# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.05235988 3.56206858 0.79504604 0.79620211 0.79601611 0.79296445 0.15707963 3.67443155 0.79769850 0.79800118 0.79583883 0.79912531 0.26179939 3.47317353 0.73737523 0.73744833 0.73519364 0.73942410 0.36651914 3.28837760 0.68348278 0.68346026 0.68150514 0.68533289 0.47123890 3.14324284 0.63994134 0.63993527 0.63832514 0.64143662 0.57595865 3.02902795 0.60437118 0.60439815 0.60309144 0.60553619 0.68067841 2.93700329 0.57465809 0.57471438 0.57365540 0.57555607 0.78539816 2.86100634 0.54932362 0.54938607 0.54852281 0.55001524 0.89011792 2.79620335 0.52717113 0.52725209 0.52654249 0.52770704 0.99483767 2.73969946 0.50751919 0.50760470 0.50701597 0.50793808 1.09955743 2.68914977 0.48976494 0.48984831 0.48935554 0.49009564 1.20427718 2.64336367 0.47360489 0.47368164 0.47326530 0.47386926 1.30899694 2.60128400 0.45875650 0.45882450 0.45846973 0.45897039 1.41371669 2.56216610 0.44500949 0.44507019 0.44476528 0.44518504 1.51843645 2.52550216 0.43222381 0.43227779 0.43201394 0.43236945 1.62315620 2.49069278 0.42021287 0.42025748 0.42002773 0.42033535 1.72787596 2.45778326 0.40897657 0.40901994 0.40881889 0.40908072 1.83259571 2.42639266 0.39839281 0.39843101 0.39825411 0.39848245 1.93731547 2.39622013 0.38836203 0.38839539 0.38823906 0.38844001 2.04203522 2.36705760 0.37882000 0.37884910 0.37871059 0.37888841 2.14675498 2.33910329 0.36979406 0.36982034 0.36969723 0.36985455 2.25147474 2.31211956 0.36120913 0.36123428 0.36112454 0.36126299 2.35619449 2.28602822 0.35302874 0.35304968 0.35295156 0.35307706 2.46091425 2.26070736 0.34520666 0.34522557 0.34513769 0.34525027 2.56563400 2.23602444 0.33769254 0.33770916 0.33763034 0.33773210 2.67035376 2.21213969 0.33052442 0.33053899 0.33046818 0.33056047 2.77507351 2.18882800 0.32362807 0.32364059 0.32357696 0.32366104 2.87979327 2.16619321 0.31702241 0.31703283 0.31697565 0.31705264 2.98451302 2.14424609 0.31070134 0.31070976 0.31065839 0.31072913 3.08923278 2.12291932 0.30463466 0.30464223 0.30459604 0.30466025 3.19395253 2.10212283 0.29879300 0.29879946 0.29875797 0.29881662 3.29867229 2.08179320 0.29315624 0.29316205 0.29312485 0.29317804 3.40339204 2.06197445 0.28772339 0.28772883 0.28769550 0.28774353 3.50811180 2.04264748 0.28248770 0.28249278 0.28246295 0.28250632 3.61283155 2.02379139 0.27743690 0.27744099 0.27741436 0.27745413 3.71755131 2.00533638 0.27254854 0.27255211 0.27252842 0.27256449 3.82227106 1.98730796 0.26782506 0.26782795 0.26780695 0.26783986 3.92699082 1.96982730 0.26329679 0.26329904 0.26328053 0.26331048 4.03171057 1.95272273 0.25890955 0.25891121 0.25889495 0.25892222 4.13643033 1.93600176 0.25466317 0.25466376 0.25464958 0.25467491 4.24115008 1.91974968 0.25057710 0.25057673 0.25056448 0.25058796 4.34586984 1.90375674 0.24659076 0.24659016 0.24657965 0.24660082 4.45058959 1.88802212 0.24270666 0.24270604 0.24269714 0.24271596 4.55530935 1.87267709 0.23895525 0.23895443 0.23894702 0.23896384 4.66002910 1.85773587 0.23533772 0.23533643 0.23533042 0.23534566 4.76474886 1.84306996 0.23181605 0.23181448 0.23180974 0.23182338 4.86946861 1.82871259 0.22839883 0.22839706 0.22839350 0.22840559 4.97418837 1.81465954 0.22508309 0.22508094 0.22507848 0.22508931 5.07890812 1.80094175 0.22187485 0.22187247 0.22187102 0.22188058 5.18362788 1.78743331 0.21873999 0.21873740 0.21873690 0.21874524 5.28834763 1.77410120 0.21566874 0.21566583 0.21566621 0.21567357 5.39306739 1.76106820 0.21269183 0.21268844 0.21268965 0.21269625 5.49778714 1.74834520 