# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.05235988 3.57578313 0.79817214 0.79937222 0.79920997 0.79609085 0.15707963 3.67659744 0.79812863 0.79849726 0.79632919 0.79956234 0.26179939 3.47296757 0.73729059 0.73738297 0.73512692 0.73934245 0.36651914 3.28790868 0.68332586 0.68335366 0.68139609 0.68517498 0.47123890 3.14243821 0.63969655 0.63975632 0.63814561 0.64119104 0.57595865 3.02817546 0.60412139 0.60420194 0.60289680 0.60528583 0.68067841 2.93633789 0.57446931 0.57453952 0.57348184 0.57536606 0.78539816 2.86028121 0.54911815 0.54919682 0.54833417 0.54980881 0.89011792 2.79533492 0.52693881 0.52702687 0.52631832 0.52747353 0.99483767 2.73885472 0.50729568 0.50737751 0.50678970 0.50771352 1.09955743 2.68834765 0.48956120 0.48963519 0.48914301 0.48989132 1.20427718 2.64256979 0.47340681 0.47347082 0.47305478 0.47367088 1.30899694 2.60058372 0.45857968 0.45864425 0.45828967 0.45879356 1.41371669 2.56149902 0.44484206 0.44490348 0.44459884 0.44501738 1.51843645 2.52475807 0.43203355 0.43208530 0.43182183 0.43217913 1.62315620 2.49024965 0.42010602 0.42014886 0.41991942 0.42022856 1.72787596 2.45740745 0.40887908 0.40891883 0.40871786 0.40898348 1.83259571 2.42587979 0.39824659 0.39828872 0.39811182 0.39833641 1.93731547 2.39562455 0.38819659 0.38823426 0.38807803 0.38827464 2.04203522 2.36653408 0.37867329 0.37870517 0.37856667 0.37874175 2.14675498 2.33850882 0.36963252 0.36966117 0.36953799 0.36969308 2.25147474 2.31155681 0.36106069 0.36108652 0.36097670 0.36111473 2.35619449 2.28552999 0.35290007 0.35292197 0.35282379 0.35294857 2.46091425 2.26022505 0.34508281 0.34510211 0.34501417 0.34512658 2.56563400 2.23559012 0.33758198 0.33759907 0.33752020 0.33762164 2.67035376 2.21168106 0.33040782 0.33042218 0.33035138 0.33044397 2.77507351 2.18852462 0.32355378 0.32356775 0.32350414 0.32358679 2.87979327 2.16597638 0.31697132 0.31698402 0.31692686 0.31700156 2.98451302 2.14402694 0.31064625 0.31065687 0.31060553 0.31067400 3.08923278 2.12259996 0.30454857 0.30455836 0.30451221 0.30457413 3.19395253 2.10176204 0.29869474 0.29870305 0.29866161 0.29871829 3.29867229 2.08144687 0.29305868 0.29306549 0.29302829 0.29308045 3.40339204 2.06163026 0.28762881 0.28763508 0.28760176 0.28764895 3.50811180 2.04237624 0.28241419 0.28241994 0.28239015 0.28243278 3.61283155 2.02357508 0.27737956 0.27738336 0.27735679 0.27739678 3.71755131 2.00518674 0.27251132 0.27251430 0.27249070 0.27252725 3.82227106 1.98721741 0.26780267 0.26780555 0.26778463 0.26781742 3.92699082 1.96965879 0.26324831 0.26325085 0.26323236 0.26326198 4.03171057 1.95248668 0.25884105 0.25884274 0.25882650 0.25885372 4.13643033 1.93578003 0.25459766 0.25459895 0.25458479 0.25460939 4.24115008 1.91940581 0.25047936 0.25048038 0.25046813 0.25049020 4.34586984 1.90343113 0.24650061 0.24650112 0.24649061 0.24651064 4.45058959 1.88785204 0.24265546 0.24265575 0.24264685 0.24266473 4.55530935 1.87251157 0.23890480 0.23890466 0.23889724 0.23891337 4.66002910 1.85755824 0.23528327 0.23528287 0.23527683 0.23529119 4.76474886 1.84292654 0.23177163 0.23177079 0.23176603 0.23177893 4.86946861 1.82856749 0.22835483 0.22835323 0.22834966 0.22836158 4.97418837 1.81449441 0.22503442 0.22503234 0.22502987 0.22504064 5.07890812 1.80070671 0.22180813 0.22180590 0.22180445 0.22181385 5.18362788 1.78720167 0.21867445 0.21867189 0.21867139 0.21867970 5.28834763 1.77395685 0.21562565 0.21562277 0.21562315 0.21563048 5.39306739 1.76098772 0.21266442 0.21266143 0.21266262 0.21266884 5.49778714 1.74826049 