# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.10471976 3.63051440 0.79619311 0.79687862 0.79516161 0.79664123 0.31415927 3.34552227 0.70181421 0.70185709 0.69978484 0.70377286 0.52359878 3.07154870 0.61837318 0.61842559 0.61700255 0.61967325 0.73303829 2.89225254 0.56001963 0.56010231 0.55916304 0.56079449 0.94247780 2.76395533 0.51601649 0.51611309 0.51547797 0.51648202 1.15191731 2.66314373 0.48059618 0.48067048 0.48022543 0.48088683 1.36135682 2.57924735 0.45098349 0.45104490 0.45072179 0.45117381 1.57079633 2.50584420 0.42540541 0.42545687 0.42521521 0.42553649 1.78023584 2.43992845 0.40292358 0.40296313 0.40277802 0.40301854 1.98967535 2.37943608 0.38284809 0.38288408 0.38273977 0.38291961 2.19911486 2.32348299 0.36480441 0.36483005 0.36471603 0.36486035 2.40855437 2.27124555 0.34844676 0.34846707 0.34837603 0.34849178 2.61799388 2.22201513 0.33347432 0.33348926 0.33341611 0.33351134 2.82743339 2.17559449 0.31974485 0.31975564 0.31969660 0.31977583 3.03687290 2.13160109 0.30708223 0.30709126 0.30704364 0.30710840 3.24631241 2.08976021 0.29534590 0.29535278 0.29531444 0.29536818 3.45575192 2.05007721 0.28448000 0.28448552 0.28445476 0.28449902 3.66519143 2.01233462 0.27438395 0.27438780 0.27436337 0.27440022 3.87463094 1.97663710 0.26503961 0.26504160 0.26502246 0.26505359 4.08407045 1.94232889 0.25624198 0.25624307 0.25622837 0.25625396 4.29350996 1.90964855 0.24803112 0.24803081 0.24801986 0.24804142 4.50294947 1.87827919 0.24029411 0.24029328 0.24028550 0.24030295 4.71238898 1.84838474 0.23305856 0.23305708 0.23305203 0.23306612 4.92182849 1.81975973 0.22625126 0.22624922 0.22624649 0.22625768 5.13126800 1.79216298 0.21979741 0.21979501 0.21979428 0.21980284 5.34070751 1.76570248 0.21371373 0.21371078 0.21371180 0.21371830 5.55014702 1.74029924 0.20796293 0.20795962 0.20796213 0.20796673 5.75958653 1.71571496 0.20247945 0.20247594 0.20247975 0.20248260 5.96902604 1.69227767 0.19733966 0.19733569 0.19734064 0.19734225 6.17846555 1.66950336 0.19241051 0.19240623 0.19241217 0.19241259 6.38790506 1.64741171 0.18769230 0.18768789 0.18769471 0.18769394 6.59734457 1.62627691 0.18324920 0.18324454 0.18325212 0.18325046 6.80678408 1.60582189 0.17900813 0.17900334 0.17901162 0.17900904 7.01622359 1.58602437 0.17495695 0.17495209 0.17496097 0.17495755 7.22566310 1.56695033 0.17110827 0.17110332 0.17111271 0.17110861 7.43510261 1.54824326 0.16736960 0.16736465 0.16737450 0.16736971 7.64454212 1.53022273 0.16381981 0.16381463 0.16382489 0.16381973 7.85398163 1.51285125 0.16044669 0.16044135 0.16045197 0.16044643 8.06342114 1.49572753 0.15714712 0.15714171 0.15715266 0.15714671 8.27286065 1.47913775 0.15399089 0.15398547 0.15399670 0.15399035 8.48230016 1.46308369 0.15097601 0.15097060 0.15098207 0.15097535 8.69173967 1.44738118 0.14805560 0.14805010 0.14806180 0.14805484 8.90117919 1.43216376 0.14526208 0.14525655 0.14526845 0.14526122 9.11061870 1.41755509 0.14262458 0.14261904 0.14263111 0.14262364 9.32005821 1.40316080 0.14004294 0.14003738 0.14004960 0.14004194 9.52949772 1.38910077 0.13754686 0.13754124 0.13755358 0.13754581 9.73893723 1.37534086 0.13512711 0.13512139 0.13513384 0.13512603 9.94837674 1.36196672 0.13280371 0.13279792 0.13281047 0.13280259 10.15781625 1.34892873 0.13056416 0.13055838 0.13057101 0.13056299 10.36725576 1.33619770 0.12840007 0.12839431 0.12840702 0.12839887 10.57669527 1.32375678 0.12630648 0.12630071 0.12631347 0.12630526 10.78613478 1.31154692 0.12426860 0.12426284 0.12427563 0.12426736 10.99557429 