# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.05235988 3.57631505 0.79844672 0.79945539 0.79931226 0.79635672 0.15707963 3.67679937 0.79830659 0.79857356 0.79640305 0.79973115 0.26179939 3.47364398 0.73753862 0.73756243 0.73530210 0.73958925 0.36651914 3.28947451 0.68374799 0.68376730 0.68180440 0.68559639 0.47123890 3.14344733 0.63999087 0.63997060 0.63835692 0.64148515 0.57595865 3.02889788 0.60431270 0.60435806 0.60304966 0.60547631 0.68067841 2.93659387 0.57453882 0.57461283 0.57355294 0.57543466 0.78539816 2.86038838 0.54913052 0.54924207 0.54837875 0.54982062 0.89011792 2.79541446 0.52694693 0.52705098 0.52634190 0.52748114 0.99483767 2.73885838 0.50728367 0.50738567 0.50679782 0.50770174 1.09955743 2.68828693 0.48953365 0.48963959 0.48914761 0.48986409 1.20427718 2.64252269 0.47339466 0.47349420 0.47307861 0.47365837 1.30899694 2.60043371 0.45853431 0.45861895 0.45826505 0.45874731 1.41371669 2.56153296 0.44485152 0.44492263 0.44461830 0.44502604 1.51843645 2.52498392 0.43210115 0.43215691 0.43189358 0.43224594 1.62315620 2.49032770 0.42012696 0.42017421 0.41994504 0.42024874 1.72787596 2.45730139 0.40886073 0.40890331 0.40870263 0.40896451 1.83259571 2.42573898 0.39823720 0.39827454 0.39809807 0.39832646 1.93731547 2.39572852 0.38824641 0.38828248 0.38812656 0.38832386 2.04203522 2.36661628 0.37871141 0.37874018 0.37860199 0.37877942 2.14675498 2.33872212 0.36970327 0.36972611 0.36960308 0.36976377 2.25147474 2.31181941 0.36114089 0.36116595 0.36105613 0.36119484 2.35619449 2.28568544 0.35294856 0.35296964 0.35287141 0.35299690 2.46091425 2.26019364 0.34507394 0.34509415 0.34500612 0.34511751 2.56563400 2.23567915 0.33760937 0.33762641 0.33754745 0.33764889 2.67035376 2.21187464 0.33046374 0.33047728 0.33040641 0.33049972 2.77507351 2.18883206 0.32363388 0.32364582 0.32358214 0.32366675 2.87979327 2.16624574 0.31703525 0.31704544 0.31698820 0.31706539 2.98451302 2.14418050 0.31067883 0.31068641 0.31063498 0.31070660 3.08923278 2.12268220 0.30456804 0.30457606 0.30452987 0.30459359 3.19395253 2.10169583 0.29867891 0.29868715 0.29864576 0.29870242 3.29867229 2.08133239 0.29302764 0.29303690 0.29299974 0.29304931 3.40339204 2.06163337 0.28763012 0.28763740 0.28760409 0.28765012 3.50811180 2.04226692 0.28238593 0.28239083 0.28236105 0.28240445 3.61283155 2.02356227 0.27737765 0.27738111 0.27735454 0.27739484 3.71755131 2.00534846 0.27255339 0.27255500 0.27253134 0.27256932 3.82227106 1.98732105 0.26782856 0.26782927 0.26780829 0.26784335 3.92699082 1.96983638 0.26329411 0.26329465 0.26327610 0.26330782 4.03171057 1.95273408 0.25890388 0.25890356 0.25888725 0.25891657 4.13643033 1.93577269 0.25459299 0.25459158 0.25457737 0.25460477 4.24115008 1.91943508 0.25048384 0.25048188 0.25046961 0.25049476 4.34586984 1.90355677 0.24653211 0.24653079 0.24652026 0.24654220 4.45058959 1.88793804 0.24268017 0.24267843 0.24266951 0.24268949 4.55530935 1.87264273 0.23894003 0.23893752 0.23893010 0.23894867 4.66002910 1.85762338 0.23530011 0.23529744 0.23529142 0.23530810 4.76474886 1.84301491 0.23179329 0.23179113 0.23178637 0.23180066 4.86946861 1.82864314 0.22837180 0.22836980 0.22836619 0.22837859 4.97418837 1.81457888 0.22505335 0.22505129 0.22504878 0.22505961 5.07890812 1.80097703 0.22187542 0.22187357 0.22187206 0.22188117 5.18362788 1.78754699 0.21875962 0.21875772 0.21875715 0.21876489 5.28834763 1.77418597 0.21567983 0.21567777 0.21567810 0.21568465 5.39306739 1.76121888 0.21271980 0.21271769 0.21271885 0.21272420 5.49778714 1.74851729 