# omega total a= 1 L= 2 0.06283185 0.13860519 0.00661823 0.18849556 0.31257053 0.01721116 0.31415927 0.47702015 0.02740410 0.43982297 0.63236426 0.03702398 0.56548668 0.77827111 0.04595666 0.69115038 0.91426619 0.05414111 0.81681409 1.03998149 0.06156899 0.94247780 1.15524704 0.06827087 1.06814150 1.26010005 0.07430052 1.19380521 1.35475732 0.07971991 1.31946891 1.43957692 0.08458846 1.44513262 1.51502076 0.08895754 1.57079633 1.58162313 0.09286972 1.69646003 1.63996533 0.09636098 1.82212374 1.69065476 0.09946354 1.94778745 1.73430754 0.10220822 2.07345115 1.77153418 0.10462580 2.19911486 1.80292746 0.10674689 2.32477856 1.82905316 0.10860132 2.45044227 1.85044347 0.11021710 2.57610598 1.86759299 0.11161980 2.70176968 1.88095734 0.11283241 2.82743339 1.89095317 0.11387539 2.95309709 1.89795935 0.11476704 3.07876080 1.90231860 0.11552372 3.20442451 1.90433946 0.11615987 3.33008821 1.90429827 0.11668802 3.45575192 1.90244151 0.11711869 3.58141563 1.89898836 0.11746049 3.70707933 1.89413338 0.11772032 3.83274304 1.88804940 0.11790381 3.95840674 1.88089035 0.11801578 4.08407045 1.87279366 0.11806076 4.20973416 1.86388254 0.11804331 4.33539786 1.85426761 0.11796826 4.46106157 1.84404833 0.11784075 4.58672527 1.83331392 0.11766611 4.71238898 1.82214427 0.11744969 4.83805269 1.81061052 0.11719658 4.96371639 1.79877571 0.11691143 5.08938010 1.78669536 0.11659822 5.21504380 1.77441807 0.11626020 5.34070751 1.76198619 0.11589979 5.46637122 1.74943643 0.11551867 5.59203492 1.73680069 0.11511795 5.71769863 1.72410667 0.11469832 5.84336234 1.71137865 0.11426029 5.96902604 1.69863809 0.11380440 6.09468975 1.68590416 0.11333141 6.22035345 1.67319414 0.11284239 6.34601716 1.66052368 0.11233868 6.47168087 1.64790700 0.11182192 6.59734457 1.63535685 0.11129389 6.72300828 1.62288462 0.11075640 6.84867198 1.61050028 0.11021115 6.97433569 1.59821241 0.10965966 7.09999940 1.58602825 0.10910321 7.22566310 1.57395378 0.10854277 7.35132681 1.56199380 0.10797907 7.47699052 1.55015211 0.10741260 7.60265422 1.53843161 0.10684365 7.72831793 1.52683450 0.10627239 7.85398163 1.51536235 0.10569892 7.97964534 1.50401626 0.10512329 8.10530905 1.49279697 0.10454558 8.23097275 1.48170495 0.10396589 8.35663646 1.47074043 0.10338441 8.48230016 1.45990350 0.10280138 8.60796387 1.44919411 0.10221713 8.73362758 1.43861207 0.10163204 8.85929128 1.42815713 0.10104658 8.98495499 1.41782892 0.10046126 9.11061870 1.40762691 0.09987657 9.23628240 1.39755051 0.09929303 9.36194611 1.38759896 0.09871116 9.48760981 1.37777139 0.09813140 9.61327352 1.36806675 0.09755415 9.73893723 1.35848388 0.09697974 9.86460093 1.34902145 0.09640842 9.99026464 1.33967801 0.09584035 10.11592834 1.33045199 0.09527562 10.24159205 1.32134174 0.09471427 10.36725576 1.31234549 0.09415625 10.49291946 1.30346146 0.09360150 10.61858317 1.29468782 0.09304992 10.74424688 1.28602273 0.09250141 10.86991058 1.27746437 0.09195585 10.99557429 1.26901096 0.09141319 11.12123799 1.26066074 0.09087335 11.24690170 1.25241203 0.09033632 11.37256541 1.24426317 0.08980212 11.49822911 1.23621260 0.08927078 11.62389282 1.22825878 0.08874239 11.74955652 1.22040024 0.08821706 11.87522023 1.21263556 0.08769492 12.00088394 1.20496333 