# omega total a= 2 L= 2 a= 3 L= 2 0.03141593 2.66510316 1.07539918 1.07539918 0.09424778 2.69623666 1.03971577 1.03971577 0.15707963 2.63349435 0.98103107 0.98103107 0.21991149 2.55908624 0.92708014 0.92708014 0.28274334 2.48879670 0.87999408 0.87999408 0.34557519 2.42268142 0.83790204 0.83790204 0.40840704 2.36189495 0.80039192 0.80039192 0.47123890 2.30658238 0.76686952 0.76686952 0.53407075 2.25596629 0.73654668 0.73654668 0.59690260 2.20912470 0.70876050 0.70876050 0.65973446 2.16644413 0.68344544 0.68344544 0.72256631 2.12772259 0.66032851 0.66032851 0.78539816 2.09196174 0.63889379 0.63889379 0.84823002 2.05886323 0.61898707 0.61898707 0.91106187 2.02845488 0.60058133 0.60058133 0.97389372 2.00040838 0.58347391 0.58347391 1.03672558 1.97427731 0.56742113 0.56742113 1.09955743 1.94984378 0.55230337 0.55230337 1.16238928 1.92705364 0.53808978 0.53808978 1.22522113 1.90582614 0.52474222 0.52474222 1.28805299 1.88600019 0.51218298 0.51218298 1.35088484 1.86738989 0.50031834 0.50031834 1.41371669 1.84984037 0.48906739 0.48906739 1.47654855 1.83323386 0.47836782 0.47836782 1.53938040 1.81746709 0.46816620 0.46816620 1.60221225 1.80244061 0.45841256 0.45841256 1.66504411 1.78807233 0.44906632 0.44906632 1.72787596 1.77431236 0.44010296 0.44010296 1.79070781 1.76113948 0.43151196 0.43151196 1.85353967 1.74854263 0.42328755 0.42328755 1.91637152 1.73650295 0.41541992 0.41541992 1.97920337 1.72498642 0.40789149 0.40789149 2.04203522 1.71394716 0.40067859 0.40067859 2.10486708 1.70333562 0.39375552 0.39375552 2.16769893 1.69310637 0.38709844 0.38709844 2.23053078 1.68322307 0.38068799 0.38068799 2.29336264 1.67365848 0.37450917 0.37450917 2.35619449 1.66439195 0.36855026 0.36855026 2.41902634 1.65540554 0.36280074 0.36280074 2.48185820 1.64668069 0.35724974 0.35724974 2.54469005 1.63819781 0.35188581 0.35188581 2.60752190 1.62993661 0.34669716 0.34669716 2.67035376 1.62187843 0.34167279 0.34167279 2.73318561 1.61400750 0.33680320 0.33680320 2.79601746 1.60631226 0.33208096 0.33208096 2.85884931 1.59878504 0.32750058 0.32750058 2.92168117 1.59142131 0.32305816 0.32305816 2.98451302 1.58421776 0.31875033 0.31875033 3.04734487 1.57717153 0.31457399 0.31457399 3.11017673 1.57027787 0.31052505 0.31052505 3.17300858 1.56353046 0.30659875 0.30659875 3.23584043 1.55692112 0.30278938 0.30278938 3.29867229 1.55043976 0.29909039 0.29909039 3.36150414 1.54407574 0.29549499 0.29549499 3.42433599 1.53781836 0.29199642 0.29199642 3.48716785 1.53165738 0.28858822 0.28858822 3.54999970 1.52558418 0.28526477 0.28526477 3.61283155 1.51959169 0.28202125 0.28202125 3.67566340 1.51367439 0.27885366 0.27885366 3.73849526 1.50782837 0.27575884 0.27575884 3.80132711 1.50205138 0.27273445 0.27273445 3.86415896 1.49634170 0.26977848 0.26977848 3.92699082 1.49069866 0.26688945 0.26688945 3.98982267 1.48512182 0.26406603 0.26406603 4.05265452 1.47961118 0.26130710 0.26130710 4.11548638 1.47416634 0.25861138 0.25861138 4.17831823 1.46878716 0.25597776 0.25597776 4.24115008 1.46347326 0.25340500 0.25340500 4.30398194 1.45822370 0.25089164 0.25089164 4.36681379 1.45303735 0.24843614 0.24843614 4.42964564 1.44791253 0.24603671 0.24603671 4.49247749 1.44284729 0.24369147 0.24369147 4.55530935 1.43783875 0.24139811 0.24139811 4.61814120 1.43288399 0.23915432 0.23915432 4.68097305 1.42797954 0.23695757 0.23695757 4.74380491 1.42312176 0.23480527 0.23480527 4.80663676 1.41830695 0.23269484 0.23269484 4.86946861 1.41353130 0.23062366 0.23062366 4.93230047 1.40879160 