# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.05235988 3.57639054 0.79830535 0.79946504 0.79929031 0.79622398 0.15707963 3.67619150 0.79803383 0.79842497 0.79625415 0.79946607 0.26179939 3.47302138 0.73728632 0.73740610 0.73515023 0.73933922 0.36651914 3.28820195 0.68338482 0.68344720 0.68149061 0.68523370 0.47123890 3.14266470 0.63975669 0.63980719 0.63819694 0.64125076 0.57595865 3.02870798 0.60426386 0.60432855 0.60302264 0.60542713 0.68067841 2.93692248 0.57461313 0.57469244 0.57363391 0.57550975 0.78539816 2.86046197 0.54915645 0.54924003 0.54837781 0.54984688 0.89011792 2.79553304 0.52698537 0.52706822 0.52635990 0.52752009 0.99483767 2.73888853 0.50730077 0.50738205 0.50679447 0.50771833 1.09955743 2.68846421 0.48958860 0.48966306 0.48917089 0.48991841 1.20427718 2.64254082 0.47339242 0.47346736 0.47305168 0.47365609 1.30899694 2.60054205 0.45856913 0.45863559 0.45828130 0.45878277 1.41371669 2.56148097 0.44484482 0.44490620 0.44460184 0.44501983 1.51843645 2.52495097 0.43208630 0.43214312 0.43187965 0.43223158 1.62315620 2.49034265 0.42012285 0.42017616 0.41994677 0.42024493 1.72787596 2.45737031 0.40886510 0.40891197 0.40871121 0.40896901 1.83259571 2.42592078 0.39826782 0.39831157 0.39813496 0.39835721 1.93731547 2.39577914 0.38824820 0.38828834 0.38813231 0.38832594 2.04203522 2.36686889 0.37876976 0.37880518 0.37866681 0.37883798 2.14675498 2.33897768 0.36975749 0.36979013 0.36966696 0.36981794 2.25147474 2.31195455 0.36115806 0.36118949 0.36107962 0.36121193 2.35619449 2.28569891 0.35293468 0.35296322 0.35286502 0.35298299 2.46091425 2.26027432 0.34508737 0.34511160 0.34502366 0.34513090 2.56563400 2.23574179 0.33761785 0.33763817 0.33755925 0.33765736 2.67035376 2.21172852 0.33041609 0.33043325 0.33036237 0.33045208 2.77507351 2.18836096 0.32350571 0.32352090 0.32345727 0.32353860 2.87979327 2.16585932 0.31693964 0.31695265 0.31689553 0.31696977 2.98451302 2.14405204 0.31065221 0.31066361 0.31061223 0.31067991 3.08923278 2.12267422 0.30456874 0.30457800 0.30453177 0.30459431 3.19395253 2.10183172 0.29871657 0.29872428 0.29868277 0.29874014 3.29867229 2.08161742 0.29310783 0.29311451 0.29307728 0.29312962 3.40339204 2.06189767 0.28770335 0.28770974 0.28767639 0.28772348 3.50811180 2.04256802 0.28246543 0.28247103 0.28244120 0.28248407 3.61283155 2.02373104 0.27741854 0.27742388 0.27739726 0.27743577 3.71755131 2.00534331 0.27254744 0.27255207 0.27252838 0.27256337 3.82227106 1.98732052 0.26782513 0.26782855 0.26780755 0.26783989 3.92699082 1.96976296 0.26327476 0.26327651 0.26325798 0.26328845 4.03171057 1.95263347 0.25887989 0.25888088 0.25886462 0.25889257 4.13643033 1.93593831 0.25463798 0.25463888 0.25462468 0.25464973 4.24115008 1.91959928 0.25052905 0.25052932 0.25051703 0.25053993 4.34586984 1.90352953 0.24652412 0.24652405 0.24651352 0.24653419 4.45058959 1.88791412 0.24267100 0.24267064 0.24266172 0.24268032 4.55530935 1.87263134 0.23893497 0.23893434 0.23892692 0.23894358 4.66002910 1.85775229 0.23533239 0.23533157 0.23532553 0.23534033 4.76474886 1.84316032 0.23182994 0.23182911 0.23182436 0.23183726 4.86946861 1.82884806 0.22842344 0.22842242 0.22841884 0.22843018 4.97418837 1.81465561 0.22507170 0.22507025 0.22506778 0.22507790 5.07890812 1.80078012 0.22182424 0.22182234 0.22182090 0.22182995 5.18362788 1.78729838 0.21869690 0.21869475 0.21869425 0.21870215 5.28834763 1.77415989 0.21567585 0.21567349 0.21567387 0.21568066 5.39306739 1.76125259 0.21273119 0.21272853 0.21272973 0.21273559 5.49778714 1.74853505 