# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.03926991 3.50343384 0.78689879 0.78800591 0.78887319 0.78394748 0.11780972 3.74114786 0.82019652 0.82079746 0.81898469 0.82078441 0.19634954 3.61134500 0.77762173 0.77780965 0.77550042 0.77947596 0.27488936 3.45169331 0.73107940 0.73113530 0.72888866 0.73314008 0.35342917 3.31036798 0.69001536 0.69002479 0.68801185 0.69191511 0.43196899 3.19337786 0.65530605 0.65530660 0.65355949 0.65694283 0.51050881 3.09650405 0.62573022 0.62576055 0.62426403 0.62709987 0.58904862 3.01534943 0.60022984 0.60028663 0.59900995 0.60136062 0.66758844 2.94630185 0.57793766 0.57801295 0.57692378 0.57886665 0.74612826 2.88672362 0.55821877 0.55829277 0.55736047 0.55898198 0.82466807 2.83420836 0.54048427 0.54055335 0.53975181 0.54111239 0.90320789 2.78748340 0.52441641 0.52449101 0.52379796 0.52493536 0.98174770 2.74515130 0.50967843 0.50975364 0.50915127 0.51010960 1.06028752 2.70632894 0.49605450 0.49612904 0.49560280 0.49641478 1.13882734 2.67032336 0.48336022 0.48343988 0.48297786 0.48366305 1.21736715 2.63678765 0.47151207 0.47158408 0.47117632 0.47176857 1.29590697 2.60534395 0.46040216 0.46047073 0.46010906 0.46062104 1.37444679 2.57562568 0.44992674 0.44999082 0.44966841 0.45011473 1.45298660 2.54733928 0.44000679 0.44006381 0.43977524 0.44016960 1.53152642 2.52022575 0.43056001 0.43061446 0.43035523 0.43070192 1.61006623 2.49427906 0.42158825 0.42163773 0.42140402 0.42171289 1.68860605 2.46929987 0.41302670 0.41307135 0.41285994 0.41313694 1.76714587 2.44515782 0.40483702 0.40487676 0.40468509 0.40493505 1.84568568 2.42192738 0.39702375 0.39706025 0.39688594 0.39711160 1.92422550 2.39929146 0.38949806 0.38953207 0.38937327 0.38957712 2.00276532 2.37735156 0.38227712 0.38230980 0.38216481 0.38234869 2.08130513 2.35611550 0.37535734 0.37538737 0.37525466 0.37542247 2.15984495 2.33533438 0.36866608 0.36869316 0.36857147 0.36872563 2.23838477 2.31512059 0.36223169 0.36225720 0.36214555 0.36228632 2.31692458 2.29541499 0.35602644 0.35605031 0.35594771 0.35607669 2.39546440 2.27619444 0.35003874 0.35005937 0.34996496 0.35008517 2.47400421 2.25737217 0.34423999 0.34425915 0.34417223 0.34428302 2.55254403 2.23893485 0.33862274 0.33864003 0.33855990 0.33866277 2.63108385 2.22085084 0.33317418 0.33318968 0.33311580 0.33321151 2.70962366 2.20317121 0.32790133 0.32791636 0.32784817 0.32793623 2.78816348 2.18588139 0.32280023 0.32281434 0.32275141 0.32283284 2.86670330 2.16903730 0.31787903 0.31789206 0.31783395 0.31790958 2.94524311 2.15259817 0.31312493 0.31313592 0.31308228 0.31315357 3.02378293 2.13637115 0.30847717 0.30848554 0.30843604 0.30850407 3.10232275 2.12040406 0.30394695 0.30395390 0.30390821 0.30397228 3.18086256 2.10475548 0.29955006 0.29955627 0.29951413 0.29957393 3.25940238 2.08951507 0.29530649 0.29531280 0.29527393 0.29532896 3.33794219 2.07452363 0.29116969 0.29117613 0.29114031 0.29119084 3.41648201 2.05974821 0.28712825 0.28713416 0.28710117 0.28714818 3.49502183 2.04525522 0.28319855 0.28320384 0.28317348 0.28321734 3.57356164 2.03110468 0.27939474 0.27939920 0.27937132 0.27941248 3.65210146 2.01723560 0.27569784 0.27570142 0.27567582 0.27571462 3.73064128 2.00358391 0.27208836 0.27209134 0.27206787 0.27210422 3.80918109 1.99014019 0.26856290 0.26856600 0.26854453 0.26857786 3.88772091 1.97694183 0.26512997 0.26513330 0.26511372 0.26514408 3.96626073 1.96395100 0.26177747 0.26178038 0.26176256 0.26179077 4.04480054 1.95116543 0.25850401 0.25850618 0.25849003 0.25851657 4.12334036 1.93862024 