# omega total a= 1 L= 2 0.06283185 0.25820187 0.08964735 0.18849556 0.34535878 0.06797335 0.31415927 0.47433245 0.07136280 0.43982297 0.60052750 0.07558649 0.56548668 0.72526412 0.08202761 0.69115038 0.84465727 0.08894288 0.81681409 0.95550069 0.09476662 0.94247780 1.05906376 0.10045198 1.06814150 1.15444787 0.10556930 1.19380521 1.24195348 0.11027287 1.31946891 1.32149450 0.11443891 1.44513262 1.39298724 0.11788746 1.57079633 1.45692335 0.12074094 1.69646003 1.51390779 0.12316557 1.82212374 1.56444912 0.12525825 1.94778745 1.60901496 0.12708004 2.07345115 1.64800537 0.12863595 2.19911486 1.68177136 0.12989689 2.32477856 1.71071016 0.13087503 2.45044227 1.73526922 0.13162826 2.57610598 1.75588530 0.13221732 2.70176968 1.77295162 0.13268406 2.82743339 1.78681175 0.13304858 2.95309709 1.79776306 0.13331296 3.07876080 1.80607124 0.13347231 3.20442451 1.81198782 0.13352722 3.33008821 1.81575690 0.13348796 3.45575192 1.81760997 0.13336981 3.58141563 1.81775796 0.13318639 3.70707933 1.81638823 0.13294652 3.83274304 1.81366672 0.13265486 3.95840674 1.80974177 0.13231376 4.08407045 1.80474670 0.13192450 4.20973416 1.79880131 0.13148773 4.33539786 1.79201354 0.13100407 4.46106157 1.78448182 0.13047525 4.58672527 1.77629744 0.12990525 4.71238898 1.76754606 0.12930063 4.83805269 1.75830741 0.12866963 4.96371639 1.74865434 0.12802064 5.08938010 1.73865142 0.12736056 5.21504380 1.72835439 0.12669378 5.34070751 1.71781058 0.12602206 5.46637122 1.70706008 0.12534507 5.59203492 1.69613736 0.12466133 5.71769863 1.68507274 0.12396911 5.84336234 1.67389364 0.12326715 5.96902604 1.66262531 0.12255500 6.09468975 1.65129114 0.12183301 6.22035345 1.63991288 0.12110234 6.34601716 1.62851047 0.12036451 6.47168087 1.61710204 0.11962129 6.59734457 1.60570394 0.11887448 6.72300828 1.59433057 0.11812566 6.84867198 1.58299464 0.11737623 6.97433569 1.57170728 0.11662740 7.09999940 1.56047822 0.11588022 7.22566310 1.54931590 0.11513555 7.35132681 1.53822779 0.11439423 7.47699052 1.52722023 0.11365687 7.60265422 1.51629881 0.11292407 7.72831793 1.50546815 0.11219616 7.85398163 1.49473213 0.11147338 7.97964534 1.48409385 0.11075575 8.10530905 1.47355570 0.11004310 8.23097275 1.46311957 0.10933523 8.35663646 1.45278680 0.10863182 8.48230016 1.44255833 0.10793251 8.60796387 1.43243491 0.10723707 8.73362758 1.42241695 0.10654521 8.85929128 1.41250485 0.10585690 8.98495499 1.40269884 0.10517212 9.11061870 1.39299907 0.10449097 9.23628240 1.38340554 0.10381359 9.36194611 1.37391812 0.10314013 9.48760981 1.36453663 0.10247081 9.61327352 1.35526075 0.10180583 9.73893723 1.34608983 0.10114525 9.86460093 1.33702331 0.10048921 9.99026464 1.32806026 0.09983766 10.11592834 1.31919980 0.09919064 10.24159205 1.31044074 0.09854796 10.36725576 1.30178191 0.09790955 10.49291946 1.29322208 0.09727525 10.61858317 1.28475989 0.09664487 10.74424688 1.27639405 0.09601833 10.86991058 1.26812324 0.09539551 10.99557429 1.25994614 0.09477630 11.12123799 1.25186151 0.09416072 11.24690170 1.24386811 0.09354878 11.37256541 1.23596481 0.09294056 11.49822911 1.22815051 0.09233621 11.62389282 1.22042415 0.09173587 11.74955652 1.21278473 0.09113977 11.87522023 1.20523123 0.09054810 12.00088394 1.19776273 0.08996110 12.12654764 1.19037825 0.08937899 12.25221135 1.18307684 0.08880199 12.37787506 1.17585756 0.08823030 12.50353876 1.16871942 0.08766409 12.62920247 1.16166145 0.08710351 12.75486617 1.15468260 0.08654864 