# omega total a= 1 L= 2 0.06283185 0.24625984 0.08490185 0.18849556 0.33531610 0.06080234 0.31415927 0.47121262 0.06704376 0.43982297 0.60516049 0.07483475 0.56548668 0.73776707 0.08533272 0.69115038 0.86187722 0.09466184 0.81681409 0.97722924 0.10285953 0.94247780 1.08391115 0.11017327 1.06814150 1.18172680 0.11658896 1.19380521 1.27165938 0.12269618 1.31946891 1.35341753 0.12816857 1.44513262 1.42655812 0.13253695 1.57079633 1.49173362 0.13607945 1.69646003 1.54966265 0.13908417 1.82212374 1.60084749 0.14164492 1.94778745 1.64579021 0.14382086 2.07345115 1.68488754 0.14558368 2.19911486 1.71851942 0.14691210 2.32477856 1.74718739 0.14789691 2.45044227 1.77140854 0.14864835 2.57610598 1.79160770 0.14921276 2.70176968 1.80814177 0.14959658 2.82743339 1.82134794 0.14980694 2.95309709 1.83155576 0.14986272 3.07876080 1.83907681 0.14978724 3.20442451 1.84419229 0.14959859 3.33008821 1.84715028 0.14930667 3.45575192 1.84817311 0.14891785 3.58141563 1.84746667 0.14844074 3.70707933 1.84522451 0.14788792 3.83274304 1.84162663 0.14727376 3.95840674 1.83683623 0.14661100 4.08407045 1.83099790 0.14590876 4.20973416 1.82423788 0.14517199 4.33539786 1.81666652 0.14440276 4.46106157 1.80838159 0.14360190 4.58672527 1.79947138 0.14277079 4.71238898 1.79001653 0.14191185 4.83805269 1.78009109 0.14102869 4.96371639 1.76976266 0.14012551 5.08938010 1.75909263 0.13920671 5.21504380 1.74813639 0.13827654 5.34070751 1.73694341 0.13733865 5.46637122 1.72555773 0.13639619 5.59203492 1.71401837 0.13545177 5.71769863 1.70235963 0.13450734 5.84336234 1.69061175 0.13356446 5.96902604 1.67880135 0.13262430 6.09468975 1.66695196 0.13168787 6.22035345 1.65508433 0.13075591 6.34601716 1.64321675 0.12982902 6.47168087 1.63136536 0.12890761 6.59734457 1.61954423 0.12799187 6.72300828 1.60776561 0.12708178 6.84867198 1.59604002 0.12617705 6.97433569 1.58437659 0.12527737 7.09999940 1.57278308 0.12438222 7.22566310 1.56126625 0.12349116 7.35132681 1.54983185 0.12260374 7.47699052 1.53848500 0.12171972 7.60265422 1.52723020 0.12083901 7.72831793 1.51607144 0.11996168 7.85398163 1.50501236 0.11908803 7.97964534 1.49405616 0.11821846 8.10530905 1.48320579 0.11735359 8.23097275 1.47246375 0.11649402 8.35663646 1.46183215 0.11564030 8.48230016 1.45131279 0.11479308 8.60796387 1.44090708 0.11395291 8.73362758 1.43061585 0.11312005 8.85929128 1.42043974 0.11229485 8.98495499 1.41037910 0.11147758 9.11061870 1.40043375 0.11066821 9.23628240 1.39060337 0.10986678 9.36194611 1.38088736 0.10907316 9.48760981 1.37128508 0.10828735 9.61327352 1.36179551 0.10750908 9.73893723 1.35241772 0.10673828 9.86460093 1.34315057 0.10597473 9.99026464 1.33399300 0.10521837 10.11592834 1.32494379 0.10446906 10.24159205 1.31600173 0.10372670 10.36725576 1.30716561 0.10299123 10.49291946 1.29843412 0.10226255 10.61858317 1.28980608 0.10154070 10.74424688 1.28128011 0.10082557 10.86991058 1.27285507 0.10011726 10.99557429 1.26452953 0.09941565 11.12123799 1.25630229 0.09872084 11.24690170 1.24817202 0.09803282 