# omega total a= 1 L= 2 0.06283185 0.24797624 0.08262356 0.18849556 0.34105204 0.06155897 0.31415927 0.47936679 0.07011386 0.43982297 0.61892775 0.08198744 0.56548668 0.74799074 0.09106613 0.69115038 0.86806942 0.09856710 0.81681409 0.98162608 0.10634352 0.94247780 1.08661811 0.11319358 1.06814150 1.18393283 0.11976372 1.19380521 1.27284642 0.12559429 1.31946891 1.35331196 0.13056792 1.44513262 1.42577874 0.13482924 1.57079633 1.49050971 0.13837902 1.69646003 1.54793508 0.14129502 1.82212374 1.59859610 0.14368606 1.94778745 1.64303215 0.14564404 2.07345115 1.68174625 0.14723980 2.19911486 1.71520925 0.14853098 2.32477856 1.74385445 0.14955660 2.45044227 1.76807660 0.15033459 2.57610598 1.78826137 0.15088561 2.70176968 1.80478286 0.15123455 2.82743339 1.81798511 0.15139969 2.95309709 1.82818775 0.15139820 3.07876080 1.83569715 0.15125339 3.20442451 1.84080157 0.15098978 3.33008821 1.84376082 0.15062568 3.45575192 1.84480542 0.15017376 3.58141563 1.84414218 0.14964481 3.70707933 1.84195911 0.14904947 3.83274304 1.83842797 0.14839804 3.95840674 1.83370555 0.14770004 4.08407045 1.82793482 0.14696449 4.20973416 1.82124541 0.14619978 4.33539786 1.81375350 0.14541291 4.46106157 1.80556190 0.14460876 4.58672527 1.79676111 0.14379015 4.71238898 1.78743066 0.14295809 4.83805269 1.77764063 0.14211245 4.96371639 1.76745300 0.14125234 5.08938010 1.75692281 0.14037661 5.21504380 1.74609936 0.13948432 5.34070751 1.73502724 0.13857516 5.46637122 1.72374724 0.13764978 5.59203492 1.71229714 0.13671003 5.71769863 1.70071204 0.13575879 5.84336234 1.68902431 0.13479962 5.96902604 1.67726362 0.13383642 6.09468975 1.66545654 0.13287279 6.22035345 1.65362670 0.13191193 6.34601716 1.64179457 0.13095623 6.47168087 1.62997754 0.13000706 6.59734457 1.61819034 0.12906507 6.72300828 1.60644525 0.12813016 6.84867198 1.59475241 0.12720158 6.97433569 1.58312032 0.12627838 7.09999940 1.57155626 0.12535953 7.22566310 1.56006656 0.12444412 7.35132681 1.54865685 0.12353155 7.47699052 1.53733232 0.12262157 7.60265422 1.52609798 0.12171449 7.72831793 1.51495834 0.12081081 7.85398163 1.50391772 0.11991142 7.97964534 1.49298003 0.11901734 8.10530905 1.48214864 0.11812955 8.23097275 1.47142640 0.11724895 8.35663646 1.46081557 0.11637626 8.48230016 1.45031759 0.11551177 8.60796387 1.43993348 0.11465566 8.73362758 1.42966360 0.11380777 8.85929128 1.41950781 0.11296770 8.98495499 1.40946577 0.11213506 9.11061870 1.39953676 0.11130929 9.23628240 1.38971998 0.11048993 9.36194611 1.38001483 0.10967683 9.48760981 1.37042045 0.10886974 9.61327352 1.36093633 0.10806879 9.73893723 1.35156186 0.10727418 9.86460093 1.34229665 0.10648636 9.99026464 1.33314045 0.10570596 10.11592834 1.32409269 0.10493340 10.24159205 1.31515334 0.10416966 10.36725576 1.30632158 0.10341502 10.49291946 1.29759694 0.10267010 10.61858317 1.28897859 0.10193527 10.74424688 1.28046555 0.10121076 10.86991058 1.27205668 0.10049664 10.99557429 1.26375059 0.09979283 11.12123799 1.25554587 0.09909920 11.24690170 1.24744076 0.09841530 