0.20985020 0.20984738 0.20984933 0.20985422 5.60250690 1.73597170 0.20702316 0.20702021 0.20702288 0.20702682 5.70722665 1.72363536 0.20426849 0.20426533 0.20426867 0.20427181 5.81194641 1.71159364 0.20160254 0.20159908 0.20160304 0.20160556 5.91666616 1.69986462 0.19902840 0.19902474 0.19902929 0.19903112 6.02138592 1.68835757 0.19652172 0.19651787 0.19652294 0.19652417 6.12610567 1.67702072 0.19406875 0.19406468 0.19407026 0.19407096 6.23082543 1.66586937 0.19167286 0.19166862 0.19167468 0.19167482 6.33554518 1.65485421 0.18932014 0.18931583 0.18932233 0.18932187 6.44026494 1.64397843 0.18701157 0.18700728 0.18701420 0.18701309 6.54498469 1.63334964 0.18477392 0.18476953 0.18477684 0.18477524 6.64970445 1.62294074 0.18259909 0.18259467 0.18260234 0.18260023 6.75442421 1.61270384 0.18047468 0.18047028 0.18047830 0.18047564 6.85914396 1.60261666 0.17839471 0.17839021 0.17839854 0.17839551 6.96386372 1.59269882 0.17636387 0.17635915 0.17636779 0.17636453 7.06858347 1.58292371 0.17437435 0.17436948 0.17437841 0.17437487 7.17330323 1.57328057 0.17242278 0.17241784 0.17242705 0.17242317 7.27802298 1.56380956 0.17051929 0.17051431 0.17052376 0.17051955 7.38274274 1.55455620 0.16867523 0.16867018 0.16867988 0.16867539 7.48746249 1.54549107 0.16688269 0.16687751 0.16688742 0.16688274 7.59218225 1.53651753 0.16511682 0.16511152 0.16512164 0.16511678 7.69690200 1.52764759 0.16338019 0.16337484 0.16338516 0.16338006 7.80162176 1.51889112 0.16167477 0.16166943 0.16167993 0.16167454 7.90634151 1.51026448 0.16000465 0.15999937 0.16001004 0.16000433 8.01106127 1.50174284 0.15836377 0.15835850 0.15836932 0.15836337 8.11578102 1.49330368 0.15674641 0.15674111 0.15675209 0.15674594 8.22050078 1.48498699 0.15516240 0.15515706 0.15516819 0.15516185 8.32522053 1.47681085 0.15361579 0.15361045 0.15362172 0.15361518 8.42994029 1.46876909 0.15210455 0.15209924 0.15211063 0.15210388 8.53466004 1.46084582 0.15062472 0.15061940 0.15063091 0.15062400 8.63937980 1.45302832 0.14917301 0.14916765 0.14917927 0.14917224 8.74409955 1.44534252 0.14775546 0.14775006 0.14776178 0.14775466 8.84881931 1.43776859 0.14636701 0.14636157 0.14637339 0.14636617 8.95353906 1.43028711 0.14500278 0.14499731 0.14500921 0.14500190 9.05825882 1.42290270 0.14366357 0.14365805 0.14367005 0.14366265 9.16297857 1.41559738 0.14234477 0.14233922 0.14235130 0.14234381 9.26769833 1.40838016 0.14104883 0.14104328 0.14105543 0.14104784 9.37241808 1.40127097 0.13978064 0.13977508 0.13978730 0.13977962 9.47713784 1.39425214 0.13853546 0.13852988 0.13854217 0.13853442 9.58185759 1.38732272 0.13731279 0.13730720 0.13731955 0.13731172 9.68657735 1.38051079 0.13611944 0.13611386 0.13612627 0.13611834 9.79129710 1.37377274 0.13494454 0.13493895 0.13495141 0.13494343 9.89601686 1.36706415 0.13377711 0.13377150 0.13378400 0.13377598 10.00073661 1.36040288 0.13262157 0.13261594 0.13262848 0.13262042 10.10545637 1.35383813 0.13149008 0.13148443 0.13149701 0.13148893 10.21017612 1.34738266 0.13038574 0.13038005 0.13039267 0.13038457 10.31489588 1.34098241 0.12929495 0.12928923 0.12930187 0.12929378 10.41961563 1.33461316 0.12821167 0.12820591 0.12821859 0.12821048 10.52433539 1.32831773 0.12714651 0.12714073 0.12715344 0.12714531 10.62905514 1.32213493 0.12610900 0.12610321 0.12611595 0.12610779 10.73377490 1.31606144 0.12509817 0.12509234 0.12510511 0.12509695 10.83849465 1.31006419 0.12410564 0.12409977 0.12411256 0.12410441 10.94321441 1.30412210 0.12312608 0.12312021 0.12313302 0.12312484 11.04793417 