11.37256541 1.24013740 0.09735158 11.49822911 1.23219719 0.09667718 11.62389282 1.22435007 0.09600962 11.74955652 1.21659476 0.09534892 11.87522023 1.20893008 0.09469521 12.00088394 1.20135460 0.09404835 12.12654764 1.19386725 0.09340852 12.25221135 1.18646666 0.09277564 12.37787506 1.17915162 0.09214974 12.50353876 1.17192093 0.09153085 12.62920247 1.16477329 0.09091890 12.75486617 1.15770755 0.09031395 12.88052988 1.15072252 0.08971597 13.00619359 1.14381694 0.08912489 13.13185729 1.13698972 0.08854077 13.25752100 1.13023958 0.08796345 13.38318470 1.12356541 0.08739296 13.50884841 1.11696595 0.08682914 13.63451212 1.11044017 0.08627201 13.76017582 1.10398678 0.08572139 13.88583953 1.09760476 0.08517727 14.01150324 1.09129290 0.08463950 14.13716694 1.08505014 0.08410800 14.26283065 1.07887520 0.08358253 14.38849435 1.07276719 0.08306313 14.51415806 1.06672482 0.08254952 14.63982177 1.06074714 0.08204166 14.76548547 1.05483300 0.08153934 14.89114918 1.04898152 0.08104256 15.01681288 1.04319143 0.08055100 15.14247659 1.03746196 0.08006471 15.26814030 1.03179198 0.07958345 15.39380400 1.02618058 0.07910715 15.51946771 1.02062690 0.07863576 15.64513141 1.01512992 0.07816907 15.77079512 1.00968882 0.07770707 15.89645883 1.00430272 0.07724965 16.02212253 0.99897076 0.07679670 16.14778624 0.99369217 0.07634821 16.27344995 0.98846609 0.07590405 16.39911365 0.98329184 0.07546424 16.52477736 0.97816862 0.07502869 16.65044106 0.97309566 0.07459734 16.77610477 0.96807227 0.07417014 16.90176848 0.96309781 0.07374714 17.02743218 0.95817148 0.07332816 17.15309589 0.95329268 0.07291326 17.27875959 0.94846079 0.07250242 17.40442330 0.94367509 0.07209555 17.53008701 0.93893500 0.07169266 17.65575071 0.93423988 0.07129369 17.78141442 0.92958912 0.07089862 17.90707813 0.92498212 0.07050741 18.03274183 0.92041827 0.07011999 18.15840554 0.91589700 0.06973637 18.28406924 0.91141774 0.06935648 18.40973295 0.90697986 0.06898024 18.53539666 0.90258292 0.06860770 18.66106036 0.89822620 0.06823868 18.78672407 0.89390930 0.06787324 18.91238777 0.88963160 0.06751126 19.03805148 0.88539264 0.06715277 19.16371519 0.88119179 0.06679761 19.28937889 0.87702857 0.06644577 19.41504260 0.87290254 0.06609723 19.54070631 0.86881319 0.06575195 19.66637001 0.86475994 0.06540979 19.79203372 0.86074240 0.06507079 19.91769742 0.85676006 0.06473485 20.04336113 0.85281240 0.06440188 20.16902484 0.84889910 0.06407196 20.29468854 0.84501955 0.06374489 20.42035225 0.84117349 0.06342079 20.54601595 0.83736033 0.06309946 20.67167966 0.83357976 0.06278097 20.79734337 0.82983131 0.06246523 20.92300707 0.82611462 0.06215224 21.04867078 0.82242926 0.06184193 21.17433449 0.81877485 0.06153429 21.29999819 0.81515102 0.06122927 21.42566190 0.81155742 0.06092687 21.55132560 0.80799364 0.06062704 21.67698931 0.80445933 0.06032974 21.80265302 0.80095420 0.06003500 21.92831672 0.79747781 0.05974271 22.05398043 0.79402992 0.05945294 22.17964413 0.79061013 0.05916560 22.30530784 0.78721815 0.05888071 22.43097155 