# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.15707963 3.53854784 0.76561439 0.76599346 0.76384797 0.76717691 0.47123890 3.11186501 0.63224792 0.63229904 0.63074886 0.63369278 0.78539816 2.84985324 0.54624059 0.54630828 0.54547230 0.54691043 1.09955743 2.68248537 0.48772087 0.48780179 0.48732420 0.48804079 1.41371669 2.55671317 0.44328296 0.44334987 0.44305476 0.44345231 1.72787596 2.45288477 0.40743898 0.40748921 0.40729502 0.40753917 2.04203522 2.36262745 0.37744484 0.37748065 0.37734693 0.37751052 2.35619449 2.28165211 0.35171129 0.35173553 0.35164080 0.35175789 2.67035376 2.20777626 0.32924875 0.32926571 0.32919757 0.32928351 2.98451302 2.13998632 0.30948123 0.30949177 0.30944250 0.30950798 3.29867229 2.07734711 0.29191278 0.29192083 0.29188522 0.29193376 3.61283155 2.01964225 0.27630005 0.27630487 0.27627951 0.27631672 3.92699082 1.96591097 0.26223595 0.26223848 0.26222091 0.26224923 4.24115008 1.91586112 0.24953567 0.24953650 0.24952495 0.24954624 4.55530935 1.86902429 0.23799061 0.23798933 0.23798248 0.23799901 4.86946861 1.82496310 0.22742281 0.22742021 0.22741711 0.22742944 5.18362788 1.78360744 0.21775102 0.21774815 0.21774801 0.21775618 5.49778714 1.74475272 0.20889062 0.20888751 0.20888976 0.20889458 5.81194641 1.70799552 0.20070162 0.20069775 0.20070195 0.20070462 6.12610567 1.67321277 0.19312206 0.19311788 0.19312365 0.19312426 6.44026494 1.64041870 0.18613396 0.18612945 0.18613650 0.18613549 6.75442421 1.60917869 0.17961004 0.17960534 0.17961344 0.17961102 7.06858347 1.57926501 0.17348007 0.17347499 0.17348400 0.17348062 7.38274274 1.55108009 0.16783142 0.16782633 0.16783607 0.16783159 7.69690200 1.52425064 0.16256000 0.16255493 0.16256525 0.16255989 8.01106127 1.49844569 0.15757403 0.15756886 0.15757969 0.15757368 8.32522053 1.47356925 0.15284134 0.15283604 0.15284729 0.15284079 8.63937980 1.44983354 0.14841212 0.14840675 0.14841835 0.14841141 8.95353906 1.42712922 0.14425226 0.14424694 0.14425882 0.14425140 9.26769833 1.40525734 0.14030979 0.14030430 0.14031641 0.14030884 9.58185759 1.38417887 0.13656944 0.13656385 0.13657613 0.13656843 9.89601686 1.36387211 0.13302376 0.13301809 0.13303053 0.13302269 10.21017612 1.34432858 0.12966775 0.12966207 0.12967462 0.12966663 10.52433539 1.32538996 0.12646027 0.12645460 0.12646725 0.12645910 10.83849465 1.30707255 0.12340417 0.12339841 0.12341112 0.12340298 11.15265392 1.28945903 0.12051735 0.12051157 0.12052434 0.12051615 11.46681319 1.27224235 0.11772302 0.11771717 0.11772996 0.11772181 11.78097245 1.25561714 0.11506768 0.11506182 0.11507462 0.11506646 12.09513172 1.23953512 0.11253859 0.11253275 0.11254557 0.11253735 12.40929098 1.22394799 0.11012306 0.11011723 0.11013003 0.11012181 12.72345025 1.20885223 0.10781954 0.10781377 0.10782655 0.10781829 13.03760951 1.19412198 0.10559592 0.10559017 0.10560291 0.10559467 13.35176878 1.17974578 0.10344915 0.10344344 0.10345613 0.10344791 13.66592804 1.16577308 0.10139121 0.10138553 0.10139816 0.10138999 13.98008731 1.15201292 0.09937466 0.09936896 0.09938153 0.09937347 14.29424657 1.13880593 0.09748246 0.09747676 0.09748927 0.09748129 14.60840584 1.12605096 0.09568941 0.09568372 0.09569617 0.09568823 14.92256510 1.11344601 0.09392162 0.09391597 0.09392834 0.09392045 15.23672437 1.10108771 0.09220275 0.09219715 0.09220944 0.09220160 15.55088364 1.08906960 0.09055520 0.09054965 0.09056186 0.09055406 15.86504290 1.07740771 0.08898266 0.08897714 0.08898927 0.08898154 16.17920217 1.06592837 0.08744277 0.08743732 0.08744936 