1.29824215 0.12216129 0.12215544 0.12216827 0.12216003 11.15265392 1.29241125 0.12120804 0.12120223 0.12121507 0.12120678 11.25737368 1.28659732 0.12025840 0.12025261 0.12026546 0.12025714 11.36209343 1.28080473 0.11931347 0.11930766 0.11932051 0.11931221 11.46681319 1.27507387 0.11838318 0.11837734 0.11839020 0.11838192 11.57153294 1.26943149 0.11747404 0.11746817 0.11748105 0.11747277 11.67625270 1.26389269 0.11658960 0.11658374 0.11659664 0.11658832 11.78097245 1.25845139 0.11572831 0.11572247 0.11573537 0.11572702 11.88569221 1.25306920 0.11488071 0.11487491 0.11488781 0.11487942 11.99041196 1.24772367 0.11404130 0.11403553 0.11404843 0.11404001 12.09513172 1.24242164 0.11321169 0.11320594 0.11321884 0.11321040 12.19985147 1.23716917 0.11239332 0.11238759 0.11240048 0.11239203 12.30457123 1.23196731 0.11158648 0.11158076 0.11159364 0.11158520 12.40929098 1.22681538 0.11079104 0.11078531 0.11079818 0.11078976 12.51401074 1.22169788 0.11000314 0.10999740 0.11001026 0.11000187 12.61873049 1.21659782 0.10921856 0.10921280 0.10922566 0.10921729 12.72345025 1.21152593 0.10843985 0.10843408 0.10844693 0.10843858 12.82817000 1.20650211 0.10767183 0.10766605 0.10767889 0.10767057 12.93288976 1.20153401 0.10691637 0.10691058 0.10692341 0.10691510 13.03760951 1.19662420 0.10617411 0.10616832 0.10618114 0.10617285 13.14232927 1.19176673 0.10544360 0.10543781 0.10545062 0.10544234 13.24704902 1.18695399 0.10472296 0.10471716 0.10472996 0.10472169 13.35176878 1.18218933 0.10401300 0.10400722 0.10402000 0.10401174 13.45648853 1.17747297 0.10331380 0.10330802 0.10332079 0.10331254 13.56120829 1.17279665 0.10262326 0.10261750 0.10263026 0.10262201 13.66592804 1.16816662 0.10194288 0.10193713 0.10194987 0.10194163 13.77064780 1.16360346 0.10127767 0.10127195 0.10128468 0.10127642 13.87536755 1.15911178 0.10062876 0.10062307 0.10063578 0.10062752 13.98008731 1.15467308 0.09999161 0.09998594 0.09999862 0.09999037 14.08480706 1.15026678 0.09936115 0.09935550 0.09936816 0.09935991 14.18952682 1.14587828 0.09873383 0.09872820 0.09874083 0.09873260 14.29424657 1.14149604 0.09810684 0.09810122 0.09811383 0.09810562 14.39896633 1.13712056 0.09748028 0.09747466 0.09748725 0.09747906 14.50368608 1.13276797 0.09685807 0.09685246 0.09686503 0.09685686 14.60840584 1.12845881 0.09624523 0.09623963 0.09625218 0.09624403 14.71312559 1.12421385 0.09564685 0.09564125 0.09565377 0.09564565 14.81784535 1.12004581 0.09506597 0.09506037 0.09507287 0.09506478 14.92256510 1.11594274 0.09449963 0.09449403 0.09450651 0.09449845 15.02728486 1.11187835 0.09394141 0.09393582 0.09394827 0.09394024 15.13200461 1.10783508 0.09338704 0.09338145 0.09339387 0.09338588 15.23672437 1.10380409 0.09283436 0.09282878 0.09284117 0.09283320 15.34144413 1.09978069 0.09228223 0.09227665 0.09228902 0.09228107 15.44616388 1.09576835 0.09173151 0.09172594 0.09173828 0.09173036 15.55088364 1.09177394 0.09118389 0.09117833 0.09119064 0.09118275 15.65560339 1.08779992 0.09063997 0.09063441 0.09064669 0.09063882 15.76032315 1.08385008 0.09010063 0.09009509 0.09010735 0.09009949 15.86504290 1.07993365 0.08956813 0.08956261 0.08957484 0.08956699 15.96976266 1.07605667 0.08904395 0.08903845 0.08905065 0.08904281 16.07448241 1.07221806 0.08852782 0.08852233 0.08853450 0.08852668 16.17920217 1.06841540 0.08801914 0.08801368 0.08802582 0.08801802 16.28392192 1.06464851 0.08751787 0.08751241 0.08752452 0.08751676 16.38864168 1.06091677 0.08702383 0.08701837 0.08703045 0.08702273 16.49336143 1.05721376 0.08653545 