# omega total a= 2 L= 2 a= 3 L= 2 0.03141593 2.63968825 1.06252672 1.06252672 0.09424778 2.67881534 1.03096642 1.03096642 0.15707963 2.62762173 0.97731436 0.97731436 0.21991149 2.55727358 0.92497332 0.92497332 0.28274334 2.48594687 0.87775144 0.87775144 0.34557519 2.42006632 0.83619911 0.83619911 0.40840704 2.36176068 0.80018473 0.80018473 0.47123890 2.30852173 0.76782601 0.76782601 0.53407075 2.25844414 0.73787931 0.73787931 0.59690260 2.21147510 0.71005383 0.71005383 0.65973446 2.16797941 0.68431449 0.68431449 0.72256631 2.12838568 0.66076273 0.66076273 0.78539816 2.09251742 0.63927055 0.63927055 0.84823002 2.05966032 0.61946831 0.61946831 0.91106187 2.02910826 0.60098207 0.60098207 0.97389372 2.00051072 0.58360014 0.58360014 1.03672558 1.97387481 0.56729552 0.56729552 1.09955743 1.94920439 0.55205839 0.55205839 1.16238928 1.92631610 0.53779573 0.53779573 1.22522113 1.90493140 0.52436762 0.52436762 1.28805299 1.88481068 0.51165239 0.51165239 1.35088484 1.86581096 0.49957728 0.49957728 1.41371669 1.84787245 0.48811272 0.48811272 1.47654855 1.83097144 0.47724840 0.47724840 1.53938040 1.81507311 0.46696875 0.46696875 1.60221225 1.80010857 0.45724056 0.45724056 1.66504411 1.78598249 0.44801600 0.44801600 1.72787596 1.77259361 0.43924291 0.43924291 1.79070781 1.75984914 0.43087264 0.43087264 1.85353967 1.74766835 0.42286263 0.42286263 1.91637152 1.73598106 0.41517620 0.41517620 1.97920337 1.72472728 0.40778248 0.40778248 2.04203522 1.71386025 0.40065765 0.40065765 2.10486708 1.70334873 0.39378576 0.39378576 2.16769893 1.69317605 0.38715789 0.38715789 2.23053078 1.68333538 0.38076971 0.38076971 2.29336264 1.67382168 0.37461742 0.37461742 2.35619449 1.66462553 0.36869484 0.36869484 2.41902634 1.65572952 0.36299165 0.36299165 2.48185820 1.64710881 0.35749377 0.35749377 2.54469005 1.63873459 0.35218513 0.35218513 2.60752190 1.63057802 0.34704962 0.34704962 2.67035376 1.62261380 0.34207288 0.34207288 2.73318561 1.61482177 0.33724306 0.33724306 2.79601746 1.60718671 0.33255083 0.33255083 2.85884931 1.59969811 0.32798918 0.32798918 2.92168117 1.59234856 0.32355272 0.32355272 2.98451302 1.58513242 0.31923698 0.31923698 3.04734487 1.57804564 0.31503834 0.31503834 3.11017673 1.57108427 0.31095330 0.31095330 3.17300858 1.56424501 0.30697870 0.30697870 3.23584043 1.55752457 0.30311146 0.30311146 3.29867229 1.55091926 0.29934830 0.29934830 3.36150414 1.54442590 0.29568624 0.29568624 3.42433599 1.53804122 0.29212230 0.29212230 3.48716785 1.53176188 0.28865347 0.28865347 3.54999970 1.52558471 0.28527684 0.28527684 3.61283155 1.51950674 0.28198963 0.28198963 3.67566340 1.51352456 0.27878888 0.27878888 3.73849526 1.50763455 0.27567150 0.27567150 3.80132711 1.50183297 0.27263440 0.27263440 3.86415896 1.49611526 0.26967408 0.26967408 3.92699082 1.49047676 0.26678702 0.26678702 3.98982267 1.48491270 0.26396967 0.26396967 4.05265452 1.47941835 0.26121857 0.26121857 4.11548638 1.47398931 0.25853040 0.25853040 4.17831823 1.46862144 0.25590205 0.25590205 4.24115008 1.46331180 0.25333103 0.25333103 4.30398194 1.45805713 0.25081472 0.25081472 4.36681379 1.45285523 0.24835108 0.24835108 4.42964564 1.44770446 0.24593837 0.24593837 4.49247749 1.44260321 0.24357490 0.24357490 4.55530935 1.43755019 0.24125916 0.24125916 4.61814120 1.43254442 0.23898984 0.23898984 4.68097305 1.42758491 0.23676564 0.23676564 4.74380491 1.42267076 0.23458535 0.23458535 4.80663676 1.41780087 0.23244767 0.23244767 4.86946861 1.41297467 0.23035160 0.23035160 4.93230047 1.40819098 