# omega total a= 1 L= 2 0.06283185 1.08520847 0.78997272 0.18849556 0.98162209 0.68566395 0.31415927 0.89431888 0.59891644 0.43982297 0.83349812 0.53339912 0.56548668 0.79256250 0.48357221 0.69115038 0.76417089 0.44377081 0.81681409 0.74563813 0.41202805 0.94247780 0.73440036 0.38644584 1.06814150 0.72822373 0.36539343 1.19380521 0.72551642 0.34771306 1.31946891 0.72526101 0.33266216 1.44513262 0.72673218 0.31970274 1.57079633 0.72935900 0.30840237 1.69646003 0.73269546 0.29841543 1.82212374 0.73642384 0.28948735 1.94778745 0.74033222 0.28143844 2.07345115 0.74426884 0.27413037 2.19911486 0.74811067 0.26744353 2.32477856 0.75175504 0.26127174 2.45044227 0.75512204 0.25552494 2.57610598 0.75815796 0.25013263 2.70176968 0.76083471 0.24504391 2.82743339 0.76314432 0.24022343 2.95309709 0.76509121 0.23564558 3.07876080 0.76668580 0.23128958 3.20442451 0.76793964 0.22713599 3.33008821 0.76886499 0.22316676 3.45575192 0.76947418 0.21936493 3.58141563 0.76978104 0.21571604 3.70707933 0.76980077 0.21220805 3.83274304 0.76954908 0.20883060 3.95840674 0.76904210 0.20557493 4.08407045 0.76829512 0.20243273 4.20973416 0.76732346 0.19939683 4.33539786 0.76614134 0.19646019 4.46106157 0.76476290 0.19361671 4.58672527 0.76320135 0.19086054 4.71238898 0.76146949 0.18818642 4.83805269 0.75957911 0.18558923 4.96371639 0.75754178 0.18306456 5.08938010 0.75536799 0.18060799 5.21504380 0.75306790 0.17821564 5.34070751 0.75065123 0.17588405 5.46637122 0.74812713 0.17361002 5.59203492 0.74550473 0.17139102 5.71769863 0.74279252 0.16922463 5.84336234 0.73999903 0.16710907 5.96902604 0.73713210 0.16504259 6.09468975 0.73419921 0.16302361 6.22035345 0.73120753 0.16105085 6.34601716 0.72816342 0.15912279 6.47168087 0.72507292 0.15723807 6.59734457 0.72194145 0.15539530 6.72300828 0.71877364 0.15359270 6.84867198 0.71557390 0.15182876 6.97433569 0.71234601 0.15010173 7.09999940 0.70909331 0.14840983 7.22566310 0.70581903 0.14675147 7.35132681 0.70252573 0.14512480 7.47699052 0.69921619 0.14352841 7.60265422 0.69589294 0.14196095 7.72831793 0.69255826 0.14042105 7.85398163 0.68921448 0.13890764 7.97964534 0.68586379 0.13741972 8.10530905 0.68250862 0.13595668 8.23097275 0.67915097 0.13451775 8.35663646 0.67579306 0.13310247 8.48230016 0.67243687 0.13171037 8.60796387 0.66908450 0.13034122 8.73362758 0.66573780 0.12899468 8.85929128 0.66239855 0.12767052 8.98495499 0.65906854 0.12636859 9.11061870 0.65574927 0.12508863 9.23628240 0.65244222 0.12383046 9.36194611 0.64914874 0.12259387 9.48760981 0.64587001 0.12137862 9.61327352 0.64260716 0.12018448 9.73893723 0.63936111 0.11901113 9.86460093 0.63613278 0.11785834 9.99026464 0.63292285 0.11672571 10.11592834 0.62973208 0.11561299 10.24159205 0.62656099 0.11451978 10.36725576 0.62341010 0.11344575 10.49291946 0.62027979 0.11239049 10.61858317 0.61717042 0.11135361 10.74424688 0.61408233 0.11033478 10.86991058 0.61101574 0.10933358 10.99557429 0.60797082 0.10834960 11.12123799 0.60494773 0.10738247 11.24690170 0.60194655 0.10643176 