# omega total a= 1 L= 2 0.06283185 0.15338876 0.03067154 0.18849556 0.27625827 0.02561793 0.31415927 0.42262921 0.03618415 0.43982297 0.56381643 0.04650231 0.56548668 0.69760657 0.05591414 0.69115038 0.82362309 0.06461917 0.81681409 0.94141707 0.07264038 0.94247780 1.04978143 0.07942967 1.06814150 1.14951464 0.08558907 1.19380521 1.24110149 0.09139707 1.31946891 1.32393387 0.09639056 1.44513262 1.39845833 0.10072906 1.57079633 1.46534517 0.10465305 1.69646003 1.52509365 0.10824970 1.82212374 1.57806015 0.11149280 1.94778745 1.62456155 0.11432045 2.07345115 1.66497917 0.11671311 2.19911486 1.69976392 0.11869848 2.32477856 1.72942063 0.12033929 2.45044227 1.75447160 0.12171311 2.57610598 1.77539805 0.12288098 2.70176968 1.79260690 0.12387133 2.82743339 1.80644318 0.12469071 2.95309709 1.81722135 0.12534407 3.07876080 1.82524349 0.12584488 3.20442451 1.83079893 0.12621310 3.33008821 1.83415803 0.12646993 3.45575192 1.83556813 0.12663437 3.58141563 1.83525159 0.12672131 3.70707933 1.83340440 0.12674003 3.83274304 1.83019767 0.12669479 3.95840674 1.82578217 0.12658732 4.08407045 1.82029412 0.12641991 4.20973416 1.81385949 0.12619720 4.33539786 1.80659540 0.12592606 4.46106157 1.79860947 0.12561416 4.58672527 1.78999870 0.12526850 4.71238898 1.78084910 0.12489460 4.83805269 1.77123613 0.12449624 4.96371639 1.76122573 0.12407570 5.08938010 1.75087558 0.12363410 5.21504380 1.74023613 0.12317163 5.34070751 1.72935172 0.12268789 5.46637122 1.71826149 0.12218218 5.59203492 1.70700036 0.12165390 5.71769863 1.69559981 0.12110278 5.84336234 1.68408854 0.12052916 5.96902604 1.67249311 0.11993420 6.09468975 1.66083805 0.11931969 6.22035345 1.64914605 0.11868808 6.34601716 1.63743794 0.11804214 6.47168087 1.62573258 0.11738475 6.59734457 1.61404694 0.11671872 6.72300828 1.60239621 0.11604675 6.84867198 1.59079359 0.11537109 6.97433569 1.57925035 0.11469347 7.09999940 1.56777617 0.11401529 7.22566310 1.55637914 0.11333748 7.35132681 1.54506569 0.11266040 7.47699052 1.53384109 0.11198416 7.60265422 1.52270945 0.11130857 7.72831793 1.51167422 0.11063341 7.85398163 1.50073828 0.10995853 7.97964534 1.48990392 0.10928373 8.10530905 1.47917334 0.10860911 8.23097275 1.46854848 0.10793487 8.35663646 1.45803085 0.10726118 8.48230016 1.44762201 0.10658853 8.60796387 1.43732307 0.10591724 8.73362758 1.42713481 0.10524762 8.85929128 1.41705784 0.10458003 8.98495499 1.40709252 0.10391479 9.11061870 1.39723875 0.10325203 9.23628240 1.38749634 0.10259196 9.36194611 1.37786492 0.10193477 9.48760981 1.36834402 0.10128068 9.61327352 1.35893297 0.10062985 9.73893723 1.34963112 0.09998255 9.86460093 1.34043785 0.09933913 9.99026464 1.33135237 0.09869989 10.11592834 1.32237388 0.09806513 10.24159205 1.31350174 0.09743534 10.36725576 1.30473491 0.09681070 10.49291946 1.29607252 0.09619157 10.61858317 1.28751358 0.09557820 10.74424688 1.27905708 0.09497086 10.86991058 1.27070169 0.09436953 10.99557429 1.26244637 0.09377446 11.12123799 1.25428968 0.09318557 11.24690170 1.24623027 0.09260283 11.37256541 1.23826662 0.09202610 11.49822911 1.23039727 0.09145526 11.62389282 1.22262067 0.09089011 11.74955652 1.21493525 0.09033045 11.87522023 1.20733952 0.08977610 12.00088394 1.19983173 0.08922671 12.12654764 1.19241057 0.08868222 12.25221135 1.18507440 0.08814235 12.37787506 1.17782174 0.08760691 12.50353876 1.17065120 0.08707576 12.62920247 1.16356135 0.08654876 12.75486617 1.15655090 0.08602581 