# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.15707963 3.53754904 0.76547900 0.76571895 0.76357574 0.76704547 0.47123890 3.11133368 0.63215170 0.63219579 0.63064522 0.63359734 0.78539816 2.84930097 0.54612867 0.54621527 0.54537979 0.54679738 1.09955743 2.68242648 0.48773363 0.48781716 0.48733976 0.48805302 1.41371669 2.55697239 0.44338072 0.44343984 0.44314494 0.44354974 1.72787596 2.45319426 0.40753189 0.40757715 0.40738311 0.40763201 2.04203522 2.36281424 0.37750483 0.37753539 0.37740179 0.37757042 2.35619449 2.28180516 0.35175549 0.35177479 0.35168017 0.35180189 2.67035376 2.20801480 0.32931072 0.32932712 0.32925895 0.32934545 2.98451302 2.14029389 0.30955841 0.30956858 0.30951918 0.30958522 3.29867229 2.07770002 0.29200421 0.29201030 0.29197463 0.29202528 3.61283155 2.01972806 0.27631929 0.27632239 0.27629703 0.27633598 3.92699082 1.96603926 0.26226270 0.26226432 0.26224674 0.26227599 4.24115008 1.91597140 0.24955822 0.24955797 0.24954642 0.24956882 4.55530935 1.86891407 0.23795549 0.23795476 0.23794792 0.23796387 4.86946861 1.82492820 0.22740659 0.22740456 0.22740145 0.22741320 5.18362788 1.78377019 0.21779003 0.21778718 0.21778705 0.21779520 5.49778714 1.74503081 0.20895684 0.20895391 0.20895614 0.20896079 5.81194641 1.70837520 0.20079162 0.20078830 0.20079246 0.20079460 6.12610567 1.67364570 0.19322558 0.19322146 0.19322721 0.19322775 6.44026494 1.64090246 0.18624955 0.18624536 0.18625239 0.18625106 6.75442421 1.60952858 0.17969203 0.17968766 0.17969573 0.17969301 7.06858347 1.57965736 0.17357186 0.17356703 0.17357600 0.17357241 7.38274274 1.55136876 0.16789733 0.16789247 0.16790218 0.16789752 7.69690200 1.52435336 0.16257790 0.16257278 0.16258310 0.16257778 8.01106127 1.49856070 0.15759337 0.15758806 0.15759886 0.15759302 8.32522053 1.47384905 0.15290236 0.15289697 0.15290818 0.15290181 8.63937980 1.45015092 0.14848279 0.14847750 0.14848907 0.14848206 8.95353906 1.42713995 0.14424770 0.14424231 0.14425417 0.14424686 9.26769833 1.40537096 0.14033027 0.14032478 0.14033688 0.14032933 9.58185759 1.38427277 0.13658537 0.13657984 0.13659213 0.13658435 9.89601686 1.36389619 0.13302272 0.13301708 0.13302951 0.13302165 10.21017612 1.34444042 0.12968894 0.12968323 0.12969579 0.12968783 10.52433539 1.32560123 0.12650620 0.12650036 0.12651300 0.12650505 10.83849465 1.30749166 0.12350141 0.12349559 0.12350831 0.12350023 11.15265392 1.28976634 0.12058693 0.12058113 0.12059390 0.12058571 11.46681319 1.27254489 0.11779121 0.11778540 0.11779819 0.11778998 11.78097245 1.25596628 0.11514763 0.11514182 0.11515463 0.11514640 12.09513172 1.23980230 0.11259852 0.11259273 0.11260554 0.11259728 12.40929098 1.22424721 0.11019078 0.11018502 0.11019781 0.11018955 12.72345025 1.20899571 0.10784847 0.10784275 0.10785550 0.10784724 13.03760951 1.19422229 0.10561440 0.10560869 0.10562139 0.10561317 13.35176878 1.17989806 0.10348043 0.10347473 0.10348740 0.10347921 13.66592804 1.16585062 0.10140383 0.10139819 0.10141080 0.10140263 13.98008731 1.15218017 