11.37256541 0.59896739 0.10549714 11.49822911 0.59601035 0.10457825 11.62389282 0.59307533 0.10367462 11.74955652 0.59016245 0.10278602 11.87522023 0.58727161 0.10191199 12.00088394 0.58440275 0.10105220 12.12654764 0.58155592 0.10020638 12.25221135 0.57873092 0.09937410 12.37787506 0.57592779 0.09855514 12.50353876 0.57314634 0.09774912 12.62920247 0.57038651 0.09695577 12.75486617 0.56764819 0.09617479 12.88052988 0.56493120 0.09540585 13.00619359 0.56223554 0.09464879 13.13185729 0.55956091 0.09390319 13.25752100 0.55690732 0.09316892 13.38318470 0.55427450 0.09244562 13.50884841 0.55166242 0.09173315 13.63451212 0.54907088 0.09103122 13.76017582 0.54649966 0.09033955 13.88583953 0.54394873 0.08965803 14.01150324 0.54141781 0.08898633 14.13716694 0.53890685 0.08832434 14.26283065 0.53641558 0.08767175 14.38849435 0.53394392 0.08702845 14.51415806 0.53149165 0.08639419 14.63982177 0.52905865 0.08576884 14.76548547 0.52664470 0.08515213 14.89114918 0.52424970 0.08454398 15.01681288 0.52187342 0.08394415 15.14247659 0.51951572 0.08335250 15.26814030 0.51717645 0.08276888 15.39380400 0.51485539 0.08219307 15.51946771 0.51255244 0.08162499 15.64513141 0.51026742 0.08106447 15.77079512 0.50800011 0.08051133 15.89645883 0.50575039 0.07996545 16.02212253 0.50351811 0.07942670 16.14778624 0.50130308 0.07889494 16.27344995 0.49910513 0.07837002 16.39911365 0.49692413 0.07785184 16.52477736 0.49475990 0.07734026 16.65044106 0.49261228 0.07683516 16.77610477 0.49048111 0.07633641 16.90176848 0.48836625 0.07584392 17.02743218 0.48626753 0.07535755 17.15309589 0.48418481 0.07487722 17.27875959 0.48211792 0.07440279 17.40442330 0.48006671 0.07393417 17.53008701 0.47803104 0.07347127 17.65575071 0.47601076 0.07301397 17.78141442 0.47400571 0.07256218 17.90707813 0.47201575 0.07211580 18.03274183 0.47004074 0.07167475 18.15840554 0.46808053 0.07123893 18.28406924 0.46613499 0.07080825 18.40973295 0.46420395 0.07038262 18.53539666 0.46228730 0.06996196 18.66106036 0.46038488 0.06954619 18.78672407 0.45849657 0.06913522 18.91238777 0.45662222 0.06872898 19.03805148 0.45476170 0.06832738 19.16371519 0.45291488 0.06793035 19.28937889 0.45108162 0.06753782 19.41504260 0.44926179 0.06714971 19.54070631 0.44745527 0.06676595 19.66637001 0.44566193 0.06638646 19.79203372 0.44388163 0.06601119 19.91769742 0.44211425 0.06564006 20.04336113 0.44035967 0.06527300 20.16902484 0.43861776 0.06490996 20.29468854 0.43688841 0.06455087 20.42035225 0.43517149 0.06419566 20.54601595 0.43346687 0.06384427 20.67167966 0.43177445 0.06349665 20.79734337 0.43009410 0.06315273 20.92300707 0.42842572 0.06281246 21.04867078 0.42676917 0.06247579 21.17433449 0.42512436 0.06214264 21.29999819 0.42349116 0.06181298 21.42566190 0.42186947 0.06148675 21.55132560 0.42025918 0.06116389 21.67698931 0.41866017 0.06084435 21.80265302 0.41707234 0.06052809 21.92831672 0.41549559 0.06021505 22.05398043 0.41392980 0.05990518 22.17964413 0.41237487 0.05959845 22.30530784 0.41083071 0.05929479 22.43097155 