0.08652998 0.08654203 0.08653435 16.59808119 1.05352874 0.08605010 0.08604463 0.08605665 0.08604901 16.70280094 1.04985950 0.08556725 0.08556178 0.08557378 0.08556616 16.80752070 1.04621880 0.08509001 0.08508456 0.08509653 0.08508893 16.91224045 1.04262244 0.08462224 0.08461681 0.08462876 0.08462116 17.01696021 1.03907285 0.08416451 0.08415910 0.08417102 0.08416343 17.12167996 1.03555597 0.08371339 0.08370801 0.08371990 0.08371233 17.22639972 1.03205374 0.08326451 0.08325915 0.08327100 0.08326345 17.33111947 1.02855863 0.08281604 0.08281069 0.08282251 0.08281499 17.43583923 1.02507492 0.08236905 0.08236371 0.08237549 0.08236800 17.54055898 1.02160875 0.08192503 0.08191969 0.08193144 0.08192399 17.64527874 1.01816271 0.08148460 0.08147927 0.08149098 0.08148357 17.74999849 1.01473919 0.08104833 0.08104301 0.08105468 0.08104730 17.85471825 1.01134218 0.08061717 0.08061185 0.08062350 0.08061615 17.95943800 1.00797430 0.08019176 0.08018644 0.08019806 0.08019074 18.06415776 1.00463495 0.07977194 0.07976663 0.07977822 0.07977093 18.16887751 1.00132133 0.07935705 0.07935175 0.07936331 0.07935604 18.27359727 0.99802984 0.07894622 0.07894092 0.07895245 0.07894520 18.37831702 0.99475859 0.07853898 0.07853369 0.07854520 0.07853797 18.48303678 0.99151097 0.07813616 0.07813090 0.07814237 0.07813515 18.58775653 0.98829381 0.07773942 0.07773418 0.07774562 0.07773841 18.69247629 0.98510815 0.07734900 0.07734379 0.07735520 0.07734800 18.79719604 0.98194345 0.07696236 0.07695717 0.07696855 0.07696136 18.90191580 0.97878492 0.07657591 0.07657075 0.07658210 0.07657492 19.00663555 0.97562687 0.07618830 0.07618317 0.07619448 0.07618732 19.11135531 0.97247774 0.07580158 0.07579646 0.07580773 0.07580060 19.21607506 0.96935284 0.07541944 0.07541434 0.07542558 0.07541847 19.32079482 0.96626280 0.07504446 0.07503936 0.07505057 0.07504350 19.42551457 0.96320745 0.07467658 0.07467149 0.07468268 0.07467562 19.53023433 0.96017977 0.07431411 0.07430903 0.07432019 0.07431316 19.63495408 0.95717508 0.07395592 0.07395085 0.07396198 0.07395497 19.73967384 0.95419469 0.07360233 0.07359726 0.07360836 0.07360138 19.84439360 0.95123963 0.07325358 0.07324852 0.07325959 0.07325263 19.94911335 0.94830295 0.07290799 0.07290294 0.07291398 0.07290705 20.05383311 0.94537088 0.07256225 0.07255721 0.07256821 0.07256132 20.15855286 0.94243176 0.07221354 0.07220852 0.07221949 0.07221262 20.26327262 0.93948366 0.07186143 0.07185642 0.07186735 0.07186051 20.36799237 0.93653511 0.07150798 0.07150298 0.07151388 0.07150706 20.47271213 0.93360112 0.07115680 0.07115182 0.07116269 0.07115589 20.57743188 0.93069859 0.07081199 0.07080702 0.07081786 0.07081108 20.68215164 0.92784166 0.07047694 0.07047198 0.07048280 0.07047603 20.78687139 0.92503629 0.07015308 0.07014814 0.07015893 0.07015217 20.89159115 0.92227740 0.06983918 0.06983426 0.06984502 0.06983828 20.99631090 0.91955182 0.06953208 0.06952717 0.06953790 0.06953118 21.10103066 0.91684509 0.06922828 0.06922339 0.06923409 0.06922738 21.20575041 0.91414683 0.06892528 0.06892041 0.06893109 0.06892440 21.31047017 0.91145205 0.06862190 0.06861705 0.06862769 0.06862102 21.41518992 0.90875996 0.06831794 0.06831310 0.06832371 0.06831706 21.51990968 0.90607268 0.06801392 0.06800909 0.06801967 0.06801304 21.62462943 0.90339479 0.06771095 0.06770613 0.06771668 0.06771007 21.72934919 0.90073290 0.06741063 0.06740583 0.06741635 0.06740976 21.83406894 0.89809356 0.06711456 0.06710977 0.06712026 0.06711368 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