# omega total a= 1 L= 2 0.06283185 0.22213277 0.07066765 0.18849556 0.30868072 0.04714675 0.31415927 0.45060095 0.05705062 0.43982297 0.57893417 0.06173095 0.56548668 0.70684687 0.06932018 0.69115038 0.82868395 0.07701543 0.81681409 0.94309814 0.08435938 0.94247780 1.04840530 0.09051356 1.06814150 1.14516633 0.09591090 1.19380521 1.23406859 0.10097308 1.31946891 1.31486699 0.10548247 1.44513262 1.38772369 0.10940176 1.57079633 1.45305804 0.11281706 1.69646003 1.51137439 0.11583575 1.82212374 1.56316316 0.11853707 1.94778745 1.60882004 0.12092898 2.07345115 1.64867555 0.12296983 2.19911486 1.68313668 0.12466666 2.32477856 1.71269809 0.12608747 2.45044227 1.73782767 0.12728775 2.57610598 1.75892103 0.12828444 2.70176968 1.77633444 0.12908391 2.82743339 1.79041270 0.12970307 2.95309709 1.80148722 0.13016644 3.07876080 1.80986458 0.13049632 3.20442451 1.81582208 0.13070903 3.33008821 1.81961031 0.13081690 3.45575192 1.82145792 0.13083139 3.58141563 1.82157432 0.13076397 3.70707933 1.82015043 0.13062522 3.83274304 1.81735844 0.13042352 3.95840674 1.81335240 0.13016466 4.08407045 1.80827016 0.12985271 4.20973416 1.80223592 0.12949132 4.33539786 1.79536232 0.12908448 4.46106157 1.78775156 0.12863654 4.58672527 1.77949597 0.12815185 4.71238898 1.77067884 0.12763469 4.83805269 1.76137548 0.12708940 4.96371639 1.75165424 0.12652049 5.08938010 1.74157707 0.12593249 5.21504380 1.73119985 0.12532968 5.34070751 1.72057218 0.12471546 5.46637122 1.70973765 0.12409214 5.59203492 1.69873398 0.12346074 5.71769863 1.68759372 0.12282123 5.84336234 1.67634492 0.12217279 5.96902604 1.66501208 0.12151437 6.09468975 1.65361693 0.12084504 6.22035345 1.64217948 0.12016462 6.34601716 1.63071826 0.11947369 6.47168087 1.61925072 0.11877366 6.59734457 1.60779336 0.11806667 6.72300828 1.59636143 0.11735517 6.84867198 1.58496868 0.11664160 6.97433569 1.57362733 0.11592815 7.09999940 1.56234778 0.11521646 7.22566310 1.55113879 0.11450766 7.35132681 1.54000730 0.11380213 7.47699052 1.52895899 0.11309989 7.60265422 1.51799827 0.11240053 7.72831793 1.50712869 0.11170349 7.85398163 1.49635311 0.11100816 7.97964534 1.48567392 0.11031401 8.10530905 1.47509331 0.10962078 8.23097275 1.46461319 0.10892839 8.35663646 1.45423541 0.10823705 8.48230016 1.44396164 0.10754718 8.60796387 1.43379343 0.10685936 8.73362758 1.42373205 0.10617423 8.85929128 1.41377857 0.10549246 8.98495499 1.40393366 0.10481459 9.11061870 1.39419786 0.10414124 9.23628240 1.38457111 0.10347263 9.36194611 1.37505320 0.10280899 9.48760981 1.36564344 0.10215023 9.61327352 1.35634099 0.10149623 9.73893723 1.34714476 0.10084674 9.86460093 1.33805351 0.10020141 9.99026464 1.32906595 0.09955993 10.11592834 1.32018063 0.09892188 10.24159205 1.31139636 0.09828713 10.36725576 1.30271171 0.09765537 10.49291946 1.29412554 0.09702656 10.61858317 1.28563670 0.09640070 10.74424688 1.27724410 0.09577788 10.86991058 1.26894677 0.09515829 10.99557429 1.26074379 0.09454217 11.12123799 1.25263425 0.09392983 