0.08717610 12.12654764 1.19738220 0.08666076 12.25221135 1.18989083 0.08614905 12.37787506 1.18248791 0.08564113 12.50353876 1.17517213 0.08513710 12.62920247 1.16794218 0.08463711 12.75486617 1.16079677 0.08414124 12.88052988 1.15373461 0.08364958 13.00619359 1.14675440 0.08316218 13.13185729 1.13985483 0.08267907 13.25752100 1.13303463 0.08220026 13.38318470 1.12629249 0.08172575 13.50884841 1.11962712 0.08125551 13.63451212 1.11303723 0.08078950 13.76017582 1.10652157 0.08032766 13.88583953 1.10007888 0.07986993 14.01150324 1.09370790 0.07941624 14.13716694 1.08740742 0.07896653 14.26283065 1.08117625 0.07852071 14.38849435 1.07501322 0.07807872 14.51415806 1.06891715 0.07764047 14.63982177 1.06288694 0.07720591 14.76548547 1.05692149 0.07677497 14.89114918 1.05101975 0.07634761 15.01681288 1.04518066 0.07592375 15.14247659 1.03940322 0.07550337 15.26814030 1.03368644 0.07508642 15.39380400 1.02802936 0.07467285 15.51946771 1.02243103 0.07426265 15.64513141 1.01689057 0.07385578 15.77079512 1.01140708 0.07345224 15.89645883 1.00597968 0.07305199 16.02212253 1.00060755 0.07265501 16.14778624 0.99528985 0.07226130 16.27344995 0.99002577 0.07187083 16.39911365 0.98481451 0.07148360 16.52477736 0.97965533 0.07109959 16.65044106 0.97454743 0.07071879 16.77610477 0.96949009 0.07034118 16.90176848 0.96448258 0.06996674 17.02743218 0.95952419 0.06959548 17.15309589 0.95461420 0.06922737 17.27875959 0.94975193 0.06886238 17.40442330 0.94493670 0.06850051 17.53008701 0.94016786 0.06814174 17.65575071 0.93544473 0.06778603 17.78141442 0.93076668 0.06743339 17.90707813 0.92613310 0.06708377 18.03274183 0.92154335 0.06673717 18.15840554 0.91699683 0.06639356 18.28406924 0.91249293 0.06605290 18.40973295 0.90803108 0.06571518 18.53539666 0.90361070 0.06538039 18.66106036 0.89923122 0.06504847 18.78672407 0.89489210 0.06471942 18.91238777 0.89059277 0.06439321 19.03805148 0.88633271 0.06406981 19.16371519 0.88211140 0.06374919 19.28937889 0.87792830 0.06343133 19.41504260 0.87378293 0.06311619 19.54070631 0.86967476 0.06280376 19.66637001 0.86560332 0.06249400 19.79203372 0.86156812 0.06218688 19.91769742 0.85756868 0.06188238 20.04336113 0.85360454 0.06158046 20.16902484 0.84967523 0.06128110 20.29468854 0.84578030 0.06098426 20.42035225 0.84191930 0.06068991 20.54601595 0.83809179 0.06039802 20.67167966 0.83429734 0.06010856 20.79734337 0.83053553 0.05982149 20.92300707 0.82680592 0.05953679 21.04867078 0.82310812 0.05925442 21.17433449 0.81944171 0.05897435 21.29999819 0.81580630 0.05869655 21.42566190 0.81220149 0.05842099 21.55132560 0.80862689 0.05814764 21.67698931 0.80508214 0.05787646 21.80265302 0.80156685 0.05760744 21.92831672 0.79808066 0.05734053 22.05398043 0.79462321 0.05707573 22.17964413 0.79119416 0.05681299 22.30530784 0.78779315 0.05655230 22.43097155 0.78441985 0.05629364 22.55663525 0.78107392 0.05603697 22.68229896 0.77775504 0.05578229 22.80796267 0.77446290 0.05552956 22.93362637 0.77119717 0.05527879 23.05929008 0.76795756 0.05502994 23.18495378 0.76474375 0.05478299 23.31061749 0.76155546 0.05453795 23.43628120 0.75839239 0.05429479 23.56194490 0.75525427 0.05405350 23.68760861 0.75214080 0.05381406 23.81327231 0.74905172 0.05357647 