# omega total a= 1 L= 2 0.06283185 0.19372137 0.05406612 0.18849556 0.27727105 0.02669587 0.31415927 0.42290437 0.03719575 0.43982297 0.56165737 0.04640775 0.56548668 0.69828724 0.05772842 0.69115038 0.82538510 0.06725158 0.81681409 0.94184597 0.07458959 0.94247780 1.04850700 0.08050236 1.06814150 1.14839017 0.08692603 1.19380521 1.23982483 0.09279895 1.31946891 1.32242564 0.09778995 1.44513262 1.39681139 0.10215396 1.57079633 1.46359454 0.10609437 1.69646003 1.52294102 0.10948796 1.82212374 1.57525021 0.11234037 1.94778745 1.62122225 0.11484182 2.07345115 1.66140728 0.11707784 2.19911486 1.69615669 0.11900938 2.32477856 1.72586948 0.12063921 2.45044227 1.75102934 0.12202943 2.57610598 1.77208051 0.12322104 2.70176968 1.78939575 0.12422187 2.82743339 1.80331874 0.12503934 2.95309709 1.81418593 0.12569356 3.07876080 1.82231774 0.12620916 3.20442451 1.82800469 0.12660529 3.33008821 1.83150324 0.12689290 3.45575192 1.83304172 0.12707853 3.58141563 1.83282950 0.12716963 3.70707933 1.83106254 0.12717710 3.83274304 1.82792262 0.12711357 3.95840674 1.82357442 0.12699047 4.08407045 1.81816364 0.12681601 4.20973416 1.81181776 0.12659496 4.33539786 1.80464912 0.12633007 4.46106157 1.79675776 0.12602341 4.58672527 1.78823394 0.12567733 4.71238898 1.77915934 0.12529467 4.83805269 1.76960786 0.12487857 4.96371639 1.75964585 0.12443199 5.08938010 1.74933266 0.12395753 5.21504380 1.73872105 0.12345730 5.34070751 1.72785815 0.12293319 5.46637122 1.71678605 0.12238693 5.59203492 1.70554269 0.12182039 5.71769863 1.69416234 0.12123562 5.84336234 1.68267608 0.12063488 5.96902604 1.67111201 0.12002053 6.09468975 1.65949543 0.11939489 6.22035345 1.64784900 0.11876014 6.34601716 1.63619283 0.11811825 6.47168087 1.62454437 0.11747064 6.59734457 1.61291880 0.11681839 6.72300828 1.60132911 0.11616219 6.84867198 1.58978608 0.11550212 6.97433569 1.57829905 0.11483823 7.09999940 1.56687576 0.11417026 7.22566310 1.55552306 0.11349811 7.35132681 1.54424676 0.11282166 7.47699052 1.53305228 0.11214111 7.60265422 1.52194458 0.11145698 7.72831793 1.51092816 0.11076992 7.85398163 1.50000725 0.11008088 7.97964534 1.48918569 0.10939092 8.10530905 1.47846688 0.10870114 8.23097275 1.46785389 0.10801269 8.35663646 1.45734934 0.10732669 8.48230016 1.44695488 0.10664371 8.60796387 1.43667230 0.10596467 8.73362758 1.42650234 0.10528984 8.85929128 1.41644552 0.10461952 8.98495499 1.40650185 0.10395371 9.11061870 1.39667109 0.10329240 9.23628240 1.38695249 0.10263528 9.36194611 1.37734545 0.10198229 9.48760981 1.36784896 0.10133313 9.61327352 1.35846228 0.10068782 9.73893723 1.34918429 0.10004619 9.86460093 1.34001409 0.09940828 9.99026464 1.33095083 0.09877426 10.11592834 1.32199341 0.09814416 10.24159205 1.31314127 0.09751846 10.36725576 1.30439325 0.09689722 10.49291946 1.29574856 0.09628082 10.61858317 1.28720613 0.09566944 10.74424688 1.27876492 0.09506328 10.86991058 1.27042386 0.09446256 10.99557429 1.26218171 0.09386734 11.12123799 1.25403726 0.09327771 11.24690170 1.24598912 0.09269364 11.37256541 1.23803602 0.09211516 11.49822911 1.23017634 0.09154205 11.62389282 1.22240880 0.09097434 11.74955652 1.21473174 0.09041174 11.87522023 1.20714377 0.08985418 12.00088394 1.19964335 0.08930147 12.12654764 1.19222899 0.08875344 12.25221135 1.18489924 0.08820994 12.37787506 1.17765265 0.08767082 12.50353876 1.17048781 0.08713593 12.62920247 1.16340339 0.08660520 12.75486617 1.15639803 0.08607850 