11.24690170 1.24461725 0.09332155 11.37256541 1.23669194 0.09271769 11.49822911 1.22885735 0.09211850 11.62389282 1.22111265 0.09152434 11.74955652 1.21345677 0.09093538 11.87522023 1.20588878 0.09035187 12.00088394 1.19840756 0.08977394 12.12654764 1.19101206 0.08920172 12.25221135 1.18370110 0.08863526 12.37787506 1.17647358 0.08807464 12.50353876 1.16932828 0.08751982 12.62920247 1.16226400 0.08697080 12.75486617 1.15527950 0.08642751 12.88052988 1.14837360 0.08588992 13.00619359 1.14154505 0.08535792 13.13185729 1.13479270 0.08483150 13.25752100 1.12811523 0.08431045 13.38318470 1.12151153 0.08379476 13.50884841 1.11498040 0.08328432 13.63451212 1.10852068 0.08277903 13.76017582 1.10213119 0.08227877 13.88583953 1.09581086 0.08178349 14.01150324 1.08955846 0.08129300 14.13716694 1.08337303 0.08080731 14.26283065 1.07725339 0.08032624 14.38849435 1.07119853 0.07984974 14.51415806 1.06520744 0.07937774 14.63982177 1.05927912 0.07891016 14.76548547 1.05341255 0.07844689 14.89114918 1.04760682 0.07798791 15.01681288 1.04186098 0.07753314 15.14247659 1.03617406 0.07708249 15.26814030 1.03054525 0.07663596 15.39380400 1.02497365 0.07619347 15.51946771 1.01945843 0.07575501 15.64513141 1.01399875 0.07532052 15.77079512 1.00859381 0.07488998 15.89645883 1.00324284 0.07446336 16.02212253 0.99794508 0.07404064 16.14778624 0.99269973 0.07362179 16.27344995 0.98750610 0.07320678 16.39911365 0.98236344 0.07279559 16.52477736 0.97727106 0.07238820 16.65044106 0.97222821 0.07198455 16.77610477 0.96723426 0.07158466 16.90176848 0.96228856 0.07118853 17.02743218 0.95739032 0.07079602 17.15309589 0.95253904 0.07040722 17.27875959 0.94773399 0.07002203 17.40442330 0.94297455 0.06964045 17.53008701 0.93826014 0.06926247 17.65575071 0.93359007 0.06888799 17.78141442 0.92896381 0.06851703 17.90707813 0.92438077 0.06814956 18.03274183 0.91984027 0.06778549 18.15840554 0.91534182 0.06742482 18.28406924 0.91088487 0.06706754 18.40973295 0.90646879 0.06671357 18.53539666 0.90209310 0.06636289 18.66106036 0.89775725 0.06601548 18.78672407 0.89346065 0.06567124 18.91238777 0.88920283 0.06533018 19.03805148 0.88498328 0.06499227 19.16371519 0.88080145 0.06465743 19.28937889 0.87665688 0.06432564 19.41504260 0.87254909 0.06399687 19.54070631 0.86847756 0.06367106 19.66637001 0.86444182 0.06334817 19.79203372 0.86044145 0.06302818 19.91769742 0.85647593 0.06271103 20.04336113 0.85254483 0.06239668 20.16902484 0.84864770 0.06208508 20.29468854 0.84478412 0.06177622 20.42035225 0.84095361 0.06147002 20.54601595 0.83715581 0.06116647 20.67167966 0.83339026 0.06086552 20.79734337 0.82965656 0.06056712 20.92300707 0.82595431 0.06027125 21.04867078 0.82228312 0.05997787 21.17433449 0.81864258 0.05968693 21.29999819 0.81503231 0.05939840 21.42566190 0.81145197 0.05911227 21.55132560 0.80790115 0.05882846 21.67698931 0.80437953 0.05854699 21.80265302 0.80088669 0.05826777 21.92831672 0.79742237 0.05799084 22.05398043 0.79398616 0.05771612 22.17964413 0.79057778 