# k P_nu(k)
# a = 0.704299
# nbins = 695
1.22718e-05 1.59482e+13
1.7355e-05 1.68631e+13
2.12555e-05 1.64018e+13
2.45437e-05 1.49545e+13
2.74407e-05 1.38696e+13
3.00598e-05 1.30733e+13
3.471e-05 1.24348e+13
3.68155e-05 1.07801e+13
3.8807e-05 9.36282e+12
4.07011e-05 9.85242e+12
4.25109e-05 8.9885e+12
4.42468e-05 9.27914e+12
4.5917e-05 8.12931e+12
4.90874e-05 9.12742e+12
5.05981e-05 8.26041e+12
5.2065e-05 8.86866e+12
5.34917e-05 7.46424e+12
5.48814e-05 7.76938e+12
5.62367e-05 7.82627e+12
5.75601e-05 8.50879e+12
6.01195e-05 6.82996e+12
6.13592e-05 7.47909e+12
6.25744e-05 6.86443e+12
6.37664e-05 6.84645e+12
6.60859e-05 6.90615e+12
6.72157e-05 6.7072e+12
6.942e-05 7.91072e+12
7.04964e-05 6.7467e+12
7.15565e-05 5.48927e+12
7.26012e-05 6.81642e+12
7.36311e-05 6.25026e+12
7.46467e-05 4.83892e+12
7.56487e-05 6.17441e+12
7.7614e-05 4.94031e+12
7.85782e-05 5.56817e+12
7.95307e-05 4.89544e+12
8.04719e-05 4.26078e+12
8.14022e-05 5.13647e+12
8.2322e-05 4.24501e+12
8.32317e-05 4.68718e+12
8.50218e-05 4.25111e+12
8.59029e-05 4.68729e+12
8.67751e-05 4.42199e+12
8.76385e-05 4.05944e+12
8.84935e-05 5.78094e+12
8.93404e-05 4.86658e+12
9.01793e-05 4.3297e+12
9.18341e-05 4.68616e+12
9.26504e-05 3.65629e+12
9.34596e-05 4.26162e+12
9.42618e-05 3.6267e+12
9.58462e-05 3.71451e+12
9.66286e-05 3.56499e+12
9.81748e-05 3.62658e+12
9.89388e-05 3.93461e+12
9.9697e-05 3.53725e+12
0.000100947 2.92062e+12
0.000101938 3.9233e+12
0.000102674 3.72295e+12
0.00010413 3.95197e+12
0.000104851 3.77952e+12
0.000105793 3.33271e+12
0.000106983 3.08106e+12
0.000107685 3.72139e+12
0.000108382 3.90591e+12
0.000109763 2.89038e+12
0.000110447 3.46465e+12
0.000111126 2.84435e+12
0.00011207 3.31495e+12
0.000113141 2.79119e+12
0.000113804 3.36358e+12
0.00011512 2.83127e+12
0.000115772 3.21072e+12
0.000116605 3.10044e+12
0.000118768 3.05885e+12
0.000120655 3.38315e+12
0.000121732 2.91001e+12
0.000122718 3.08183e+12
0.000123466 2.97998e+12
0.000125149 2.47237e+12
0.000125749 3.08452e+12
0.000126644 2.99386e+12
0.000127941 2.8334e+12
0.000128708 3.36771e+12
0.000130739 2.45921e+12
0.000131943 2.70826e+12
0.000132953 3.05737e+12
0.000134431 2.84437e+12
0.000135328 2.81097e+12
0.000136101 2.19975e+12
0.000137477 2.421e+12
0.00013884 1.71825e+12
0.000139516 2.65261e+12
0.000140611 2.51907e+12
0.000141939 2.42837e+12
0.000143463 2.03533e+12
0.000144385 2.55066e+12
0.000145548 2.25772e+12
0.000146631 2.01472e+12
0.000148112 2.29134e+12
0.00014952 2.1321e+12
0.000150299 2.05393e+12
0.000151832 1.86103e+12
0.000152783 2.18235e+12
0.000154045 2.24269e+12
0.000155658 1.85733e+12
0.00015665 2.00923e+12
0.0001579 1.76357e+12
0.000159354 1.98051e+12
0.000160279 2.1917e+12
0.000161626 1.93124e+12
0.000163463 2.05693e+12
