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10.44556 10.55963 10.42705 11.31645 12.44226 13.15646 13.51630 13.65812 13.53687 13.03416 12.55025 12.29947 12.01832 11.84584 12.14609 12.33295 12.62702 13.29700 13.82258 15.13616 16.51352 17.92580 19.26769 20.64294 21.69471 22.48705 23.39228 23.25706 22.76742 21.96062 20.80537 18.98625 17.78054 16.59898 15.34296 15.06373 14.50777 13.68350 12.68694 11.24819 10.41667 9.78261 9.23664 8.85150 8.55884 8.80783 10.03493 11.02812 10.96698 10.62246 10.29891 10.13651 9.97946 10.14387 10.86957 11.58751 12.91729 14.31535 16.00758 16.70814 17.25460 18.01802 18.89374 20.40909 21.55172 23.09417 25.53648 26.17164 27.91056 27.65388 26.11650 23.82146 21.79364 20.00000 17.73256 16.69492 15.84158 15.40362 16.77524 16.47351 18.11224 18.66071 18.87299 18.33631 16.69580 16.66667 16.98292 18.06084 18.67816 21.97802 21.58470 21.16451 19.18182 19.89150 20.10490 18.51536 16.85761 16.21406 15.85557 15.34954 14.57399 14.88889 14.66763 13.72688 13.94026 12.82051 14.00000 14.25620 14.04110 13.79310 13.13559 13.41019 13.07692 13.08523 12.59169 13.03828 14.38188 13.78676 14.20863 13.65796 14.60129 15.07692 15.87537 15.62786 15.20000 14.33660 13.70717 
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12.70138 12.67332 12.60694 13.30044 14.36428 15.33347 15.98837 16.52101 16.63037 16.23887 15.80288 15.42584 15.01369 14.92569 14.42268 13.87283 13.76787 14.38490 14.95902 15.61791 16.36311 17.05723 17.28777 17.68623 17.93338 17.77344 17.82575 17.16932 16.55140 15.60784 14.62481 13.21765 12.31984 11.96826 11.23837 10.94340 10.44499 9.91824 9.03302 8.20368 7.30717 6.15764 5.64516 6.89655 8.42605 9.58281 10.74495 11.42944 11.79933 12.08999 12.14300 12.00410 11.97512 11.94717 12.02237 12.26491 12.80950 13.62457 14.63378 15.03362 15.67188 16.37081 16.88776 17.43674 17.43504 17.88061 18.47323 19.28238 20.87172 21.15385 21.34831 21.02888 21.17537 20.00000 17.89474 17.58929 14.40678 14.80865 15.11628 13.92045 14.08046 16.82692 17.25146 15.62500 17.40506 17.19745 16.25767 17.45868 19.87952 18.84615 19.13462 17.17850 17.77567 16.69776 15.94747 14.22018 12.88396 13.00336 12.50000 12.80389 11.55660 12.50000 11.80124 11.70213 12.44240 11.81818 11.76912 11.90160 11.41161 11.40127 11.64122 11.60151 12.23898 12.63097 12.71879 12.84091 14.21233 14.94565 16.26638 15.90909 16.68438 17.56757 17.34486 17.70073 17.65499 16.78404 15.77498 
14.14996 14.04423 13.97916 14.39576 14.88399 15.81427 16.45982 17.38166 17.83691 17.40462 17.09486 16.71624 16.20891 15.62884 14.99063 14.38281 14.08501 14.30406 14.41173 14.67142 14.91841 15.15681 15.23447 15.42710 15.44094 15.22346 15.08621 14.46735 13.85358 12.73650 11.95417 11.02439 10.53980 10.57586 10.79347 10.23143 9.59507 9.08470 7.84909 6.88312 5.97077 5.34912 4.68750 6.68016 8.49515 9.91060 10.71594 11.18721 11.63004 11.74414 11.92820 12.02428 12.01578 12.16512 12.39269 12.64919 12.65854 12.80753 12.69172 12.92864 13.25282 13.52657 13.68137 14.27567 14.31113 14.99176 15.15892 15.46490 16.21525 16.70673 17.53507 18.73576 18.29268 19.46108 20.19544 18.85714 18.36158 16.27057 17.05357 15.28497 16.60482 18.65672 16.97761 17.37668 17.66055 16.31944 17.78742 19.34066 19.68421 18.01242 18.51852 17.83505 15.59356 16.36905 15.67010 15.08097 14.54082 14.14141 13.74172 12.31405 13.54680 12.32000 12.02830 11.52074 11.80654 11.03352 10.79780 12.40360 12.26175 11.65414 11.02662 11.88369 11.13074 11.92714 13.33725 12.83632 14.10112 14.87805 15.91738 16.49104 17.65625 18.42916 19.05966 18.88587 18.58917 18.24480 17.89838 
15.23810 15.14057 15.33233 15.45254 15.54682 15.94237 16.95191 18.04662 18.83227 18.72792 18.44243 17.94159 17.10545 16.37079 15.58378 14.95759 14.32361 14.19799 13.96978 13.85497 13.76023 13.48039 13.38096 13.31346 13.01407 12.80941 12.44003 11.80880 11.27991 10.73681 10.28986 9.66767 9.40803 9.95787 10.00406 9.64691 9.16442 8.04677 6.60131 5.63288 4.71459 4.29883 4.02257 6.21508 8.34171 9.75024 10.53012 10.97061 11.30823 11.57585 11.86275 11.95700 12.28805 12.35534 12.58732 12.76771 12.70815 12.54266 12.28389 12.52822 12.48528 12.56127 12.80000 12.61101 12.54624 13.29987 13.33333 14.23150 14.74064 15.41696 16.14140 16.83769 17.17277 19.29596 20.66176 20.22059 21.23288 18.77432 17.93893 17.50000 16.27057 17.64706 16.66667 16.00467 16.70644 17.43902 19.52055 18.27586 18.68132 18.20128 18.72340 17.92453 16.80328 16.63327 15.79498 16.04938 15.48443 15.40448 15.44369 15.08621 14.28571 14.20168 12.43863 11.59420 11.77778 11.03048 11.64286 12.35060 11.42857 12.25931 11.96636 12.11735 12.09964 13.25088 14.12661 13.47059 14.12661 15.19139 16.42857 15.84507 17.58545 19.21397 19.45917 20.02982 20.08712 19.29224 19.43820 
