# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.05235988 3.57318373 0.79758894 0.79891554 0.79877095 0.79549445 0.15707963 3.67528567 0.79784181 0.79829418 0.79613184 0.79927393 0.26179939 3.47265271 0.73726018 0.73734123 0.73508590 0.73931170 0.36651914 3.28804975 0.68339770 0.68341342 0.68145546 0.68524678 0.47123890 3.14267187 0.63979102 0.63982691 0.63821612 0.64128557 0.57595865 3.02878647 0.60429503 0.60436020 0.60305342 0.60545873 0.68067841 2.93673889 0.57457893 0.57465895 0.57359976 0.57547484 0.78539816 2.86069489 0.54923427 0.54932266 0.54845981 0.54992478 0.89011792 2.79606843 0.52713813 0.52722313 0.52651367 0.52767264 0.99483767 2.73939057 0.50743702 0.50752236 0.50693400 0.50785487 1.09955743 2.68871686 0.48965499 0.48973217 0.48923976 0.48998503 1.20427718 2.64284628 0.47347989 0.47355789 0.47314199 0.47374350 1.30899694 2.60088870 0.45866566 0.45873400 0.45837942 0.45887909 1.41371669 2.56186138 0.44494120 0.44500529 0.44470063 0.44511632 1.51843645 2.52511707 0.43213029 0.43219180 0.43192828 0.43227560 1.62315620 2.49045763 0.42016129 0.42021696 0.41998759 0.42028341 1.72787596 2.45742961 0.40888825 0.40893628 0.40873553 0.40899202 1.83259571 2.42592596 0.39827502 0.39831673 0.39814011 0.39836440 1.93731547 2.39581231 0.38826893 0.38830765 0.38815160 0.38834659 2.04203522 2.36690863 0.37878980 0.37882478 0.37868638 0.37885790 2.14675498 2.33905209 0.36978619 0.36981841 0.36969524 0.36984651 2.25147474 2.31197453 0.36117102 0.36120089 0.36109101 0.36122477 2.35619449 2.28560950 0.35291766 0.35294532 0.35284719 0.35296575 2.46091425 2.26029762 0.34510069 0.34512364 0.34503573 0.34514413 2.56563400 2.23584499 0.33765451 0.33767366 0.33759482 0.33769393 2.67035376 2.21195885 0.33048780 0.33050364 0.33043289 0.33052368 2.77507351 2.18873010 0.32361432 0.32362667 0.32356312 0.32364713 2.87979327 2.16622311 0.31704276 0.31705221 0.31699506 0.31707290 2.98451302 2.14433910 0.31073616 0.31074472 0.31069335 0.31076387 3.08923278 2.12297525 0.30466076 0.30466920 0.30462307 0.30468625 3.19395253 2.10208352 0.29879416 0.29880132 0.29875993 0.29881763 3.29867229 2.08182098 0.29317095 0.29317629 0.29313915 0.29319266 3.40339204 2.06204852 0.28774920 0.28775476 0.28772149 0.28776926 3.50811180 2.04266291 0.28249833 0.28250324 0.28247350 0.28251688 3.61283155 2.02397519 0.27749129 0.27749521 0.27746866 0.27750845 3.71755131 2.00564612 0.27263341 0.27263655 0.27261292 0.27264928 3.82227106 1.98760912 0.26790531 0.26790741 0.26788646 0.26792002 3.92699082 1.97007950 0.26335905 0.26336029 0.26334178 0.26337269 4.03171057 1.95300179 0.25897681 0.25897743 0.25896117 0.25898946 4.13643033 1.93627370 0.25472734 0.25472766 0.25471347 0.25473905 4.24115008 1.91980649 0.25058384 0.25058371 0.25057143 0.25059468 4.34586984 1.90373743 0.24657976 0.24657954 0.24656903 0.24658979 4.45058959 1.88816133 0.24273784 0.24273729 0.24272840 0.24274712 4.55530935 1.87284705 0.23899500 0.23899438 0.23898698 0.23900356 4.66002910 1.85792644 0.23538330 0.23538241 0.23537641 0.23539120 4.76474886 1.84340082 0.23189821 0.23189666 0.23189193 0.23190551 4.86946861 1.82910570 0.22849624 0.22849458 0.22849102 0.22850297 4.97418837 1.81499317 0.22516391 0.22516217 0.22515970 0.22517010 5.07890812 1.80117380 0.22192945 0.22192745 0.22192599 0.22193513 5.18362788 1.78771434 0.21880716 0.21880485 0.21880434 0.21881238 5.28834763 1.77449365 0.21576440 0.21576193 0.21576229 0.21576919 5.39306739 1.76151175 0.21280043 0.21279776 0.21279894 0.21280481 5.49778714 1.74873371 