# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.15707963 3.53740918 0.76540318 0.76571711 0.76357196 0.76696284 0.47123890 3.11242989 0.63239370 0.63244106 0.63089067 0.63383790 0.78539816 2.85025121 0.54634647 0.54640688 0.54557018 0.54701579 1.09955743 2.68291317 0.48783785 0.48791216 0.48743419 0.48815764 1.41371669 2.55729210 0.44344548 0.44350650 0.44321129 0.44361459 1.72787596 2.45352114 0.40759584 0.40764208 0.40744769 0.40769612 2.04203522 2.36281713 0.37749542 0.37752706 0.37739340 0.37756094 2.35619449 2.28172004 0.35172239 0.35174379 0.35164911 0.35176884 2.67035376 2.20801753 0.32931417 0.32932842 0.32926026 0.32934887 2.98451302 2.14021798 0.30954674 0.30955551 0.30950617 0.30957353 3.29867229 2.07783894 0.29204934 0.29205471 0.29201904 0.29207039 3.61283155 2.02010568 0.27642143 0.27642503 0.27639961 0.27643812 3.92699082 1.96634157 0.26234522 0.26234652 0.26232894 0.26235851 4.24115008 1.91614409 0.24960619 0.24960637 0.24959478 0.24961679 4.55530935 1.86925584 0.23805166 0.23805031 0.23804344 0.23806008 4.86946861 1.82518146 0.22747712 0.22747487 0.22747173 0.22748373 5.18362788 1.78385004 0.21781760 0.21781504 0.21781489 0.21782275 5.49778714 1.74511081 0.20898532 0.20898240 0.20898462 0.20898927 5.81194641 1.70827241 0.20077224 0.20076882 0.20077297 0.20077522 6.12610567 1.67357883 0.19321534 0.19321138 0.19321712 0.19321753 6.44026494 1.64072286 0.18621397 0.18620964 0.18621668 0.18621550 6.75442421 1.60958857 0.17971665 0.17971193 0.17972002 0.17971764 7.06858347 1.57983488 0.17362424 0.17361932 0.17362829 0.17362479 7.38274274 1.55141715 0.16791575 0.16791071 0.16792041 0.16791593 7.69690200 1.52427049 0.16256461 0.16255944 0.16256977 0.16256450 8.01106127 1.49851444 0.15759150 0.15758631 0.15759713 0.15759116 8.32522053 1.47379214 0.15289798 0.15289252 0.15290376 0.15289744 8.63937980 1.45017465 0.14849803 0.14849257 0.14850414 0.14849733 8.95353906 1.42736008 0.14431067 0.14430512 0.14431698 0.14430984 9.26769833 1.40552015 0.14037538 0.14036975 0.14038183 0.14037445 9.58185759 1.38441376 0.13662820 0.13662254 0.13663481 0.13662719 9.89601686 1.36397255 0.13304882 0.13304315 0.13305557 0.13304776 10.21017612 1.34438004 0.12968134 0.12967557 0.12968812 0.12968024 10.52433539 1.32554041 0.12649901 0.12649318 0.12650582 0.12649786 10.83849465 1.30713514 0.12342043 0.12341460 0.12342731 0.12341924 11.15265392 1.28939571 0.12050223 0.12049640 0.12050916 0.12050101 11.46681319 1.27238913 0.11775954 0.11775374 0.11776652 0.11775831 11.78097245 1.25578395 0.11510910 0.11510336 0.11511616 0.11510786 12.09513172 1.23963912 0.11256501 0.11255923 0.11257203 0.11256377 12.40929098 1.22401560 0.11014063 0.11013480 0.11014760 0.11013938 12.72345025 1.20900134 0.10785687 0.10785108 0.10786385 0.10785563 13.03760951 1.19415643 0.10560493 0.10559920 0.10561192 0.10560370 13.35176878 1.17972419 0.10344467 0.10343898 0.10345166 0.10344345 13.66592804 1.16592769 0.10142983 0.10142416 0.10143678 0.10142863 13.98008731 1.15241337 0.09947322 0.09946754 0.09948011 0.09947203 14.29424657 1.13906987 0.09754751 0.09754186 0.09755436 0.09754634 14.60840584 1.12607305 0.09569528 0.09568969 0.09570211 0.09569413 14.92256510 1.11339211 0.09390904 0.09390345 0.09391580 0.09390790 15.23672437 1.10107001 0.09219892 0.09219334 0.09220561 0.09219779 15.55088364 1.08903099 0.09054635 0.09054080 0.09055301 0.09054522 15.86504290 1.07741991 0.08898624 0.08898073 0.08899285 0.08898513 16.17920217 1.06601586 0.08746469 0.08745920 0.08747125 