0.25531660 0.25531785 0.25530328 0.25532845 4.20188017 1.92626957 0.25220117 0.25220161 0.25218850 0.25221237 4.28041999 1.91409175 0.24915041 0.24915038 0.24913865 0.24916099 4.35895981 1.90218526 0.24619096 0.24619046 0.24618002 0.24620095 4.43749962 1.89049794 0.24330788 0.24330712 0.24329790 0.24331730 4.51603944 1.87899554 0.24048917 0.24048819 0.24048011 0.24049805 4.59457926 1.86766541 0.23773072 0.23772934 0.23772233 0.23773908 4.67311907 1.85649244 0.23502939 0.23502758 0.23502161 0.23503727 4.75165889 1.84546112 0.23238021 0.23237807 0.23237308 0.23238762 4.83019870 1.83462781 0.22979610 0.22979378 0.22978970 0.22980308 4.90873852 1.82395125 0.22726500 0.22726245 0.22725923 0.22727157 4.98727834 1.81342582 0.22478494 0.22478233 0.22477992 0.22479111 5.06581815 1.80309066 0.22236592 0.22236325 0.22236160 0.22237172 5.14435797 1.79293800 0.22000521 0.22000233 0.22000141 0.22001066 5.22289779 1.78293905 0.21769418 0.21769117 0.21769093 0.21769928 5.30143760 1.77309863 0.21543367 0.21543063 0.21543104 0.21543846 5.37997742 1.76340490 0.21322088 0.21321780 0.21321882 0.21322536 5.45851724 1.75387210 0.21105887 0.21105574 0.21105734 0.21106306 5.53705705 1.74446705 0.20893801 0.20893488 0.20893703 0.20894191 5.61559687 1.73513761 0.20684401 0.20684083 0.20684351 0.20684764 5.69413668 1.72595020 0.20479397 0.20479058 0.20479376 0.20479736 5.77267650 1.71690254 0.20278704 0.20278339 0.20278705 0.20279020 5.85121632 1.70796662 0.20081556 0.20081174 0.20081585 0.20081848 5.92975613 1.69913744 0.19887806 0.19887414 0.19887868 0.19888077 6.00829595 1.69042973 0.19697828 0.19697429 0.19697925 0.19698077 6.08683577 1.68186262 0.19512055 0.19511660 0.19512196 0.19512284 6.16537558 1.67343299 0.19330329 0.19329941 0.19330515 0.19330538 6.24391540 1.66512178 0.19152123 0.19151736 0.19152345 0.19152314 6.32245522 1.65692209 0.18977225 0.18976833 0.18977474 0.18977399 6.40099503 1.64879707 0.18804666 0.18804269 0.18804942 0.18804823 6.47953485 1.64072729 0.18633950 0.18633551 0.18634253 0.18634093 6.55807466 1.63275293 0.18466126 0.18465716 0.18466446 0.18466255 6.63661448 1.62492193 0.18302376 0.18301945 0.18302703 0.18302492 6.71515430 1.61723345 0.18142619 0.18142167 0.18142951 0.18142723 6.79369411 1.60964659 0.17985797 0.17985332 0.17986142 0.17985888 6.87223393 1.60213423 0.17831198 0.17830731 0.17831565 0.17831276 6.95077375 1.59469680 0.17678815 0.17678349 0.17679206 0.17678882 7.02931356 1.58733937 0.17528762 0.17528295 0.17529174 0.17528818 7.10785338 1.58005815 0.17380921 0.17380453 0.17381352 0.17380967 7.18639320 1.57285356 0.17235281 0.17234813 0.17235732 0.17235317 7.26493301 1.56572386 0.17091802 0.17091335 0.17092272 0.17091829 7.34347283 1.55868420 0.16950877 0.16950408 0.16951363 0.16950895 7.42201264 1.55174626 0.16812760 0.16812286 0.16813258 0.16812769 7.50055246 1.54488098 0.16676664 0.16676180 0.16677169 0.16676667 7.57909228 1.53808645 0.16542545 0.16542052 0.16543057 0.16542539 7.65763209 1.53139460 0.16411223 0.16410729 0.16411749 0.16411210 7.73617191 1.52480069 0.16282562 0.16282068 0.16283102 0.16282543 7.81471173 1.51827715 0.16155855 0.16155358 0.16156405 0.16155830 7.89325154 1.51182102 0.16031019 0.16030515 0.16031575 0.16030989 7.97179136 1.50543501 0.15908093 0.15907580 0.15908652 0.15908058 8.05033117 1.49910343 0.15786648 0.15786126 0.15787210 0.15786607 8.12887099 1.49282508 0.15666645 0.15666116 0.15667211 0.15666598 8.20741081 1.48662287 0.15548673 0.15548140 0.15549247 0.15548621 8.28595062 1.48050919 0.15433061 