0.20990382 0.20990080 0.20990274 0.20990783 5.60250690 1.73619574 0.20708396 0.20708070 0.20708335 0.20708761 5.70722665 1.72389977 0.20433959 0.20433614 0.20433945 0.20434292 5.81194641 1.71177885 0.20165284 0.20164913 0.20165307 0.20165586 5.91666616 1.70000148 0.19906719 0.19906328 0.19906781 0.19906992 6.02138592 1.68848637 0.19655957 0.19655549 0.19656055 0.19656203 6.12610567 1.67713042 0.19410168 0.19409758 0.19410314 0.19410388 6.23082543 1.66588151 0.19168022 0.19167599 0.19168203 0.19168218 6.33554518 1.65479630 0.18931037 0.18930598 0.18931247 0.18931211 6.44026494 1.64401424 0.18702667 0.18702219 0.18702911 0.18702820 6.54498469 1.63351263 0.18482232 0.18481776 0.18482506 0.18482366 6.64970445 1.62314411 0.18265779 0.18265322 0.18266088 0.18265895 6.75442421 1.61285921 0.18052034 0.18051582 0.18052382 0.18052132 6.85914396 1.60272637 0.17842819 0.17842369 0.17843201 0.17842901 6.96386372 1.59282247 0.17640063 0.17639601 0.17640463 0.17640131 7.06858347 1.58316140 0.17443960 0.17443487 0.17444378 0.17444014 7.17330323 1.57365414 0.17252204 0.17251721 0.17252638 0.17252244 7.27802298 1.56423612 0.17063161 0.17062669 0.17063610 0.17063188 7.38274274 1.55491027 0.16876853 0.16876359 0.16877324 0.16876869 7.48746249 1.54571394 0.16694186 0.16693697 0.16694685 0.16694191 7.59218225 1.53664989 0.16515234 0.16514749 0.16515757 0.16515228 7.69690200 1.52772769 0.16340263 0.16339771 0.16340799 0.16340248 7.80162176 1.51893691 0.16168911 0.16168408 0.16169454 0.16168888 7.90634151 1.51028759 0.16001394 0.16000883 0.16001947 0.16001364 8.01106127 1.50179060 0.15837990 0.15837472 0.15838551 0.15837952 8.11578102 1.49342905 0.15678242 0.15677714 0.15678809 0.15678197 8.22050078 1.48519456 0.15521914 0.15521379 0.15522490 0.15521862 8.32522053 1.47707626 0.15368680 0.15368144 0.15369268 0.15368622 8.42994029 1.46901602 0.15217046 0.15216511 0.15217647 0.15216983 8.53466004 1.46101002 0.15066929 0.15066391 0.15067538 0.15066860 8.63937980 1.45313082 0.14920163 0.14919619 0.14920778 0.14920089 8.74409955 1.44541102 0.14777552 0.14777000 0.14778169 0.14777474 8.84881931 1.43782277 0.14638355 0.14637796 0.14638975 0.14638273 8.95353906 1.43032117 0.14501419 0.14500858 0.14502047 0.14501332 9.05825882 1.42291292 0.14366912 0.14366351 0.14367548 0.14366821 9.16297857 1.41563329 0.14235693 0.14235128 0.14236334 0.14235599 9.26769833 1.40845006 0.14106949 0.14106381 0.14107594 0.14106851 9.37241808 1.40136054 0.13980623 0.13980054 0.13981275 0.13980522 9.47713784 1.39437223 0.13856875 0.13856304 0.13857532 0.13856771 9.58185759 1.38746317 0.13735118 0.13734545 0.13735778 0.13735012 9.68657735 1.38059844 0.13614473 0.13613900 0.13615139 0.13614366 9.79129710 1.37378757 0.13495193 0.13494621 0.13495865 0.13495083 9.89601686 1.36707421 0.13378367 0.13377795 0.13379044 0.13378255 10.00073661 1.36047766 0.13264449 0.13263875 0.13265129 0.13264336 10.10545637 1.35397450 0.13152838 0.13152261 0.13153519 0.13152724 10.21017612 1.34753995 0.13042924 0.13042344 0.13043606 0.13042808 10.31489588 1.34115587 0.12934244 0.12933663 0.12934928 0.12934127 10.41961563 1.33482925 0.12826955 0.12826374 0.12827642 0.12826836 10.52433539 1.32857267 0.12721368 0.12720788 0.12722059 0.12721249 10.62905514 1.32237044 0.12617095 0.12616515 0.12617789 0.12616975 10.73377490 1.31619950 0.12513561 0.12512982 0.12514257 0.12513440 10.83849465 1.31007447 0.12411124 0.12410545 0.12411823 0.12411002 10.94321441 1.30404992 0.12311126 0.12310548 0.12311828 0.12311003 11.04793417 