0.08744168 16.49336143 1.05471255 0.08595520 0.08594977 0.08596173 0.08595413 16.80752070 1.04386526 0.08454539 0.08453997 0.08455184 0.08454433 17.12167996 1.03321388 0.08317132 0.08316591 0.08317770 0.08317027 17.43583923 1.02274948 0.08183060 0.08182527 0.08183696 0.08182956 17.74999849 1.01253538 0.08053884 0.08053356 0.08054515 0.08053782 18.06415776 1.00251194 0.07928157 0.07927632 0.07928782 0.07928056 18.37831702 0.99267094 0.07805669 0.07805148 0.07806289 0.07805570 18.69247629 0.98298400 0.07685746 0.07685230 0.07686361 0.07685648 19.00663555 0.97339716 0.07567091 0.07566577 0.07567698 0.07566994 19.32079482 0.96399846 0.07451838 0.07451327 0.07452440 0.07451742 19.63495408 0.95494226 0.07343699 0.07343194 0.07344298 0.07343605 19.94911335 0.94606972 0.07238843 0.07238341 0.07239436 0.07238750 20.26327262 0.93737070 0.07137045 0.07136548 0.07137633 0.07136954 20.57743188 0.92891942 0.07040103 0.07039610 0.07040686 0.07040013 20.89159115 0.92065887 0.06946642 0.06946153 0.06947220 0.06946554 21.20575041 0.91254464 0.06855598 0.06855112 0.06856171 0.06855510 21.51990968 0.90456895 0.06766790 0.06766308 0.06767358 0.06766704 21.83406894 0.89672813 0.06680140 0.06679662 0.06680703 0.06680055 22.14822821 0.88901870 0.06595573 0.06595098 0.06596131 0.06595488 22.46238747 0.88143732 0.06513017 0.06512546 0.06513570 0.06512934 22.77654674 0.87398078 0.06432405 0.06431938 0.06432953 0.06432322 23.09070600 0.86664596 0.06353671 0.06353208 0.06354215 0.06353590 23.40486527 0.85942987 0.06276753 0.06276295 0.06277292 0.06276673 23.71902453 0.85232963 0.06201593 0.06201138 0.06202127 0.06201514 24.03318380 0.84534243 0.06128132 0.06127680 0.06128662 0.06128054 24.34734307 0.83846559 0.06056316 0.06055868 0.06056841 0.06056239 24.66150233 0.83169649 0.05986093 0.05985649 0.05986614 0.05986017 24.97566160 0.82503263 0.05917413 0.05916972 0.05917929 0.05917338 25.28982086 0.81847155 0.05850227 0.05849790 0.05850739 0.05850153 25.60398013 0.81201091 0.05784490 0.05784056 0.05784997 0.05784416 25.91813939 0.80564842 0.05720156 0.05719726 0.05720659 0.05720083 26.23229866 0.79938188 0.05657184 0.05656757 0.05657682 0.05657112 26.54645792 0.79320913 0.05595532 0.05595109 0.05596027 0.05595461 26.86061719 0.78712811 0.05535162 0.05534742 0.05535652 0.05535092 27.17477645 0.78113681 0.05476035 0.05475619 0.05476521 0.05475966 27.48893572 0.77523326 0.05418115 0.05417702 0.05418597 0.05418046 27.80309498 0.76941555 0.05361366 0.05360957 0.05361844 0.05361298 28.11725425 0.76368182 0.05305755 0.05305349 0.05306229 0.05305688 28.43141351 0.75803026 0.05251248 0.05250845 0.05251718 0.05251182 28.74557278 0.75245913 0.05197814 0.05197414 0.05198280 0.05197748 29.05973205 0.74696672 0.05145421 0.05145024 0.05145884 0.05145356 29.37389131 0.74155138 0.05094042 0.05093648 0.05094500 0.05093977 29.68805058 0.73621150 0.05043646 0.05043256 0.05044101 0.05043583 30.00220984 0.73094553 0.04994208 0.04993820 0.04994659 0.04994145 30.31636911 0.72575195 0.04945701 0.04945316 0.04946148 0.04945638 30.63052837 0.72062929 0.04898099 0.04897717 0.04898543 0.04898037 30.94468764 0.71557612 0.04851378 0.04850999 0.04851818 0.04851317 31.25884690 0.71059104 0.04805515 0.04805139 0.04805951 0.04805454 31.57300617 0.70567271 0.04760486 0.04760113 0.04760919 0.04760426 31.88716543 0.70081980 0.04716270 0.04715900 0.04716700 0.04716211 32.20132470 0.69603103 0.04672846 0.04672478 0.04673272 0.04672787 32.51548396 0.69130515 0.04630192 0.04629828 0.04630616 0.04630134 