0.22858947 0.22858947 4.99513232 1.40408446 0.22658991 0.22658991 5.05796417 1.39940741 0.22462314 0.22462314 5.12079603 1.39475790 0.22268728 0.22268728 5.18362788 1.39013416 0.22078089 0.22078089 5.24645973 1.38553483 0.21890271 0.21890271 5.30929158 1.38095886 0.21705171 0.21705171 5.37212344 1.37640563 0.21522704 0.21522704 5.43495529 1.37187500 0.21342814 0.21342814 5.49778714 1.36736668 0.21165438 0.21165438 5.56061900 1.36288116 0.20990551 0.20990551 5.62345085 1.35841882 0.20818129 0.20818129 5.68628270 1.35398024 0.20648155 0.20648155 5.74911456 1.34956605 0.20480617 0.20480617 5.81194641 1.34517723 0.20315523 0.20315523 5.87477826 1.34081459 0.20152873 0.20152873 5.93761012 1.33647912 0.19992675 0.19992675 6.00044197 1.33217144 0.19834923 0.19834923 6.06327382 1.32789243 0.19679623 0.19679623 6.12610567 1.32364326 0.19526798 0.19526798 6.18893753 1.31942389 0.19376409 0.19376409 6.25176938 1.31523541 0.19228479 0.19228479 6.31460123 1.31107790 0.19082976 0.19082976 6.37743309 1.30695155 0.18939878 0.18939878 6.44026494 1.30285632 0.18799152 0.18799152 6.50309679 1.29879227 0.18660771 0.18660771 6.56592865 1.29475888 0.18524678 0.18524678 6.62876050 1.29075600 0.18390837 0.18390837 6.69159235 1.28678296 0.18259187 0.18259187 6.75442421 1.28283921 0.18129674 0.18129674 6.81725606 1.27892416 0.18002242 0.18002242 6.88008791 1.27503694 0.17876821 0.17876821 6.94291976 1.27117704 0.17753363 0.17753363 7.00575162 1.26734368 0.17631804 0.17631804 7.06858347 1.26353613 0.17512085 0.17512085 7.13141532 1.25975371 0.17394148 0.17394148 7.19424718 1.25599559 0.17277933 0.17277933 7.25707903 1.25226130 0.17163394 0.17163394 7.31991088 1.24855003 0.17050470 0.17050470 7.38274274 1.24486129 0.16939118 0.16939118 7.44557459 1.24119420 0.16829275 0.16829275 7.50840644 1.23754825 0.16720898 0.16720898 7.57123830 1.23392303 0.16613947 0.16613947 7.63407015 1.23031775 0.16508367 0.16508367 7.69690200 1.22673184 0.16404113 0.16404113 7.75973385 1.22316491 0.16301150 0.16301150 7.82256571 1.21961621 0.16199424 0.16199424 7.88539756 1.21608540 0.16098905 0.16098905 7.94822941 1.21257176 0.15999541 0.15999541 8.01106127 1.20907521 0.15901314 0.15901314 8.07389312 1.20559487 0.15804169 0.15804169 8.13672497 1.20213077 0.15708091 0.15708091 8.19955683 1.19868228 0.15613038 0.15613038 8.26238868 1.19524922 0.15518988 0.15518988 8.32522053 1.19183121 0.15425910 0.15425910 8.38805239 1.18842813 0.15333786 0.15333786 8.45088424 1.18503964 0.15242587 0.15242587 8.51371609 1.18166579 0.15152305 0.15152305 8.57654794 1.17830618 0.15062908 0.15062908 8.63937980 1.17496100 0.14974397 0.14974397 8.70221165 1.17163001 0.14886749 0.14886749 8.76504350 1.16831324 0.14799953 0.14799953 8.82787536 1.16501058 0.14713995 0.14713995 8.89070721 1.16172220 0.14628875 0.14628875 8.95353906 1.15844801 0.14544577 0.14544577 9.01637092 1.15518814 0.14461100 0.14461100 9.07920277 1.15194261 0.14378434 0.14378434 9.14203462 1.14871132 0.14296568 0.14296568 9.20486648 1.14549440 0.14215497 0.14215497 9.26769833 1.14229211 0.14135227 0.14135227 9.33053018 1.13910435 0.14055744 0.14055744 9.39336203 1.13593097 0.13977034 0.13977034 9.45619389 1.13277248 0.13899113 0.13899113 9.58185759 1.12649936 0.13745571 0.13745571 9.70752130 1.12028521 0.13595072 0.13595072 9.83318501 1.11413014 0.13447566 0.13447566 10.02168056 1.10500831 0.13231806 0.13231806 10.14734427 1.09900064 0.13091548 0.13091548 10.27300798 1.09305148 0.12954085 0.12954085 10.39867168 1.08716053 0.12819361 0.12819361 