# k P_nu(k)
# a = 0.403777
# nbins = 695
1.22718e-05 6.38862e+12
1.7355e-05 6.75549e+12
2.12555e-05 6.57484e+12
2.45437e-05 6.09193e+12
2.74407e-05 5.68082e+12
3.00598e-05 5.35213e+12
3.471e-05 4.96988e+12
3.68155e-05 4.45507e+12
3.8807e-05 3.99809e+12
4.07011e-05 4.0675e+12
4.25109e-05 3.79095e+12
4.42468e-05 3.81411e+12
4.5917e-05 3.45489e+12
4.90874e-05 3.65689e+12
5.05981e-05 3.41116e+12
5.2065e-05 3.53892e+12
5.34917e-05 3.15035e+12
5.48814e-05 3.20671e+12
5.62367e-05 3.20839e+12
5.75601e-05 3.36221e+12
6.01195e-05 2.89961e+12
6.13592e-05 3.03995e+12
6.25744e-05 2.88307e+12
6.37664e-05 2.84625e+12
6.60859e-05 2.84661e+12
6.72157e-05 2.77499e+12
6.942e-05 3.06267e+12
7.04964e-05 2.74726e+12
7.15565e-05 2.40667e+12
7.26012e-05 2.73591e+12
7.36311e-05 2.54415e+12
7.46467e-05 2.19548e+12
7.56487e-05 2.53928e+12
7.7614e-05 2.16136e+12
7.85782e-05 2.32169e+12
7.95307e-05 2.11072e+12
8.04719e-05 1.91743e+12
8.14022e-05 2.127e+12
8.2322e-05 1.91413e+12
8.32317e-05 2.00544e+12
8.50218e-05 1.93484e+12
8.59029e-05 1.94595e+12
8.67751e-05 1.87104e+12
8.76385e-05 1.76025e+12
8.84935e-05 2.21366e+12
8.93404e-05 1.95834e+12
9.01793e-05 1.78807e+12
9.18341e-05 1.86578e+12
9.26504e-05 1.58053e+12
9.34596e-05 1.69919e+12
9.42618e-05 1.54617e+12
9.58462e-05 1.56325e+12
9.66286e-05 1.53387e+12
9.81748e-05 1.56686e+12
9.89388e-05 1.58658e+12
9.9697e-05 1.48131e+12
0.000100947 1.33324e+12
0.000101938 1.55345e+12
0.000102674 1.50441e+12
0.00010413 1.54762e+12
0.000104851 1.49128e+12
0.000105793 1.38998e+12
0.000106983 1.34538e+12
0.000107685 1.47006e+12
0.000108382 1.53025e+12
0.000109763 1.20663e+12
0.000110447 1.41391e+12
0.000111126 1.21852e+12
0.00011207 1.33427e+12
0.000113141 1.19106e+12
0.000113804 1.37509e+12
0.00011512 1.22153e+12
0.000115772 1.31107e+12
0.000116605 1.26188e+12
0.000118768 1.26246e+12
0.000120655 1.3615e+12
0.000121732 1.20701e+12
0.000122718 1.19601e+12
0.000123466 1.20872e+12
0.000125149 1.09403e+12
0.000125749 1.25628e+12
0.000126644 1.21978e+12
0.000127941 1.15483e+12
0.000128708 1.318e+12
0.000130739 1.05335e+12
0.000131943 1.12077e+12
0.000132953 1.1916e+12
0.000134431 1.13473e+12
0.000135328 1.16101e+12
0.000136101 9.59368e+11
0.000137477 1.02259e+12
0.00013884 7.93139e+11
0.000139516 1.06498e+12
0.000140611 1.01383e+12
0.000141939 9.64066e+11
0.000143463 8.5966e+11
0.000144385 1.03854e+12
0.000145548 9.28241e+11
0.000146631 8.27754e+11
0.000148112 9.38385e+11
0.00014952 8.67299e+11
0.000150299 8.81771e+11
0.000151832 7.74863e+11
0.000152783 8.97474e+11
0.000154045 8.92686e+11
0.000155658 7.75224e+11
0.00015665 8.09731e+11
0.0001579 7.2812e+11
0.000159354 7.83554e+11
0.000160279 8.37553e+11
0.000161626 7.55232e+11
