# omega total a= 1 L= 2 0.06283185 0.14760099 0.00664078 0.18849556 0.32351776 0.01726400 0.31415927 0.49018337 0.02739575 0.43982297 0.64730410 0.03685014 0.56548668 0.79460791 0.04554206 0.69115038 0.93167213 0.05346626 0.81681409 1.05819570 0.06067316 0.94247780 1.17406252 0.06722981 1.06814150 1.27932787 0.07319163 1.19380521 1.37419356 0.07859269 1.31946891 1.45898800 0.08345036 1.44513262 1.53415362 0.08777896 1.57079633 1.60023679 0.09160513 1.69646003 1.65786842 0.09497490 1.82212374 1.70773071 0.09794874 1.94778745 1.75051687 0.10058885 2.07345115 1.78689599 0.10294703 2.19911486 1.81749053 0.10505818 2.32477856 1.84286895 0.10694142 2.45044227 1.86354943 0.10860625 2.57610598 1.88000929 0.11006064 2.70176968 1.89269392 0.11131721 2.82743339 1.90202106 0.11239526 2.95309709 1.90837944 0.11331839 3.07876080 1.91212385 0.11410961 3.20442451 1.91357069 0.11478695 3.33008821 1.91299687 0.11536160 3.45575192 1.91064316 0.11583903 3.58141563 1.90672057 0.11622208 3.70707933 1.90141753 0.11651434 3.83274304 1.89490551 0.11672222 3.95840674 1.88734174 0.11685491 4.08407045 1.87886903 0.11692256 4.20973416 1.86961459 0.11693397 4.33539786 1.85968907 0.11689492 4.46106157 1.84918735 0.11680798 4.58672527 1.83819096 0.11667361 4.71238898 1.82677130 0.11649188 4.83805269 1.81499285 0.11626412 4.96371639 1.80291532 0.11599371 5.08938010 1.79059452 0.11568597 5.21504380 1.77808209 0.11534732 5.34070751 1.76542476 0.11498416 5.46637122 1.75266369 0.11460196 5.59203492 1.73983424 0.11420475 5.71769863 1.72696625 0.11379508 5.84336234 1.71408465 0.11337420 5.96902604 1.70121030 0.11294251 6.09468975 1.68836062 0.11249980 6.22035345 1.67555030 0.11204553 6.34601716 1.66279185 0.11157912 6.47168087 1.65009593 0.11109995 6.59734457 1.63747188 0.11060765 6.72300828 1.62492796 0.11010212 6.84867198 1.61247166 0.10958362 6.97433569 1.60010996 0.10905288 7.09999940 1.58784936 0.10851101 7.22566310 1.57569590 0.10795942 7.35132681 1.56365512 0.10739973 7.47699052 1.55173191 0.10683358 7.60265422 1.53993051 0.10626254 7.72831793 1.52825442 0.10568803 7.85398163 1.51670636 0.10511121 7.97964534 1.50528834 0.10453301 8.10530905 1.49400171 0.10395414 8.23097275 1.48284727 0.10337510 8.35663646 1.47182532 0.10279624 8.48230016 1.46093579 0.10221780 8.60796387 1.45017830 0.10163996 8.73362758 1.43955227 0.10106290 8.85929128 1.42905692 0.10048677 8.98495499 1.41869136 0.09991175 9.11061870 1.40845464 0.09933807 9.23628240 1.39834573 0.09876598 9.36194611 1.38836354 0.09819577 9.48760981 1.37850694 0.09762774 9.61327352 1.36877470 0.09706217 9.73893723 1.35916560 0.09649936 9.86460093 1.34967823 0.09593952 9.99026464 1.34031119 0.09538287 10.11592834 1.33106298 0.09482959 10.24159205 1.32193196 0.09427972 10.36725576 1.31291647 0.09373334 10.49291946 1.30401471 0.09319039 10.61858317 1.29522487 0.09265080 10.74424688 1.28654509 0.09211450 10.86991058 1.27797346 0.09158134 10.99557429 1.26950807 0.09105119 11.12123799 1.26114704 0.09052393 11.24690170 1.25288848 0.08999941 11.37256541 1.24473055 0.08947754 11.49822911 1.23667150 0.08895828 11.62389282 1.22870958 0.08844156 11.74955652 1.22084314 0.08792740 11.87522023 1.21307061 0.08741585 12.00088394 1.20539039 0.08690693 12.12654764 1.19780104 0.08640076 12.25221135 1.19030114 0.08589745 12.37787506 1.18288929 0.08539712 12.50353876 1.17556415 0.08489990 12.62920247 1.16832444 0.08440595 12.75486617 1.16116885 0.08391537 