0.09940935 0.09940374 0.09941629 0.09940816 14.29424657 1.13881612 0.09747904 0.09747343 0.09748592 0.09747787 14.60840584 1.12589605 0.09564606 0.09564045 0.09565288 0.09564490 14.92256510 1.11346592 0.09392128 0.09391568 0.09392804 0.09392013 15.23672437 1.10124589 0.09223628 0.09223070 0.09224299 0.09223514 15.55088364 1.08921022 0.09058442 0.09057889 0.09059111 0.09058330 15.86504290 1.07756042 0.08901481 0.08900931 0.08902144 0.08901371 16.17920217 1.06615377 0.08749257 0.08748712 0.08749915 0.08749149 16.49336143 1.05496888 0.08601259 0.08600715 0.08601910 0.08601152 16.80752070 1.04395839 0.08456327 0.08455788 0.08456975 0.08456222 17.12167996 1.03322706 0.08316988 0.08316453 0.08317630 0.08316884 17.43583923 1.02269021 0.08181185 0.08180653 0.08181821 0.08181084 17.74999849 1.01247602 0.08052022 0.08051491 0.08052651 0.08051921 18.06415776 1.00255924 0.07928880 0.07928353 0.07929504 0.07928780 18.37831702 0.99262459 0.07804139 0.07803618 0.07804759 0.07804039 18.69247629 0.98295792 0.07684716 0.07684201 0.07685332 0.07684619 19.00663555 0.97357633 0.07571024 0.07570513 0.07571635 0.07570929 19.32079482 0.96427228 0.07458052 0.07457545 0.07458656 0.07457959 19.63495408 0.95507210 0.07346439 0.07345937 0.07347040 0.07346347 19.94911335 0.94607811 0.07238668 0.07238170 0.07239263 0.07238577 20.26327262 0.93737259 0.07136727 0.07136232 0.07137316 0.07136637 20.57743188 0.92893140 0.07040037 0.07039545 0.07040621 0.07039948 20.89159115 0.92067174 0.06946605 0.06946117 0.06947184 0.06946517 21.20575041 0.91255726 0.06855561 0.06855077 0.06856135 0.06855475 21.51990968 0.90458131 0.06766755 0.06766274 0.06767323 0.06766669 21.83406894 0.89674023 0.06680105 0.06679628 0.06680669 0.06680021 22.14822821 0.88903054 0.06595538 0.06595065 0.06596097 0.06595455 22.46238747 0.88144892 0.06512983 0.06512514 0.06513537 0.06512901 22.77654674 0.87399213 0.06432371 0.06431906 0.06432920 0.06432290 23.09070600 0.86665708 0.06353638 0.06353177 0.06354183 0.06353558 23.40486527 0.85944076 0.06276721 0.06276264 0.06277261 0.06276642 23.71902453 0.85234029 0.06201561 0.06201107 0.06202096 0.06201483 24.03318380 0.84535287 0.06128101 0.06127650 0.06128631 0.06128024 24.34734307 0.83847581 0.06056286 0.06055839 0.06056811 0.06056209 24.66150233 0.83170650 0.05986063 0.05985620 0.05986584 0.05985988 24.97566160 0.82504243 0.05917384 0.05916944 0.05917900 0.05917309 25.28982086 0.81848115 0.05850198 0.05849762 0.05850710 0.05850124 25.60398013 0.81202031 0.05784461 0.05784028 0.05784969 0.05784388 25.91813939 0.80565763 0.05720128 0.05719699 0.05720631 0.05720056 26.23229866 0.79939089 0.05657157 0.05656731 0.05657655 0.05657085 26.54645792 0.79321796 0.05595505 0.05595083 0.05596000 0.05595435 26.86061719 0.78713676 0.05535136 0.05534716 0.05535626 0.05535066 27.17477645 0.78114528 0.05476009 0.05475593 0.05476495 0.05475940 27.48893572 0.77524155 0.05418090 0.05417677 0.05418572 0.05418021 27.80309498 0.76942367 0.05361341 0.05360932 0.05361820 0.05361274 