0.000163463 8.062e+11
0.000164644 7.68276e+11
0.000165783 7.58506e+11
0.000167197 7.45956e+11
0.000168799 7.38556e+11
0.000170423 7.94655e+11
0.000171157 6.99244e+11
0.000172744 6.85456e+11
0.000174349 6.88022e+11
0.00017592 6.67219e+11
0.000177497 6.54662e+11
0.000178723 6.94675e+11
0.000180282 6.75499e+11
0.000181376 6.90093e+11
0.000182743 6.35413e+11
0.000184551 6.62804e+11
0.000185977 6.60602e+11
0.000187589 6.44012e+11
0.000188953 5.95211e+11
0.000190863 6.4188e+11
0.000192158 6.38102e+11
0.000193916 6.40855e+11
0.000195504 5.91e+11
0.000197181 6.30968e+11
0.000198613 5.65006e+11
0.000200148 5.49915e+11
0.000201721 5.44268e+11
0.000203587 5.72507e+11
0.00020541 5.41912e+11
0.000207172 5.25046e+11
0.000208922 5.73202e+11
0.000210371 5.34341e+11
0.000212078 5.17764e+11
0.000214191 4.96309e+11
0.000215596 5.31479e+11
0.00021743 4.63545e+11
0.000219259 4.66754e+11
0.000221084 4.57898e+11
0.00022283 4.40977e+11
0.000224493 4.61308e+11
0.000226376 4.28378e+11
0.000228421 4.39176e+11
0.000230288 4.58221e+11
0.000231928 4.15114e+11
0.00023399 4.16482e+11
0.000236053 3.89596e+11
0.000237805 4.27498e+11
0.000239779 3.90875e+11
0.000241744 4.27651e+11
0.000243673 3.86504e+11
0.000245757 4.05421e+11
0.000247871 3.97868e+11
0.00024984 3.90799e+11
0.000251597 3.91767e+11
0.000253565 3.86851e+11
0.000256 3.91871e+11
0.000258364 3.78354e+11
0.000260499 4.00945e+11
0.000262417 3.78364e+11
0.000264367 3.59041e+11
0.000266592 3.31548e+11
0.000268987 3.18162e+11
0.000271108 3.5302e+11
0.000273349 3.3225e+11
0.000275546 3.30458e+11
0.000277706 3.12272e+11
0.000280204 3.04846e+11
0.000282696 3.30278e+11
0.000284955 3.35218e+11
0.000287036 2.98285e+11
0.000289296 2.99195e+11
0.000291909 3.08136e+11
0.000294404 3.04991e+11
0.000296654 3.07408e+11
0.000299082 3.18005e+11
0.000301403 3.09984e+11
0.000303861 2.86685e+11
0.000306413 2.82603e+11
0.000308749 2.72553e+11
0.000311525 2.77746e+11
0.000313955 2.6307e+11
0.000316471 2.72353e+11
0.000319321 2.82068e+11
0.000322008 2.61821e+11
0.000324666 2.52223e+11
0.00032719 2.50718e+11
0.000329929 2.50924e+11
0.000332507 2.46363e+11
0.000335216 2.57508e+11
0.000337986 2.37849e+11
0.000340927 2.33916e+11
0.000343668 2.36499e+11
0.000346605 2.299e+11
0.000349164 2.31891e+11
0.000352165 2.21822e+11
0.000355188 2.23874e+11
0.000358008 2.22356e+11
0.000361098 2.09626e+11
0.000363971 2.17012e+11
0.00036707 2.02226e+11
0.000369977 2.0625e+11
0.000373107 2.05036e+11
0.000376085 2.14731e+11
0.000379074 2.05995e+11
0.000382228 2.03093e+11
0.00038541 1.96161e+11
0.000388542 1.93881e+11
0.000391757 1.92078e+11
0.000394981 1.87037e+11
0.000398111 1.80388e+11
0.000401474 1.79269e+11
0.000404717 1.79205e+11
0.000407935 1.78082e+11