11.37256541 1.23943368 0.09774089 11.49822911 1.23152273 0.09707539 11.62389282 1.22370616 0.09641840 11.74955652 1.21598220 0.09576945 11.87522023 1.20834907 0.09512809 12.00088394 1.20080505 0.09449391 12.12654764 1.19334856 0.09386660 12.25221135 1.18597789 0.09324576 12.37787506 1.17869170 0.09263126 12.50353876 1.17148845 0.09202282 12.62920247 1.16436683 0.09142035 12.75486617 1.15732548 0.09082370 12.88052988 1.15036311 0.09023275 13.00619359 1.14347856 0.08964750 13.13185729 1.13667060 0.08906788 13.25752100 1.12993804 0.08849383 13.38318470 1.12327976 0.08792532 13.50884841 1.11669464 0.08736233 13.63451212 1.11018148 0.08680475 13.76017582 1.10373934 0.08625267 13.88583953 1.09736697 0.08570590 14.01150324 1.09106346 0.08516454 14.13716694 1.08482768 0.08462847 14.26283065 1.07865865 0.08409768 14.38849435 1.07255531 0.08357208 14.51415806 1.06651684 0.08305179 14.63982177 1.06054218 0.08253668 14.76548547 1.05463041 0.08202675 14.89114918 1.04878069 0.08152203 15.01681288 1.04299206 0.08102245 15.14247659 1.03726371 0.08052806 15.26814030 1.03159470 0.08003876 15.39380400 1.02598434 0.07955467 15.51946771 1.02043168 0.07907567 15.64513141 1.01493595 0.07860179 15.77079512 1.00949646 0.07813308 15.89645883 1.00411225 0.07766939 16.02212253 0.99878260 0.07721073 16.14778624 0.99350673 0.07675705 16.27344995 0.98828388 0.07630833 16.39911365 0.98311322 0.07586445 16.52477736 0.97799405 0.07542541 16.65044106 0.97292555 0.07499107 16.77610477 0.96790702 0.07456141 16.90176848 0.96293771 0.07413632 17.02743218 0.95801686 0.07371572 17.15309589 0.95314375 0.07329950 17.27875959 0.94831768 0.07288761 17.40442330 0.94353793 0.07247992 17.53008701 0.93880385 0.07207639 17.65575071 0.93411474 0.07167691 17.78141442 0.92946992 0.07128136 17.90707813 0.92486880 0.07088975 18.03274183 0.92031067 0.07050190 18.15840554 0.91579499 0.07011781 18.28406924 0.91132109 0.06973736 18.40973295 0.90688846 0.06936057 18.53539666 0.90249645 0.06898728 18.66106036 0.89814451 0.06861747 18.78672407 0.89383214 0.06825111 18.91238777 0.88955876 0.06788813 19.03805148 0.88532386 0.06752847 19.16371519 0.88112698 0.06717214 19.28937889 0.87696753 0.06681904 19.41504260 0.87284504 0.06646912 19.54070631 0.86875904 0.06612236 19.66637001 0.86470903 0.06577870 19.79203372 0.86069461 0.06543816 19.91769742 0.85671528 0.06510066 20.04336113 0.85277061 0.06476619 20.16902484 0.84886014 0.06443468 20.29468854 0.84498344 0.06410611 20.42035225 0.84114013 0.06378048 20.54601595 0.83732969 0.06345767 20.67167966 0.83355180 0.06313773 20.79734337 0.82980601 0.06282057 20.92300707 0.82609193 0.06250617 21.04867078 0.82240917 0.06219451 21.17433449 0.81875732 0.06188554 21.29999819 0.81513601 0.06157921 21.42566190 0.81154487 0.06127551 21.55132560 0.80798353 0.06097441 21.67698931 0.80445159 0.06067584 21.80265302 0.80094875 0.06037980 21.92831672 0.79747463 0.06008626 22.05398043 0.79402886 0.05979514 22.17964413 0.79061116 0.05950648 22.30530784 0.78722114 0.05922021 22.43097155 