0.000164644 2.01684e+12
0.000165783 1.84663e+12
0.000167197 1.95039e+12
0.000168799 1.85798e+12
0.000170423 2.07882e+12
0.000171157 1.77602e+12
0.000172744 1.70321e+12
0.000174349 1.69007e+12
0.00017592 1.67102e+12
0.000177497 1.61227e+12
0.000178723 1.7418e+12
0.000180282 1.74826e+12
0.000181376 1.75078e+12
0.000182743 1.56728e+12
0.000184551 1.67822e+12
0.000185977 1.66003e+12
0.000187589 1.57828e+12
0.000188953 1.53615e+12
0.000190863 1.63409e+12
0.000192158 1.5911e+12
0.000193916 1.62345e+12
0.000195504 1.51483e+12
0.000197181 1.63071e+12
0.000198613 1.41271e+12
0.000200148 1.44978e+12
0.000201721 1.37667e+12
0.000203587 1.50916e+12
0.00020541 1.3719e+12
0.000207172 1.38655e+12
0.000208922 1.5775e+12
0.000210371 1.46228e+12
0.000212078 1.35075e+12
0.000214191 1.23926e+12
0.000215596 1.37924e+12
0.00021743 1.17725e+12
0.000219259 1.26134e+12
0.000221084 1.20876e+12
0.00022283 1.12069e+12
0.000224493 1.18775e+12
0.000226376 1.16957e+12
0.000228421 1.13696e+12
0.000230288 1.19777e+12
0.000231928 1.07291e+12
0.00023399 1.09552e+12
0.000236053 1.00039e+12
0.000237805 1.11735e+12
0.000239779 1.0211e+12
0.000241744 1.10937e+12
0.000243673 9.86777e+11
0.000245757 1.04571e+12
0.000247871 1.04211e+12
0.00024984 1.0369e+12
0.000251597 1.01636e+12
0.000253565 1.02389e+12
0.000256 1.08797e+12
0.000258364 9.87921e+11
0.000260499 1.08263e+12
0.000262417 1.06201e+12
0.000264367 9.71657e+11
0.000266592 8.81767e+11
0.000268987 8.63239e+11
0.000271108 9.52426e+11
0.000273349 8.98379e+11
0.000275546 9.32035e+11
0.000277706 8.46092e+11
0.000280204 8.45228e+11
0.000282696 9.20689e+11
0.000284955 9.37203e+11
0.000287036 8.5131e+11
0.000289296 8.4233e+11
0.000291909 8.32641e+11
0.000294404 8.14963e+11
0.000296654 8.52058e+11
0.000299082 8.75753e+11
0.000301403 8.69242e+11
0.000303861 8.01887e+11
0.000306413 7.57796e+11
0.000308749 7.7562e+11
0.000311525 8.00506e+11
0.000313955 7.4255e+11
0.000316471 7.64322e+11
0.000319321 7.85093e+11
0.000322008 7.13732e+11
0.000324666 7.10787e+11
0.00032719 7.10447e+11
0.000329929 7.19865e+11
0.000332507 6.86555e+11
0.000335216 7.17814e+11
0.000337986 6.78801e+11
0.000340927 6.83578e+11
0.000343668 6.70932e+11
0.000346605 6.77914e+11
0.000349164 6.55689e+11
0.000352165 6.50797e+11
0.000355188 6.48134e+11
0.000358008 6.33691e+11
0.000361098 6.06775e+11
0.000363971 6.29579e+11
0.00036707 6.19202e+11
0.000369977 5.95956e+11
0.000373107 5.95303e+11
0.000376085 6.50522e+11
0.000379074 5.9227e+11
0.000382228 6.03893e+11
0.00038541 5.90975e+11
0.000388542 5.92358e+11
0.000391757 5.57399e+11
0.000394981 5.59622e+11
0.000398111 5.62663e+11
0.000401474 5.56837e+11
0.000404717 5.58977e+11
0.000407935 5.49593e+11