0.20981059 0.20980680 0.20980878 0.20981464 5.60250690 1.73594903 0.20702737 0.20702342 0.20702612 0.20703106 5.70722665 1.72381420 0.20432526 0.20432127 0.20432464 0.20432861 5.81194641 1.71188321 0.20168772 0.20168378 0.20168776 0.20169074 5.91666616 1.70001765 0.19907805 0.19907404 0.19907860 0.19908078 6.02138592 1.68835342 0.19653147 0.19652731 0.19653241 0.19653393 6.12610567 1.67694350 0.19405987 0.19405568 0.19406128 0.19406206 6.23082543 1.66577444 0.19165933 0.19165512 0.19166120 0.19166128 6.33554518 1.65480364 0.18931865 0.18931437 0.18932090 0.18932038 6.44026494 1.64409119 0.18705191 0.18704770 0.18705464 0.18705343 6.54498469 1.63352051 0.18482858 0.18482441 0.18483173 0.18482991 6.64970445 1.62310157 0.18265124 0.18264684 0.18265452 0.18265239 6.75442421 1.61289740 0.18053475 0.18053009 0.18053811 0.18053574 6.85914396 1.60289460 0.17847522 0.17847046 0.17847880 0.17847604 6.96386372 1.59296688 0.17644025 0.17643547 0.17644411 0.17644092 7.06858347 1.58315182 0.17443961 0.17443477 0.17444369 0.17444013 7.17330323 1.57347129 0.17247843 0.17247350 0.17248270 0.17247882 7.27802298 1.56394550 0.17056137 0.17055640 0.17056585 0.17056163 7.38274274 1.55465672 0.16870877 0.16870378 0.16871347 0.16870892 7.48746249 1.54553743 0.16690275 0.16689771 0.16690762 0.16690280 7.59218225 1.53647857 0.16511497 0.16510984 0.16511994 0.16511493 7.69690200 1.52754686 0.16336249 0.16335721 0.16336751 0.16336236 7.80162176 1.51884151 0.16167052 0.16166513 0.16167561 0.16167031 7.90634151 1.51028635 0.16001921 0.16001380 0.16002446 0.16001892 8.01106127 1.50183570 0.15839640 0.15839102 0.15840184 0.15839602 8.11578102 1.49352628 0.15681141 0.15680601 0.15681698 0.15681095 8.22050078 1.48534974 0.15526221 0.15525677 0.15526787 0.15526169 8.32522053 1.47720442 0.15372284 0.15371737 0.15372861 0.15372225 8.42994029 1.46912296 0.15220129 0.15219584 0.15220721 0.15220064 8.53466004 1.46119333 0.15071948 0.15071407 0.15072556 0.15071878 8.63937980 1.45339173 0.14927124 0.14926580 0.14927740 0.14927049 8.74409955 1.44566210 0.14784222 0.14783671 0.14784841 0.14784142 8.84881931 1.43803986 0.14644130 0.14643574 0.14644754 0.14644046 8.95353906 1.43055714 0.14507644 0.14507084 0.14508273 0.14507556 9.05825882 1.42312867 0.14372616 0.14372051 0.14373248 0.14372524 9.16297857 1.41572530 0.14238315 0.14237748 0.14238953 0.14238220 9.26769833 1.40842063 0.14106567 0.14106000 0.14107213 0.14106469 9.37241808 1.40126858 0.13978665 0.13978098 0.13979319 0.13978564 9.47713784 1.39424744 0.13854050 0.13853482 0.13854709 0.13853947 9.58185759 1.38731544 0.13731692 0.13731122 0.13732355 0.13731585 9.68657735 1.38045651 0.13611195 0.13610626 0.13611865 0.13611086 9.79129710 1.37369357 0.13493127 0.13492558 0.13493803 0.13493016 9.89601686 1.36702937 0.13377537 0.13376968 0.13378218 0.13377423 10.00073661 1.36046308 0.13264377 0.13263808 0.13265062 0.13264262 10.10545637 1.35398120 0.13153296 0.13152725 0.13153983 0.13153180 10.21017612 1.34752644 0.13042871 0.13042298 0.13043560 0.13042753 10.31489588 1.34107517 0.12932514 0.12931940 0.12933206 0.12932394 10.41961563 1.33467086 0.12823309 0.12822736 0.12824005 0.12823187 10.52433539 1.32837756 0.12716845 0.12716272 0.12717544 0.12716723 10.62905514 1.32222075 0.12613735 0.12613160 0.12614435 0.12613613 10.73377490 1.31616928 0.12513186 0.12512606 0.12513883 0.12513064 10.83849465 1.31019160 0.12414400 0.12413816 0.12415095 0.12414277 10.94321441 1.30427863 0.12317148 0.12316562 0.12317843 0.12317024 11.04793417 