1.29962724 0.12230101 0.12229524 0.12230807 0.12229977 11.20501380 1.28799942 0.12040323 0.12039744 0.12041028 0.12040199 11.41445331 1.27648353 0.11852986 0.11852405 0.11853690 0.11852861 11.62389282 1.26517603 0.11670551 0.11669968 0.11671255 0.11670424 11.83333233 1.25417349 0.11495352 0.11494770 0.11496059 0.11495225 12.04277184 1.24341453 0.11325793 0.11325215 0.11326503 0.11325666 12.25221135 1.23279683 0.11159362 0.11158787 0.11160075 0.11159235 12.46165086 1.22245451 0.10999338 0.10998765 0.11000051 0.10999212 12.67109037 1.21238049 0.10845478 0.10844904 0.10846189 0.10845352 12.88052988 1.20242511 0.10694108 0.10693535 0.10694817 0.10693984 13.08996939 1.19269359 0.10547819 0.10547244 0.10548524 0.10547696 13.29940890 1.18322422 0.10407520 0.10406944 0.10408221 0.10407397 13.50884841 1.17381225 0.10268159 0.10267584 0.10268859 0.10268036 13.71828792 1.16444935 0.10129535 0.10128965 0.10130236 0.10129413 13.92772743 1.15534726 0.09996826 0.09996257 0.09997524 0.09996704 14.13716694 1.14647684 0.09869299 0.09868729 0.09869992 0.09869178 14.34660645 1.13776153 0.09745079 0.09744508 0.09745767 0.09744958 14.55604596 1.12915657 0.09623056 0.09622487 0.09623741 0.09622936 14.76548547 1.12065712 0.09503107 0.09502540 0.09503789 0.09502988 14.97492498 1.11230298 0.09386196 0.09385631 0.09386875 0.09386078 15.18436449 1.10410515 0.09272578 0.09272016 0.09273255 0.09272462 15.39380400 1.09604581 0.09161828 0.09161267 0.09162502 0.09161712 15.60324351 1.08815612 0.09054697 0.09054140 0.09055369 0.09054582 15.81268302 1.08041905 0.08950761 0.08950208 0.08951432 0.08950647 16.02212253 1.07271846 0.08847188 0.08846639 0.08847856 0.08847075 16.23156204 1.06511489 0.08745453 0.08744907 0.08746118 0.08745342 16.44100155 1.05763789 0.08646277 0.08645732 0.08646937 0.08646167 16.65044106 1.05023837 0.08548460 0.08547916 0.08549115 0.08548352 16.85988057 1.04292657 0.08452250 0.08451709 0.08452902 0.08452143 17.06932008 1.03574985 0.08358799 0.08358259 0.08359446 0.08358693 17.27875959 1.02871721 0.08268319 0.08267781 0.08268962 0.08268214 17.48819910 1.02182185 0.08180640 0.08180104 0.08181279 0.08180536 17.69763862 1.01501108 0.08094487 0.08093953 0.08095122 0.08094384 17.90707813 1.00826276 0.08009327 0.08008793 0.08009957 0.08009224 18.11651764 1.00159688 0.07925640 0.07925108 0.07926266 0.07925538 18.32595715 0.99504214 0.07844120 0.07843591 0.07844742 0.07844019 18.53539666 0.98860142 0.07764839 0.07764313 0.07765459 0.07764739 18.74483617 0.98224651 0.07687118 0.07686596 0.07687735 0.07687019 18.95427568 0.97595112 0.07610320 0.07609802 0.07610935 0.07610223 19.16371519 0.96972286 0.07534632 0.07534118 0.07535244 0.07534535 19.37315470 0.96360220 0.07461033 0.07460523 0.07461643 0.07460937 19.58259421 0.95758251 0.07389364 0.07388857 0.07389971 0.07389268 19.79203372 0.95160948 0.07318314 0.07317811 0.07318918 0.07318220 20.00147323 0.94569430 0.07248158 0.07247657 0.07248758 0.07248065 20.21091274 0.93987120 0.07179723 0.07179224 0.07180319 0.07179631 20.42035225 0.93412138 0.07112554 0.07112057 0.07113145 0.07112462 20.62979176 0.92844043 0.07046544 0.07046052 0.07047133 0.07046453 20.83923127 0.92283415 0.06981838 0.06981350 0.06982425 0.06981748 21.04867078 0.91728408 0.06917996 0.06917511 0.06918579 0.06917907 21.25811029 0.91178177 0.06854818 0.06854335 0.06855397 0.06854731 21.46754980 0.90635157 0.06792892 0.06792410 0.06793466 0.06792806 21.67698931 0.90099447 0.06732241 0.06731761 0.06732811 0.06732156 21.88642882 0.89568662 