0.78385364 0.05859822 22.55663525 0.78051630 0.05831813 22.68229896 0.77720583 0.05804041 22.80796267 0.77392189 0.05776504 22.93362637 0.77066422 0.05749202 23.05929008 0.76743251 0.05722131 23.18495378 0.76422647 0.05695291 23.31061749 0.76104581 0.05668679 23.43628120 0.75789024 0.05642291 23.56194490 0.75475952 0.05616131 23.68760861 0.75165332 0.05590191 23.81327231 0.74857145 0.05564476 23.93893602 0.74551356 0.05538977 24.06459973 0.74247943 0.05513696 24.19026343 0.73946880 0.05488631 24.31592714 0.73648143 0.05463782 24.44159084 0.73351703 0.05439143 24.56725455 0.73057536 0.05414714 24.69291826 0.72765621 0.05390496 24.81858196 0.72475930 0.05366483 24.94424567 0.72188440 0.05342675 25.06990938 0.71903128 0.05319070 25.19557308 0.71619971 0.05295665 25.44690049 0.71060027 0.05249453 25.57256420 0.70783194 0.05226639 25.82389161 0.70235699 0.05181589 25.94955532 0.69964993 0.05159349 26.20088273 0.69429554 0.05115427 26.32654644 0.69164779 0.05093741 26.57787385 0.68641018 0.05050911 26.82920126 0.68124839 0.05008788 26.95486497 0.67869542 0.04987986 27.20619238 0.67364438 0.04946892 27.45751979 0.66866526 0.04906464 27.58318350 0.66620221 0.04886494 27.83451091 0.66132821 0.04847035 28.08583832 0.65652248 0.04808201 28.21150203 0.65414478 0.04789014 28.46282944 0.64943886 0.04751090 28.71415685 0.64479781 0.04713754 28.96548427 0.64022032 0.04676994 29.09114797 0.63795502 0.04658825 29.34247538 0.63347048 0.04622898 29.59380280 0.62904641 0.04587513 29.84513021 0.62468156 0.04552653 30.09645762 0.62037480 0.04518307 30.34778503 0.61612502 0.04484463 30.47344874 0.61402115 0.04467726 30.72477615 0.60985475 0.04434614 30.97610356 0.60574265 0.04401978 31.22743098 0.60168376 0.04369802 31.47875839 0.59767712 0.04338080 31.73008580 0.59372174 0.04306803 31.98141321 0.58981667 0.04275959 32.23274063 0.58596098 0.04245539 32.48406804 0.58215376 0.04215535 32.73539545 0.57839412 0.04185937 32.98672286 0.57468121 0.04156739 33.23805027 0.57101418 0.04127931 33.48937769 0.56739221 0.04099507 33.74070510 0.56381450 0.04071457 33.99203251 0.56028026 0.04043775 34.24335992 0.55678873 0.04016455 34.49468734 0.55333916 0.03989488 34.74601475 0.54993082 0.03962868 34.99734216 0.54656300 0.03936589 35.37433328 0.54158571 0.03897796 35.62566069 0.53831617 0.03872341 35.87698810 0.53508476 0.03847205 36.12831552 0.53189085 0.03822382 36.37964293 0.52873381 0.03797867 36.75663405 0.52406603 0.03761659 37.00796146 0.52099849 0.03737889 37.25928887 0.51796572 0.03714408 37.51061628 0.51496714 0.03691210 37.88760740 0.51053217 0.03656935 38.13893481 0.50761666 0.03634425 38.39026223 0.50473344 0.03612182 38.76725335 0.50046802 0.03579307 39.01858076 0.49766327 0.03557711 39.39557188 0.49351323 0.03525787 39.64689929 0.49078388 0.03504812 39.89822670 0.48808387 0.03484077 40.27521782 0.48408784 0.03453417 40.52654523 0.48145917 0.03433267 40.90353635 0.47756809 0.03403466 41.15486376 0.47500804 0.03383877 41.53185488 0.47121792 0.03354901 41.78318229 