0.000411525 1.80783e+11
0.000414686 1.7558e+11
0.000418155 1.73491e+11
0.00042175 1.68315e+11
0.000425291 1.66057e+11
0.000428636 1.64559e+11
0.000432208 1.58642e+11
0.0004357 1.6261e+11
0.000439332 1.59654e+11
0.000442787 1.56729e+11
0.000446449 1.57676e+11
0.000450291 1.52225e+11
0.000453801 1.57815e+11
0.000457447 1.50975e+11
0.000461323 1.47194e+11
0.000465014 1.47184e+11
0.000468866 1.43074e+11
0.000472806 1.42952e+11
0.00047678 1.39858e+11
0.000480624 1.40557e+11
0.000484555 1.38126e+11
0.000488474 1.39793e+11
0.000492396 1.32334e+11
0.000496538 1.32902e+11
0.000500678 1.3131e+11
0.000504761 1.30121e+11
0.000508767 1.27356e+11
0.000512959 1.29549e+11
0.000517253 1.22561e+11
0.000521544 1.20644e+11
0.000525774 1.22366e+11
0.000530168 1.20798e+11
0.000534431 1.17619e+11
0.00053878 1.19307e+11
0.000543223 1.16102e+11
0.000547788 1.16214e+11
0.000552163 1.14175e+11
0.000556755 1.07114e+11
0.000561463 1.10924e+11
0.000566064 1.06791e+11
0.000570587 1.05367e+11
0.000575277 1.04907e+11
0.000580056 1.05051e+11
0.000584753 1.04885e+11
0.000589576 1.03716e+11
0.000594327 1.01911e+11
0.000599226 1.02779e+11
0.000604166 9.96757e+10
0.000609275 9.67375e+10
0.000614265 9.74225e+10
0.000619191 9.52883e+10
0.000624415 9.52754e+10
0.000629458 9.2516e+10
0.00063466 9.34075e+10
0.00063975 9.22937e+10
0.00064489 8.96942e+10
0.000650271 8.99552e+10
0.000655619 8.86605e+10
0.000661178 8.61571e+10
0.000666601 8.45818e+10
0.00067198 8.30007e+10
0.000677465 8.42745e+10
0.000682952 8.20594e+10
0.000688602 8.21854e+10
0.000694365 8.02598e+10
0.000699968 8.06895e+10
0.00070566 7.99637e+10
0.000711633 8.01649e+10
0.000717351 7.70404e+10
0.000723301 7.67184e+10
0.000729237 7.52591e+10
0.00073526 7.49305e+10
0.000741287 7.4941e+10
0.000747431 7.39451e+10
0.000753573 7.29768e+10
0.000759705 7.2039e+10
0.000765936 7.10728e+10
0.000772341 7.11875e+10
0.000778615 6.95007e+10
0.000785031 6.74704e+10
0.000791493 6.81007e+10
0.000797999 6.69354e+10
0.000804499 6.52389e+10
0.000811074 6.60864e+10
0.000817707 6.39374e+10
0.000824546 6.39659e+10
0.000831271 6.36591e+10
0.000838002 6.32055e+10
0.000844949 6.24961e+10
0.000851929 6.15199e+10
0.000858954 6.09419e+10
0.000865919 6.0148e+10
0.000873072 5.89717e+10
0.000880195 5.85802e+10
0.000887393 5.71064e+10
0.000894783 5.68324e+10
0.000902097 5.63478e+10
0.00090951 5.58881e+10
0.000916929 5.52852e+10
0.000924423 5.50365e+10
0.00093206 5.48862e+10
0.000939669 5.42864e+10
0.000947384 5.3563e+10
0.000955222 5.29159e+10
0.000963012 5.20345e+10
0.00097096 5.15132e+10
0.000978975 5.13365e+10
0.000986946 5.05841e+10
0.000995044 5.01074e+10
0.00100317 4.9518e+10
0.00101134 4.91784e+10
0.00101966 4.84626e+10
0.00102811 4.83492e+10