0.08746359 16.49336143 1.05486927 0.08599379 0.08598835 0.08600030 0.08599270 16.80752070 1.04384790 0.08454152 0.08453615 0.08454801 0.08454046 17.12167996 1.03311047 0.08314661 0.08314127 0.08315304 0.08314556 17.43583923 1.02261992 0.08179987 0.08179456 0.08180624 0.08179884 17.74999849 1.01246621 0.08052283 0.08051756 0.08052915 0.08052182 18.06415776 1.00250914 0.07928151 0.07927629 0.07928778 0.07928053 18.37831702 0.99255550 0.07802937 0.07802419 0.07803558 0.07802840 18.69247629 0.98281013 0.07681607 0.07681093 0.07682223 0.07681511 19.00663555 0.97339558 0.07567114 0.07566602 0.07567723 0.07567019 19.32079482 0.96430766 0.07459356 0.07458846 0.07459959 0.07459262 19.63495408 0.95527846 0.07351861 0.07351357 0.07352460 0.07351768 19.94911335 0.94622691 0.07242684 0.07242185 0.07243278 0.07242593 20.26327262 0.93744552 0.07138899 0.07138403 0.07139488 0.07138809 20.57743188 0.92893725 0.07040579 0.07040087 0.07041163 0.07040491 20.89159115 0.92064972 0.06946466 0.06945977 0.06947045 0.06946378 21.20575041 0.91253337 0.06855369 0.06854884 0.06855942 0.06855282 21.51990968 0.90455823 0.06766573 0.06766092 0.06767142 0.06766488 21.83406894 0.89671797 0.06679935 0.06679458 0.06680499 0.06679851 22.14822821 0.88900907 0.06595380 0.06594906 0.06595938 0.06595296 22.46238747 0.88142818 0.06512835 0.06512365 0.06513388 0.06512752 22.77654674 0.87397210 0.06432232 0.06431767 0.06432781 0.06432151 23.09070600 0.86663771 0.06353508 0.06353046 0.06354052 0.06353428 23.40486527 0.85942202 0.06276599 0.06276141 0.06277139 0.06276520 23.71902453 0.85232216 0.06201447 0.06200992 0.06201982 0.06201368 24.03318380 0.84533532 0.06127994 0.06127543 0.06128524 0.06127916 24.34734307 0.83845881 0.06056185 0.06055738 0.06056711 0.06056108 24.66150233 0.83169002 0.05985969 0.05985525 0.05986490 0.05985893 24.97566160 0.82502645 0.05917295 0.05916855 0.05917811 0.05917220 25.28982086 0.81846565 0.05850115 0.05849678 0.05850627 0.05850041 25.60398013 0.81200528 0.05784383 0.05783950 0.05784890 0.05784309 25.91813939 0.80564303 0.05720054 0.05719625 0.05720557 0.05719982 26.23229866 0.79937672 0.05657087 0.05656661 0.05657586 0.05657015 26.54645792 0.79320420 0.05595440 0.05595017 0.05595935 0.05595369 26.86061719 0.78712339 0.05535074 0.05534655 0.05535564 0.05535004 27.17477645 0.78113228 0.05475951 0.05475535 0.05476437 0.05475882 27.48893572 0.77522891 0.05418035 0.05417622 0.05418517 0.05417966 27.80309498 0.76941138 0.05361290 0.05360880 0.05361768 0.05361222 28.11725425 0.76367781 0.05305682 0.05305276 0.05306156 0.05305615 28.43141351 0.75802642 0.05251178 0.05250775 0.05251648 0.05251112 28.74557278 0.75245544 0.05197747 0.05197347 0.05198213 0.05197681 29.05973205 0.74696317 0.05145357 0.05144960 0.05145819 0.05145292 29.37389131 0.74154796 0.05093980 0.05093587 0.05094439 0.05093916 29.68805058 0.73620822 0.05043587 0.05043197 0.05044042 0.05043524 30.00220984 0.73094237 0.04994152 0.04993764 0.04994603 0.04994089 30.31636911 0.72574891 0.04945646 0.04945262 0.04946094 0.04945584 30.63052837 0.72062636 0.04898047 0.04897665 0.04898491 0.04897985 30.94468764 0.71557329 0.04851328 0.04850949 0.04851768 0.04851267 31.25884690 0.71058832 0.04805466 0.04805091 0.04805903 0.04805406 31.57300617 0.70567008 0.04760440 0.04760067 0.04760873 0.04760380 31.88716543 0.70081726 0.04716225 0.04715855 0.04716655 0.04716166 32.20132470 0.69602858 0.04672803 0.04672435 0.04673229 0.04672744 32.51548396 0.69130279 0.04630151 0.04629786 0.04630574 0.04630093 