0.40929720 0.05899417 22.55663525 0.40777425 0.05869654 22.68229896 0.40626175 0.05840186 22.80796267 0.40475961 0.05811007 22.93362637 0.40326773 0.05782115 23.05929008 0.40178602 0.05753504 23.18495378 0.40031437 0.05725171 23.31061749 0.39885270 0.05697112 23.43628120 0.39740090 0.05669322 23.56194490 0.39595889 0.05641799 23.68760861 0.39452658 0.05614537 23.81327231 0.39310387 0.05587534 23.93893602 0.39169067 0.05560785 24.06459973 0.39028691 0.05534287 24.19026343 0.38889248 0.05508037 24.31592714 0.38750731 0.05482030 24.44159084 0.38613130 0.05456265 24.56725455 0.38476438 0.05430736 24.69291826 0.38340645 0.05405442 24.81858196 0.38205744 0.05380378 24.94424567 0.38071727 0.05355542 25.06990938 0.37938585 0.05330930 25.19557308 0.37806311 0.05306540 25.32123679 0.37674896 0.05282368 25.44690049 0.37544333 0.05258412 25.57256420 0.37414614 0.05234668 25.69822791 0.37285731 0.05211134 25.82389161 0.37157677 0.05187807 25.94955532 0.37030444 0.05164684 26.07521902 0.36904026 0.05141763 26.20088273 0.36778413 0.05119040 26.32654644 0.36653601 0.05096514 26.45221014 0.36529580 0.05074182 26.57787385 0.36406345 0.05052041 26.70353756 0.36283888 0.05030089 26.82920126 0.36162202 0.05008323 26.95486497 0.36041281 0.04986741 27.20619238 0.35801704 0.04944119 27.33185609 0.35683036 0.04923075 27.45751979 0.35565106 0.04902206 27.58318350 0.35447907 0.04881510 27.70884720 0.35331433 0.04860984 27.83451091 0.35215678 0.04840626 27.96017462 0.35100636 0.04820435 28.08583832 0.34986299 0.04800409 28.21150203 0.34872663 0.04780544 28.46282944 0.34647467 0.04741294 28.58849315 0.34535895 0.04721905 28.71415685 0.34425000 0.04702671 28.83982056 0.34314775 0.04683589 28.96548427 0.34205215 0.04664658 29.09114797 0.34096314 0.04645877 29.34247538 0.33880467 0.04608754 29.46813909 0.33773510 0.04590410 29.59380280 0.33667191 0.04572208 29.71946650 0.33561502 0.04554147 29.84513021 0.33456441 0.04536224 30.09645762 0.33248176 0.04500791 30.22212133 0.33144962 0.04483276 30.34778503 0.33042354 0.04465895 30.47344874 0.32940346 0.04448644 30.59911245 0.32838934 0.04431524 30.85043986 0.32637878 0.04397667 30.97610356 0.32538223 0.04380928 31.10176727 0.32439145 0.04364312 31.22743098 0.32340638 0.04347820 31.47875839 0.32145321 0.04315198 31.60442210 0.32048500 0.04299066 31.73008580 0.31952233 0.04283052 31.85574951 0.31856515 0.04267154 32.10707692 0.31666705 0.04235702 32.23274063 0.31572605 0.04220145 32.35840433 0.31479037 0.04204700 32.60973174 0.31293475 0.04174139 32.73539545 0.31201474 0.04159021 32.86105916 0.31109987 0.04144009 33.11238657 0.30928539 0.04114303 33.23805027 0.30838570 0.04099605 33.36371398 0.30749098 0.04085010 33.61504139 0.30571634 0.04056123 33.74070510 0.30483634 0.04041829 33.86636881 0.30396116 0.04027633 34.11769622 0.30222511 0.03999532 34.24335992 0.30136418 0.03985625 34.36902363 0.30050792 0.03971812 34.62035104 0.29880928 0.03944466 34.74601475 0.29796683 0.03930931 34.99734216 0.29629549 0.03904132 35.12300587 0.29546653 