# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.03141593 3.52234991 0.79483648 0.79573359 0.79763116 0.79127622 0.09424778 3.76339483 0.83054146 0.83131552 0.82992714 0.83035262 0.15707963 3.69129446 0.80193617 0.80230790 0.80010714 0.80337408 0.21991149 3.56287114 0.76343646 0.76357800 0.76123143 0.76543309 0.28274334 3.43422414 0.72624151 0.72629205 0.72404734 0.72830678 0.34557519 3.32023806 0.69316141 0.69323391 0.69118336 0.69509171 0.40840704 3.22267028 0.66435621 0.66443763 0.66260389 0.66607885 0.47123890 3.13926537 0.63918628 0.63926957 0.63764675 0.64068807 0.53407075 3.06724631 0.61694931 0.61702468 0.61559590 0.61824309 0.59690260 3.00487507 0.59721358 0.59729319 0.59603643 0.59832124 0.65973446 2.94972109 0.57940301 0.57947542 0.57836953 0.58034873 0.72256631 2.90076745 0.56326629 0.56333972 0.56236458 0.56407338 0.78539816 2.85679498 0.54850882 0.54858223 0.54771983 0.54919824 0.84823002 2.81697927 0.53492957 0.53500530 0.53423974 0.53551938 0.91106187 2.78039988 0.52230760 0.52238477 0.52170317 0.52281387 0.97389372 2.74676328 0.51058041 0.51065641 0.51004761 0.51101706 1.03672558 2.71547545 0.49957871 0.49965743 0.49911155 0.49995664 1.09955743 2.68601760 0.48918272 0.48926246 0.48877128 0.48951102 1.16238928 2.65823246 0.47935177 0.47942645 0.47898300 0.47963827 1.22522113 2.63188735 0.47002334 0.47009114 0.46968947 0.47027454 1.28805299 2.60676140 0.46114023 0.46119912 0.46083403 0.46136149 1.35088484 2.58278892 0.45267491 0.45273065 0.45239784 0.45287080 1.41371669 2.55988460 0.44460483 0.44466242 0.44435815 0.44477896 1.47654855 2.53778689 0.43686153 0.43691781 0.43663893 0.43701699 1.53938040 2.51644236 0.42942557 0.42947851 0.42922242 0.42956502 1.60221225 2.49577894 0.42227263 0.42232309 0.42208745 0.42239833 1.66504411 2.47571310 0.41537390 0.41542401 0.41520675 0.41548767 1.72787596 2.45622155 0.40872062 0.40876924 0.40856857 0.40882395 1.79070781 2.43729713 0.40230855 0.40235249 0.40216675 0.40240280 1.85353967 2.41890804 0.39612672 0.39616636 0.39599410 0.39621311 1.91637152 2.40095305 0.39014082 0.39017881 0.39001880 0.39022036 1.97920337 2.38336615 0.38432941 0.38436723 0.38421840 0.38440285 2.04203522 2.36617157 0.37869721 0.37873436 0.37859578 0.37876515 2.10486708 2.34928262 0.37321850 0.37325327 0.37312410 0.37328150 2.16769893 2.33268743 0.36788737 0.36791931 0.36779882 0.36794600 2.23053078 2.31648553 0.36272665 0.36275705 0.36264456 0.36278136 2.29336264 2.30071294 0.35774315 0.35777216 0.35766705 0.35779429 2.35619449 2.28529662 0.35291265 0.35293951 0.35284118 0.35296062 2.41902634 2.27015249 0.34820908 0.34823320 0.34814112 0.34825419 2.48185820 2.25522106 0.34361478 0.34363615 0.34354988 0.34365728 2.54469005 2.24049108 0.33912374 0.33914293 0.33906209 0.33916388 2.60752190 2.22601799 0.33474912 0.33476686 0.33469105 0.33478710 2.67035376 2.21182160 0.33049521 0.33051172 0.33044062 0.33053119 2.73318561 2.19787929 0.32635239 0.32636742 0.32630072 0.32638647 2.79601746 2.18416076 0.32230801 0.32232154 0.32225894 0.32234034 2.85884931 2.17064192 0.31835401 0.31836655 0.31830779 0.31838474 2.92168117 2.15732346 0.31449060 0.31450266 0.31444751 0.31451981 2.98451302 2.14421314 0.31071877 0.31073043 0.31067869 0.31074657 3.04734487 2.13131664 0.30703842 0.30704923 0.30700071 0.30706486 3.11017673 2.11861108 0.30344125 0.30345084 0.30340537 0.30346643 3.17300858 2.10607941 0.29991997 0.29992837 0.29988576 0.29994397 3.23584043 2.09375105 0.29648098 0.29648837 0.29644843 0.29650386 3.29867229 2.08165025 