12.88052988 1.14961850 0.08550681 13.00619359 1.14276292 0.08499171 13.13185729 1.13598297 0.08448049 13.25752100 1.12927743 0.08397308 13.38318470 1.12264520 0.08346952 13.50884841 1.11608515 0.08296979 13.63451212 1.10959629 0.08247396 13.76017582 1.10317746 0.08198198 13.88583953 1.09682776 0.08149397 14.01150324 1.09054613 0.08100991 14.13716694 1.08433163 0.08052987 14.26283065 1.07818324 0.08005384 14.38849435 1.07210010 0.07958191 14.51415806 1.06608118 0.07911405 14.63982177 1.06012565 0.07865033 14.76548547 1.05423252 0.07819071 14.89114918 1.04840103 0.07773532 15.01681288 1.04263010 0.07728401 15.14247659 1.03691902 0.07683689 15.26814030 1.03126683 0.07639390 15.39380400 1.02567268 0.07595503 15.51946771 1.02013579 0.07552031 15.64513141 1.01465525 0.07508966 15.77079512 1.00923029 0.07466310 15.89645883 1.00386003 0.07424053 16.02212253 0.99854373 0.07382198 16.14778624 0.99328064 0.07340744 16.27344995 0.98806989 0.07299678 16.39911365 0.98291078 0.07259003 16.52477736 0.97780257 0.07218715 16.65044106 0.97274447 0.07178805 16.77610477 0.96773579 0.07139272 16.90176848 0.96277588 0.07100116 17.02743218 0.95786389 0.07061321 17.15309589 0.95299934 0.07022898 17.27875959 0.94818136 0.06984827 17.40442330 0.94340946 0.06947119 17.53008701 0.93868286 0.06909757 17.65575071 0.93400105 0.06872749 17.78141442 0.92936331 0.06836081 17.90707813 0.92476905 0.06799751 18.03274183 0.92021772 0.06763760 18.15840554 0.91570866 0.06728097 18.28406924 0.91124132 0.06692761 18.40973295 0.90681513 0.06657748 18.53539666 0.90242955 0.06623056 18.66106036 0.89808399 0.06588676 18.78672407 0.89377791 0.06554605 18.91238777 0.88951078 0.06520841 19.03805148 0.88528210 0.06487378 19.16371519 0.88109131 0.06454211 19.28937889 0.87693795 0.06421339 19.41504260 0.87282148 0.06388753 19.54070631 0.86874141 0.06356452 19.66637001 0.86469728 0.06324430 19.79203372 0.86068862 0.06292686 19.91769742 0.85671495 0.06261213 20.04336113 0.85277581 0.06230008 20.16902484 0.84887077 0.06199068 20.29468854 0.84499935 0.06168387 20.42035225 0.84116116 0.06137964 20.54601595 0.83735574 0.06107792 20.67167966 0.83358272 0.06077872 20.79734337 0.82984164 0.06048197 20.92300707 0.82613214 0.06018766 21.04867078 0.82245379 0.05989574 21.17433449 0.81880623 0.05960620 21.29999819 0.81518906 0.05931899 21.42566190 0.81160195 0.05903411 21.55132560 0.80804449 0.05875151 21.67698931 0.80451635 0.05847118 21.80265302 0.80101716 0.05819309 21.92831672 0.79754661 0.05791722 22.05398043 0.79410432 0.05764354 22.17964413 0.79069000 0.05737206 22.30530784 0.78730329 0.05710272 22.43097155 0.78394391 0.05683555 22.55663525 0.78061152 0.05657049 22.68229896 0.77730582 0.05630755 22.80796267 0.77402651 0.05604670 22.93362637 0.77077330 0.05578795 23.05929008 0.76754590 0.05553127 23.18495378 0.76434400 0.05527662 23.31061749 0.76116736 0.05502405 23.43628120 0.75801566 0.05477349 23.56194490 0.75488865 0.05452496 23.68760861 0.75178607 0.05427844 23.81327231 0.74870764 0.05403391 23.93893602 0.74565312 0.05379138 24.06459973 0.74262221 0.05355081 24.19026343 0.73961470 0.05331220 24.31592714 0.73663034 0.05307556 24.44159084 0.73366883 0.05284083 24.56725455 0.73073000 0.05260805 24.69291826 0.72781354 0.05237716 24.81858196 0.72491926 0.05214817 24.94424567 0.72204691 0.05192108 25.06990938 0.71919623 0.05169583 25.19557308 0.71636705 0.05147246 25.44690049 0.71077213 0.05103118 25.57256420 