32.82964323 0.68664095 0.04588290 0.04587928 0.04588710 0.04588233 33.14380250 0.68203725 0.04547120 0.04546761 0.04547537 0.04547063 33.45796176 0.67749288 0.04506664 0.04506307 0.04507078 0.04506608 33.77212103 0.67300673 0.04466904 0.04466550 0.04467314 0.04466848 34.08628029 0.66857769 0.04427822 0.04427470 0.04428229 0.04427766 34.40043956 0.66420471 0.04389402 0.04389053 0.04389806 0.04389346 34.71459882 0.65988674 0.04351627 0.04351281 0.04352028 0.04351572 35.02875809 0.65562276 0.04314482 0.04314138 0.04314880 0.04314428 35.34291735 0.65141178 0.04277952 0.04277611 0.04278347 0.04277899 35.65707662 0.64725284 0.04242022 0.04241683 0.04242415 0.04241969 35.97123588 0.64314498 0.04206678 0.04206341 0.04207067 0.04206625 36.28539515 0.63908728 0.04171905 0.04171571 0.04172292 0.04171853 36.59955441 0.63507883 0.04137691 0.04137359 0.04138074 0.04137639 36.91371368 0.63111875 0.04104021 0.04103691 0.04104402 0.04103970 37.22787295 0.62720618 0.04070884 0.04070556 0.04071262 0.04070833 37.54203221 0.62334028 0.04038266 0.04037942 0.04038642 0.04038216 37.85619148 0.61952022 0.04006157 0.04005835 0.04006530 0.04006107 38.17035074 0.61574520 0.03974545 0.03974224 0.03974915 0.03974495 38.48451001 0.61201444 0.03943417 0.03943099 0.03943785 0.03943368 38.79866927 0.60832717 0.03912764 0.03912448 0.03913129 0.03912715 39.11282854 0.60468264 0.03882575 0.03882261 0.03882937 0.03882526 39.42698780 0.60108012 0.03852839 0.03852527 0.03853199 0.03852791 39.74114707 0.59751890 0.03823547 0.03823237 0.03823905 0.03823499 40.05530633 0.59399828 0.03794688 0.03794381 0.03795044 0.03794641 40.36946560 0.59051757 0.03766255 0.03765949 0.03766607 0.03766208 40.68362486 0.58707611 0.03738236 0.03737932 0.03738586 0.03738189 40.99778413 0.58367325 0.03710624 0.03710322 0.03710972 0.03710578 41.31194339 0.58030835 0.03683409 0.03683110 0.03683755 0.03683364 41.62610266 0.57698077 0.03656584 0.03656287 0.03656928 0.03656539 41.94026193 0.57368992 0.03630141 0.03629845 0.03630482 0.03630096 42.25442119 0.57043519 0.03604070 0.03603776 0.03604409 0.03604026 42.56858046 0.56721600 0.03578366 0.03578074 0.03578703 0.03578321 42.88273972 0.56403178 0.03553019 0.03552729 0.03553354 0.03552975 43.19689899 0.56088196 0.03528023 0.03527735 0.03528356 0.03527980 43.51105825 0.55776600 0.03503372 0.03503085 0.03503702 0.03503328 43.82521752 0.55468336 0.03479056 0.03478771 0.03479385 0.03479013 44.13937678 0.55163352 0.03455071 0.03454788 0.03455397 0.03455028 44.45353605 0.54861596 0.03431410 0.03431128 0.03431734 0.03431367 44.76769531 0.54563018 0.03408065 0.03407786 0.03408387 0.03408023 45.08185458 0.54267568 0.03385032 0.03384754 0.03385352 0.03384990 45.39601384 0.53975199 0.03362303 0.03362027 0.03362621 0.03362262 45.71017311 0.53685861 0.03339874 0.03339599 0.03340190 0.03339832 46.02433238 0.53399511 0.03317737 0.03317464 0.03318051 0.03317696 46.33849164 0.53116100 0.03295888 0.03295617 0.03296201 0.03295847 46.65265091 0.52835586 0.03274322 0.03274052 0.03274632 0.03274281 46.96681017 0.52557924 0.03253031 0.03252763 0.03253340 0.03252991 47.28096944 0.52283071 0.03232013 0.03231746 0.03232319 0.03231973 47.59512870 0.52010985 0.03211260 0.03210995 0.03211565 0.03211221 47.90928797 0.51741625 0.03190769 0.03190506 0.03191072 0.03190730 48.22344723 0.51474951 0.03170535 0.03170273 0.03170836 0.03170496 48.53760650 0.51210922 0.03150552 0.03150292 0.03150852 0.03150513 48.85176576 0.50949500 0.03130817 0.03130558 0.03131114 0.03130778 49.16592503 