0.46872390 0.03335850 42.16017341 0.46503097 0.03307665 42.53716453 0.46139460 0.03279941 42.78849194 0.45900116 0.03261708 43.16548306 0.45545628 0.03234725 43.41681047 0.45312270 0.03216977 43.79380159 0.44966598 0.03190709 44.17079271 0.44626062 0.03164855 44.54778383 0.44290550 0.03139407 44.79911124 0.44069613 0.03122662 45.17610236 0.43742237 0.03097870 45.55309348 0.43419604 0.03073459 45.93008460 0.43101613 0.03049421 46.18141201 0.42892150 0.03033598 46.55840313 0.42581682 0.03010164 46.93539424 0.42275602 0.02987080 47.31238536 0.41973819 0.02964341 47.68937648 0.41676246 0.02941937 48.06636760 0.41382797 0.02919863 48.44335872 0.41093387 0.02898110 48.82034984 0.40807936 0.02876673 49.19734096 0.40526364 0.02855544 49.57433207 0.40248594 0.02834717 49.95132319 0.39974551 0.02814186 50.32831431 0.39704161 0.02793944 50.70530543 0.39437352 0.02773986 51.08229655 0.39174056 0.02754306 51.45928767 0.38914205 0.02734898 51.83627878 0.38657732 0.02715756 52.33893361 0.38320911 0.02690640 52.71592473 0.38072072 0.02672100 53.09291585 0.37826402 0.02653809 53.46990696 0.37583842 0.02635763 53.97256179 0.37265167 0.02612073 54.34955291 0.37029641 0.02594579 54.72654403 0.36797037 0.02577314 55.22919885 0.36491352 0.02554642 55.60618997 0.36265362 0.02537893 55.98318109 0.36042120 0.02521360 56.48583591 0.35748657 0.02499642 56.86282703 0.35531640 0.02483594 57.36548185 0.35246305 0.02462510 57.74247297 0.35035259 0.02446927 58.24512780 0.34757723 0.02426449 58.62211892 0.34552408 0.02411310 59.12477374 0.34282357 0.02391413 59.62742857 0.34016451 0.02371837 60.00441968 0.33819685 0.02357362 60.50707451 0.33560806 0.02338329 61.00972933 0.33305821 0.02319598 61.38672045 0.33117084 0.02305743 61.88937528 0.32868704 0.02287521 62.39203010 0.32623986 0.02269581 62.89468492 0.32382848 0.02251917 63.39733975 0.32145215 0.02234522 63.89999457 0.31911010 0.02217391 64.40264940 0.31680160 0.02200517 64.77964052 0.31509182 0.02188027 65.28229534 0.31284035 0.02171590 65.78495017 0.31062052 0.02155396 66.41326870 0.30788924 0.02135485 66.91592352 0.30573823 0.02119817 67.41857835 0.30361680 0.02104374 67.92123317 0.30152434 0.02089152 68.42388800 0.29946026 0.02074146 68.92654282 0.29742399 0.02059353 69.42919764 0.29541498 0.02044766 70.05751618 0.29294123 0.02026818 70.56017100 0.29099160 0.02012682 71.06282582 0.28906751 0.01998741 71.69114435 0.28669758 0.01981580 72.19379918 0.28482919 0.01968061 72.82211771 0.28252737 0.01951416 73.32477253 0.28071229 0.01938299 73.95309107 0.27847570 0.01922147 74.45574589 0.27671171 0.01909416 75.08406442 0.27453763 0.01893736 75.58671925 0.27282259 0.01881374 76.21503778 0.27070844 0.01866145 76.84335631 0.26862653 0.01851158 77.34601113 0.26698371 0.01839340 77.97432966 0.26495800 0.01824775 78.60264819 0.26296253 0.01810437 79.23096672 0.26099664 0.01796322 79.85928525 0.25905968 0.01782422 80.36194008 0.25753051 0.01771456 80.99025861 0.25564404 0.01757934 81.61857714 0.25378477 0.01744616 82.24689567 0.25195212 