12.88052988 1.14778192 0.08599964 13.00619359 1.14095827 0.08545648 13.13185729 1.13421063 0.08491922 13.25752100 1.12753787 0.08438782 13.38318470 1.12093894 0.08386227 13.50884841 1.11441269 0.08334251 13.63451212 1.10795808 0.08282852 13.76017582 1.10157398 0.08232018 13.88583953 1.09525929 0.08181741 14.01150324 1.08901293 0.08132013 14.13716694 1.08283380 0.08082822 14.26283065 1.07672086 0.08034159 14.38849435 1.07067313 0.07986020 14.51415806 1.06468951 0.07938390 14.63982177 1.05876907 0.07891267 14.76548547 1.05291075 0.07844633 14.89114918 1.04711367 0.07798489 15.01681288 1.04137683 0.07752821 15.14247659 1.03569932 0.07707625 15.26814030 1.03008027 0.07662895 15.39380400 1.02451871 0.07618616 15.51946771 1.01901386 0.07574791 15.64513141 1.01356474 0.07531401 15.77079512 1.00817060 0.07488447 15.89645883 1.00283055 0.07445918 16.02212253 0.99754372 0.07403800 16.14778624 0.99230940 0.07362096 16.27344995 0.98712669 0.07320787 16.39911365 0.98199487 0.07279871 16.52477736 0.97691315 0.07239340 16.65044106 0.97188073 0.07199180 16.77610477 0.96689695 0.07159391 16.90176848 0.96196103 0.07119960 17.02743218 0.95707223 0.07080879 17.15309589 0.95222990 0.07042144 17.27875959 0.94743337 0.07003749 17.40442330 0.94268196 0.06965686 17.53008701 0.93797504 0.06927951 17.65575071 0.93331197 0.06890538 17.78141442 0.92869216 0.06853445 17.90707813 0.92411501 0.06816667 18.03274183 0.91957997 0.06780202 18.15840554 0.91508647 0.06744048 18.28406924 0.91063395 0.06708202 18.40973295 0.90622190 0.06672662 18.53539666 0.90184981 0.06637428 18.66106036 0.89751718 0.06602501 18.78672407 0.89322349 0.06567874 18.91238777 0.88896827 0.06533551 19.03805148 0.88475107 0.06499533 19.16371519 0.88057143 0.06465818 19.28937889 0.87642889 0.06432406 19.41504260 0.87232298 0.06399295 19.54070631 0.86825325 0.06366482 19.66637001 0.86421931 0.06333971 19.79203372 0.86022070 0.06301758 19.91769742 0.85625695 0.06269838 20.04336113 0.85232767 0.06238213 20.16902484 0.84843243 0.06206879 20.29468854 0.84457080 0.06175831 20.42035225 0.84074237 0.06145069 20.54601595 0.83694672 0.06114588 20.67167966 0.83318346 0.06084385 20.79734337 0.82945216 0.06054456 20.92300707 0.82575241 0.06024796 21.04867078 0.82208386 0.05995403 21.17433449 0.81844604 0.05966268 21.29999819 0.81483861 0.05937389 21.42566190 0.81126120 0.05908765 21.55132560 0.80771339 0.05880386 21.67698931 0.80419485 0.05852252 21.80265302 0.80070519 0.05824356 21.92831672 0.79724405 0.05796695 22.05398043 0.79381110 0.05769265 22.17964413 0.79040597 0.05742062 22.30530784 0.78702834 0.05715083 22.43097155 0.78367786 0.05688323 22.55663525 0.78035423 0.05661781 22.68229896 0.77705712 0.05635453 22.80796267 0.77378622 0.05609336 22.93362637 0.77054123 0.05583429 23.05929008 0.76732186 0.05557728 23.18495378 0.76412781 0.05532232 23.31061749 0.76095878 0.05506937 23.43628120 0.75781453 0.05481846 23.56194490 0.75469475 0.05456952 23.68760861 0.75159919 0.05432256 23.81327231 0.74852759 0.05407756 23.93893602 0.74547966 0.05383451 24.06459973 0.74245519 0.05359341 24.19026343 0.73945390 0.05335422 24.31592714 0.73647557 0.05311696 24.44159084 0.73351993 0.05288159 24.56725455 0.73058675 0.05264811 24.69291826 0.72767581 0.05241653 24.81858196 0.72478686 0.05218680 24.94424567 0.72191967 0.05195894 25.06990938 0.71907403 0.05173293 25.19557308 0.71624970 0.05150875 25.44690049 0.71066412 0.05106586 25.57256420 