1.29814428 0.12214014 0.12213435 0.12214717 0.12213891 11.15265392 1.29232308 0.12118931 0.12118349 0.12119633 0.12118807 11.25737368 1.28654601 0.12024879 0.12024295 0.12025580 0.12024754 11.36209343 1.28081402 0.11931884 0.11931299 0.11932585 0.11931758 11.46681319 1.27514922 0.11840483 0.11839899 0.11841185 0.11840357 11.57153294 1.26954354 0.11750466 0.11749883 0.11751170 0.11750340 11.67625270 1.26398374 0.11661503 0.11660920 0.11662208 0.11661375 11.78097245 1.25849512 0.11574212 0.11573632 0.11574920 0.11574085 11.88569221 1.25308970 0.11488888 0.11488308 0.11489596 0.11488760 11.99041196 1.24773033 0.11404609 0.11404029 0.11405318 0.11404481 12.09513172 1.24240273 0.11321019 0.11320438 0.11321727 0.11320891 12.19985147 1.23713713 0.11238858 0.11238277 0.11239565 0.11238731 12.30457123 1.23194834 0.11158491 0.11157910 0.11159197 0.11158364 12.40929098 1.22681396 0.11079367 0.11078786 0.11080072 0.11079240 12.51401074 1.22170772 0.11000843 0.11000261 0.11001546 0.11000716 12.61873049 1.21663151 0.10922962 0.10922380 0.10923664 0.10922836 12.72345025 1.21160338 0.10846162 0.10845580 0.10846863 0.10846035 12.82817000 1.20662141 0.10770385 0.10769803 0.10771085 0.10770258 12.93288976 1.20166666 0.10695161 0.10694580 0.10695861 0.10695034 13.03760951 1.19673085 0.10620290 0.10619712 0.10620991 0.10620163 13.14232927 1.19182640 0.10546085 0.10545508 0.10546786 0.10545958 13.24704902 1.18697741 0.10473140 0.10472563 0.10473841 0.10473014 13.35176878 1.18220178 0.10401889 0.10401312 0.10402589 0.10401763 13.45648853 1.17750083 0.10332354 0.10331778 0.10333053 0.10332228 13.56120829 1.17285704 0.10264098 0.10263523 0.10264796 0.10263973 13.66592804 1.16824457 0.10196486 0.10195913 0.10197184 0.10196362 13.77064780 1.16365889 0.10129411 0.10128839 0.10130109 0.10129288 13.87536755 1.15911836 0.10063326 0.10062754 0.10064022 0.10063203 13.98008731 1.15462453 0.09998263 0.09997692 0.09998958 0.09998141 14.08480706 1.15015879 0.09933766 0.09933195 0.09934459 0.09933644 14.18952682 1.14571920 0.09869786 0.09869216 0.09870478 0.09869664 14.29424657 1.14132279 0.09806741 0.09806172 0.09807433 0.09806620 14.39896633 1.13698348 0.09744971 0.09744403 0.09745661 0.09744851 14.50368608 1.13270385 0.09684533 0.09683966 0.09685222 0.09684413 14.60840584 1.12846953 0.09625072 0.09624506 0.09625759 0.09624952 14.71312559 1.12425128 0.09565872 0.09565307 0.09566558 0.09565753 14.81784535 1.12003056 0.09506487 0.09505923 0.09507171 0.09506369 14.92256510 1.11582237 0.09447286 0.09446723 0.09447969 0.09447168 15.02728486 1.11165821 0.09389034 0.09388472 0.09389715 0.09388917 15.13200461 1.10755116 0.09332044 0.09331483 0.09332724 0.09331928 15.23672437 1.10348951 0.09276029 0.09275470 0.09276708 0.09275914 15.34144413 1.09945432 0.09220531 0.09219973 0.09221208 0.09220416 15.44616388 1.09543725 0.09165349 0.09164792 0.09166025 0.09165235 15.55088364 1.09144810 0.09110722 0.09110165 0.09111395 0.09110608 15.65560339 1.08750287 0.09057037 0.09056480 0.09057708 0.09056923 15.76032315 1.08360663 0.09004414 0.09003858 0.09005083 0.09004301 15.86504290 1.07975466 0.08952738 0.08952182 0.08953405 0.08952624 15.96976266 1.07594133 0.08901868 0.08901313 0.08902533 0.08901755 16.07448241 1.07215614 0.08851549 0.08850995 0.08852212 0.08851436 16.17920217 1.06838090 0.08801339 0.08800788 0.08802002 0.08801227 16.28392192 1.06460637 0.08751018 0.08750469 0.08751680 0.08750906 16.38864168 1.06084382 0.08700858 0.08700312 0.08701520 0.08700747 16.49336143 1.05710826 0.08651226 