1.29840880 0.12220899 0.12220313 0.12221595 0.12220774 11.15265392 1.29256050 0.12125131 0.12124545 0.12125829 0.12125005 11.25737368 1.28674194 0.12030055 0.12029469 0.12030754 0.12029928 11.36209343 1.28097193 0.11936127 0.11935542 0.11936828 0.11936000 11.46681319 1.27526817 0.11843770 0.11843187 0.11844473 0.11843643 11.57153294 1.26965607 0.11753598 0.11753015 0.11754303 0.11753471 11.67625270 1.26414845 0.11665914 0.11665331 0.11666620 0.11665786 11.78097245 1.25871698 0.11580013 0.11579431 0.11580719 0.11579885 11.88569221 1.25330928 0.11494606 0.11494024 0.11495312 0.11494478 11.99041196 1.24791101 0.11409347 0.11408764 0.11410051 0.11409219 12.09513172 1.24255831 0.11325134 0.11324549 0.11325837 0.11325006 12.19985147 1.23727314 0.11242498 0.11241914 0.11243201 0.11242371 12.30457123 1.23203231 0.11160856 0.11160272 0.11161558 0.11160728 12.40929098 1.22681196 0.11079617 0.11079035 0.11080320 0.11079490 12.51401074 1.22162358 0.10999075 0.10998494 0.10999779 0.10998948 12.61873049 1.21649359 0.10919877 0.10919297 0.10920581 0.10919750 12.72345025 1.21143215 0.10842264 0.10841685 0.10842969 0.10842139 12.82817000 1.20644072 0.10766268 0.10765688 0.10766971 0.10766143 12.93288976 1.20152743 0.10692081 0.10691499 0.10692782 0.10691956 13.03760951 1.19669839 0.10619845 0.10619263 0.10620545 0.10619720 13.14232927 1.19193626 0.10549131 0.10548549 0.10549830 0.10549006 13.24704902 1.18720113 0.10478958 0.10478378 0.10479657 0.10478834 13.35176878 1.18246713 0.10408699 0.10408119 0.10409396 0.10408574 13.45648853 1.17774132 0.10338531 0.10337952 0.10339227 0.10338406 13.56120829 1.17304783 0.10269045 0.10268468 0.10269741 0.10268921 13.66592804 1.16841018 0.10200814 0.10200238 0.10201509 0.10200690 13.77064780 1.16383361 0.10133960 0.10133386 0.10134656 0.10133836 13.87536755 1.15929790 0.10067987 0.10067416 0.10068684 0.10067865 13.98008731 1.15478297 0.10002403 0.10001834 0.10003099 0.10002282 14.08480706 1.15029494 0.09937355 0.09936786 0.09938049 0.09937234 14.18952682 1.14585208 0.09873289 0.09872718 0.09873980 0.09873168 14.29424657 1.14145973 0.09810334 0.09809762 0.09811022 0.09810213 14.39896633 1.13710976 0.09748292 0.09747721 0.09748978 0.09748172 14.50368608 1.13279181 0.09686911 0.09686342 0.09687597 0.09686791 14.60840584 1.12850569 0.09626185 0.09625618 0.09626871 0.09626066 14.71312559 1.12426570 0.09566463 0.09565897 0.09567148 0.09566345 14.81784535 1.12008348 0.09508025 0.09507458 0.09508707 0.09507907 14.92256510 1.11594685 0.09450567 0.09450000 0.09451246 0.09450450 15.02728486 1.11182912 0.09393438 0.09392872 0.09394116 0.09393321 15.13200461 1.10772165 0.09336430 0.09335867 0.09337108 0.09336314 15.23672437 1.10363921 0.09279907 0.09279346 0.09280584 0.09279791 15.34144413 1.09958975 0.09224063 0.09223503 0.09224739 0.09223947 15.44616388 1.09556190 0.09168617 0.09168060 0.09169293 0.09168502 15.55088364 1.09154722 0.09113363 0.09112807 0.09114037 0.09113249 15.65560339 1.08755488 0.09058523 0.09057968 0.09059195 0.09058410 15.76032315 1.08360051 0.09004476 0.09003923 0.09005146 0.09004364 15.86504290 1.07969181 0.08951411 0.08950859 0.08952080 0.08951299 15.96976266 1.07582778 0.08899304 0.08898753 0.08899971 0.08899193 16.07448241 1.07200498 0.08848072 0.08847521 0.08848737 0.08847961 16.17920217 1.06821910 0.08797608 0.08797058 0.08798271 0.08797497 16.28392192 1.06446539 0.08747795 0.08747247 0.08748457 0.08747686 16.38864168 1.06074376 0.08698632 0.08698085 0.08699292 0.08698523 16.49336143 1.05705715 0.08650189 