15.54870 15.60209 15.71209 15.92102 16.29956 16.57472 17.25543 18.25515 18.70891 18.55251 18.32364 17.90449 17.20096 16.54728 15.73869 15.02101 14.46719 14.22676 13.92240 13.71865 13.66260 13.50384 12.93464 12.04276 11.24806 10.81206 10.15982 9.88089 10.00000 9.89551 9.40878 9.08131 9.02004 9.34413 9.74359 9.26979 8.40226 7.32984 5.66988 4.11227 3.44388 3.76794 3.55359 5.84969 8.11765 9.91331 10.32402 10.77621 11.17053 11.38716 11.68160 12.06431 12.22161 12.75366 12.99250 13.33901 13.22282 12.99709 12.77296 13.06761 13.15789 12.83108 12.45487 12.11637 12.68939 12.20550 12.50000 13.63099 14.15629 15.18625 14.93142 14.89152 16.25596 17.63085 18.76321 20.84806 21.61355 21.95378 20.00000 19.10755 17.46988 16.66667 17.29858 17.75701 17.88235 18.28979 18.55422 17.75362 19.93088 19.25676 18.16193 18.98734 17.85714 17.66467 16.40000 16.86391 17.65799 17.24771 16.03261 16.26917 14.95798 14.75000 14.27406 14.01945 13.36940 12.50000 12.10996 11.76880 11.68478 10.90226 11.07711 10.20408 11.01485 12.04156 12.40964 12.97578 13.65714 15.61404 16.24130 16.76234 18.75000 19.58378 20.71651 20.69632 20.33582 20.58824 20.21053 
15.24688 15.56529 15.76214 16.20041 16.74599 17.01183 17.72062 18.08155 18.63253 18.28740 18.13008 17.69430 17.05585 16.44510 15.76033 15.01750 14.27194 13.96304 13.67659 13.50281 13.50385 13.52804 12.67348 11.71379 10.75381 10.09378 9.65848 9.35292 10.02423 10.10181 9.59829 9.15493 8.63825 8.51190 8.30165 8.00259 7.17123 6.45806 5.36160 4.19609 3.95492 4.66137 5.50589 7.07675 8.53835 9.82788 10.71624 11.16107 11.65204 12.43501 12.88105 13.71709 14.84088 15.49340 16.09881 16.34897 16.34734 16.20205 15.94262 15.62315 15.37730 14.96276 15.06024 14.69649 14.78261 14.74820 15.19139 15.35433 16.39549 15.03067 15.72482 16.25000 16.89560 17.95775 18.61842 19.94163 20.46460 21.56398 18.58108 18.00459 16.88830 17.15040 14.61916 15.55556 17.12846 17.34177 17.80488 19.11765 18.73536 18.54839 20.00000 19.61207 18.35443 18.45361 17.55102 18.97590 19.15094 17.83734 16.66667 16.15385 16.49746 17.09184 15.61462 14.67662 13.27014 12.32449 11.92661 11.05563 10.09749 10.57692 9.56522 9.63636 10.35980 10.31553 11.56138 12.62741 13.58575 15.13605 17.02368 17.88117 19.31072 20.09751 20.50147 21.43541 21.83164 21.62896 21.39175 
15.83172 16.26424 16.61804 16.79211 16.99388 17.39784 17.62929 17.60680 17.68815 17.63632 17.66203 17.37918 16.79715 15.93593 15.24557 14.36152 13.58763 13.21039 13.06572 13.12355 13.32504 13.51510 12.98337 12.07834 11.06434 10.79384 10.21029 10.37812 10.57323 11.05186 10.54302 9.45652 8.40807 7.93358 6.87898 6.53779 6.06641 5.69211 4.86564 4.49507 4.87106 6.07909 7.22245 8.58896 9.45378 10.46931 11.07021 11.78737 12.63838 13.58535 14.72548 16.35884 17.96797 19.15742 19.64230 19.98048 19.98970 19.79580 19.44613 18.99225 18.48309 18.28170 17.94804 17.83920 18.29851 18.60955 18.98080 17.45514 16.69255 17.56757 17.25962 17.30589 16.99703 17.68666 17.46032 19.35798 19.27313 20.71429 18.32947 16.78571 16.85083 16.71233 15.76087 16.83805 17.60925 17.13918 17.25352 20.42254 20.41284 19.52596 19.00000 18.40355 20.19651 19.10828 19.00826 20.30612 17.45562 17.56757 16.82420 17.64168 17.08633 17.17949 15.89744 14.09168 12.31405 11.39344 10.98546 10.38961 9.74576 9.30537 9.49045 11.33250 10.86957 11.68675 12.14789 12.45675 14.44695 16.29956 17.71739 19.61207 21.01373 21.50313 21.83031 22.04101 21.44809 21.73423 21.09208 
16.22460 16.69892 16.92786 16.90420 17.11957 17.64482 17.27707 17.15636 16.67077 16.59152 16.77393 16.68961 16.17128 15.61003 14.88521 14.05776 13.16617 12.89488 12.78765 12.74773 13.20813 13.53503 13.28348 12.72340 12.15977 11.65289 10.61485 10.47483 10.48360 10.56497 9.29914 8.06045 7.24747 6.51503 5.96442 6.04305 6.46517 6.72727 6.77433 7.10723 8.08286 9.69751 10.69601 11.69451 12.41149 13.09398 13.92157 14.41538 15.35198 16.64573 18.15210 19.41199 20.33771 21.43742 21.74240 22.30239 22.32492 22.72004 22.39793 22.20630 21.85285 21.08434 20.20160 18.88889 19.08019 20.42526 20.12535 20.37702 18.80651 19.40433 17.84000 18.73041 18.54839 18.51852 17.97753 18.51852 19.39462 17.68150 18.17156 18.82217 17.05426 18.60465 16.11675 16.75258 20.15707 18.21705 18.75000 19.37355 20.62212 20.89041 19.39462 20.92511 21.89542 21.26316 20.25316 19.81328 19.56067 18.90244 18.43687 18.50829 17.05989 16.43718 14.16382 13.20273 12.87879 11.31448 10.77303 9.41176 10.21739 9.32886 9.55497 10.22727 9.72396 11.17861 13.09963 14.00689 15.86323 17.17226 18.57143 20.31579 20.83333 22.57406 22.42026 21.65138 21.57473 20.95697 20.53191 
