# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.10471976 3.63155992 0.79646480 0.79701899 0.79529976 0.79690995 0.31415927 3.34642815 0.70203641 0.70203310 0.69995930 0.70399463 0.52359878 3.07215306 0.61851934 0.61855950 0.61713579 0.61981979 0.73303829 2.89288078 0.56016873 0.56024691 0.55930624 0.56094457 0.94247780 2.76435013 0.51612122 0.51620665 0.51557037 0.51658757 1.15191731 2.66365079 0.48072802 0.48079849 0.48035215 0.48101937 1.36135682 2.57946032 0.45103607 0.45110415 0.45078026 0.45122684 1.57079633 2.50601456 0.42543726 0.42549215 0.42525010 0.42556876 1.78023584 2.44000366 0.40292995 0.40297376 0.40278844 0.40302508 1.98967535 2.37961414 0.38288474 0.38291906 0.38277459 0.38295641 2.19911486 2.32369757 0.36485022 0.36487755 0.36476336 0.36490634 2.40855437 2.27125455 0.34843892 0.34846079 0.34836968 0.34848404 2.61799388 2.22201998 0.33347053 0.33348537 0.33341215 0.33350769 2.82743339 2.17559120 0.31974703 0.31975849 0.31969947 0.31977804 3.03687290 2.13159947 0.30708463 0.30709447 0.30704683 0.30711083 3.24631241 2.09011498 0.29544476 0.29545123 0.29541287 0.29546701 3.45575192 2.05040829 0.28456928 0.28457434 0.28454361 0.28458833 3.66519143 2.01270678 0.27448080 0.27448509 0.27446068 0.27449708 3.87463094 1.97681646 0.26508546 0.26508755 0.26506841 0.26509945 4.08407045 1.94238395 0.25625552 0.25625676 0.25624204 0.25626754 4.29350996 1.90975935 0.24805895 0.24805902 0.24804807 0.24806926 4.50294947 1.87849006 0.24034947 0.24034882 0.24034105 0.24035828 4.71238898 1.84858080 0.23310867 0.23310726 0.23310220 0.23311619 4.92182849 1.81972031 0.22624003 0.22623755 0.22623485 0.22624644 5.13126800 1.79210861 0.21978179 0.21977884 0.21977814 0.21978723 5.34070751 1.76568816 0.21370727 0.21370397 0.21370500 0.21371184 5.55014702 1.74024066 0.20794815 0.20794454 0.20794707 0.20795197 5.75958653 1.71588267 0.20252383 0.20251989 0.20252374 0.20252697 5.96902604 1.69220407 0.19732123 0.19731729 0.19732228 0.19732379 6.17846555 1.66946328 0.19240280 0.19239849 0.19240447 0.19240487 6.38790506 1.64765532 0.18775760 0.18775318 0.18776003 0.18775922 6.59734457 1.62643364 0.18329231 0.18328760 0.18329520 0.18329356 6.80678408 1.60590895 0.17903234 0.17902749 0.17903577 0.17903325 7.01622359 1.58610565 0.17497783 0.17497277 0.17498164 0.17497844 7.22566310 1.56677998 0.17106579 0.17106075 0.17107015 0.17106612 7.43510261 1.54831398 0.16738965 0.16738464 0.16739451 0.16738976 7.64454212 1.53042202 0.16387237 0.16386725 0.16387752 0.16387228 7.85398163 1.51289293 0.16045918 0.16045398 0.16046461 0.16045892 8.06342114 1.49578729 0.15716395 0.15715871 0.15716966 0.15716353 8.27286065 1.47924974 0.15401996 0.15401460 0.15402583 0.15401942 8.48230016 1.46321899 0.15101104 0.15100548 0.15101695 0.15101039 8.69173967 1.44759547 0.14811057 0.14810498 0.14811667 0.14810981 8.90117919 1.43245514 0.14533587 0.14533027 0.14534215 0.14533503 9.11061870 1.41766473 0.14265279 0.14264715 0.14265920 0.14265187 9.32005821 1.40318585 0.14005017 0.14004451 0.14005671 0.14004919 9.52949772 1.38911674 0.13755260 0.13754694 0.13755927 0.13755157 9.73893723 1.37539657 0.13514234 0.13513668 0.13514912 0.13514127 9.94837674 1.36199450 0.13281176 0.13280608 0.13281861 0.13281065 10.15781625 1.34896966 0.13057541 0.13056969 0.13058230 0.13057426 10.36725576 1.33621871 0.12840638 0.12840064 0.12841333 0.12840520 10.57669527 1.32373452 0.12630258 0.12629679 0.12630954 0.12630138 10.78613478 1.31149308 0.12425713 0.12425130 0.12426410 0.12425591 10.99557429 