12.88052988 1.14947055 0.08555584 13.00619359 1.14261959 0.08503709 13.13185729 1.13584405 0.08452227 13.25752100 1.12914275 0.08401137 13.38318470 1.12251462 0.08350442 13.50884841 1.11595855 0.08300142 13.63451212 1.10947352 0.08250243 13.76017582 1.10305857 0.08200754 13.88583953 1.09671264 0.08151672 14.01150324 1.09043485 0.08103012 14.13716694 1.08422417 0.08054772 14.26283065 1.07807967 0.08006957 14.38849435 1.07200050 0.07959576 14.51415806 1.06598567 0.07912629 14.63982177 1.06003435 0.07866122 14.76548547 1.05414556 0.07820053 14.89114918 1.04831843 0.07774424 15.01681288 1.04255212 0.07729238 15.14247659 1.03684565 0.07684485 15.26814030 1.03119825 0.07640174 15.39380400 1.02560901 0.07596297 15.51946771 1.02007701 0.07552847 15.64513141 1.01460149 0.07509826 15.77079512 1.00918159 0.07467228 15.89645883 1.00381643 0.07425046 16.02212253 0.99850527 0.07383278 16.14778624 0.99324734 0.07341923 16.27344995 0.98804167 0.07300961 16.39911365 0.98288768 0.07260401 16.52477736 0.97778445 0.07220227 16.65044106 0.97273131 0.07180438 16.77610477 0.96772749 0.07141027 16.90176848 0.96277232 0.07101991 17.02743218 0.95786502 0.07063320 17.15309589 0.95300488 0.07025006 17.27875959 0.94819124 0.06987047 17.40442330 0.94342343 0.06949436 17.53008701 0.93870080 0.06912168 17.65575071 0.93402265 0.06875235 17.78141442 0.92938836 0.06838631 17.90707813 0.92479734 0.06802355 18.03274183 0.92024898 0.06766400 18.15840554 0.91574264 0.06730759 18.28406924 0.91127775 0.06695427 18.40973295 0.90685381 0.06660406 18.53539666 0.90247016 0.06625684 18.66106036 0.89812631 0.06591261 18.78672407 0.89382167 0.06557129 18.91238777 0.88955577 0.06523290 19.03805148 0.88532805 0.06489734 19.16371519 0.88113808 0.06456467 19.28937889 0.87698527 0.06423474 19.41504260 0.87286923 0.06390764 19.54070631 0.86878941 0.06358325 19.66637001 0.86474541 0.06326160 19.79203372 0.86073674 0.06294264 19.91769742 0.85676293 0.06262633 20.04336113 0.85282360 0.06231269 20.16902484 0.84891826 0.06200165 20.29468854 0.84504650 0.06169319 20.42035225 0.84120794 0.06138731 20.54601595 0.83740212 0.06108397 20.67167966 0.83362866 0.06078316 20.79734337 0.82988716 0.06048483 20.92300707 0.82617724 0.06018900 21.04867078 0.82249849 0.05989559 21.17433449 0.81885057 0.05960464 21.29999819 0.81523306 0.05931607 21.42566190 0.81164563 0.05902989 21.55132560 0.80808790 0.05874606 21.67698931 0.80455952 0.05846457 21.80265302 0.80106017 0.05818540 21.92831672 0.79758944 0.05790849 22.05398043 0.79414707 0.05763388 22.17964413 0.79073267 0.05736150 22.30530784 0.78734596 0.05709136 22.43097155 0.78398658 0.05682342 22.55663525 0.78065424 0.05655767 22.68229896 0.77734862 0.05629409 22.80796267 0.77406942 0.05603266 22.93362637 0.77081634 0.05577336 23.05929008 0.76758909 0.05551618 23.18495378 0.76438737 0.05526110 23.31061749 0.76121090 0.05500810 23.43628120 0.75805940 0.05475716 23.56194490 0.75493261 0.05450829 23.68760861 0.75183023 0.05426144 23.81327231 0.74875200 0.05401661 23.93893602 0.74569766 0.05377378 24.06459973 0.74266697 0.05353295 24.19026343 0.73965965 0.05329410 24.31592714 0.73667545 0.05305720 24.44159084 0.73371413 0.05282225 24.56725455 0.73077546 0.05258924 24.69291826 0.72785914 0.05235813 24.81858196 0.72496501 0.05212894 24.94424567 0.72209277 0.05190162 25.06990938 0.71924222 0.05167618 25.19557308 0.71641312 0.05145260 25.44690049 0.71081837 0.05101093 25.57256420 