# omega total a= 1 L= 2 0.06283185 0.14782894 0.02737763 0.18849556 0.26412560 0.01869493 0.31415927 0.41379389 0.03118759 0.43982297 0.56083646 0.04493850 0.56548668 0.69693720 0.05564162 0.69115038 0.82088022 0.06306264 0.81681409 0.93742219 0.07035659 0.94247780 1.04821284 0.07862210 1.06814150 1.14897074 0.08537654 1.19380521 1.24019728 0.09097086 1.31946891 1.32351422 0.09630499 1.44513262 1.39853827 0.10098451 1.57079633 1.46548853 0.10496898 1.69646003 1.52506854 0.10847940 1.82212374 1.57775576 0.11156948 1.94778745 1.62401860 0.11427737 2.07345115 1.66434966 0.11664606 2.19911486 1.69918443 0.11868228 2.32477856 1.72894968 0.12039579 2.45044227 1.75409439 0.12182065 2.57610598 1.77506707 0.12300311 2.70176968 1.79228350 0.12398346 2.82743339 1.80611347 0.12478775 2.95309709 1.81689085 0.12543401 3.07876080 1.82492714 0.12594093 3.20442451 1.83051498 0.12632956 3.33008821 1.83392355 0.12661925 3.45575192 1.83539280 0.12682317 3.58141563 1.83513312 0.12694762 3.70707933 1.83332998 0.12699469 3.83274304 1.83015106 0.12696633 3.95840674 1.82575079 0.12686672 4.08407045 1.82027251 0.12670280 4.20973416 1.81384806 0.12648298 4.33539786 1.80659661 0.12621534 4.46106157 1.79862421 0.12590642 4.58672527 1.79002407 0.12556062 4.71238898 1.78087822 0.12518072 4.83805269 1.77125910 0.12476840 4.96371639 1.76123147 0.12432513 5.08938010 1.75085364 0.12385250 5.21504380 1.74017819 0.12335236 5.34070751 1.72925284 0.12282696 5.46637122 1.71812066 0.12227870 5.59203492 1.70682032 0.12170999 5.71769863 1.69538643 0.12112317 5.84336234 1.68384968 0.12052029 5.96902604 1.67223744 0.11990330 6.09468975 1.66057382 0.11927381 6.22035345 1.64888036 0.11863345 6.34601716 1.63717619 0.11798367 6.47168087 1.62547833 0.11732591 6.59734457 1.61380192 0.11666148 6.72300828 1.60216046 0.11599168 6.84867198 1.59056587 0.11531767 6.97433569 1.57902871 0.11464056 7.09999940 1.56755807 0.11396119 7.22566310 1.55616201 0.11328042 7.35132681 1.54484752 0.11259898 7.47699052 1.53362060 0.11191748 7.60265422 1.52248634 0.11123643 7.72831793 1.51144897 0.11055621 7.85398163 1.50051211 0.10987716 7.97964534 1.48967863 0.10919955 8.10530905 1.47895097 0.10852364 8.23097275 1.46833105 0.10784965 8.35663646 1.45782040 0.10717784 8.48230016 1.44742023 0.10650847 8.60796387 1.43713140 0.10584177 8.73362758 1.42695466 0.10517812 8.85929128 1.41689032 0.10451771 8.98495499 1.40693866 0.10386088 9.11061870 1.39709963 0.10320788 9.23628240 1.38737302 0.10255892 9.36194611 1.37775851 0.10191423 9.48760981 1.36825538 0.10127381 9.61327352 1.35886306 0.10063785 9.73893723 1.34958048 0.10000624 9.86460093 1.34040681 0.09937906 9.99026464 1.33134092 0.09875624 10.11592834 1.32238160 0.09813770 10.24159205 1.31352761 0.09752331 10.36725576 1.30477775 0.09691307 10.49291946 1.29613058 0.09630680 10.61858317 1.28758479 0.09570442 10.74424688 1.27913910 0.09510594 10.86991058 1.27079212 0.09451127 10.99557429 1.26254250 0.09392039 11.12123799 1.25438897 0.09333332 11.24690170 1.24633015 0.09275006 11.37256541 1.23836479 0.09217066 11.49822911 1.23049158 0.09159517 11.62389282 1.22270930 0.09102368 11.74955652 1.21501665 0.09045622 11.87522023 1.20741249 0.08989297 12.00088394 1.19989551 0.08933392 12.12654764 1.19246457 0.08877924 12.25221135 1.18511842 0.08822896 12.37787506 1.17785586 0.08768315 12.50353876 1.17067571 0.08714190 12.62920247 1.16357675 0.08660521 12.75486617 1.15655786 0.08607319 