0.000411525 5.36339e+11
0.000414686 5.13081e+11
0.000418155 5.25353e+11
0.00042175 5.08e+11
0.000425291 5.05103e+11
0.000428636 5.00302e+11
0.000432208 4.81331e+11
0.0004357 4.97831e+11
0.000439332 4.9214e+11
0.000442787 4.86617e+11
0.000446449 4.97201e+11
0.000450291 4.69446e+11
0.000453801 4.8919e+11
0.000457447 4.68639e+11
0.000461323 4.66954e+11
0.000465014 4.57118e+11
0.000468866 4.53049e+11
0.000472806 4.60825e+11
0.00047678 4.52469e+11
0.000480624 4.45103e+11
0.000484555 4.46622e+11
0.000488474 4.51189e+11
0.000492396 4.26898e+11
0.000496538 4.28304e+11
0.000500678 4.2698e+11
0.000504761 4.25369e+11
0.000508767 4.01849e+11
0.000512959 4.08246e+11
0.000517253 3.99841e+11
0.000521544 4.01565e+11
0.000525774 3.98777e+11
0.000530168 3.95162e+11
0.000534431 3.99488e+11
0.00053878 3.94008e+11
0.000543223 3.88491e+11
0.000547788 3.88164e+11
0.000552163 3.78607e+11
0.000556755 3.70832e+11
0.000561463 3.78148e+11
0.000566064 3.62672e+11
0.000570587 3.62573e+11
0.000575277 3.56044e+11
0.000580056 3.62243e+11
0.000584753 3.5247e+11
0.000589576 3.50911e+11
0.000594327 3.57213e+11
0.000599226 3.55443e+11
0.000604166 3.3969e+11
0.000609275 3.41279e+11
0.000614265 3.32155e+11
0.000619191 3.35453e+11
0.000624415 3.34018e+11
0.000629458 3.26309e+11
0.00063466 3.33954e+11
0.00063975 3.19764e+11
0.00064489 3.14619e+11
0.000650271 3.23128e+11
0.000655619 3.17839e+11
0.000661178 3.0749e+11
0.000666601 3.04758e+11
0.00067198 3.09781e+11
0.000677465 3.0284e+11
0.000682952 2.96797e+11
0.000688602 2.97827e+11
0.000694365 2.92301e+11
0.000699968 2.90195e+11
0.00070566 2.90115e+11
0.000711633 2.89049e+11
0.000717351 2.88026e+11
0.000723301 2.85217e+11
0.000729237 2.73576e+11
0.00073526 2.72672e+11
0.000741287 2.74156e+11
0.000747431 2.71373e+11
0.000753573 2.72087e+11
0.000759705 2.69583e+11
0.000765936 2.66587e+11
0.000772341 2.6444e+11
0.000778615 2.6386e+11
0.000785031 2.5952e+11
0.000791493 2.58721e+11
0.000797999 2.52479e+11
0.000804499 2.56122e+11
0.000811074 2.5365e+11
0.000817707 2.50869e+11
0.000824546 2.48334e+11
0.000831271 2.46877e+11
0.000838002 2.43245e+11
0.000844949 2.36619e+11
0.000851929 2.40862e+11
0.000858954 2.36082e+11
0.000865919 2.36292e+11
0.000873072 2.35271e+11
0.000880195 2.35366e+11
0.000887393 2.28326e+11
0.000894783 2.262e+11
0.000902097 2.26478e+11
0.00090951 2.20716e+11
0.000916929 2.24518e+11
0.000924423 2.21381e+11
0.00093206 2.2019e+11
0.000939669 2.17455e+11
0.000947384 2.14598e+11
0.000955222 2.12688e+11
0.000963012 2.13954e+11
0.00097096 2.11454e+11
0.000978975 2.08083e+11
0.000986946 2.0734e+11
0.000995044 2.05328e+11
0.00100317 2.04358e+11
0.00101134 2.00587e+11
0.00101966 2.00711e+11
0.00102811 1.98517e+11
0.0010366 1.96052e+11