0.70805228 0.05079282 25.82389161 0.70258156 0.05036196 25.94955532 0.69987651 0.05014918 26.20088273 0.69452593 0.04972880 26.32654644 0.69187999 0.04952118 26.57787385 0.68664583 0.04911099 26.82920126 0.68148725 0.04870741 26.95486497 0.67893583 0.04850806 27.20619238 0.67388772 0.04811413 27.45751979 0.66891133 0.04772642 27.58318350 0.66644959 0.04753488 27.83451091 0.66157807 0.04715628 28.08583832 0.65677467 0.04678357 28.21150203 0.65439809 0.04659939 28.46282944 0.64969429 0.04623525 28.71415685 0.64505520 0.04587664 28.96548427 0.64047956 0.04552345 29.09114797 0.63821512 0.04534884 29.34247538 0.63373224 0.04500352 29.59380280 0.62930969 0.04466328 29.84513021 0.62494626 0.04432802 30.09645762 0.62064083 0.04399761 30.34778503 0.61639225 0.04367194 30.47344874 0.61428895 0.04351086 30.72477615 0.61012362 0.04319210 30.97610356 0.60601247 0.04287783 31.22743098 0.60195447 0.04256794 31.47875839 0.59794862 0.04226234 31.73008580 0.59399395 0.04196094 31.98141321 0.59008950 0.04166364 32.23274063 0.58623436 0.04137036 32.48406804 0.58242761 0.04108103 32.73539545 0.57866839 0.04079556 32.98672286 0.57495582 0.04051387 33.23805027 0.57128907 0.04023588 33.48937769 0.56766731 0.03996154 33.74070510 0.56408976 0.03969076 33.99203251 0.56055563 0.03942347 34.24335992 0.55706415 0.03915962 34.49468734 0.55361459 0.03889914 34.74601475 0.55020620 0.03864196 34.99734216 0.54683829 0.03838802 35.37433328 0.54186079 0.03801307 35.62566069 0.53859105 0.03776698 35.87698810 0.53535942 0.03752394 36.12831552 0.53216525 0.03728388 36.37964293 0.52900791 0.03704676 36.75663405 0.52433962 0.03669646 37.00796146 0.52127170 0.03646645 37.25928887 0.51823852 0.03623920 37.51061628 0.51523951 0.03601466 37.88760740 0.51080385 0.03568283 38.13893481 0.50788785 0.03546487 38.39026223 0.50500411 0.03524946 38.76725335 0.50073788 0.03493103 39.01858076 0.49793257 0.03472182 39.39557188 0.49378165 0.03441249 39.64689929 0.49105170 0.03420921 39.89822670 0.48835106 0.03400824 40.27521782 0.48435407 0.03371104 40.52654523 0.48172474 0.03351567 40.90353635 0.47783266 0.03322670 41.15486376 0.47527192 0.03303672 41.53185488 0.47148076 0.03275567 41.78318229 0.46898603 0.03257086 42.16017341 0.46529202 0.03229740 42.53716453 0.46165455 0.03202836 42.78849194 0.45926037 0.03185141 43.16548306 0.45571437 0.03158950 43.41681047 0.45338003 0.03141721 43.79380159 0.44992217 0.03116218 44.17079271 0.44651566 0.03091113 44.54778383 0.44315938 0.03066399 44.79911124 0.44094924 0.03050135 45.17610236 0.43767431 0.03026052 45.55309348 0.43444680 0.03002336 45.93008460 0.43126571 0.02978980 46.18141201 0.42917030 0.02963605 46.55840313 0.42606444 0.02940830 46.93539424 0.42300245 0.02918393 47.31238536 0.41998345 0.02896288 47.68937648 0.41700654 0.02874508 48.06636760 0.41407087 0.02853045 48.44335872 0.41117559 0.02831893 48.82034984 0.40831991 0.02811044 49.19734096 0.40550302 0.02790494 49.57433207 0.40272415 0.02770235 49.95132319 0.39998256 0.02750262 50.32831431 0.39727750 0.02730568 50.70530543 0.39460827 0.02711149 51.08229655 0.39197416 0.02691998 51.45928767 0.38937451 0.02673110 51.83627878 0.38680865 0.02654480 52.33893361 0.38343894 0.02630032 52.71592473 0.38094944 0.02611983 53.09291585 0.37849163 0.02594176 53.46990696 0.37606494 0.02576605 53.97256179 0.37287673 0.02553538 54.34955291 0.37052039 0.02536501 54.72654403 0.36819328 0.02519686 55.22919885 0.36513502 