12.88052988 1.15409611 0.08342831 13.00619359 1.14710500 0.08294487 13.13185729 1.14019425 0.08246515 13.25752100 1.13336265 0.08198923 13.38318470 1.12660903 0.08151722 13.50884841 1.11993213 0.08104912 13.63451212 1.11333075 0.08058499 13.76017582 1.10680372 0.08012485 13.88583953 1.10034985 0.07966870 14.01150324 1.09396792 0.07921650 14.13716694 1.08765681 0.07876827 14.26283065 1.08141535 0.07832397 14.38849435 1.07524240 0.07788355 14.51415806 1.06913682 0.07744696 14.63982177 1.06309753 0.07701416 14.76548547 1.05712340 0.07658509 14.89114918 1.05121339 0.07615969 15.01681288 1.04536645 0.07573792 15.14247659 1.03958149 0.07531968 15.26814030 1.03385756 0.07490496 15.39380400 1.02819369 0.07449370 15.51946771 1.02258888 0.07408586 15.64513141 1.01704221 0.07368137 15.77079512 1.01155277 0.07328023 15.89645883 1.00611967 0.07288237 16.02212253 1.00074203 0.07248778 16.14778624 0.99541900 0.07209642 16.27344995 0.99014980 0.07170830 16.39911365 0.98493360 0.07132337 16.52477736 0.97976961 0.07094163 16.65044106 0.97465709 0.07056307 16.77610477 0.96959528 0.07018766 16.90176848 0.96458345 0.06981542 17.02743218 0.95962087 0.06944630 17.15309589 0.95470688 0.06908033 17.27875959 0.94984077 0.06871748 17.40442330 0.94502187 0.06835774 17.53008701 0.94024951 0.06800110 17.65575071 0.93552305 0.06764755 17.78141442 0.93084186 0.06729707 17.90707813 0.92620530 0.06694965 18.03274183 0.92161275 0.06660526 18.15840554 0.91706362 0.06626389 18.28406924 0.91255728 0.06592551 18.40973295 0.90809318 0.06559011 18.53539666 0.90367071 0.06525764 18.66106036 0.89928930 0.06492810 18.78672407 0.89494841 0.06460144 18.91238777 0.89064746 0.06427764 19.03805148 0.88638593 0.06395667 19.16371519 0.88216327 0.06363850 19.28937889 0.87797895 0.06332309 19.41504260 0.87383245 0.06301041 19.54070631 0.86972327 0.06270042 19.66637001 0.86565089 0.06239310 19.79203372 0.86161483 0.06208840 19.91769742 0.85761461 0.06178629 20.04336113 0.85364973 0.06148674 20.16902484 0.84971972 0.06118970 20.29468854 0.84582413 0.06089514 20.42035225 0.84196249 0.06060302 20.54601595 0.83813435 0.06031331 20.67167966 0.83433928 0.06002597 20.79734337 0.83057685 0.05974096 20.92300707 0.82684662 0.05945826 21.04867078 0.82314817 0.05917780 21.17433449 0.81948110 0.05889959 21.29999819 0.81584500 0.05862357 21.42566190 0.81223947 0.05834971 21.55132560 0.80866413 0.05807799 21.67698931 0.80511860 0.05780837 21.80265302 0.80160250 0.05754082 21.92831672 0.79811546 0.05727532 22.05398043 0.79465713 0.05701185 22.17964413 0.79122715 0.05675037 22.30530784 0.78782519 0.05649086 22.43097155 0.78445089 0.05623331 22.55663525 0.78110394 0.05597770 22.68229896 0.77778401 0.05572400 22.80796267 0.77449079 0.05547221 22.93362637 0.77122395 0.05522229 23.05929008 0.76798320 0.05497425 23.18495378 0.76476825 0.05472807 23.31061749 0.76157879 0.05448373 23.43628120 0.75841453 0.05424122 23.56194490 0.75527521 0.05400055 23.68760861 0.75216053 0.05376169 23.81327231 0.74907024 0.05352463 23.93893602 0.74600406 0.05328937 24.06459973 0.74296172 0.05305590 24.19026343 0.73994298 0.05282422 24.31592714 0.73694758 0.05259431 24.44159084 0.73397525 0.05236616 24.56725455 0.73102577 0.05213978 24.69291826 0.72809888 0.05191515 24.81858196 0.72519434 0.05169226 24.94424567 0.72231192 0.05147110 25.06990938 0.71945138 0.05125167 25.19557308 0.71661249 0.05103395 25.44690049 0.71099875 0.05060363 25.57256420 