32.82964323 0.68663868 0.04588250 0.04587888 0.04588670 0.04588193 33.14380250 0.68203505 0.04547082 0.04546723 0.04547499 0.04547025 33.45796176 0.67749075 0.04506627 0.04506270 0.04507040 0.04506570 33.77212103 0.67300467 0.04466868 0.04466514 0.04467278 0.04466812 34.08628029 0.66857571 0.04427787 0.04427436 0.04428194 0.04427732 34.40043956 0.66420279 0.04389368 0.04389019 0.04389772 0.04389313 34.71459882 0.65988488 0.04351594 0.04351248 0.04351996 0.04351540 35.02875809 0.65562096 0.04314451 0.04314107 0.04314849 0.04314397 35.34291735 0.65141004 0.04277922 0.04277581 0.04278317 0.04277868 35.65707662 0.64725115 0.04241993 0.04241654 0.04242385 0.04241940 35.97123588 0.64314335 0.04206649 0.04206313 0.04207039 0.04206597 36.28539515 0.63908570 0.04171878 0.04171543 0.04172264 0.04171825 36.59955441 0.63507730 0.04137664 0.04137332 0.04138048 0.04137612 36.91371368 0.63111727 0.04103995 0.04103666 0.04104376 0.04103944 37.22787295 0.62720475 0.04070859 0.04070531 0.04071237 0.04070808 37.54203221 0.62333889 0.04038242 0.04037917 0.04038618 0.04038192 37.85619148 0.61951887 0.04006134 0.04005811 0.04006507 0.04006084 38.17035074 0.61574389 0.03974522 0.03974201 0.03974892 0.03974472 38.48451001 0.61201317 0.03943395 0.03943077 0.03943763 0.03943346 38.79866927 0.60832593 0.03912742 0.03912426 0.03913108 0.03912694 39.11282854 0.60468144 0.03882554 0.03882240 0.03882916 0.03882505 39.42698780 0.60107896 0.03852818 0.03852507 0.03853179 0.03852770 39.74114707 0.59751777 0.03823527 0.03823217 0.03823884 0.03823479 40.05530633 0.59399719 0.03794669 0.03794361 0.03795024 0.03794622 40.36946560 0.59051651 0.03766235 0.03765930 0.03766588 0.03766189 40.68362486 0.58707509 0.03738217 0.03737914 0.03738568 0.03738171 40.99778413 0.58367225 0.03710606 0.03710304 0.03710954 0.03710559 41.31194339 0.58030738 0.03683392 0.03683092 0.03683738 0.03683346 41.62610266 0.57697983 0.03656567 0.03656269 0.03656911 0.03656522 41.94026193 0.57368900 0.03630124 0.03629828 0.03630465 0.03630079 42.25442119 0.57043430 0.03604054 0.03603760 0.03604393 0.03604009 42.56858046 0.56721514 0.03578350 0.03578058 0.03578687 0.03578305 42.88273972 0.56403094 0.03553004 0.03552713 0.03553338 0.03552959 43.19689899 0.56088114 0.03528008 0.03527720 0.03528341 0.03527964 43.51105825 0.55776521 0.03503357 0.03503070 0.03503687 0.03503313 43.82521752 0.55468259 0.03479042 0.03478757 0.03479370 0.03478999 44.13937678 0.55163277 0.03455057 0.03454774 0.03455383 0.03455014 44.45353605 0.54861523 0.03431396 0.03431114 0.03431720 0.03431353 44.76769531 0.54562947 0.03408052 0.03407772 0.03408374 0.03408009 45.08185458 0.54267499 0.03385019 0.03384741 0.03385339 0.03384977 45.39601384 0.53975131 0.03362290 0.03362014 0.03362608 0.03362249 45.71017311 0.53685796 0.03339861 0.03339586 0.03340177 0.03339819 46.02433238 0.53399447 0.03317725 0.03317452 0.03318039 0.03317684 46.33849164 0.53116038 0.03295876 0.03295605 0.03296188 0.03295835 46.65265091 0.52835526 0.03274309 0.03274040 0.03274620 0.03274269 46.96681017 0.52557865 0.03253020 0.03252752 0.03253328 0.03252979 47.28096944 0.52283014 0.03232001 0.03231735 0.03232308 0.03231961 47.59512870 0.52010930 0.03211249 0.03210984 0.03211554 0.03211209 47.90928797 0.51741571 0.03190758 0.03190495 0.03191061 0.03190719 48.22344723 0.51474898 0.03170524 0.03170262 0.03170825 0.03170485 48.53760650 0.51210870 0.03150542 0.03150281 0.03150841 0.03150503 48.85176576 0.50949450 0.03130806 0.03130547 0.03131104 0.03130768 49.16592503 