0.00104515 1.96069e+11
0.00105367 1.92197e+11
0.0010623 1.92299e+11
0.00107099 1.90664e+11
0.00107984 1.89091e+11
0.00108877 1.86984e+11
0.00109754 1.85337e+11
0.00110658 1.84107e+11
0.00111585 1.81825e+11
0.001125 1.82025e+11
0.00113422 1.78845e+11
0.00114355 1.79319e+11
0.00115284 1.76937e+11
0.0011623 1.75866e+11
0.00117183 1.73764e+11
0.00118147 1.72451e+11
0.00119124 1.71447e+11
0.00120099 1.69254e+11
0.00121082 1.66981e+11
0.00122077 1.66912e+11
0.00123083 1.65527e+11
0.00124092 1.63936e+11
0.00125109 1.6183e+11
0.00126141 1.60483e+11
0.00127177 1.59995e+11
0.00128216 1.58775e+11
0.00129272 1.55953e+11
0.00130337 1.5637e+11
0.00131407 1.54394e+11
0.00132486 1.52199e+11
0.00133574 1.52362e+11
0.00134668 1.49654e+11
0.0013577 1.48053e+11
0.0013688 1.47751e+11
0.00138009 1.47268e+11
0.00139144 1.45012e+11
0.00140285 1.43975e+11
0.00141438 1.41652e+11
0.0014259 1.40143e+11
0.00143763 1.3939e+11
0.00144946 1.39466e+11
0.00146138 1.37456e+11
0.00147343 1.36021e+11
0.00148553 1.34327e+11
0.00149773 1.33271e+11
0.00150998 1.32294e+11
0.00152238 1.30691e+11
0.00153493 1.29333e+11
0.00154754 1.28432e+11
0.0015602 1.27299e+11
0.00157297 1.26266e+11
0.00158593 1.24018e+11
0.00159901 1.23558e+11
0.00161212 1.22686e+11
0.00162533 1.21856e+11
0.00163867 1.20211e+11
0.00165213 1.18533e+11
0.00166568 1.18132e+11
0.00167936 1.16776e+11
0.00169314 1.15172e+11
0.00170706 1.13788e+11
0.00172108 1.13031e+11
0.00173519 1.1172e+11
0.00174947 1.10715e+11
0.00176388 1.09894e+11
0.00177833 1.08386e+11
0.00179289 1.07397e+11
0.00180762 1.06805e+11
0.0018225 1.05348e+11
0.00183749 1.0378e+11
0.00185259 1.02845e+11
0.00186776 1.01618e+11
0.00188308 1.01096e+11
0.00189858 9.99491e+10
0.00191415 9.93856e+10
0.00192986 9.77425e+10
0.00194568 9.69174e+10
0.00196164 9.58117e+10
0.00197781 9.45987e+10
0.00199407 9.35845e+10
0.00201041 9.26668e+10
0.0020269 9.16357e+10
0.00204357 9.0901e+10
0.00206031 8.97177e+10
0.00207723 8.87822e+10
0.00209433 8.79466e+10
0.00211151 8.68035e+10
0.00212883 8.53621e+10
0.00214631 8.46231e+10
0.00216395 8.36924e+10
0.00218171 8.27164e+10
0.00219964 8.17854e+10
0.0022177 8.07943e+10
0.00223591 8.00147e+10
0.00225426 7.88769e+10
0.00227273 7.81039e+10
0.00229144 7.72117e+10
0.00231024 7.63011e+10
0.00232919 7.53671e+10
0.00234835 7.44012e+10
0.00236765 7.36314e+10
0.00238708 7.27239e+10
0.00240668 7.16769e+10
0.00242645 7.09165e+10
0.00244635 7.01475e+10
0.00246642 6.9278e+10
0.00248668 6.87423e+10
0.00250712 6.75767e+10
0.0025277 6.68505e+10
0.00254846 6.59443e+10
0.00256938 6.52586e+10
0.00259045 6.44523e+10
0.00261172 6.35615e+10
0.00263319 6.27839e+10
0.00265482 6.20033e+10
0.0026766 6.13951e+10
0.00269857 6.04435e+10
0.00272074 5.96245e+10