0.78385852 0.05893632 22.55663525 0.78052293 0.05865476 22.68229896 0.77721410 0.05837553 22.80796267 0.77393167 0.05809858 22.93362637 0.77067541 0.05782392 23.05929008 0.76744496 0.05755150 23.18495378 0.76424006 0.05728132 23.31061749 0.76106040 0.05701335 23.43628120 0.75790571 0.05674756 23.56194490 0.75477576 0.05648398 23.68760861 0.75167017 0.05622252 23.81327231 0.74858880 0.05596324 23.93893602 0.74553129 0.05570607 24.06459973 0.74249742 0.05545101 24.19026343 0.73948698 0.05519808 24.31592714 0.73649962 0.05494720 24.44159084 0.73353520 0.05469844 24.56725455 0.73059338 0.05445170 24.69291826 0.72767402 0.05420704 24.81858196 0.72477680 0.05396438 24.94424567 0.72190156 0.05372379 25.06990938 0.71904801 0.05348517 25.19557308 0.71621595 0.05324856 25.44690049 0.71061541 0.05278128 25.57256420 0.70784648 0.05255056 25.82389161 0.70237026 0.05209496 25.94955532 0.69966253 0.05187001 26.20088273 0.69430680 0.05142580 26.32654644 0.69165838 0.05120648 26.57787385 0.68641943 0.05077334 26.82920126 0.68125632 0.05034741 26.95486497 0.67870273 0.05013711 27.20619238 0.67365050 0.04972173 27.45751979 0.66867030 0.04931319 27.58318350 0.66620674 0.04911143 27.83451091 0.66133180 0.04871284 28.08583832 0.65652528 0.04832072 28.21150203 0.65414718 0.04812699 28.46282944 0.64944064 0.04774424 28.71415685 0.64479906 0.04736753 28.96548427 0.64022111 0.04699671 29.09114797 0.63795560 0.04681346 29.34247538 0.63347077 0.04645121 29.59380280 0.62904646 0.04609452 29.84513021 0.62468148 0.04574321 30.09645762 0.62037466 0.04539717 30.34778503 0.61612487 0.04505627 30.47344874 0.61402100 0.04488770 30.72477615 0.60985468 0.04455427 30.97610356 0.60574268 0.04422567 31.22743098 0.60168395 0.04390179 31.47875839 0.59767749 0.04358251 31.73008580 0.59372231 0.04326774 31.98141321 0.58981747 0.04295738 32.23274063 0.58596201 0.04265132 32.48406804 0.58215504 0.04234947 32.73539545 0.57839567 0.04205174 32.98672286 0.57468302 0.04175805 33.23805027 0.57101627 0.04146832 33.48937769 0.56739457 0.04118245 33.74070510 0.56381713 0.04090038 33.99203251 0.56028317 0.04062202 34.24335992 0.55679191 0.04034730 34.49468734 0.55334260 0.04007615 34.74601475 0.54993453 0.03980851 34.99734216 0.54656696 0.03954430 35.37433328 0.54159005 0.03915429 35.62566069 0.53832074 0.03889839 35.87698810 0.53508957 0.03864570 36.12831552 0.53189589 0.03839617 36.37964293 0.52873907 0.03814974 36.75663405 0.52407160 0.03778577 37.00796146 0.52100427 0.03754684 37.25928887 0.51797169 0.03731082 37.51061628 0.51497330 0.03707765 37.88760740 0.51053860 0.03673314 38.13893481 0.50762326 0.03650690 38.39026223 0.50474020 0.03628334 38.76725335 0.50047501 0.03595293 39.01858076 0.49767042 0.03573589 39.39557188 0.49352058 0.03541504 39.64689929 0.49079137 0.03520424 39.89822670 0.48809148 0.03499585 40.27521782 0.48409563 0.03468773 40.52654523 0.48146707 0.03448523 40.90353635 0.47757616 0.03418575 41.15486376 0.47501621 0.03398890 41.53185488 0.47122624 0.03369771 41.78318229 