# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.03926991 3.49940506 0.78594529 0.78680750 0.78762882 0.78303316 0.11780972 3.73758981 0.81939003 0.81985455 0.81802863 0.81998612 0.19634954 3.60933047 0.77715499 0.77728782 0.77497472 0.77900895 0.27488936 3.45032452 0.73078567 0.73076990 0.72852427 0.73284472 0.35342917 3.31025055 0.69000447 0.68998096 0.68796757 0.69190271 0.43196899 3.19323124 0.65526110 0.65525745 0.65350975 0.65689668 0.51050881 3.09645097 0.62572805 0.62572902 0.62423274 0.62709703 0.58904862 3.01538867 0.60025545 0.60028586 0.59900908 0.60138590 0.66758844 2.94656084 0.57801634 0.57806631 0.57697648 0.57894573 0.74612826 2.88678393 0.55823649 0.55830751 0.55737432 0.55899943 0.82466807 2.83431698 0.54051035 0.54057272 0.53977012 0.54113817 0.90320789 2.78748482 0.52442154 0.52449011 0.52379641 0.52494055 0.98174770 2.74518658 0.50969438 0.50976841 0.50916571 0.51012570 1.06028752 2.70644947 0.49608847 0.49616495 0.49563825 0.49644881 1.13882734 2.67055523 0.48342952 0.48349888 0.48303628 0.48373269 1.21736715 2.63707096 0.47159500 0.47165752 0.47124898 0.47185195 1.29590697 2.60551350 0.46045342 0.46051039 0.46014802 0.46067251 1.37444679 2.57570173 0.44995600 0.45001058 0.44968773 0.45014427 1.45298660 2.54740463 0.44003500 0.44008471 0.43979589 0.44019798 1.53152642 2.52040129 0.43062129 0.43066520 0.43040573 0.43076346 1.61006623 2.49439536 0.42163076 0.42167320 0.42143928 0.42175567 1.68860605 2.46944346 0.41307541 0.41311459 0.41290289 0.41318592 1.76714587 2.44547259 0.40492836 0.40496754 0.40477549 0.40502666 1.84568568 2.42223652 0.39711429 0.39714949 0.39697492 0.39720225 1.92422550 2.39966959 0.38960231 0.38963388 0.38947477 0.38968154 2.00276532 2.37777172 0.38238964 0.38241978 0.38227447 0.38246142 2.08130513 2.35652249 0.37546561 0.37549707 0.37536410 0.37553092 2.15984495 2.33580375 0.36879100 0.36882056 0.36869865 0.36885064 2.23838477 2.31546447 0.36231875 0.36234476 0.36223290 0.36237345 2.31692458 2.29575900 0.35611296 0.35613654 0.35603372 0.35616335 2.39546440 2.27652122 0.35011925 0.35014062 0.35004601 0.35016582 2.47400421 2.25768906 0.34431817 0.34433669 0.34424954 0.34436138 2.55254403 2.23922431 0.33869233 0.33870854 0.33862818 0.33873256 2.63108385 2.22123973 0.33327237 0.33328714 0.33321303 0.33330986 2.70962366 2.20368242 0.32803488 0.32804878 0.32798039 0.32806987 2.78816348 2.18640308 0.32293358 0.32294557 0.32288242 0.32296631 2.86670330 2.16942106 0.31797345 0.31798367 0.31792534 0.31800414 2.94524311 2.15276751 0.31315963 0.31316886 0.31311500 0.31318844 3.02378293 2.13647110 0.30849492 0.30850388 0.30845419 0.30852194 3.10232275 2.12051600 0.30397017 0.30397797 0.30393212 0.30399559 3.18086256 2.10489261 0.29958028 0.29958725 0.29954494 0.29960421 3.25940238 2.08956994 0.29531302 0.29531968 0.29528064 0.29533555 3.33794219 2.07455362 0.29117003 0.29117590 0.29113990 0.29119126 3.41648201 2.05982101 0.28714134 0.28714627 0.28711312 0.28716137 3.49502183 2.04537591 0.28322480 0.28322879 0.28319829 0.28324371 3.57356164 2.03114169 0.27940029 0.27940374 0.27937570 0.27941814 3.65210146 2.01716577 0.27567615 0.27567903 0.27565331 0.27569300 3.73064128 2.00346386 0.27205581 0.27205808 0.27203454 0.27207170 3.80918109 1.99005210 0.26854134 0.26854292 0.26852142 0.26855636 3.88772091 1.97686374 0.26511266 0.26511385 0.26509425 0.26512684 3.96626073 1.96381832 0.26174606 0.26174721 0.26172938 0.26175945 4.04480054 1.95098446 0.25845941 0.25846018 0.25844402 0.25847204 4.12334036 1.93840028 