0.0010366 4.70319e+10
0.00104515 4.71324e+10
0.00105367 4.68053e+10
0.0010623 4.59586e+10
0.00107099 4.52331e+10
0.00107984 4.50349e+10
0.00108877 4.46062e+10
0.00109754 4.42723e+10
0.00110658 4.4075e+10
0.00111585 4.28742e+10
0.001125 4.29314e+10
0.00113422 4.25233e+10
0.00114355 4.25774e+10
0.00115284 4.15741e+10
0.0011623 4.11558e+10
0.00117183 4.03575e+10
0.00118147 4.0207e+10
0.00119124 3.9714e+10
0.00120099 3.94974e+10
0.00121082 3.91133e+10
0.00122077 3.89925e+10
0.00123083 3.84484e+10
0.00124092 3.79572e+10
0.00125109 3.78133e+10
0.00126141 3.71714e+10
0.00127177 3.68919e+10
0.00128216 3.64205e+10
0.00129272 3.6384e+10
0.00130337 3.56008e+10
0.00131407 3.5506e+10
0.00132486 3.51407e+10
0.00133574 3.46905e+10
0.00134668 3.4301e+10
0.0013577 3.41439e+10
0.0013688 3.38098e+10
0.00138009 3.32467e+10
0.00139144 3.3336e+10
0.00140285 3.27607e+10
0.00141438 3.25667e+10
0.0014259 3.23493e+10
0.00143763 3.20147e+10
0.00144946 3.14042e+10
0.00146138 3.14075e+10
0.00147343 3.09394e+10
0.00148553 3.05911e+10
0.00149773 3.03316e+10
0.00150998 3.008e+10
0.00152238 2.98995e+10
0.00153493 2.95857e+10
0.00154754 2.93033e+10
0.0015602 2.89478e+10
0.00157297 2.86575e+10
0.00158593 2.83849e+10
0.00159901 2.80365e+10
0.00161212 2.78456e+10
0.00162533 2.75864e+10
0.00163867 2.72116e+10
0.00165213 2.71858e+10
0.00166568 2.67401e+10
0.00167936 2.65956e+10
0.00169314 2.63972e+10
0.00170706 2.59748e+10
0.00172108 2.58213e+10
0.00173519 2.568e+10
0.00174947 2.54228e+10
0.00176388 2.518e+10
0.00177833 2.49754e+10
0.00179289 2.4774e+10
0.00180762 2.4499e+10
0.0018225 2.40681e+10
0.00183749 2.40284e+10
0.00185259 2.37782e+10
0.00186776 2.3588e+10
0.00188308 2.32778e+10
0.00189858 2.30923e+10
0.00191415 2.28658e+10
0.00192986 2.27075e+10
0.00194568 2.24213e+10
0.00196164 2.21016e+10
0.00197781 2.20002e+10
0.00199407 2.17632e+10
0.00201041 2.15235e+10
0.0020269 2.13415e+10
0.00204357 2.11242e+10
0.00206031 2.09989e+10
0.00207723 2.07415e+10
0.00209433 2.05743e+10
0.00211151 2.03309e+10
0.00212883 2.01896e+10
0.00214631 1.99464e+10
0.00216395 1.98082e+10
0.00218171 1.95931e+10
0.00219964 1.94355e+10
0.0022177 1.91976e+10
0.00223591 1.90657e+10
0.00225426 1.88582e+10
0.00227273 1.86602e+10
0.00229144 1.84858e+10
0.00231024 1.83142e+10
0.00232919 1.8111e+10
0.00234835 1.79238e+10
0.00236765 1.77884e+10
0.00238708 1.76305e+10
0.00240668 1.73972e+10
0.00242645 1.7291e+10
0.00244635 1.71311e+10
0.00246642 1.69767e+10
0.00248668 1.67385e+10
0.00250712 1.65425e+10
0.0025277 1.64286e+10
0.00254846 1.62156e+10
0.00256938 1.60577e+10
0.00259045 1.59045e+10
0.00261172 1.57724e+10
0.00263319 1.55581e+10
0.00265482 1.54211e+10
0.0026766 1.52724e+10
0.00269857 1.5098e+10