0.01731497 82.87521420 0.25014553 0.01718572 83.62919644 0.24801124 0.01703312 84.25751497 0.24626006 0.01690800 84.88583350 0.24453322 0.01678469 85.51415203 0.24283023 0.01666315 86.14247056 0.24115060 0.01654335 86.89645280 0.23916520 0.01640182 87.52477133 0.23753529 0.01628571 88.15308986 0.23592726 0.01617122 88.90707210 0.23402590 0.01603592 89.53539063 0.23246448 0.01592488 90.28937286 0.23061783 0.01579364 90.91769139 0.22910104 0.01568590 91.67167363 0.22730679 0.01555852 92.42565587 0.22554020 0.01543318 93.05397440 0.22408870 0.01533026 93.80795664 0.22237116 0.01520853 94.56193887 0.22067954 0.01508872 95.19025740 0.21928922 0.01499029 95.94423964 0.21764359 0.01487386 96.69822188 0.21602227 0.01475921 97.45220411 0.21442473 0.01464630 98.20618635 0.21285044 0.01453510 98.96016859 0.21129890 0.01442557 99.71415082 0.20976963 0.01431767 100.46813306 0.20826215 0.01421136 101.34777900 0.20653035 0.01408930 102.10176124 0.20506852 0.01398633 102.85574348 0.20362706 0.01388484 103.60972572 0.20220556 0.01378481 104.48937166 0.20057180 0.01366990 105.24335390 0.19919214 0.01357292 106.12299984 0.19760612 0.01346148 106.87698208 0.19626648 0.01336741 107.75662802 0.19472615 0.01325930 108.51061025 0.19342481 0.01316801 109.39025620 0.19192822 0.01306307 110.26990214 0.19045442 0.01295979 111.14954808 0.18900289 0.01285812 111.90353032 0.18777607 0.01277223 112.78317626 0.18636459 0.01267346 113.66282221 0.18497399 0.01257620 114.54246815 0.18360382 0.01248041 115.42211409 0.18225364 0.01238607 116.30176004 0.18092300 0.01229313 117.18140598 0.17961149 0.01220158 118.18671563 0.17813552 0.01209859 119.06636157 0.17686364 0.01200989 119.94600751 0.17560965 0.01192248 120.95131716 0.17419793 0.01182411 121.83096311 0.17298102 0.01173936 122.83627276 0.17161074 0.01164398 123.71591870 0.17042929 0.01156177 124.72122835 0.16909867 0.01146923 125.60087429 0.16795116 0.01138946 126.60618394 0.16665850 0.01129963 127.61149359 0.16538542 0.01121121 128.61680324 0.16413149 0.01112415 129.62211289 0.16289627 0.01103843 130.62742254 0.16167937 0.01095402 131.63273219 0.16048036 0.01087089 132.63804183 0.15929887 0.01078900 133.64335148 0.15813451 0.01070834 134.64866113 0.15698692 0.01062887 135.65397078 0.15585573 0.01055057 136.78494414 0.15460233 0.01046384 137.79025379 0.15350486 0.01038793 138.92122714 0.15228854 0.01030384 139.92653679 0.15122332 0.01023023 141.05751015 0.15004248 0.01014865 142.06281980 0.14900810 0.01007722 143.19379315 0.14786121 0.00999806 144.32476651 0.14673171 0.00992012 145.45573986 0.14561921 0.00984338 146.58671322 0.14452332 0.00976783 147.71768657 0.14344369 0.00969341 148.84865993 0.14237994 0.00962013 149.97963328 0.14133175 0.00954794 151.11060664 0.14029876 0.00947682 152.24157999 0.13928065 0.00940675 153.49821705 0.13816649 0.00933010 154.62919041 0.13717876 0.00926217 155.88582747 0.13609761 0.00918784 157.01680083 0.13513893 0.00912196 158.27343789 0.13408934 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