R/evaluate.pm.R

evaluate.pm <-
function(times, signal, minPeakFreq=0, minFitFreq=0, iterations=100, accuracy=0.005, startRadius=5, verbose=FALSE){
	# Pre-calculated FAP correction grid
	# Maps time series length & fitted_rho & fitted_NSR & FAP estimate to CDF
	FAP_correction_grid = 	"10 20 40 60 80 100 200 500 1000 2000,
							 0 0.1 0.25 0.5 0.8,
							 0 0.1 0.5 1 5,
							 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 0.055 0.06 0.065 0.07 0.075 0.08 0.085 0.09 0.095 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.6 0.7 0.8 0.9 1,
							 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000465128 0.00118242 0.0103145 0.0475183 0.128153 0.241389 0.363032 0.487286 0.63412 0.814483 0.940968 0.993287 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0461344 0.0935487 0.134333 0.203594 0.294291 0.460136 0.701908 0.818188 0.985691 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0314538 0.0706148 0.138665 0.216142 0.322064 0.447098 0.561249 0.700055 0.913346 0.973303 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154074 0.887113 0.967089 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000308412 0.00048643 0.000611812 0.000743102 0.0169959 0.0516863 0.116377 0.203752 0.290561 0.389942 0.491984 0.600878 0.820794 0.954833 0.99884 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00144934 0.03473 0.101894 0.184477 0.275591 0.381384 0.488892 0.598425 0.799822 0.913456 0.988189 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0316126 0.429542 0.737698 0.981556 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447712 0.823684 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.40107 0.76426 0.986821 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0294693 0.0704284 0.110367 0.204268 0.248701 0.316707 0.418182 0.494326 0.602871 0.897967 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000704349 0.00101402 0.00292305 0.0438457 0.109702 0.175911 0.248107 0.316165 0.391325 0.469361 0.549569 0.694606 0.850971 0.998019 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.161576 0.517264 0.998725 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0693359 0.516702 0.978588 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0576577 0.592664 0.922245 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0661604 0.0879811 0.109802 0.174838 0.190313 0.205788 0.325574 0.747222 0.997491 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.011231 0.0469358 0.0963643 0.152359 0.218628 0.276629 0.319205 0.358311 0.606031 0.959387 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0055406 0.113971 0.99417 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0478302 0.463888 0.875526 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0912281 0.55311 0.895426 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00768619 0.0564626 0.113946 0.228819 0.347255 0.457294 0.556068 0.660532 0.772959 0.907633 0.97449 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.02406e-05 0.000281146 0.000615006 0.000764365 0.0016737 0.00259474 0.00355825 0.00423036 0.00469162 0.00626252 0.00738007 0.00846073 0.0101212 0.0111755 0.0129151 0.0143987 0.0334739 0.06136 0.100949 0.154454 0.230575 0.320664 0.422088 0.537849 0.766737 0.933948 0.997417 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0341664 0.0491373 0.0853997 0.103492 0.188514 0.234794 0.425492 0.751688 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.123385 0.151973 0.18056 0.226403 0.35625 0.836654 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382184 0.621648 0.690368 0.719556 0.748745 0.777933 0.807122 0.865499 0.923876 0.982253 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00055657 0.000913346 0.0015603 0.00288275 0.0282852 0.0879096 0.160749 0.252997 0.344332 0.444343 0.542299 0.654755 0.844959 0.958024 0.999449 1 1 
							 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000203188 0.000418763 0.000972526 0.00243132 0.00386058 0.00507971 0.0057384 0.00709597 0.00920961 0.0112109 0.0126081 0.0159816 0.0175836 0.0192248 0.0211725 0.0228866 0.0249036 0.0274695 0.0642388 0.114176 0.165286 0.22307 0.294233 0.362457 0.437793 0.5093 0.680473 0.831041 0.949672 0.997312 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00271635 0.00391827 0.00525412 0.00697115 0.00936498 0.0116564 0.0131048 0.0143972 0.0183451 0.0224902 0.0253497 0.0315076 0.0329384 0.0386706 0.04125 0.0737179 0.124014 0.206075 0.251956 0.339583 0.406751 0.480855 0.561369 0.695673 0.847115 0.960591 0.998589 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0142857 0.0243819 0.0278159 0.0320976 0.0381773 0.0458494 0.0501152 0.0509381 0.051761 0.0525839 0.0534068 0.0542298 0.0550527 0.0844156 0.11341 0.17035 0.232036 0.273901 0.369754 0.459317 0.528011 0.693438 0.804692 0.93474 0.998451 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00158103 0.00378788 0.00586071 0.00679123 0.00861752 0.0104559 0.0132905 0.0168819 0.0175778 0.0209823 0.0231116 0.0259895 0.0266663 0.0326087 0.0670433 0.118906 0.179513 0.239328 0.301079 0.373913 0.451581 0.536462 0.700373 0.838892 0.957971 0.998353 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000574593 0.00264798 0.00451713 0.00659398 0.00804305 0.0105353 0.0110696 0.0119715 0.0148364 0.0174455 0.0186137 0.0214607 0.0253738 0.0284973 0.0307812 0.033315 0.0363818 0.0403946 0.0809969 0.134891 0.186106 0.252336 0.321184 0.394899 0.478089 0.562305 0.715092 0.863551 0.966563 0.998471 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000799691 0.00119431 0.00159049 0.00181999 0.00250018 0.00406172 0.00626884 0.00840503 0.0108537 0.0125156 0.014251 0.0167344 0.0188482 0.0201151 0.022092 0.0241138 0.0258107 0.0558957 0.0953011 0.148026 0.20075 0.265828 0.339069 0.414516 0.495533 0.665637 0.826899 0.938042 0.992102 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00587162 0.00651403 0.00715644 0.00779885 0.00844126 0.00908367 0.00972608 0.0250382 0.0562071 0.104052 0.121147 0.176993 0.220059 0.295069 0.361413 0.541996 0.753902 0.924301 0.99874 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0152613 0.0297997 0.046579 0.0973878 0.129206 0.162865 0.232685 0.314909 0.555616 0.706171 0.894475 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00982393 0.0286529 0.0374023 0.0811232 0.104779 0.132648 0.191406 0.259943 0.497437 0.741305 0.951807 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00678541 0.00871309 0.010496 0.0119068 0.0133175 0.0147283 0.0176768 0.0224977 0.0327185 0.0371641 0.0395464 0.0412121 0.0424747 0.0437374 0.0901074 0.138698 0.175815 0.216773 0.268299 0.351912 0.427377 0.507342 0.669647 0.841385 0.977028 0.999344 1 0 0 0 0 0 0 0 0 0 0 0 0 0.000151835 0.000165154 0.000178472 0.000245067 0.00044614 0.000502328 0.000558517 0.00103404 0.0013369 0.00182202 0.00220744 0.00258918 0.00305391 0.0043975 0.00576333 0.00679661 0.00832237 0.00999712 0.0112917 0.0134853 0.0162969 0.0420023 0.0822497 0.134091 0.196346 0.265463 0.336558 0.416571 0.493815 0.64931 0.794016 0.922785 0.9958 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00270458 0.0211097 0.0593294 0.111224 0.176399 0.264911 0.339158 0.423275 0.597577 0.759524 0.90449 0.985386 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00731436 0.0441807 0.108367 0.168375 0.2556 0.333036 0.408542 0.603571 0.795172 0.92375 0.991592 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00246039 0.00446724 0.0257683 0.0513475 0.139743 0.198109 0.311029 0.406543 0.602837 0.787664 0.936352 0.995745 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00155175 0.00169814 0.0024301 0.00308489 0.00360248 0.00412008 0.00474567 0.0054561 0.00637681 0.00942029 0.0148654 0.0178442 0.0227676 0.0276812 0.0295125 0.030336 0.0349352 0.0370315 0.0409263 0.0438406 0.0892464 0.140062 0.203836 0.275604 0.341408 0.413228 0.485173 0.589855 0.738841 0.868312 0.974275 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000177296 0.000248214 0.000319133 0.000475401 0.000585799 0.000665826 0.000796587 0.00117215 0.00167813 0.00230054 0.00241684 0.0027739 0.00335975 0.00406014 0.0048446 0.030007 0.0722915 0.127995 0.191847 0.262212 0.321179 0.390178 0.469392 0.644801 0.819784 0.960747 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000697888 0.00375503 0.022314 0.0475207 0.0857501 0.131619 0.196694 0.2633 0.326519 0.477285 0.627617 0.776309 0.96281 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00369824 0.0239253 0.0527509 0.0839916 0.136056 0.187678 0.272047 0.349329 0.505003 0.70242 0.870176 0.970616 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00754626 0.0136184 0.0494701 0.0881834 0.1288 0.178131 0.247002 0.294959 0.502701 0.71907 0.871154 0.977366 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00463149 0.00672033 0.0103522 0.0120548 0.0135421 0.0148006 0.0185402 0.0200801 0.0223822 0.0294292 0.033377 0.035441 0.0383944 0.0401793 0.0411709 0.0427371 0.0457243 0.0709116 0.129192 0.180017 0.223271 0.30799 0.372799 0.457367 0.528594 0.666173 0.811632 0.952094 0.995454 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000209454 0.000296804 0.000426092 0.000683733 0.000821523 0.00134681 0.00148753 0.00210021 0.00270266 0.00325397 0.00426735 0.00554849 0.00632572 0.00718924 0.00796573 0.00978646 0.0114131 0.0126738 0.0341723 0.0667381 0.110617 0.160319 0.222639 0.289332 0.363411 0.44501 0.608408 0.769797 0.906654 0.992146 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00799031 0.0372881 0.0711864 0.0942989 0.128814 0.187571 0.238418 0.30745 0.408814 0.531378 0.683932 0.895198 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0393581 0.106575 0.135799 0.155578 0.200951 0.268201 0.295854 0.316382 0.504327 0.73546 0.807844 0.987411 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0429186 0.0448748 0.046831 0.0487872 0.0507433 0.0526995 0.0546557 0.0742175 0.109634 0.176686 0.198185 0.257681 0.291667 0.422259 0.482818 0.573817 0.77014 0.856936 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00405018 0.00584229 0.00745608 0.00856233 0.00966857 0.0108087 0.0136089 0.0222222 0.0321424 0.0333097 0.0343828 0.035456 0.0430388 0.0444388 0.0694675 0.139909 0.161361 0.228943 0.297491 0.370734 0.443826 0.519215 0.71356 0.858839 0.948309 1 1 
							 0 0 0 0 0 0 0 0 0.000249377 0.000308752 0.000368127 0.000642334 0.000831255 0.00112219 0.0019396 0.00364367 0.00490709 0.00610973 0.00795726 0.00879745 0.0106784 0.012261 0.0158183 0.0175256 0.0203658 0.0240804 0.0265012 0.0297636 0.0327515 0.0350859 0.0383763 0.0426018 0.0454073 0.0845802 0.128429 0.176953 0.228346 0.290212 0.356193 0.418433 0.488986 0.630247 0.765898 0.886534 0.974277 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00315332 0.00401961 0.00488591 0.00847637 0.00923319 0.00999001 0.0107468 0.0126826 0.0185238 0.0205017 0.0219516 0.0244815 0.0358127 0.0407101 0.0442608 0.0479919 0.0873278 0.117166 0.177121 0.222495 0.282828 0.356188 0.398186 0.471173 0.615309 0.736809 0.863483 0.965014 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00648703 0.00925926 0.0120281 0.0146316 0.0172351 0.0207278 0.0242967 0.0264507 0.0286047 0.0375612 0.0480671 0.0501039 0.0521406 0.0542665 0.0569397 0.0596129 0.0723914 0.0968777 0.134643 0.169551 0.226532 0.265908 0.351422 0.397681 0.468623 0.638674 0.809605 0.898025 0.997154 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00648041 0.00768049 0.012602 0.0133477 0.0144832 0.0200474 0.0213492 0.0247312 0.0268203 0.0289583 0.0302565 0.0342131 0.0360094 0.0368179 0.0376344 0.0386329 0.0415771 0.045517 0.0705397 0.104071 0.150026 0.212657 0.272401 0.326421 0.390937 0.467542 0.633929 0.764135 0.898105 0.973118 1 0 0 0 0 0 0 0 0 0 0 0.00110882 0.001202 0.00129518 0.00138836 0.00148154 0.00362837 0.00515197 0.00651245 0.00769654 0.0108729 0.0124053 0.015613 0.0186199 0.0220857 0.0253035 0.0264981 0.0283217 0.0326379 0.0402134 0.0440902 0.0476452 0.0553679 0.0588882 0.097856 0.15277 0.214816 0.278475 0.345465 0.401429 0.476452 0.543234 0.692505 0.810485 0.91711 0.982108 1 0 0 0 0 0 0 0 0 0 0.000236028 0.000266681 0.000297334 0.000327987 0.00035864 0.000389294 0.0014149 0.00198189 0.00317259 0.00446983 0.00598654 0.00752961 0.00927806 0.0109631 0.0137214 0.0170615 0.0197229 