0.05744362 22.30530784 0.78719686 0.05717328 22.43097155 0.78384312 0.05690513 22.55663525 0.78051620 0.05663910 22.68229896 0.77721585 0.05637520 22.80796267 0.77394171 0.05611339 22.93362637 0.77069354 0.05585368 23.05929008 0.76747100 0.05559603 23.18495378 0.76427384 0.05534043 23.31061749 0.76110179 0.05508689 23.43628120 0.75795452 0.05483535 23.56194490 0.75483181 0.05458584 23.68760861 0.75173338 0.05433833 23.81327231 0.74865898 0.05409281 23.93893602 0.74560833 0.05384927 24.06459973 0.74258119 0.05360770 24.19026343 0.73957731 0.05336809 24.31592714 0.73659646 0.05313042 24.44159084 0.73363836 0.05289468 24.56725455 0.73070280 0.05266087 24.69291826 0.72778954 0.05242897 24.81858196 0.72489834 0.05219896 24.94424567 0.72202895 0.05197083 25.06990938 0.71918119 0.05174459 25.19557308 0.71635480 0.05152020 25.44690049 0.71076524 0.05107693 25.57256420 0.70800165 0.05085804 25.82389161 0.70253574 0.05042562 25.94955532 0.69983301 0.05021208 26.20088273 0.69448692 0.04979022 26.32654644 0.69184316 0.04958188 26.57787385 0.68661319 0.04917029 26.82920126 0.68145863 0.04876535 26.95486497 0.67890915 0.04856534 27.20619238 0.67386480 0.04817012 27.45751979 0.66889204 0.04778120 27.58318350 0.66643206 0.04758907 27.83451091 0.66156394 0.04720932 28.08583832 0.65676381 0.04683550 28.21150203 0.65438880 0.04665077 28.46282944 0.64968807 0.04628558 28.71415685 0.64505193 0.04592597 28.96548427 0.64047909 0.04557180 29.09114797 0.63821601 0.04539672 29.34247538 0.63373576 0.04505046 29.59380280 0.62931575 0.04470934 29.84513021 0.62495475 0.04437320 30.09645762 0.62065163 0.04404194 30.34778503 0.61640527 0.04371545 30.47344874 0.61430303 0.04355396 30.72477615 0.61013977 0.04323442 30.97610356 0.60603060 0.04291938 31.22743098 0.60197450 0.04260874 31.47875839 0.59797046 0.04230241 31.73008580 0.59401752 0.04200029 31.98141321 0.59011472 0.04170230 32.23274063 0.58626116 0.04140835 32.48406804 0.58245593 0.04111836 32.73539545 0.57869815 0.04083225 32.98672286 0.57498696 0.04054993 33.23805027 0.57132152 0.04027133 33.48937769 0.56770103 0.03999639 33.74070510 0.56412468 0.03972503 33.99203251 0.56059170 0.03945718 34.24335992 0.55710131 0.03919277 34.49468734 0.55365280 0.03893175 34.74601475 0.55024541 0.03867404 34.99734216 0.54687845 0.03841958 35.37433328 0.54190230 0.03804388 35.62566069 0.53863341 0.03779731 35.87698810 0.53540258 0.03755379 36.12831552 0.53220918 0.03731327 36.37964293 0.52905257 0.03707569 36.75663405 0.52438532 0.03672474 37.00796146 0.52131805 0.03649430 37.25928887 0.51828549 0.03626663 37.51061628 0.51528707 0.03604169 37.88760740 0.51085224 0.03570926 38.13893481 0.50793675 0.03549091 38.39026223 0.50505351 0.03527513 38.76725335 0.50078797 0.03495615 39.01858076 0.49798309 0.03474658 39.39557188 0.49383277 0.03443673 39.64689929 0.49110320 0.03423312 39.89822670 0.48840291 0.03403182 40.27521782 0.48440642 0.03373413 40.52654523 0.48177740 0.03353846 40.90353635 0.47788574 0.03324903 41.15486376 