28.11725425 0.76368978 0.05305730 0.05305324 0.05306205 0.05305664 28.43141351 0.75803806 0.05251224 0.05250821 0.05251694 0.05251158 28.74557278 0.75246677 0.05197790 0.05197390 0.05198256 0.05197724 29.05973205 0.74697420 0.05145398 0.05145001 0.05145860 0.05145333 29.37389131 0.74155871 0.05094019 0.05093625 0.05094477 0.05093954 29.68805058 0.73621868 0.05043624 0.05043233 0.05044079 0.05043560 30.00220984 0.73095256 0.04994186 0.04993799 0.04994637 0.04994123 30.31636911 0.72575884 0.04945679 0.04945294 0.04946126 0.04945617 30.63052837 0.72063604 0.04898077 0.04897696 0.04898521 0.04898016 30.94468764 0.71558273 0.04851357 0.04850978 0.04851797 0.04851296 31.25884690 0.71059753 0.04805494 0.04805118 0.04805931 0.04805433 31.57300617 0.70567906 0.04760465 0.04760093 0.04760899 0.04760406 31.88716543 0.70082602 0.04716250 0.04715880 0.04716680 0.04716191 32.20132470 0.69603713 0.04672826 0.04672459 0.04673252 0.04672767 32.51548396 0.69131113 0.04630173 0.04629808 0.04630596 0.04630115 32.82964323 0.68664681 0.04588271 0.04587909 0.04588691 0.04588213 33.14380250 0.68204299 0.04547101 0.04546742 0.04547518 0.04547044 33.45796176 0.67749851 0.04506645 0.04506289 0.04507059 0.04506589 33.77212103 0.67301225 0.04466885 0.04466531 0.04467296 0.04466829 34.08628029 0.66858310 0.04427804 0.04427452 0.04428211 0.04427748 34.40043956 0.66421001 0.04389384 0.04389035 0.04389788 0.04389329 34.71459882 0.65989194 0.04351609 0.04351263 0.04352011 0.04351555 35.02875809 0.65562786 0.04314465 0.04314121 0.04314863 0.04314411 35.34291735 0.65141678 0.04277935 0.04277594 0.04278330 0.04277882 35.65707662 0.64725774 0.04242005 0.04241666 0.04242398 0.04241952 35.97123588 0.64314978 0.04206661 0.04206325 0.04207051 0.04206609 36.28539515 0.63909199 0.04171889 0.04171555 0.04172275 0.04171837 36.59955441 0.63508345 0.04137674 0.04137343 0.04138058 0.04137623 36.91371368 0.63112328 0.04104005 0.04103676 0.04104386 0.04103954 37.22787295 0.62721063 0.04070868 0.04070541 0.04071246 0.04070817 37.54203221 0.62334464 0.04038251 0.04037926 0.04038627 0.04038201 37.85619148 0.61952449 0.04006142 0.04005819 0.04006515 0.04006092 38.17035074 0.61574939 0.03974529 0.03974209 0.03974900 0.03974480 38.48451001 0.61201855 0.03943402 0.03943084 0.03943770 0.03943353 38.79866927 0.60833120 0.03912749 0.03912433 0.03913115 0.03912701 39.11282854 0.60468659 0.03882560 0.03882246 0.03882923 0.03882512 39.42698780 0.60108400 0.03852825 0.03852513 0.03853185 0.03852777 39.74114707 0.59752271 0.03823533 0.03823223 0.03823890 0.03823485 40.05530633 0.59400201 0.03794674 0.03794367 0.03795030 0.03794627 40.36946560 0.59052124 0.03766241 0.03765935 0.03766594 0.03766194 40.68362486 0.58707971 0.03738222 0.03737918 0.03738573 0.03738176 40.99778413 0.58367678 0.03710610 0.03710308 0.03710958 0.03710564 41.31194339 0.58031181 0.03683396 0.03683096 0.03683742 0.03683350 41.62610266 0.57698417 0.03656571 0.03656273 0.03656915 0.03656526 41.94026193 0.57369326 0.03630128 0.03629832 0.03630469 