0.50690598 0.03111314 0.03111056 0.03111610 0.03111275 49.48008429 0.50434277 0.03092059 0.03091803 0.03092353 0.03092021 49.79424356 0.50180451 0.03073039 0.03072784 0.03073331 0.03073001 50.10840282 0.49929084 0.03054248 0.03053995 0.03054539 0.03054210 50.42256209 0.49680140 0.03035683 0.03035431 0.03035972 0.03035645 50.73672136 0.49433585 0.03017339 0.03017089 0.03017627 0.03017302 51.05088062 0.49189385 0.02999214 0.02998965 0.02999500 0.02999177 51.36503989 0.48947506 0.02981302 0.02981054 0.02981586 0.02981265 51.67919915 0.48707917 0.02963600 0.02963354 0.02963883 0.02963564 51.99335842 0.48470584 0.02946105 0.02945861 0.02946386 0.02946069 52.30751768 0.48235477 0.02928813 0.02928570 0.02929093 0.02928777 52.62167695 0.48002565 0.02911721 0.02911479 0.02911999 0.02911685 52.93583621 0.47771816 0.02894825 0.02894584 0.02895101 0.02894789 53.24999548 0.47543202 0.02878121 0.02877882 0.02878396 0.02878086 53.56415474 0.47316694 0.02861607 0.02861369 0.02861881 0.02861572 53.87831401 0.47092262 0.02845280 0.02845043 0.02845552 0.02845245 54.19247327 0.46869878 0.02829136 0.02828900 0.02829406 0.02829101 54.50663254 0.46649515 0.02813172 0.02812937 0.02813441 0.02813137 54.82079181 0.46431146 0.02797385 0.02797152 0.02797653 0.02797351 55.13495107 0.46214743 0.02781773 0.02781541 0.02782039 0.02781738 55.44911034 0.46000281 0.02766332 0.02766101 0.02766597 0.02766298 55.76326960 0.45787735 0.02751060 0.02750831 0.02751324 0.02751026 56.07742887 0.45577077 0.02735954 0.02735726 0.02736216 0.02735920 56.39158813 0.45368285 0.02721012 0.02720784 0.02721273 0.02720978 56.70574740 0.45161333 0.02706230 0.02706004 0.02706489 0.02706197 57.01990666 0.44956197 0.02691606 0.02691382 0.02691865 0.02691573 57.33406593 0.44752855 0.02677139 0.02676915 0.02677395 0.02677106 57.64822519 0.44551282 0.02662824 0.02662601 0.02663080 0.02662791 57.96238446 0.44351456 0.02648660 0.02648439 0.02648915 0.02648628 58.27654372 0.44153354 0.02634645 0.02634425 0.02634898 0.02634613 58.59070299 0.43956955 0.02620777 0.02620557 0.02621028 0.02620744 58.90486225 0.43762237 0.02607052 0.02606833 0.02607302 0.02607020 59.21902152 0.43569179 0.02593469 0.02593251 0.02593718 0.02593437 59.53318079 0.43377760 0.02580025 0.02579809 0.02580273 0.02579993 59.84734005 0.43187958 0.02566719 0.02566504 0.02566966 0.02566688 60.16149932 0.42999755 0.02553549 0.02553335 0.02553794 0.02553517 60.47565858 0.42813130 0.02540511 0.02540298 0.02540756 0.02540480 60.78981785 0.42628063 0.02527606 0.02527394 0.02527849 0.02527575 61.10397711 0.42444535 0.02514829 0.02514618 0.02515071 0.02514798 61.41813638 0.42262528 0.02502180 0.02501970 0.02502421 0.02502150 61.73229564 0.42082022 0.02489657 0.02489448 0.02489897 0.02489626 62.04645491 0.41903000 0.02477257 0.02477050 0.02477496 0.02477227 62.36061417 0.41725443 0.02464980 0.02464773 0.02465217 0.02464950 62.67477344 0.41549334 0.02452822 0.02452616 0.02453059 0.02452792 62.98893270 0.41374654 0.02440783 0.02440578 0.02441018 0.02440753 63.30309197 0.41201388 0.02428861 0.02428657 0.02429095 0.02428831 63.61725124 0.41029517 0.02417054 0.02416851 0.02417287 0.02417024 63.93141050 0.40859026 0.02405360 0.02405158 0.02405592 0.02405330 64.24556977 0.40689898 0.02393778 0.02393576 0.02394008 0.02393748 64.55972903 0.40522117 0.02382306 0.02382105 0.02382535 0.02382276 64.87388830 0.40355666 0.02370942 0.02370743 0.02371171 0.02370913 65.18804756 0.40190532 0.02359686 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