0.00274311 5.88888e+10
0.00276562 5.80982e+10
0.00278831 5.74645e+10
0.00281122 5.67436e+10
0.00283428 5.59952e+10
0.00285753 5.50735e+10
0.00288102 5.45139e+10
0.00290469 5.37775e+10
0.00292852 5.30841e+10
0.00295255 5.23774e+10
0.00297682 5.17798e+10
0.00300132 5.09965e+10
0.00302595 5.03938e+10
0.00305077 4.96037e+10
0.00307582 4.89568e+10
0.00310109 4.82982e+10
0.00312652 4.76797e+10
0.00315219 4.70304e+10
0.00317808 4.64021e+10
0.00320418 4.56411e+10
0.00323049 4.51104e+10
0.003257 4.44674e+10
0.00328375 4.39153e+10
0.00331073 4.33342e+10
0.00333793 4.27212e+10
0.00336532 4.20473e+10
0.00339295 4.14703e+10
0.00342081 4.09397e+10
0.0034489 4.03659e+10
0.00347724 3.98305e+10
0.00350579 3.93542e+10
0.00353457 3.87168e+10
0.00356356 3.81764e+10
0.0035928 3.76711e+10
0.0036223 3.71119e+10
0.00365206 3.6577e+10
0.00368208 3.6077e+10
0.00371232 3.55249e+10
0.0037428 3.50408e+10
0.00377353 3.45233e+10
0.00380451 3.40018e+10
0.00383574 3.35463e+10
0.00386724 3.3038e+10
0.00389899 3.25907e+10
0.003931 3.20766e+10
0.0039633 3.1677e+10
0.00399584 3.12204e+10
0.00402865 3.07349e+10
0.00406173 3.02808e+10
0.00409507 2.98546e+10
0.00412871 2.94046e+10
0.00416262 2.90153e+10
0.0041968 2.85628e+10
0.00423127 2.81177e+10
0.004266 2.77179e+10
0.00430101 2.73137e+10
0.00433633 2.69006e+10
0.00437195 2.6529e+10
0.00440786 2.60839e+10
0.00444405 2.56907e+10
0.00448053 2.53434e+10
0.00451731 2.49612e+10
0.0045544 2.45804e+10
0.00459181 2.42382e+10
0.00462953 2.38596e+10
0.00466752 2.35157e+10
0.00470583 2.31757e+10
0.00474448 2.28112e+10
0.00478347 2.24969e+10
0.00482275 2.21124e+10
0.00486234 2.17929e+10
0.00490225 2.14893e+10
0.0049425 2.11491e+10
0.0049831 2.08258e+10
0.00502401 2.04782e+10
0.00506526 2.02095e+10
0.00510687 1.98984e+10
0.00514879 1.95793e+10
0.00519107 1.92973e+10
0.0052337 1.89867e+10
0.00527667 1.87258e+10
0.00532001 1.84132e+10
0.00536367 1.81542e+10
0.00540771 1.78579e+10
0.00545214 1.75824e+10
0.0054969 1.7319e+10
0.00554203 1.70311e+10
0.00558753 1.67757e+10
0.00563342 1.65261e+10
0.00567967 1.62526e+10
0.00572631 1.60164e+10
0.00577334 1.57646e+10
0.00582073 1.55133e+10
0.00586853 1.52763e+10
0.00591672 1.50466e+10
0.0059653 1.4802e+10
0.00601426 1.45763e+10
0.00606365 1.43543e+10
0.00611346 1.41478e+10
0.00616366 1.39143e+10
0.00621427 1.37028e+10
0.00626529 1.34891e+10
0.00631673 1.32687e+10
0.00636859 1.30687e+10
0.00642088 1.28674e+10
0.00647362 1.26599e+10
0.00652677 1.24632e+10
0.00658036 1.22695e+10
0.0066344 1.20749e+10
0.00668886 1.18876e+10
0.00674379 1.16967e+10
0.00679918 1.15147e+10
0.00685501 1.13337e+10
0.00691131 1.11576e+10
0.00696806 1.09799e+10
0.00702526 1.08138e+10
0.00708294 1.06415e+10
0.00714111 1.04754e+10