0.70822344 0.05039100 25.82389161 0.70273487 0.04997075 25.94955532 0.70002117 0.04976310 26.20088273 0.69465386 0.04935271 26.32654644 0.69199982 0.04914993 26.57787385 0.68674999 0.04874916 26.82920126 0.68157643 0.04835465 26.95486497 0.67901775 0.04815971 27.20619238 0.67395565 0.04777437 27.45751979 0.66896591 0.04739499 27.58318350 0.66649772 0.04720750 27.83451091 0.66161374 0.04683682 28.08583832 0.65679847 0.04647177 28.21150203 0.65441615 0.04629132 28.46282944 0.64970129 0.04593449 28.71415685 0.64505167 0.04558298 28.96548427 0.64046597 0.04523667 29.09114797 0.63819669 0.04506542 29.34247538 0.63370446 0.04472667 29.59380280 0.62927301 0.04439283 29.84513021 0.62490111 0.04406376 30.09645762 0.62058761 0.04373938 30.34778503 0.61633135 0.04341956 30.47344874 0.61422434 0.04326134 30.72477615 0.61005188 0.04294819 30.97610356 0.60593394 0.04263937 31.22743098 0.60186949 0.04233478 31.47875839 0.59785750 0.04203433 31.73008580 0.59389699 0.04173793 31.98141321 0.58998699 0.04144550 32.23274063 0.58612658 0.04115697 32.48406804 0.58231482 0.04087224 32.73539545 0.57855084 0.04059125 32.98672286 0.57483376 0.04031392 33.23805027 0.57116272 0.04004018 33.48937769 0.56753690 0.03976997 33.74070510 0.56395550 0.03950321 33.99203251 0.56041771 0.03923985 34.24335992 0.55692278 0.03897981 34.49468734 0.55346994 0.03872304 34.74601475 0.55005846 0.03846947 34.99734216 0.54668762 0.03821906 35.37433328 0.54170604 0.03784923 35.62566069 0.53843376 0.03760644 35.87698810 0.53519973 0.03736662 36.12831552 0.53200331 0.03712970 36.37964293 0.52884385 0.03689564 36.75663405 0.52417262 0.03654979 37.00796146 0.52110289 0.03632266 37.25928887 0.51806802 0.03609821 37.51061628 0.51506742 0.03587640 37.88760740 0.51062957 0.03554855 38.13893481 0.50771223 0.03533316 38.39026223 0.50482725 0.03512026 38.76725335 0.50055932 0.03480549 39.01858076 0.49775299 0.03459863 39.39557188 0.49360068 0.03429275 39.64689929 0.49086989 0.03409170 39.89822670 0.48816849 0.03389290 40.27521782 0.48417049 0.03359887 40.52654523 0.48154057 0.03340555 40.90353635 0.47764771 0.03311958 41.15486376 0.47508653 0.03293153 41.53185488 0.47129481 0.03265330 41.78318229 0.46879976 0.03247032 42.16017341 0.46510538 0.03219953 42.53716453 0.46146764 0.03193307 42.78849194 0.45907333 0.03175779 43.16548306 0.45552722 0.03149833 43.41681047 0.45319286 0.03132762 43.79380159 0.44973502 0.03107489 44.17079271 0.44632862 0.03082609 44.54778383 0.44297252 0.03058111 44.79911124 0.44076254 0.03041988 45.17610236 0.43748790 0.03018110 45.55309348 0.43426074 0.02994593 45.93008460 0.43108006 0.02971430 46.18141201 0.42898495 0.02956180 46.55840313 0.42587958 0.02933588 46.93539424 0.42281814 0.02911329 47.31238536 0.41979971 0.02889396 47.68937648 0.41682343 0.02867782 48.06636760 0.41388841 0.02846481 48.44335872 0.41099384 0.02825486 48.82034984 0.40813888 0.02804790 49.19734096 0.40532275 0.02784388 49.57433207 0.40254467 0.02764273 49.95132319 0.39980388 0.02744439 50.32831431 0.39709966 0.02724881 50.70530543 0.39443128 0.02705593 51.08229655 0.39179805 0.02686570 51.45928767 0.38919929 0.02667807 51.83627878 0.38663434 0.02649297 52.33893361 0.38326587 0.02625005 52.71592473 0.38077731 0.02607070 53.09291585 0.37832046 0.02589373 53.46990696 0.37589473 0.02571909 53.97256179 0.37270783 0.02548980 54.34955291 0.37035247 0.02532044 54.72654403 0.36802636 0.02515326 55.22919885 0.36496943 