0.47532527 0.03305876 41.53185488 0.47153447 0.03277727 41.78318229 0.46903996 0.03259218 42.16017341 0.46534626 0.03231831 42.53716453 0.46170906 0.03204887 42.78849194 0.45931504 0.03187166 43.16548306 0.45576927 0.03160938 43.41681047 0.45343507 0.03143684 43.79380159 0.44997739 0.03118144 44.17079271 0.44657104 0.03093005 44.54778383 0.44321489 0.03068257 44.79911124 0.44100483 0.03051971 45.17610236 0.43773000 0.03027856 45.55309348 0.43450257 0.03004109 45.93008460 0.43132154 0.02980722 46.18141201 0.42922616 0.02965327 46.55840313 0.42612033 0.02942523 46.93539424 0.42305836 0.02920058 47.31238536 0.42003936 0.02897926 47.68937648 0.41706243 0.02876118 48.06636760 0.41412673 0.02854629 48.44335872 0.41123142 0.02833452 48.82034984 0.40837568 0.02812579 49.19734096 0.40555873 0.02792004 49.57433207 0.40277978 0.02771722 49.95132319 0.40003810 0.02751726 50.32831431 0.39733295 0.02732010 50.70530543 0.39466362 0.02712569 51.08229655 0.39202940 0.02693397 51.45928767 0.38942963 0.02674488 51.83627878 0.38686364 0.02655838 52.33893361 0.38349375 0.02631364 52.71592473 0.38100411 0.02613297 53.09291585 0.37854615 0.02595471 53.46990696 0.37611930 0.02577882 53.97256179 0.37293088 0.02554791 54.34955291 0.37057438 0.02537737 54.72654403 0.36824710 0.02520906 55.22919885 0.36518860 0.02498801 55.60618997 0.36292747 0.02482472 55.98318109 0.36069383 0.02466350 56.48583591 0.35775756 0.02445172 56.86282703 0.35558619 0.02429522 57.36548185 0.35273123 0.02408958 57.74247297 0.35061958 0.02393759 58.24512780 0.34784262 0.02373784 58.62211892 0.34578829 0.02359017 59.12477374 0.34308623 0.02339606 59.62742857 0.34042561 0.02320508 60.00441968 0.33845679 0.02306384 60.50707451 0.33586648 0.02287814 61.00972933 0.33331512 0.02269536 61.38672045 0.33142663 0.02256015 61.88937528 0.32894134 0.02238232 62.39203010 0.32649268 0.02220723 62.89468492 0.32407985 0.02203483 63.39733975 0.32170207 0.02186504 63.89999457 0.31935859 0.02169782 64.40264940 0.31704868 0.02153309 64.77964052 0.31533785 0.02141116 65.28229534 0.31308499 0.02125069 65.78495017 0.31086379 0.02109258 66.41326870 0.30813081 0.02089818 66.91592352 0.30597847 0.02074518 67.41857835 0.30385571 0.02059438 67.92123317 0.30176194 0.02044574 68.42388800 0.29969656 0.02029919 68.92654282 0.29765901 0.02015471 69.42919764 0.29564874 0.02001225 70.05751618 0.29317342 0.01983694 70.56017100 0.29122255 0.01969887 71.06282582 0.28929724 0.01956269 71.69114435 0.28692580 0.01939506 72.19379918 0.28505622 0.01926298 72.82211771 0.28275293 0.01910037 73.32477253 0.28093669 0.01897222 73.95309107 0.27869867 0.01881441 74.45574589 0.27693354 0.01869002 75.08406442 0.27475806 0.01853681 75.58671925 0.27304192 0.01841602 76.21503778 0.27092641 0.01826720 76.84335631 0.26884315 0.01812075 77.34601113 0.26719928 0.01800525 77.97432966 0.26517225 0.01786291 78.60264819 0.26317549 0.01772278 79.23096672 0.26120833 0.01758482 79.85928525 0.25927011 0.01744897 80.36194008 0.25773995 