0.00272074 1.49066e+10
0.00274311 1.47745e+10
0.00276562 1.46402e+10
0.00278831 1.44797e+10
0.00281122 1.43229e+10
0.00283428 1.41834e+10
0.00285753 1.40214e+10
0.00288102 1.3892e+10
0.00290469 1.37145e+10
0.00292852 1.35985e+10
0.00295255 1.34504e+10
0.00297682 1.32694e+10
0.00300132 1.31477e+10
0.00302595 1.30352e+10
0.00305077 1.28661e+10
0.00307582 1.27522e+10
0.00310109 1.25787e+10
0.00312652 1.24606e+10
0.00315219 1.23171e+10
0.00317808 1.21809e+10
0.00320418 1.20577e+10
0.00323049 1.1917e+10
0.003257 1.17659e+10
0.00328375 1.16316e+10
0.00331073 1.15098e+10
0.00333793 1.13826e+10
0.00336532 1.12149e+10
0.00339295 1.11159e+10
0.00342081 1.09837e+10
0.0034489 1.08493e+10
0.00347724 1.07172e+10
0.00350579 1.05878e+10
0.00353457 1.04827e+10
0.00356356 1.03586e+10
0.0035928 1.02485e+10
0.0036223 1.01031e+10
0.00365206 1.00032e+10
0.00368208 9.88271e+09
0.00371232 9.75372e+09
0.0037428 9.66237e+09
0.00377353 9.51802e+09
0.00380451 9.41281e+09
0.00383574 9.29288e+09
0.00386724 9.18182e+09
0.00389899 9.0656e+09
0.003931 8.95739e+09
0.0039633 8.85591e+09
0.00399584 8.74536e+09
0.00402865 8.63159e+09
0.00406173 8.53234e+09
0.00409507 8.41407e+09
0.00412871 8.30934e+09
0.00416262 8.20316e+09
0.0041968 8.10099e+09
0.00423127 8.00585e+09
0.004266 7.89754e+09
0.00430101 7.78685e+09
0.00433633 7.70381e+09
0.00437195 7.5915e+09
0.00440786 7.49656e+09
0.00444405 7.40372e+09
0.00448053 7.30137e+09
0.00451731 7.20958e+09
0.0045544 7.11669e+09
0.00459181 7.01405e+09
0.00462953 6.93308e+09
0.00466752 6.83533e+09
0.00470583 6.74925e+09
0.00474448 6.65568e+09
0.00478347 6.57051e+09
0.00482275 6.47279e+09
0.00486234 6.38789e+09
0.00490225 6.29951e+09
0.0049425 6.21849e+09
0.0049831 6.12784e+09
0.00502401 6.05011e+09
0.00506526 5.96334e+09
0.00510687 5.88874e+09
0.00514879 5.80285e+09
0.00519107 5.71999e+09
0.0052337 5.6413e+09
0.00527667 5.56435e+09
0.00532001 5.49387e+09
0.00536367 5.41385e+09
0.00540771 5.33975e+09
0.00545214 5.2679e+09
0.0054969 5.18801e+09
0.00554203 5.11464e+09
0.00558753 5.0459e+09
0.00563342 4.97377e+09
0.00567967 4.90563e+09
0.00572631 4.83529e+09
0.00577334 4.76534e+09
0.00582073 4.69345e+09
0.00586853 4.63117e+09
0.00591672 4.56253e+09
0.0059653 4.49996e+09
0.00601426 4.43705e+09
0.00606365 4.37198e+09
0.00611346 4.31116e+09
0.00616366 4.24559e+09
0.00621427 4.1865e+09
0.00626529 4.12539e+09
0.00631673 4.06765e+09
0.00636859 4.00667e+09
0.00642088 3.9471e+09
0.00647362 3.89279e+09
0.00652677 3.8344e+09
0.00658036 3.7781e+09
0.0066344 3.72239e+09
0.00668886 3.66701e+09
0.00674379 3.61313e+09
0.00679918 3.55899e+09
0.00685501 3.50662e+09
0.00691131 3.45497e+09
0.00696806 3.4059e+09
0.00702526 3.35644e+09
0.00708294 3.30617e+09