1.29960017 0.12229610 0.12229028 0.12230312 0.12229486 11.20501380 1.28794007 0.12039013 0.12038433 0.12039719 0.12038888 11.41445331 1.27647461 0.11852954 0.11852377 0.11853663 0.11852828 11.62389282 1.26522378 0.11671928 0.11671350 0.11672638 0.11671803 11.83333233 1.25426133 0.11497708 0.11497130 0.11498418 0.11497582 12.04277184 1.24348906 0.11327814 0.11327235 0.11328523 0.11327689 12.25221135 1.23288794 0.11161771 0.11161191 0.11162478 0.11161647 12.46165086 1.22257404 0.11002416 0.11001836 0.11003123 0.11002292 12.67109037 1.21244765 0.10847258 0.10846680 0.10847965 0.10847133 12.88052988 1.20252156 0.10696610 0.10696035 0.10697318 0.10696486 13.08996939 1.19281761 0.10551007 0.10550432 0.10551713 0.10550883 13.29940890 1.18326523 0.10408660 0.10408084 0.10409362 0.10408536 13.50884841 1.17390392 0.10270530 0.10269956 0.10271231 0.10270407 13.71828792 1.16476571 0.10137399 0.10136825 0.10138096 0.10137276 13.92772743 1.15570527 0.10005696 0.10005123 0.10006390 0.10005574 14.13716694 1.14675963 0.09876327 0.09875758 0.09877020 0.09876207 14.34660645 1.13798060 0.09750539 0.09749972 0.09751230 0.09750420 14.55604596 1.12931043 0.09626920 0.09626353 0.09627607 0.09626802 14.76548547 1.12083348 0.09507515 0.09506948 0.09508198 0.09507398 14.97492498 1.11254337 0.09392157 0.09391591 0.09392835 0.09392041 15.18436449 1.10436668 0.09279056 0.09278491 0.09279730 0.09278940 15.39380400 1.09629991 0.09168121 0.09167559 0.09168793 0.09168006 15.60324351 1.08832887 0.09059007 0.09058447 0.09059676 0.09058893 15.81268302 1.08043400 0.08951236 0.08950678 0.08951900 0.08951123 16.02212253 1.07268487 0.08846488 0.08845933 0.08847150 0.08846378 16.23156204 1.06508714 0.08744898 0.08744345 0.08745556 0.08744788 16.44100155 1.05762730 0.08646134 0.08645584 0.08646790 0.08646025 16.65044106 1.05030591 0.08550211 0.08549665 0.08550865 0.08550103 16.85988057 1.04306101 0.08455621 0.08455078 0.08456272 0.08455514 17.06932008 1.03594112 0.08363539 0.08362998 0.08364186 0.08363433 17.27875959 1.02895928 0.08274282 0.08273742 0.08274924 0.08274177 17.48819910 1.02203437 0.08185880 0.08185342 0.08186518 0.08185776 17.69763862 1.01515957 0.08098170 0.08097634 0.08098804 0.08098066 17.90707813 1.00835348 0.08011607 0.08011074 0.08012238 0.08011503 18.11651764 1.00165790 0.07927202 0.07926672 0.07927830 0.07927099 18.32595715 0.99509238 0.07845425 0.07844898 0.07846050 0.07845323 18.53539666 0.98863170 0.07765665 0.07765140 0.07766285 0.07765564 18.74483617 0.98223543 0.07686943 0.07686420 0.07687559 0.07686843 18.95427568 0.97592653 0.07609820 0.07609300 0.07610433 0.07609721 19.16371519 0.96974055 0.07535156 0.07534639 0.07535766 0.07535058 19.37315470 0.96365272 0.07462348 0.07461834 0.07462955 0.07462251 19.58259421 0.95760740 0.07390055 0.07389544 0.07390658 0.07389959 19.79203372 0.95162046 0.07318664 0.07318156 0.07319264 0.07318570 20.00147323 0.94571755 0.07248800 0.07248294 0.07249395 0.07248707 20.21091274 0.93986498 0.07179651 0.07179147 0.07180241 0.07179559 20.42035225 0.93406309 0.07111227 0.07110724 0.07111812 0.07111135 20.62979176 0.92836475 0.07044801 0.07044301 0.07045383 0.07044710 20.83923127 0.92278679 0.06980780 0.06980282 0.06981358 0.06980689 21.04867078 0.91727564 0.06917874 0.06917379 0.06918449 0.06917784 21.25811029 0.91177222 0.06854664 0.06854175 0.06855238 0.06854576 21.46754980 0.90628472 0.06791355 0.06790869 0.06791926 0.06791267 21.67698931 0.90089520 0.06729922 0.06729440 0.06730491 0.06729835 21.88642882 0.89563503 