0.50690646 0.03111324 0.03111067 0.03111620 0.03111285 49.48008429 0.50434324 0.03092069 0.03091813 0.03092363 0.03092031 49.79424356 0.50180497 0.03073049 0.03072794 0.03073341 0.03073011 50.10840282 0.49929129 0.03054258 0.03054005 0.03054549 0.03054220 50.42256209 0.49680184 0.03035692 0.03035441 0.03035982 0.03035655 50.73672136 0.49433628 0.03017349 0.03017099 0.03017636 0.03017311 51.05088062 0.49189426 0.02999223 0.02998974 0.02999509 0.02999186 51.36503989 0.48947547 0.02981311 0.02981064 0.02981595 0.02981274 51.67919915 0.48707956 0.02963609 0.02963363 0.02963892 0.02963573 51.99335842 0.48470623 0.02946114 0.02945869 0.02946395 0.02946078 52.30751768 0.48235515 0.02928822 0.02928579 0.02929102 0.02928786 52.62167695 0.48002601 0.02911729 0.02911487 0.02912008 0.02911694 52.93583621 0.47771852 0.02894833 0.02894592 0.02895110 0.02894797 53.24999548 0.47543237 0.02878129 0.02877890 0.02878404 0.02878094 53.56415474 0.47316728 0.02861615 0.02861377 0.02861889 0.02861580 53.87831401 0.47092295 0.02845288 0.02845051 0.02845560 0.02845253 54.19247327 0.46869910 0.02829144 0.02828908 0.02829414 0.02829109 54.50663254 0.46649546 0.02813179 0.02812945 0.02813449 0.02813145 54.82079181 0.46431176 0.02797393 0.02797160 0.02797660 0.02797358 55.13495107 0.46214773 0.02781780 0.02781548 0.02782047 0.02781746 55.44911034 0.46000310 0.02766340 0.02766109 0.02766604 0.02766305 55.76326960 0.45787763 0.02751067 0.02750838 0.02751331 0.02751034 56.07742887 0.45577105 0.02735961 0.02735733 0.02736224 0.02735928 56.39158813 0.45368312 0.02721019 0.02720792 0.02721280 0.02720985 56.70574740 0.45161359 0.02706237 0.02706011 0.02706496 0.02706204 57.01990666 0.44956223 0.02691613 0.02691388 0.02691872 0.02691580 57.33406593 0.44752880 0.02677146 0.02676922 0.02677402 0.02677113 57.64822519 0.44551306 0.02662831 0.02662608 0.02663086 0.02662798 57.96238446 0.44351479 0.02648667 0.02648446 0.02648921 0.02648635 58.27654372 0.44153377 0.02634652 0.02634432 0.02634905 0.02634620 58.59070299 0.43956978 0.02620783 0.02620564 0.02621035 0.02620751 58.90486225 0.43762259 0.02607058 0.02606840 0.02607309 0.02607026 59.21902152 0.43569200 0.02593475 0.02593258 0.02593724 0.02593443 59.53318079 0.43377780 0.02580031 0.02579815 0.02580279 0.02580000 59.84734005 0.43187979 0.02566725 0.02566510 0.02566972 0.02566694 60.16149932 0.42999775 0.02553555 0.02553341 0.02553800 0.02553523 60.47565858 0.42813149 0.02540518 0.02540305 0.02540762 0.02540486 60.78981785 0.42628082 0.02527612 0.02527400 0.02527855 0.02527581 61.10397711 0.42444554 0.02514835 0.02514624 0.02515077 0.02514804 61.41813638 0.42262546 0.02502186 0.02501976 0.02502427 0.02502155 61.73229564 0.42082040 0.02489663 0.02489454 0.02489902 0.02489632 62.04645491 0.41903017 0.02477263 0.02477055 0.02477502 0.02477233 62.36061417 0.41725460 0.02464986 0.02464779 0.02465223 0.02464955 62.67477344 0.41549350 0.02452828 0.02452622 0.02453064 0.02452798 62.98893270 0.41374670 0.02440789 0.02440584 0.02441024 0.02440759 63.30309197 0.41201403 0.02428867 0.02428662 0.02429101 0.02428837 63.61725124 0.41029532 0.02417059 0.02416856 0.02417292 0.02417029 63.93141050 0.40859041 0.02405365 0.02405163 0.02405597 0.02405336 64.24556977 0.40689912 0.02393783 0.02393582 0.02394014 0.02393754 64.55972903 0.40522130 0.02382311 0.02382110 0.02382541 0.02382282 64.87388830 0.40355680 0.02370947 0.02370748 0.02371176 0.02370918 65.18804756 0.40190545 0.02359691 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