15.92845 16.53170 16.41180 16.64437 17.21243 17.46444 16.99521 16.30041 15.64857 15.57729 15.48373 15.23799 15.11628 14.96779 14.49849 13.89201 13.14605 12.98624 12.72208 12.70792 12.94427 13.14902 13.44538 13.52052 13.53555 12.32645 11.29211 10.42677 10.07157 9.67800 8.07312 7.02875 5.76347 5.78641 5.69724 6.39831 7.34452 8.16832 8.89545 9.85222 11.13959 12.53797 13.72270 14.25549 14.62926 15.01155 15.74529 16.24647 17.17748 18.50000 19.84273 20.96774 21.87212 22.56809 23.02245 23.57773 23.62805 23.63402 23.64631 23.77182 23.66134 23.09963 21.58793 19.80874 20.40159 21.63265 21.11940 20.78313 22.48908 20.19868 19.64286 18.12865 17.37864 18.32130 19.50549 17.88155 17.50000 18.22660 16.93735 17.17647 16.35884 18.27676 16.58031 19.68085 18.56764 19.76127 19.35867 18.86792 19.23077 19.79167 21.29841 20.40359 20.39474 21.09208 20.58190 20.25052 18.42105 18.16327 17.96407 16.56627 16.53386 15.98513 15.14870 13.61111 12.94416 11.86869 9.55777 10.00000 8.80721 8.44595 9.03694 9.41846 10.23869 10.64087 12.82209 13.95760 15.81633 17.30559 19.67742 20.38420 20.81165 21.17769 21.97483 21.77650 22.21703 21.39108 21.11486 
15.31223 15.72750 15.85467 16.08997 16.74189 17.52278 17.58835 17.05681 16.63674 16.35379 15.84192 15.48421 15.40055 15.39130 14.92054 14.38563 13.82579 13.43750 13.21942 13.07644 13.63890 13.89969 13.93378 14.10112 14.14696 12.63721 11.48591 10.66939 9.69769 8.60963 7.68942 6.61871 6.08082 6.66008 7.35976 8.97039 10.52250 12.27500 13.24025 13.99371 14.62334 15.54319 16.30631 16.71075 16.69580 16.94990 17.65369 18.31021 18.82736 19.66505 20.78639 21.28505 22.26430 22.85005 22.75156 22.56098 22.17790 22.23944 21.92982 22.27541 22.51244 22.39011 21.93252 20.61475 20.31662 20.67343 20.37325 20.11873 20.08427 19.47674 18.55769 17.44186 17.55408 18.59296 19.17808 20.59471 17.76018 17.58621 16.90141 15.92506 17.10843 17.37589 17.01389 17.69802 18.73449 18.36228 17.20930 17.55814 17.83217 19.79167 18.65169 20.73991 21.71053 20.75688 19.53642 20.12848 19.13717 18.45494 18.47134 17.43028 16.69941 16.06822 14.23488 12.76596 11.49606 10.51402 10.57543 9.68208 8.14448 8.70445 8.98283 9.24745 9.48492 10.73583 12.22494 14.03509 15.76271 17.56757 19.14557 20.88143 21.38462 22.19959 22.55747 23.06590 22.30553 21.59292 22.34783 
14.72746 15.41638 15.18581 15.62604 16.80248 17.76820 18.56428 18.64510 18.67004 18.01083 17.21926 16.40798 16.25000 15.85248 15.66301 14.85632 14.33566 14.17769 13.98195 13.97074 14.31025 14.79374 14.67833 14.91359 14.50553 13.25813 11.98898 10.68089 9.36976 8.17458 7.53696 7.39220 7.24249 8.37004 9.63552 11.31961 13.29505 15.61644 15.90004 16.31171 16.75824 17.32403 17.90192 17.87640 17.88177 17.82764 18.25965 18.46318 18.87171 19.55080 20.04722 20.49243 20.93602 21.16769 21.12135 20.65217 20.70725 20.71029 20.42766 20.82744 21.58155 21.30066 21.71636 20.77059 20.51040 20.20785 19.85294 18.88736 18.69565 17.31343 17.19682 16.83570 16.44407 18.11224 18.14882 18.05556 19.34307 18.38235 16.70823 16.37931 16.91729 16.10577 16.94313 15.87500 16.33416 16.04478 16.39151 15.65421 18.36493 18.88112 18.70748 20.94595 20.13129 18.77828 19.07895 19.80728 18.54305 18.84368 18.53814 17.19682 16.99411 15.77540 14.28571 12.63158 11.51468 10.03063 10.21341 9.51705 9.03361 8.54993 8.48930 9.32203 9.02256 10.14493 13.16726 14.79592 16.05005 18.70144 20.03222 21.21535 21.58730 22.49737 22.40854 23.12753 23.27327 22.56208 22.85714 
14.61368 14.98127 15.38462 15.25219 16.47425 17.39508 18.23079 18.41004 18.51192 18.11741 17.27647 16.83116 16.79054 16.48510 16.20433 15.72256 15.33175 15.36616 15.71343 15.94800 15.74197 15.85041 15.57800 15.20468 14.65517 13.61429 12.23872 11.43376 10.25204 9.23969 8.94142 9.13514 9.42712 10.34826 11.66329 13.28635 14.81863 16.54135 16.43768 16.81329 16.89360 17.59287 18.27326 18.54093 18.28546 18.23394 17.94242 17.88148 17.71207 18.22251 18.49967 18.49265 18.44336 18.51363 18.54972 18.51792 18.78086 19.32990 20.21684 20.21378 20.58153 20.03995 19.97245 20.37229 19.70033 19.71925 19.48791 19.18429 18.53312 16.45367 16.82692 14.58733 16.08040 16.97952 18.36555 19.08665 18.96552 19.77330 18.69266 21.04651 17.07317 17.28538 15.02242 15.35714 15.73427 13.79310 15.33477 15.63169 16.85268 18.00000 19.21397 19.79405 21.01124 18.98876 18.62745 18.60465 19.51220 18.51485 17.31518 17.85714 17.01721 14.78261 14.64471 13.66782 11.41479 11.00478 10.68376 9.45378 8.52820 8.25566 8.62745 8.81226 10.16209 10.46931 12.32143 14.72603 15.48528 18.50170 19.77124 20.63158 20.52740 21.59209 22.96073 24.07035 24.25150 23.34145 23.39146 