0.22829585 0.22829585 4.99513232 1.40344906 0.22627941 0.22627941 5.05796417 1.39874766 0.22430100 0.22430100 5.12079603 1.39408606 0.22235965 0.22235965 5.18362788 1.38946295 0.22045411 0.22045411 5.24645973 1.38487731 0.21858330 0.21858330 5.30929158 1.38032768 0.21674593 0.21674593 5.37212344 1.37581310 0.21494100 0.21494100 5.43495529 1.37133183 0.21316712 0.21316712 5.49778714 1.36688306 0.21142339 0.21142339 5.56061900 1.36246475 0.20970832 0.20970832 5.62345085 1.35807622 0.20802110 0.20802110 5.68628270 1.35371605 0.20636058 0.20636058 5.74911456 1.34938295 0.20472569 0.20472569 5.81194641 1.34507624 0.20311568 0.20311568 5.87477826 1.34079483 0.20152961 0.20152961 5.93761012 1.33653840 0.19996693 0.19996693 6.00044197 1.33230632 0.19842695 0.19842695 6.06327382 1.32809823 0.19690914 0.19690914 6.12610567 1.32391443 0.19541329 0.19541329 6.18893753 1.31975464 0.19393891 0.19393891 6.25176938 1.31561922 0.19248585 0.19248585 6.31460123 1.31150829 0.19105384 0.19105384 6.37743309 1.30742220 0.18964274 0.18964274 6.44026494 1.30336134 0.18825243 0.18825243 6.50309679 1.29932579 0.18688263 0.18688263 6.56592865 1.29531623 0.18553341 0.18553341 6.62876050 1.29133229 0.18420426 0.18420426 6.69159235 1.28737463 0.18289525 0.18289525 6.75442421 1.28344300 0.18160597 0.18160597 6.81725606 1.27953702 0.18033597 0.18033597 6.88008791 1.27565698 0.17908513 0.17908513 6.94291976 1.27180238 0.17785297 0.17785297 7.00575162 1.26797304 0.17663915 0.17663915 7.06858347 1.26416852 0.17544320 0.17544320 7.13141532 1.26038833 0.17426470 0.17426470 7.19424718 1.25663208 0.17310319 0.17310319 7.25707903 1.25289912 0.17195819 0.17195819 7.31991088 1.24918911 0.17082928 0.17082928 7.38274274 1.24550126 0.16971592 0.16971592 7.44557459 1.24183533 0.16861777 0.16861777 7.50840644 1.23819038 0.16753421 0.16753421 7.57123830 1.23456613 0.16646490 0.16646490 7.63407015 1.23096190 0.16540936 0.16540936 7.69690200 1.22737709 0.16436711 0.16436711 7.75973385 1.22381125 0.16333778 0.16333778 7.82256571 1.22026392 0.16232097 0.16232097 7.88539756 1.21673424 0.16131613 0.16131613 7.94822941 1.21322227 0.16032312 0.16032312 8.01106127 1.20972707 0.15934134 0.15934134 8.07389312 1.20624849 0.15837057 0.15837057 8.13672497 1.20278600 0.15741044 0.15741044 8.19955683 1.19933912 0.15646055 0.15646055 8.26238868 1.19590771 0.15552072 0.15552072 8.32522053 1.19249130 0.15459058 0.15459058 8.38805239 1.18908967 0.15366992 0.15366992 8.45088424 1.18570258 0.15275850 0.15275850 8.51371609 1.18232990 0.15185612 0.15185612 8.57654794 1.17897132 0.15096254 0.15096254 8.63937980 1.17562667 0.15007755 0.15007755 8.70221165 1.17229605 0.14920111 0.14920111 8.76504350 1.16897917 0.14833296 0.14833296 8.82787536 1.16567610 0.14747305 0.14747305 8.89070721 1.16238672 0.14662121 0.14662121 8.95353906 1.15911121 0.14577743 0.14577743 9.01637092 1.15584936 0.14494153 0.14494153 9.07920277 1.15260144 0.14411355 0.14411355 9.14203462 1.14936722 0.14329328 0.14329328 9.20486648 1.14614709 0.14248083 0.14248083 9.26769833 1.14294084 0.14167602 0.14167602 9.33053018 1.13974886 0.14087896 0.14087896 9.39336203 1.13657082 0.14008940 0.14008940 9.45619389 1.13340707 0.13930744 0.13930744 9.58185759 1.12712253 0.13776609 0.13776609 9.70752130 1.12089576 0.13625458 0.13625458 9.83318501 1.11472701 0.13477248 0.13477248 10.02168056 1.10558358 0.13260383 0.13260383 10.14734427 1.09956105 0.13119366 0.13119366 10.27300798 1.09359701 0.12981146 0.12981146 10.39867168 1.08769104 0.12845660 0.12845660 