0.03630083 42.25442119 0.57043847 0.03604058 0.03603764 0.03604397 0.03604013 42.56858046 0.56721921 0.03578353 0.03578061 0.03578690 0.03578309 42.88273972 0.56403493 0.03553007 0.03552716 0.03553341 0.03552962 43.19689899 0.56088506 0.03528011 0.03527723 0.03528344 0.03527967 43.51105825 0.55776904 0.03503359 0.03503073 0.03503690 0.03503316 43.82521752 0.55468635 0.03479044 0.03478759 0.03479372 0.03479001 44.13937678 0.55163645 0.03455059 0.03454776 0.03455385 0.03455016 44.45353605 0.54861884 0.03431398 0.03431116 0.03431722 0.03431355 44.76769531 0.54563301 0.03408054 0.03407774 0.03408376 0.03408011 45.08185458 0.54267846 0.03385020 0.03384742 0.03385340 0.03384978 45.39601384 0.53975471 0.03362292 0.03362015 0.03362610 0.03362250 45.71017311 0.53686129 0.03339862 0.03339588 0.03340178 0.03339821 46.02433238 0.53399773 0.03317726 0.03317453 0.03318040 0.03317685 46.33849164 0.53116358 0.03295877 0.03295606 0.03296189 0.03295836 46.65265091 0.52835840 0.03274310 0.03274041 0.03274621 0.03274270 46.96681017 0.52558173 0.03253020 0.03252752 0.03253329 0.03252980 47.28096944 0.52283316 0.03232002 0.03231735 0.03232309 0.03231962 47.59512870 0.52011225 0.03211250 0.03210985 0.03211554 0.03211210 47.90928797 0.51741861 0.03190759 0.03190495 0.03191062 0.03190719 48.22344723 0.51475182 0.03170524 0.03170263 0.03170826 0.03170485 48.53760650 0.51211149 0.03150542 0.03150282 0.03150841 0.03150503 48.85176576 0.50949723 0.03130806 0.03130548 0.03131104 0.03130768 49.16592503 0.50690866 0.03111314 0.03111056 0.03111610 0.03111275 49.48008429 0.50434540 0.03092059 0.03091803 0.03092353 0.03092021 49.79424356 0.50180709 0.03073039 0.03072784 0.03073331 0.03073001 50.10840282 0.49929337 0.03054248 0.03053995 0.03054539 0.03054210 50.42256209 0.49680389 0.03035683 0.03035431 0.03035972 0.03035645 50.73672136 0.49433829 0.03017339 0.03017089 0.03017627 0.03017302 51.05088062 0.49189625 0.02999213 0.02998964 0.02999499 0.02999176 51.36503989 0.48947742 0.02981301 0.02981054 0.02981586 0.02981265 51.67919915 0.48708148 0.02963600 0.02963354 0.02963883 0.02963563 51.99335842 0.48470811 0.02946105 0.02945860 0.02946386 0.02946068 52.30751768 0.48235700 0.02928813 0.02928569 0.02929092 0.02928777 52.62167695 0.48002783 0.02911720 0.02911478 0.02911998 0.02911684 52.93583621 0.47772031 0.02894824 0.02894583 0.02895100 0.02894788 53.24999548 0.47543413 0.02878120 0.02877881 0.02878395 0.02878085 53.56415474 0.47316901 0.02861606 0.02861368 0.02861880 0.02861571 53.87831401 0.47092465 0.02845279 0.02845042 0.02845551 0.02845244 54.19247327 0.46870077 0.02829135 0.02828899 0.02829405 0.02829100 54.50663254 0.46649711 0.02813171 0.02812936 0.02813440 0.02813136 54.82079181 0.46431338 0.02797384 0.02797151 0.02797652 0.02797350 55.13495107 0.46214932 0.02781772 0.02781540 0.02782038 0.02781737 55.44911034 0.46000467 0.02766331 0.02766100 0.02766596 0.02766297 55.76326960 0.45787917 0.02751059 0.02750829 0.02751323 0.02751025 56.07742887 0.45577256 0.02735953 