0.08650682 0.08651886 0.08651116 16.59808119 1.05340136 0.08602160 0.08601617 0.08602819 0.08602050 16.70280094 1.04971914 0.08553564 0.08553021 0.08554220 0.08553454 16.80752070 1.04606414 0.08505499 0.08504957 0.08506152 0.08505390 16.91224045 1.04244334 0.08458135 0.08457593 0.08458785 0.08458026 17.01696021 1.03886418 0.08411650 0.08411109 0.08412299 0.08411542 17.12167996 1.03533373 0.08366215 0.08365674 0.08366862 0.08366107 17.22639972 1.03185062 0.08321793 0.08321255 0.08322439 0.08321686 17.33111947 1.02839715 0.08277957 0.08277421 0.08278603 0.08277850 17.43583923 1.02494924 0.08234124 0.08233590 0.08234769 0.08234018 17.54055898 1.02149866 0.08190097 0.08189565 0.08190740 0.08189992 17.64527874 1.01806050 0.08146242 0.08145712 0.08146883 0.08146138 17.74999849 1.01465535 0.08103058 0.08102527 0.08103695 0.08102954 17.85471825 1.01128775 0.08060651 0.08060120 0.08061285 0.08060548 17.95943800 1.00794418 0.08018694 0.08018163 0.08019326 0.08018591 18.06415776 1.00460854 0.07976798 0.07976269 0.07977428 0.07976696 18.16887751 1.00127703 0.07934874 0.07934347 0.07935502 0.07934772 18.27359727 0.99795952 0.07893160 0.07892635 0.07893787 0.07893059 18.37831702 0.99466833 0.07851955 0.07851430 0.07852580 0.07851854 18.48303678 0.99140727 0.07811349 0.07810826 0.07811972 0.07811249 18.58775653 0.98817238 0.07771247 0.07770724 0.07771868 0.07771147 18.69247629 0.98496116 0.07731588 0.07731066 0.07732207 0.07731488 18.79719604 0.98177777 0.07692472 0.07691952 0.07693091 0.07692373 18.90191580 0.97862878 0.07654059 0.07653541 0.07654677 0.07653961 19.00663555 0.97551585 0.07616389 0.07615873 0.07617005 0.07616291 19.11135531 0.97243400 0.07579342 0.07578828 0.07579957 0.07579244 19.21607506 0.96937597 0.07542742 0.07542229 0.07543355 0.07542645 19.32079482 0.96633640 0.07506461 0.07505949 0.07507072 0.07506364 19.42551457 0.96331243 0.07470429 0.07469918 0.07471038 0.07470332 19.53023433 0.96030284 0.07434617 0.07434107 0.07435223 0.07434520 19.63495408 0.95730730 0.07399016 0.07398507 0.07399620 0.07398919 19.73967384 0.95432545 0.07363618 0.07363111 0.07364220 0.07363522 19.84439360 0.95135659 0.07328407 0.07327902 0.07329008 0.07328312 19.94911335 0.94840052 0.07293379 0.07292876 0.07293979 0.07293285 20.05383311 0.94545709 0.07258531 0.07258029 0.07259129 0.07258438 20.15855286 0.94252514 0.07223835 0.07223334 0.07224431 0.07223742 20.26327262 0.93960419 0.07189280 0.07188780 0.07189873 0.07189188 20.36799237 0.93669792 0.07154954 0.07154455 0.07155545 0.07154862 20.47271213 0.93381289 0.07121016 0.07120518 0.07121605 0.07120925 20.57743188 0.93095175 0.07087530 0.07087032 0.07088117 0.07087438 20.68215164 0.92810979 0.07054381 0.07053885 0.07054966 0.07054291 20.78687139 0.92528108 0.07021428 0.07020933 0.07022011 0.07021338 20.89159115 0.92246649 0.06988692 0.06988198 0.06989274 0.06988603 20.99631090 0.91967338 0.06956351 0.06955858 0.06956930 0.06956262 21.10103066 0.91690838 0.06924565 0.06924073 0.06925142 0.06924476 21.20575041 0.91417301 0.06893370 0.06892879 0.06893946 0.06893281 21.31047017 0.91146480 0.06862708 0.06862219 0.06863282 0.06862620 21.41518992 0.90877965 0.06832480 0.06831992 0.06833052 0.06832392 21.51990968 0.90611266 0.06802567 0.06802081 0.06803138 0.06802480 21.62462943 0.90345895 0.06772853 0.06772369 0.06773423 0.06772767 21.72934919 0.90081463 0.06743244 0.06742760 0.06743811 0.06743158 21.83406894 0.89817697 0.06713674 0.06713191 0.06714239 0.06713588 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