0.15432525 0.15433643 0.15433003 8.36449044 1.47446545 0.15319334 0.15318797 0.15319925 0.15319272 8.44303026 1.46847544 0.15207062 0.15206523 0.15207661 0.15206995 8.52157007 1.46254882 0.15096460 0.15095920 0.15097067 0.15096390 8.60010989 1.45669013 0.14987631 0.14987089 0.14988243 0.14987557 8.67864971 1.45087298 0.14879912 0.14879367 0.14880529 0.14879835 8.75718952 1.44507116 0.14772649 0.14772102 0.14773272 0.14772568 8.83572934 1.43930860 0.14666436 0.14665890 0.14667068 0.14666352 8.91426915 1.43363645 0.14562540 0.14561997 0.14563181 0.14562453 8.99280897 1.42806132 0.14461118 0.14460576 0.14461767 0.14461028 9.07134879 1.42253746 0.14361030 0.14360488 0.14361685 0.14360937 9.14988860 1.41703319 0.14261493 0.14260949 0.14262152 0.14261397 9.22842842 1.41156687 0.14162964 0.14162418 0.14163627 0.14162866 9.30696824 1.40616988 0.14066213 0.14065666 0.14066880 0.14066114 9.38550805 1.40084454 0.13971282 0.13970731 0.13971951 0.13971180 9.46404787 1.39556702 0.13877562 0.13877008 0.13878233 0.13877459 9.54258769 1.39031869 0.13784588 0.13784030 0.13785260 0.13784483 9.62112750 1.38510267 0.13692437 0.13691876 0.13693111 0.13692330 9.69966732 1.37993440 0.13601488 0.13600925 0.13602164 0.13601380 9.77820713 1.37482994 0.13512138 0.13511572 0.13512816 0.13512028 9.85674695 1.36980328 0.13424730 0.13424162 0.13425409 0.13424619 9.93528677 1.36485935 0.13339376 0.13338806 0.13340057 0.13339263 10.01382658 1.35998258 0.13255680 0.13255109 0.13256363 0.13255566 10.09236640 1.35514128 0.13172855 0.13172282 0.13173540 0.13172739 10.17090622 1.35030798 0.13090222 0.13089650 0.13090910 0.13090105 10.24944603 1.34547586 0.13007616 0.13007043 0.13008306 0.13007498 10.32798585 1.34066168 0.12925450 0.12924878 0.12926143 0.12925331 10.40652567 1.33589155 0.12844370 0.12843797 0.12845065 0.12844249 10.48506548 1.33117652 0.12764641 0.12764069 0.12765340 0.12764519 10.56360530 1.32650758 0.12686033 0.12685462 0.12686735 0.12685909 10.64214511 1.32187829 0.12608384 0.12607815 0.12609090 0.12608260 10.72068493 1.31729665 0.12531894 0.12531327 0.12532603 0.12531770 10.79922475 1.31276561 0.12456635 0.12456068 0.12457346 0.12456511 10.87776456 1.30826897 0.12382202 0.12381634 0.12382912 0.12382077 10.95630438 1.30378730 0.12308109 0.12307539 0.12308819 0.12307984 11.03484420 1.29931896 0.12234317 0.12233745 0.12235026 0.12234192 11.11338401 1.29487797 0.12161175 0.12160601 0.12161883 0.12161048 11.19192383 1.29047923 0.12089048 0.12088473 0.12089757 0.12088921 11.27046364 1.28613587 0.12018256 0.12017682 0.12018967 0.12018129 11.34900346 1.28185895 0.11949067 0.11948493 0.11949779 0.11948940 11.42754328 1.27764452 0.11881379 0.11880806 0.11882093 0.11881252 11.50608309 1.27346990 0.11814631 0.11814058 0.11815345 0.11814504 11.58462291 1.26931373 0.11748296 0.11747723 0.11749010 0.11748169 11.66316273 1.26517516 0.11682351 0.11681777 0.11683065 0.11682224 11.74170254 1.26106618 0.11617089 0.11616515 0.11617803 0.11616962 11.82024236 1.25699111 0.11552613 0.11552038 0.11553326 0.11552486 11.89878218 1.25294386 0.11488772 0.11488196 0.11489484 0.11488645 11.97732199 1.24891989 0.11425455 0.11424879 0.11426167 0.11425328 12.05586181 1.24491907 0.11362660 0.11362084 0.11363372 0.11362533 12.13440162 1.24094029 0.11300357 0.11299781 0.11301069 0.11300230 12.21294144 1.23698321 0.11238535 0.11237959 0.11239247 0.11238408 12.29148126 1.23305218 0.11177302 0.11176725 0.11178012 0.11177176 12.37002107 1.22915231 0.11116783 0.11116205 0.11117491 0.11116656 12.44856089 