10.58716724 1.07894049 0.12647443 0.12647443 10.71283095 1.07317825 0.12518546 0.12518546 10.83849465 1.06747262 0.12392179 0.12392179 11.02699021 1.05901894 0.12207231 0.12207231 11.15265392 1.05345202 0.12086907 0.12086907 11.34114948 1.04520320 0.11910728 0.11910728 11.46681319 1.03977074 0.11796059 0.11796059 11.65530874 1.03172068 0.11628097 0.11628097 11.78097245 1.02641875 0.11518735 0.11518735 11.96946801 1.01856151 0.11358480 0.11358480 12.15796357 1.01081759 0.11202642 0.11202642 12.28362728 1.00571708 0.11101131 0.11101131 12.47212283 0.99815841 0.10952342 0.10952342 12.66061839 0.99070909 0.10807620 0.10807620 12.84911395 0.98336793 0.10666860 0.10666860 12.97477766 0.97853335 0.10575172 0.10575172 13.16327322 0.97136993 0.10440796 0.10440796 13.35176878 0.96431166 0.10310126 0.10310126 13.54026434 0.95735730 0.10183069 0.10183069 13.72875990 0.95050546 0.10059527 0.10059527 13.91725546 0.94375465 0.09939400 0.09939400 14.10575101 0.93710308 0.09822577 0.09822577 14.35707843 0.92838541 0.09671760 0.09671760 14.54557399 0.92195772 0.09562200 0.09562200 14.73406955 0.91562229 0.09455547 0.09455547 14.92256510 0.90937677 0.09351673 0.09351673 15.17389252 0.90118506 0.09217279 0.09217279 15.36238808 0.89513989 0.09119398 0.09119398 15.55088364 0.88917655 0.09023880 0.09023880 15.80221105 0.88134878 0.08899998 0.08899998 15.99070661 0.87556754 0.08809548 0.08809548 16.24203402 0.86797471 0.08692039 0.08692039 16.49336143 0.86050958 0.08577855 0.08577855 16.68185699 0.85499197 0.08494279 0.08494279 16.93318440 0.84774026 0.08385445 0.08385445 17.18451182 0.84060536 0.08279432 0.08279432 17.37300737 0.83532880 0.08201684 0.08201684 17.62433479 0.82839042 0.08100263 0.08100263 17.87566220 0.82156028 0.08001293 0.08001293 18.12698961 0.81483574 0.07904667 0.07904667 18.37831702 0.80821430 0.07810286 0.07810286 18.62964444 0.80169365 0.07718061 0.07718061 18.88097185 0.79527159 0.07627910 0.07627910 19.19513111 0.78737946 0.07518024 0.07518024 19.44645853 0.78117169 0.07432274 0.07432274 19.69778594 0.77505602 0.07348373 0.07348373 20.01194520 0.76753814 0.07246006 0.07246006 20.26327262 0.76162302 0.07166050 0.07166050 20.57743188 0.75435027 0.07068440 0.07068440 20.82875929 0.74862695 0.06992159 0.06992159 21.14291856 0.74158871 0.06898989 0.06898989 21.45707782 0.73467637 0.06808159 0.06808159 21.70840524 0.72923510 0.06737123 0.06737123 22.02256450 0.72254179 0.06650296 0.06650296 22.33672377 0.71596611 0.06565583 0.06565583 22.65088303 0.70950524 0.06482911 0.06482911 22.96504230 0.70315645 0.06402210 0.06402210 23.27920156 0.69691708 0.06323414 0.06323414 23.59336083 0.69078453 0.06246457 0.06246457 23.97035195 0.68356292 0.06156452 0.06156452 24.28451121 0.67765656 0.06083332 0.06083332 24.59867048 0.67184918 0.06011864 0.06011864 24.97566160 0.66500767 0.05928210 0.05928210 25.28982086 0.65940991 0.05860194 0.05860194 25.66681198 0.65281351 0.05780537 0.05780537 26.04380310 0.64634555 0.05702945 0.05702945 26.35796236 0.64105113 0.05639806 0.05639806 26.73495348 0.63480950 0.05565802 0.05565802 27.11194460 0.62868653 0.05493654 0.05493654 27.48893572 0.62267898 0.05423296 0.05423296 27.86592684 0.61678372 0.05354664 0.05354664 28.30574981 0.61004380 0.05276692 0.05276692 28.68274093 0.60438156 0.05211593 0.05211593 29.05973205 0.59882234 0.05148036 0.05148036 29.49955502 0.59246315 0.05075765 0.05075765 29.87654614 0.58711788 0.05015370 0.05015370 30.31636911 0.58100121 0.04946655 0.04946655 30.75619208 0.57500951 