0035928 1.0691e+10
0.0036223 1.05406e+10
0.00365206 1.04338e+10
0.00368208 1.03073e+10
0.00371232 1.01735e+10
0.0037428 1.00701e+10
0.00377353 9.93032e+09
0.00380451 9.81779e+09
0.00383574 9.68889e+09
0.00386724 9.57383e+09
0.00389899 9.44704e+09
0.003931 9.3338e+09
0.0039633 9.2254e+09
0.00399584 9.10978e+09
0.00402865 8.99198e+09
0.00406173 8.8853e+09
0.00409507 8.76495e+09
0.00412871 8.6539e+09
0.00416262 8.54161e+09
0.0041968 8.43244e+09
0.00423127 8.33547e+09
0.004266 8.21877e+09
0.00430101 8.10278e+09
0.00433633 8.01677e+09
0.00437195 7.89916e+09
0.00440786 7.80144e+09
0.00444405 7.70183e+09
0.00448053 7.59467e+09
0.00451731 7.49559e+09
0.0045544 7.40132e+09
0.00459181 7.29335e+09
0.00462953 7.20635e+09
0.00466752 7.10668e+09
0.00470583 7.01364e+09
0.00474448 6.91907e+09
0.00478347 6.82853e+09
0.00482275 6.72828e+09
0.00486234 6.63838e+09
0.00490225 6.54662e+09
0.0049425 6.45916e+09
0.0049831 6.36555e+09
0.00502401 6.28157e+09
0.00506526 6.19333e+09
0.00510687 6.11346e+09
0.00514879 6.02621e+09
0.00519107 5.93836e+09
0.0052337 5.85547e+09
0.00527667 5.77288e+09
0.00532001 5.69804e+09
0.00536367 5.61738e+09
0.00540771 5.53776e+09
0.00545214 5.46292e+09
0.0054969 5.38274e+09
0.00554203 5.30411e+09
0.00558753 5.23151e+09
0.00563342 5.15887e+09
0.00567967 5.08273e+09
0.00572631 5.01228e+09
0.00577334 4.93787e+09
0.00582073 4.86319e+09
0.00586853 4.79765e+09
0.00591672 4.72655e+09
0.0059653 4.6601e+09
0.00601426 4.59509e+09
0.00606365 4.5268e+09
0.00611346 4.46371e+09
0.00616366 4.39774e+09
0.00621427 4.33337e+09
0.00626529 4.27051e+09
0.00631673 4.2094e+09
0.00636859 4.14742e+09
0.00642088 4.08494e+09
0.00647362 4.02748e+09
0.00652677 3.96827e+09
0.00658036 3.90819e+09
0.0066344 3.85153e+09
0.00668886 3.79258e+09
0.00674379 3.73728e+09
0.00679918 3.68098e+09
0.00685501 3.62591e+09
0.00691131 3.57219e+09
0.00696806 3.52049e+09
0.00702526 3.46974e+09
0.00708294 3.41749e+09
0.00714111 3.3659e+09
0.00719973 3.31667e+09
0.00725885 3.26949e+09
0.00731846 3.21905e+09
0.00737856 3.1722e+09
0.00743915 3.12476e+09
0.00750022 3.07832e+09
0.0075618 3.03331e+09
0.0076239 2.98657e+09
0.00768649 2.94401e+09
0.00774961 2.89974e+09
0.00781325 2.85694e+09
0.00787742 2.81466e+09
0.0079421 2.77453e+09
0.0080073 2.73386e+09
0.00807306 2.69392e+09
0.00813935 2.65446e+09
0.00820618 2.61644e+09
0.00827356 2.5783e+09
0.0083415 2.54114e+09
0.00840998 2.50544e+09
0.00847904 2.46892e+09
0.00854867 2.43616e+09
0.00861886 2.40109e+09
0.00868963 2.36737e+09
0.00876099 2.33759e+09
0.00883292 2.3055e+09
0.00890544 2.27312e+09
0.00897858 2.24383e+09
0.00905231 2.21489e+09
0.00912663 2.18591e+09
0.00920156 2.15792e+09
0.00927713 2.1309e+09
0.0093533 2.10519e+09
0.0094301 2.0802e+09
0.00950753 2.05721e+09
0.0095856 2.03341e+09
0.00966431 2.01136e+09
0.00974367 1.99039e+09
0.00982367 1.97045e+09
0.00990433 1.95108e+09
0.00998566 1.93337e+09
0.0100677 1.91765e+09
0.0101503 1.90132e+09
0.0102337 1.88877e+09
0.0103177 1.87524e+09
0.0104024 1.86408e+09
0.0104878 1.85562e+09
0.010574 1.84787e+09
0.0106608 1.84209e+09
0.0107483 1.83749e+09
0.0108366 1.8357e+09
0.0109256 1.83564e+09
0.0110152 1.83764e+09
0.0111055 1.82544e+09
0.0111967 1.80314e+09
0.0112886 1.78302e+09
0.0113813 1.76257e+09
0.0114748 1.74304e+09
0.011569 1.72384e+09
0.011664 1.70567e+09
0.0117598 1.6891e+09
0.0118563 1.67215e+09
0.0119537 1.6557e+09
0.0120518 1.64018e+09
0.0121508 1.62568e+09
0.0122505 1.61164e+09
0.0123511 1.59802e+09
0.0124525 1.58552e+09
0.0125548 1.57428e+09
0.0126579 1.5635e+09
0.0127618 1.55387e+09
0.0128666 1.54476e+09
0.0129722 1.53673e+09
0.0130787 1.53044e+09
0.0131861 1.5245e+09
0.0132944 1.51933e+09
0.0134035 1.51636e+09
0.0135136 1.5139e+09
0.0136245 1.51292e+09
0.0137363 1.51328e+09
0.0138491 1.51501e+09
0.0139628 1.51859e+09
0.0140774 1.52391e+09
0.014193 1.53034e+09
0.0143095 1.54005e+09
0.014427 1.55101e+09
0.0145454 1.5633e+09
0.0146648 1.57624e+09
0.0147852 1.59225e+09
0.0149065 1.60813e+09
0.0150288 1.62321e+09
0.0151522 1.63928e+09
0.0152765 1.65023e+09
0.0154018 1.65691e+09
0.0155281 1.65127e+09
0.0156556 1.63314e+09
0.0157843 1.62303e+09
0.0159139 1.62529e+09
0.0160445 1.63072e+09
0.0161763 1.63976e+09
0.0163091 1.6532e+09
0.0164429 1.67118e+09
0.0165779 1.6952e+09
0.0167139 1.72313e+09
0.0168511 1.75561e+09
0.0169894 1.79509e+09
0.0171288 1.84074e+09
0.0172693 1.89265e+09
0.0174109 1.95579e+09
0.0175537 2.02721e+09
0.0176976 2.10987e+09
0.0178426 2.20595e+09
0.0179887 2.32149e+09
0.018136 2.45573e+09
0.0182842 2.61102e+09
0.0184332 2.77845e+09
0.0185832 2.99009e+09
0.0187336 3.22787e+09
0.0188802 3.49649e+09
0.0190113 3.77091e+09
0.0191299 1.39836e+10