12.88052988 1.14961775 0.08554578 13.00619359 1.14275528 0.08502303 13.13185729 1.13596929 0.08450494 13.25752100 1.12925856 0.08399146 13.38318470 1.12262200 0.08348264 13.50884841 1.11605843 0.08297841 13.63451212 1.10956671 0.08247875 13.76017582 1.10314574 0.08198362 13.88583953 1.09679445 0.08149302 14.01150324 1.09051171 0.08100688 14.13716694 1.08429650 0.08052517 14.26283065 1.07814780 0.08004789 14.38849435 1.07206456 0.07957498 14.51415806 1.06604586 0.07910647 14.63982177 1.06009062 0.07864225 14.76548547 1.05419802 0.07818240 14.89114918 1.04836696 0.07772675 15.01681288 1.04259669 0.07727542 15.14247659 1.03688617 0.07682827 15.26814030 1.03123458 0.07638532 15.39380400 1.02564108 0.07594657 15.51946771 1.02010476 0.07551194 15.64513141 1.01462481 0.07508142 15.77079512 1.00920036 0.07465496 15.89645883 1.00383070 0.07423257 16.02212253 0.99851485 0.07381410 16.14778624 0.99325219 0.07339962 16.27344995 0.98804184 0.07298902 16.39911365 0.98288313 0.07258233 16.52477736 0.97777520 0.07217940 16.65044106 0.97271743 0.07178031 16.77610477 0.96770904 0.07138494 16.90176848 0.96274933 0.07099327 17.02743218 0.95783757 0.07060522 17.15309589 0.95297316 0.07022081 17.27875959 0.94815533 0.06983993 17.40442330 0.94338351 0.06946260 17.53008701 0.93865702 0.06908876 17.65575071 0.93397521 0.06871835 17.78141442 0.92933747 0.06835134 17.90707813 0.92474320 0.06798769 18.03274183 0.92019180 0.06762737 18.15840554 0.91568264 0.06727032 18.28406924 0.91121520 0.06691652 18.40973295 0.90678888 0.06656593 18.53539666 0.90240311 0.06621849 18.66106036 0.89805738 0.06587418 18.78672407 0.89375111 0.06553297 18.91238777 0.88948380 0.06519480 19.03805148 0.88525490 0.06485963 19.16371519 0.88106393 0.06452745 19.28937889 0.87691036 0.06419820 19.41504260 0.87279372 0.06387186 19.54070631 0.86871351 0.06354837 19.66637001 0.86466927 0.06322773 19.79203372 0.86066051 0.06290987 19.91769742 0.85668678 0.06259476 20.04336113 0.85274765 0.06228239 20.16902484 0.84884262 0.06197270 20.29468854 0.84497131 0.06166566 20.42035225 0.84113326 0.06136125 20.54601595 0.83732806 0.06105942 20.67167966 0.83355529 0.06076015 20.79734337 0.82981453 0.06046339 20.92300707 0.82610540 0.06016912 21.04867078 0.82242749 0.05987731 21.17433449 0.81878042 0.05958792 21.29999819 0.81516382 0.05930094 21.42566190 0.81157728 0.05901631 21.55132560 0.80802046 0.05873401 21.67698931 0.80449302 0.05845404 21.80265302 0.80099455 0.05817633 21.92831672 0.79752473 0.05790087 22.05398043 0.79408322 0.05762764 22.17964413 0.79066969 0.05735662 22.30530784 0.78728380 0.05708779 22.43097155 0.78392522 0.05682109 22.55663525 0.78059366 0.05655656 22.68229896 0.77728876 0.05629412 22.80796267 0.77401027 0.05603379 22.93362637 0.77075784 0.05577553 23.05929008 0.76753121 0.05551934 23.18495378 0.76433008 0.05526519 23.31061749 0.76115416 0.05501308 23.43628120 0.75800316 0.05476297 23.56194490 0.75487683 0.05451487 23.68760861 0.75177488 0.05426875 23.81327231 0.74869705 0.05402459 23.93893602 0.74564309 0.05378242 24.06459973 0.74261272 0.05354217 24.19026343 0.73960571 0.05330388 24.31592714 0.73662178 0.05306749 24.44159084 0.73366071 0.05283302 24.56725455 0.73072224 0.05260044 24.69291826 0.72780613 0.05236975 24.81858196 0.72491216 0.05214092 24.94424567 0.72204008 0.05191396 25.06990938 0.71918966 0.05168884 25.19557308 0.71636068 0.05146556 25.44690049 0.71076611 0.05102442 25.57256420 