0.06671122 0.06670642 0.06671687 0.06671036 22.09586833 0.89046779 0.06614079 0.06613602 0.06614641 0.06613994 22.30530784 0.88536438 0.06558095 0.06557620 0.06558654 0.06558011 22.51474735 0.88029126 0.06502366 0.06501894 0.06502922 0.06502283 22.72418686 0.87523104 0.06446479 0.06446010 0.06447031 0.06446396 22.93362637 0.87021819 0.06391266 0.06390799 0.06391815 0.06391184 23.14306588 0.86529192 0.06337673 0.06337209 0.06338218 0.06337592 23.35250539 0.86045185 0.06285692 0.06285231 0.06286235 0.06285612 23.56194490 0.85567446 0.06234761 0.06234303 0.06235301 0.06234682 23.77138441 0.85095798 0.06184839 0.06184383 0.06185375 0.06184760 23.98082392 0.84633316 0.06136666 0.06136212 0.06137199 0.06136587 24.19026343 0.84179970 0.06090238 0.06089786 0.06090768 0.06090160 24.39970294 0.83730413 0.06044275 0.06043825 0.06044801 0.06044197 24.60914245 0.83281907 0.05998124 0.05997676 0.05998647 0.05998047 24.81858196 0.82835957 0.05952150 0.05951704 0.05952670 0.05952074 25.02802147 0.82394072 0.05906716 0.05906273 0.05907234 0.05906641 25.23746098 0.81956663 0.05861926 0.05861485 0.05862440 0.05861851 25.44690049 0.81523730 0.05817781 0.05817343 0.05818293 0.05817707 25.65634000 0.81095210 0.05774270 0.05773834 0.05774779 0.05774196 25.86577951 0.80671035 0.05731380 0.05730946 0.05731885 0.05731307 26.07521902 0.80251140 0.05689097 0.05688666 0.05689600 0.05689025 26.28465854 0.79835459 0.05647411 0.05646982 0.05647911 0.05647339 26.49409805 0.79423931 0.05606307 0.05605881 0.05606805 0.05606236 26.70353756 0.79016492 0.05565776 0.05565352 0.05566270 0.05565705 26.91297707 0.78613082 0.05525805 0.05525383 0.05526296 0.05525734 27.12241658 0.78213642 0.05486383 0.05485963 0.05486872 0.05486313 27.33185609 0.77818114 0.05447499 0.05447082 0.05447985 0.05447430 27.54129560 0.77426441 0.05409144 0.05408728 0.05409627 0.05409075 27.75073511 0.77038567 0.05371305 0.05370892 0.05371786 0.05371237 27.96017462 0.76654437 0.05333974 0.05333564 0.05334452 0.05333907 28.16961413 0.76273998 0.05297141 0.05296733 0.05297617 0.05297074 28.37905364 0.75897196 0.05260796 0.05260390 0.05261269 0.05260729 28.58849315 0.75523982 0.05224930 0.05224526 0.05225400 0.05224864 28.79793266 0.75154303 0.05189534 0.05189132 0.05190002 0.05189468 29.00737217 0.74788111 0.05154599 0.05154199 0.05155064 0.05154533 29.21681168 0.74425358 0.05120116 0.05119718 0.05120578 0.05120051 29.42625119 0.74065994 0.05086077 0.05085681 0.05086537 0.05086012 29.63569070 0.73709974 0.05052473 0.05052079 0.05052931 0.05052409 29.84513021 0.73357252 0.05019298 0.05018906 0.05019753 0.05019234 30.05456972 0.73007783 0.04986542 0.04986152 0.04986995 0.04986479 30.26400923 0.72661522 0.04954199 0.04953811 0.04954649 0.04954136 30.47344874 0.72318426 0.04922260 0.04921874 0.04922708 0.04922198 30.68288825 0.71978452 0.04890719 0.04890335 0.04891164 0.04890657 30.89232776 0.71641559 0.04859568 0.04859186 0.04860011 0.04859507 31.10176727 0.71307705 0.04828801 0.04828421 0.04829241 0.04828740 31.31120678 0.70976848 0.04798410 0.04798032 0.04798848 0.04798349 31.52064629 0.70648950 0.04768388 0.04768012 0.04768824 0.04768328 31.73008580 0.70323971 0.04738730 0.04738356 0.04739164 0.04738670 31.93952531 0.70001872 0.04709429 0.04709057 0.04709860 0.04709369 32.14896482 0.69682615 0.04680478 0.04680108 0.04680907 0.04680419 32.35840433 0.69366164 0.04651871 0.04651503 0.04652298 0.04651813 32.56784384 0.69052481 0.04623603 0.04623237 0.04624028 0.04623545 32.77728335 0.68741532 0.04595668 