0.25526164 0.25526198 0.25524738 0.25527356 4.20188017 1.92610508 0.25216273 0.25216266 0.25214955 0.25217398 4.28041999 1.91404664 0.24914605 0.24914552 0.24913379 0.24915666 4.35895981 1.90221158 0.24620532 0.24620425 0.24619381 0.24621535 4.43749962 1.89057114 0.24333250 0.24333133 0.24332210 0.24334196 4.51603944 1.87907666 0.24051439 0.24051343 0.24050533 0.24052330 4.59457926 1.86774701 0.23775518 0.23775415 0.23774712 0.23776357 4.67311907 1.85654611 0.23504519 0.23504388 0.23503788 0.23505310 4.75165889 1.84550851 0.23239341 0.23239197 0.23238693 0.23240086 4.83019870 1.83468572 0.22981203 0.22981037 0.22980625 0.22981903 4.90873852 1.82405998 0.22729390 0.22729195 0.22728870 0.22730048 4.98727834 1.81356413 0.22482100 0.22481876 0.22481632 0.22482719 5.06581815 1.80325049 0.22240687 0.22240433 0.22240266 0.22241268 5.14435797 1.79313694 0.22005577 0.22005312 0.22005217 0.22006122 5.22289779 1.78314771 0.21774711 0.21774436 0.21774409 0.21775223 5.30143760 1.77328534 0.21548166 0.21547866 0.21547904 0.21548645 5.37997742 1.76352212 0.21325112 0.21324792 0.21324891 0.21325561 5.45851724 1.75388245 0.21106072 0.21105749 0.21105907 0.21106492 5.53705705 1.74439032 0.20891667 0.20891342 0.20891556 0.20892058 5.61559687 1.73506762 0.20682507 0.20682170 0.20682436 0.20682872 5.69413668 1.72592719 0.20478899 0.20478547 0.20478865 0.20479238 5.77267650 1.71692333 0.20279505 0.20279142 0.20279507 0.20279820 5.85121632 1.70801364 0.20083105 0.20082723 0.20083134 0.20083397 5.92975613 1.69921571 0.19890132 0.19889728 0.19890181 0.19890403 6.00829595 1.69051386 0.19700216 0.19699791 0.19700285 0.19700467 6.08683577 1.68189365 0.19512978 0.19512541 0.19513074 0.19513209 6.16537558 1.67337986 0.19329039 0.19328596 0.19329167 0.19329252 6.24391540 1.66499544 0.19148949 0.19148501 0.19149107 0.19149144 6.32245522 1.65676207 0.18973196 0.18972742 0.18973382 0.18973373 6.40099503 1.64868007 0.18801734 0.18801282 0.18801953 0.18801896 6.47953485 1.64070287 0.18633361 0.18632914 0.18633615 0.18633507 6.55807466 1.63277484 0.18466679 0.18466226 0.18466955 0.18466811 6.63661448 1.62489968 0.18301787 0.18301320 0.18302077 0.18301904 6.71515430 1.61711430 0.18139598 0.18139124 0.18139909 0.18139702 6.79369411 1.60945632 0.17981030 0.17980555 0.17981365 0.17981121 6.87223393 1.60192838 0.17826099 0.17825626 0.17826461 0.17826178 6.95077375 1.59450749 0.17674176 0.17673705 0.17674563 0.17674244 7.02931356 1.58717876 0.17524872 0.17524397 0.17525276 0.17524929 7.10785338 1.57991648 0.17377513 0.17377036 0.17377935 0.17377560 7.18639320 1.57272737 0.17232261 0.17231783 0.17232702 0.17232298 7.26493301 1.56564218 0.17089925 0.17089443 0.17090381 0.17089953 7.34347283 1.55866826 0.16950691 0.16950202 0.16951157 0.16950711 7.42201264 1.55180940 0.16814598 0.16814101 0.16815074 0.16814610 7.50055246 1.54503192 0.16680744 0.16680241 0.16681230 0.16680747 7.57909228 1.53829656 0.16548127 0.16547621 0.16548626 0.16548123 7.65763209 1.53161653 0.16417088 0.16416578 0.16417597 0.16417076 7.73617191 1.52500134 0.16287854 0.16287338 0.16288372 0.16287835 7.81471173 1.51843887 0.16160115 0.16159593 0.16160640 0.16160089 7.89325154 1.51194951 0.16034398 0.16033871 0.16034932 0.16034366 7.97179136 1.50556682 0.15911548 0.15911018 0.15912091 0.15911510 8.05033117 1.49927943 0.15791245 0.15790713 0.15791799 0.15791202 8.12887099 1.49304577 0.15672397 0.15671863 0.15672960 0.15672349 8.20741081 1.48684837 0.15554551 0.15554014 0.15555121 0.15554498 8.28595062 1.48070527 0.15438183 