# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.05235988 3.56409576 0.79556242 0.79671043 0.79654761 0.79347407 0.15707963 3.67378520 0.79755328 0.79789047 0.79573020 0.79898096 0.26179939 3.47237299 0.73721088 0.73728587 0.73503283 0.73926045 0.36651914 3.28842072 0.68351315 0.68352235 0.68156628 0.68536177 0.47123890 3.14321900 0.63993128 0.63996929 0.63835816 0.64142536 0.57595865 3.02927202 0.60444780 0.60447669 0.60316952 0.60561195 0.68067841 2.93754989 0.57480641 0.57485909 0.57379852 0.57570350 0.78539816 2.86097498 0.54931546 0.54938457 0.54852095 0.55000691 0.89011792 2.79603016 0.52714599 0.52721768 0.52650804 0.52768154 0.99483767 2.73957003 0.50749972 0.50757865 0.50699011 0.50791837 1.09955743 2.68903207 0.48974628 0.48982307 0.48933019 0.49007680 1.20427718 2.64334389 0.47361197 0.47367951 0.47326276 0.47387614 1.30899694 2.60108330 0.45871872 0.45877468 0.45841954 0.45893261 1.41371669 2.56201034 0.44499093 0.44504413 0.44473910 0.44516642 1.51843645 2.52534198 0.43219871 0.43224929 0.43198543 0.43234449 1.62315620 2.49065409 0.42021752 0.42026278 0.42003296 0.42034029 1.72787596 2.45771920 0.40896448 0.40901251 0.40881127 0.40906894 1.83259571 2.42621697 0.39835049 0.39839407 0.39821713 0.39844021 1.93731547 2.39612569 0.38834361 0.38838288 0.38822656 0.38842157 2.04203522 2.36706197 0.37882229 0.37885493 0.37871632 0.37889070 2.14675498 2.33899961 0.36976388 0.36979433 0.36967102 0.36982444 2.25147474 2.31190962 0.36115474 0.36118217 0.36107226 0.36120870 2.35619449 2.28584787 0.35298750 0.35301211 0.35291390 0.35303588 2.46091425 2.26061512 0.34518761 0.34520941 0.34512144 0.34523121 2.56563400 2.23603963 0.33770178 0.33772010 0.33764117 0.33774132 2.67035376 2.21207905 0.33051234 0.33052782 0.33045697 0.33054834 2.77507351 2.18881705 0.32363254 0.32364497 0.32358134 0.32366546 2.87979327 2.16620309 0.31703087 0.31704136 0.31698418 0.31706102 2.98451302 2.14436695 0.31073525 0.31074378 0.31069238 0.31076296 3.08923278 2.12299206 0.30465105 0.30465884 0.30461266 0.30467656 3.19395253 2.10218607 0.29880661 0.29881347 0.29877199 0.29883015 3.29867229 2.08182877 0.29316161 0.29316675 0.29312952 0.29318339 3.40339204 2.06198979 0.28772372 0.28772794 0.28769457 0.28774390 3.50811180 2.04267101 0.28249127 0.28249556 0.28246571 0.28250991 3.61283155 2.02386603 0.27745669 0.27745973 0.27743311 0.27747395 3.71755131 2.00550274 0.27259320 0.27259610 0.27257241 0.27260916 3.82227106 1.98750599 0.26787658 0.26787956 0.26785854 0.26789135 3.92699082 1.97001865 0.26334361 0.26334596 0.26332742 0.26335728 4.03171057 1.95292012 0.25895620 0.25895798 0.25894168 0.25896886 4.13643033 1.93611252 0.25468525 0.25468605 0.25467181 0.25469699 4.24115008 1.91973341 0.25056549 0.25056550 0.25055316 0.25057638 4.34586984 1.90372178 0.24657709 0.24657663 0.24656605 0.24658717 4.45058959 1.88808869 0.24271931 0.24271820 0.24270926 0.24272863 4.55530935 1.87287410 0.23900142 0.23899967 0.23899223 0.23901004 4.66002910 1.85793783 0.23538255 0.23538088 0.23537481 0.23539051 4.76474886 1.84322930 0.23184996 0.23184840 0.23184360 0.23185729 4.86946861 1.82878066 0.22840938 0.22840745 0.22840385 0.22841615 4.97418837 1.81472015 0.22509176 0.22508959 0.22508709 0.22509799 5.07890812 1.80100004 0.22188370 0.22188127 0.22187978 0.22188943 5.18362788 1.78754003 0.21876103 0.21875839 0.21875785 0.21876629 5.28834763 1.77422210 0.21569354 0.21569073 0.21569108 0.21569836 5.39306739 1.76117827 0.21271463 0.21271133 0.21271250 0.21271905 5.49778714 1.74847727 