0.02497604 55.60618997 0.36287406 0.02481289 55.98318109 0.36064061 0.02465183 56.48583591 0.35770459 0.02444025 56.86282703 0.35553341 0.02428390 57.36548185 0.35267871 0.02407845 57.74247297 0.35056725 0.02392660 58.24512780 0.34779056 0.02372703 58.62211892 0.34573643 0.02357949 59.12477374 0.34303464 0.02338556 59.62742857 0.34037430 0.02319474 60.00441968 0.33840569 0.02305363 60.50707451 0.33581566 0.02286808 61.00972933 0.33326458 0.02268546 61.38672045 0.33137630 0.02255036 61.88937528 0.32889130 0.02237268 62.39203010 0.32644292 0.02219774 62.89468492 0.32403038 0.02202547 63.39733975 0.32165289 0.02185582 63.89999457 0.31930970 0.02168873 64.40264940 0.31700008 0.02152414 64.77964052 0.31528946 0.02140230 65.28229534 0.31303689 0.02124195 65.78495017 0.31081598 0.02108396 66.41326870 0.30808336 0.02088970 66.91592352 0.30593131 0.02073682 67.41857835 0.30380884 0.02058613 67.92123317 0.30171535 0.02043760 68.42388800 0.29965026 0.02029116 68.92654282 0.29761300 0.02014678 69.42919764 0.29560301 0.02000442 70.05751618 0.29312804 0.01982924 70.56017100 0.29117745 0.01969126 71.06282582 0.28925243 0.01955517 71.69114435 0.28688133 0.01938765 72.19379918 0.28501203 0.01925567 72.82211771 0.28270908 0.01909316 73.32477253 0.28089312 0.01896510 73.95309107 0.27865544 0.01880739 74.45574589 0.27689058 0.01868309 75.08406442 0.27471544 0.01852997 75.58671925 0.27299957 0.01840925 76.21503778 0.27088439 0.01826053 76.84335631 0.26880145 0.01811417 77.34601113 0.26715784 0.01799874 77.97432966 0.26513114 0.01785649 78.60264819 0.26313470 0.01771645 79.23096672 0.26116785 0.01757857 79.85928525 0.25922995 0.01744279 80.36194008 0.25770003 0.01733567 80.99025861 0.25581264 0.01720357 81.61857714 0.25395247 0.01707346 82.24689567 0.25211893 0.01694529 82.87521420 0.25031146 0.01681901 83.62919644 0.24817613 0.01666992 84.25751497 0.24642410 0.01654766 84.88583350 0.24469642 0.01642717 85.51415203 0.24299260 0.01630841 86.14247056 0.24131215 0.01619134 86.89645280 0.23932579 0.01605304 87.52477133 0.23769509 0.01593956 88.15308986 0.23608628 0.01582767 88.90707210 0.23418398 0.01569544 89.53539063 0.23262181 0.01558692 90.28937286 0.23077426 0.01545864 90.91769139 0.22925673 0.01535333 91.67167363 0.22746161 0.01522882 92.42565587 0.22569415 0.01510630 93.05397440 0.22424194 0.01500569 93.80795664 0.22252357 0.01488670 94.56193887 0.22083111 0.01476957 95.19025740 0.21944011 0.01467335 95.94423964 0.21779368 0.01455952 96.69822188 0.21617157 0.01444744 97.45220411 0.21457324 0.01433705 98.20618635 0.21299817 0.01422833 98.96016859 0.21144587 0.01412123 99.71415082 0.20991585 0.01401573 100.46813306 0.20840763 0.01391178 101.34777900 0.20667497 0.01379243 102.10176124 0.20521241 0.01369173 102.85574348 0.20377024 0.01359249 103.60972572 0.20234803 0.01349467 104.48937166 0.20071346 0.01338230 105.24335390 0.19933311 0.01328746 106.12299984 0.19774630 0.01317848 106.87698208 0.19640599 0.01308648 107.75662802 0.19486488 0.01298074 108.51061025 0.19356289 0.01289146 109.39025620 0.19206555 0.01278883 110.26990214 0.19059100 0.01268781 111.14954808 0.18913873 0.01258836 111.90353032 0.18791129 0.01250435 112.78317626 0.18649909 0.01240774 113.66282221 0.18510778 0.01231260 114.54246815 0.18373691 0.01221891 115.42211409 0.18238603 0.01212662 116.30176004 0.18105470 0.01203571 117.18140598 0.17974252 0.01194615 118.18671563 0.17826578 0.01184540 119.06636157 