23.93893602 0.74598675 0.05334071 24.06459973 0.74294564 0.05310677 24.19026343 0.73992811 0.05287464 24.31592714 0.73693391 0.05264431 24.44159084 0.73396279 0.05241578 24.56725455 0.73101449 0.05218902 24.69291826 0.72808878 0.05196403 24.81858196 0.72518540 0.05174080 24.94424567 0.72230413 0.05151932 25.06990938 0.71944471 0.05129957 25.19557308 0.71660693 0.05108155 25.44690049 0.71099533 0.05065064 25.57256420 0.70822107 0.05043772 25.82389161 0.70273449 0.05001691 25.94955532 0.70002174 0.04980898 26.20088273 0.69465627 0.04939803 26.32654644 0.69200311 0.04919498 26.57787385 0.68675494 0.04879363 26.82920126 0.68158294 0.04839854 26.95486497 0.67902500 0.04820330 27.20619238 0.67396428 0.04781736 27.45751979 0.66897583 0.04743737 27.58318350 0.66650824 0.04724956 27.83451091 0.66162540 0.04687824 28.08583832 0.65681116 0.04651254 28.21150203 0.65442933 0.04633176 28.46282944 0.64971537 0.04597426 28.71415685 0.64506658 0.04562207 28.96548427 0.64048163 0.04527506 29.09114797 0.63821269 0.04510347 29.34247538 0.63372112 0.04476402 29.59380280 0.62929025 0.04442948 29.84513021 0.62491888 0.04409972 30.09645762 0.62060586 0.04377464 30.34778503 0.61635003 0.04345414 30.47344874 0.61424322 0.04329557 30.72477615 0.61007113 0.04298174 30.97610356 0.60595352 0.04267225 31.22743098 0.60188936 0.04236699 31.47875839 0.59787764 0.04206589 31.73008580 0.59391736 0.04176885 31.98141321 0.59000758 0.04147579 32.23274063 0.58614735 0.04118663 32.48406804 0.58233577 0.04090130 32.73539545 0.57857193 0.04061971 32.98672286 0.57485497 0.04034180 33.23805027 0.57118405 0.04006750 33.48937769 0.56755833 0.03979673 33.74070510 0.56397701 0.03952943 33.99203251 0.56043929 0.03926554 34.24335992 0.55694442 0.03900498 34.49468734 0.55349162 0.03874771 34.74601475 0.55008018 0.03849366 34.99734216 0.54670937 0.03824277 35.37433328 0.54172781 0.03787224 35.62566069 0.53845554 0.03762901 35.87698810 0.53522151 0.03738875 36.12831552 0.53202508 0.03715141 36.37964293 0.52886561 0.03691693 36.75663405 0.52419434 0.03657049 37.00796146 0.52112459 0.03634296 37.25928887 0.51808968 0.03611814 37.51061628 0.51508904 0.03589597 37.88760740 0.51065112 0.03556758 38.13893481 0.50773373 0.03535184 38.39026223 0.50484870 0.03513861 38.76725335 0.50058069 0.03482335 39.01858076 0.49777429 0.03461618 39.39557188 0.49362188 0.03430983 39.64689929 0.49089102 0.03410849 39.89822670 0.48818955 0.03390941 40.27521782 0.48419144 0.03361495 40.52654523 0.48156144 0.03342136 40.90353635 0.47766846 0.03313499 41.15486376 0.47510719 0.03294669 41.53185488 0.47131534 0.03266808 41.78318229 0.46882021 0.03248486 42.16017341 0.46512569 0.03221372 42.53716453 0.46148781 0.03194693 42.78849194 0.45909341 0.03177142 43.16548306 0.45554715 0.03151164 43.41681047 0.45321270 0.03134073 43.79380159 0.44975472 0.03108770 44.17079271 0.44634816 0.03083860 44.54778383 0.44299192 0.03059334 44.79911124 0.44078183 0.03043193 45.17610236 0.43750704 0.03019288 45.55309348 0.43427973 0.02995745 45.93008460 0.43109890 0.02972557 46.18141201 0.42900369 0.02957290 46.55840313 0.42589816 0.02934674 46.93539424 0.42283656 0.02912393 47.31238536 0.41981798 0.02890437 47.68937648 0.41684154 0.02868802 