0.08649643 0.08650847 0.08650081 16.59808119 1.05340347 0.08602414 0.08601868 0.08603070 0.08602306 16.70280094 1.04977571 0.08555136 0.08554591 0.08555790 0.08555028 16.80752070 1.04616550 0.08508153 0.08507609 0.08508805 0.08508046 16.91224045 1.04256261 0.08461218 0.08460675 0.08461867 0.08461110 17.01696021 1.03896113 0.08414187 0.08413645 0.08414834 0.08414080 17.12167996 1.03537055 0.08367292 0.08366750 0.08367936 0.08367185 17.22639972 1.03181162 0.08321034 0.08320493 0.08321676 0.08320928 17.33111947 1.02829844 0.08275756 0.08275216 0.08276396 0.08275650 17.43583923 1.02483044 0.08231441 0.08230901 0.08232079 0.08231336 17.54055898 1.02139979 0.08187899 0.08187360 0.08188535 0.08187794 17.64527874 1.01799833 0.08144930 0.08144393 0.08145565 0.08144826 17.74999849 1.01461840 0.08102351 0.08101815 0.08102984 0.08102248 17.85471825 1.01125486 0.08060038 0.08059504 0.08060670 0.08059935 17.95943800 1.00790728 0.08017981 0.08017449 0.08018611 0.08017879 18.06415776 1.00457695 0.07976213 0.07975682 0.07976841 0.07976110 18.16887751 1.00126305 0.07934714 0.07934184 0.07935341 0.07934612 18.27359727 0.99796549 0.07893483 0.07892955 0.07894108 0.07893381 18.37831702 0.99468944 0.07852643 0.07852117 0.07853267 0.07852542 18.48303678 0.99144263 0.07812382 0.07811858 0.07813004 0.07812281 18.58775653 0.98822835 0.07772777 0.07772255 0.07773398 0.07772677 18.69247629 0.98504330 0.07733749 0.07733228 0.07734368 0.07733650 18.79719604 0.98188127 0.07695148 0.07694628 0.07695765 0.07695050 18.90191580 0.97873711 0.07656851 0.07656330 0.07657465 0.07656753 19.00663555 0.97560776 0.07618784 0.07618263 0.07619394 0.07618686 19.11135531 0.97249182 0.07580913 0.07580393 0.07581520 0.07580815 19.21607506 0.96938934 0.07543239 0.07542720 0.07543844 0.07543141 19.32079482 0.96630234 0.07505811 0.07505293 0.07506414 0.07505713 19.42551457 0.96323465 0.07468721 0.07468204 0.07469323 0.07468624 19.53023433 0.96018937 0.07432044 0.07431529 0.07432644 0.07431947 19.63495408 0.95716458 0.07395734 0.07395221 0.07396334 0.07395638 19.73967384 0.95415317 0.07359622 0.07359110 0.07360219 0.07359525 19.84439360 0.95114972 0.07323575 0.07323066 0.07324172 0.07323479 19.94911335 0.94815784 0.07287684 0.07287176 0.07288279 0.07287588 20.05383311 0.94518923 0.07252229 0.07251724 0.07252823 0.07252134 20.15855286 0.94225535 0.07217488 0.07216984 0.07218081 0.07217393 20.26327262 0.93936038 0.07183560 0.07183058 0.07184152 0.07183465 20.36799237 0.93650042 0.07150351 0.07149851 0.07150942 0.07150257 20.47271213 0.93366638 0.07117642 0.07117143 0.07118231 0.07117549 20.57743188 0.93084763 0.07085176 0.07084679 0.07085764 0.07085084 20.68215164 0.92803697 0.07052781 0.07052286 0.07053368 0.07052689 20.78687139 0.92523389 0.07020445 0.07019951 0.07021029 0.07020354 20.89159115 0.92244255 0.06988268 0.06987776 0.06988851 0.06988178 20.99631090 0.91966713 0.06956353 0.06955861 0.06956934 0.06956263 21.10103066 0.91691013 0.06924759 0.06924268 0.06925337 0.06924669 21.20575041 0.91417362 0.06893536 0.06893045 0.06894112 0.06893447 21.31047017 0.91145950 0.06862731 0.06862240 0.06863304 0.06862642 21.41518992 0.90876824 0.06832354 0.06831864 0.06832925 0.06832265 21.51990968 0.90609903 0.06802387 0.06801898 0.06802956 0.06802299 21.62462943 0.90345088 0.06772806 0.06772319 0.06773373 0.06772718 21.72934919 0.90082179 0.06743563 0.06743077 0.06744128 0.06743475 21.83406894 0.89820655 0.06714532 0.06714047 0.06715096 0.06714445 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