0.0212352 0.0238825 0.0268613 0.0299633 0.032727 0.0340525 0.0371616 0.0682318 0.10956 0.160264 0.212944 0.270939 0.335025 0.402012 0.472081 0.612415 0.754336 0.882614 0.970859 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00535282 0.00671141 0.00806999 0.00982221 0.0115825 0.0154232 0.0182936 0.0211336 0.0244169 0.0249872 0.0255574 0.0261276 0.0266978 0.0272681 0.0278383 0.0285255 0.0300708 0.0679426 0.103965 0.145749 0.207634 0.263691 0.29098 0.347458 0.416118 0.564777 0.70626 0.817364 0.963201 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0104879 0.0138068 0.0171258 0.0179225 0.0184999 0.0190773 0.0196547 0.0202321 0.0208095 0.0213869 0.0361204 0.0819043 0.12937 0.172431 0.215252 0.290923 0.321338 0.39544 0.520949 0.680907 0.851021 0.984359 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00761537 0.0104569 0.0128466 0.0146611 0.0164755 0.0182677 0.0198958 0.0215239 0.0231521 0.0269076 0.0320541 0.0357727 0.0379164 0.039885 0.0418537 0.0474398 0.0806216 0.108326 0.141973 0.197486 0.251831 0.339501 0.389816 0.443869 0.611534 0.756867 0.871892 0.97213 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0160494 0.0199828 0.0221361 0.0242894 0.0264427 0.0329521 0.056039 0.0578983 0.0597575 0.0616168 0.105176 0.163166 0.22243 0.289815 0.320247 0.381054 0.416262 0.536645 0.719499 0.795737 0.90308 0.980226 1 0 0 0 0 0 0 0 0 0 0 0 0 0.00033204 0.000419419 0.000550488 0.000943693 0.00161108 0.00257943 0.00346021 0.00467914 0.006501 0.00833595 0.0103949 0.0121632 0.0139588 0.0154923 0.0167899 0.0186222 0.0209972 0.0238282 0.0251258 0.0284681 0.0315089 0.0604488 0.101421 0.146902 0.202642 0.261875 0.326832 0.39331 0.459107 0.603964 0.75405 0.886993 0.9804 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00069389 0.000867363 0.00143221 0.00166933 0.00190645 0.00276326 0.00295488 0.00314651 0.00336997 0.00370629 0.00540541 0.0063356 0.00861277 0.0091531 0.00958754 0.0111464 0.0119597 0.0124305 0.0138619 0.0150046 0.0420871 0.0823301 0.124936 0.172748 0.230609 0.286243 0.351112 0.420897 0.56537 0.705434 0.856955 0.965326 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00348432 0.00538612 0.00830729 0.00995185 0.0122876 0.0132672 0.0139775 0.0149813 0.0169074 0.0179811 0.018432 0.0188829 0.0396856 0.0698234 0.107343 0.155056 0.202104 0.26137 0.330366 0.400288 0.534231 0.677796 0.823684 0.96112 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0025691 0.00398021 0.00628122 0.00689343 0.00750563 0.0107468 0.011156 0.0115653 0.0119745 0.0129303 0.0293964 0.0536984 0.0870482 0.136701 0.180031 0.249139 0.322606 0.385002 0.514467 0.696687 0.838089 0.965955 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00306268 0.00395299 0.0048433 0.00575499 0.00717949 0.00860287 0.00999944 0.011396 0.0141892 0.0205366 0.0245945 0.02849 0.031128 0.0402116 0.0415683 0.0433216 0.0463203 0.0479209 0.0776353 0.131105 0.170624 0.220991 0.30183 0.382316 0.441384 0.51567 0.631782 0.79886 0.9099 0.987854 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000263545 0.000358345 0.000704117 0.000970756 0.00108743 0.00127412 0.00188387 0.00208955 0.00264358 0.00350512 0.00428346 0.00603965 0.0065526 0.00819075 0.00933341 0.0106298 0.0119979 0.0369722 0.0743538 0.130643 0.189989 0.255794 0.327175 0.402621 0.477612 0.646705 0.805288 0.931653 0.995389 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000262612 0.000487727 0.000569015 0.000650303 0.000787038 0.00145383 0.00185141 0.00289148 0.00320437 0.00420776 0.00533522 0.0058849 0.00676478 0.00804652 0.00888407 0.00995431 0.0281035 0.0590434 0.0982079 0.147045 0.204367 0.263233 0.331909 0.399834 0.529478 0.669594 0.812802 0.940779 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00188122 0.00270386 0.00298908 0.00327429 0.00358581 0.00419982 0.00547461 0.00608021 0.00739985 0.00802022 0.00836832 0.00871642 0.00974142 0.010517 0.0133608 0.0144951 0.0152415 0.0169879 0.031425 0.0617221 0.102662 0.139581 0.181477 0.234748 0.30504 0.380321 0.526614 0.700177 0.836428 0.949602 1 0 0 0 0 0 0 0 0 0 0.00105991 0.00109571 0.00113152 0.00116733 0.00120314 0.00123894 0.00141798 0.00159702 0.00177606 0.0019551 0.00244606 0.00446892 0.00573604 0.00717455 0.0109034 0.012871 0.0135379 0.0140187 0.0144994 0.0163119 0.017867 0.0200435 0.0209331 0.0215662 0.0444214 0.0765094 0.110073 0.143397 0.1883 0.242716 0.300593 0.368224 0.518361 0.700069 0.850947 0.96126 1 0 0 0 0 0 0 0 0 0 0 0 0.00187617 0.00254623 0.0032163 0.0040025 0.00647508 0.0086773 0.0140713 0.0207004 0.0239733 0.0280979 0.0319278 0.0335736 0.0408068 0.0418068 0.0423968 0.0429868 0.0460237 0.0525328 0.0563955 0.060272 0.0659612 0.0670152 0.108818 0.162914 0.207797 0.253283 0.30528 0.363977 0.422911 0.486795 0.63227 0.771042 0.88055 0.978181 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8.21957e-05 0.000327687 0.000630167 0.000894838 0.0015323 0.0021574 0.00271224 0.00342811 0.00423472 0.00544465 0.00648442 0.00760326 0.00952813 0.0107128 0.0123922 0.0143678 0.0163339 0.0184513 0.0202284 0.0504764 0.0858288 0.13018 0.180486 0.240926 0.300842 0.371219 0.441394 0.584997 0.724743 0.842181 0.946158 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000773388 0.000930581 0.00108777 0.00124497 0.00140216 0.00179986 0.00277692 0.00441896 0.0050396 0.00826692 0.00918709 0.0118071 0.0124523 0.0344372 0.0661319 0.110007 0.152068 0.199568 0.243341 0.310398 0.366523 0.476013 0.616271 0.728878 0.863067 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00617499 0.0073357 0.00849641 0.00965713 0.0108178 0.0121387 0.0137444 0.01535 0.0169557 0.0284736 0.031379 0.0339595 0.0757737 0.0980867 0.125128 0.172367 0.228859 0.275553 0.310684 0.375723 0.491762 0.652425 0.803468 0.957961 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00877193 0.0190652 0.0206836 0.0223021 0.0239205 0.0255389 0.0321637 0.045397 0.0499186 0.0648267 0.0710321 0.0929629 0.118993 0.152093 0.180302 0.244639 0.342105 0.390136 0.445138 0.598914 0.730064 0.842771 0.969705 1 0 0 0 0 0 0 0 0 0 0 0 0 0.0134059 0.0148024 0.0161989 0.0231811 0.0310339 0.0390514 0.040558 0.0420647 0.0435713 0.0450779 0.0465845 0.0480911 0.0495977 0.0511043 0.0601113 0.0675899 0.0711774 0.074765 0.078508 0.0833903 0.0882726 0.139214 0.153584 0.2051 0.301855 0.344805 0.406668 0.431627 0.489224 0.669481 0.781829 0.920058 0.99723 1 
							 0 0 0 0 0.000473709 0.000487642 0.000626968 0.00110532 0.0013027 0.00168759 0.00203695 0.00263698 0.00279488 0.00315806 0.00337913 0.00575853 0.00698721 0.00935576 0.011073 0.0143889 0.0176457 0.0221967 0.0247118 0.027712 0.0325872 0.0372454 0.0412127 0.0467788 0.0499961 0.0522264 0.0554832 0.0592475 0.0647402 0.108558 0.150845 0.203458 0.261606 0.313714 0.378494 0.438418 0.499019 0.614756 0.752487 0.875888 0.964669 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00551471 0.00835561 0.0173651 0.0191406 0.0280749 0.0318349 0.0354811 0.0376221 0.0389497 0.0445076 0.0493101 0.0518961 0.0535478 0.0598894 0.0657955 0.068886 0.0701 0.118087 0.17562 0.218087 0.253497 0.318089 0.366477 0.438149 0.503561 0.633523 0.768914 0.875355 0.972403 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00553868 0.0164712 0.0191983 0.0214121 0.0229727 0.0245334 0.0265412 0.0320425 0.0469936 0.0522563 0.0544706 0.0566848 0.0673575 0.0689182 0.0704788 0.0720395 0.114139 0.136397 0.187984 0.231124 0.293014 0.363064 0.400728 0.478616 0.611075 0.719382 0.853078 0.952948 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0039604 0.00653737 0.00721552 0.00789367 0.0150715 0.0187114 0.0237624 0.0265347 0.0274776 0.0338181 0.0353651 0.0370434 0.0432815 0.0475421 0.0484106 0.0492791 0.0518812 0.0560041 0.0942008 0.15389 0.223052 0.279538 0.324491 0.366369 0.419307 0.49883 0.62804 0.76527 0.870539 0.956552 1 0 0 0 0 0 0 0.00112164 0.00174477 0.00217529 0.00247742 0.00277954 0.00304967 0.00324517 0.00344066 0.00363615 0.00462612 0.00865146 0.0150026 0.0173165 0.0187672 0.0217918 0.0265483 0.0311209 0.0333423 0.035043 0.0374875 0.0445708 0.0462854 0.0508475 0.0582253 0.0659023 0.0695691 0.0740778 0.122421 0.172981 0.221816 0.270588 0.337986 0.392373 0.458043 0.520724 0.660473 0.778256 0.897557 0.970356 1 0 0 0 0 0 0 0 0.000227771 0.000283325 0.000338879 0.000394433 0.000677105 0.000798017 0.000948692 0.00137033 0.00296334 0.00468654 0.00632066 0.00803513 0.00912641 0.0113052 0.0144142 0.0160534 0.0184173 0.0204522 0.0224734 0.02494 0.026927 0.0305242 0.0330562 0.0362453 0.0396711 0.0435766 0.0859455 0.125094 0.171155 0.22703 0.284687 0.346393 0.408222 0.470709 0.591984 0.726002 0.857246 0.957725 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00341346 0.00581731 0.00999003 0.0108211 0.0116523 0.0124834 0.0200694 0.0235795 0.0263993 0.0289216 0.0315549 0.0328252 0.0340955 0.0350302 0.0358703 0.0367103 0.0377287 0.0413194 0.0446759 0.0901562 0.135855 0.154155 0.209641 0.27818 0.316458 0.404241 0.453456 0.55744 0.691447 0.819485 0.946371 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00675 0.00748529 0.00822059 0.00895588 0.00969118 0.0104265 0.0111618 0.0118971 0.0132705 0.0175514 0.0214608 0.0253125 0.0305208 0.0334711 0.0360537 0.0393333 0.0435 0.0726562 0.0885141 0.109056 0.178369 0.221354 0.300092 0.340278 0.415094 0.564221 0.636621 0.801705 0.955071 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00609808 0.00716418 0.00823028 0.00929638 0.0103625 0.0114286 0.0130612 0.0146939 0.0163265 0.0201824 0.0297662 0.0323636 0.0354286 0.0398242 0.0469702 0.04854 0.0501099 0.0516231 0.0759688 0.133388 0.176854 0.24847 0.289756 0.333265 0.404524 0.475179 0.564198 0.750476 0.884784 0.990563 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0137521 0.017173 0.0205939 0.0320629 0.0394242 0.0447954 0.0490059 0.0528891 0.0567723 0.0605514 0.0643077 0.068064 0.0719167 0.0757999 0.0796831 0.0815 0.0828002 0.129792 0.197972 0.250146 0.268018 0.357964 0.464063 0.530821 0.630987 0.701847 0.735869 0.863605 0.966218 1 0 0 0 0 0 0 0 0.000210663 0.000264679 0.000318695 0.000376492 0.00046832 0.000642792 0.000844812 0.000985057 0.00153046 0.00277778 0.0036584 0.0055831 0.00656566 0.00707071 0.00921947 0.0105322 0.0123836 0.015427 0.0188115 0.0209891 0.0227732 0.0241168 0.0263361 0.0300505 0.0329109 0.0349679 0.066483 0.103191 0.157045 0.212342 0.266697 0.322681 0.387022 0.454056 0.591001 0.729721 0.864646 0.964669 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001625 0.00191313 0.00321543 0.00632369 0.00934007 0.0103832 0.0125732 0.0148793 0.0166131 0.0171003 0.019507 0.0216819 0.0234794 0.0254074 0.0280011 0.0621933 0.0968203 0.143221 0.188413 0.23955 0.303725 0.372008 0.435959 0.555556 0.689711 0.822437 0.944567 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00177729 0.00240309 0.00298038 0.00350509 0.0040298 0.00665075 0.00752541 0.00864029 0.011284 0.0125966 0.0153537 0.0164848 0.0174322 0.0185787 0.0219171 0.0226585 0.0249764 0.04809 0.0828786 0.125162 0.181012 0.253671 0.303147 0.346294 0.410904 0.547237 0.687659 0.815876 0.932779 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00143346 0.0020258 0.00261814 0.00463114 0.00603544 0.00695617 0.00758173 0.00949954 0.0117135 0.0149269 0.0154301 0.0159334 0.0183865 0.0231402 0.0309386 0.0329058 0.0359332 0.0430675 0.0795064 0.109103 0.161434 0.21419 0.27326 0.323963 0.393742 0.450773 0.578447 0.703194 0.827479 0.921792 1 0 0 0 0 0 0 0 0 0.00403381 0.00595467 0.00790754 0.00993512 0.0111473 0.011544 0.0119407 0.0139242 0.0152194 0.01616 0.0171006 0.0180412 0.0194245 0.0209326 0.024017 0.0296002 0.0306612 0.0317221 0.0327831 0.0381953 0.043448 0.0516002 0.0530039 0.0544076 0.0630042 0.109694 0.14708 0.180879 0.250838 0.305109 0.375912 0.425078 0.50557 0.643663 0.772263 0.885979 0.968466 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00026406 0.000354492 0.00067177 0.000917474 0.00187909 0.0024895 0.00352459 0.00439849 0.00516287 0.00658222 0.00780981 0.00991472 0.0116896 0.0131334 0.0158579 0.0177978 0.0196721 0.0224944 0.0520368 0.091468 0.142201 0.200913 0.268349 0.33737 0.413003 0.485097 0.647665 0.801602 0.924367 0.990984 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000400641 0.000692016 0.00103499 0.00166266 0.00214397 0.00238954 0.00371182 