48.06636760 0.41390637 0.02847480 48.44335872 0.41101164 0.02826464 48.82034984 0.40815653 0.02805749 49.19734096 0.40534024 0.02785327 49.57433207 0.40256201 0.02765194 49.95132319 0.39982107 0.02745342 50.32831431 0.39711669 0.02725766 50.70530543 0.39444816 0.02706461 51.08229655 0.39181478 0.02687422 51.45928767 0.38921587 0.02668642 51.83627878 0.38665076 0.02650117 52.33893361 0.38328209 0.02625805 52.71592473 0.38079338 0.02607855 53.09291585 0.37833639 0.02590143 53.46990696 0.37591051 0.02572666 53.97256179 0.37272341 0.02549719 54.34955291 0.37036791 0.02532769 54.72654403 0.36804166 0.02516039 55.22919885 0.36498454 0.02494067 55.60618997 0.36272445 0.02477833 55.98318109 0.36049186 0.02461804 56.48583591 0.35755702 0.02440747 56.86282703 0.35538672 0.02425184 57.36548185 0.35253320 0.02404735 57.74247297 0.35042263 0.02389618 58.24512780 0.34764714 0.02369750 58.62211892 0.34559390 0.02355061 59.12477374 0.34289330 0.02335752 59.62742857 0.34023416 0.02316751 60.00441968 0.33826644 0.02302699 60.50707451 0.33567760 0.02284221 61.00972933 0.33312770 0.02266032 61.38672045 0.33124031 0.02252576 61.88937528 0.32875650 0.02234878 62.39203010 0.32630930 0.02217452 62.89468492 0.32389793 0.02200290 63.39733975 0.32152161 0.02183389 63.89999457 0.31917958 0.02166741 64.40264940 0.31687112 0.02150341 64.77964052 0.31516137 0.02138201 65.28229534 0.31290995 0.02122223 65.78495017 0.31069017 0.02106478 66.41326870 0.30795897 0.02087118 66.91592352 0.30580803 0.02071881 67.41857835 0.30368668 0.02056862 67.92123317 0.30159430 0.02042056 68.42388800 0.29953030 0.02027458 68.92654282 0.29749413 0.02013066 69.42919764 0.29548521 0.01998873 70.05751618 0.29301158 0.01981408 70.56017100 0.29106205 0.01967651 71.06282582 0.28913807 0.01954082 71.69114435 0.28676828 0.01937378 72.19379918 0.28490000 0.01924217 72.82211771 0.28259833 0.01908012 73.32477253 0.28078337 0.01895241 73.95309107 0.27854693 0.01879512 74.45574589 0.27678306 0.01867114 75.08406442 0.27460913 0.01851842 75.58671925 0.27289422 0.01839802 76.21503778 0.27078023 0.01824967 76.84335631 0.26869847 0.01810367 77.34601113 0.26705578 0.01798852 77.97432966 0.26503023 0.01784661 78.60264819 0.26303492 0.01770689 79.23096672 0.26106919 0.01756933 79.85928525 0.25913239 0.01743387 80.36194008 0.25760335 0.01732697 80.99025861 0.25571703 0.01719517 81.61857714 0.25385792 0.01706534 82.24689567 0.25202543 0.01693744 82.87521420 0.25021899 0.01681142 83.62919644 0.24808489 0.01666263 84.25751497 0.24633385 0.01654062 84.88583350 0.24460717 0.01642037 85.51415203 0.24290432 0.01630183 86.14247056 0.24122483 0.01618499 86.89645280 0.23923961 0.01604694 87.52477133 0.23760984 0.01593368 88.15308986 0.23600195 0.01582199 88.90707210 0.23410074 0.01568999 89.53539063 0.23253946 0.01558165 90.28937286 0.23069297 0.01545359 90.91769139 0.22917630 0.01534846 91.67167363 0.22738220 0.01522416 92.42565587 0.22561575 0.01510184 93.05397440 0.22416437 0.01500138 93.80795664 0.22244697 0.01488258 94.56193887 0.22075547 0.01476563 95.19025740 0.21936526 0.01466955 95.94423964 0.21771975 0.01455589 96.69822188 0.21609855 0.01444396 97.45220411 0.21450112 0.01433373 98.20618635 0.21292694 0.01422516 