0.70800597 0.05081327 25.82389161 0.70253515 0.05038278 25.94955532 0.69983005 0.05017018 26.20088273 0.69447942 0.04975018 26.32654644 0.69183346 0.04954273 26.57787385 0.68659928 0.04913289 26.82920126 0.68144067 0.04872962 26.95486497 0.67888924 0.04853041 27.20619238 0.67384110 0.04813675 27.45751979 0.66886470 0.04774931 27.58318350 0.66640294 0.04755788 27.83451091 0.66153138 0.04717949 28.08583832 0.65672792 0.04680695 28.21150203 0.65435131 0.04662284 28.46282944 0.64964742 0.04625882 28.71415685 0.64500825 0.04590031 28.96548427 0.64043248 0.04554718 29.09114797 0.63816796 0.04537258 29.34247538 0.63368495 0.04502727 29.59380280 0.62926223 0.04468703 29.84513021 0.62489865 0.04435173 30.09645762 0.62059303 0.04402125 30.34778503 0.61634426 0.04369550 30.47344874 0.61424086 0.04353437 30.72477615 0.61007533 0.04321551 30.97610356 0.60596398 0.04290111 31.22743098 0.60190578 0.04259109 31.47875839 0.59789972 0.04228534 31.73008580 0.59394485 0.04198378 31.98141321 0.59004022 0.04168632 32.23274063 0.58618488 0.04139287 32.48406804 0.58237795 0.04110336 32.73539545 0.57861855 0.04081771 32.98672286 0.57490582 0.04053584 33.23805027 0.57123891 0.04025767 33.48937769 0.56761700 0.03998314 33.74070510 0.56403931 0.03971218 33.99203251 0.56050505 0.03944471 34.24335992 0.55701346 0.03918067 34.49468734 0.55356378 0.03892001 34.74601475 0.55015530 0.03866264 34.99734216 0.54678730 0.03840853 35.37433328 0.54180969 0.03803331 35.62566069 0.53853988 0.03778705 35.87698810 0.53530819 0.03754384 36.12831552 0.53211397 0.03730361 36.37964293 0.52895660 0.03706632 36.75663405 0.52428827 0.03671579 37.00796146 0.52122034 0.03648562 37.25928887 0.51818716 0.03625821 37.51061628 0.51518815 0.03603352 37.88760740 0.51075251 0.03570146 38.13893481 0.50783652 0.03548335 38.39026223 0.50495282 0.03526779 38.76725335 0.50068664 0.03494916 39.01858076 0.49788138 0.03473980 39.39557188 0.49373053 0.03443027 39.64689929 0.49100064 0.03422687 39.89822670 0.48830006 0.03402577 40.27521782 0.48430318 0.03372837 40.52654523 0.48167393 0.03353288 40.90353635 0.47778196 0.03324373 41.15486376 0.47522131 0.03305363 41.53185488 0.47143029 0.03277240 41.78318229 0.46893566 0.03258747 42.16017341 0.46524179 0.03231385 42.53716453 0.46160448 0.03204465 42.78849194 0.45921040 0.03186758 43.16548306 0.45566457 0.03160552 43.41681047 0.45333036 0.03143313 43.79380159 0.44987267 0.03117794 44.17079271 0.44646634 0.03092675 44.54778383 0.44311025 0.03067946 44.79911124 0.44090023 0.03051673 45.17610236 0.43762549 0.03027576 45.55309348 0.43439818 0.03003846 45.93008460 0.43121730 0.02980476 46.18141201 0.42912202 0.02965092 46.55840313 0.42601636 0.02942304 46.93539424 0.42295459 0.02919855 47.31238536 0.41993579 0.02897738 47.68937648 0.41695910 0.02875945 48.06636760 0.41402364 0.02854470 48.44335872 0.41112858 0.02833306 48.82034984 0.40827311 0.02812446 49.19734096 0.40545644 0.02791884 49.57433207 0.40267779 0.02771614 49.95132319 0.39993642 0.02751630 50.32831431 0.39723158 0.02731926 50.70530543 0.39456257 0.02712496 51.08229655 0.39192868 0.02693335 51.45928767 0.38932925 0.02674437 51.83627878 0.38676361 0.02655796 52.33893361 0.38339420 0.02631335 52.71592473 0.38090491 0.02613277 53.09291585 0.37844733 0.02595460 53.46990696 0.37602085 0.02577880 53.97256179 0.37283294 0.02554800 54.34955291 0.37047682 0.02537755 54.72654403 0.36814993 0.02520931 55.22919885 0.36509195 