0.02493370 55.60618997 0.36270948 0.02477148 55.98318109 0.36047704 0.02461131 56.48583591 0.35754238 0.02440089 56.86282703 0.35537221 0.02424537 57.36548185 0.35251887 0.02404102 57.74247297 0.35040844 0.02388995 58.24512780 0.34763312 0.02369141 58.62211892 0.34558002 0.02354462 59.12477374 0.34287959 0.02335165 59.62742857 0.34022062 0.02316176 60.00441968 0.33825303 0.02302133 60.50707451 0.33566436 0.02283667 61.00972933 0.33311463 0.02265489 61.38672045 0.33122736 0.02252042 61.88937528 0.32874370 0.02234354 62.39203010 0.32629667 0.02216938 62.89468492 0.32388546 0.02199787 63.39733975 0.32150929 0.02182895 63.89999457 0.31916742 0.02166256 64.40264940 0.31685911 0.02149866 64.77964052 0.31514947 0.02137732 65.28229534 0.31289819 0.02121762 65.78495017 0.31067856 0.02106026 66.41326870 0.30794753 0.02086676 66.91592352 0.30579674 0.02071447 67.41857835 0.30367552 0.02056435 67.92123317 0.30158328 0.02041637 68.42388800 0.29951942 0.02027047 68.92654282 0.29748338 0.02012661 69.42919764 0.29547460 0.01998476 70.05751618 0.29300113 0.01981019 70.56017100 0.29105173 0.01967269 71.06282582 0.28912787 0.01953706 71.69114435 0.28675823 0.01937010 72.19379918 0.28489008 0.01923854 72.82211771 0.28258855 0.01907656 73.32477253 0.28077371 0.01894891 73.95309107 0.27853742 0.01879169 74.45574589 0.27677366 0.01866777 75.08406442 0.27459987 0.01851511 75.58671925 0.27288507 0.01839475 76.21503778 0.27077122 0.01824646 76.84335631 0.26868959 0.01810052 77.34601113 0.26704701 0.01798542 77.97432966 0.26502158 0.01784356 78.60264819 0.26302640 0.01770391 79.23096672 0.26106080 0.01756639 79.85928525 0.25912412 0.01743098 80.36194008 0.25759517 0.01732413 80.99025861 0.25570898 0.01719238 81.61857714 0.25384998 0.01706259 82.24689567 0.25201761 0.01693474 82.87521420 0.25021128 0.01680876 83.62919644 0.24807731 0.01666003 84.25751497 0.24632638 0.01653806 84.88583350 0.24459980 0.01641784 85.51415203 0.24289706 0.01629935 86.14247056 0.24121768 0.01618254 86.89645280 0.23923257 0.01604454 87.52477133 0.23760290 0.01593132 88.15308986 0.23599511 0.01581966 88.90707210 0.23409402 0.01568771 89.53539063 0.23253283 0.01557940 90.28937286 0.23068645 0.01545138 90.91769139 0.22916987 0.01534628 91.67167363 0.22737588 0.01522201 92.42565587 0.22560953 0.01509973 93.05397440 0.22415823 0.01499931 93.80795664 0.22244093 0.01488054 94.56193887 0.22074953 0.01476362 95.19025740 0.21935940 0.01466757 95.94423964 0.21771399 0.01455394 96.69822188 0.21609288 0.01444205 97.45220411 0.21449554 0.01433185 98.20618635 0.21292145 0.01422330 98.96016859 0.21137011 0.01411638 99.71415082 0.20984102 0.01401105 100.46813306 0.20833372 0.01390726 101.34777900 0.20660213 0.01378809 102.10176124 0.20514046 0.01368755 102.85574348 0.20369916 0.01358846 103.60972572 0.20227781 0.01349078 104.48937166 0.20064424 0.01337857 105.24335390 0.19926471 0.01328386 106.12299984 0.19767885 0.01317504 106.87698208 0.19633934 0.01308316 107.75662802 0.19479915 0.01297757 108.51061025 0.19349794 0.01288840 109.39025620 0.19200147 0.01278590 110.26990214 0.19052779 0.01268500 111.14954808 0.18907638 0.01258568 111.90353032 0.18784965 0.01250177 112.78317626 0.18643827 0.01240528 113.66282221 0.18504777 0.01231025 114.54246815 0.18367769 0.01221666 115.42211409 0.18232759 0.01212448 116.30176004 0.18099702 0.01203367 117.18140598 0.17968558 0.01194420 118.18671563 0.17820969 0.01184356 119.06636157 