14.77636 15.06461 15.30929 15.53992 16.18962 16.97647 17.63203 17.72420 17.72205 17.55473 17.15116 17.03371 16.91790 16.93959 16.95700 16.47115 16.25632 16.48711 16.53114 16.93750 16.87724 16.76885 16.35453 15.90320 15.25114 14.27264 13.14676 12.06339 11.22631 10.37337 10.30928 10.67808 11.20954 12.31971 13.41679 14.59546 15.92542 16.87574 16.76647 16.80429 16.80429 17.47133 17.79617 17.69016 17.38335 17.02215 16.45519 15.90080 15.75196 15.93323 15.79703 15.76677 15.64885 15.53619 15.80926 16.50158 16.70157 17.78929 18.58470 18.51952 18.86051 19.07336 20.23011 19.44444 19.85731 20.04373 19.48357 19.37023 19.10891 17.09486 15.88235 15.25097 17.35880 18.60465 18.58108 19.93243 19.64706 20.29703 20.20785 20.00000 17.77494 18.50000 15.90909 14.00000 13.85542 14.19355 14.87342 16.12903 16.15044 16.01307 17.99569 19.10755 18.45638 18.17156 16.70330 16.02564 17.24490 15.77381 16.79842 16.11969 15.96154 14.75265 13.56383 12.30088 12.12871 10.79545 10.26201 10.11315 9.79167 9.31174 9.50798 9.28571 9.96169 10.71429 12.77916 12.32143 15.48975 16.09808 18.68635 19.04255 20.00000 20.88866 22.55319 23.04440 23.12961 23.58767 23.49043 
16.60121 16.85527 17.15040 17.57576 18.03209 18.42105 18.78520 18.56192 18.33333 17.81377 17.18750 16.80000 16.87383 17.25186 17.27213 17.08289 16.88679 16.63701 16.34596 16.04077 16.22459 16.62500 16.83787 16.81736 16.66667 15.74163 14.42153 13.46774 12.50000 11.46741 11.58962 12.33503 12.88412 14.23724 15.24339 16.30115 16.82838 17.42739 17.18940 17.02241 16.72110 16.81828 16.86667 16.32847 15.54693 14.82286 13.85426 12.88363 12.23324 11.94823 11.78129 11.61017 11.58015 11.62791 12.59367 13.69644 14.61820 15.74127 17.04708 17.50405 17.92699 18.28704 18.40580 19.22646 20.00000 20.32457 21.57360 18.96552 19.30380 17.70186 16.60482 15.95745 17.17850 18.92655 18.36158 20.28302 19.11765 19.24686 20.68528 21.38965 19.84925 19.84925 18.68932 15.94037 15.28384 13.66667 13.85928 15.55324 16.05603 18.47134 17.99163 19.33333 19.40789 18.15068 17.26058 16.55844 15.80000 14.68872 14.06534 14.99102 13.03571 13.52041 12.50000 11.59794 10.34483 10.64356 9.90566 9.78428 9.00901 8.89527 8.53315 8.82759 8.76963 9.57854 10.77189 11.45717 13.06210 14.15547 14.77064 15.80773 18.26923 19.35634 21.16426 21.89507 23.00647 23.30317 22.93404 
18.92100 19.54476 19.34046 19.40473 19.63216 19.81656 19.91859 19.26395 18.57945 17.83497 17.31004 16.55101 17.06186 17.68868 18.11532 17.82407 17.51489 16.98592 16.26448 15.37074 15.58476 15.68255 15.94924 16.09561 16.19122 16.01371 15.02664 14.21710 13.28821 12.56600 12.43663 13.22445 13.52843 14.47368 15.19622 16.05023 16.67118 17.39650 17.36813 17.16753 17.18424 17.33207 17.59379 17.21728 16.71214 15.97666 14.82759 13.83197 13.22997 13.13358 12.97368 12.86632 12.85240 13.00690 13.78951 14.64006 15.47720 16.03332 17.14286 17.74799 18.42105 18.96552 19.24290 20.53232 19.66292 20.00000 19.73214 20.00000 17.63485 18.07851 18.21192 17.76596 19.37355 21.87500 22.30769 21.91489 21.22845 21.78899 19.58042 19.77330 18.17073 20.15306 18.56061 16.11842 16.24204 16.51481 16.26638 16.10879 15.90909 17.54202 18.56846 16.04396 16.12903 15.54054 14.22319 14.34690 13.53755 13.00578 12.23022 12.83422 12.83422 12.75338 11.86441 11.91710 10.88040 10.47297 10.30844 9.98403 8.25472 8.72180 8.62832 8.55513 8.16327 8.51064 8.79518 8.82009 9.19865 10.12270 10.72835 12.81915 14.67890 17.53953 19.15888 21.05978 21.98492 22.34848 23.04385 
19.03077 19.38032 19.48013 19.41918 19.59518 19.55549 19.79508 19.02439 18.64589 17.85172 17.36805 16.92066 17.76183 18.70725 19.13937 18.64151 18.24974 17.49065 16.36279 15.11125 14.90724 14.47300 14.41193 14.97211 15.50000 15.32641 15.25480 14.87805 14.14159 13.70802 13.49580 13.72549 13.82415 14.50828 15.15435 15.72337 16.31016 17.06569 17.35798 17.53343 17.63422 18.22941 18.57883 18.61862 18.56387 18.38584 17.14573 15.94549 15.36267 15.01815 15.18786 14.76204 14.53744 14.61405 15.37217 15.71429 16.10852 16.82099 17.64706 18.10657 18.73426 19.51687 19.68254 20.63492 20.79646 20.83333 19.26692 18.60465 17.48927 18.58974 19.02552 20.67416 21.30751 21.55756 23.47162 21.85567 21.81818 21.57895 22.40260 19.86456 19.17808 19.04177 19.38776 16.89189 16.47856 15.35714 18.62069 18.09211 16.33333 17.51592 15.74074 15.63169 13.73967 12.95181 12.20472 10.43643 11.80812 11.35135 13.17204 12.76408 12.82953 12.38872 12.16814 12.72455 10.55046 10.98131 10.37736 9.60630 8.92019 8.16733 7.64249 8.53503 8.04455 7.60870 6.91106 6.78867 7.87309 7.96875 8.95062 10.89109 12.17672 15.31250 17.32102 19.53299 20.25617 20.59099 20.86431 