0.70800010 0.05080655 25.82389161 0.70252949 0.05037609 25.94955532 0.69982446 0.05016348 26.20088273 0.69447395 0.04974345 26.32654644 0.69182803 0.04953597 26.57787385 0.68659389 0.04912604 26.82920126 0.68143531 0.04872268 26.95486497 0.67888387 0.04852342 27.20619238 0.67383573 0.04812966 27.45751979 0.66885932 0.04774211 27.58318350 0.66639754 0.04755062 27.83451091 0.66152598 0.04717215 28.08583832 0.65672252 0.04679953 28.21150203 0.65434591 0.04661539 28.46282944 0.64964205 0.04625131 28.71415685 0.64500290 0.04589277 28.96548427 0.64042718 0.04553961 29.09114797 0.63816270 0.04536502 29.34247538 0.63367975 0.04501971 29.59380280 0.62925713 0.04467949 29.84513021 0.62489364 0.04434422 30.09645762 0.62058814 0.04401380 30.34778503 0.61633950 0.04368812 30.47344874 0.61423615 0.04352701 30.72477615 0.61007076 0.04320823 30.97610356 0.60595955 0.04289392 31.22743098 0.60190150 0.04258399 31.47875839 0.59789560 0.04227834 31.73008580 0.59394089 0.04197688 31.98141321 0.59003640 0.04167952 32.23274063 0.58618123 0.04138619 32.48406804 0.58237446 0.04109679 32.73539545 0.57861521 0.04081124 32.98672286 0.57490262 0.04052948 33.23805027 0.57123587 0.04025142 33.48937769 0.56761411 0.03997700 33.74070510 0.56403657 0.03970614 33.99203251 0.56050245 0.03943878 34.24335992 0.55701099 0.03917485 34.49468734 0.55356144 0.03891429 34.74601475 0.55015309 0.03865702 34.99734216 0.54678522 0.03840301 35.37433328 0.54180779 0.03802793 35.62566069 0.53853810 0.03778176 35.87698810 0.53530652 0.03753863 36.12831552 0.53211241 0.03729849 36.37964293 0.52895513 0.03706129 36.75663405 0.52428696 0.03671087 37.00796146 0.52121912 0.03648078 37.25928887 0.51818602 0.03625345 37.51061628 0.51518710 0.03602883 37.88760740 0.51075158 0.03569688 38.13893481 0.50783568 0.03547884 38.39026223 0.50495204 0.03526334 38.76725335 0.50068597 0.03494480 39.01858076 0.49788078 0.03473551 39.39557188 0.49373003 0.03442606 39.64689929 0.49100019 0.03422271 39.89822670 0.48829967 0.03402167 40.27521782 0.48430287 0.03372435 40.52654523 0.48167367 0.03352891 40.90353635 0.47778178 0.03323983 41.15486376 0.47522118 0.03304978 41.53185488 0.47143022 0.03276861 41.78318229 0.46893563 0.03258373 42.16017341 0.46524182 0.03231017 42.53716453 0.46160457 0.03204102 42.78849194 0.45921052 0.03186400 43.16548306 0.45566474 0.03160200 43.41681047 0.45333056 0.03142964 43.79380159 0.44987291 0.03117450 44.17079271 0.44646662 0.03092336 44.54778383 0.44311057 0.03067612 44.79911124 0.44090058 0.03051342 45.17610236 0.43762588 0.03027249 45.55309348 0.43439860 0.03003524 45.93008460 0.43121774 0.02980158 46.18141201 0.42912248 0.02964777 46.55840313 0.42601685 0.02941993 46.93539424 0.42295510 0.02919548 47.31238536 0.41993633 0.02897434 47.68937648 0.41695965 0.02875645 48.06636760 0.41402421 0.02854173 48.44335872 0.41112917 0.02833012 48.82034984 0.40827372 0.02812156 49.19734096 0.40545707 0.02791597 49.57433207 0.40267843 0.02771330 49.95132319 0.39993707 0.02751349 50.32831431 0.39723224 0.02731647 50.70530543 0.39456324 0.02712220 51.08229655 0.39192937 0.02693061 51.45928767 0.38932994 0.02674166 51.83627878 0.38676431 0.02655528 52.33893361 0.38339491 0.02631070 52.71592473 0.38090563 0.02613015 53.09291585 0.37844805 0.02595200 53.46990696 0.37602158 0.02577622 53.97256179 0.37283367 0.02554545 54.34955291 0.37047756 0.02537502 54.72654403 0.36815067 0.02520680 55.22919885 0.36509270 