0.00714111 3.25725e+09
0.00719973 3.21007e+09
0.00725885 3.16304e+09
0.00731846 3.1148e+09
0.00737856 3.06932e+09
0.00743915 3.0244e+09
0.00750022 2.97772e+09
0.0075618 2.9352e+09
0.0076239 2.89086e+09
0.00768649 2.84965e+09
0.00774961 2.80717e+09
0.00781325 2.7664e+09
0.00787742 2.72584e+09
0.0079421 2.6867e+09
0.0080073 2.64863e+09
0.00807306 2.60948e+09
0.00813935 2.57115e+09
0.00820618 2.53563e+09
0.00827356 2.49917e+09
0.0083415 2.46307e+09
0.00840998 2.42845e+09
0.00847904 2.39405e+09
0.00854867 2.3618e+09
0.00861886 2.3276e+09
0.00868963 2.29572e+09
0.00876099 2.26649e+09
0.00883292 2.23493e+09
0.00890544 2.20502e+09
0.00897858 2.17566e+09
0.00905231 2.14784e+09
0.00912663 2.11939e+09
0.00920156 2.09242e+09
0.00927713 2.06709e+09
0.0093533 2.0427e+09
0.0094301 2.01807e+09
0.00950753 1.99517e+09
0.0095856 1.97261e+09
0.00966431 1.95093e+09
0.00974367 1.93122e+09
0.00982367 1.9116e+09
0.00990433 1.89338e+09
0.00998566 1.87587e+09
0.0100677 1.86018e+09
0.0101503 1.84513e+09
0.0102337 1.83281e+09
0.0103177 1.81994e+09
0.0104024 1.80977e+09
0.0104878 1.80141e+09
0.010574 1.79354e+09
0.0106608 1.78855e+09
0.0107483 1.78417e+09
0.0108366 1.78232e+09
0.0109256 1.78276e+09
0.0110152 1.78519e+09
0.0111055 1.77291e+09
0.0111967 1.75133e+09
0.0112886 1.73115e+09
0.0113813 1.71121e+09
0.0114748 1.69256e+09
0.011569 1.67396e+09
0.011664 1.6566e+09
0.0117598 1.64024e+09
0.0118563 1.6243e+09
0.0119537 1.60823e+09
0.0120518 1.59314e+09
0.0121508 1.57897e+09
0.0122505 1.56616e+09
0.0123511 1.55285e+09
0.0124525 1.54144e+09
0.0125548 1.52992e+09
0.0126579 1.51989e+09
0.0127618 1.51015e+09
0.0128666 1.50172e+09
0.0129722 1.49413e+09
0.0130787 1.48778e+09
0.0131861 1.48192e+09
0.0132944 1.47706e+09
0.0134035 1.47385e+09
0.0135136 1.47113e+09
0.0136245 1.47033e+09
0.0137363 1.47052e+09
0.0138491 1.4729e+09
0.0139628 1.47651e+09
0.0140774 1.48178e+09
0.014193 1.48785e+09
0.0143095 1.49709e+09
0.014427 1.50748e+09
0.0145454 1.51963e+09
0.0146648 1.53324e+09
0.0147852 1.548e+09
0.0149065 1.56351e+09
0.0150288 1.57902e+09
0.0151522 1.59447e+09
0.0152765 1.60689e+09
0.0154018 1.61362e+09
0.0155281 1.60756e+09
0.0156556 1.58928e+09
0.0157843 1.58096e+09
0.0159139 1.58278e+09
0.0160445 1.58644e+09
0.0161763 1.59703e+09
0.0163091 1.60979e+09
0.0164429 1.62988e+09
0.0165779 1.65188e+09
0.0167139 1.67971e+09
0.0168511 1.71155e+09
0.0169894 1.75e+09
0.0171288 1.79205e+09
0.0172693 1.84617e+09
0.0174109 1.90578e+09
0.0175537 1.97737e+09
0.0176976 2.05999e+09
0.0178426 2.15783e+09
0.0179887 2.26524e+09
0.018136 2.39634e+09
0.0182842 2.54879e+09
0.0184332 2.72395e+09
0.0185832 2.9132e+09
0.0187336 3.15164e+09
0.0188802 3.42166e+09
0.0190113 3.7331e+09
0.0191299 2.10623e+08