0.04595303 0.04596090 0.04595610 32.98672286 0.68433279 0.04568059 0.04567696 0.04568479 0.04568001 33.19616237 0.68127690 0.04540771 0.04540410 0.04541190 0.04540714 33.40560188 0.67824730 0.04513800 0.04513440 0.04514216 0.04513743 33.61504139 0.67524365 0.04487139 0.04486781 0.04487553 0.04487082 33.82448090 0.67226562 0.04460783 0.04460427 0.04461195 0.04460727 34.03392041 0.66931290 0.04434727 0.04434373 0.04435137 0.04434671 34.24335992 0.66638517 0.04408967 0.04408614 0.04409374 0.04408911 34.45279943 0.66348210 0.04383496 0.04383146 0.04383902 0.04383441 34.66223894 0.66060340 0.04358312 0.04357963 0.04358716 0.04358257 34.87167845 0.65774877 0.04333408 0.04333061 0.04333810 0.04333354 35.08111797 0.65491790 0.04308781 0.04308435 0.04309180 0.04308727 35.29055748 0.65211050 0.04284425 0.04284081 0.04284823 0.04284371 35.49999699 0.64932629 0.04260337 0.04259995 0.04260733 0.04260284 35.70943650 0.64656499 0.04236512 0.04236171 0.04236906 0.04236459 35.91887601 0.64382631 0.04212946 0.04212607 0.04213338 0.04212893 36.12831552 0.64110998 0.04189635 0.04189298 0.04190025 0.04189583 36.33775503 0.63841574 0.04166575 0.04166239 0.04166963 0.04166523 36.54719454 0.63574332 0.04143762 0.04143428 0.04144148 0.04143710 36.75663405 0.63309245 0.04121192 0.04120859 0.04121576 0.04121140 36.96607356 0.63046289 0.04098861 0.04098530 0.04099244 0.04098810 37.17551307 0.62785438 0.04076766 0.04076436 0.04077147 0.04076715 37.38495258 0.62526667 0.04054903 0.04054575 0.04055282 0.04054852 37.59439209 0.62269952 0.04033268 0.04032941 0.04033645 0.04033217 37.80383160 0.62015268 0.04011858 0.04011533 0.04012234 0.04011808 38.01327111 0.61762592 0.03990670 0.03990346 0.03991044 0.03990620 38.22271062 0.61511901 0.03969700 0.03969378 0.03970072 0.03969650 38.43215013 0.61263172 0.03948945 0.03948624 0.03949315 0.03948895 38.64158964 0.61016382 0.03928402 0.03928082 0.03928770 0.03928352 38.85102915 0.60771508 0.03908067 0.03907749 0.03908434 0.03908018 39.06046866 0.60528529 0.03887938 0.03887621 0.03888303 0.03887889 39.26990817 0.60287424 0.03868011 0.03867696 0.03868374 0.03867963 39.47934768 0.60048171 0.03848284 0.03847970 0.03848645 0.03848236 39.68878719 0.59810749 0.03828753 0.03828441 0.03829113 0.03828705 39.89822670 0.59575137 0.03809416 0.03809105 0.03809774 0.03809368 40.10766621 0.59341315 0.03790270 0.03789961 0.03790627 0.03790223 40.31710572 0.59109263 0.03771312 0.03771004 0.03771667 0.03771265 40.52654523 0.58878961 0.03752540 0.03752233 0.03752893 0.03752493 40.73598474 0.58650389 0.03733950 0.03733645 0.03734302 0.03733903 40.94542425 0.58423529 0.03715541 0.03715237 0.03715891 0.03715494 41.15486376 0.58198361 0.03697309 0.03697006 0.03697657 0.03697262 41.36430327 0.57974866 0.03679252 0.03678950 0.03679599 0.03679206 41.57374278 0.57753026 0.03661367 0.03661067 0.03661713 0.03661321 41.78318229 0.57532824 0.03643653 0.03643354 0.03643997 0.03643607 41.99262180 0.57314240 0.03626106 0.03625809 0.03626449 0.03626061 42.20206131 0.57097258 0.03608725 0.03608429 0.03609066 0.03608680 42.41150082 0.56881860 0.03591507 0.03591212 0.03591847 0.03591463 42.62094033 0.56668028 0.03574450 0.03574157 0.03574788 0.03574406 42.83037984 0.56455747 0.03557552 0.03557259 0.03557888 0.03557507 43.03981935 0.56244999 0.03540810 0.03540519 0.03541145 0.03540766 43.24925886 0.56035768 0.03524222 0.03523932 0.03524556 0.03524178 43.45869837 0.55828038 0.03507787 0.03507498 0.03508119 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