0.06672294 0.06671816 0.06672860 0.06672211 22.09586833 0.89042776 0.06613049 0.06612572 0.06613610 0.06612966 22.30530784 0.88523758 0.06554981 0.06554506 0.06555538 0.06554898 22.51474735 0.88013462 0.06498540 0.06498066 0.06499093 0.06498457 22.72418686 0.87509934 0.06443257 0.06442785 0.06443806 0.06443175 22.93362637 0.87012791 0.06389043 0.06388573 0.06389589 0.06388961 23.14306588 0.86524568 0.06336508 0.06336042 0.06337052 0.06336427 23.35250539 0.86042986 0.06285109 0.06284646 0.06285650 0.06285028 23.56194490 0.85565390 0.06234211 0.06233752 0.06234750 0.06234131 23.77138441 0.85093534 0.06184239 0.06183783 0.06184776 0.06184160 23.98082392 0.84631525 0.06136181 0.06135727 0.06136714 0.06136102 24.19026343 0.84179211 0.06090001 0.06089549 0.06090531 0.06089923 24.39970294 0.83730512 0.06044244 0.06043795 0.06044772 0.06044167 24.60914245 0.83282362 0.05998179 0.05997733 0.05998704 0.05998103 24.81858196 0.82836483 0.05952223 0.05951778 0.05952744 0.05952147 25.02802147 0.82394594 0.05906789 0.05906348 0.05907308 0.05906714 25.23746098 0.81957171 0.05861996 0.05861557 0.05862512 0.05861922 25.44690049 0.81524225 0.05817849 0.05817412 0.05818362 0.05817775 25.65634000 0.81095691 0.05774336 0.05773901 0.05774845 0.05774262 25.86577951 0.80671503 0.05731443 0.05731011 0.05731950 0.05731370 26.07521902 0.80251595 0.05689158 0.05688728 0.05689662 0.05689086 26.28465854 0.79835903 0.05647470 0.05647042 0.05647970 0.05647398 26.49409805 0.79424363 0.05606364 0.05605939 0.05606862 0.05606293 26.70353756 0.79016913 0.05565831 0.05565408 0.05566326 0.05565760 26.91297707 0.78613492 0.05525858 0.05525437 0.05526350 0.05525788 27.12241658 0.78214042 0.05486434 0.05486015 0.05486924 0.05486364 27.33185609 0.77818504 0.05447549 0.05447132 0.05448036 0.05447480 27.54129560 0.77426821 0.05409191 0.05408777 0.05409675 0.05409123 27.75073511 0.77038938 0.05371351 0.05370939 0.05371833 0.05371283 27.96017462 0.76654799 0.05334019 0.05333609 0.05334498 0.05333951 28.16961413 0.76274351 0.05297185 0.05296777 0.05297661 0.05297117 28.37905364 0.75897541 0.05260838 0.05260432 0.05261312 0.05260771 28.58849315 0.75524318 0.05224971 0.05224567 0.05225442 0.05224904 28.79793266 0.75154632 0.05189573 0.05189172 0.05190041 0.05189507 29.00737217 0.74788432 0.05154637 0.05154237 0.05155102 0.05154571 29.21681168 0.74425671 0.05120152 0.05119755 0.05120615 0.05120087 29.42625119 0.74066300 0.05086112 0.05085717 0.05086573 0.05086048 29.63569070 0.73710274 0.05052508 0.05052115 0.05052966 0.05052444 29.84513021 0.73357545 0.05019331 0.05018940 0.05019787 0.05019268 30.05456972 0.73008069 0.04986574 0.04986185 0.04987028 0.04986511 30.26400923 0.72661801 0.04954230 0.04953843 0.04954681 0.04954167 30.47344874 0.72318699 0.04922291 0.04921905 0.04922739 0.04922228 30.68288825 0.71978720 0.04890749 0.04890365 0.04891194 0.04890687 30.89232776 0.71641821 0.04859597 0.04859216 0.04860040 0.04859535 31.10176727 0.71307961 0.04828829 0.04828449 0.04829270 0.04828768 31.31120678 0.70977099 0.04798437 0.04798059 0.04798875 0.04798376 31.52064629 0.70649196 0.04768415 0.04768039 0.04768851 0.04768354 31.73008580 0.70324211 0.04738756 0.04738382 0.04739190 0.04738696 31.93952531 0.70002107 0.04709454 0.04709082 0.04709885 0.04709394 32.14896482 0.69682846 0.04680502 0.04680132 0.04680931 0.04680443 32.35840433 0.69366390 0.04651895 0.04651527 0.04652322 0.04651836 32.56784384 0.69052702 0.04623626 0.04623260 0.04624051 0.04623568 32.77728335 0.68741748 0.04595690 