0.20984399 0.20984161 0.20984353 0.20984801 5.60250690 1.73592147 0.20700955 0.20700665 0.20700928 0.20701322 5.70722665 1.72370345 0.20428739 0.20428401 0.20428733 0.20429073 5.81194641 1.71171789 0.20163682 0.20163327 0.20163722 0.20163984 5.91666616 1.69984968 0.19902629 0.19902261 0.19902712 0.19902904 6.02138592 1.68825459 0.19649604 0.19649223 0.19649728 0.19649852 6.12610567 1.67700698 0.19406518 0.19406130 0.19406686 0.19406738 6.23082543 1.66583597 0.19166394 0.19165999 0.19166602 0.19166590 6.33554518 1.65481630 0.18931189 0.18930768 0.18931417 0.18931362 6.44026494 1.64409079 0.18704329 0.18703870 0.18704562 0.18704482 6.54498469 1.63359733 0.18484040 0.18483558 0.18484289 0.18484174 6.64970445 1.62327430 0.18268668 0.18268203 0.18268971 0.18268782 6.75442421 1.61309527 0.18057612 0.18057170 0.18057971 0.18057707 6.85914396 1.60301054 0.17849644 0.17849203 0.17850035 0.17849723 6.96386372 1.59298180 0.17643643 0.17643185 0.17644047 0.17643709 7.06858347 1.58319930 0.17444440 0.17443968 0.17444858 0.17444492 7.17330323 1.57362710 0.17251085 0.17250616 0.17251534 0.17251123 7.27802298 1.56420292 0.17061873 0.17061406 0.17062348 0.17061899 7.38274274 1.55496291 0.16877649 0.16877167 0.16878131 0.16877662 7.48746249 1.54581624 0.16696221 0.16695729 0.16696716 0.16696223 7.59218225 1.53671718 0.16516409 0.16515920 0.16516928 0.16516401 7.69690200 1.52772202 0.16339563 0.16339075 0.16340102 0.16339546 7.80162176 1.51884443 0.16166061 0.16165566 0.16166611 0.16166037 7.90634151 1.51018097 0.15998241 0.15997727 0.15998791 0.15998209 8.01106127 1.50172537 0.15835847 0.15835317 0.15836396 0.15835807 8.11578102 1.49331427 0.15674812 0.15674277 0.15675372 0.15674765 8.22050078 1.48496837 0.15515665 0.15515133 0.15516243 0.15515612 8.32522053 1.47682138 0.15361713 0.15361181 0.15362305 0.15361653 8.42994029 1.46882127 0.15211595 0.15211063 0.15212199 0.15211529 8.53466004 1.46086318 0.15062685 0.15062151 0.15063298 0.15062615 8.63937980 1.45298442 0.14915943 0.14915396 0.14916554 0.14915869 8.74409955 1.44523764 0.14772662 0.14772097 0.14773266 0.14772585 8.84881931 1.43758027 0.14631754 0.14631180 0.14632360 0.14631671 8.95353906 1.43005611 0.14494301 0.14493726 0.14494916 0.14494214 9.05825882 1.42269324 0.14360971 0.14360395 0.14361594 0.14360880 9.16297857 1.41545192 0.14230731 0.14230160 0.14231368 0.14230636 9.26769833 1.40833652 0.14103676 0.14103107 0.14104322 0.14103578 9.37241808 1.40133218 0.13979419 0.13978847 0.13980067 0.13979318 9.47713784 1.39432839 0.13855215 0.13854641 0.13855867 0.13855112 9.58185759 1.38731830 0.13730925 0.13730349 0.13731581 0.13730819 9.68657735 1.38037648 0.13608368 0.13607788 0.13609025 0.13608260 9.79129710 1.37351112 0.13487713 0.13487132 0.13488374 0.13487602 9.89601686 1.36675421 0.13369797 0.13369217 0.13370465 0.13369684 10.00073661 1.36015906 0.13255957 0.13255378 0.13256631 0.13255843 10.10545637 1.35367842 0.13144962 0.13144382 0.13145639 0.13144847 10.21017612 1.34725087 0.13035256 0.13034674 0.13035934 0.13035140 10.31489588 1.34088493 0.12927033 0.12926448 0.12927713 0.12926916 10.41961563 1.33458759 0.12820457 0.12819870 0.12821137 0.12820338 10.52433539 1.32834513 0.12715208 0.12714620 0.12715891 0.12715088 10.62905514 1.32216379 0.12611455 0.12610869 0.12612142 0.12611332 10.73377490 1.31603154 0.12508887 0.12508305 0.12509582 0.12508763 10.83849465 1.30992487 0.12406923 0.12406346 0.12407624 0.12406798 10.94321441 1.30389546 0.12306844 0.12306266 0.12307546 0.12306718 11.04793417 