0.03890866 35.24866957 0.29464200 0.03877689 35.49999699 0.29300609 0.03851594 35.62566069 0.29219464 0.03838675 35.87698810 0.29058459 0.03813091 36.00265181 0.28978592 0.03800423 36.25397922 0.28820115 0.03775335 36.37964293 0.28741498 0.03762912 36.63097034 0.28585491 0.03738305 36.75663405 0.28508096 0.03726119 36.88229775 0.28431101 0.03714011 37.13362517 0.28278303 0.03690025 37.25928887 0.28202494 0.03678146 37.51061628 0.28052041 0.03654611 37.63627999 0.27977391 0.03642954 37.88760740 0.27829230 0.03619858 38.13893481 0.27682570 0.03597047 38.26459852 0.27609796 0.03585747 38.51592593 0.27465345 0.03563356 38.64158964 0.27393663 0.03552262 38.89291705 0.27251374 0.03530278 39.01858076 0.27180762 0.03519385 39.26990817 0.27040588 0.03497798 39.39557188 0.26971022 0.03487101 39.64689929 0.26832917 0.03465899 39.89822670 0.26696168 0.03444950 40.02389041 0.26628296 0.03434568 40.27521782 0.26493544 0.03413987 40.40088153 0.26426659 0.03403788 40.65220894 0.26293862 0.03383568 40.90353635 0.26162344 0.03363582 41.02920006 0.26097060 0.03353676 41.28052747 0.25967430 0.03334035 41.53185488 0.25839036 0.03314619 41.65751859 0.25775297 0.03304995 41.90884600 0.25648724 0.03285909 42.16017341 0.25523346 0.03267040 42.28583712 0.25461100 0.03257684 42.53716453 0.25337481 0.03239131 42.78849194 0.25215017 0.03220785 43.03981935 0.25093690 0.03202643 43.16548306 0.25033449 0.03193646 43.41681047 0.24913800 0.03175803 43.66813788 0.24795251 0.03158154 43.91946530 0.24677787 0.03140698 44.04512900 0.24619458 0.03132041 44.29645642 0.24503595 0.03114867 44.54778383 0.24388781 0.03097878 44.79911124 0.24275003 0.03081070 44.92477495 0.24218498 0.03072734 45.17610236 0.24106248 0.03056193 45.42742977 0.23995000 0.03039827 45.67875718 0.23884741 0.03023633 45.93008460 0.23775458 0.03007609 46.18141201 0.23667138 0.02991751 46.30707571 0.23613336 0.02983883 46.55840313 0.23506438 0.02968270 46.80973054 0.23400473 0.02952818 47.06105795 0.23295429 0.02937523 47.31238536 0.23191294 0.02922384 47.56371278 0.23088057 0.02907398 47.81504019 0.22985706 0.02892563 48.06636760 0.22884231 0.02877877 48.31769501 0.22783620 0.02863337 48.56902242 0.22683862 0.02848941 48.82034984 0.22584947 0.02834688 49.07167725 0.22486865 0.02820575 49.32300466 0.22389605 0.02806600 49.57433207 0.22293157 0.02792761 49.82565949 0.22197512 0.02779056 50.07698690 0.22102658 0.02765484 50.32831431 0.22008588 0.02752042 50.57964172 0.21915291 0.02738728 50.83096914 0.21822758 0.02725541 51.08229655 0.21730980 0.02712479 51.33362396 0.21639947 0.02699540 51.58495137 0.21549652 0.02686723 51.83627878 0.21460084 0.02674025 52.08760620 0.21371237 0.02661446 52.33893361 0.21283100 0.02648983 52.59026102 0.21195666 0.02636634 52.84158843 0.21108926 0.02624400 53.09291585 0.21022873 0.02612277 53.46990696 0.20895063 0.02594298 53.72123438 0.20810691 0.02582448 53.97256179 0.20726979 0.02570705 54.22388920 0.20643917 0.02559067 54.47521661 0.20561500 0.02547532 54.72654403 0.20479719 0.02536100 