0.17699324 0.01175863 119.94600751 0.17573859 0.01167311 120.95131716 0.17432614 0.01157688 121.83096311 0.17310858 0.01149397 122.83627276 0.17173759 0.01140064 123.71591870 0.17055551 0.01132022 124.72122835 0.16922418 0.01122968 125.60087429 0.16807606 0.01115163 126.60618394 0.16678271 0.01106374 127.61149359 0.16550894 0.01097722 128.61680324 0.16425434 0.01089204 129.62211289 0.16301846 0.01080817 130.62742254 0.16180089 0.01072558 131.63273219 0.16060123 0.01064423 132.63804183 0.15941909 0.01056411 133.64335148 0.15825410 0.01048518 134.64866113 0.15710587 0.01040741 135.65397078 0.15597406 0.01033079 136.78494414 0.15471995 0.01024592 137.79025379 0.15362188 0.01017164 138.92122714 0.15240488 0.01008935 139.92653679 0.15133905 0.01001731 141.05751015 0.15015755 0.00993748 142.06281980 0.14912258 0.00986758 143.19379315 0.14797504 0.00979010 144.32476651 0.14684490 0.00971382 145.45573986 0.14573175 0.00963873 146.58671322 0.14463524 0.00956478 147.71768657 0.14355498 0.00949195 148.84865993 0.14249061 0.00942023 149.97963328 0.14144180 0.00934957 151.11060664 0.14040821 0.00927997 152.24157999 0.13938950 0.00921139 153.49821705 0.13827468 0.00913636 154.62919041 0.13728637 0.00906988 155.88582747 0.13620457 0.00899713 157.01680083 0.13524532 0.00893264 158.27343789 0.13419510 0.00886206 159.53007495 0.13316096 0.00879259 160.66104830 0.13224366 0.00873098 161.91768537 0.13123906 0.00866354 163.17432243 0.13024950 0.00859712 164.43095949 0.12927465 0.00853171 165.68759655 0.12831418 0.00846729 167.06989732 0.12727391 0.00839754 168.32653438 0.12634265 0.00833512 169.58317144 0.12542482 0.00827361 170.96547221 0.12443039 0.00820700 172.22210927 0.12353986 0.00814736 173.60441004 0.12257479 0.00808275 174.86104710 0.12171036 0.00802489 176.24334787 0.12077338 0.00796220 177.62564863 0.11985062 0.00790048 179.00794940 0.11894176 0.00783970 180.39025017 0.11804650 0.00777985 181.77255094 0.11716454 0.00772091 183.15485170 0.11629558 0.00766285 184.66281618 0.11536211 0.00760050 186.04511695 0.11451942 0.00754422 187.42741771 0.11368888 0.00748878 188.93538219 0.11279639 0.00742921 190.31768295 0.11199042 0.00737543 191.82564743 0.11112415 0.00731765 193.33361190 0.11027109 0.00726076 194.84157638 0.10943096 0.00720474 196.34954085 0.10860346 0.00714958 197.85750532 0.10778831 0.00709526 199.36546980 0.10698524 0.00704176 200.87343427 0.10619398 0.00698906 202.50706245 0.10534982 0.00693285 204.01502692 0.10458235 0.00688175 205.64865510 0.10376338 0.00682724 207.15661958 0.10301865 0.00677769 208.79024776 0.10222377 0.00672481 210.42387594 0.10144100 0.00667274 212.05750412 0.10067006 0.00662148 213.69113230 0.09991069 0.00657100 215.32476048 0.09916264 0.00652127 216.95838866 0.09842565 0.00647230 218.59201684 0.09769948 0.00642405 220.35130872 0.09692928 0.00637290 221.98493690 0.09622484 0.00632611 223.74422879 0.09547752 0.00627649 225.50352067 0.09474166 0.00622765 227.26281256 0.09401700 0.00617955 229.02210445 0.09330330 0.00613220 230.78139633 0.09260030 0.00608556 232.54068822 0.09190777 0.00603962 234.29998010 0.09122547 0.00599438 236.18493570 0.09050554 0.00594665 237.94422758 0.08984374 0.00590278 239.82918318 0.08914528 0.00585648 241.71413877 0.08845754 0.00581091 243.47343065 0.08782513 0.00576901 245.35838625 0.08715745 0.00572479 247.24334184 0.08649981 0.00568123 249.25396114 0.08580913 0.00563550 251.13891673 0.08517153 0.00559329