0.20978225 0.20977916 0.20978113 0.20978628 5.60250690 1.73583286 0.20699168 0.20698843 0.20699111 0.20699535 5.70722665 1.72363407 0.20427197 0.20426858 0.20427191 0.20427530 5.81194641 1.71156903 0.20159907 0.20159548 0.20159943 0.20160209 5.91666616 1.69971505 0.19899250 0.19898877 0.19899330 0.19899523 6.02138592 1.68815284 0.19647246 0.19646852 0.19647360 0.19647492 6.12610567 1.67685628 0.19403083 0.19402665 0.19403224 0.19403304 6.23082543 1.66572622 0.19164012 0.19163582 0.19164188 0.19164209 6.33554518 1.65469059 0.18928173 0.18927740 0.18928389 0.18928346 6.44026494 1.64386413 0.18698529 0.18698094 0.18698785 0.18698681 6.54498469 1.63317325 0.18473221 0.18472778 0.18473507 0.18473354 6.64970445 1.62269961 0.18254218 0.18253758 0.18254526 0.18254333 6.75442421 1.61251353 0.18043161 0.18042690 0.18043492 0.18043260 6.85914396 1.60253438 0.17837974 0.17837492 0.17838327 0.17838056 6.96386372 1.59268411 0.17636595 0.17636103 0.17636968 0.17636663 7.06858347 1.58294067 0.17438388 0.17437889 0.17438783 0.17438442 7.17330323 1.57334372 0.17244324 0.17243829 0.17244749 0.17244364 7.27802298 1.56390937 0.17054797 0.17054302 0.17055245 0.17054825 7.38274274 1.55460645 0.16869014 0.16868516 0.16869482 0.16869029 7.48746249 1.54538854 0.16685810 0.16685311 0.16686299 0.16685815 7.59218225 1.53629831 0.16506255 0.16505753 0.16506763 0.16506250 7.69690200 1.52738741 0.16331575 0.16331072 0.16332101 0.16331560 7.80162176 1.51860133 0.16160340 0.16159834 0.16160882 0.16160317 7.90634151 1.50998501 0.15993668 0.15993157 0.15994222 0.15993636 8.01106127 1.50155005 0.15831822 0.15831305 0.15832386 0.15831783 8.11578102 1.49318996 0.15672106 0.15671581 0.15672677 0.15672060 8.22050078 1.48487777 0.15513819 0.15513284 0.15514394 0.15513767 8.32522053 1.47669185 0.15358887 0.15358342 0.15359466 0.15358830 8.42994029 1.46871204 0.15209316 0.15208765 0.15209902 0.15209253 8.53466004 1.46087604 0.15063506 0.15062954 0.15064102 0.15063437 8.63937980 1.45310895 0.14919533 0.14918980 0.14920139 0.14919459 8.74409955 1.44539805 0.14777098 0.14776546 0.14777716 0.14777020 8.84881931 1.43778628 0.14637298 0.14636744 0.14637923 0.14637215 8.95353906 1.43028627 0.14500410 0.14499854 0.14501042 0.14500323 9.05825882 1.42285296 0.14365280 0.14364719 0.14365916 0.14365189 9.16297857 1.41549033 0.14231986 0.14231422 0.14232627 0.14231892 9.26769833 1.40823366 0.14101406 0.14100842 0.14102055 0.14101308 9.37241808 1.40106870 0.13973183 0.13972619 0.13973840 0.13973082 9.47713784 1.39399352 0.13847249 0.13846683 0.13847910 0.13847146 9.58185759 1.38704203 0.13724426 0.13723857 0.13725090 0.13724322 9.68657735 1.38019822 0.13604303 0.13603733 0.13604972 0.13604196 9.79129710 1.37343778 0.13486274 0.13485705 0.13486949 0.13486164 9.89601686 1.36677566 0.13370716 0.13370147 0.13371396 0.13370604 10.00073661 1.36021373 0.13257668 0.13257098 0.13258351 0.13257554 10.10545637 1.35371808 0.13146262 0.13145690 0.13146947 0.13146146 10.21017612 1.34725744 0.13035704 0.13035131 0.13036391 0.13035587 10.31489588 1.34084429 0.12926304 0.12925730 0.12926995 0.12926186 10.41961563 1.33451430 0.12818942 0.12818370 0.12819638 0.12818822 10.52433539 1.32827443 0.12713787 0.12713218 0.12714489 0.12713665 10.62905514 1.32210209 0.12610279 0.12609712 0.12610985 0.12610156 10.73377490 1.31598738 0.12508167 0.12507600 0.12508876 0.12508045 10.83849465 1.30993840 0.12407629 0.12407058 0.12408336 0.12407506 10.94321441 1.30395143 0.12308557 0.12307983 0.12309262 0.12308434 11.04793417 