0.04879750 0.04879750 31.19601505 0.56913902 0.04814586 0.04814586 31.57300617 0.56420090 0.04760067 0.04760067 32.07566099 0.55774736 0.04689222 0.04689222 32.51548396 0.55221937 0.04628901 0.04628901 32.95530694 0.54679894 0.04570077 0.04570077 33.39512991 0.54148296 0.04512698 0.04512698 33.89778473 0.53553163 0.04448823 0.04448823 34.33760770 0.53042954 0.04394367 0.04394367 34.84026253 0.52471527 0.04333709 0.04333709 35.34291735 0.51912165 0.04274670 0.04274670 35.78274032 0.51432322 0.04224289 0.04224289 36.28539515 0.50894571 0.04168119 0.04168119 36.78804997 0.50367834 0.04113396 0.04113396 37.35353665 0.49787999 0.04053495 0.04053495 37.85619148 0.49283561 0.04001670 0.04001670 38.35884630 0.48789124 0.03951131 0.03951131 38.92433298 0.48244469 0.03895754 0.03895754 39.48981966 0.47711689 0.03841883 0.03841883 39.99247448 0.47247762 0.03795213 0.03795213 40.55796116 0.46736367 0.03744025 0.03744025 41.12344784 0.46235771 0.03694180 0.03694180 41.68893451 0.45745629 0.03645624 0.03645624 42.31725304 0.45212891 0.03593128 0.03593128 42.88273972 0.44743761 0.03547140 0.03547140 43.51105825 0.44233609 0.03497384 0.03497384 44.07654493 0.43784152 0.03453767 0.03453767 44.70486346 0.43295162 0.03406546 0.03406546 45.33318199 0.42816780 0.03360582 0.03360582 45.96150052 0.42348659 0.03315827 0.03315827 46.58981905 0.41890470 0.03272235 0.03272235 47.28096944 0.41397555 0.03225573 0.03225573 47.90928797 0.40959207 0.03184280 0.03184280 48.60043835 0.40487402 0.03140049 0.03140049 49.29158873 0.40026112 0.03097017 0.03097017 49.98273912 0.39574986 0.03055136 0.03055136 50.67388950 0.39133689 0.03014361 0.03014361 51.36503989 0.38701901 0.02974650 0.02974650 52.11902212 0.38241344 0.02932493 0.02932493 52.81017251 0.37828462 0.02894876 0.02894876 53.56415474 0.37387848 0.02854915 0.02854915 54.31813698 0.36957127 0.02816032 0.02816032 55.07211922 0.36535966 0.02778185 0.02778185 55.82610145 0.36124050 0.02741333 0.02741333 56.64291554 0.35687889 0.02702488 0.02702488 57.39689778 0.35294278 0.02667589 0.02667589 58.21371187 0.34877285 0.02630776 0.02630776 59.03052596 0.34469763 0.02594958 0.02594958 59.84734005 0.34071393 0.02560094 0.02560094 60.72698599 0.33652264 0.02523574 0.02523574 61.54380008 0.33271942 0.02490577 0.02490577 62.42344603 0.32871591 0.02455987 0.02455987 63.30309197 0.32480485 0.02422338 0.02422338 64.18273791 0.32098307 0.02389593 0.02389593 65.06238386 0.31724758 0.02357715 0.02357715 65.94202980 0.31359549 0.02326672 0.02326672 66.88450759 0.30977198 0.02294301 0.02294301 67.82698539 0.30603783 0.02262812 0.02262812 68.76946319 0.30238996 0.02232172 0.02232172 69.71194098 0.29882546 0.02202346 0.02202346 70.71725063 0.29511203 0.02171393 0.02171393 71.72256028 0.29148702 0.02141293 0.02141293 72.72786993 0.28794732 0.02112012 0.02112012 73.73317958 0.28448998 0.02083518 0.02083518 74.73848923 0.28111220 0.02055778 0.02055778 75.80663073 0.27760748 0.02027099 0.02027099 76.87477223 0.27418646 0.01999205 0.01999205 77.94291374 0.27084622 0.01972065 0.01972065 79.01105524 0.26758397 0.01945649 0.01945649 80.14202859 0.26421186 0.01918436 0.01918436 81.27300195 0.26092118 0.01891971 0.01891971 82.40397530 0.25770905 0.01866224 0.01866224 83.53494866 0.25457273 0.01841165 0.01841165 84.72875387 0.25134154 0.01815431 0.01815431 85.92255908 0.24818897 0.01790403 0.01790403 87.11636428 0.24511223 0.01766054 0.01766054 88.31016949 0.24210867 0.01742356 0.01742356 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