10.58716724 1.07843193 0.12622256 0.12622256 10.71283095 1.07268402 0.12494084 0.12494084 10.83849465 1.06699224 0.12368416 0.12368416 11.02699021 1.05855855 0.12184476 0.12184476 11.15265392 1.05300446 0.12064799 0.12064799 11.34114948 1.04477413 0.11889550 0.11889550 11.46681319 1.03935365 0.11775483 0.11775483 11.65530874 1.03132084 0.11608386 0.11608386 11.78097245 1.02603015 0.11499585 0.11499585 11.96946801 1.01818955 0.11340162 0.11340162 12.15796357 1.01046210 0.11185145 0.11185145 12.28362728 1.00537264 0.11084184 0.11084184 12.47212283 0.99783070 0.10936224 0.10936224 12.66061839 0.99039849 0.10792350 0.10792350 12.84911395 0.98307486 0.10652455 0.10652455 12.97477766 0.97825226 0.10561357 0.10561357 13.16327322 0.97110720 0.10427884 0.10427884 13.35176878 0.96406768 0.10298134 0.10298134 13.54026434 0.95713233 0.10172009 0.10172009 13.72875990 0.95029957 0.10049400 0.10049400 13.91725546 0.94356770 0.09930198 0.09930198 14.10575101 0.93693470 0.09814283 0.09814283 14.35707843 0.92824086 0.09664627 0.09664627 14.54557399 0.92183007 0.09555890 0.09555890 14.73406955 0.91551055 0.09450011 0.09450011 14.92256510 0.90927981 0.09346856 0.09346856 15.17389252 0.90110592 0.09213327 0.09213327 15.36238808 0.89507266 0.09116025 0.09116025 15.55088364 0.88911999 0.09021025 0.09021025 15.80221105 0.88130456 0.08897741 0.08897741 15.99070661 0.87553125 0.08807677 0.08807677 16.24203402 0.86794737 0.08690601 0.08690601 16.49336143 0.86048955 0.08576772 0.08576772 16.68185699 0.85497645 0.08493415 0.08493415 16.93318440 0.84772968 0.08384820 0.08384820 17.18451182 0.84059865 0.08278995 0.08278995 17.37300737 0.83532442 0.08201360 0.08201360 17.62433479 0.82838850 0.08100057 0.08100057 17.87566220 0.82156022 0.08001178 0.08001178 18.12698961 0.81483707 0.07904619 0.07904619 18.37831702 0.80821666 0.07810287 0.07810287 18.62964444 0.80169674 0.07718098 0.07718098 18.88097185 0.79527519 0.07627972 0.07627972 19.19513111 0.78738348 0.07518106 0.07518106 19.44645853 0.78117592 0.07432366 0.07432366 19.69778594 0.77506036 0.07348470 0.07348470 20.01194520 0.76754254 0.07246105 0.07246105 20.26327262 0.76162742 0.07166148 0.07166148 20.57743188 0.75435463 0.07068536 0.07068536 20.82875929 0.74863125 0.06992253 0.06992253 21.14291856 0.74159293 0.06899078 0.06899078 21.45707782 0.73468048 0.06808242 0.06808242 21.70840524 0.72923914 0.06737202 0.06737202 22.02256450 0.72254573 0.06650369 0.06650369 22.33672377 0.71596994 0.06565651 0.06565651 22.65088303 0.70950898 0.06482974 0.06482974 22.96504230 0.70316009 0.06402268 0.06402268 23.27920156 0.69692063 0.06323466 0.06323466 23.59336083 0.69078799 0.06246505 0.06246505 23.97035195 0.68356628 0.06156495 0.06156495 24.28451121 0.67765986 0.06083370 0.06083370 24.59867048 0.67185240 0.06011899 0.06011899 24.97566160 0.66501082 0.05928240 0.05928240 25.28982086 0.65941299 0.05860221 0.05860221 25.66681198 0.65281652 0.05780560 0.05780560 26.04380310 0.64634850 0.05702964 0.05702964 26.35796236 0.64105403 0.05639822 0.05639822 26.73495348 0.63481234 0.05565815 0.05565815 27.11194460 0.62868932 0.05493664 0.05493664 27.48893572 0.62268172 0.05423303 0.05423303 27.86592684 0.61678641 0.05354668 0.05354668 28.30574981 0.61004644 0.05276694 0.05276694 28.68274093 0.60438416 0.05211593 0.05211593 29.05973205 0.59882490 0.05148033 0.05148033 29.49955502 0.59246566 0.05075760 0.05075760 29.87654614 0.58712036 0.05015364 0.05015364 30.31636911 0.58100366 0.04946646 0.04946646 30.75619208 0.57501191 