0.00450721 0.00550881 0.00721154 0.00841346 0.00929487 0.011372 0.0133814 0.015289 0.0162024 0.018385 0.0416094 0.0754457 0.119416 0.164363 0.219885 0.279046 0.341747 0.400975 0.543069 0.681651 0.821354 0.944244 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000736532 0.000846135 0.000955738 0.00106534 0.00117494 0.00128455 0.00219145 0.0024821 0.00307617 0.00589554 0.00709108 0.009375 0.0121311 0.0152724 0.0161603 0.0192501 0.0199899 0.0226089 0.0479601 0.0830329 0.129297 0.170523 0.199924 0.247135 0.305094 0.373047 0.525608 0.65554 0.787093 0.921441 1 0 0 0 0 0 0 0 0 0 0.000883748 0.000939681 0.000995615 0.00105155 0.00110748 0.00116342 0.00144308 0.00214988 0.00484961 0.00617071 0.0077445 0.00849563 0.0108199 0.0138081 0.0156498 0.0178164 0.0183871 0.0206926 0.0221421 0.0240428 0.02642 0.0296664 0.0329392 0.0365125 0.0593883 0.0856325 0.126429 0.168074 0.220527 0.26661 0.33684 0.389758 0.527959 0.656757 0.800394 0.944341 1 0 0 0 0 0 0 0 0 0 0 0 0.00363674 0.00381075 0.00398476 0.00415876 0.0050288 0.00889719 0.0142972 0.0169081 0.0248506 0.0281195 0.0303872 0.0329644 0.043058 0.0464546 0.0472996 0.051194 0.0522279 0.0536028 0.0552626 0.059051 0.0666081 0.0704696 0.114499 0.154731 0.198594 0.248096 0.303302 0.363796 0.419156 0.481862 0.590275 0.710288 0.855888 0.956848 1 0 0 0 0 0 0 0.000116925 0.000247606 0.00044269 0.000480206 0.000522725 0.000568578 0.000602203 0.000632772 0.000742819 0.00138763 0.00204838 0.00282358 0.0033702 0.00432486 0.0052469 0.00656885 0.00760506 0.00896886 0.00965149 0.0113899 0.0132882 0.0148289 0.0170848 0.0187603 0.0202212 0.0225116 0.0244305 0.0531529 0.0924122 0.14031 0.191317 0.246616 0.308683 0.377765 0.448333 0.586951 0.718719 0.837405 0.936448 1 0 0 0 0 0 0 0 0 0 0 0 0.000421667 0.000449408 0.00047715 0.000504891 0.000643597 0.000782303 0.00111572 0.00192919 0.00264822 0.00398039 0.00469979 0.00515391 0.0058884 0.00667588 0.00718699 0.00818662 0.0086559 0.00976727 0.0113406 0.0128205 0.0135936 0.0148508 0.0364773 0.0603483 0.107601 0.148553 0.206865 0.261806 0.323729 0.378696 0.491292 0.614014 0.746456 0.873633 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00320513 0.00400641 0.00480769 0.00655271 0.0079886 0.0085584 0.00912821 0.00969801 0.0106227 0.0141173 0.0157436 0.0183007 0.0210256 0.0238345 0.0252914 0.0278555 0.0336236 0.0359605 0.0752612 0.129096 0.153974 0.196954 0.245574 0.31619 0.390119 0.441565 0.59865 0.746154 0.861756 0.959121 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00367052 0.0042103 0.00955414 0.0115698 0.0137081 0.0159582 0.0168236 0.017689 0.0185544 0.0219745 0.0275093 0.0305473 0.0329845 0.0348802 0.039754 0.0446835 0.0463083 0.0481688 0.0527247 0.0574196 0.100356 0.133028 0.20139 0.243989 0.290992 0.330139 0.374077 0.441914 0.550786 0.680007 0.811501 0.940613 1 0 0 0 0 0 0 0 0.00869565 0.00894843 0.00920121 0.00945399 0.00970677 0.00995956 0.0102123 0.0104651 0.011729 0.0129929 0.0142568 0.0155207 0.0167846 0.0193921 0.0232397 0.0268258 0.0296675 0.0325092 0.0351691 0.0371014 0.0390338 0.0409662 0.0428986 0.0445241 0.0460182 0.0475123 0.0766839 0.136141 0.188635 0.244638 0.266631 0.292915 0.33483 0.371726 0.543195 0.668577 0.842356 0.95164 1 
							 0 0 0 0.000258465 0.000276926 0.000295388 0.000480006 0.000574366 0.000646162 0.000717958 0.00129232 0.00206772 0.00232618 0.00268803 0.00301542 0.00465236 0.00749548 0.00888721 0.0114873 0.0151977 0.0183079 0.0208208 0.0239511 0.0282431 0.0309462 0.0338589 0.0389174 0.0416128 0.0449729 0.048656 0.0527268 0.0568622 0.0606531 0.104219 0.146119 0.191393 0.246058 0.296201 0.360466 0.417472 0.483071 0.612303 0.730324 0.849597 0.947446 1 0 0 0 0 0 0 0 0 0.00297012 0.00332797 0.00368581 0.00404366 0.0044015 0.00475935 0.00511719 0.00713822 0.00943347 0.0136009 0.0187371 0.0214427 0.0230896 0.0259686 0.0320941 0.0341945 0.041256 0.0428663 0.0499379 0.0513182 0.0554526 0.0578285 0.0623739 0.0705314 0.0767029 0.118659 0.161814 0.197101 0.239877 0.319903 0.367282 0.407053 0.478005 0.579315 0.705797 0.832938 0.954976 1 0 0 0 0 0 0 0 0 0 0 0.010929 0.0132058 0.0154827 0.0181191 0.0209951 0.0238963 0.0260647 0.0280724 0.0298582 0.031644 0.038724 0.0402009 0.0416777 0.0431546 0.0470374 0.0511319 0.0543846 0.0622418 0.0683618 0.0726346 0.0757045 0.0822984 0.0887628 0.137478 0.167846 0.231686 0.279249 0.331437 0.385519 0.441728 0.512042 0.588342 0.700116 0.844262 0.949974 1 0 0 0 0 0 0 0 0 0 0.00246085 0.00320656 0.00395227 0.00457596 0.00491492 0.00525388 0.00703766 0.0100082 0.0141898 0.0195078 0.0208686 0.0217224 0.0233656 0.0280461 0.0313984 0.0333608 0.035699 0.0377117 0.0430027 0.0473089 0.0489538 0.0549031 0.0580884 0.0654904 0.105678 0.16578 0.209579 0.276127 0.338715 0.412379 0.481432 0.537232 0.674621 0.76487 0.890492 0.963719 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00248538 0.00316764 0.00730994 0.0106671 0.0150219 0.0172627 0.0206987 0.0263158 0.0292398 0.0339912 0.0353126 0.0358749 0.0364372 0.0399069 0.0444444 0.0528166 0.0537419 0.0579226 0.0632787 0.0667641 0.120702 0.162822 0.210472 0.263984 0.327957 0.382728 0.438921 0.503028 0.626462 0.77103 0.88363 0.961191 1 0.000337724 0.000405268 0.000411601 0.000417933 0.000424265 0.000430598 0.000493921 0.000557244 0.00063685 0.000781589 0.00101317 0.00123832 0.00147634 0.00178994 0.00192503 0.00330969 0.00540358 0.00741641 0.00952381 0.0108747 0.0134752 0.0152786 0.0185157 0.0215468 0.0244174 0.0279298 0.0329618 0.0361094 0.0401216 0.0441743 0.0475177 0.0496116 0.0548126 0.0951874 0.137048 0.185647 0.236879 0.286785 0.340952 0.40537 0.464978 0.584059 0.715637 0.837183 0.94458 1 0 0 0 0 0 0 0 0 0 0 0 0 0.00298357 0.00323641 0.00348925 0.00475348 0.00703297 0.010084 0.0169748 0.024 0.0274052 0.0344538 0.040197 0.045291 0.0487277 0.0498437 0.0509598 0.0517888 0.0524099 0.0530311 0.0536522 0.0542733 0.0561039 0.0850216 0.149541 0.171202 0.196992 0.256116 0.304 0.335983 0.391429 0.492959 0.635081 0.768632 0.919603 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0145573 0.0218449 0.0231818 0.0245187 0.0258556 0.0272604 0.0287971 0.0303338 0.0318704 0.0355696 0.0382221 0.0396832 0.0411443 0.0426054 0.0446631 0.0468021 0.0498217 0.0594527 0.0951108 0.142548 0.195434 0.255112 0.318113 0.357716 0.389402 0.457767 0.5678 0.720334 0.828443 0.938087 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00595238 0.0132275 0.0168413 0.0176349 0.0184286 0.0192222 0.0200159 0.0208095 0.0216032 0.0229497 0.0262566 0.029049 0.031403 0.0550054 0.117076 0.171753 0.217549 0.282374 0.340278 0.390928 0.439908 0.585439 0.717069 0.841764 0.963849 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0182094 0.0195643 0.0209191 0.022274 0.0236289 0.0249837 0.0263386 0.0276935 0.0290483 0.0304032 0.0317581 0.0331129 0.0344678 0.0363696 0.0445609 0.0527523 0.104273 0.186913 0.242916 0.277731 0.297901 0.415942 0.456449 0.49601 0.570874 0.714639 0.821547 0.93463 1 0 0 0 0 0 0 0 0 0 0.000417597 0.000599161 0.000673132 0.000747102 0.000948672 0.00131815 0.00232306 0.00297983 0.00449371 0.00623742 0.00791392 0.0103189 0.0117436 0.0133813 0.0148311 0.0165368 0.0190067 0.0210905 0.0223354 0.0260968 0.0290593 0.0311564 0.0351807 0.0370282 0.0738466 0.114706 0.160043 0.210239 0.266028 0.323747 0.383463 0.447848 0.575994 0.717046 0.846914 0.960805 1 0 0 0 0 0 0 0 0 0 0.000487092 0.000674435 0.000861778 0.000999488 0.00106275 0.00112601 0.0014423 0.00187009 0.00357201 0.0049798 0.00526632 0.00641338 0.00842383 0.00978612 0.0131109 0.0158305 0.0195961 0.0229542 0.0254641 0.0280078 0.0306868 0.03283 0.034892 0.0374774 0.0663257 0.0955918 0.149321 0.193603 0.245373 0.302259 0.363955 0.421578 0.558451 0.694045 0.825134 0.935147 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00143765 0.00238347 0.00464084 0.00878428 0.0112349 0.014621 0.0183328 0.0192936 0.0242996 0.0253805 0.0277778 0.0301951 0.0331324 0.0348984 0.0393462 0.0472681 0.0508475 0.0557809 0.10573 0.141646 0.173161 0.220823 0.261455 0.314664 0.387928 0.438257 0.552038 0.692721 0.820752 0.939525 1 0 0 0 0 0 0 0 0 0 0 0.00131053 0.00143417 0.00155781 0.00168144 0.00180508 0.00242325 0.00415843 0.00509996 0.00743809 0.00962872 0.0124199 0.0173107 0.0229131 0.0270298 0.0304885 0.0344856 0.0350798 0.03637 0.0403917 0.042463 0.0454916 0.0509996 0.0526316 0.0966952 0.140337 0.192574 0.237565 0.271046 0.326499 0.393513 0.45209 0.571603 0.685231 0.816707 0.935511 1 0 0 0 0 0 0 0 0 0 0 0 0 0.00426747 0.00460349 0.00493952 0.00661962 0.00872093 0.0131422 0.0166667 0.0193548 0.0246976 0.0287945 0.0300868 0.0313792 0.0363978 0.039086 0.0442108 0.0487946 0.049867 0.0509394 0.0520118 0.0557088 0.0593414 0.0911429 0.132987 0.183651 0.235854 0.285253 0.336538 0.378542 0.450712 0.606582 0.719534 0.886007 0.966766 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00023855 0.000896947 0.00104547 0.00127226 0.0021867 0.00347752 0.00535819 0.0064018 0.00757634 0.00942748 0.0116412 0.0146129 0.0156654 0.0165776 0.0182634 0.0215649 0.0238931 0.0254771 0.0585878 0.0986005 0.148187 0.208588 0.269733 0.333397 0.420611 0.491985 0.648855 0.794275 0.921438 0.988887 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000317287 0.000590053 0.000736106 0.00134339 0.00176665 0.00300937 0.00481098 0.00637959 0.00757138 0.00839161 0.0097419 0.0120997 0.0134799 0.0158789 0.0178506 0.0196448 0.0238008 0.0266225 0.0561281 0.0949781 0.13618 0.182738 0.23445 0.290946 0.349871 0.408392 0.537081 0.671789 0.808152 0.929886 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00199973 0.00337594 0.00434016 0.00513328 0.00575294 0.00799659 0.00857267 0.01197 0.0139639 0.0153412 0.0178365 0.0210861 0.0223728 0.0250818 0.0290006 0.0319469 0.0344695 0.0645964 0.100267 0.147066 0.196274 0.241479 0.302806 0.356713 0.416811 0.538359 0.667822 0.787324 0.920855 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00110277 0.00207063 0.00487999 0.00668162 0.00745964 0.00885977 0.00983548 0.0108397 0.0117924 0.0133865 0.0142332 0.0173104 0.0205163 0.0239231 0.0255126 0.0289393 0.0322972 0.0344778 0.0703386 0.109746 0.154626 0.209108 0.25918 0.306311 0.368163 0.427754 0.555973 0.68515 0.816166 0.934159 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00484925 0.00736949 0.0104744 0.011828 0.0134072 0.0149625 0.0167801 0.0192153 0.0203058 0.0233815 0.0257841 0.0284199 0.0311738 0.0348785 0.0372041 0.0428978 0.0493359 0.0904119 0.138791 0.194919 0.253998 0.30003 0.349816 0.40934 0.471481 0.601992 0.730803 0.844402 0.960152 1 0 0 0 0 0 0 0.000144515 0.000223654 0.000362434 0.000385372 0.000408311 0.00043125 0.000546709 0.000639993 0.00070881 0.00119076 0.00195026 0.00286277 0.00404366 0.00530059 0.00653069 0.00736409 0.0083311 0.00937854 0.0109143 0.0128265 0.0142766 0.0166547 0.0187086 0.0205314 0.0221864 0.0256754 0.0280462 0.0588656 0.098676 0.151279 0.202958 0.264448 0.329665 0.399803 0.471507 0.611469 0.743604 0.851941 0.937466 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000750509 0.000903674 0.00110684 0.00210532 0.0027608 0.00450306 0.00601939 0.00640497 0.00763488 0.00923246 0.0111504 0.011636 0.0122226 0.0137297 0.015171 0.0172832 0.0189772 0.0201085 0.0444838 0.0731568 0.112898 0.161788 0.20907 0.259247 0.319931 0.377131 0.492901 0.623995 0.749879 0.887424 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00194992 0.00268297 0.00345793 0.00442384 0.00740741 0.00904613 0.0109013 0.0127094 0.014881 0.0230706 0.024439 0.0267204 0.0339032 0.0365189 0.0376136 0.0426929 0.0469912 0.0491348 0.0839491 0.116585 0.149568 0.179803 0.22695 0.273472 0.320264 0.386207 0.521346 0.663629 0.806346 0.930565 1 0 0 0 0 0 0 0 0 0 0 0 0 0.00266127 0.00372578 0.00470258 0.00563934 0.00657611 0.00770232 0.00900338 0.0141968 0.0151045 0.0160122 0.0168076 0.0175216 0.0182356 0.0228337 0.025132 0.0281877 0.0295985 0.0333157 0.0352244 0.0377762 0.042556 0.0858046 0.118007 0.170161 0.20765 0.23121 0.282592 0.34192 0.405022 0.541323 0.6691 0.815691 0.936768 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00961538 0.0146789 0.0175459 0.0252083 0.0286806 0.0318563 0.0341884 0.0365205 0.0401654 0.0442956 0.0467758 0.049256 0.0521446 0.0552083 0.0580592 0.0608004 0.0637908 0.0671875 0.0856383 0.113778 0.190552 0.247406 0.290859 0.357692 0.417321 0.492188 0.584375 0.705743 0.828893 0.957344 1 