1.29802693 0.12210977 0.12210400 0.12211682 0.12210852 11.15265392 1.29218191 0.12115320 0.12114745 0.12116028 0.12115194 11.25737368 1.28641552 0.12021553 0.12020980 0.12022264 0.12021427 11.36209343 1.28070179 0.11929017 0.11928445 0.11929731 0.11928890 11.46681319 1.27502216 0.11837249 0.11836679 0.11837965 0.11837123 11.57153294 1.26937864 0.11746299 0.11745727 0.11747014 0.11746173 11.67625270 1.26379303 0.11656693 0.11656118 0.11657405 0.11656567 11.78097245 1.25829605 0.11569181 0.11568604 0.11569892 0.11569056 11.88569221 1.25289466 0.11483942 0.11483364 0.11484652 0.11483816 11.99041196 1.24756491 0.11400386 0.11399808 0.11401096 0.11400259 12.09513172 1.24227449 0.11317710 0.11317133 0.11318421 0.11317583 12.19985147 1.23700228 0.11235388 0.11234813 0.11236101 0.11235261 12.30457123 1.23174689 0.11153386 0.11152813 0.11154099 0.11153259 12.40929098 1.22652266 0.11072060 0.11071486 0.11072772 0.11071933 12.51401074 1.22134572 0.10991806 0.10991232 0.10992517 0.10991680 12.61873049 1.21623837 0.10913169 0.10912594 0.10913879 0.10913042 12.72345025 1.21122635 0.10836772 0.10836197 0.10837482 0.10836646 12.82817000 1.20630406 0.10762472 0.10761898 0.10763182 0.10762346 12.93288976 1.20143103 0.10689273 0.10688700 0.10689983 0.10689148 13.03760951 1.19657865 0.10616475 0.10615902 0.10617183 0.10616350 13.14232927 1.19176019 0.10544395 0.10543823 0.10545103 0.10544271 13.24704902 1.18700349 0.10473709 0.10473137 0.10474416 0.10473585 13.35176878 1.18230272 0.10404270 0.10403700 0.10404977 0.10404146 13.45648853 1.17762278 0.10335224 0.10334655 0.10335931 0.10335100 13.56120829 1.17294391 0.10266092 0.10265525 0.10266798 0.10265967 13.66592804 1.16827924 0.10197196 0.10196630 0.10197902 0.10197072 13.77064780 1.16365577 0.10129197 0.10128632 0.10129901 0.10129074 13.87536755 1.15908717 0.10062426 0.10061860 0.10063128 0.10062304 13.98008731 1.15456840 0.09996756 0.09996190 0.09997456 0.09996634 14.08480706 1.15009064 0.09931968 0.09931402 0.09932666 0.09931846 14.18952682 1.14565115 0.09867992 0.09867427 0.09868689 0.09867870 14.29424657 1.14125437 0.09804939 0.09804375 0.09805634 0.09804818 14.39896633 1.13690671 0.09742964 0.09742400 0.09743658 0.09742844 14.50368608 1.13260676 0.09682030 0.09681468 0.09682723 0.09681911 14.60840584 1.12834394 0.09621879 0.09621317 0.09622570 0.09621760 14.71312559 1.12410663 0.09562223 0.09561662 0.09562912 0.09562105 14.81784535 1.11988822 0.09502901 0.09502339 0.09503587 0.09502783 14.92256510 1.11569035 0.09443952 0.09443392 0.09444637 0.09443835 15.02728486 1.11152239 0.09385608 0.09385048 0.09386291 0.09385491 15.13200461 1.10739597 0.09328151 0.09327593 0.09328833 0.09328035 15.23672437 1.10331996 0.09271796 0.09271239 0.09272476 0.09271681 15.34144413 1.09929745 0.09216615 0.09216059 0.09217294 0.09216501 15.44616388 1.09532171 0.09162442 0.09161887 0.09163119 0.09162329 15.55088364 1.09137551 0.09108858 0.09108302 0.09109532 0.09108745 15.65560339 1.08744226 0.09055460 0.09054905 0.09056132 0.09055348 15.76032315 1.08351964 0.09002194 0.09001639 0.09002863 0.09002082 15.86504290 1.07961732 0.08949294 0.08948738 0.08949960 0.08949181 15.96976266 1.07574591 0.08897015 0.08896460 0.08897679 0.08896903 16.07448241 1.07191233 0.08845525 0.08844970 0.08846187 0.08845413 16.17920217 1.06811732 0.08794840 0.08794286 0.08795500 0.08794728 16.28392192 1.06435181 0.08744739 0.08744187 0.08745398 0.08744628 16.38864168 1.06060233 0.08694898 0.08694348 0.08695555 0.08694787 16.49336143 1.05686509 0.08645226 