0.15437643 0.15438761 0.15438125 8.36449044 1.47463059 0.15323655 0.15323114 0.15324241 0.15323593 8.44303026 1.46861389 0.15210677 0.15210136 0.15211272 0.15210610 8.52157007 1.46265834 0.15099312 0.15098774 0.15099919 0.15099241 8.60010989 1.45677373 0.14989805 0.14989271 0.14990424 0.14989730 8.67864971 1.45095323 0.14881982 0.14881449 0.14882610 0.14881905 8.75718952 1.44519005 0.14775672 0.14775133 0.14776302 0.14775591 8.83572934 1.43947464 0.14670631 0.14670087 0.14671263 0.14670547 8.91426915 1.43379443 0.14566551 0.14566002 0.14567185 0.14566464 8.99280897 1.42816493 0.14463817 0.14463264 0.14464455 0.14463727 9.07134879 1.42261921 0.14363234 0.14362680 0.14363877 0.14363141 9.14988860 1.41716116 0.14264873 0.14264319 0.14265522 0.14264777 9.22842842 1.41176109 0.14167982 0.14167429 0.14168638 0.14167884 9.30696824 1.40638606 0.14071746 0.14071192 0.14072407 0.14071646 9.38550805 1.40102220 0.13975821 0.13975264 0.13976484 0.13975720 9.46404787 1.39568265 0.13880531 0.13879969 0.13881193 0.13880427 9.54258769 1.39039698 0.13786607 0.13786041 0.13787270 0.13786502 9.62112750 1.38519351 0.13694755 0.13694184 0.13695418 0.13694648 9.69966732 1.38007328 0.13604993 0.13604421 0.13605659 0.13604884 9.77820713 1.37500514 0.13516541 0.13515969 0.13517212 0.13516430 9.85674695 1.36996892 0.13428892 0.13428321 0.13429567 0.13428780 9.93528677 1.36497868 0.13342390 0.13341818 0.13343068 0.13342276 10.01382658 1.36005047 0.13257422 0.13256849 0.13258102 0.13257307 10.09236640 1.35517097 0.13173655 0.13173081 0.13174337 0.13173538 10.17090622 1.35031505 0.13090472 0.13089897 0.13091157 0.13090354 10.24944603 1.34548239 0.13007870 0.13007294 0.13008557 0.13007751 10.32798585 1.34069663 0.12926429 0.12925853 0.12927118 0.12926309 10.40652567 1.33597492 0.12846562 0.12845987 0.12847255 0.12846441 10.48506548 1.33130781 0.12768027 0.12767455 0.12768725 0.12767905 10.56360530 1.32666970 0.12690188 0.12689617 0.12690889 0.12690065 10.64214511 1.32204910 0.12612759 0.12612188 0.12613462 0.12612636 10.72068493 1.31745830 0.12536047 0.12535473 0.12536749 0.12535924 10.79922475 1.31291658 0.12460530 0.12459952 0.12461229 0.12460406 10.87776456 1.30843040 0.12386362 0.12385781 0.12387059 0.12386237 10.95630438 1.30398219 0.12313097 0.12312514 0.12313794 0.12312971 11.03484420 1.29953983 0.12239931 0.12239349 0.12240630 0.12239805 11.11338401 1.29508531 0.12166428 0.12165847 0.12167129 0.12166302 11.19192383 1.29063730 0.12093065 0.12092484 0.12093768 0.12092938 11.27046364 1.28624159 0.12020976 0.12020396 0.12021680 0.12020849 11.34900346 1.28193289 0.11951010 0.11950428 0.11951714 0.11950882 11.42754328 1.27770786 0.11883070 0.11882487 0.11883774 0.11882942 11.50608309 1.27353916 0.11816470 0.11815887 0.11817175 0.11816342 11.58462291 1.26940532 0.11750680 0.11750098 0.11751386 0.11750552 11.66316273 1.26529651 0.11685460 0.11684880 0.11686168 0.11685331 11.74170254 1.26120197 0.11620548 0.11619969 0.11621257 0.11620419 11.82024236 1.25710827 0.11555611 0.11555034 0.11556322 0.11555483 11.89878218 1.25301207 0.11490567 0.11489990 0.11491278 0.11490439 11.97732199 1.24892923 0.11425804 0.11425228 0.11426515 0.11425676 12.05586181 1.24488570 0.11361960 0.11361384 0.11362672 0.11361832 12.13440162 1.24089751 0.11299427 0.11298851 0.11300139 0.11299300 12.21294144 1.23696236 0.11238146 0.11237570 0.11238858 0.11238019 12.29148126 1.23306913 0.11177842 0.11177266 0.11178553 0.11177715 12.37002107 1.22920707 0.11118251 0.11117673 0.11118960 0.11118124 12.44856089 