0.20983859 0.20983481 0.20983676 0.20984264 5.60250690 1.73603964 0.20704503 0.20704088 0.20704354 0.20704874 5.70722665 1.72391421 0.20434508 0.20434080 0.20434412 0.20434846 5.81194641 1.71193495 0.20169473 0.20169045 0.20169438 0.20169778 5.91666616 1.70010873 0.19909517 0.19909082 0.19909533 0.19909792 6.02138592 1.68848827 0.19655895 0.19655452 0.19655958 0.19656142 6.12610567 1.67710877 0.19409540 0.19409095 0.19409652 0.19409761 6.23082543 1.66594142 0.19169549 0.19169099 0.19169704 0.19169746 6.33554518 1.65494438 0.18934793 0.18934340 0.18934990 0.18934967 6.44026494 1.64414158 0.18705802 0.18705343 0.18706034 0.18705956 6.54498469 1.63354637 0.18482884 0.18482420 0.18483151 0.18483017 6.64970445 1.62311942 0.18264967 0.18264503 0.18265271 0.18265082 6.75442421 1.61286707 0.18052171 0.18051697 0.18052499 0.18052269 6.85914396 1.60281675 0.17845107 0.17844626 0.17845459 0.17845189 6.96386372 1.59293173 0.17642791 0.17642310 0.17643173 0.17642858 7.06858347 1.58314985 0.17443592 0.17443109 0.17443999 0.17443645 7.17330323 1.57348861 0.17247903 0.17247413 0.17248331 0.17247943 7.27802298 1.56404634 0.17058252 0.17057758 0.17058700 0.17058280 7.38274274 1.55484815 0.16875221 0.16874719 0.16875685 0.16875238 7.48746249 1.54572805 0.16694466 0.16693953 0.16694940 0.16694472 7.59218225 1.53661755 0.16514323 0.16513802 0.16514810 0.16514318 7.69690200 1.52762409 0.16337515 0.16336996 0.16338024 0.16337501 7.80162176 1.51879900 0.16165279 0.16164761 0.16165808 0.16165256 7.90634151 1.51012662 0.15997162 0.15996640 0.15997704 0.15997131 8.01106127 1.50157819 0.15832442 0.15831913 0.15832993 0.15832404 8.11578102 1.49319816 0.15672252 0.15671713 0.15672809 0.15672207 8.22050078 1.48497226 0.15516140 0.15515596 0.15516707 0.15516088 8.32522053 1.47686351 0.15363119 0.15362574 0.15363698 0.15363061 8.42994029 1.46883558 0.15212294 0.15211746 0.15212882 0.15212230 8.53466004 1.46090191 0.15064029 0.15063479 0.15064628 0.15063959 8.63937980 1.45309270 0.14919064 0.14918513 0.14919673 0.14918989 8.74409955 1.44540370 0.14777242 0.14776688 0.14777859 0.14777163 8.84881931 1.43782080 0.14638182 0.14637626 0.14638808 0.14638098 8.95353906 1.43032127 0.14501294 0.14500739 0.14501929 0.14501206 9.05825882 1.42289283 0.14366273 0.14365716 0.14366915 0.14366181 9.16297857 1.41558780 0.14234436 0.14233877 0.14235084 0.14234342 9.26769833 1.40845212 0.14106912 0.14106351 0.14107565 0.14106814 9.37241808 1.40142678 0.13982168 0.13981607 0.13982829 0.13982067 9.47713784 1.39444230 0.13858451 0.13857891 0.13859119 0.13858347 9.58185759 1.38748568 0.13735466 0.13734904 0.13736137 0.13735360 9.68657735 1.38058082 0.13613829 0.13613262 0.13614501 0.13613720 9.79129710 1.37374924 0.13494059 0.13493491 0.13494735 0.13493947 9.89601686 1.36697963 0.13375833 0.13375265 0.13376514 0.13375719 10.00073661 1.36027817 0.13259287 0.13258720 0.13259974 0.13259172 10.10545637 1.35368514 0.13145436 0.13144867 0.13146125 0.13145319 10.21017612 1.34720390 0.13034368 0.13033795 0.13035056 0.13034250 10.31489588 1.34080315 0.12925292 0.12924716 0.12925981 0.12925173 10.41961563 1.33449084 0.12818384 0.12817807 0.12819076 0.12818263 10.52433539 1.32828972 0.12714195 0.12713618 0.12714890 0.12714074 10.62905514 1.32218421 0.12612334 0.12611755 0.12613030 0.12612212 10.73377490 1.31612578 0.12511589 0.12511009 0.12512285 0.12511467 10.83849465 1.31008287 0.12411180 0.12410600 0.12411878 0.12411057 10.94321441 1.30407923 0.12311706 0.12311124 0.12312405 0.12311581 11.04793417 