0.00719973 1.03159e+10
0.00725885 1.01548e+10
0.00731846 9.99104e+09
0.00737856 9.83649e+09
0.00743915 9.68248e+09
0.00750022 9.52697e+09
0.0075618 9.37995e+09
0.0076239 9.23859e+09
0.00768649 9.0912e+09
0.00774961 8.95285e+09
0.00781325 8.80783e+09
0.00787742 8.67761e+09
0.0079421 8.53996e+09
0.0080073 8.41077e+09
0.00807306 8.27551e+09
0.00813935 8.15434e+09
0.00820618 8.03101e+09
0.00827356 7.90983e+09
0.0083415 7.78873e+09
0.00840998 7.67243e+09
0.00847904 7.55578e+09
0.00854867 7.44143e+09
0.00861886 7.33415e+09
0.00868963 7.22081e+09
0.00876099 7.11602e+09
0.00883292 7.01765e+09
0.00890544 6.91591e+09
0.00897858 6.81674e+09
0.00905231 6.72345e+09
0.00912663 6.63203e+09
0.00920156 6.54118e+09
0.00927713 6.45267e+09
0.0093533 6.37157e+09
0.0094301 6.28828e+09
0.00950753 6.21175e+09
0.0095856 6.13495e+09
0.00966431 6.06291e+09
0.00974367 5.99398e+09
0.00982367 5.92915e+09
0.00990433 5.86768e+09
0.00998566 5.80611e+09
0.0100677 5.75115e+09
0.0101503 5.69949e+09
0.0102337 5.65318e+09
0.0103177 5.6091e+09
0.0104024 5.57004e+09
0.0104878 5.53845e+09
0.010574 5.50732e+09
0.0106608 5.48551e+09
0.0107483 5.46939e+09
0.0108366 5.45724e+09
0.0109256 5.45264e+09
0.0110152 5.45445e+09
0.0111055 5.41412e+09
0.0111967 5.34501e+09
0.0112886 5.27982e+09
0.0113813 5.21469e+09
0.0114748 5.15343e+09
0.011569 5.09365e+09
0.011664 5.03335e+09
0.0117598 4.97582e+09
0.0118563 4.92201e+09
0.0119537 4.86857e+09
0.0120518 4.81682e+09
0.0121508 4.76835e+09
0.0122505 4.72101e+09
0.0123511 4.67534e+09
0.0124525 4.63398e+09
0.0125548 4.59308e+09
0.0126579 4.55496e+09
0.0127618 4.51952e+09
0.0128666 4.48616e+09
0.0129722 4.45494e+09
0.0130787 4.4269e+09
0.0131861 4.40276e+09
0.0132944 4.38324e+09
0.0134035 4.36426e+09
0.0135136 4.35044e+09
0.0136245 4.34051e+09
0.0137363 4.33416e+09
0.0138491 4.33214e+09
0.0139628 4.33541e+09
0.0140774 4.34388e+09
0.014193 4.35542e+09
0.0143095 4.37011e+09
0.014427 4.39547e+09
0.0145454 4.42185e+09
0.0146648 4.45297e+09
0.0147852 4.48726e+09
0.0149065 4.52826e+09
0.0150288 4.56173e+09
0.0151522 4.59749e+09
0.0152765 4.62409e+09
0.0154018 4.63461e+09
0.0155281 4.61186e+09
0.0156556 4.54997e+09
0.0157843 4.51736e+09
0.0159139 4.50856e+09
0.0160445 4.51173e+09
0.0161763 4.528e+09
0.0163091 4.55972e+09
0.0164429 4.59564e+09
0.0165779 4.65272e+09
0.0167139 4.71328e+09
0.0168511 4.79107e+09
0.0169894 4.88722e+09
0.0171288 5.00208e+09
0.0172693 5.13228e+09
0.0174109 5.29367e+09
0.0175537 5.47958e+09
0.0176976 5.70097e+09
0.0178426 5.94919e+09
0.0179887 6.24644e+09
0.018136 6.57669e+09
0.0182842 6.96326e+09
0.0184332 7.44136e+09
0.0185832 7.96763e+09
0.0187336 8.55074e+09
0.0188802 9.23737e+09
0.0190113 9.7734e+09
0.0191299 4.22228e+10