1.22536443 0.11059083 0.11058504 0.11059790 0.11058956 12.52710071 1.22152878 0.11000029 0.10999449 0.11000735 0.10999902 12.60564052 1.21769649 0.10940999 0.10940419 0.10941704 0.10940872 12.68418034 1.21388003 0.10882300 0.10881720 0.10883004 0.10882173 12.76272016 1.21010090 0.10824460 0.10823881 0.10825165 0.10824333 12.84125997 1.20637354 0.10767834 0.10767256 0.10768539 0.10767707 12.91979979 1.20269538 0.10712358 0.10711781 0.10713063 0.10712230 12.99833960 1.19905137 0.10657659 0.10657083 0.10658365 0.10657532 13.07687942 1.19542675 0.10603376 0.10602801 0.10604082 0.10603249 13.15541924 1.19181565 0.10549364 0.10548790 0.10550070 0.10549237 13.23395905 1.18822064 0.10495685 0.10495113 0.10496391 0.10495559 13.31249887 1.18464753 0.10442481 0.10441909 0.10443186 0.10442355 13.39103869 1.18110068 0.10389854 0.10389282 0.10390558 0.10389729 13.46957850 1.17758213 0.10337853 0.10337281 0.10338556 0.10337729 13.54811832 1.17409408 0.10286532 0.10285959 0.10287233 0.10286407 13.62665813 1.17063847 0.10235938 0.10235365 0.10236638 0.10235813 13.70519795 1.16721201 0.10185991 0.10185419 0.10186691 0.10185866 13.78373777 1.16380431 0.10136437 0.10135868 0.10137137 0.10136313 13.86227758 1.16040437 0.10087009 0.10086441 0.10087709 0.10086886 13.94081740 1.15700864 0.10037620 0.10037052 0.10038319 0.10037497 14.01935722 1.15362177 0.09988382 0.09987814 0.09989079 0.09988260 14.09789703 1.15025176 0.09939490 0.09938921 0.09940185 0.09939368 14.17643685 1.14690616 0.09891125 0.09890556 0.09891818 0.09891003 14.25497667 1.14359024 0.09843414 0.09842846 0.09844106 0.09843293 14.33351648 1.14030367 0.09796349 0.09795782 0.09797041 0.09796228 14.41205630 1.13703925 0.09749755 0.09749189 0.09750446 0.09749634 14.49059611 1.13378877 0.09703432 0.09702867 0.09704122 0.09703311 14.56913593 1.13055165 0.09657368 0.09656803 0.09658056 0.09657248 14.64767575 1.12733571 0.09611753 0.09611188 0.09612440 0.09611633 14.72621556 1.12414890 0.09566779 0.09566215 0.09567465 0.09566660 14.80475538 1.12099137 0.09522449 0.09521884 0.09523132 0.09522330 14.88329520 1.11785576 0.09478580 0.09478015 0.09479262 0.09478462 14.96183501 1.11473417 0.09434981 0.09434416 0.09435661 0.09434863 15.04037483 1.11162445 0.09391600 0.09391036 0.09392278 0.09391482 15.11891465 1.10853046 0.09348533 0.09347969 0.09349209 0.09348415 15.19745446 1.10545778 0.09305915 0.09305352 0.09306591 0.09305798 15.27599428 1.10240950 0.09263822 0.09263261 0.09264498 0.09263705 15.35453409 1.09938501 0.09222238 0.09221678 0.09222913 0.09222121 15.43307391 1.09638205 0.09181104 0.09180546 0.09181779 0.09180988 15.51161373 1.09339906 0.09140383 0.09139826 0.09141057 0.09140268 15.59015354 1.09043570 0.09100066 0.09099510 0.09100739 0.09099951 15.66869336 1.08749132 0.09060137 0.09059581 0.09060808 0.09060023 15.74723318 1.08456416 0.09020553 0.09019999 0.09021223 0.09020440 15.82577299 1.08165233 0.08981270 0.08980716 0.08981939 0.08981157 15.90431281 1.07875530 0.08942274 0.08941720 0.08942941 0.08942161 15.98285263 1.07587443 0.08903598 0.08903045 0.08904264 0.08903485 16.06139244 1.07301218 0.08865303 0.08864751 0.08865968 0.08865190 16.13993226 1.07017038 0.08827432 0.08826881 0.08828096 0.08827319 16.21847207 1.06734812 0.08789962 0.08789413 0.08790626 0.08789850 16.29701189 1.06454087 0.08752783 0.08752235 0.08753446 0.08752671 16.37555171 1.06174211 0.08715738 0.08715190 0.08716399 0.08715626 16.45409152 1.05894731 0.08678715 0.08678168 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