1.29814841 0.12213989 0.12213407 0.12214689 0.12213864 11.15265392 1.29229999 0.12118252 0.12117669 0.12118953 0.12118126 11.25737368 1.28654257 0.12024700 0.12024116 0.12025401 0.12024574 11.36209343 1.28086100 0.11932955 0.11932370 0.11933656 0.11932829 11.46681319 1.27522210 0.11842190 0.11841604 0.11842891 0.11842064 11.57153294 1.26961941 0.11752240 0.11751654 0.11752942 0.11752113 11.67625270 1.26406665 0.11663439 0.11662854 0.11664142 0.11663312 11.78097245 1.25856751 0.11575877 0.11575291 0.11576579 0.11575749 11.88569221 1.25311570 0.11489399 0.11488812 0.11490101 0.11489271 11.99041196 1.24770664 0.11403889 0.11403303 0.11404591 0.11403760 12.09513172 1.24234076 0.11319350 0.11318767 0.11320055 0.11319222 12.19985147 1.23702421 0.11235938 0.11235357 0.11236644 0.11235809 12.30457123 1.23176751 0.11153912 0.11153332 0.11154620 0.11153784 12.40929098 1.22658178 0.11073543 0.11072964 0.11074251 0.11073415 12.51401074 1.22146683 0.10994816 0.10994237 0.10995524 0.10994688 12.61873049 1.21639844 0.10917127 0.10916550 0.10917835 0.10916999 12.72345025 1.21135485 0.10839943 0.10839367 0.10840652 0.10839816 12.82817000 1.20635512 0.10763738 0.10763162 0.10764446 0.10763611 12.93288976 1.20143156 0.10689300 0.10688723 0.10690007 0.10689173 13.03760951 1.19658045 0.10616531 0.10615953 0.10617235 0.10616404 13.14232927 1.19177772 0.10544834 0.10544255 0.10545537 0.10544707 13.24704902 1.18701737 0.10474062 0.10473484 0.10474764 0.10473936 13.35176878 1.18230744 0.10404413 0.10403835 0.10405114 0.10404287 13.45648853 1.17764996 0.10335935 0.10335358 0.10336636 0.10335809 13.56120829 1.17303573 0.10268396 0.10267822 0.10269097 0.10268271 13.66592804 1.16844962 0.10201426 0.10200853 0.10202127 0.10201301 13.77064780 1.16387970 0.10134733 0.10134161 0.10135432 0.10134609 13.87536755 1.15932515 0.10068299 0.10067727 0.10068996 0.10068175 13.98008731 1.15479575 0.10002363 0.10001792 0.10003059 0.10002240 14.08480706 1.15030495 0.09937251 0.09936680 0.09937946 0.09937127 14.18952682 1.14586557 0.09873271 0.09872702 0.09873966 0.09873148 14.29424657 1.14148039 0.09810490 0.09809922 0.09811183 0.09810367 14.39896633 1.13713631 0.09748591 0.09748023 0.09749282 0.09748469 14.50368608 1.13282217 0.09687305 0.09686738 0.09687994 0.09687184 14.60840584 1.12854087 0.09626703 0.09626136 0.09627390 0.09626582 14.71312559 1.12429821 0.09566920 0.09566353 0.09567605 0.09566799 14.81784535 1.12009876 0.09508061 0.09507495 0.09508745 0.09507940 14.92256510 1.11594840 0.09450270 0.09449706 0.09450953 0.09450150 15.02728486 1.11184572 0.09393515 0.09392952 0.09394197 0.09393395 15.13200461 1.10777974 0.09337527 0.09336967 0.09338210 0.09337408 15.23672437 1.10374143 0.09282084 0.09281527 0.09282767 0.09281966 15.34144413 1.09972700 0.09227093 0.09226538 0.09227775 0.09226977 15.44616388 1.09573187 0.09172444 0.09171890 0.09173123 0.09172328 15.55088364 1.09175105 0.09118015 0.09117460 0.09118691 0.09117900 15.65560339 1.08778535 0.09063825 0.09063270 0.09064498 0.09063711 15.76032315 1.08384414 0.09010101 0.09009548 0.09010772 0.09009988 15.86504290 1.07993857 0.08957117 0.08956564 0.08957785 0.08957003 15.96976266 1.07607267 0.08904968 0.08904417 0.08905635 0.08904856 16.07448241 1.07224303 0.08853572 0.08853021 0.08854237 0.08853460 16.17920217 1.06844354 0.08802779 0.08802229 0.08803441 0.08802668 16.28392192 1.06466760 0.08752427 0.08751878 0.08753088 0.08752317 16.38864168 1.06091104 0.08702415 0.08701866 0.08703073 0.08702305 16.49336143 1.05717771 0.08652835 