18.75385 18.81818 19.10314 19.23077 19.20300 19.42568 19.39759 18.60927 18.27604 17.84627 17.69176 17.67530 18.45107 19.43574 20.00621 19.85998 19.77055 19.25489 18.38422 17.41645 16.48890 15.25842 14.52421 14.16516 13.87366 13.69245 13.71942 13.70482 13.65613 13.43712 13.47118 13.24893 13.41463 14.27813 14.87369 15.56208 16.63849 17.30449 17.78017 18.19919 18.45699 19.10377 19.63549 19.89498 19.74790 20.00000 19.18403 18.63905 18.17693 17.65964 17.39130 17.11834 16.74087 16.93476 17.46188 17.94671 18.31228 18.64952 19.19068 19.80634 19.97878 21.11399 20.44837 22.15412 22.15569 20.58824 19.50355 19.63855 17.64706 18.97810 19.23077 18.84876 21.73913 22.69585 22.01735 21.09208 20.61856 19.56522 18.61111 17.77567 18.70301 18.73747 17.72152 15.71429 16.39723 17.16590 17.61364 16.48590 15.52795 14.41176 13.62782 13.05263 12.11813 11.27049 11.08911 10.97087 10.43956 11.16071 11.90476 12.62976 11.67513 12.21548 12.76006 11.98061 11.13445 11.33144 10.08584 9.72424 9.52381 9.19255 8.34348 8.19378 7.93743 7.88262 6.79443 5.88235 6.81004 6.00882 7.46014 8.97114 11.30877 13.09963 14.42741 17.18346 17.79935 17.93535 18.69835 
16.90712 17.11658 17.70925 18.27426 18.54494 18.85452 18.95567 18.67114 18.27458 18.42105 18.65994 19.02615 19.64322 20.32374 20.56995 21.09167 21.57807 21.38885 20.68724 19.97676 18.24335 16.51765 14.98960 13.77878 12.42236 12.36880 12.55105 12.75831 12.81398 12.70460 12.88469 13.20550 13.51504 14.12674 15.05393 15.69076 17.06649 18.20839 18.83933 19.38233 20.06466 20.76588 21.45071 21.51579 21.43408 21.20607 20.77387 20.10589 19.77291 19.74269 19.22055 19.26592 19.34763 19.16616 19.75372 20.16667 20.36474 20.61770 21.06409 21.24853 22.13687 22.38176 22.63648 25.69686 23.70518 21.79204 20.00000 20.52897 17.25888 17.72152 18.82641 18.42105 18.40102 19.05340 20.00000 17.40576 20.19027 18.69835 17.81915 16.75532 17.35751 18.03279 16.95906 16.59664 13.83929 13.87615 16.16279 14.44695 14.95633 14.34426 12.20930 11.37339 10.18519 9.50920 8.23529 10.32819 10.65574 11.56584 11.78510 11.24161 12.31648 11.75214 12.24209 12.45829 11.84211 11.63557 10.72961 10.21739 9.94595 8.78594 8.51735 8.50731 8.16430 7.94534 7.65487 6.77966 8.32335 7.75194 9.09091 9.95056 11.71053 12.45161 15.37102 15.56551 16.48746 16.87429 16.53972 
15.71936 15.91307 16.36810 17.06270 17.32883 18.08511 18.41892 18.63164 18.59548 18.91926 19.04308 19.43825 19.92132 20.20456 20.53351 21.09091 21.52185 21.52637 21.29380 20.88961 19.63679 18.33650 16.98312 15.46171 13.62655 12.72326 12.48485 11.83665 12.14215 12.50000 12.61433 13.33003 14.25112 15.43992 15.90276 17.50675 18.83297 19.98257 21.18964 21.93166 22.36154 23.01173 23.40764 23.14935 22.35640 21.80373 20.81761 19.85630 19.34783 19.83643 20.16374 20.37893 20.92335 21.27958 21.48760 22.17007 22.32472 23.02632 23.32521 24.43276 24.91992 26.20846 26.63934 30.01730 27.75551 27.83726 25.06112 21.12676 19.41032 18.45966 14.90148 16.30435 15.53030 16.70732 15.81395 17.85714 18.26923 17.16738 16.32653 13.46535 15.09615 14.25781 14.21162 13.51351 12.41611 12.58741 9.97596 10.60241 10.54502 11.72414 9.50324 8.76623 8.41889 7.94393 8.17052 9.67466 10.44248 10.76923 11.40065 11.44860 11.15269 11.91155 11.88525 11.67315 12.68939 12.46246 12.79070 11.25954 11.14570 11.24324 10.72555 10.61525 10.59216 10.84788 10.98901 10.44944 10.79545 11.28472 12.20472 11.21324 12.70950 13.13920 13.70321 14.04639 13.50806 15.50000 14.28571 
16.14045 15.60232 15.65642 15.49575 16.02349 17.07015 18.15597 18.77338 19.22468 19.42308 19.61392 19.62658 19.91439 20.09948 20.20933 20.79553 21.11011 21.33581 21.42973 21.40733 20.69079 19.82873 18.74286 16.85068 14.63572 13.53864 12.70254 11.94888 12.17475 12.15980 12.73637 14.10543 15.14050 16.17339 17.31040 18.40434 19.88979 21.36691 22.25358 23.08824 23.52340 23.52791 23.40497 22.91631 22.07942 21.23995 20.36093 19.24182 18.80000 19.98270 20.67085 21.91136 22.47087 23.20981 23.87226 24.39791 24.55197 24.82347 24.83098 25.85644 26.74772 28.20069 29.32285 30.84180 32.08191 29.67033 29.22078 26.09170 22.50000 18.91566 18.70229 15.41353 16.62198 15.02591 15.67164 16.57609 15.71429 15.72482 14.76293 13.90041 13.98810 14.05941 12.57669 11.97605 10.99366 10.40268 8.35294 9.05797 7.40291 8.13107 6.14251 6.59722 7.70925 8.57988 7.54190 9.35829 8.10811 10.17241 9.04685 10.29412 10.89838 11.29707 11.51316 13.15136 12.94118 12.41497 12.02532 12.54218 12.50000 12.77675 13.33038 12.91161 12.82823 13.25696 13.73524 14.92633 14.39466 13.55292 13.94052 14.64578 13.29011 12.73526 14.06250 13.51351 13.10559 12.58542 11.93353 