0.02498589 55.60618997 0.36283196 0.02482268 55.98318109 0.36059872 0.02466155 56.48583591 0.35766299 0.02444989 56.86282703 0.35549202 0.02429347 57.36548185 0.35263761 0.02408794 57.74247297 0.35052636 0.02393602 58.24512780 0.34774996 0.02373638 58.62211892 0.34569603 0.02358878 59.12477374 0.34299451 0.02339477 59.62742857 0.34033445 0.02320387 60.00441968 0.33836604 0.02306270 60.50707451 0.33577628 0.02287708 61.00972933 0.33322546 0.02269438 61.38672045 0.33133738 0.02255923 61.88937528 0.32885264 0.02238148 62.39203010 0.32640452 0.02220646 62.89468492 0.32399223 0.02203413 63.39733975 0.32161499 0.02186441 63.89999457 0.31927206 0.02169725 64.40264940 0.31696268 0.02153259 64.77964052 0.31525225 0.02141070 65.28229534 0.31299993 0.02125029 65.78495017 0.31077925 0.02109223 66.41326870 0.30804693 0.02089790 66.91592352 0.30589512 0.02074496 67.41857835 0.30377288 0.02059421 67.92123317 0.30167962 0.02044561 68.42388800 0.29961476 0.02029911 68.92654282 0.29757773 0.02015468 69.42919764 0.29556796 0.02001226 70.05751618 0.29309327 0.01983700 70.56017100 0.29114290 0.01969897 71.06282582 0.28921809 0.01956283 71.69114435 0.28684726 0.01939524 72.19379918 0.28497817 0.01926320 72.82211771 0.28267548 0.01910063 73.32477253 0.28085973 0.01897252 73.95309107 0.27862230 0.01881475 74.45574589 0.27685765 0.01869039 75.08406442 0.27468275 0.01853721 75.58671925 0.27296708 0.01841645 76.21503778 0.27085214 0.01826766 76.84335631 0.26876944 0.01812124 77.34601113 0.26712602 0.01800577 77.97432966 0.26509955 0.01786346 78.60264819 0.26310334 0.01772336 79.23096672 0.26113672 0.01758543 79.85928525 0.25919904 0.01744960 80.36194008 0.25766931 0.01734243 80.99025861 0.25578214 0.01721029 81.61857714 0.25392218 0.01708012 82.24689567 0.25208885 0.01695190 82.87521420 0.25028159 0.01682557 83.62919644 0.24814652 0.01667641 84.25751497 0.24639469 0.01655411 84.88583350 0.24466721 0.01643357 85.51415203 0.24296359 0.01631476 86.14247056 0.24128334 0.01619764 86.89645280 0.23929721 0.01605929 87.52477133 0.23766670 0.01594577 88.15308986 0.23605808 0.01583383 88.90707210 0.23415601 0.01570155 89.53539063 0.23259402 0.01559298 90.28937286 0.23074670 0.01546465 90.91769139 0.22922934 0.01535930 91.67167363 0.22743443 0.01523474 92.42565587 0.22566719 0.01511218 93.05397440 0.22421515 0.01501153 93.80795664 0.22249698 0.01489249 94.56193887 0.22080473 0.01477531 95.19025740 0.21941389 0.01467906 95.94423964 0.21776766 0.01456518 96.69822188 0.21614574 0.01445305 97.45220411 0.21454760 0.01434262 98.20618635 0.21297272 0.01423385 98.96016859 0.21142061 0.01412671 99.71415082 0.20989077 0.01402117 100.46813306 0.20838272 0.01391718 101.34777900 0.20665027 0.01379778 102.10176124 0.20518789 0.01369704 102.85574348 0.20374589 0.01359776 103.60972572 0.20232385 0.01349990 104.48937166 0.20068948 0.01338749 105.24335390 0.19930929 0.01329261 106.12299984 0.19772267 0.01318359 106.87698208 0.19638252 0.01309155 107.75662802 0.19484160 0.01298578 108.51061025 0.19353977 0.01289646 109.39025620 0.19204260 0.01279378 110.26990214 0.19056823 0.01269272 111.14954808 0.18911613 0.01259324 111.90353032 0.18788884 0.01250920 112.78317626 0.18647681 0.01241255 113.66282221 0.18508567 0.01231737 114.54246815 0.18371496 0.01222364 115.42211409 0.18236424 0.01213131 116.30176004 0.18103308 0.01204037 117.18140598 0.17972105 0.01195077 118.18671563 0.17824449 0.01184998 119.06636157 