							 0.000813835 0.0008647 0.000915565 0.000966429 0.00101729 0.00114446 0.00163494 0.00237867 0.00252827 0.00267788 0.00288233 0.00330621 0.00385398 0.00404961 0.00470498 0.00816147 0.0126314 0.0153357 0.0194981 0.0244151 0.0267488 0.0287809 0.030824 0.0338019 0.0391749 0.0410097 0.0450516 0.0490844 0.0533716 0.0580948 0.060529 0.0645618 0.0692608 0.109783 0.158147 0.209478 0.25941 0.322016 0.379603 0.43786 0.494914 0.609359 0.730926 0.849034 0.949644 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00367299 0.00384225 0.00468856 0.00553487 0.00638118 0.00770089 0.0118712 0.0146429 0.0228853 0.0267857 0.032763 0.0338323 0.0349016 0.0369388 0.0418233 0.0459524 0.0517241 0.05375 0.0555357 0.060119 0.119364 0.158604 0.188102 0.244643 0.318095 0.373389 0.418203 0.47622 0.595164 0.720952 0.844444 0.946329 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0058597 0.0066968 0.0108823 0.0157022 0.0233364 0.0253979 0.0274594 0.0332839 0.0349683 0.0366527 0.0383372 0.0469613 0.0516229 0.0537811 0.0570527 0.0616595 0.0642656 0.0676489 0.0737876 0.0852407 0.122595 0.18576 0.236411 0.304907 0.384624 0.453351 0.498041 0.541436 0.618193 0.757222 0.82733 0.969035 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00306478 0.00352914 0.00676873 0.00951031 0.0112024 0.0142123 0.0194064 0.021309 0.0244354 0.0263084 0.0281007 0.0299519 0.0365297 0.0428571 0.0477345 0.0551859 0.0613699 0.0633021 0.0675616 0.0690281 0.0968037 0.138209 0.178301 0.233268 0.311225 0.392694 0.445742 0.524865 0.658562 0.749917 0.864873 0.960731 1 0 0 0 0 0 0 0 0 0 0 0 0.00219893 0.00250015 0.00280137 0.0031026 0.00927767 0.0151205 0.0172714 0.0240954 0.0248907 0.0256859 0.033673 0.0420855 0.0434856 0.0475149 0.0542171 0.0562227 0.0597206 0.0610286 0.0628231 0.0662763 0.0673567 0.0696845 0.128885 0.187011 0.24698 0.284891 0.344247 0.379186 0.430486 0.497018 0.621097 0.733101 0.851502 0.950255 1 0 0.000203169 0.000228566 0.000253962 0.000279358 0.000304754 0.000541785 0.000928775 0.00128674 0.00167953 0.00181498 0.00206072 0.00265967 0.00284437 0.00329134 0.00560167 0.00832995 0.0099553 0.0125457 0.0155018 0.0184546 0.0213074 0.0243126 0.0275149 0.0316944 0.0340309 0.0368143 0.040283 0.0434939 0.0469999 0.049912 0.054551 0.0598334 0.0969118 0.141696 0.185616 0.232223 0.28977 0.344453 0.401869 0.459976 0.58507 0.710077 0.825884 0.938186 1 0 0 0 0 0 0 0 0 0 0 0 0.00275455 0.00294991 0.00314527 0.00334063 0.00431742 0.00560957 0.0115183 0.0162979 0.0173535 0.0184661 0.0202349 0.0242431 0.0261401 0.0307113 0.0370117 0.0390254 0.047873 0.0495092 0.0521853 0.0553036 0.0558189 0.0563343 0.0838105 0.121551 0.175724 0.230238 0.265568 0.305541 0.349331 0.426086 0.531565 0.67089 0.797557 0.920931 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00720826 0.00883174 0.0104552 0.01341 0.0178955 0.0202318 0.022568 0.0269823 0.0359921 0.0388947 0.0454023 0.0469349 0.0479539 0.0489729 0.0499918 0.0510108 0.0526612 0.0557846 0.0915462 0.142894 0.186683 0.243008 0.297959 0.325223 0.373392 0.410536 0.55931 0.733046 0.867743 0.941063 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00861742 0.0150298 0.0175888 0.0197234 0.0237403 0.0302906 0.0323642 0.0336598 0.0349554 0.036251 0.0433114 0.0467379 0.0488911 0.0509913 0.0531338 0.0553221 0.0575445 0.120312 0.183239 0.243189 0.269972 0.331689 0.389953 0.448576 0.502352 0.609236 0.693841 0.7914 0.957949 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0165144 0.0180267 0.019539 0.0210514 0.0225637 0.024076 0.0255883 0.0271006 0.0286129 0.0301252 0.0316375 0.0332433 0.0351451 0.0370469 0.0389487 0.0408505 0.0427523 0.0446541 0.14934 0.24793 0.318792 0.344202 0.441662 0.559271 0.608639 0.628485 0.658003 0.770094 0.827983 0.956781 1 0 0 0 0 0 0 0 0.000242509 0.000377236 0.000466084 0.000524344 0.000582605 0.000640865 0.000938336 0.00106514 0.00242509 0.00405978 0.00492985 0.00776029 0.00955666 0.0116404 0.0140282 0.0154487 0.0171912 0.0203061 0.0239994 0.0265952 0.02964 0.0324002 0.0347866 0.0403104 0.0427086 0.0447079 0.0751239 0.118416 0.16875 0.221303 0.277395 0.338004 0.394482 0.461522 0.594309 0.728318 0.850543 0.957345 1 0 0 0 0 0 0 0.000462535 0.000584254 0.000705974 0.000827694 0.00102785 0.00152636 0.00191622 0.00213647 0.00241546 0.00416281 0.00749306 0.00827012 0.0107308 0.0123404 0.0150819 0.0163188 0.0193108 0.0224863 0.0246195 0.0260561 0.0280296 0.0340657 0.0354764 0.0403246 0.0426149 0.046716 0.0504394 0.0824964 0.123202 0.166215 0.207546 0.262933 0.317797 0.372649 0.442183 0.566883 0.690564 0.818409 0.934783 1 0 0 0 0 0 0 0 0 0 0 0.00115398 0.00133429 0.00151461 0.00169492 0.00187523 0.00380739 0.00527079 0.00732861 0.0091653 0.0120359 0.0129179 0.0134245 0.0140831 0.0154112 0.0188652 0.0215884 0.0230243 0.0240342 0.024829 0.0277563 0.0326988 0.0419031 0.0458648 0.0798432 0.0993617 0.148185 0.193408 0.239229 0.302074 0.366556 0.431155 0.555378 0.677394 0.810078 0.925937 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00211531 0.00461522 0.00806769 0.00875552 0.00927793 0.0114844 0.0150531 0.0172617 0.0214482 0.0268595 0.0300079 0.0341931 0.0358239 0.0367626 0.0411255 0.0435087 0.0497554 0.0536933 0.093536 0.130597 0.183786 0.233156 0.288257 0.337662 0.384525 0.439057 0.576004 0.707161 0.835183 0.938484 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00992164 0.0127403 0.0151202 0.0172741 0.0234508 0.0250815 0.0267123 0.0291396 0.0322125 0.0363636 0.0422975 0.0501049 0.0560992 0.0641955 0.070711 0.125614 0.170293 0.207979 0.276136 0.3379 0.409203 0.446505 0.516462 0.611872 0.693706 0.84625 0.928615 1 0 0 0 0 0 0 0 0 0.000211587 0.000234339 0.00025709 0.000279841 0.000302593 0.000325344 0.000348095 0.000668061 0.00110943 0.00259997 0.00328757 0.00391607 0.0053987 0.00639932 0.00675094 0.00773545 0.00905692 0.0114098 0.0147747 0.0168633 0.0199671 0.0217559 0.0250523 0.028041 0.0311352 0.0634307 0.111245 0.157416 0.215432 0.277541 0.347128 0.41375 0.484432 0.643009 0.786115 0.903887 0.982531 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000195222 0.000246596 0.00105735 0.0011738 0.00141194 0.00269201 0.0038622 0.00468858 0.00547307 0.00639301 0.0079476 0.00978166 0.0122445 0.0141485 0.0163974 0.0176419 0.0193362 0.0220087 0.0244541 0.0277438 0.0629913 0.101543 0.150143 0.195983 0.248784 0.303348 0.363008 0.424978 0.554061 0.688384 0.818632 0.938341 1 0 0 0 0 0 0 0 0 0 0 0 0.000541827 0.000623923 0.000706018 0.000788113 0.0012197 0.00191475 0.00277481 0.00471363 0.0060699 0.00838342 0.012629 0.0147634 0.0184569 0.019675 0.0216586 0.0255166 0.0289488 0.0323106 0.0363467 0.0379296 0.040555 0.042304 0.0728388 0.113305 0.150023 0.194889 0.241729 0.286362 0.350409 0.403949 0.510177 0.641542 0.77505 0.898879 1 0 0 0 0 0 0 0 0 0 0 0 0 0.000677906 0.000856302 0.0010347 0.00308031 0.00499764 0.00858086 0.0106354 0.0111003 0.0117638 0.0142244 0.0178689 0.0197195 0.0235974 0.0256106 0.0277699 0.0318246 0.0338834 0.0365534 0.0402988 0.043491 0.0460946 0.089536 0.137294 0.175994 0.221405 0.274283 0.330889 0.382706 0.441327 0.553615 0.677859 0.814274 0.928752 1 0 0 0 0 0 0 0 0 0.00250037 0.00287356 0.00324675 0.00361994 0.00399313 0.0044955 0.00616051 0.0112142 0.0117295 0.0122449 0.0127603 0.016543 0.0204644 0.027417 0.0362354 0.0413575 0.0464897 0.0516063 0.0576952 0.0638999 0.0659864 0.0737133 0.0767762 0.0830382 0.0849567 0.115467 0.161616 0.215368 0.263348 0.317025 0.364063 0.417614 0.484771 0.606257 0.713519 0.829221 0.95671 1 0 0 0 0 9.56846e-05 9.91019e-05 0.000133275 0.000167448 0.000263133 0.00040666 0.000489055 0.00058418 0.00063454 0.000691873 0.000765477 0.00113696 0.00220075 0.00263133 0.00352438 0.0045211 0.00587504 0.0070089 0.00928141 0.0105014 0.0125985 0.0144803 0.0160112 0.0181482 0.0206679 0.0221988 0.0238255 0.0261697 0.027908 0.0592288 0.099512 0.15099 0.203138 0.265525 0.335853 0.40953 0.487258 0.630657 0.761554 0.866711 0.943498 1 0 0 0 0 0 0 0 0 0 0 0 0.000302521 0.000470588 0.000602317 0.000679537 0.00103654 0.00152381 0.00233613 0.00261905 0.00293233 0.00414286 0.00498137 0.00593651 0.00680519 0.0088 0.0101118 0.0115584 0.0126122 0.0136346 0.0160833 0.0178286 0.0191209 0.0211429 0.0484082 0.0792619 0.120929 0.159238 0.208714 0.25481 0.31175 0.370607 0.484143 0.613937 0.747143 0.89 1 0 0 0 0 0 0 0 0 0 0.0014752 0.00162886 0.00178253 0.0019362 0.00208986 0.00224353 0.00555327 0.00802139 0.0121024 0.012982 0.0139929 0.0157997 0.0176405 0.0192451 0.0206067 0.0229501 0.0259693 0.0273943 0.0309256 0.0319086 0.0355615 0.037375 0.0399687 0.0437577 0.0650129 0.106853 0.142107 0.175849 0.237876 0.293024 0.335896 0.394286 0.516407 0.665033 0.78733 0.912695 1 0 0.00186916 0.00188541 0.00190167 0.00191792 0.00193417 0.00209671 0.00225924 0.00242178 0.00258432 0.00274685 0.00290939 0.00307192 0.00323446 0.00339699 0.00622032 0.00757444 0.0081178 0.00866116 0.00920452 0.0112466 0.0128307 0.0161723 0.0208972 0.0234813 0.0302336 0.0325323 0.0341882 0.0352749 0.0361215 0.0369003 0.0401617 0.0425701 0.0927982 0.141682 0.19554 0.240862 0.279647 0.321902 0.371495 0.441781 0.56463 0.717477 0.819226 0.93785 1 0 0 0 0 0 0 0 0 0 0 0.00464217 0.00512573 0.00560928 0.00609284 0.0065764 0.0089942 0.0111888 0.0133741 0.0176364 0.0247801 0.0310227 0.0333694 0.0351732 0.0366996 0.0376877 0.0386759 0.039664 0.0406522 0.0455492 0.0503409 0.0564516 0.0639175 0.0662605 0.108817 0.161209 0.229075 0.283533 0.315965 0.399177 0.443904 0.515354 0.63544 0.716706 0.834525 0.934114 1 
							 0.000587567 0.000626738 0.000665909 0.00070508 0.000744252 0.000783423 0.00137099 0.0016966 0.00186797 0.00255918 0.00342747 0.0036674 0.00411297 0.00548396 0.00694635 0.0102002 0.0143366 0.0196052 0.0244036 0.0283795 0.0324301 0.0361941 0.0396216 0.0437072 0.0480303 0.0505621 0.0546568 0.0583889 0.0628827 0.0675213 0.0710858 0.0755611 0.0801206 0.122579 0.174184 0.220318 0.265789 0.322946 0.377536 0.428846 0.482588 0.589251 0.710995 0.823005 0.929531 1 0.00701754 0.00736842 0.0077193 0.00807018 0.00842105 0.00877193 0.0107512 0.0112011 0.0116509 0.0121008 0.0125506 0.0130004 0.0134503 0.0139001 0.01435 0.0216216 0.0239924 0.0276316 0.0328475 0.034197 0.0355466 0.0376518 0.0493767 0.0527996 0.0555991 0.0598684 0.0685494 0.0795195 0.0852871 0.0959064 0.102678 0.107331 0.112742 0.179915 0.211506 0.243189 0.302493 0.355732 0.392266 0.461567 0.501645 0.573188 0.707401 0.873479 0.959129 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0144886 0.0192235 0.0239583 0.0390335 0.0413569 0.0436803 0.0460037 0.0483271 0.0632622 0.0708841 0.0869792 0.0938802 0.10075 0.114205 0.128914 0.135227 0.188314 0.220503 0.285764 0.336942 0.396448 0.456579 0.472622 0.528103 0.669718 0.822843 0.881805 0.964608 1 0 0 0 0 0 0 0 0 0 0 0 0.00661981 0.00743707 0.00825433 0.00907159 0.0126333 0.0138052 0.0149771 0.0161491 0.017321 0.0184929 0.0200138 0.0215823 0.0231508 0.0247192 0.0316149 0.0347205 0.0383218 0.0438585 0.0470275 0.0503265 0.054308 0.0603372 0.121984 0.171173 0.206022 0.249587 0.296273 0.330849 0.403643 0.467608 0.567288 0.715735 0.849689 0.94493 1 0 0 0 0 0.00404858 0.00410561 0.00467583 0.00524605 0.00581627 0.0063865 0.00695672 0.00752694 0.00809717 0.00827092 0.00844468 0.00931348 0.0101823 0.0110511 0.0119199 0.0192555 0.0290794 0.0308396 0.0350877 0.0420557 0.0441213 0.0468814 0.0492632 0.0508826 0.052502 0.0541335 0.055766 0.058393 0.063843 0.105938 0.136888 0.196007 0.245115 0.308097 0.366802 0.422127 0.478697 0.60201 0.725737 0.812506 0.937247 1 0 0 0 0 0 0 0 0 0.000751395 0.00128811 0.00154573 0.00207528 0.00249954 0.00268356 0.00364964 0.0068699 0.00993682 0.0129884 0.0148132 0.0181766 0.0230786 0.0268356 0.0313439 0.0353371 0.0385359 0.0420066 0.0461571 0.0499976 0.0527265 0.0558793 0.0586088 0.0626664 0.0671247 0.11024 0.158222 0.209264 0.262559 0.306167 0.356805 0.412623 0.467225 0.587699 0.702877 0.820094 0.933061 1 0 0 0 0 0 0 0 0 0 0 0 0 0.00189586 0.00206514 0.00223441 0.00308078 0.00689073 0.0129799 0.0149109 0.0186878 0.0204803 0.0217155 0.0236035 0.0254479 0.0300427 0.033897 0.0367544 0.0378173 0.042527 0.0445286 0.0502205 0.0552177 0.0573215 0.0924233 0.131993 0.156899 0.194117 