16.37548 15.83163 15.55396 15.05392 15.50420 16.80939 17.85423 18.46980 18.68219 18.83571 18.75761 18.57898 19.14348 19.62196 20.38937 20.49505 20.82695 20.93656 20.48101 20.11988 19.35125 18.57814 17.65762 16.64593 15.67910 15.13853 14.54477 13.95828 13.48624 13.01699 13.24208 14.36277 15.52115 16.83913 17.85714 19.38351 20.86643 22.06830 22.89331 23.39940 23.56807 23.15313 22.79189 22.18009 21.26589 20.12835 19.39678 18.52552 18.57673 19.84482 21.12069 22.39549 23.77944 24.69591 24.96016 25.89413 25.56976 25.70211 25.79787 26.79659 27.62812 28.55603 29.91543 31.47700 32.16981 32.52595 33.31015 29.61672 25.49801 23.39744 21.14165 19.93534 17.91045 17.56757 18.34532 16.26794 15.51724 14.92205 14.16490 14.32927 13.39286 12.71676 10.88235 10.29412 8.87097 8.20734 6.80272 7.74648 5.35714 5.29557 5.83756 4.88998 8.47255 6.40244 6.85328 7.49543 6.84615 7.83309 7.03022 7.56824 8.49941 10.31553 11.04119 11.86441 13.13559 13.35312 13.71380 14.08115 14.54139 15.36977 15.43399 15.41492 15.91256 16.67530 17.19343 18.09145 18.27911 17.66990 17.50842 15.79268 15.48673 13.94708 13.71257 11.34615 10.78680 9.12201 9.31707 
16.97494 16.58830 15.86957 15.17704 15.10842 16.54646 17.56757 18.13409 17.89976 17.90734 17.70549 17.20085 17.75057 18.97906 19.87979 20.32463 20.68182 20.70752 20.26193 19.58998 18.72221 17.93592 17.03516 16.65968 16.26102 16.02876 15.64103 15.27818 14.37314 13.81733 13.65493 14.64156 15.53672 16.62733 17.69543 18.62027 19.71921 20.65714 21.02754 21.27660 21.43764 20.88515 20.20126 19.59548 18.70400 17.59017 17.41170 17.50433 18.04681 19.64401 20.94665 21.98492 23.03742 24.04950 24.26778 25.43624 25.37545 25.25000 24.54486 25.61416 26.12879 27.17391 28.73204 30.45240 31.16279 32.32143 34.50502 33.54978 30.57922 29.08922 26.83616 24.05567 22.97571 20.73922 19.19918 18.10345 16.66667 16.29555 14.31335 13.93617 13.75000 14.48980 11.74089 9.96016 10.24096 8.31579 8.70968 7.76053 6.84932 5.98592 5.70720 5.77396 7.81250 7.33634 5.97166 6.93642 6.16883 6.41422 5.70055 6.83594 7.97808 8.90411 9.97680 11.20401 12.61491 13.53211 15.20913 15.91376 16.37112 16.64876 17.01691 17.72583 18.24082 18.54167 19.82808 20.12750 21.09929 21.11111 21.30638 18.73747 16.90391 14.11043 13.10624 10.39427 8.46154 6.11511 6.60661 
17.72837 17.55193 16.94469 16.49351 16.05218 16.80567 17.28832 17.12109 16.87286 16.39535 15.79145 15.06340 15.84377 17.42857 19.02522 20.09304 21.27900 22.03187 21.62008 21.16409 20.37064 19.33982 18.26605 17.48351 16.71522 15.90233 15.67164 14.90075 14.60791 14.01617 13.82296 14.61947 15.40569 15.91860 16.77461 17.32604 18.07432 18.46258 18.46229 18.30181 18.17862 17.26106 16.24183 15.29774 14.64746 13.91792 15.09887 16.28085 17.60874 19.02847 20.28547 21.14874 21.59833 22.20854 23.29591 24.46076 24.38642 23.94562 23.08682 23.81930 24.37794 25.22004 27.04403 28.76823 30.76449 32.11268 34.49438 33.80682 35.53719 33.35901 31.51659 26.82513 26.24555 22.32472 21.76806 20.27273 19.05204 18.59756 14.95050 15.78947 14.39560 13.55748 12.50000 11.42857 10.78431 10.97561 9.59184 9.79381 8.75764 9.57895 8.24742 8.35073 7.81250 7.87671 8.20225 8.18030 7.10863 5.90909 5.69715 5.53191 6.49606 8.60710 9.66387 11.21606 11.71548 14.31127 15.71429 17.56098 18.00000 18.36314 19.08967 19.75245 20.40872 20.82094 21.18289 22.49766 21.84192 20.89014 20.08123 18.25397 15.17451 14.14343 11.22600 8.54962 6.52473 4.80519 6.71806 
18.29011 18.51789 18.19253 17.36111 16.91033 16.83560 16.85185 16.63645 16.25557 15.56947 14.86029 14.26380 14.93932 17.13578 19.35755 20.90851 22.64065 23.85584 23.66454 23.42277 22.29950 20.65148 18.66938 17.39609 15.93168 15.07604 14.77306 14.38336 14.48068 14.09168 14.19911 14.78195 15.08140 15.37744 15.86633 16.24266 16.71497 16.92959 17.10501 17.04801 17.06429 16.73579 16.15035 15.66514 15.20746 14.85507 15.96639 17.37152 18.62652 19.88496 21.04661 21.31878 21.63497 21.91283 22.53059 23.25926 23.74794 22.86801 22.53902 22.26974 21.54188 22.90625 24.31431 26.27494 27.80049 29.62428 32.01998 32.21507 33.44051 33.53222 32.27953 30.53016 30.10753 26.04563 24.59184 22.88136 21.68675 19.73392 17.52232 16.00000 16.78082 14.34978 12.33480 12.07675 11.16071 11.89931 11.22449 9.52381 9.41176 7.39437 8.49673 9.12088 7.79221 7.27848 8.66388 9.64467 8.33333 8.29596 7.53012 7.54717 7.31544 9.07258 10.58394 11.46313 12.79880 15.67901 17.53607 18.54494 19.11958 19.42284 19.95012 20.81683 21.96803 21.98113 22.63798 22.40260 21.20591 19.55307 17.70186 15.72700 13.50000 11.96275 10.42654 7.77414 6.40288 3.55649 7.38007 