0.17697211 0.01176318 119.94600751 0.17571761 0.01167763 120.95131716 0.17430532 0.01158136 121.83096311 0.17308792 0.01149841 122.83627276 0.17171708 0.01140505 123.71591870 0.17053515 0.01132460 124.72122835 0.16920398 0.01123402 125.60087429 0.16805600 0.01115594 126.60618394 0.16676280 0.01106802 127.61149359 0.16548919 0.01098147 128.61680324 0.16423473 0.01089625 129.62211289 0.16299900 0.01081235 130.62742254 0.16178158 0.01072972 131.63273219 0.16058207 0.01064835 132.63804183 0.15940007 0.01056819 133.64335148 0.15823522 0.01048923 134.64866113 0.15708713 0.01041143 135.65397078 0.15595545 0.01033478 136.78494414 0.15470150 0.01024988 137.79025379 0.15360355 0.01017557 138.92122714 0.15238670 0.01009324 139.92653679 0.15132101 0.01002118 141.05751015 0.15013964 0.00994131 142.06281980 0.14910480 0.00987138 143.19379315 0.14795740 0.00979388 144.32476651 0.14682739 0.00971757 145.45573986 0.14571438 0.00964245 146.58671322 0.14461799 0.00956847 147.71768657 0.14353786 0.00949562 148.84865993 0.14247363 0.00942386 149.97963328 0.14142495 0.00935318 151.11060664 0.14039148 0.00928355 152.24157999 0.13937289 0.00921494 153.49821705 0.13825820 0.00913989 154.62919041 0.13727001 0.00907338 155.88582747 0.13618834 0.00900060 157.01680083 0.13522921 0.00893609 158.27343789 0.13417912 0.00886548 159.53007495 0.13314510 0.00879598 160.66104830 0.13222791 0.00873435 161.91768537 0.13122343 0.00866688 163.17432243 0.13023399 0.00860043 164.43095949 0.12925925 0.00853500 165.68759655 0.12829890 0.00847056 167.06989732 0.12725876 0.00840078 168.32653438 0.12632761 0.00833833 169.58317144 0.12540989 0.00827680 170.96547221 0.12441558 0.00821016 172.22210927 0.12352515 0.00815050 173.60441004 0.12256020 0.00808586 174.86104710 0.12169588 0.00802799 176.24334787 0.12075900 0.00796527 177.62564863 0.11983635 0.00790352 179.00794940 0.11892761 0.00784272 180.39025017 0.11803246 0.00778285 181.77255094 0.11715060 0.00772388 183.15485170 0.11628174 0.00766580 184.66281618 0.11534839 0.00760342 186.04511695 0.11450580 0.00754713 187.42741771 0.11367536 0.00749166 188.93538219 0.11278297 0.00743207 190.31768295 0.11197710 0.00737827 191.82564743 0.11111093 0.00732046 193.33361190 0.11025798 0.00726355 194.84157638 0.10941794 0.00720752 196.34954085 0.10859054 0.00715234 197.85750532 0.10777549 0.00709800 199.36546980 0.10697252 0.00704447 200.87343427 0.10618136 0.00699175 202.50706245 0.10533729 0.00693551 204.01502692 0.10456992 0.00688440 205.64865510 0.10375104 0.00682987 207.15661958 0.10300640 0.00678030 208.79024776 0.10221162 0.00672739 210.42387594 0.10142894 0.00667531 212.05750412 0.10065809 0.00662403 213.69113230 0.09989882 0.00657352 215.32476048 0.09915085 0.00652378 216.95838866 0.09841395 0.00647479 218.59201684 0.09768787 0.00642653 220.35130872 0.09691776 0.00637535 221.98493690 0.09621340 0.00632855 223.74422879 0.09546617 0.00627891 225.50352067 0.09473040 0.00623004 227.26281256 0.09400583 0.00618193 229.02210445 0.09329221 0.00613455 230.78139633 0.09258930 0.00608790 232.54068822 0.09189685 0.00604195 234.29998010 0.09121463 0.00599668 236.18493570 0.09049479 0.00594893 237.94422758 0.08983307 0.00590504 239.82918318 0.08913469 0.00585874 241.71413877 0.08844704 0.00581315 243.47343065 0.08781470 0.00577123 245.35838625 0.08714710 0.00572699 247.24334184 0.08648954 0.00568342 249.25396114 0.08579895 0.00563766 251.13891673 0.08516142 0.00559544