0.08644677 0.08645881 0.08645115 16.59808119 1.05315037 0.08595972 0.08595424 0.08596625 0.08595862 16.70280094 1.04946957 0.08547412 0.08546865 0.08548063 0.08547303 16.80752070 1.04582333 0.08499561 0.08499014 0.08500210 0.08499452 16.91224045 1.04220616 0.08452284 0.08451738 0.08452931 0.08452176 17.01696021 1.03861694 0.08405554 0.08405010 0.08406200 0.08405446 17.12167996 1.03506112 0.08359504 0.08358961 0.08360148 0.08359396 17.22639972 1.03154641 0.08314319 0.08313778 0.08314963 0.08314213 17.33111947 1.02807744 0.08270112 0.08269573 0.08270754 0.08270006 17.43583923 1.02465179 0.08226823 0.08226284 0.08227463 0.08226718 17.54055898 1.02126002 0.08184221 0.08183684 0.08184860 0.08184116 17.64527874 1.01788925 0.08141996 0.08141460 0.08142633 0.08141891 17.74999849 1.01452647 0.08099833 0.08099299 0.08100469 0.08099729 17.85471825 1.01116228 0.08057507 0.08056974 0.08058141 0.08057402 17.95943800 1.00779619 0.08015006 0.08014476 0.08015638 0.08014902 18.06415776 1.00443739 0.07972554 0.07972026 0.07973185 0.07972450 18.16887751 1.00109818 0.07930448 0.07929921 0.07931077 0.07930345 18.27359727 0.99778665 0.07888882 0.07888357 0.07889509 0.07888780 18.37831702 0.99450524 0.07847915 0.07847391 0.07848541 0.07847814 18.48303678 0.99125453 0.07807561 0.07807039 0.07808185 0.07807460 18.58775653 0.98803544 0.07767842 0.07767322 0.07768465 0.07767742 18.69247629 0.98484510 0.07728689 0.07728171 0.07729311 0.07728590 18.79719604 0.98167377 0.07689867 0.07689350 0.07690487 0.07689768 18.90191580 0.97851269 0.07651164 0.07650648 0.07651782 0.07651066 19.00663555 0.97536575 0.07612675 0.07612160 0.07613291 0.07612578 19.11135531 0.97224850 0.07574777 0.07574261 0.07575389 0.07574679 19.21607506 0.96917280 0.07537755 0.07537239 0.07538364 0.07537657 19.32079482 0.96613493 0.07501517 0.07501002 0.07502125 0.07501420 19.42551457 0.96311959 0.07465696 0.07465182 0.07466301 0.07465598 19.53023433 0.96011343 0.07429968 0.07429455 0.07430572 0.07429871 19.63495408 0.95711363 0.07394266 0.07393755 0.07394868 0.07394170 19.73967384 0.95412711 0.07358758 0.07358249 0.07359359 0.07358662 19.84439360 0.95116395 0.07323686 0.07323179 0.07324286 0.07323591 19.94911335 0.94822873 0.07289161 0.07288656 0.07289760 0.07289067 20.05383311 0.94531447 0.07255016 0.07254512 0.07255613 0.07254922 20.15855286 0.94240602 0.07220884 0.07220383 0.07221480 0.07220791 20.26327262 0.93949224 0.07186500 0.07186000 0.07187094 0.07186407 20.36799237 0.93657597 0.07151933 0.07151434 0.07152524 0.07151840 20.47271213 0.93367205 0.07117540 0.07117042 0.07118129 0.07117448 20.57743188 0.93079552 0.07083683 0.07083187 0.07084270 0.07083592 20.68215164 0.92795137 0.07050483 0.07049988 0.07051069 0.07050392 20.78687139 0.92513448 0.07017817 0.07017323 0.07018400 0.07017726 20.89159115 0.92233785 0.06985515 0.06985022 0.06986097 0.06985425 20.99631090 0.91955939 0.06953529 0.06953037 0.06954109 0.06953439 21.10103066 0.91680168 0.06921920 0.06921430 0.06922499 0.06921831 21.20575041 0.91406757 0.06890758 0.06890269 0.06891334 0.06890669 21.31047017 0.91135710 0.06860043 0.06859555 0.06860618 0.06859954 21.41518992 0.90866704 0.06829696 0.06829210 0.06830270 0.06829608 21.51990968 0.90599199 0.06799589 0.06799106 0.06800163 0.06799502 21.62462943 0.90332693 0.06769602 0.06769120 0.06770174 0.06769515 21.72934919 0.90066942 0.06739677 0.06739197 0.06740247 0.06739591 21.83406894 0.89801978 0.06709823 0.06709343 0.06710390 0.06709736 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