0.29313011 0.29313663 0.29309921 0.29315194 3.36150414 2.06976017 0.28986180 0.28986747 0.28983241 0.28988263 3.42433599 2.05805777 0.28666852 0.28667339 0.28664057 0.28668841 3.48716785 2.04654064 0.28354768 0.28355195 0.28352126 0.28356665 3.54999970 2.03519604 0.28049354 0.28049750 0.28046883 0.28051165 3.61283155 2.02399738 0.27749774 0.27750158 0.27747482 0.27751502 3.67566340 2.01294228 0.27455939 0.27456319 0.27453821 0.27457589 3.73849526 2.00204811 0.27168286 0.27168646 0.27166317 0.27169861 3.80132711 1.99132830 0.26887091 0.26887409 0.26885241 0.26888596 3.86415896 1.98078252 0.26612241 0.26612511 0.26610495 0.26613678 3.92699082 1.97039051 0.26343074 0.26343309 0.26341437 0.26344447 3.98982267 1.96012788 0.26078847 0.26079055 0.26077319 0.26080159 4.05265452 1.94998472 0.25819257 0.25819432 0.25817826 0.25820510 4.11548638 1.93995959 0.25564258 0.25564384 0.25562903 0.25565454 4.17831823 1.93005393 0.25313861 0.25313932 0.25312570 0.25315003 4.24115008 1.92027385 0.25068160 0.25068188 0.25066940 0.25069250 4.30398194 1.91062702 0.24827255 0.24827261 0.24826122 0.24828296 4.36681379 1.90111557 0.24591091 0.24591087 0.24590051 0.24592085 4.42964564 1.89173099 0.24359359 0.24359345 0.24358406 0.24360307 4.49247749 1.88245969 0.24131674 0.24131649 0.24130804 0.24132578 4.55530935 1.87329639 0.23907893 0.23907860 0.23907103 0.23908755 4.61814120 1.86424774 0.23688163 0.23688119 0.23687446 0.23688985 4.68097305 1.85532179 0.23472638 0.23472576 0.23471984 0.23473421 4.74380491 1.84651881 0.23261256 0.23261170 0.23260657 0.23262002 4.80663676 1.83783564 0.23053861 0.23053749 0.23053309 0.23054572 4.86946861 1.82927217 0.22850374 0.22850234 0.22849866 0.22851050 4.93230047 1.82082396 0.22650621 0.22650457 0.22650156 0.22651265 4.99513232 1.81247706 0.22454219 0.22454037 0.22453800 0.22454831 5.05796417 1.80422289 0.22260948 0.22260751 0.22260575 0.22261531 5.12079603 1.79606933 0.22071011 0.22070794 0.22070677 0.22071566 5.18362788 1.78802526 0.21884614 0.21884374 0.21884314 0.21885141 5.24645973 1.78008114 0.21701474 0.21701214 0.21701208 0.21701975 5.30929158 1.77221497 0.21520989 0.21520716 0.21520762 0.21521463 5.37212344 1.76441507 0.21342829 0.21342551 0.21342648 0.21343278 5.43495529 1.75669112 0.21167210 0.21166934 0.21167078 0.21167635 5.49778714 1.74906256 0.20994585 0.20994311 0.20994502 0.20994987 5.56061900 1.74154081 0.20825196 0.20824921 0.20825156 0.20825575 5.62345085 1.73412407 0.20658964 0.20658686 0.20658962 0.20659323 5.68628270 1.72680373 0.20495673 0.20495386 0.20495702 0.20496011 5.74911456 1.71956985 0.20335082 0.20334784 0.20335138 0.20335400 5.81194641 1.71241204 0.20176923 0.20176613 0.20177005 0.20177223 5.87477826 1.70532252 0.20020971 0.20020649 0.20021076 0.20021253 5.93761012 1.69830113 0.19867184 0.19866848 0.19867310 0.19867448 6.00044197 1.69135372 0.19715676 0.19715325 0.19715819 0.19715925 6.06327382 1.68448409 0.19566519 0.19566151 0.19566677 0.19566752 6.12610567 1.67769040 0.19419651 0.19419267 0.19419823 0.19419868 6.18893753 1.67097005 0.19274996 0.19274602 0.19275188 0.19275199 6.25176938 1.66432433 0.19132582 0.19132184 0.19132798 0.19132771 6.31460123 1.65775615 0.18992471 0.18992072 0.18992713 0.18992646 6.37743309 1.65126507 0.18854632 0.18854232 0.18854898 0.18854794 6.44026494 1.64484568 0.18718901 0.18718496 0.18719187 0.18719051 6.50309679 1.63848906 0.18585027 0.18584613 0.18585328 0.18585165 6.56592865 1.63218511 0.18452736 0.18452312 0.18453049 0.18452863 6.62876050 1.62592570 0.18321813 