0.25993 0.315167 0.368373 0.423928 0.532724 0.650324 0.793959 0.915783 1 0 0 0 0.00401606 0.0040501 0.00408413 0.00442448 0.00476482 0.00510517 0.00544551 0.00578586 0.0061262 0.00646654 0.00680689 0.00714723 0.0106371 0.0152098 0.0219927 0.0245783 0.0285352 0.0320581 0.0341163 0.0361446 0.0439982 0.0484619 0.0489794 0.049497 0.0500145 0.050532 0.0510496 0.0515671 0.0520846 0.0574419 0.0795032 0.148929 0.182902 0.236512 0.296519 0.345679 0.401339 0.448757 0.596484 0.688978 0.822316 0.920313 1 0 0 0 0 0 0 0 0 0.00400471 0.00421113 0.00441756 0.00462399 0.00483042 0.00503685 0.00524328 0.00627542 0.00730756 0.011383 0.015073 0.0164989 0.0172592 0.0180195 0.0187798 0.0195402 0.0228498 0.0277936 0.0449452 0.0528348 0.0558891 0.0586948 0.0611487 0.0633869 0.0686069 0.111317 0.142916 0.188389 0.24132 0.327 0.392264 0.455069 0.504894 0.647274 0.748526 0.848474 0.939836 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0163659 0.0192575 0.022149 0.0250405 0.027932 0.0305537 0.0319463 0.0333389 0.0347315 0.0361241 0.0375167 0.0389093 0.0403019 0.0416945 0.0430871 0.0444797 0.106061 0.145808 0.20979 0.266816 0.287835 0.357049 0.43046 0.490804 0.615742 0.696148 0.800117 0.915344 1 0 0 0 0 0 0 0.0004484 0.00116507 0.00147167 0.001766 0.00206954 0.00252943 0.00293184 0.00327677 0.00353703 0.00480921 0.006997 0.00971916 0.0122103 0.0140891 0.0155708 0.0193157 0.0215094 0.0253863 0.0282837 0.031457 0.0338024 0.0369481 0.0416667 0.0443866 0.048459 0.0516004 0.055157 0.0951987 0.138797 0.186396 0.238466 0.288815 0.344213 0.40986 0.476269 0.605891 0.710415 0.831862 0.936028 1 0.000422255 0.000434675 0.000447094 0.000459513 0.000471932 0.000484352 0.000608544 0.000732737 0.000921641 0.00111773 0.00120241 0.00128709 0.00137177 0.00145644 0.00171386 0.00303385 0.00457739 0.00685544 0.00903502 0.0106294 0.0131437 0.0156807 0.016766 0.0190015 0.0226528 0.0288127 0.0326379 0.0360469 0.0388309 0.0437779 0.0457848 0.0506706 0.0538003 0.0886736 0.137308 0.183308 0.23401 0.284308 0.342846 0.399989 0.458085 0.576751 0.692437 0.806288 0.928092 1 0.000821693 0.000903862 0.000986031 0.0010682 0.00115037 0.00123254 0.00172239 0.00188041 0.00203843 0.00219645 0.00235447 0.00308135 0.00350428 0.00374595 0.00398763 0.00633008 0.00771478 0.00908187 0.010571 0.0138799 0.0183511 0.0199707 0.0228196 0.0240532 0.0317721 0.035561 0.0376746 0.042901 0.045025 0.0494842 0.0548656 0.0567848 0.0586923 0.0941374 0.143687 0.18156 0.222 0.274445 0.331635 0.385323 0.434949 0.541393 0.671323 0.802109 0.912079 1 0 0 0 0 0 0 0.00100439 0.00131827 0.00163214 0.00225989 0.00323682 0.00388418 0.00506121 0.00659134 0.00726392 0.0098256 0.0124979 0.0137947 0.0162998 0.0216573 0.0254237 0.0301318 0.0331921 0.0340552 0.0384181 0.0416405 0.0424252 0.0475047 0.0538136 0.0551934 0.0595731 0.0627186 0.0657564 0.110366 0.148598 0.195205 0.245026 0.289234 0.334634 0.395133 0.441933 0.539171 0.659212 0.793668 0.907015 1 0 0 0 0 0 0 0 0 0 0 0 0.00587607 0.0076567 0.00933773 0.0101224 0.0140604 0.0183471 0.0239791 0.0249683 0.0259576 0.0269468 0.0287788 0.0339755 0.0402422 0.0425768 0.043566 0.0445552 0.0455445 0.0477208 0.0547288 0.0664983 0.0745563 0.0769676 0.119626 0.153241 0.205387 0.262566 0.315052 0.39429 0.443977 0.499606 0.608194 0.692989 0.800058 0.941115 1 0 0 0 0 0 0 0 0 0.000242424 0.00030622 0.000370016 0.000628845 0.000719982 0.00099723 0.00109796 0.00199894 0.00299841 0.00377146 0.00582365 0.00796172 0.00992481 0.0117384 0.0141627 0.0163445 0.0188623 0.0211164 0.0241148 0.0270707 0.0305263 0.0325653 0.0353748 0.0387299 0.0409569 0.0789474 0.126411 0.182201 0.235789 0.297301 0.357512 0.413206 0.475407 0.614641 0.750526 0.871847 0.965215 1 0 0 0 0 0 0 0 0.000171438 0.000192868 0.000214298 0.000235728 0.000257158 0.000278587 0.000300017 0.000321447 0.00179153 0.00265768 0.00407166 0.00662324 0.00859121 0.0111489 0.0136156 0.0162052 0.0185261 0.0209555 0.0243485 0.0276873 0.0301507 0.0325733 0.0345684 0.0376764 0.0403443 0.0442454 0.0777416 0.119381 0.168241 0.214875 0.274104 0.326975 0.381433 0.448371 0.576113 0.709691 0.832248 0.940717 1 0 0 0 0 0 0 0 0 0.000489691 0.000562779 0.000635867 0.000708955 0.000782044 0.000855132 0.00100105 0.00196445 0.00426429 0.00754636 0.0101624 0.0114992 0.0158767 0.0183269 0.022663 0.0265919 0.0284832 0.0310479 0.0331321 0.0354559 0.0391871 0.0423554 0.0457094 0.0501392 0.0520914 0.0878971 0.12838 0.17193 0.216257 0.269153 0.319678 0.373092 0.424321 0.530832 0.649806 0.776396 0.901435 1 0 0 0 0 0 0 0.00113968 0.00159555 0.0018552 0.00209305 0.00242263 0.00276067 0.00288789 0.00301511 0.00314233 0.00455379 0.00609565 0.00893508 0.0139336 0.0169911 0.0173993 0.0207096 0.0250895 0.0270397 0.0333698 0.0360708 0.0404206 0.0454192 0.0471675 0.0521821 0.0583656 0.0610676 0.0630197 0.105744 0.145386 0.178273 0.220694 0.270405 0.317396 0.379705 0.434765 0.542291 0.654267 0.772194 0.905543 1 0 0 0 0 0 0 0 0 0 0.0039794 0.00581395 0.00646721 0.00712046 0.00777371 0.00842697 0.0098749 0.0126404 0.0198559 0.020928 0.0220002 0.0245417 0.0287921 0.0353308 0.0428571 0.0464419 0.0500156 0.0541901 0.056828 0.0578102 0.0587923 0.0660112 0.0683237 0.0697424 0.12699 0.173389 0.209378 0.252458 0.308447 0.360548 0.422636 0.491299 0.599221 0.742117 0.846622 0.921934 1 0 0 0.000108992 0.00011275 0.000116509 0.000120267 0.00015785 0.000195434 0.000234752 0.000276672 0.000318591 0.000523161 0.000610354 0.000675749 0.000730245 0.00168937 0.00287271 0.00374205 0.00501362 0.00653951 0.00839237 0.00951862 0.0104087 0.0119074 0.0132316 0.0152744 0.0172298 0.0189428 0.0211172 0.0229155 0.0252861 0.0278147 0.0306267 0.0615804 0.106994 0.158311 0.219183 0.290736 0.356839 0.430409 0.503106 0.652302 0.78267 0.886213 0.953474 1 0 0 0 0 0 0 0 0 0 0.000262649 0.000367709 0.000472769 0.00075643 0.0013524 0.00146702 0.00229121 0.0031227 0.00345504 0.00423427 0.0057605 0.00716087 0.00863591 0.0104305 0.0112834 0.0135317 0.015843 0.0182047 0.0212839 0.02284 0.0246697 0.0282905 0.0310136 0.0336359 0.0653051 0.102406 0.141305 0.179211 0.228316 0.277736 0.336107 0.393848 0.511788 0.644142 0.779022 0.912434 1 0 0 0 0 0 0 0.00107768 0.00121948 0.00136128 0.00150308 0.00164488 0.00178668 0.00192848 0.00207028 0.00269825 0.00705905 0.0082259 0.00892568 0.010816 0.0148374 0.0162295 0.0182319 0.0190686 0.0218148 0.0232434 0.024659 0.0287513 0.0342777 0.0388947 0.0423924 0.0476784 0.0505859 0.052346 0.0904512 0.126793 0.173337 0.212447 0.261936 0.322201 0.383067 0.43605 0.541313 0.66655 0.769095 0.882808 1 0 0 0 0 0 0 0 0 0 0 0.00137766 0.00157732 0.00177698 0.00197664 0.0021763 0.0090566 0.01174 0.0158684 0.0181604 0.0201258 0.0237514 0.0283972 0.030009 0.0350486 0.0359591 0.0374963 0.0419514 0.0438223 0.04757 0.052327 0.0574686 0.0628931 0.0659479 0.114717 0.15522 0.214969 0.257023 0.32 0.368024 0.425157 0.48841 0.593208 0.706828 0.839413 0.931371 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00436047 0.0100423 0.0134044 0.0152535 0.0168866 0.0183061 0.0196155 0.022907 0.0281613 0.0331395 0.0359798 0.0384027 0.0413584 0.057655 0.0633721 0.0655609 0.0695438 0.0755814 0.0823643 0.118136 0.165165 0.208169 0.25335 0.306952 0.361092 0.432245 0.487589 0.588889 0.698105 0.807924 0.928973 1 
							 0.000747803 0.000934754 0.0011217 0.00120183 0.00128195 0.00136207 0.00234857 0.0026991 0.00329501 0.00399607 0.00458579 0.00491571 0.00785193 0.00818185 0.00869321 0.0151697 0.0164049 0.0196298 0.0227145 0.0267457 0.032702 0.0370163 0.0415031 0.0459899 0.0493102 0.0519723 0.0603384 0.0657517 0.0701066 0.0736586 0.0810432 0.0852496 0.0900729 0.132735 0.185268 0.234112 0.284418 0.333026 0.390927 0.440399 0.488316 0.600299 0.712283 0.809622 0.905471 1 0 0 0 0 0 0 0 0.0112446 0.0125224 0.0138002 0.0150779 0.0163557 0.0176335 0.0189113 0.0201891 0.0248656 0.0288762 0.0328868 0.040551 0.0456015 0.0485397 0.0514779 0.0544162 0.0566914 0.058821 0.0609507 0.0630803 0.06521 0.0691151 0.0739348 0.0775675 0.0792633 0.0809592 0.0958967 0.130733 0.17674 0.246943 0.291689 0.342287 0.371229 0.442989 0.562882 0.715815 0.764668 0.906048 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0463986 0.0691244 0.0947261 0.100411 0.104364 0.108318 0.112271 0.116224 0.120177 0.12413 0.128083 0.137315 0.148213 0.159111 0.162278 0.163513 0.164748 0.165983 0.178333 0.190683 0.214543 0.242358 0.305895 0.330944 0.342891 0.354839 0.449121 0.578711 0.786154 0.927481 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0297937 0.0436105 0.0596271 0.0676631 0.0756991 0.0789897 0.0798356 0.0806815 0.0815273 0.0823732 0.0832191 0.084065 0.0849109 0.0857568 0.0866027 0.0950617 0.163502 0.240858 0.256696 0.316613 0.388889 0.446998 0.522135 0.608365 0.686493 0.788143 0.895861 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0346735 0.0414193 0.0481651 0.054911 0.0638862 0.0759402 0.0879942 0.096763 0.105465 0.114166 0.118972 0.12118 0.123388 0.125596 0.127804 0.130012 0.13222 0.153036 0.171259 0.229196 0.326087 0.337111 0.348135 0.375118 0.441282 0.628803 0.732322 0.8979 0.996537 1 0 0 0 0 0 0 0.00208877 0.00276016 0.00345953 0.0040615 0.00445605 0.00528721 0.00626632 0.00670148 0.0070206 0.00910937 0.0130175 0.0173368 0.0224543 0.0255178 0.0275457 0.0311962 0.0351361 0.0395561 0.0439117 0.048779 0.0529614 0.0599652 0.0633943 0.0683029 0.0711923 0.0746736 0.0775457 0.118016 0.164856 0.213577 0.262872 0.30829 0.358225 0.40376 0.455701 0.551332 0.666278 0.791645 0.906527 1 0 0 0 0 0 0 0 0.00594707 0.00743384 0.00877724 0.00978612 0.010795 0.0114717 0.0118162 0.0121607 0.0138831 0.0181986 0.0206464 0.0230024 0.0266792 0.0287042 0.0309823 0.0336318 0.035854 0.0371837 0.0379514 0.038719 0.0394866 0.0412356 0.0481472 0.0502243 0.0544794 0.0610445 0.103531 0.156652 0.186549 0.228578 0.287382 0.361464 0.416114 0.455273 0.563945 0.675494 0.782683 0.879057 1 0 0 0 0 0 0 0 0.0059342 0.00652174 0.00710928 0.00769683 0.00828437 0.00887192 0.00945946 0.010047 0.0128727 0.015659 0.028125 0.0302365 0.032348 0.0384384 0.0454054 0.0597169 0.065751 0.0672279 0.0687048 0.0701817 0.0755631 0.0796289 0.0847614 0.090991 0.0945946 0.100208 0.145334 0.176681 0.212422 0.254711 0.323243 0.379616 0.414762 0.492637 0.616962 0.684456 0.784102 0.891041 1 0 0 0 0 0 0 0 0 0 0.00601604 0.00668449 0.00735294 0.00802139 0.00868984 0.00935829 0.0173647 0.0205567 0.0239394 0.0277273 0.0297479 0.0313806 0.0330133 0.0355114 0.0396892 0.0490702 0.0528335 0.0546783 0.056523 0.0656566 0.0700043 0.0726844 0.0759033 0.0795455 0.14601 0.213187 0.236024 0.268678 0.31209 0.355001 0.408965 0.441071 0.530227 0.681439 0.820162 0.933923 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0406909 0.0489952 0.0572995 0.0656037 0.073908 0.082716 0.0915344 0.100353 0.230597 0.265848 0.309179 0.36724 0.444553 0.471706 0.539883 0.583269 0.665107 0.791905 0.840931 0.963452 1 0 0 0 0 0 0 0 0.00202135 0.00291074 0.00344976 0.00375778 0.0042044 0.00476302 0.00522197 0.00537974 0.00751662 0.0109961 0.0146869 0.0188659 0.0208603 0.0247233 0.0279575 0.0335058 0.0377749 0.0430142 0.047542 0.0490343 0.0524857 0.0572935 0.0610373 0.0645213 0.0679172 0.0735949 0.117192 0.157924 0.204516 0.24806 0.3047 0.369433 0.430627 0.483715 0.598503 0.717853 0.838292 0.937398 1 0 0 0 0 0 0 0.000778816 0.00109034 0.00176532 0.00205005 0.00225103 0.00245201 0.00272957 0.00302626 0.00400534 0.00657038 0.0122911 0.0160436 0.0184579 0.0225783 0.0245434 0.0278037 0.0314434 0.0363707 0.0425753 0.0483255 0.0503634 0.0552648 0.0598131 0.063168 0.0670672 0.07085 0.0779011 0.126272 0.16864 0.221495 0.272897 0.324898 0.377072 0.424424 0.4804 0.588561 0.682671 0.798754 0.905841 1 0 0 0 0 0 0 0 0 0.00128866 0.00164662 0.00200458 0.00274914 0.00510257 0.00687285 0.00739352 0.0108002 0.0170185 0.0233899 0.0255089 0.028498 0.0306154 0.0376098 0.0419783 0.0443528 0.0472918 0.0504009 0.0539748 0.0591829 0.060252 0.0613753 0.064753 0.0664376 0.0734684 0.116906 0.167669 0.204731 0.250223 0.303169 0.35344 0.400667 0.459272 0.569874 0.683354 0.79508 0.907156 1 0 0 0 0 0 0 0 0 0.00239234 0.0026642 0.00293606 0.00320792 0.00347977 0.00410116 0.00495557 0.00963583 0.0143541 0.0166995 0.0191831 0.0227273 0.0279221 0.0307587 0.0334928 0.039787 0.0429825 0.0449596 0.0508373 0.0546683 