18.05556 17.92261 17.45236 16.85817 16.57530 16.69284 17.01932 16.68662 16.14461 15.40773 15.42857 15.43529 16.33496 18.82237 20.89962 22.77302 24.57785 26.16896 26.05347 25.74575 24.35820 21.83994 18.63379 16.83417 14.76775 13.53190 13.52283 13.37925 13.74046 14.17832 14.71166 14.60200 14.58720 14.96987 15.09285 15.22172 15.35202 15.40137 15.55948 15.93897 16.18357 16.29675 16.44644 16.41221 16.27006 15.95126 16.96129 18.16527 19.12733 20.16393 21.29272 21.59319 21.58424 21.39024 22.11488 22.50580 22.47014 21.83014 21.28869 20.80745 20.01992 20.83065 22.53363 24.92701 26.24113 27.83784 30.27108 30.63725 32.29554 32.53320 31.41026 30.90062 29.42989 28.42640 26.24309 24.51839 22.93666 19.87179 18.14159 17.49436 16.31944 13.01370 13.95881 11.53846 12.50000 11.42857 12.14623 10.50808 8.66983 6.79724 9.03361 8.50410 9.03614 8.94495 10.04464 11.58324 11.94030 11.52542 10.64560 10.16260 11.08312 10.76618 13.34520 14.50828 16.23754 17.76447 18.75640 19.60613 20.16063 20.49567 21.09922 21.34831 22.59740 22.29167 21.67221 20.20751 18.78025 16.40798 14.65311 11.96099 10.77681 9.67967 8.00866 7.14286 6.34058 6.31769 8.26542 
17.28016 17.11636 16.81063 16.37341 16.20326 16.50031 16.66667 16.38468 15.98610 15.41714 15.95745 16.42718 17.62712 20.21354 22.46771 23.84295 25.18665 26.23725 25.81752 25.25866 23.62664 21.30111 18.46381 17.23958 15.75736 14.83254 14.57119 14.45026 14.65458 14.40678 14.42245 14.44489 14.54034 14.32927 14.27810 14.32591 14.54604 14.73315 15.16944 15.78868 16.34516 16.97938 17.51344 17.77902 17.70050 17.48342 17.70382 18.29910 18.77384 19.67188 20.53571 21.04247 21.68184 21.86459 21.27507 21.64297 21.06900 21.07280 20.87280 19.79671 20.11662 20.89768 21.78218 24.28991 25.15528 26.71642 27.54011 28.91429 29.42643 29.49062 30.04386 29.23795 27.56098 27.54011 26.67323 24.95088 23.22581 19.93318 18.54839 16.31206 14.15313 13.10905 13.19444 13.53383 14.30380 12.41379 12.07289 10.82589 8.89930 8.37156 9.35484 7.36196 9.27734 10.85859 11.00478 12.96296 13.85542 12.94350 12.92346 12.12687 13.36406 14.48649 15.08244 17.27273 18.88112 19.63947 20.35750 20.93426 21.17061 21.59549 21.90722 22.09026 22.13494 21.38599 19.72851 17.71949 15.32427 12.72618 10.53616 8.92116 7.84730 7.86736 7.22581 6.89207 7.09642 6.93231 8.44828 
16.28814 16.25880 16.26486 16.40194 16.30124 16.06756 16.09682 15.62224 15.84073 15.74770 16.70899 17.29272 18.55649 21.36158 23.80809 24.87670 25.27979 25.64987 24.83117 23.84004 22.29034 20.45199 18.21094 17.61364 17.06671 16.40429 16.14029 15.66445 15.10365 14.28334 14.23679 14.20168 14.20863 14.21264 13.92949 13.90711 14.12894 14.39689 14.91121 15.55637 16.25314 17.20846 17.89705 18.40338 18.34231 18.32695 18.39623 18.40311 18.45780 19.29424 19.89478 20.63075 21.16317 21.30996 21.55309 21.17040 21.04779 20.74431 19.93464 20.48128 19.86828 20.77268 21.92982 22.74326 23.72263 24.97143 25.45126 26.66248 26.43142 26.84136 27.43161 27.25806 25.79035 26.04356 24.36149 22.80702 21.33758 19.07895 15.64626 14.84919 14.22018 15.30374 13.90187 13.63636 14.79592 12.06497 11.81193 10.72235 8.51064 7.78032 7.82241 8.73494 10.95506 11.43533 11.29738 13.65884 14.33692 15.18171 14.50893 14.33333 15.72795 16.96429 17.83808 20.12658 21.54236 21.92073 22.29690 22.14061 22.43455 22.70594 22.61972 22.19512 21.73030 20.58347 17.57925 15.59020 12.50000 9.91686 7.91925 6.40625 5.67118 5.10817 6.55542 6.35392 6.25000 5.80205 7.01220 
15.58288 15.80441 15.92702 16.45692 16.96203 16.64608 16.16983 15.91309 16.43777 16.61560 17.25753 18.07929 19.14232 21.83112 24.36777 25.15889 25.21488 25.19412 24.42787 23.52814 22.42120 21.31801 19.86353 19.61224 18.97482 18.56837 17.22764 16.38607 15.41850 14.56828 13.85891 14.54984 14.89617 14.87965 14.76124 14.67833 14.72930 14.74002 15.01332 15.39195 15.70418 16.56940 17.27720 17.94653 18.31606 18.74394 18.90595 18.93974 19.18429 19.41131 19.75494 20.44583 20.91503 21.52480 21.84725 22.32824 21.89389 20.67767 19.56324 19.83769 19.44186 19.10920 20.26144 20.30033 20.55427 21.57191 21.65493 22.57463 22.76316 21.93948 22.10526 23.38262 21.45631 19.93865 20.85153 19.34066 17.01389 17.39130 14.87119 14.45498 15.41096 14.15313 12.77108 12.68116 12.04380 12.58741 10.67285 10.02278 9.18367 9.69163 9.50000 9.58254 12.03540 13.12709 14.25234 14.04255 15.22911 15.45925 15.60881 16.68782 17.17877 18.77178 20.35294 21.55172 22.07988 22.97571 23.30990 23.18436 23.32242 23.56902 22.53521 22.56532 21.47407 19.09414 16.37666 14.04817 12.05788 8.33333 6.92921 5.46177 4.83712 4.28894 4.20354 3.87168 5.21921 5.54371 5.00000 