0.02498837 55.60618997 0.36283121 0.02482514 55.98318109 0.36059797 0.02466399 56.48583591 0.35766224 0.02445230 56.86282703 0.35549127 0.02429587 57.36548185 0.35263686 0.02409032 57.74247297 0.35052561 0.02393838 58.24512780 0.34774921 0.02373871 58.62211892 0.34569528 0.02359110 59.12477374 0.34299377 0.02339706 59.62742857 0.34033370 0.02320615 60.00441968 0.33836530 0.02306496 60.50707451 0.33577554 0.02287932 61.00972933 0.33322472 0.02269660 61.38672045 0.33133664 0.02256144 61.88937528 0.32885191 0.02238367 62.39203010 0.32640380 0.02220863 62.89468492 0.32399151 0.02203628 63.39733975 0.32161428 0.02186654 63.89999457 0.31927134 0.02169937 64.40264940 0.31696197 0.02153469 64.77964052 0.31525155 0.02141279 65.28229534 0.31299922 0.02125237 65.78495017 0.31077856 0.02109429 66.41326870 0.30804625 0.02089994 66.91592352 0.30589443 0.02074698 67.41857835 0.30377220 0.02059622 67.92123317 0.30167895 0.02044760 68.42388800 0.29961410 0.02030109 68.92654282 0.29757706 0.02015664 69.42919764 0.29556730 0.02001421 70.05751618 0.29309262 0.01983894 70.56017100 0.29114226 0.01970090 71.06282582 0.28921745 0.01956474 71.69114435 0.28684664 0.01939713 72.19379918 0.28497755 0.01926508 72.82211771 0.28267487 0.01910250 73.32477253 0.28085912 0.01897437 73.95309107 0.27862170 0.01881659 74.45574589 0.27685705 0.01869222 75.08406442 0.27468216 0.01853902 75.58671925 0.27296649 0.01841825 76.21503778 0.27085156 0.01826945 76.84335631 0.26876887 0.01812302 77.34601113 0.26712545 0.01800753 77.97432966 0.26509899 0.01786521 78.60264819 0.26310279 0.01772510 79.23096672 0.26113618 0.01758715 79.85928525 0.25919851 0.01745131 80.36194008 0.25766878 0.01734413 80.99025861 0.25578161 0.01721197 81.61857714 0.25392166 0.01708180 82.24689567 0.25208834 0.01695356 82.87521420 0.25028109 0.01682722 83.62919644 0.24814602 0.01667805 84.25751497 0.24639420 0.01655574 84.88583350 0.24466673 0.01643519 85.51415203 0.24296312 0.01631637 86.14247056 0.24128287 0.01619924 86.89645280 0.23929675 0.01606087 87.52477133 0.23766625 0.01594734 88.15308986 0.23605763 0.01583539 88.90707210 0.23415557 0.01570310 89.53539063 0.23259359 0.01559452 90.28937286 0.23074627 0.01546618 90.91769139 0.22922892 0.01536082 91.67167363 0.22743402 0.01523625 92.42565587 0.22566677 0.01511367 93.05397440 0.22421475 0.01501301 93.80795664 0.22249658 0.01489396 94.56193887 0.22080434 0.01477678 95.19025740 0.21941351 0.01468051 95.94423964 0.21776728 0.01456663 96.69822188 0.21614536 0.01445448 97.45220411 0.21454723 0.01434404 98.20618635 0.21297236 0.01423527 98.96016859 0.21142025 0.01412812 99.71415082 0.20989041 0.01402256 100.46813306 0.20838237 0.01391856 101.34777900 0.20664993 0.01379915 102.10176124 0.20518756 0.01369841 102.85574348 0.20374556 0.01359912 103.60972572 0.20232352 0.01350125 104.48937166 0.20068916 0.01338883 105.24335390 0.19930898 0.01329394 106.12299984 0.19772236 0.01318491 106.87698208 0.19638221 0.01309286 107.75662802 0.19484130 0.01298707 108.51061025 0.19353947 0.01289775 109.39025620 0.19204231 0.01279506 110.26990214 0.19056794 0.01269399 111.14954808 0.18911586 0.01259450 111.90353032 0.18788856 0.01251045 112.78317626 0.18647654 0.01241379 113.66282221 0.18508540 0.01231861 114.54246815 0.18371470 0.01222486 115.42211409 0.18236399 0.01213253 116.30176004 0.18103283 0.01204158 117.18140598 0.17972080 0.01195197 118.18671563 0.17824425 0.01185118 119.06636157 