0.0602572 0.0675837 0.072432 0.0763955 0.0810879 0.12357 0.173126 0.219871 0.277328 0.321754 0.367714 0.424137 0.495303 0.583732 0.677684 0.791069 0.908897 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0198424 0.0210658 0.0222891 0.0235124 0.0247358 0.0259591 0.0271824 0.0284058 0.0318627 0.0365762 0.0405671 0.0440764 0.0475856 0.0505234 0.0533682 0.056213 0.0930141 0.1518 0.174095 0.201531 0.261045 0.353293 0.396434 0.450421 0.553846 0.673558 0.808071 0.902993 1 0 0 0 0 0 0 0 0.00075358 0.00119317 0.00150716 0.00231871 0.00260854 0.00313991 0.00339111 0.00401012 0.00659382 0.00898586 0.0123085 0.0163759 0.0213514 0.0253705 0.0301432 0.032697 0.0376539 0.0398859 0.0420435 0.0432602 0.0471929 0.0499246 0.0524994 0.0567607 0.0620447 0.0658485 0.108289 0.158817 0.205916 0.257347 0.311323 0.364732 0.428033 0.493369 0.630558 0.748304 0.86737 0.951017 1 0 0 0 0.000306466 0.000312721 0.000318975 0.000381519 0.000444064 0.000506608 0.000569152 0.00107263 0.00160895 0.00200382 0.00226785 0.00314128 0.00618341 0.00794897 0.011799 0.0140975 0.0171621 0.022985 0.0265604 0.0305241 0.0356523 0.0383083 0.0401471 0.0448207 0.0485749 0.0531719 0.0569687 0.060632 0.0648177 0.0685565 0.106834 0.150169 0.206252 0.256436 0.311166 0.361017 0.412334 0.468097 0.589764 0.713848 0.824854 0.935949 1 0 0 0 0 0 0 0 0 0.000824208 0.00121669 0.00236142 0.00379635 0.00447427 0.00633855 0.00717031 0.00939597 0.015189 0.0168084 0.0201342 0.0227442 0.0246085 0.028104 0.0323142 0.0349292 0.0367592 0.0383336 0.0417599 0.0485686 0.0529456 0.0553548 0.0601541 0.0634352 0.0658859 0.105767 0.148645 0.197282 0.243102 0.285608 0.326622 0.382923 0.436614 0.541221 0.658215 0.779891 0.909769 1 0 0 0 0.000982318 0.0012279 0.00147348 0.00206287 0.00218566 0.00230845 0.00243124 0.00255403 0.00267682 0.00279961 0.0029224 0.00501499 0.0149804 0.0181729 0.0194826 0.0211295 0.0233524 0.0300947 0.0377783 0.0422397 0.0484015 0.0524312 0.0576293 0.064069 0.0677566 0.0731827 0.0831583 0.0871807 0.0944117 0.101319 0.131933 0.175016 0.22768 0.270376 0.314833 0.369492 0.427519 0.476367 0.580255 0.691976 0.790551 0.897839 1 0 0 0 0 0 0.00671141 0.00732714 0.00794286 0.00855859 0.00917431 0.00979004 0.0104058 0.0110215 0.0116372 0.0122529 0.0153672 0.0185034 0.0220985 0.0261909 0.0301619 0.0339728 0.0369424 0.0399121 0.0424722 0.0449765 0.0509278 0.058346 0.0672988 0.0703774 0.0734561 0.0779847 0.0816636 0.0841131 0.155858 0.185069 0.21087 0.250201 0.314454 0.365772 0.424315 0.484442 0.599338 0.730808 0.797766 0.925549 1 0 0 0 0 0 0 0 0 0 0.000287563 0.000639029 0.000884809 0.0010118 0.00110055 0.0011893 0.00220465 0.00332067 0.00488857 0.00587108 0.00711718 0.00876382 0.011167 0.0155763 0.0178015 0.0199411 0.0217589 0.0252616 0.0274023 0.0293154 0.0319369 0.0354182 0.0392404 0.0437735 0.080407 0.123812 0.176971 0.238797 0.300144 0.371196 0.444644 0.520489 0.672538 0.806794 0.908619 0.975078 1 0 0 0 0 0 0 0 0 0 0 0.000678904 0.000806999 0.000935094 0.00106319 0.00119128 0.00349187 0.00473785 0.00847497 0.00961731 0.0107555 0.0130193 0.0147702 0.015972 0.0167313 0.0214329 0.025888 0.0301023 0.0338866 0.0393232 0.0432345 0.0456725 0.0473975 0.051776 0.089103 0.129668 0.171282 0.225123 0.274533 0.326008 0.38531 0.448224 0.57202 0.695493 0.8236 0.940437 1 0 0 0 0 0 0 0 0.00224719 0.00292816 0.00360912 0.00429009 0.00701396 0.00769493 0.00837589 0.00902388 0.0107795 0.0131256 0.01821 0.0271536 0.0295345 0.0324438 0.0386303 0.0429775 0.0465948 0.0486246 0.0529864 0.0545114 0.0553626 0.0562203 0.0572325 0.0582448 0.0676966 0.07313 0.108332 0.150562 0.19669 0.238616 0.282221 0.328975 0.370994 0.423596 0.55068 0.666183 0.755996 0.868539 1 0 0.00195312 0.00198185 0.00201057 0.00203929 0.00206801 0.00235524 0.00264246 0.00292969 0.00321691 0.00350414 0.00379136 0.0046875 0.00591856 0.00651042 0.00952148 0.0162109 0.0183105 0.0273438 0.0374399 0.0389423 0.0449929 0.0467685 0.0490234 0.0523003 0.0617188 0.0676649 0.0761719 0.0804443 0.0850074 0.0924479 0.100348 0.104818 0.140811 0.19222 0.225295 0.272879 0.30733 0.365039 0.427131 0.4729 0.560986 0.676082 0.795759 0.919336 1 0 0 0 0 0 0 0.00587066 0.00677384 0.00767702 0.0085802 0.00948338 0.0103866 0.0112897 0.0120424 0.0127305 0.0161712 0.023822 0.0255737 0.0273253 0.0290381 0.0304014 0.0317646 0.0331279 0.0344912 0.0362259 0.038021 0.0398162 0.0540541 0.0619782 0.070159 0.0737717 0.0777797 0.0830718 0.115371 0.166229 0.242935 0.281598 0.322332 0.348877 0.411842 0.468658 0.59095 0.686271 0.816233 0.917906 1 
							 0.000909642 0.00101071 0.00111178 0.00121286 0.00124655 0.00128024 0.00161714 0.00206186 0.00262786 0.00363857 0.00554449 0.00597765 0.00667071 0.00732987 0.0074617 0.00898616 0.0123981 0.0151607 0.0199255 0.0227177 0.0261231 0.0287043 0.03396 0.0390135 0.0436628 0.0494239 0.0566577 0.0638266 0.0683242 0.0723671 0.0776228 0.0820194 0.0853548 0.136143 0.185567 0.23462 0.277421 0.324709 0.369921 0.41977 0.473317 0.58581 0.704063 0.809986 0.915504 1 0.0102168 0.0104254 0.0106339 0.0108424 0.0110509 0.0112594 0.0133445 0.0154295 0.0175146 0.0185988 0.0190158 0.0194329 0.0198499 0.0202669 0.0206839 0.022769 0.024854 0.0269391 0.0305254 0.0346956 0.0567661 0.0639335 0.0652256 0.0662729 0.0673202 0.0683675 0.0694148 0.0704621 0.0715094 0.0725567 0.0742766 0.0786874 0.0850709 0.142142 0.172113 0.224076 0.29104 0.316755 0.353848 0.373171 0.409492 0.58014 0.703801 0.792189 0.910768 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0262346 0.0339506 0.0416667 0.0493827 0.0539931 0.0583333 0.0626736 0.0670139 0.0713542 0.0833333 0.106538 0.116154 0.126786 0.200795 0.22288 0.286111 0.310475 0.332394 0.371186 0.50554 0.559091 0.674558 0.827708 0.905 0.969187 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0133547 0.0196314 0.0229701 0.0263088 0.0318826 0.0405594 0.0449301 0.0494231 0.0542308 0.0661058 0.0697115 0.0722155 0.0747196 0.0771011 0.078585 0.0800689 0.117809 0.176865 0.204945 0.254092 0.326382 0.412981 0.466146 0.517382 0.629079 0.724789 0.819629 0.906489 1 0 0 0 0 0 0 0 0 0 0 0 0.0285714 0.0489796 0.057398 0.0578231 0.059949 0.0620748 0.0642007 0.0663265 0.0684524 0.0705782 0.0727041 0.0748299 0.0769558 0.0790816 0.0812075 0.0833333 0.0854592 0.0902692 0.0954451 0.100621 0.105797 0.110973 0.1686 0.261521 0.287815 0.300945 0.314076 0.362185 0.401317 0.432435 0.52345 0.729911 0.824713 0.925119 1 0 0 0 0 0 0.000660066 0.00264026 0.00484048 0.00594059 0.00635314 0.00735502 0.0078265 0.00891089 0.0112211 0.0120462 0.0155116 0.0194719 0.0244224 0.0312431 0.0381188 0.042297 0.0432343 0.0467704 0.0518519 0.0544554 0.06033 0.0653465 0.0705071 0.0727833 0.0736634 0.0774917 0.0805281 0.0866887 0.13703 0.189156 0.241997 0.294389 0.341089 0.3978 0.442409 0.510314 0.600528 0.706106 0.813696 0.917822 1 0 0 0 0 0 0 0 0 0.00222046 0.00301348 0.0038065 0.00536082 0.00680412 0.00783505 0.00859107 0.0112911 0.0156701 0.0180412 0.0190722 0.0197881 0.020504 0.0255441 0.0306333 0.0350515 0.036829 0.0403207 0.0428408 0.048866 0.0510515 0.0564948 0.0600053 0.061327 0.0658419 0.116257 0.165567 0.219567 0.267261 0.306489 0.358921 0.406775 0.466729 0.584124 0.693196 0.811856 0.906071 1 0 0 0 0.00421941 0.0042616 0.0043038 0.00472574 0.00514768 0.00556962 0.00599156 0.0064135 0.00683544 0.00725738 0.00767932 0.00810127 0.0191496 0.0274262 0.0317774 0.035443 0.0384435 0.0396156 0.0407876 0.0419597 0.0485232 0.056083 0.0582806 0.0618847 0.0641156 0.0653281 0.0665406 0.0680966 0.0710267 0.0794655 0.128884 0.154495 0.218354 0.279648 0.318441 0.366034 0.421053 0.47729 0.56473 0.682994 0.79014 0.884399 1 0 0 0 0 0 0 0 0.00437355 0.00565989 0.00677054 0.0071784 0.00758626 0.00799413 0.00840199 0.00880985 0.0118915 0.0183946 0.0208677 0.0220453 0.0232229 0.0285326 0.0401338 0.0441256 0.0468227 0.0542433 0.0568562 0.0593154 0.0616469 0.0640406 0.0670112 0.0685315 0.0700517 0.0812231 0.127172 0.18323 0.233921 0.308044 0.357993 0.42155 0.493645 0.5304 0.619075 0.729256 0.819754 0.920762 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037788 0.0493088 0.0608295 0.0694566 0.0767219 0.0839872 0.0912525 0.0974046 0.100032 0.102658 0.105285 0.107912 0.110539 0.113166 0.115793 0.173861 0.214348 0.296168 0.371467 0.447943 0.494601 0.511367 0.553455 0.679088 0.775333 0.837219 0.920193 1 0 0 0 0 0 0.000738007 0.00202952 0.00263574 0.00303403 0.00323903 0.00344403 0.00364904 0.00405904 0.00522755 0.00553506 0.00791681 0.0129678 0.0192553 0.0206642 0.0259533 0.0295203 0.0345018 0.0370849 0.0391964 0.0426404 0.0483395 0.0500959 0.0531365 0.0587567 0.0643542 0.0690037 0.0715867 0.0755228 0.122116 0.164502 0.218872 0.273653 0.324666 0.378106 0.425092 0.475941 0.574465 0.685018 0.794424 0.911861 1 0 0 0 0 0 0 0.00113507 0.00290074 0.00321604 0.00356737 0.00397276 0.00491865 0.00573843 0.00605373 0.00737798 0.0146929 0.0171396 0.0215227 0.0283768 0.0320658 0.0355484 0.0408627 0.0446935 0.0503216 0.057605 0.0633371 0.0679625 0.0694287 0.0732123 0.0779417 0.0829415 0.0854143 0.0900114 0.143161 0.202043 0.246068 0.293606 0.345772 0.393246 0.443625 0.498865 0.608805 0.701476 0.799092 0.910424 1 0 0 0 0.000915751 0.000966626 0.0010175 0.00152625 0.00197239 0.0023246 0.00267681 0.00327054 0.00457875 0.00566101 0.00607726 0.00647131 0.00852353 0.0149137 0.021978 0.027676 0.0317079 0.0375458 0.0433455 0.0526557 0.0634158 0.0668498 0.0721917 0.0769231 0.0787546 0.0830516 0.0862332 0.0938645 0.097909 0.107028 0.145604 0.186126 0.221795 0.271978 0.317308 0.37065 0.419414 0.470009 0.572955 0.674508 0.782051 0.901923 1 0 0 0 0 0 0 0.00094518 0.00189036 0.00294896 0.003138 0.00332703 0.00351607 0.0037051 0.0047259 0.00601478 0.0120038 0.0174858 0.0233144 0.0259076 0.0268431 0.0335109 0.0360113 0.0381222 0.0418242 0.0441084 0.0496219 0.0529301 0.0567108 0.0614367 0.0664579 0.0698383 0.0745342 0.079481 0.123819 0.170476 0.211531 0.252836 0.299811 0.352158 0.394665 0.446755 0.549149 0.668242 0.777647 0.89225 1 0.00841946 0.00846401 0.00850855 0.0085531 0.00859765 0.0086422 0.00908767 0.00953314 0.00997862 0.0104241 0.0108696 0.011315 0.0117605 0.012206 0.0126515 0.0148788 0.027459 0.0337804 0.0358503 0.0379202 0.0399901 0.0523329 0.0696721 0.0854801 0.092701 0.09758 0.110143 0.123055 0.125648 0.128242 0.130836 0.135068 0.139423 0.158997 0.174959 0.188286 0.229801 0.281651 0.335371 0.387032 0.406604 0.519957 0.630791 0.760362 0.904904 1 0 0 0 0 0 0 0.000514706 0.000698529 0.00110294 0.00169118 0.00269608 0.00321691 0.00426471 0.00514706 0.0066636 0.00905331 0.0105392 0.0118873 0.0143382 0.0183824 0.021875 0.0272672 0.0302206 0.0355392 0.0396691 0.0444853 0.0477022 0.0526961 0.0577206 0.0605699 0.064951 0.0695772 0.0766085 0.125245 0.179779 0.225735 0.274265 0.324559 0.376985 0.430147 0.486397 0.59375 0.707108 0.831324 0.92261 1 0 0 0 0 0 0 0 0.000539407 0.000708312 0.000844526 0.00124863 0.00149835 0.00213515 0.00232245 0.00329637 0.00599341 0.00839077 0.0138276 0.0194786 0.0244731 0.0278693 0.0334132 0.0396314 0.0424034 0.0474678 0.0513435 0.0551393 0.0590351 0.0621816 0.0668265 0.070902 0.0746179 0.0785136 0.118926 0.169414 0.216762 0.277944 0.319269 0.376086 0.431465 0.493033 0.599041 0.714914 0.82312 0.920512 1 0 0 0 0 0 0.00074129 0.00100604 0.00127078 0.00154997 0.00188692 0.00222387 0.0024419 0.00265992 0.00287795 0.00328286 0.005745 0.00982209 0.0135285 0.0172144 0.01915 0.0224858 0.0274741 0.0305411 0.039381 0.0407709 0.0448069 0.047875 0.0506099 0.0566076 0.0624537 0.0674574 0.0735112 0.0784841 0.122313 0.16679 0.211564 0.268347 0.330121 0.380343 0.42513 0.470867 0.569681 0.68977 0.794819 0.900148 1 0 0 0 0 0 0 0 0 0 0 0 0 0.00100825 0.0012374 0.00146654 0.00504125 0.0104491 0.0172843 0.0211427 0.0239623 0.0258609 0.0304975 0.0339138 0.0381302 0.0470794 0.0484483 0.0562175 0.0642446 0.0688461 0.0753132 0.0767644 0.0846929 0.0901314 0.135105 0.183471 0.229606 0.281957 0.347721 0.390811 0.427655 0.47956 0.588451 0.68286 0.795486 0.894068 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0060513 0.00830925 0.0105672 0.0178035 0.0233437 0.0261227 0.0289017 0.0327046 0.047638 0.0530432 0.059996 0.0686416 0.0726672 0.077842 0.0863841 0.0929672 0.104149 0.10673 0.10931 0.159167 0.209744 0.24548 0.281226 0.331383 0.382948 