0.02735725 0.02736215 0.02735919 56.39158813 0.45368461 0.02721011 0.02720783 0.02721271 0.02720977 56.70574740 0.45161506 0.02706229 0.02706003 0.02706488 0.02706195 57.01990666 0.44956367 0.02691605 0.02691380 0.02691863 0.02691572 57.33406593 0.44753022 0.02677137 0.02676914 0.02677394 0.02677104 57.64822519 0.44551446 0.02662823 0.02662600 0.02663078 0.02662790 57.96238446 0.44351617 0.02648659 0.02648438 0.02648913 0.02648627 58.27654372 0.44153513 0.02634644 0.02634424 0.02634897 0.02634612 58.59070299 0.43957111 0.02620775 0.02620556 0.02621027 0.02620743 58.90486225 0.43762390 0.02607050 0.02606832 0.02607301 0.02607018 59.21902152 0.43569329 0.02593467 0.02593250 0.02593716 0.02593435 59.53318079 0.43377907 0.02580024 0.02579808 0.02580272 0.02579992 59.84734005 0.43188104 0.02566718 0.02566503 0.02566964 0.02566686 60.16149932 0.42999898 0.02553547 0.02553333 0.02553793 0.02553516 60.47565858 0.42813270 0.02540510 0.02540297 0.02540754 0.02540479 60.78981785 0.42628201 0.02527604 0.02527392 0.02527847 0.02527573 61.10397711 0.42444671 0.02514828 0.02514617 0.02515070 0.02514797 61.41813638 0.42262662 0.02502179 0.02501969 0.02502420 0.02502148 61.73229564 0.42082154 0.02489656 0.02489447 0.02489895 0.02489625 62.04645491 0.41903129 0.02477256 0.02477048 0.02477494 0.02477226 62.36061417 0.41725570 0.02464978 0.02464771 0.02465216 0.02464948 62.67477344 0.41549458 0.02452821 0.02452615 0.02453057 0.02452791 62.98893270 0.41374777 0.02440782 0.02440577 0.02441017 0.02440752 63.30309197 0.41201508 0.02428859 0.02428655 0.02429093 0.02428830 63.61725124 0.41029636 0.02417052 0.02416849 0.02417285 0.02417022 63.93141050 0.40859143 0.02405358 0.02405156 0.02405590 0.02405329 64.24556977 0.40690013 0.02393776 0.02393575 0.02394007 0.02393747 64.55972903 0.40522230 0.02382304 0.02382104 0.02382534 0.02382275 64.87388830 0.40355778 0.02370941 0.02370741 0.02371169 0.02370911 65.18804756 0.40190641 0.02359684 0.02359486 0.02359912 0.02359655 65.50220683 0.40026805 0.02348534 0.02348336 0.02348760 0.02348505 65.81636609 0.39864253 0.02337487 0.02337290 0.02337713 0.02337458 66.13052536 0.39702972 0.02326543 0.02326347 0.02326768 0.02326515 66.44468462 0.39542946 0.02315701 0.02315506 0.02315924 0.02315672 66.75884389 0.39384161 0.02304958 0.02304764 0.02305180 0.02304930 67.07300315 0.39226603 0.02294314 0.02294120 0.02294535 0.02294285 67.38716242 0.39070258 0.02283767 0.02283574 0.02283987 0.02283739 67.70132168 0.38915112 0.02273315 0.02273124 0.02273535 0.02273288 68.01548095 0.38761151 0.02262959 0.02262768 0.02263177 0.02262931 68.32964022 0.38608362 0.02252696 0.02252506 0.02252913 0.02252668 68.64379948 0.38456733 0.02242524 0.02242335 0.02242741 0.02242497 68.95795875 0.38306249 0.02232444 0.02232256 0.02232660 0.02232416 69.27211801 0.38156898 0.02222453 0.02222266 0.02222668 0.02222426 69.58627728 0.38008668 0.02212551 0.02212364 0.02212765 0.02212524 69.90043654 0.37861546 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