98.96016859 0.21137551 0.01411821 99.71415082 0.20984634 0.01401285 100.46813306 0.20833896 0.01390904 101.34777900 0.20660726 0.01378984 102.10176124 0.20514552 0.01368927 102.85574348 0.20370414 0.01359015 103.60972572 0.20228272 0.01349245 104.48937166 0.20064905 0.01338022 105.24335390 0.19926945 0.01328548 106.12299984 0.19768351 0.01317663 106.87698208 0.19634392 0.01308473 107.75662802 0.19480365 0.01297911 108.51061025 0.19350237 0.01288993 109.39025620 0.19200583 0.01278740 110.26990214 0.19053207 0.01268649 111.14954808 0.18908058 0.01258714 111.90353032 0.18785379 0.01250321 112.78317626 0.18644234 0.01240670 113.66282221 0.18505177 0.01231165 114.54246815 0.18368162 0.01221804 115.42211409 0.18233145 0.01212584 116.30176004 0.18100082 0.01203501 117.18140598 0.17968932 0.01194552 118.18671563 0.17821335 0.01184487 119.06636157 0.17694146 0.01175816 119.94600751 0.17568746 0.01167272 120.95131716 0.17427572 0.01157656 121.83096311 0.17305879 0.01149372 122.83627276 0.17168848 0.01140047 123.71591870 0.17050701 0.01132010 124.72122835 0.16917634 0.01122962 125.60087429 0.16802880 0.01115163 126.60618394 0.16673608 0.01106380 127.61149359 0.16546295 0.01097735 128.61680324 0.16420896 0.01089223 129.62211289 0.16297368 0.01080841 130.62742254 0.16175671 0.01072587 131.63273219 0.16055763 0.01064457 132.63804183 0.15937606 0.01056450 133.64335148 0.15821162 0.01048561 134.64866113 0.15706394 0.01040789 135.65397078 0.15593266 0.01033131 136.78494414 0.15467915 0.01024649 137.79025379 0.15358158 0.01017225 138.92122714 0.15236515 0.01009000 139.92653679 0.15129982 0.01001800 141.05751015 0.15011886 0.00993821 142.06281980 0.14908436 0.00986834 143.19379315 0.14793734 0.00979090 144.32476651 0.14680771 0.00971466 145.45573986 0.14569507 0.00963960 146.58671322 0.14459904 0.00956568 147.71768657 0.14351926 0.00949288 148.84865993 0.14245536 0.00942119 149.97963328 0.14140701 0.00935056 151.11060664 0.14037387 0.00928098 152.24157999 0.13935560 0.00921243 153.49821705 0.13824126 0.00913743 154.62919041 0.13725337 0.00907097 155.88582747 0.13617203 0.00899825 157.01680083 0.13521318 0.00893378 158.27343789 0.13416340 0.00886322 159.53007495 0.13312969 0.00879377 160.66104830 0.13221277 0.00873219 161.91768537 0.13120858 0.00866476 163.17432243 0.13021942 0.00859836 164.43095949 0.12924497 0.00853297 165.68759655 0.12828489 0.00846857 167.06989732 0.12724504 0.00839883 168.32653438 0.12631414 0.00833643 169.58317144 0.12539667 0.00827494 170.96547221 0.12440263 0.00820834 172.22210927 0.12351245 0.00814871 173.60441004 0.12254775 0.00808412 174.86104710 0.12168365 0.00802627 176.24334787 0.12074702 0.00796359 177.62564863 0.11982461 0.00790188 179.00794940 0.11891610 0.00784111 180.39025017 0.11802118 0.00778127 181.77255094 0.11713954 0.00772234 183.15485170 0.11627089 0.00766429 184.66281618 0.11533777 0.00760194 186.04511695 0.11449538 0.00754568 187.42741771 0.11366514 0.00749024 188.93538219 0.11277297 0.00743068 190.31768295 0.11196729 0.00737691 191.82564743 0.11110131 0.00731913 193.33361190 0.11024856 0.00726224 194.84157638 0.10940871 0.00720624 196.34954085 0.10858150 0.00715108 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