0.416999 0.465192 0.558098 0.65896 0.793353 0.915518 1 0 0 0 0 0 0 0 0.000324021 0.000504032 0.000609039 0.000714046 0.00115927 0.00141129 0.00183972 0.00196573 0.00498992 0.00680444 0.00897807 0.0101526 0.012878 0.015157 0.0181452 0.0190692 0.0216734 0.0243826 0.0272177 0.032006 0.0361013 0.0385305 0.0423387 0.0452369 0.0490171 0.0527974 0.0979083 0.144657 0.193674 0.258065 0.319808 0.389365 0.453629 0.52369 0.665953 0.78839 0.891532 0.969254 1 0 0 0 0 0 0 0 0 0 0 0 0.000692042 0.000884275 0.00107651 0.00126874 0.00168067 0.00411765 0.00653595 0.00861928 0.0107266 0.0122549 0.0176471 0.021732 0.0238754 0.0266885 0.0274977 0.0298786 0.0313381 0.0346405 0.0401961 0.0424837 0.0464052 0.0532135 0.104248 0.145588 0.19253 0.24549 0.298039 0.353922 0.408497 0.470196 0.594379 0.706863 0.826797 0.933987 1 0 0 0 0 0 0 0 0.00355227 0.00390054 0.0042488 0.00459706 0.00494532 0.00529359 0.00564185 0.00599011 0.0216155 0.0271141 0.0352673 0.0378271 0.0392491 0.0406712 0.0494881 0.0556639 0.0576954 0.0626745 0.0642259 0.0703072 0.0757679 0.0864619 0.0912969 0.0958129 0.0978939 0.100838 0.146398 0.176147 0.222235 0.26713 0.309539 0.369966 0.421745 0.468818 0.565138 0.673277 0.786603 0.913311 1 0.00210522 0.00212385 0.00214248 0.00216111 0.00217975 0.00219838 0.00238468 0.00257098 0.00275728 0.00294359 0.00312989 0.00331619 0.0035025 0.0036888 0.0038751 0.00652697 0.00775384 0.0111579 0.0201207 0.0250594 0.0270372 0.0299575 0.0366409 0.0375234 0.0422535 0.0511066 0.057052 0.0603994 0.0613309 0.0622625 0.0734406 0.0809859 0.0858484 0.122938 0.165392 0.200489 0.245628 0.287726 0.331489 0.395738 0.463179 0.577007 0.686891 0.793221 0.896666 1 0 0 0 0 0 0 0.00730798 0.00805369 0.0087994 0.00954512 0.0102908 0.0110365 0.0117823 0.012528 0.0132737 0.0154114 0.0174828 0.0195542 0.0258869 0.0314597 0.035493 0.0387197 0.0454007 0.0542177 0.0558626 0.0575076 0.0591525 0.0611771 0.0644037 0.0691791 0.0810052 0.0849071 0.0944022 0.125839 0.189432 0.21868 0.260263 0.304123 0.345943 0.386295 0.424753 0.52774 0.622297 0.770414 0.902685 1 
							 0.00129247 0.0014771 0.00156942 0.00166174 0.00175406 0.00184638 0.00276957 0.00354505 0.00455441 0.00516987 0.00603151 0.00664697 0.00758695 0.00792265 0.00849335 0.0134786 0.0203102 0.0245569 0.0278804 0.0328656 0.0415436 0.0446824 0.049483 0.0605613 0.0683161 0.0750862 0.0805022 0.0843005 0.0872547 0.0915805 0.0971196 0.102131 0.104357 0.156573 0.214919 0.262482 0.297226 0.351797 0.39291 0.45142 0.513025 0.6226 0.718175 0.813269 0.899557 1 0 0 0 0 0 0 0.00796178 0.0141543 0.0176929 0.0192348 0.0194457 0.0196566 0.0198675 0.0200785 0.0202894 0.0213439 0.0223984 0.023453 0.0245075 0.0268931 0.0452449 0.0507358 0.0536852 0.0565287 0.0603419 0.0656847 0.0713946 0.0737713 0.0761479 0.0856977 0.0958113 0.0971607 0.0985102 0.167304 0.200207 0.245223 0.299181 0.347665 0.405206 0.441205 0.476262 0.578025 0.693881 0.776972 0.885105 1 0 0 0 0 0 0 0 0 0 0 0.0102564 0.0110106 0.0117647 0.0125189 0.013273 0.0170437 0.0294118 0.0324008 0.0353898 0.0383788 0.0411132 0.0437487 0.0463841 0.0490196 0.0506984 0.0523771 0.0540559 0.0557346 0.0574134 0.0637255 0.0896359 0.0923292 0.0950226 0.138562 0.192559 0.230572 0.278722 0.299895 0.372949 0.425224 0.48071 0.600588 0.744947 0.857555 0.914103 1 0 0.00763359 0.00766994 0.00770629 0.00774264 0.00777899 0.00814249 0.008506 0.0088695 0.00923301 0.00959651 0.00996001 0.0103235 0.010687 0.0110505 0.012868 0.0146856 0.0202584 0.0249709 0.0282055 0.0309423 0.032399 0.0338558 0.0353126 0.0367694 0.0382295 0.0397685 0.0413076 0.0428466 0.0443856 0.0496183 0.0553029 0.0573331 0.106577 0.181298 0.237713 0.289758 0.343893 0.412812 0.44084 0.503817 0.630316 0.70177 0.804187 0.933162 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0274784 0.0301724 0.0328664 0.0355603 0.0382543 0.0409483 0.0436422 0.0463362 0.0490302 0.0530075 0.0577068 0.062406 0.0671053 0.0718045 0.0764925 0.0811567 0.115456 0.146703 0.240568 0.268473 0.293156 0.379894 0.415506 0.5075 0.562032 0.713073 0.817281 0.910833 1 0 0 0 0 0 0 0 0.00270936 0.00332512 0.00517241 0.00550398 0.00583554 0.00637931 0.00714286 0.00775862 0.0118842 0.0158046 0.0229885 0.0244663 0.0271073 0.0345977 0.0383621 0.0420385 0.0440613 0.0470054 0.0478079 0.0519704 0.0579741 0.062069 0.0648903 0.0704023 0.0783046 0.087931 0.122241 0.182759 0.233054 0.270905 0.328879 0.38319 0.449713 0.501307 0.607854 0.714523 0.818103 0.905431 1 0 0 0 0 0 0 0 0 0 0 0.00198666 0.00216404 0.00234142 0.0025188 0.00269618 0.00358309 0.00807334 0.0109195 0.0186097 0.0202869 0.0218938 0.0238186 0.0290304 0.0372692 0.0432403 0.0481874 0.0530651 0.0634312 0.0647616 0.068155 0.0708812 0.0748135 0.0778474 0.114795 0.162197 0.20455 0.254052 0.306873 0.352969 0.41092 0.474822 0.572893 0.677551 0.790981 0.914219 1 0 0 0 0 0 0 0.00288508 0.00368649 0.0044879 0.00528931 0.0060551 0.00681199 0.00756888 0.00835604 0.00926431 0.0154818 0.0185782 0.0316076 0.0395095 0.0431608 0.0497109 0.0513724 0.0530986 0.0572207 0.0589237 0.0618918 0.0704145 0.0742287 0.0753274 0.0764986 0.0782016 0.0871935 0.0900156 0.145722 0.185286 0.214882 0.254012 0.300906 0.323971 0.370572 0.440754 0.547524 0.65274 0.7604 0.885559 1 0 0 0 0 0 0 0.0024934 0.00322675 0.00396011 0.00479124 0.00564682 0.00645351 0.00718686 0.00792021 0.00850689 0.0111653 0.0157426 0.0197125 0.0241843 0.0316808 0.0352678 0.0361684 0.038193 0.0445585 0.048013 0.051628 0.0570842 0.0648871 0.0766598 0.0830283 0.087709 0.0933502 0.0946235 0.12379 0.167351 0.221982 0.275714 0.330367 0.3673 0.427838 0.489329 0.595739 0.687714 0.814022 0.915687 1 0 0 0 0 0 0 0 0 0.0208204 0.0218512 0.0228819 0.0239126 0.0249433 0.025974 0.0270047 0.0321583 0.0373119 0.0419825 0.0456268 0.0492711 0.0529155 0.0565598 0.0602041 0.0822671 0.0849106 0.0875542 0.0901977 0.0928413 0.0954848 0.0981284 0.100772 0.102676 0.103896 0.116102 0.146918 0.199917 0.234957 0.249608 0.2615 0.277067 0.294572 0.409864 0.588329 0.672142 0.835641 1 0.000787264 0.000874738 0.000962211 0.00104969 0.00113716 0.00122463 0.0017106 0.00209937 0.00259922 0.00377887 0.00428621 0.0045049 0.00472358 0.00494227 0.00516095 0.00874738 0.0137625 0.0176347 0.0222183 0.0286914 0.0305808 0.0370889 0.0450198 0.0517845 0.0561582 0.0615815 0.0654304 0.0683641 0.0724283 0.0757773 0.0796361 0.0856543 0.0921723 0.153954 0.20084 0.246068 0.290413 0.335374 0.392815 0.448138 0.50035 0.591089 0.70077 0.804584 0.91655 1 0 0.000531067 0.000796601 0.00106213 0.00110639 0.00115065 0.0015932 0.00281466 0.00308019 0.00435475 0.00462029 0.00584174 0.00622108 0.00663834 0.00725792 0.0131318 0.0181094 0.019915 0.0235794 0.0326606 0.0366437 0.0400956 0.0446097 0.0497876 0.0556293 0.0600991 0.063374 0.0677111 0.0703133 0.0757656 0.0819614 0.0898566 0.0929368 0.144981 0.193663 0.24599 0.291556 0.338408 0.3906 0.441583 0.491768 0.588091 0.688529 0.792353 0.89715 1 0.00113972 0.00120676 0.0012738 0.00134084 0.00140788 0.00147493 0.00206873 0.00442478 0.0065366 0.00703942 0.00750872 0.00795566 0.00850477 0.00965406 0.0109413 0.0160901 0.0237329 0.0263878 0.0344328 0.0399571 0.0433284 0.0469539 0.0515889 0.0571199 0.0614441 0.0676208 0.0681501 0.0697908 0.0745676 0.0784758 0.0839367 0.0893001 0.0919147 0.13928 0.185573 0.234686 0.283588 0.333709 0.380531 0.425047 0.473787 0.580249 0.692679 0.800751 0.912309 1 0.00157641 0.00166914 0.00176187 0.0018546 0.00194733 0.00204006 0.00315282 0.00361647 0.0060089 0.00637982 0.00682493 0.00752437 0.00805426 0.00976756 0.0103858 0.0156316 0.0182987 0.022997 0.0270772 0.0318991 0.039132 0.0450668 0.0498887 0.0517979 0.0564328 0.0599407 0.0641691 0.0687026 0.0716966 0.0733362 0.0765508 0.078635 0.0839763 0.138406 0.191395 0.24388 0.299332 0.349407 0.401605 0.455304 0.500399 0.594296 0.698071 0.808482 0.911227 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00890019 0.0232438 0.0284298 0.032562 0.0458302 0.0516879 0.0551898 0.0606061 0.0879922 0.102352 0.116514 0.118359 0.120204 0.122048 0.123893 0.140061 0.149334 0.152204 0.155073 0.177506 0.248382 0.301309 0.356273 0.380242 0.442645 0.475702 0.511311 0.624285 0.736501 0.842783 0.914522 1 0.00058117 0.000619915 0.000658659 0.000697404 0.000736149 0.000774893 0.00232468 0.00280899 0.00305114 0.00361617 0.00377761 0.00413277 0.00457187 0.00542425 0.00736149 0.0118817 0.0146261 0.0185974 0.0225826 0.0260696 0.0302208 0.032933 0.0378406 0.0430066 0.0462676 0.0486246 0.0552112 0.0616901 0.0664471 0.0700172 0.0740023 0.0807826 0.0845409 0.13509 0.181373 0.222394 0.269232 0.317706 0.3642 0.413406 0.467132 0.584883 0.691496 0.812282 0.926966 1 0 0 0 0 0 0 0.000760341 0.00194647 0.00228102 0.00304136 0.00402136 0.00419032 0.0052717 0.00593066 0.00661496 0.011253 0.0138382 0.0185523 0.0220499 0.0256488 0.0291971 0.0342914 0.0391901 0.0440998 0.0480873 0.0520833 0.0565085 0.0617397 0.0664538 0.0717762 0.0754258 0.0805623 0.0861719 0.137926 0.185371 0.229319 0.284063 0.338098 0.392792 0.438869 0.49483 0.601429 0.708714 0.811207 0.918796 1 0 0 0 0.000693481 0.000762829 0.000832178 0.00150254 0.00208044 0.00312067 0.00365233 0.0038835 0.00411466 0.00577901 0.00693481 0.00804438 0.0146402 0.0174526 0.0208044 0.0255047 0.0290684 0.0323625 0.0342958 0.0360115 0.0404531 0.0456311 0.0513176 0.0539315 0.0588964 0.0639544 0.0696949 0.0755895 0.079473 0.0853612 0.128294 0.181415 0.221452 0.281679 0.328883 0.381831 0.431246 0.479889 0.564296 0.672816 0.78294 0.901942 1 0.00125376 0.00150451 0.00175527 0.00200602 0.0020896 0.00217319 0.00300903 0.00407104 0.00436604 0.00466104 0.00495604 0.00601805 0.00622701 0.00643597 0.00664493 0.0116714 0.0160481 0.020662 0.0290873 0.0353561 0.0375412 0.0414577 0.0463056 0.0489246 0.0573387 0.0597626 0.0641926 0.069007 0.0730191 0.0803661 0.0861155 0.0922768 0.0947388 0.141926 0.179109 0.226011 0.277232 0.325777 0.368821 0.413574 0.468907 0.568634 0.680107 0.784019 0.892344 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00631829 0.00700806 0.00769783 0.0083876 0.00907736 0.00976713 0.0104569 0.0111467 0.0118364 0.0153765 0.0325203 0.054878 0.0614111 0.073973 0.0779846 0.0807491 0.0829268 0.130282 0.191463 0.246169 0.279181 0.359756 0.399036 0.443201 0.483659 0.592435 0.698247 0.803705 0.91079 1 0 0 0 0 0 0 0.000330518 0.000771208 0.00119966 0.00160668 0.00205656 0.00250643 0.00299914 0.00327763 0.00359897 0.0061054 0.00891174 0.0134819 0.0158098 0.01988 0.0227506 0.0280634 0.0309769 0.0338903 0.0381748 0.0428021 0.044473 0.0488432 0.0532776 0.0568123 0.0623822 0.0669666 0.0713625 0.115887 0.167952 0.223329 0.287506 0.352185 0.415424 0.473779 0.533676 0.658644 0.779049 0.881183 0.961697 1 0 0 0 0 0 0 0 0 0 0 0.00163793 0.00206897 0.00275862 0.00413793 0.00434077 0.00816092 0.00988506 0.0126959 0.015665 0.0184368 0.0227586 0.0290345 0.031954 0.0353103 0.0394828 0.0418966 0.0491954 0.052069 0.0574138 0.0618534 0.0644663 0.0662069 0.0696146 0.11269 0.166897 0.217625 0.269064 0.316552 0.374621 0.428276 0.488966 0.596782 0.696667 0.814759 0.926207 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0166411 0.0187745 0.020908 0.0230415 0.0250545 0.0269997 0.0289449 0.0308901 0.0414247 0.046264 0.0518207 0.0561459 0.0577856 0.0594254 0.0610652 0.062705 0.0670498 0.0758929 0.145805 0.214815 0.248802 0.270833 0.327264 0.381813 0.428962 0.478207 0.580143 0.680014 0.802083 0.884787 1 0 0 0 0 0 0 0.00432478 0.00502232 0.00571987 0.00631893 0.00689338 0.00746783 0.00799006 0.00843395 0.00887784 0.0126065 0.0143721 0.0152933 0.0176595 0.0205078 0.0228056 0.028125 0.0328776 0.0371094 0.0450247 0.0476792 0.0527344 0.0607422 0.0644531 0.0742911 0.0760995 0.0833333 0.0907593 0.145665 0.190039 0.241245 0.298177 0.343192 0.386541 0.429129 0.488477 0.565674 0.675595 0.791295 0.900391 1 0 0.00636943 0.00682439 0.00727934 0.0077343 0.00818926 0.0127389 0.0191083 0.0194544 0.0198006 0.0201468 0.0204929 0.0208391 0.0211853 0.0215314 0.0232623 0.0249931 0.0277257 0.030848 0.0398872 0.0424977 0.0451869 0.0481913 0.0523708 0.0584272 0.0599584 0.0614895 0.0630206 0.0661043 0.0764331 0.0854844 0.0911986 0.0948176 0.134956 0.154945 0.189078 0.252229 0.338376 0.406733 0.465101 0.505886 0.565464 0.658049 0.757962 0.871479 1"
	max_grid_TSL = 2000;
	min_grid_eFAP = 0.0005;
							