0.18321379 0.18322138 0.18321929 6.69159235 1.61970872 0.18192205 0.18191762 0.18192542 0.18192311 6.75442421 1.61354046 0.18064072 0.18063623 0.18064423 0.18064167 6.81725606 1.60743274 0.17937711 0.17937258 0.17938078 0.17937796 6.88008791 1.60139620 0.17813383 0.17812927 0.17813766 0.17813459 6.94291976 1.59543446 0.17691164 0.17690707 0.17691564 0.17691230 7.00575162 1.58954299 0.17570922 0.17570466 0.17571340 0.17570980 7.06858347 1.58371318 0.17452428 0.17451972 0.17452863 0.17452477 7.13141532 1.57793809 0.17335499 0.17335041 0.17335949 0.17335540 7.19424718 1.57221607 0.17220089 0.17219629 0.17220552 0.17220122 7.25707903 1.56655044 0.17106278 0.17105814 0.17106752 0.17106304 7.31991088 1.56094629 0.16994187 0.16993717 0.16994669 0.16994206 7.38274274 1.55540654 0.16883879 0.16883401 0.16884368 0.16883891 7.44557459 1.54992859 0.16775274 0.16774791 0.16775771 0.16775280 7.50840644 1.54450298 0.16668123 0.16667634 0.16668627 0.16668123 7.57123830 1.53911545 0.16562053 0.16561561 0.16562566 0.16562047 7.63407015 1.53375228 0.16456713 0.16456217 0.16457234 0.16456701 7.69690200 1.52840662 0.16351924 0.16351427 0.16352454 0.16351907 7.75973385 1.52308162 0.16247766 0.16247266 0.16248305 0.16247744 7.82256571 1.51778848 0.16144520 0.16144019 0.16145068 0.16144493 7.88539756 1.51254121 0.16042539 0.16042035 0.16043095 0.16042506 7.94822941 1.50735141 0.15942109 0.15941603 0.15942673 0.15942072 8.01106127 1.50222571 0.15843391 0.15842883 0.15843964 0.15843349 8.07389312 1.49716594 0.15746425 0.15745915 0.15747005 0.15746379 8.13672497 1.49217039 0.15651162 0.15650649 0.15651748 0.15651112 8.19955683 1.48723499 0.15557493 0.15556976 0.15558084 0.15557439 8.26238868 1.48235417 0.15465273 0.15464751 0.15465868 0.15465215 8.32522053 1.47752197 0.15374344 0.15373817 0.15374942 0.15374282 8.38805239 1.47273328 0.15284570 0.15284038 0.15285171 0.15284506 8.45088424 1.46798481 0.15195863 0.15195326 0.15196467 0.15195795 8.51371609 1.46327508 0.15108177 0.15107637 0.15108785 0.15108106 8.57654794 1.45860338 0.15021490 0.15020949 0.15022104 0.15021416 8.63937980 1.45396840 0.14935766 0.14935225 0.14936386 0.14935689 8.70221165 1.44936741 0.14850935 0.14850395 0.14851562 0.14850855 8.76504350 1.44479660 0.14766899 0.14766360 0.14767533 0.14766816 8.82787536 1.44025210 0.14683562 0.14683023 0.14684201 0.14683476 8.89070721 1.43573116 0.14600852 0.14600313 0.14601497 0.14600764 8.95353906 1.43123279 0.14518744 0.14518205 0.14519395 0.14518653 9.01637092 1.42675774 0.14437255 0.14436716 0.14437910 0.14437162 9.07920277 1.42230828 0.14356439 0.14355899 0.14357099 0.14356344 9.14203462 1.41788790 0.14276382 0.14275841 0.14277046 0.14276285 9.20486648 1.41350101 0.14197190 0.14196649 0.14197858 0.14197091 9.26769833 1.40915224 0.14118976 0.14118434 0.14119647 0.14118875 9.33053018 1.40484534 0.14041830 0.14041286 0.14042504 0.14041727 9.39336203 1.40058186 0.13965786 0.13965242 0.13966464 0.13965682 9.45619389 1.39636039 0.13890807 0.13890263 0.13891489 0.13890702 9.51902574 1.39217683 0.13816788 0.13816243 0.13817473 0.13816681 9.58185759 1.38802592 0.13743596 0.13743050 0.13744284 0.13743487 9.64468945 1.38390339 0.13671123 0.13670577 0.13671814 0.13671013 9.70752130 1.37980771 0.13599331 0.13598784 0.13600025 0.13599219 9.77035315 1.37574041 0.13528256 0.13527709 0.13528953 0.13528143 9.83318501 1.37170504 0.13457984 0.13457437 0.13458684 0.13457870 9.89601686 1.36770507 0.13388599 0.13388052 0.13389301 0.13388484 9.95884871 1.36374205 0.13320134 0.13319586 