0.70790242 0.05084711 25.82389161 0.70244017 0.05041497 25.94955532 0.69973917 0.05020152 26.20088273 0.69439645 0.04977985 26.32654644 0.69175430 0.04957159 26.57787385 0.68652745 0.04916013 26.82920126 0.68137587 0.04875530 26.95486497 0.67882781 0.04855534 27.20619238 0.67378624 0.04816021 27.45751979 0.66881612 0.04777136 27.58318350 0.66635740 0.04757924 27.83451091 0.66149177 0.04719957 28.08583832 0.65669400 0.04682580 28.21150203 0.65432014 0.04664110 28.46282944 0.64962164 0.04627597 28.71415685 0.64498764 0.04591642 28.96548427 0.64041686 0.04556230 29.09114797 0.63815476 0.04538723 29.34247538 0.63367646 0.04504104 29.59380280 0.62925831 0.04469998 29.84513021 0.62489911 0.04436390 30.09645762 0.62059772 0.04403271 30.34778503 0.61635303 0.04370629 30.47344874 0.61425161 0.04354483 30.72477615 0.61008994 0.04322536 30.97610356 0.60598229 0.04291039 31.22743098 0.60192766 0.04259982 31.47875839 0.59792504 0.04229357 31.73008580 0.59397347 0.04199152 31.98141321 0.59007201 0.04169361 32.23274063 0.58621973 0.04139974 32.48406804 0.58241573 0.04110982 32.73539545 0.57865915 0.04082378 32.98672286 0.57494912 0.04054154 33.23805027 0.57128480 0.04026302 33.48937769 0.56766539 0.03998815 33.74070510 0.56409009 0.03971687 33.99203251 0.56055813 0.03944910 34.24335992 0.55706873 0.03918477 34.49468734 0.55362116 0.03892382 34.74601475 0.55021470 0.03866619 34.99734216 0.54684864 0.03841181 35.37433328 0.54187378 0.03803622 35.62566069 0.53860571 0.03778973 35.87698810 0.53537569 0.03754629 36.12831552 0.53218306 0.03730584 36.37964293 0.52902721 0.03706834 36.75663405 0.52436105 0.03671751 37.00796146 0.52129448 0.03648714 37.25928887 0.51826260 0.03625955 37.51061628 0.51526484 0.03603468 37.88760740 0.51083096 0.03570237 38.13893481 0.50791608 0.03548409 38.39026223 0.50503343 0.03526838 38.76725335 0.50076875 0.03494951 39.01858076 0.49796443 0.03474001 39.39557188 0.49381491 0.03443027 39.64689929 0.49108584 0.03422673 39.89822670 0.48838606 0.03402550 40.27521782 0.48439029 0.03372791 40.52654523 0.48176173 0.03353230 40.90353635 0.47787074 0.03324298 41.15486376 0.47531070 0.03305277 41.53185488 0.47152053 0.03277138 41.78318229 0.46902642 0.03258635 42.16017341 0.46533330 0.03231258 42.53716453 0.46169667 0.03204324 42.78849194 0.45930301 0.03186608 43.16548306 0.45575776 0.03160389 43.41681047 0.45342390 0.03143142 43.79380159 0.44996670 0.03117611 44.17079271 0.44656081 0.03092480 44.54778383 0.44320512 0.03067740 44.79911124 0.44099534 0.03051460 45.17610236 0.43772093 0.03027353 45.55309348 0.43449390 0.03003614 45.93008460 0.43131326 0.02980235 46.18141201 0.42921813 0.02964845 46.55840313 0.42611266 0.02942049 46.93539424 0.42305104 0.02919592 47.31238536 0.42003236 0.02897467 47.68937648 0.41705576 0.02875667 48.06636760 0.41412037 0.02854185 48.44335872 0.41122535 0.02833014 48.82034984 0.40836990 0.02812148 49.19734096 0.40555322 0.02791580 49.57433207 0.40277454 0.02771304 49.95132319 0.40003311 0.02751315 50.32831431 0.39732820 0.02731605 50.70530543 0.39465910 0.02712170 51.08229655 0.39202511 0.02693004 51.45928767 0.38942556 0.02674102 51.83627878 0.38685977 0.02655457 52.33893361 0.38349015 0.02630991 52.71592473 0.38100070 0.02612929 53.09291585 0.37854293 0.02595109 53.46990696 0.37611625 0.02577525 53.97256179 0.37292806 0.02554441 54.34955291 0.37057172 0.02537392 54.72654403 0.36824459 0.02520566 55.22919885 0.36518630 