	
							
	# average time step
	time_step = (tail(times,n=1)-times[1])/(length(times)-1);
	
	
	#######################
	# Calculate periodogram
	
	
	# Calculate Lomb-Scargle periodogram from time series
	if(verbose) cat(sprintf("Calculating periodogram..\n"));
	spectrum 	= LombScarglePeriodogram(times, signal);
	frequencies	= spectrum$frequencies;
	powers		= spectrum$powers;
	frequencies = frequencies[-1]; 		#discard zero-frequency mode
	powers	 	= powers[-1]; 			#discard zero-frequency mode
	if(tail(frequencies,n=1)<minPeakFreq) return(list(error=TRUE, errorMessage="All periodogram frequencies are below minPeakFreq"));
	if(tail(frequencies,n=1)<minFitFreq) return(list(error=TRUE, errorMessage="All periodogram frequencies are below minFitFreq"));
	minPeakMode	= which(frequencies>=minPeakFreq)[1];	#minimum mode considered for peak search. Does not influence ML fitting.
	minFitMode	= which(frequencies>=minFitFreq)[1];	#minimum mode considered for maximum-likelihood fitting. Does not influence peak search.
	
	# Detect spectral peak
	peakMode 	= (minPeakMode-1) + which.max(powers[minPeakMode:length(powers)]);
	peakPower 	= powers[peakMode];
	peakFreq 	= frequencies[peakMode];		


	######################################
	# Estimate OU process parameters (power_o & lambda & power_e) from periodogram using maximum likelihood
	
	if(verbose) cat(sprintf("Maximum-likelihood estimating OUSS power parameters..\n"));
	mlfit				= mlfit_ouss(	frequencies = frequencies[minFitMode:length(frequencies)], 
										periodogram	= powers[minFitMode:length(powers)], 
										time_step	= time_step,
										series_size = length(times),
										startRadius	= startRadius, 
										iterations 	= iterations);
	if(mlfit$error){ return(list(error=TRUE, errorMessage=mlfit$errorMessage)); }
	
	####################################
	# Calculate statistical significance 
	
	
	if(verbose) cat(sprintf("Calculating statistical significance under OUSS null hypothesis using Bernoulli trials..\n"));
	
	#Calculate statistical significance of detected peak with respect to fitted OUSS process
	significanceOUSS = peakSignificance(power_o			= mlfit$power_o, 
										lambda			= mlfit$lambda, 
										power_e			= mlfit$power_e, 
										times		 	= times,
										frequencies		= frequencies[minPeakMode:length(frequencies)], 
										peakFreq		= peakFreq, 
										peakPower		= peakPower, 
										accuracy		= accuracy);
	
	
	#Correct estimated P-value: Correction is a function of series_size x fitted_rho x fitted_NSR x eFAP
	if((FAP_correction_grid!="") && (length(times)<=2*max_grid_TSL) && (significanceOUSS>=min_grid_eFAP)){
		significanceOUSS = interpolateWithinGrid(FAP_correction_grid, c(length(times),exp(-time_step*mlfit$lambda),mlfit$power_e/mlfit$power_o,significanceOUSS), NULL);
	}
	
	#Calculate local significance detected peak
	significanceOUSSlocal = significanceOfLocalPeak(power_o=mlfit$power_o, 
													lambda=mlfit$lambda, 
													power_e=mlfit$power_e, 
													time_step=time_step, 
													series_size=length(times),
													Nfreq=length(frequencies)-minPeakMode+1, 
													peakFreq=peakFreq, 
													peakPower=peakPower);
	
	#Return all results
	return(list(error			= FALSE,
				errorMessage	= "",
				frequencies		= frequencies, 
				periodogram 	= powers,
				fittedPS		= ps_ouss(freq=frequencies, power_o=mlfit$power_o, lambda=mlfit$lambda, power_e=mlfit$power_e, time_step=time_step, series_size=length(times)),
				peakMode		= peakMode,
				power_o			= unname(mlfit$power_o), 
				lambda			= unname(mlfit$lambda),
				power_e			= unname(mlfit$power_e),
				sigma			= unname(power_o_to_sigma(mlfit$power_o, mlfit$lambda, time_step)),
				epsilon			= unname(sqrt(mlfit$power_e/time_step)),
				time_step		= time_step,
				minPeakMode		= minPeakMode, 
				minFitMode		= minFitMode,
				MLL				= mlfit$MLL,
				P				= significanceOUSS,
				Plocal			= significanceOUSSlocal));
}

Try the peacots package in your browser

Any scripts or data that you put into this service are public.

peacots documentation built on May 2, 2019, 5:41 a.m.