55.10353514 0.20358226 0.02519142 55.35486256 0.20278006 0.02507960 55.60618997 0.20198398 0.02496876 55.85751738 0.20119394 0.02485889 56.23450850 0.20002008 0.02469586 56.48583591 0.19924488 0.02458835 56.73716332 0.19847549 0.02448176 56.98849074 0.19771186 0.02437608 57.36548185 0.19657706 0.02421925 57.61680927 0.19582753 0.02411580 57.86813668 0.19508354 0.02401322 58.24512780 0.19397780 0.02386096 58.49645521 0.19324739 0.02376052 58.74778262 0.19252231 0.02366091 59.12477374 0.19144456 0.02351303 59.37610115 0.19073255 0.02341546 59.75309227 0.18967414 0.02327060 60.00441968 0.18897486 0.02317501 60.25574710 0.18828058 0.02308020 60.63273821 0.18724841 0.02293941 60.88406563 0.18656640 0.02284649 61.26105675 0.18555239 0.02270851 61.51238416 0.18488232 0.02261743 61.88937528 0.18388600 0.02248217 62.14070269 0.18322758 0.02239288 62.51769381 0.18224850 0.02226026 62.76902122 0.18160141 0.02217271 63.14601234 0.18063913 0.02204266 63.39733975 0.18000311 0.02195679 63.77433087 0.17905721 0.02182923 64.02565828 0.17843197 0.02174501 64.40264940 0.17750204 0.02161987 64.77964052 0.17658150 0.02149615 65.03096793 0.17597296 0.02141445 65.40795905 0.17506776 0.02129305 65.65928646 0.17446932 0.02121288 66.03627758 0.17357909 0.02109373 66.41326870 0.17269767 0.02097590 66.66459611 0.17211489 0.02089807 67.04158723 0.17124786 0.02078240 67.41857835 0.17038930 0.02066799 67.66990576 0.16982158 0.02059241 68.04689688 0.16897687 0.02048006 68.42388800 0.16814031 0.02036892 68.80087911 0.16731178 0.02025897 69.05220653 0.16676384 0.02018633 69.42919764 0.16594845 0.02007833 69.80618876 0.16514080 0.01997147 70.18317988 0.16434078 0.01986573 70.56017100 0.16354829 0.01976110 70.93716212 0.16276321 0.01965756 71.18848953 0.16224389 0.01958913 71.56548065 0.16147095 0.01948737 71.94247177 0.16070516 0.01938665 72.31946289 0.15994642 0.01928696 72.69645400 0.15919464 0.01918829 73.07344512 0.15844972 0.01909061 73.45043624 0.15771157 0.01899392 73.82742736 0.15698010 0.01889820 74.20441848 0.15625522 0.01880343 74.58140960 0.15553685 0.01870960 74.95840071 0.15482490 0.01861670 75.33539183 0.15411928 0.01852471 75.71238295 0.15341990 0.01843362 76.08937407 0.15272670 0.01834342 76.46636519 0.15203959 0.01825409 76.84335631 0.15135849 0.01816562 77.22034743 0.15068332 0.01807800 77.59733854 0.15001401 0.01799122 77.97432966 0.14935048 0.01790526 78.47698449 0.14847610 0.01779317 78.85397561 0.14782574 0.01770907 79.23096672 0.14718093 0.01762575 79.60795784 0.14654158 0.01754321 79.98494896 0.14590764 0.01746143 80.48760378 0.14507068 0.01735356 80.86459490 0.14444908 0.01727353 81.24158602 0.14383267 0.01719423 81.61857714 0.14322138 0.01711565 82.12123196 0.14241419 0.01701198 82.49822308 0.14181460 0.01693504 82.87521420 0.14121993 0.01685880 83.37786903 0.14043458 0.01675819 83.75486014 0.13985115 0.01668352 84.13185126 0.13927244 0.01660950 84.63450609 0.13850807 0.01651183 85.01149721 0.13794016 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