0.02498468 55.60618997 0.36292530 0.02482143 55.98318109 0.36069180 0.02466026 56.48583591 0.35775571 0.02444854 56.86282703 0.35558446 0.02429208 57.36548185 0.35272966 0.02408650 57.74247297 0.35061812 0.02393455 58.24512780 0.34784132 0.02373486 58.62211892 0.34578709 0.02358723 59.12477374 0.34308516 0.02339318 59.62742857 0.34042467 0.02320224 60.00441968 0.33845595 0.02306105 60.50707451 0.33586575 0.02287539 61.00972933 0.33331450 0.02269266 61.38672045 0.33142609 0.02255749 61.88937528 0.32894090 0.02237970 62.39203010 0.32649234 0.02220466 62.89468492 0.32407960 0.02203230 63.39733975 0.32170191 0.02186256 63.89999457 0.31935851 0.02169537 64.40264940 0.31704868 0.02153069 64.77964052 0.31533791 0.02140879 65.28229534 0.31308512 0.02124836 65.78495017 0.31086399 0.02109028 66.41326870 0.30813109 0.02089593 66.91592352 0.30597881 0.02074297 67.41857835 0.30385611 0.02059220 67.92123317 0.30176239 0.02044359 68.42388800 0.29969707 0.02029708 68.92654282 0.29765957 0.02015263 69.42919764 0.29564934 0.02001020 70.05751618 0.29317408 0.01983494 70.56017100 0.29122325 0.01969690 71.06282582 0.28929798 0.01956074 71.69114435 0.28692659 0.01939314 72.19379918 0.28505704 0.01926110 72.82211771 0.28275379 0.01909852 73.32477253 0.28093758 0.01897040 73.95309107 0.27869960 0.01881262 74.45574589 0.27693450 0.01868826 75.08406442 0.27475905 0.01853508 75.58671925 0.27304293 0.01841431 76.21503778 0.27092745 0.01826552 76.84335631 0.26884421 0.01811910 77.34601113 0.26720036 0.01800362 77.97432966 0.26517335 0.01786131 78.60264819 0.26317661 0.01772121 79.23096672 0.26120947 0.01758327 79.85928525 0.25927126 0.01744745 80.36194008 0.25774111 0.01734027 80.99025861 0.25585343 0.01720813 81.61857714 0.25399296 0.01707797 82.24689567 0.25215913 0.01694974 82.87521420 0.25035137 0.01682341 83.62919644 0.24821570 0.01667426 84.25751497 0.24646338 0.01655196 84.88583350 0.24473542 0.01643142 85.51415203 0.24303132 0.01631261 86.14247056 0.24135059 0.01619550 86.89645280 0.23936389 0.01605715 87.52477133 0.23773291 0.01594363 88.15308986 0.23612383 0.01583170 88.90707210 0.23422121 0.01569942 89.53539063 0.23265877 0.01559086 90.28937286 0.23081091 0.01546253 90.91769139 0.22929311 0.01535718 91.67167363 0.22749768 0.01523263 92.42565587 0.22572991 0.01511007 93.05397440 0.22427745 0.01500943 93.80795664 0.22255877 0.01489040 94.56193887 0.22086602 0.01477323 95.19025740 0.21947477 0.01467698 95.94423964 0.21782805 0.01456311 96.69822188 0.21620564 0.01445098 97.45220411 0.21460702 0.01434056 98.20618635 0.21303168 0.01423180 98.96016859 0.21147910 0.01412467 99.71415082 0.20994880 0.01401913 100.46813306 0.20844030 0.01391515 101.34777900 0.20670733 0.01379575 102.10176124 0.20524451 0.01369503 102.85574348 0.20380207 0.01359576 103.60972572 0.20237960 0.01349790 104.48937166 0.20074473 0.01338550 105.24335390 0.19936412 0.01329063 106.12299984 0.19777703 0.01318162 106.87698208 0.19643646 0.01308958 107.75662802 0.19489507 0.01298382 108.51061025 0.19359285 0.01289451 109.39025620 0.19209522 0.01279184 110.26990214 0.19062040 0.01269079 111.14954808 0.18916787 0.01259132 111.90353032 0.18794019 0.01250728 112.78317626 0.18652773 0.01241064 113.66282221 0.18513617 0.01231547 114.54246815 0.18376505 0.01222175 115.42211409 0.18241391 0.01212943 116.30176004 0.18108234 0.01203850 117.18140598 0.17976991 0.01194891 118.18671563 0.17829290 0.01184814 119.06636157 