0.04879739 0.04879739 31.19601505 0.56914139 0.04814573 0.04814573 31.57300617 0.56420324 0.04760053 0.04760053 32.07566099 0.55774966 0.04689206 0.04689206 32.51548396 0.55222165 0.04628884 0.04628884 32.95530694 0.54680119 0.04570059 0.04570059 33.39512991 0.54148518 0.04512678 0.04512678 33.89778473 0.53553381 0.04448802 0.04448802 34.33760770 0.53043170 0.04394346 0.04394346 34.84026253 0.52471740 0.04333686 0.04333686 35.34291735 0.51912375 0.04274646 0.04274646 35.78274032 0.51432530 0.04224265 0.04224265 36.28539515 0.50894776 0.04168094 0.04168094 36.78804997 0.50368036 0.04113371 0.04113371 37.35353665 0.49788198 0.04053469 0.04053469 37.85619148 0.49283758 0.04001643 0.04001643 38.35884630 0.48789319 0.03951103 0.03951103 38.92433298 0.48244661 0.03895726 0.03895726 39.48981966 0.47711878 0.03841854 0.03841854 39.99247448 0.47247949 0.03795184 0.03795184 40.55796116 0.46736552 0.03743996 0.03743996 41.12344784 0.46235953 0.03694150 0.03694150 41.68893451 0.45745809 0.03645594 0.03645594 42.31725304 0.45213068 0.03593098 0.03593098 42.88273972 0.44743935 0.03547109 0.03547109 43.51105825 0.44233781 0.03497353 0.03497353 44.07654493 0.43784321 0.03453736 0.03453736 44.70486346 0.43295329 0.03406514 0.03406514 45.33318199 0.42816944 0.03360551 0.03360551 45.96150052 0.42348821 0.03315796 0.03315796 46.58981905 0.41890629 0.03272203 0.03272203 47.28096944 0.41397711 0.03225541 0.03225541 47.90928797 0.40959361 0.03184248 0.03184248 48.60043835 0.40487553 0.03140017 0.03140017 49.29158873 0.40026261 0.03096985 0.03096985 49.98273912 0.39575132 0.03055104 0.03055104 50.67388950 0.39133833 0.03014329 0.03014329 51.36503989 0.38702042 0.02974618 0.02974618 52.11902212 0.38241482 0.02932461 0.02932461 52.81017251 0.37828598 0.02894844 0.02894844 53.56415474 0.37387982 0.02854883 0.02854883 54.31813698 0.36957258 0.02816000 0.02816000 55.07211922 0.36536094 0.02778153 0.02778153 55.82610145 0.36124176 0.02741301 0.02741301 56.64291554 0.35688013 0.02702457 0.02702457 57.39689778 0.35294399 0.02667558 0.02667558 58.21371187 0.34877404 0.02630745 0.02630745 59.03052596 0.34469879 0.02594927 0.02594927 59.84734005 0.34071507 0.02560064 0.02560064 60.72698599 0.33652375 0.02523544 0.02523544 61.54380008 0.33272051 0.02490547 0.02490547 62.42344603 0.32871698 0.02455957 0.02455957 63.30309197 0.32480589 0.02422308 0.02422308 64.18273791 0.32098409 0.02389563 0.02389563 65.06238386 0.31724858 0.02357686 0.02357686 65.94202980 0.31359647 0.02326643 0.02326643 66.88450759 0.30977293 0.02294272 0.02294272 67.82698539 0.30603876 0.02262784 0.02262784 68.76946319 0.30239087 0.02232144 0.02232144 69.71194098 0.29882634 0.02202318 0.02202318 70.71725063 0.29511290 0.02171365 0.02171365 71.72256028 0.29148786 0.02141265 0.02141265 72.72786993 0.28794814 0.02111985 0.02111985 73.73317958 0.28449078 0.02083490 0.02083490 74.73848923 0.28111298 0.02055751 0.02055751 75.80663073 0.27760824 0.02027072 0.02027072 76.87477223 0.27418720 0.01999178 0.01999178 77.94291374 0.27084694 0.01972039 0.01972039 79.01105524 0.26758467 0.01945623 0.01945623 80.14202859 0.26421254 0.01918411 0.01918411 81.27300195 0.26092184 0.01891946 0.01891946 82.40397530 0.25770970 0.01866198 0.01866198 83.53494866 0.25457336 0.01841140 0.01841140 84.72875387 0.25134215 0.01815406 0.01815406 85.92255908 0.24818956 0.01790379 0.01790379 87.11636428 0.24511281 0.01766030 0.01766030 88.31016949 0.24210923 0.01742333 0.01742333 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