0.46873231 0.03350627 42.16017341 0.46503950 0.03322304 42.53716453 0.46140325 0.03294444 42.78849194 0.45900988 0.03276122 43.16548306 0.45546510 0.03249009 43.41681047 0.45313159 0.03231175 43.79380159 0.44967496 0.03204780 44.17079271 0.44626968 0.03178801 44.54778383 0.44291463 0.03153231 44.79911124 0.44070532 0.03136406 45.17610236 0.43743162 0.03111495 45.55309348 0.43420534 0.03086967 45.93008460 0.43102549 0.03062814 46.18141201 0.42893089 0.03046917 46.55840313 0.42582625 0.03023371 46.93539424 0.42276549 0.03000178 47.31238536 0.41974770 0.02977331 47.68937648 0.41677200 0.02954821 48.06636760 0.41383753 0.02932643 48.44335872 0.41094345 0.02910788 48.82034984 0.40808896 0.02889250 49.19734096 0.40527325 0.02868022 49.57433207 0.40249556 0.02847098 49.95132319 0.39975513 0.02826471 50.32831431 0.39705123 0.02806135 50.70530543 0.39438315 0.02786084 51.08229655 0.39175018 0.02766312 51.45928767 0.38915166 0.02746814 51.83627878 0.38658692 0.02727584 52.33893361 0.38321869 0.02702351 52.71592473 0.38073029 0.02683725 53.09291585 0.37827358 0.02665350 53.46990696 0.37584796 0.02647221 53.97256179 0.37266118 0.02623422 54.34955291 0.37030590 0.02605848 54.72654403 0.36797983 0.02588503 55.22919885 0.36492295 0.02565727 55.60618997 0.36266302 0.02548902 55.98318109 0.36043057 0.02532293 56.48583591 0.35749589 0.02510477 56.86282703 0.35532570 0.02494355 57.36548185 0.35247230 0.02473175 57.74247297 0.35036181 0.02457521 58.24512780 0.34758639 0.02436950 58.62211892 0.34553320 0.02421743 59.12477374 0.34283265 0.02401756 59.62742857 0.34017354 0.02382091 60.00441968 0.33820583 0.02367550 60.50707451 0.33561699 0.02348432 61.00972933 0.33306708 0.02329616 61.38672045 0.33117967 0.02315698 61.88937528 0.32869582 0.02297394 62.39203010 0.32624857 0.02279374 62.89468492 0.32383714 0.02261630 63.39733975 0.32146074 0.02244157 63.89999457 0.31911863 0.02226949 64.40264940 0.31681007 0.02210000 64.77964052 0.31510025 0.02197454 65.28229534 0.31284871 0.02180944 65.78495017 0.31062882 0.02164677 66.41326870 0.30789746 0.02144678 66.91592352 0.30574639 0.02128939 67.41857835 0.30362490 0.02113428 67.92123317 0.30153237 0.02098138 68.42388800 0.29946823 0.02083066 68.92654282 0.29743190 0.02068206 69.42919764 0.29542282 0.02053555 70.05751618 0.29294899 0.02035527 70.56017100 0.29099929 0.02021329 71.06282582 0.28907514 0.02007325 71.69114435 0.28670513 0.01990089 72.19379918 0.28483668 0.01976509 72.82211771 0.28253478 0.01959791 73.32477253 0.28071964 0.01946617 73.95309107 0.27848297 0.01930393 74.45574589 0.27671892 0.01917606 75.08406442 0.27454476 0.01901857 75.58671925 0.27282966 0.01889440 76.21503778 0.27071543 0.01874144 76.84335631 0.26863344 0.01859091 77.34601113 0.26699057 0.01847221 77.97432966 0.26496478 0.01832592 78.60264819 0.26296923 0.01818192 79.23096672 0.26100327 0.01804014 79.85928525 0.25906624 0.01790054 80.36194008 0.25753701 0.01779039 80.99025861 0.25565046 0.01765458 81.61857714 0.25379112 0.01752082 82.24689567 0.25195840 