1.29801074 0.12210296 0.12209715 0.12210998 0.12210171 11.15265392 1.29226822 0.12117192 0.12116606 0.12117891 0.12117066 11.25737368 1.28661213 0.12026134 0.12025543 0.12026828 0.12026007 11.36209343 1.28096293 0.11935160 0.11934567 0.11935852 0.11935033 11.46681319 1.27528448 0.11843400 0.11842809 0.11844095 0.11843272 11.57153294 1.26963558 0.11752311 0.11751725 0.11753011 0.11752182 11.67625270 1.26408777 0.11663643 0.11663061 0.11664349 0.11663514 11.78097245 1.25865603 0.11577762 0.11577184 0.11578472 0.11577633 11.88569221 1.25330765 0.11493863 0.11493288 0.11494576 0.11493735 11.99041196 1.24797599 0.11410294 0.11409720 0.11411007 0.11410166 12.09513172 1.24262076 0.11326039 0.11325463 0.11326750 0.11325912 12.19985147 1.23726433 0.11241643 0.11241065 0.11242352 0.11241517 12.30457123 1.23195633 0.11158340 0.11157760 0.11159047 0.11158214 12.40929098 1.22672690 0.11076879 0.11076297 0.11077584 0.11076752 12.51401074 1.22157321 0.10997187 0.10996604 0.10997890 0.10997060 12.61873049 1.21649482 0.10919254 0.10918669 0.10919955 0.10919127 12.72345025 1.21151008 0.10843521 0.10842937 0.10844222 0.10843393 12.82817000 1.20662410 0.10770099 0.10769518 0.10770803 0.10769970 12.93288976 1.20180746 0.10698266 0.10697689 0.10698971 0.10698137 13.03760951 1.19701499 0.10626920 0.10626345 0.10627625 0.10626792 13.14232927 1.19223116 0.10555678 0.10555102 0.10556382 0.10555551 13.24704902 1.18747973 0.10485113 0.10484538 0.10485815 0.10484987 13.35176878 1.18276225 0.10415262 0.10414686 0.10415962 0.10415137 13.45648853 1.17804691 0.10345350 0.10344775 0.10346048 0.10345225 13.56120829 1.17333124 0.10275322 0.10274748 0.10276019 0.10275198 13.66592804 1.16863715 0.10205716 0.10205141 0.10206411 0.10205591 13.77064780 1.16397662 0.10136820 0.10136246 0.10137515 0.10136696 13.87536755 1.15937739 0.10069310 0.10068738 0.10070005 0.10069187 13.98008731 1.15487665 0.10004091 0.10003521 0.10004786 0.10003968 14.08480706 1.15046268 0.09940866 0.09940298 0.09941561 0.09940745 14.18952682 1.14608676 0.09878443 0.09877875 0.09879136 0.09878322 14.29424657 1.14172964 0.09816355 0.09815787 0.09817045 0.09816236 14.39896633 1.13739893 0.09754793 0.09754225 0.09755480 0.09754675 14.50368608 1.13308428 0.09693504 0.09692934 0.09694187 0.09693386 14.60840584 1.12876492 0.09631974 0.09631404 0.09632655 0.09631856 14.71312559 1.12445243 0.09570485 0.09569916 0.09571165 0.09570368 14.81784535 1.12019039 0.09510102 0.09509534 0.09510780 0.09509985 14.92256510 1.11600716 0.09451513 0.09450947 0.09452191 0.09451397 15.02728486 1.11189348 0.09394492 0.09393927 0.09395169 0.09394376 15.13200461 1.10782888 0.09338537 0.09337973 0.09339213 0.09338421 15.23672437 1.10380081 0.09283343 0.09282779 0.09284017 0.09283227 15.34144413 1.09979427 0.09228543 0.09227981 0.09229216 0.09228427 15.44616388 1.09579208 0.09173721 0.09173161 0.09174393 0.09173606 15.55088364 1.09179272 0.09118842 0.09118284 0.09119513 0.09118727 15.65560339 1.08781110 0.09064266 0.09063711 0.09064937 0.09064153 15.76032315 1.08386148 0.09010341 0.09009787 0.09011009 0.09010229 15.86504290 1.07995289 0.08957283 0.08956730 0.08957950 0.08957173 15.96976266 1.07609021 0.08905210 0.08904657 0.08905874 0.08905101 16.07448241 1.07226052 0.08853807 0.08853254 0.08854468 0.08853697 16.17920217 1.06843619 0.08802401 0.08801849 0.08803060 0.08802292 16.28392192 1.06460982 0.08750818 0.08750265 0.08751474 0.08750709 16.38864168 1.06080958 0.08699742 0.08699190 0.08700396 0.08699633 16.49336143 1.05707011 0.08650016 