0.17702013 0.01176134 119.94600751 0.17576524 0.01167579 120.95131716 0.17435253 0.01157954 121.83096311 0.17313475 0.01149660 122.83627276 0.17176350 0.01140325 123.71591870 0.17058120 0.01132280 124.72122835 0.16924963 0.01123223 125.60087429 0.16810130 0.01115416 126.60618394 0.16680770 0.01106625 127.61149359 0.16553370 0.01097971 128.61680324 0.16427887 0.01089451 129.62211289 0.16304276 0.01081061 130.62742254 0.16182497 0.01072800 131.63273219 0.16062509 0.01064663 132.63804183 0.15944273 0.01056648 133.64335148 0.15827752 0.01048753 134.64866113 0.15712909 0.01040975 135.65397078 0.15599707 0.01033310 136.78494414 0.15474273 0.01024821 137.79025379 0.15364446 0.01017391 138.92122714 0.15242724 0.01009160 139.92653679 0.15136122 0.01001954 141.05751015 0.15017950 0.00993969 142.06281980 0.14914435 0.00986977 143.19379315 0.14799660 0.00979227 144.32476651 0.14686625 0.00971598 145.45573986 0.14575291 0.00964086 146.58671322 0.14465619 0.00956689 147.71768657 0.14357574 0.00949405 148.84865993 0.14251118 0.00942230 149.97963328 0.14146219 0.00935163 151.11060664 0.14042841 0.00928201 152.24157999 0.13940952 0.00921341 153.49821705 0.13829450 0.00913837 154.62919041 0.13730601 0.00907186 155.88582747 0.13622402 0.00899910 157.01680083 0.13526461 0.00893459 158.27343789 0.13421420 0.00886400 159.53007495 0.13317987 0.00879450 160.66104830 0.13226242 0.00873288 161.91768537 0.13125764 0.00866542 163.17432243 0.13026791 0.00859899 164.43095949 0.12929289 0.00853357 165.68759655 0.12833226 0.00846913 167.06989732 0.12729181 0.00839936 168.32653438 0.12636038 0.00833692 169.58317144 0.12544239 0.00827540 170.96547221 0.12444779 0.00820877 172.22210927 0.12355711 0.00814912 173.60441004 0.12259188 0.00808449 174.86104710 0.12172730 0.00802662 176.24334787 0.12079016 0.00796391 177.62564863 0.11986724 0.00790218 179.00794940 0.11895823 0.00784139 180.39025017 0.11806282 0.00778152 181.77255094 0.11718071 0.00772256 183.15485170 0.11631160 0.00766449 184.66281618 0.11537798 0.00760212 186.04511695 0.11453515 0.00754584 187.42741771 0.11370447 0.00749038 188.93538219 0.11281183 0.00743080 190.31768295 0.11200573 0.00737701 191.82564743 0.11113931 0.00731921 193.33361190 0.11028611 0.00726230 194.84157638 0.10944584 0.00720628 196.34954085 0.10861821 0.00715111 197.85750532 0.10780292 0.00709677 199.36546980 0.10699972 0.00704326 200.87343427 0.10620834 0.00699054 202.50706245 0.10536404 0.00693432 204.01502692 0.10459644 0.00688321 205.64865510 0.10377734 0.00682869 207.15661958 0.10303249 0.00677912 208.79024776 0.10223748 0.00672623 210.42387594 0.10145459 0.00667415 212.05750412 0.10068353 0.00662288 213.69113230 0.09992404 0.00657238 215.32476048 0.09917587 0.00652265 216.95838866 0.09843876 0.00647366 218.59201684 0.09771248 0.00642541 220.35130872 0.09694216 0.00637424 221.98493690 0.09623760 0.00632745 223.74422879 0.09549016 0.00627782 225.50352067 0.09475419 0.00622896 227.26281256 0.09402942 0.00618085 229.02210445 0.09331561 0.00613348 230.78139633 0.09261250 0.00608684 232.54068822 0.09191986 0.00604089 234.29998010 0.09123746 0.00599564 236.18493570 0.09051742 0.00594789 237.94422758 0.08985552 0.00590401 239.82918318 0.08915695 0.00585771 241.71413877 0.08846911 0.00581213 243.47343065 0.08783660 0.00577022 245.35838625 0.08716882 0.00572598 247.24334184 0.08651108 0.00568242 249.25396114 0.08582030 0.00563668 251.13891673 0.08518260 0.00559446