0.13320839 0.13320018 10.02168056 1.35981472 0.13252555 0.13252007 0.13253262 0.13252438 10.08451242 1.35591946 0.13185768 0.13185218 0.13186476 0.13185650 10.14734427 1.35205149 0.13119652 0.13119101 0.13120360 0.13119534 10.21017612 1.34820649 0.13054098 0.13053546 0.13054808 0.13053979 10.27300798 1.34438177 0.12989040 0.12988486 0.12989750 0.12988921 10.33583983 1.34057675 0.12924464 0.12923907 0.12925173 0.12924344 10.39867168 1.33679263 0.12860398 0.12859839 0.12861106 0.12860277 10.46150354 1.33303143 0.12796893 0.12796331 0.12797600 0.12796771 10.52433539 1.32929491 0.12733990 0.12733425 0.12734696 0.12733868 10.58716724 1.32558362 0.12671701 0.12671134 0.12672406 0.12671579 10.64999910 1.32189669 0.12610004 0.12609434 0.12610707 0.12609881 10.71283095 1.31823208 0.12548844 0.12548271 0.12549546 0.12548721 10.77566280 1.31458731 0.12488158 0.12487583 0.12488859 0.12488035 10.83849465 1.31096026 0.12427893 0.12427315 0.12428592 0.12427769 10.90132651 1.30734971 0.12368015 0.12367435 0.12368714 0.12367891 10.96415836 1.30375563 0.12308523 0.12307943 0.12309222 0.12308399 11.02699021 1.30017897 0.12249441 0.12248860 0.12250140 0.12249316 11.08982207 1.29662138 0.12190807 0.12190226 0.12191507 0.12190682 11.15265392 1.29308464 0.12132667 0.12132086 0.12133368 0.12132541 11.21548577 1.28957038 0.12075060 0.12074480 0.12075763 0.12074934 11.27831763 1.28607971 0.12018015 0.12017436 0.12018719 0.12017888 11.34114948 1.28261328 0.11961546 0.11960969 0.11962253 0.11961419 11.40398133 1.27917119 0.11905657 0.11905082 0.11906366 0.11905530 11.46681319 1.27575323 0.11850341 0.11849767 0.11851052 0.11850214 11.52964504 1.27235899 0.11795586 0.11795013 0.11796298 0.11795459 11.59247689 1.26898805 0.11741381 0.11740808 0.11742094 0.11741254 11.65530874 1.26564008 0.11687715 0.11687142 0.11688428 0.11687588 11.71814060 1.26231501 0.11634585 0.11634012 0.11635298 0.11634457 11.78097245 1.25901310 0.11581995 0.11581422 0.11582709 0.11581868 11.84380430 1.25573493 0.11529960 0.11529387 0.11530675 0.11529833 11.90663616 1.25248137 0.11478500 0.11477928 0.11479215 0.11478373 11.96946801 1.24925338 0.11427639 0.11427066 0.11428353 0.11427511 12.03229986 1.24605166 0.11377392 0.11376819 0.11378107 0.11377264 12.09513172 1.24287641 0.11327765 0.11327192 0.11328480 0.11327637 12.15796357 1.23972703 0.11278742 0.11278170 0.11279458 0.11278614 12.22079542 1.23660206 0.11230288 0.11229716 0.11231003 0.11230160 12.28362728 1.23349928 0.11182347 0.11181774 0.11183061 0.11182218 12.34645913 1.23041593 0.11134849 0.11134276 0.11135563 0.11134721 12.40929098 1.22734910 0.11087724 0.11087150 0.11088436 0.11087595 12.47212283 1.22429613 0.11040903 0.11040329 0.11041615 0.11040775 12.53495469 1.22125492 0.10994336 0.10993761 0.10995047 0.10994207 12.59778654 1.21822419 0.10947989 0.10947414 0.10948699 0.10947860 12.66061839 1.21520351 0.10901852 0.10901277 0.10902562 0.10901723 12.72345025 1.21219326 0.10855933 0.10855358 0.10856642 0.10855804 12.78628210 1.20919443 0.10810256 0.10809681 0.10810965 0.10810127 12.84911395 1.20620836 0.10764854 0.10764280 0.10765563 0.10764725 12.91194581 1.20323647 0.10719761 0.10719188 0.10720470 0.10719633 12.97477766 1.20028007 0.10675010 0.10674438 0.10675720 0.10674882 13.03760951 1.19734024 0.10630627 0.10630056 0.10631337 0.10630499 13.10044137 1.19441784 0.10586633 0.10586063 0.10587343 0.10586505 13.16327322 1.19151352 0.10543043 0.10542474 0.10543754 0.10542916 13.22610507 1.18862785 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