0.17697187 0.01176436 119.94600751 0.17571737 0.01167880 120.95131716 0.17430509 0.01158252 121.83096311 0.17308769 0.01149957 122.83627276 0.17171686 0.01140620 123.71591870 0.17053493 0.01132574 124.72122835 0.16920377 0.01123515 125.60087429 0.16805579 0.01115706 126.60618394 0.16676259 0.01106913 127.61149359 0.16548899 0.01098257 128.61680324 0.16423454 0.01089735 129.62211289 0.16299881 0.01081344 130.62742254 0.16178139 0.01073081 131.63273219 0.16058188 0.01064942 132.63804183 0.15939989 0.01056926 133.64335148 0.15823503 0.01049029 134.64866113 0.15708695 0.01041249 135.65397078 0.15595528 0.01033582 136.78494414 0.15470133 0.01025092 137.79025379 0.15360338 0.01017660 138.92122714 0.15238654 0.01009427 139.92653679 0.15132084 0.01002219 141.05751015 0.15013948 0.00994232 142.06281980 0.14910464 0.00987239 143.19379315 0.14795725 0.00979487 144.32476651 0.14682724 0.00971856 145.45573986 0.14571423 0.00964343 146.58671322 0.14461785 0.00956944 147.71768657 0.14353772 0.00949658 148.84865993 0.14247349 0.00942482 149.97963328 0.14142481 0.00935413 151.11060664 0.14039134 0.00928449 152.24157999 0.13937276 0.00921588 153.49821705 0.13825808 0.00914082 154.62919041 0.13726989 0.00907430 155.88582747 0.13618822 0.00900152 157.01680083 0.13522909 0.00893700 158.27343789 0.13417900 0.00886638 159.53007495 0.13314498 0.00879688 160.66104830 0.13222780 0.00873524 161.91768537 0.13122332 0.00866776 163.17432243 0.13023388 0.00860131 164.43095949 0.12925915 0.00853587 165.68759655 0.12829880 0.00847142 167.06989732 0.12725866 0.00840164 168.32653438 0.12632750 0.00833918 169.58317144 0.12540979 0.00827765 170.96547221 0.12441548 0.00821100 172.22210927 0.12352506 0.00815133 173.60441004 0.12256011 0.00808669 174.86104710 0.12169578 0.00802881 176.24334787 0.12075891 0.00796608 177.62564863 0.11983627 0.00790433 179.00794940 0.11892752 0.00784352 180.39025017 0.11803237 0.00778365 181.77255094 0.11715052 0.00772467 183.15485170 0.11628166 0.00766658 184.66281618 0.11534831 0.00760420 186.04511695 0.11450572 0.00754790 187.42741771 0.11367528 0.00749243 188.93538219 0.11278290 0.00743283 190.31768295 0.11197703 0.00737903 191.82564743 0.11111086 0.00732121 193.33361190 0.11025791 0.00726430 194.84157638 0.10941787 0.00720826 196.34954085 0.10859048 0.00715307 197.85750532 0.10777543 0.00709872 199.36546980 0.10697245 0.00704520 200.87343427 0.10618129 0.00699247 202.50706245 0.10533723 0.00693623 204.01502692 0.10456986 0.00688511 205.64865510 0.10375099 0.00683057 207.15661958 0.10300635 0.00678099 208.79024776 0.10221156 0.00672809 210.42387594 0.10142888 0.00667600 212.05750412 0.10065804 0.00662471 213.69113230 0.09989876 0.00657420 215.32476048 0.09915080 0.00652446 216.95838866 0.09841390 0.00647546 218.59201684 0.09768782 0.00642719 220.35130872 0.09691771 0.00637600 221.98493690 0.09621336 0.00632920 223.74422879 0.09546612 0.00627956 225.50352067 0.09473036 0.00623068 227.26281256 0.09400579 0.00618257 229.02210445 0.09329217 0.00613519 230.78139633 0.09258926 0.00608853 232.54068822 0.09189681 0.00604257 234.29998010 0.09121459 0.00599730 236.18493570 0.09049475 0.00594955 237.94422758 0.08983303 0.00590565 239.82918318 0.08913465 0.00585934 241.71413877 0.08844700 0.00581375 243.47343065 0.08781466 0.00577183 245.35838625 0.08714707 0.00572758 247.24334184 0.08648950 0.00568400 249.25396114 0.08579891 0.00563825 251.13891673 0.08516138 0.00559601