1.22528482 0.11057004 0.11056426 0.11057712 0.11056877 12.52710071 1.22144947 0.10997957 0.10997380 0.10998665 0.10997830 12.60564052 1.21764779 0.10939678 0.10939102 0.10940387 0.10939552 12.68418034 1.21388163 0.10882216 0.10881640 0.10882925 0.10882090 12.76272016 1.21014996 0.10825545 0.10824969 0.10826253 0.10825419 12.84125997 1.20644740 0.10769532 0.10768956 0.10770239 0.10769406 12.91979979 1.20276634 0.10713989 0.10713412 0.10714694 0.10713863 12.99833960 1.19910253 0.10658808 0.10658231 0.10659512 0.10658682 13.07687942 1.19545706 0.10604016 0.10603439 0.10604719 0.10603890 13.15541924 1.19183106 0.10549639 0.10549063 0.10550342 0.10549514 13.23395905 1.18822290 0.10495638 0.10495062 0.10496340 0.10495512 13.31249887 1.18463329 0.10442028 0.10441454 0.10442731 0.10441903 13.39103869 1.18106740 0.10388936 0.10388363 0.10389638 0.10388811 13.46957850 1.17752910 0.10336454 0.10335882 0.10337156 0.10336330 13.54811832 1.17401723 0.10284555 0.10283983 0.10285256 0.10284431 13.62665813 1.17052844 0.10233153 0.10232581 0.10233853 0.10233030 13.70519795 1.16705988 0.10182180 0.10181608 0.10182879 0.10182058 13.78373777 1.16360911 0.10131574 0.10131003 0.10132272 0.10131453 13.86227758 1.16017519 0.10081314 0.10080743 0.10082010 0.10081193 13.94081740 1.15676085 0.10031466 0.10030895 0.10032161 0.10031345 14.01935722 1.15337192 0.09982175 0.09981604 0.09982868 0.09982054 14.09789703 1.15001559 0.09933615 0.09933044 0.09934307 0.09933494 14.17643685 1.14669932 0.09885968 0.09885397 0.09886659 0.09885847 14.25497667 1.14342689 0.09839326 0.09838755 0.09840015 0.09839204 14.33351648 1.14019201 0.09793532 0.09792961 0.09794221 0.09793410 14.41205630 1.13697756 0.09748167 0.09747598 0.09748856 0.09748045 14.49059611 1.13376440 0.09702763 0.09702196 0.09703452 0.09702641 14.56913593 1.13054125 0.09657044 0.09656479 0.09657733 0.09656923 14.64767575 1.12730793 0.09611005 0.09610442 0.09611694 0.09610884 14.72621556 1.12407328 0.09564863 0.09564301 0.09565551 0.09564742 14.80475538 1.12085262 0.09518991 0.09518430 0.09519678 0.09518871 14.88329520 1.11766447 0.09473842 0.09473282 0.09474529 0.09473723 14.96183501 1.11452466 0.09429803 0.09429243 0.09430489 0.09429684 15.04037483 1.11143944 0.09387025 0.09386466 0.09387710 0.09386907 15.11891465 1.10840190 0.09345339 0.09344780 0.09346022 0.09345221 15.19745446 1.10539493 0.09304323 0.09303766 0.09305006 0.09304206 15.27599428 1.10239978 0.09263521 0.09262964 0.09264203 0.09263405 15.35453409 1.09940519 0.09222658 0.09222102 0.09223338 0.09222542 15.43307391 1.09641062 0.09181722 0.09181165 0.09182400 0.09181606 15.51161373 1.09342178 0.09140853 0.09140297 0.09141529 0.09140737 15.59015354 1.09044308 0.09100159 0.09099604 0.09100834 0.09100044 15.66869336 1.08747397 0.09059628 0.09059073 0.09060301 0.09059512 15.74723318 1.08451214 0.09019203 0.09018649 0.09019875 0.09019088 15.82577299 1.08155928 0.08978925 0.08978372 0.08979596 0.08978810 15.90431281 1.07862290 0.08938977 0.08938424 0.08939646 0.08938862 15.98285263 1.07571282 0.08899595 0.08899042 0.08900262 0.08899480 16.06139244 1.07283561 0.08860939 0.08860387 0.08861605 0.08860825 16.13993226 1.06999130 0.08823008 0.08822457 0.08823673 0.08822895 16.21847207 1.06717389 0.08785656 0.08785106 0.08786320 0.08785543 16.29701189 1.06437476 0.08748674 0.08748125 0.08749337 0.08748561 16.37555171 1.06158689 0.08711891 0.08711344 0.08712553 0.08711779 16.45409152 1.05880768 0.08675245 0.08674699 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