0.08649465 0.08650668 0.08649908 16.59808119 1.05340354 0.08601935 0.08601384 0.08602584 0.08601827 16.70280094 1.04979877 0.08555224 0.08554674 0.08555872 0.08555117 16.80752070 1.04623112 0.08509281 0.08508732 0.08509927 0.08509174 16.91224045 1.04267232 0.08463417 0.08462869 0.08464062 0.08463310 17.01696021 1.03910465 0.08417205 0.08416658 0.08417848 0.08417098 17.12167996 1.03552975 0.08370687 0.08370142 0.08371329 0.08370580 17.22639972 1.03196582 0.08324307 0.08323763 0.08324947 0.08324200 17.33111947 1.02843868 0.08278691 0.08278147 0.08279329 0.08278584 17.43583923 1.02496648 0.08234276 0.08233735 0.08234913 0.08234170 17.54055898 1.02154404 0.08190938 0.08190398 0.08191573 0.08190832 17.64527874 1.01814660 0.08148074 0.08147536 0.08148708 0.08147968 17.74999849 1.01475541 0.08105230 0.08104695 0.08105863 0.08105126 17.85471825 1.01137732 0.08062573 0.08062039 0.08063204 0.08062469 17.95943800 1.00803668 0.08020690 0.08020159 0.08021321 0.08020588 18.06415776 1.00474888 0.07979957 0.07979427 0.07980585 0.07979856 18.16887751 1.00150057 0.07940048 0.07939519 0.07940675 0.07939948 18.27359727 0.99825605 0.07900100 0.07899572 0.07900724 0.07900001 18.37831702 0.99498569 0.07859397 0.07858870 0.07860019 0.07859298 18.48303678 0.99168850 0.07817915 0.07817391 0.07818536 0.07817817 18.58775653 0.98838940 0.07776259 0.07775737 0.07776879 0.07776161 18.69247629 0.98512262 0.07735257 0.07734736 0.07735875 0.07735160 18.79719604 0.98191671 0.07695598 0.07695078 0.07696214 0.07695501 18.90191580 0.97878161 0.07657523 0.07657003 0.07658137 0.07657426 19.00663555 0.97570235 0.07620669 0.07620149 0.07621280 0.07620572 19.11135531 0.97264950 0.07584325 0.07583806 0.07584934 0.07584227 19.21607506 0.96959989 0.07547929 0.07547412 0.07548537 0.07547831 19.32079482 0.96654500 0.07511276 0.07510761 0.07511883 0.07511179 19.42551457 0.96348171 0.07474292 0.07473780 0.07474898 0.07474196 19.53023433 0.96040440 0.07436843 0.07436333 0.07437448 0.07436747 19.63495408 0.95731290 0.07398926 0.07398418 0.07399529 0.07398830 19.73967384 0.95422450 0.07360959 0.07360453 0.07361561 0.07360864 19.84439360 0.95116942 0.07323672 0.07323168 0.07324273 0.07323577 19.94911335 0.94817081 0.07287622 0.07287119 0.07288221 0.07287527 20.05383311 0.94523008 0.07252842 0.07252341 0.07253440 0.07252749 20.15855286 0.94233120 0.07218946 0.07218446 0.07219543 0.07218853 20.26327262 0.93945646 0.07185507 0.07185008 0.07186102 0.07185415 20.36799237 0.93659833 0.07152344 0.07151846 0.07152937 0.07152252 20.47271213 0.93375844 0.07119496 0.07118999 0.07120086 0.07119405 20.57743188 0.93093795 0.07086992 0.07086496 0.07087580 0.07086902 20.68215164 0.92813268 0.07054731 0.07054236 0.07055317 0.07054641 20.78687139 0.92533815 0.07022605 0.07022111 0.07023188 0.07022515 20.89159115 0.92255521 0.06990633 0.06990140 0.06991215 0.06990544 20.99631090 0.91978776 0.06958911 0.06958420 0.06959491 0.06958822 21.10103066 0.91703825 0.06927498 0.06927009 0.06928077 0.06927410 21.20575041 0.91430726 0.06896409 0.06895921 0.06896987 0.06896321 21.31047017 0.91159428 0.06865633 0.06865147 0.06866209 0.06865545 21.41518992 0.90889598 0.06835090 0.06834605 0.06835664 0.06835002 21.51990968 0.90620483 0.06804598 0.06804115 0.06805170 0.06804511 21.62462943 0.90351224 0.06773951 0.06773469 0.06774521 0.06773865 21.72934919 0.90081341 0.06743034 0.06742553 0.06743602 0.06742948 21.83406894 0.89810948 0.06711875 0.06711395 0.06712441 0.06711788 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