0.17693786 0.01175688 119.94600751 0.17568392 0.01167145 120.95131716 0.17427225 0.01157532 121.83096311 0.17305537 0.01149249 122.83627276 0.17168513 0.01139925 123.71591870 0.17050371 0.01131890 124.72122835 0.16917311 0.01122844 125.60087429 0.16802562 0.01115046 126.60618394 0.16673296 0.01106266 127.61149359 0.16545988 0.01097621 128.61680324 0.16420595 0.01089111 129.62211289 0.16297073 0.01080731 130.62742254 0.16175381 0.01072478 131.63273219 0.16055478 0.01064350 132.63804183 0.15937326 0.01056344 133.64335148 0.15820887 0.01048457 134.64866113 0.15706124 0.01040686 135.65397078 0.15593001 0.01033029 136.78494414 0.15467655 0.01024549 137.79025379 0.15357903 0.01017126 138.92122714 0.15236265 0.01008902 139.92653679 0.15129736 0.01001703 141.05751015 0.15011644 0.00993725 142.06281980 0.14908199 0.00986740 143.19379315 0.14793502 0.00978997 144.32476651 0.14680543 0.00971374 145.45573986 0.14569283 0.00963869 146.58671322 0.14459684 0.00956478 147.71768657 0.14351710 0.00949200 148.84865993 0.14245325 0.00942031 149.97963328 0.14140494 0.00934970 151.11060664 0.14037183 0.00928013 152.24157999 0.13935360 0.00921159 153.49821705 0.13823930 0.00913660 154.62919041 0.13725145 0.00907015 155.88582747 0.13617015 0.00899744 157.01680083 0.13521134 0.00893298 158.27343789 0.13416159 0.00886243 159.53007495 0.13312791 0.00879299 160.66104830 0.13221103 0.00873141 161.91768537 0.13120687 0.00866399 163.17432243 0.13021775 0.00859761 164.43095949 0.12924332 0.00853223 165.68759655 0.12828328 0.00846783 167.06989732 0.12724346 0.00839811 168.32653438 0.12631259 0.00833571 169.58317144 0.12539515 0.00827423 170.96547221 0.12440114 0.00820763 172.22210927 0.12351099 0.00814802 173.60441004 0.12254632 0.00808343 174.86104710 0.12168225 0.00802559 176.24334787 0.12074565 0.00796292 177.62564863 0.11982327 0.00790121 179.00794940 0.11891478 0.00784046 180.39025017 0.11801988 0.00778062 181.77255094 0.11713827 0.00772170 183.15485170 0.11626965 0.00766365 184.66281618 0.11533655 0.00760132 186.04511695 0.11449419 0.00754506 187.42741771 0.11366397 0.00748963 188.93538219 0.11277182 0.00743007 190.31768295 0.11196616 0.00737631 191.82564743 0.11110021 0.00731854 193.33361190 0.11024748 0.00726166 194.84157638 0.10940766 0.00720566 196.34954085 0.10858047 0.00715051 197.85750532 0.10776562 0.00709620 199.36546980 0.10696284 0.00704271 200.87343427 0.10617187 0.00699001 202.50706245 0.10532801 0.00693381 204.01502692 0.10456081 0.00688273 205.64865510 0.10374213 0.00682823 207.15661958 0.10299766 0.00677868 208.79024776 0.10220306 0.00672580 210.42387594 0.10142056 0.00667375 212.05750412 0.10064988 0.00662249 213.69113230 0.09989078 0.00657201 215.32476048 0.09914297 0.00652230 216.95838866 0.09840623 0.00647333 218.59201684 0.09768030 0.00642509 220.35130872 0.09691036 0.00637393 221.98493690 0.09620615 0.00632716 223.74422879 0.09545907 0.00627754 225.50352067 0.09472345 0.00622870 227.26281256 0.09399903 0.00618061 229.02210445 0.09328555 0.00613325 230.78139633 0.09258277 0.00608662 232.54068822 0.09189045 0.00604069 234.29998010 0.09120837 0.00599544 236.18493570 0.09048866 0.00594771 237.94422758 0.08982706 0.00590384 239.82918318 0.08912881 0.00585755 241.71413877 0.08844129 0.00581198 243.47343065 0.08780906 0.00577009 245.35838625 0.08714158 0.00572586 247.24334184 0.08648414 0.00568231 249.25396114 0.08579366 0.00563657 251.13891673 0.08515624 0.00559436