0.04595325 0.04596113 0.04595632 32.98672286 0.68433492 0.04568080 0.04567718 0.04568501 0.04568023 33.19616237 0.68127898 0.04540792 0.04540431 0.04541211 0.04540735 33.40560188 0.67824934 0.04513820 0.04513461 0.04514236 0.04513763 33.61504139 0.67524565 0.04487158 0.04486801 0.04487573 0.04487102 33.82448090 0.67226758 0.04460802 0.04460446 0.04461214 0.04460746 34.03392041 0.66931482 0.04434746 0.04434392 0.04435156 0.04434690 34.24335992 0.66638705 0.04408985 0.04408633 0.04409393 0.04408929 34.45279943 0.66348395 0.04383514 0.04383164 0.04383920 0.04383459 34.66223894 0.66060521 0.04358329 0.04357980 0.04358733 0.04358274 34.87167845 0.65775054 0.04333425 0.04333078 0.04333827 0.04333370 35.08111797 0.65491964 0.04308797 0.04308452 0.04309197 0.04308743 35.29055748 0.65211221 0.04284441 0.04284097 0.04284839 0.04284387 35.49999699 0.64932797 0.04260353 0.04260011 0.04260749 0.04260299 35.70943650 0.64656663 0.04236527 0.04236187 0.04236921 0.04236474 35.91887601 0.64382792 0.04212961 0.04212622 0.04213353 0.04212908 36.12831552 0.64111157 0.04189650 0.04189312 0.04190040 0.04189597 36.33775503 0.63841730 0.04166589 0.04166253 0.04166977 0.04166537 36.54719454 0.63574485 0.04143776 0.04143442 0.04144162 0.04143724 36.75663405 0.63309396 0.04121205 0.04120873 0.04121590 0.04121153 36.96607356 0.63046437 0.04098874 0.04098543 0.04099257 0.04098823 37.17551307 0.62785583 0.04076779 0.04076449 0.04077159 0.04076727 37.38495258 0.62526809 0.04054915 0.04054587 0.04055294 0.04054864 37.59439209 0.62270091 0.04033280 0.04032954 0.04033657 0.04033229 37.80383160 0.62015405 0.04011870 0.04011545 0.04012245 0.04011820 38.01327111 0.61762727 0.03990681 0.03990358 0.03991055 0.03990631 38.22271062 0.61512034 0.03969711 0.03969389 0.03970083 0.03969661 38.43215013 0.61263302 0.03948956 0.03948635 0.03949326 0.03948906 38.64158964 0.61016509 0.03928412 0.03928093 0.03928781 0.03928363 38.85102915 0.60771634 0.03908077 0.03907760 0.03908444 0.03908028 39.06046866 0.60528653 0.03887948 0.03887632 0.03888313 0.03887899 39.26990817 0.60287546 0.03868021 0.03867706 0.03868384 0.03867973 39.47934768 0.60048290 0.03848293 0.03847980 0.03848655 0.03848245 39.68878719 0.59810866 0.03828763 0.03828451 0.03829123 0.03828715 39.89822670 0.59575252 0.03809425 0.03809115 0.03809784 0.03809378 40.10766621 0.59341428 0.03790279 0.03789970 0.03790636 0.03790232 40.31710572 0.59109375 0.03771321 0.03771013 0.03771676 0.03771274 40.52654523 0.58879071 0.03752549 0.03752242 0.03752902 0.03752502 40.73598474 0.58650497 0.03733959 0.03733653 0.03734311 0.03733912 40.94542425 0.58423635 0.03715549 0.03715245 0.03715899 0.03715502 41.15486376 0.58198465 0.03697317 0.03697014 0.03697666 0.03697271 41.36430327 0.57974969 0.03679260 0.03678958 0.03679607 0.03679214 41.57374278 0.57753127 0.03661375 0.03661075 0.03661721 0.03661329 41.78318229 0.57532923 0.03643661 0.03643362 0.03644005 0.03643615 41.99262180 0.57314338 0.03626114 0.03625817 0.03626457 0.03626069 42.20206131 0.57097354 0.03608733 0.03608437 0.03609074 0.03608688 42.41150082 0.56881954 0.03591514 0.03591220 0.03591854 0.03591470 42.62094033 0.56668121 0.03574457 0.03574164 0.03574796 0.03574413 42.83037984 0.56455838 0.03557559 0.03557266 0.03557895 0.03557514 43.03981935 0.56245089 0.03540816 0.03540525 0.03541152 0.03540772 43.24925886 0.56035857 0.03524229 0.03523939 0.03524563 0.03524185 43.45869837 0.55828125 0.03507793 0.03507505 0.03508126 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