14.83903 15.63020 16.09892 16.98265 17.95841 17.41538 16.94227 16.89169 17.27741 17.86014 18.32012 18.82312 19.48782 22.26525 24.62766 25.44259 25.22281 24.97136 24.27398 23.39979 22.66396 22.09887 21.11582 20.83958 20.48541 19.77578 18.55952 17.41336 16.34948 15.43726 14.28571 15.31570 15.69359 15.75955 15.55384 15.59491 15.44613 15.35033 15.36138 15.61350 15.77778 16.38241 17.07111 17.55235 18.07874 18.61396 19.06293 19.35805 19.60315 19.73913 20.34108 20.74792 20.92221 21.33286 21.40912 21.84076 20.87490 20.05929 18.09816 18.23708 16.68388 16.64894 17.21014 17.95031 18.32902 17.93750 18.66841 17.85714 18.26087 17.50000 16.85714 17.30000 16.39004 17.53247 16.55405 16.44295 15.19722 16.06335 13.35616 13.70968 14.15929 13.49558 12.75626 12.07289 12.50000 10.49107 10.89888 10.42129 10.08869 10.23707 10.63618 11.00569 12.23404 14.03061 14.83254 15.56671 15.73705 16.91729 16.78832 17.68433 18.55841 20.13730 20.71918 21.52778 22.39011 22.78030 23.75615 23.77622 24.11305 24.59599 24.08602 22.90925 20.36290 18.48739 15.46304 13.15307 9.99120 8.11060 6.41144 4.91728 4.32999 4.04101 3.95683 3.06346 3.07355 3.58744 2.97203 
14.99498 15.93843 16.58489 17.16945 17.52675 17.44760 17.29085 17.46667 17.91304 18.00908 18.88947 19.48006 20.10726 22.84396 24.97355 25.81280 25.94395 25.96192 25.27166 24.56618 23.67952 22.61236 21.50037 20.76000 20.42814 19.83093 19.43903 19.07336 18.40539 17.24428 16.49104 16.58768 17.28142 16.79637 16.36881 16.32428 16.14078 16.38544 16.31760 16.28674 16.30129 16.60388 16.81734 17.30396 17.70729 18.47345 18.84793 19.27671 19.77415 20.57206 21.45904 21.64723 21.28236 20.88175 21.14504 21.06788 19.27083 17.96785 15.72438 14.77419 14.55614 15.20000 14.76190 14.74878 15.63545 15.85366 16.18644 15.89698 13.54360 14.17476 13.07252 11.24260 11.76471 11.36821 11.64241 12.24944 13.36406 13.79310 12.41379 12.50000 13.09255 13.68778 11.68831 12.09150 10.38961 9.40803 9.55414 9.43396 8.90000 9.57031 9.65704 10.66434 12.43655 13.02983 14.77273 15.97222 15.87983 17.46753 17.28571 18.05195 18.20858 19.65909 20.35124 20.66456 20.93968 21.38329 21.61473 21.55620 21.69611 21.43408 20.87629 19.38309 17.83877 14.98054 13.14655 10.77189 9.07554 7.80142 6.88976 6.00394 5.59883 3.93401 2.93750 2.35092 1.31429 2.42215 2.09790 
15.59587 16.63366 17.47636 17.15749 16.88617 17.36111 17.85714 18.24425 18.26839 18.75719 19.34614 20.19889 21.00667 23.61278 25.63731 26.64255 26.82182 26.99257 26.35738 25.44416 24.46116 23.24643 21.66158 21.05672 20.29412 19.91465 20.07241 19.76601 19.51736 18.81932 18.38590 17.86198 18.17539 17.81293 16.75567 16.17100 16.10405 16.04452 16.04122 16.46693 16.71046 17.09330 17.46735 17.87589 18.00742 18.08673 18.54660 19.29245 19.94449 20.59621 21.50883 21.72435 21.52392 21.16129 20.32967 19.03974 17.55319 16.95187 14.12681 13.27649 12.22494 12.87129 13.32808 13.09524 13.44086 13.52657 12.62542 12.18274 10.98418 9.76277 9.56790 8.68644 8.95062 8.49057 9.46809 10.61269 9.78022 10.52632 10.52632 9.26724 10.72165 9.47581 10.12270 9.91903 9.33735 8.28402 8.67052 8.46154 8.83978 9.43739 9.48718 8.79397 10.76159 11.60572 13.59447 14.51104 14.84716 17.35751 17.04963 17.94454 17.59623 18.50421 18.83495 18.91478 18.76076 18.66197 18.86458 18.70370 18.41501 17.93015 16.38655 15.41292 13.85379 11.62437 9.27152 8.19378 7.45192 5.79151 5.68182 6.96126 7.32293 5.87121 4.37192 3.34448 1.94013 2.51917 2.78373 
15.98402 16.85356 17.48286 17.14836 17.03036 17.22533 18.07634 18.86623 19.19326 19.40789 20.48294 21.79601 22.97715 25.39899 27.18357 28.08053 28.31675 28.57441 27.64531 26.32847 25.02931 23.75629 21.97871 21.23904 20.76310 20.07102 20.07015 20.12397 19.94863 19.93197 19.93056 19.59459 19.09204 17.93612 17.18550 15.82749 15.26447 14.80165 14.82234 16.11699 17.03672 17.91312 18.49716 18.81238 18.33197 17.98224 18.47769 19.25016 20.08723 20.68750 21.72070 21.82030 21.77849 21.36249 20.17982 18.93593 16.02003 14.87889 12.77641 12.50000 11.24498 11.08871 12.75685 13.59725 12.36842 11.86007 9.59507 8.94737 7.57299 6.69811 7.55319 6.72451 6.78497 7.00637 5.41401 7.60870 7.98687 8.20734 7.14286 8.45666 6.47059 7.47126 7.59615 7.86517 7.61468 7.29537 8.53873 8.30592 8.66337 8.79934 9.25926 8.86767 9.91736 10.19971 10.71429 12.38532 13.83738 15.00000 16.62269 16.70507 16.56956 16.77588 16.04824 15.26419 15.30418 15.15957 15.00904 14.11802 13.55140 13.06604 12.35060 11.32231 10.38961 10.00923 8.57681 8.34181 8.03109 7.40950 8.09578 7.03704 6.40205 4.85437 4.16667 3.47395 2.06561 2.90698 3.90969