0.08652287 0.08653492 0.08652725 16.59808119 1.05347652 0.08603903 0.08603358 0.08604559 0.08603794 16.70280094 1.04980715 0.08555614 0.08555070 0.08556268 0.08555506 16.80752070 1.04615621 0.08507644 0.08507101 0.08508296 0.08507536 16.91224045 1.04251638 0.08459815 0.08459273 0.08460465 0.08459707 17.01696021 1.03890321 0.08412504 0.08411963 0.08413152 0.08412397 17.12167996 1.03534277 0.08366342 0.08365801 0.08366988 0.08366236 17.22639972 1.03184308 0.08321521 0.08320981 0.08322165 0.08321415 17.33111947 1.02838458 0.08277564 0.08277026 0.08278207 0.08277458 17.43583923 1.02493965 0.08233804 0.08233268 0.08234446 0.08233699 17.54055898 1.02149642 0.08189956 0.08189421 0.08190596 0.08189851 17.64527874 1.01806402 0.08146241 0.08145707 0.08146879 0.08146137 17.74999849 1.01466101 0.08103108 0.08102575 0.08103744 0.08103004 17.85471825 1.01129958 0.08060851 0.08060319 0.08061485 0.08060747 17.95943800 1.00797563 0.08019370 0.08018839 0.08020002 0.08019266 18.06415776 1.00467294 0.07978272 0.07977743 0.07978903 0.07978169 18.16887751 1.00137772 0.07937225 0.07936698 0.07937854 0.07937123 18.27359727 0.99808798 0.07896182 0.07895657 0.07896810 0.07896080 18.37831702 0.99481018 0.07855298 0.07854775 0.07855925 0.07855198 18.48303678 0.99155065 0.07814729 0.07814207 0.07815353 0.07814629 18.58775653 0.98831131 0.07774519 0.07773998 0.07775141 0.07774419 18.69247629 0.98509113 0.07734643 0.07734123 0.07735263 0.07734544 18.79719604 0.98189010 0.07695101 0.07694582 0.07695719 0.07695003 18.90191580 0.97871174 0.07655978 0.07655460 0.07656594 0.07655880 19.00663555 0.97556336 0.07617452 0.07616934 0.07618065 0.07617354 19.11135531 0.97245385 0.07579737 0.07579220 0.07580348 0.07579639 19.21607506 0.96938816 0.07542953 0.07542437 0.07543562 0.07542856 19.32079482 0.96636136 0.07506980 0.07506465 0.07507588 0.07506883 19.42551457 0.96335792 0.07471442 0.07470929 0.07472048 0.07471346 19.53023433 0.96035734 0.07435844 0.07435332 0.07436449 0.07435748 19.63495408 0.95734343 0.07399798 0.07399288 0.07400401 0.07399702 19.73967384 0.95431423 0.07363257 0.07362749 0.07363859 0.07363162 19.84439360 0.95128645 0.07326626 0.07326121 0.07327226 0.07326532 19.94911335 0.94828747 0.07290566 0.07290063 0.07291165 0.07290472 20.05383311 0.94533696 0.07255550 0.07255049 0.07256148 0.07255457 20.15855286 0.94243308 0.07221533 0.07221034 0.07222130 0.07221441 20.26327262 0.93955626 0.07188043 0.07187545 0.07188638 0.07187951 20.36799237 0.93668601 0.07154585 0.07154089 0.07155178 0.07154494 20.47271213 0.93381370 0.07120952 0.07120457 0.07121543 0.07120861 20.57743188 0.93094239 0.07087218 0.07086725 0.07087808 0.07087128 20.68215164 0.92808016 0.07053580 0.07053088 0.07054169 0.07053490 20.78687139 0.92523514 0.07020234 0.07019743 0.07020821 0.07020144 20.89159115 0.92241333 0.06987324 0.06986835 0.06987909 0.06987235 20.99631090 0.91961744 0.06954917 0.06954430 0.06955501 0.06954828 21.10103066 0.91684709 0.06923004 0.06922517 0.06923585 0.06922915 21.20575041 0.91409982 0.06891524 0.06891038 0.06892104 0.06891436 21.31047017 0.91137244 0.06860402 0.06859917 0.06860980 0.06860314 21.41518992 0.90866307 0.06829591 0.06829108 0.06830167 0.06829504 21.51990968 0.90597330 0.06799131 0.06798648 0.06799705 0.06799044 21.62462943 0.90330810 0.06769142 0.06768659 0.06769713 0.06769055 21.72934919 0.90067190 0.06739730 0.06739248 0.06740299 0.06739643 21.83406894 0.89806334 0.06710863 0.06710381 0.06711430 0.06710776 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