0.01738905 82.87521420 0.25015174 0.01725923 83.62919644 0.24801737 0.01710597 84.25751497 0.24626611 0.01698030 84.88583350 0.24453921 0.01685645 85.51415203 0.24283615 0.01673438 86.14247056 0.24115645 0.01661406 86.89645280 0.23917097 0.01647192 87.52477133 0.23754100 0.01635530 88.15308986 0.23593291 0.01624031 88.90707210 0.23403146 0.01610442 89.53539063 0.23246998 0.01599290 90.28937286 0.23062326 0.01586108 90.91769139 0.22910640 0.01575287 91.67167363 0.22731208 0.01562494 92.42565587 0.22554541 0.01549906 93.05397440 0.22409386 0.01539569 93.80795664 0.22237625 0.01527344 94.56193887 0.22068455 0.01515310 95.19025740 0.21929418 0.01505425 95.94423964 0.21764848 0.01493731 96.69822188 0.21602710 0.01482216 97.45220411 0.21442948 0.01470877 98.20618635 0.21285513 0.01459709 98.96016859 0.21130353 0.01448708 99.71415082 0.20977420 0.01437871 100.46813306 0.20826665 0.01427194 101.34777900 0.20653478 0.01414935 102.10176124 0.20507289 0.01404593 102.85574348 0.20363137 0.01394401 103.60972572 0.20220981 0.01384354 104.48937166 0.20057599 0.01372814 105.24335390 0.19919627 0.01363074 106.12299984 0.19761019 0.01351883 106.87698208 0.19627049 0.01342435 107.75662802 0.19473009 0.01331577 108.51061025 0.19342871 0.01322409 109.39025620 0.19193205 0.01311870 110.26990214 0.19045819 0.01301497 111.14954808 0.18900660 0.01291286 111.90353032 0.18777973 0.01282660 112.78317626 0.18636820 0.01272740 113.66282221 0.18497755 0.01262972 114.54246815 0.18360732 0.01253352 115.42211409 0.18225708 0.01243877 116.30176004 0.18092639 0.01234544 117.18140598 0.17961483 0.01225349 118.18671563 0.17813880 0.01215006 119.06636157 0.17686687 0.01206098 119.94600751 0.17561283 0.01197319 120.95131716 0.17420106 0.01187440 121.83096311 0.17298410 0.01178929 122.83627276 0.17161377 0.01169349 123.71591870 0.17043227 0.01161094 124.72122835 0.16910160 0.01151799 125.60087429 0.16795405 0.01143788 126.60618394 0.16666133 0.01134767 127.61149359 0.16538821 0.01125887 128.61680324 0.16413423 0.01117144 129.62211289 0.16289897 0.01108535 130.62742254 0.16168202 0.01100058 131.63273219 0.16048297 0.01091709 132.63804183 0.15930144 0.01083485 133.64335148 0.15813703 0.01075384 134.64866113 0.15698940 0.01067403 135.65397078 0.15585817 0.01059539 136.78494414 0.15460472 0.01050830 137.79025379 0.15350721 0.01043207 138.92122714 0.15229085 0.01034761 139.92653679 0.15122559 0.01027368 141.05751015 0.15004471 0.01019176 142.06281980 0.14901030 0.01012002 143.19379315 0.14786337 0.01004052 144.32476651 0.14673383 0.00996225 145.45573986 0.14562129 0.00988519 146.58671322 0.14452537 0.00980930 147.71768657 0.14344569 0.00973457 148.84865993 0.14238192 0.00966097 149.97963328 0.14133368 0.00958847 151.11060664 0.14030066 0.00951705 152.24157999 0.13928252 0.00944668 153.49821705 0.13816832 0.00936970 154.62919041 0.13718056 0.00930149 155.88582747 0.13609937 0.00922684 157.01680083 0.13514067 0.00916067 158.27343789 0.13409105 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