0.01734177 80.99025861 0.25585225 0.01720961 81.61857714 0.25399177 0.01707942 82.24689567 0.25215792 0.01695117 82.87521420 0.25035015 0.01682482 83.62919644 0.24821447 0.01667564 84.25751497 0.24646214 0.01655332 84.88583350 0.24473417 0.01643276 85.51415203 0.24303007 0.01631393 86.14247056 0.24134933 0.01619680 86.89645280 0.23936263 0.01605842 87.52477133 0.23773165 0.01594489 88.15308986 0.23612257 0.01583294 88.90707210 0.23421995 0.01570064 89.53539063 0.23265750 0.01559206 90.28937286 0.23080964 0.01546371 90.91769139 0.22929184 0.01535835 91.67167363 0.22749641 0.01523378 92.42565587 0.22572865 0.01511120 93.05397440 0.22427619 0.01501054 93.80795664 0.22255751 0.01489149 94.56193887 0.22086476 0.01477430 95.19025740 0.21947352 0.01467804 95.94423964 0.21782680 0.01456415 96.69822188 0.21620440 0.01445201 97.45220411 0.21460579 0.01434157 98.20618635 0.21303045 0.01423280 98.96016859 0.21147787 0.01412565 99.71415082 0.20994758 0.01402010 100.46813306 0.20843909 0.01391610 101.34777900 0.20670613 0.01379669 102.10176124 0.20524331 0.01369595 102.85574348 0.20380088 0.01359667 103.60972572 0.20237842 0.01349880 104.48937166 0.20074356 0.01338638 105.24335390 0.19936296 0.01329150 106.12299984 0.19777588 0.01318247 106.87698208 0.19643532 0.01309043 107.75662802 0.19489394 0.01298465 108.51061025 0.19359172 0.01289533 109.39025620 0.19209411 0.01279265 110.26990214 0.19061930 0.01269159 111.14954808 0.18916678 0.01259210 111.90353032 0.18793911 0.01250806 112.78317626 0.18652666 0.01241140 113.66282221 0.18513511 0.01231623 114.54246815 0.18376400 0.01222249 115.42211409 0.18241288 0.01213017 116.30176004 0.18108132 0.01203922 117.18140598 0.17976890 0.01194962 118.18671563 0.17829190 0.01184884 119.06636157 0.17701914 0.01176203 119.94600751 0.17576427 0.01167648 120.95131716 0.17435156 0.01158021 121.83096311 0.17313379 0.01149726 122.83627276 0.17176255 0.01140391 123.71591870 0.17058027 0.01132345 124.72122835 0.16924871 0.01123287 125.60087429 0.16810039 0.01115479 126.60618394 0.16680680 0.01106687 127.61149359 0.16553282 0.01098032 128.61680324 0.16427799 0.01089511 129.62211289 0.16304190 0.01081121 130.62742254 0.16182412 0.01072858 131.63273219 0.16062425 0.01064721 132.63804183 0.15944191 0.01056705 133.64335148 0.15827671 0.01048809 134.64866113 0.15712828 0.01041030 135.65397078 0.15599627 0.01033365 136.78494414 0.15474195 0.01024875 137.79025379 0.15364368 0.01017445 138.92122714 0.15242648 0.01009212 139.92653679 0.15136047 0.01002006 141.05751015 0.15017876 0.00994020 142.06281980 0.14914362 0.00987027 143.19379315 0.14799588 0.00979277 144.32476651 0.14686554 0.00971647 145.45573986 0.14575221 0.00964135 146.58671322 0.14465551 0.00956737 147.71768657 0.14357506 0.00949452 148.84865993 0.14251052 0.00942277 149.97963328 0.14146153 0.00935209 151.11060664 0.14042777 0.00928246 152.24157999 0.13940889 0.00921386 153.49821705 0.13829388 0.00913881 154.62919041 0.13730540 0.00907230 155.88582747 0.13622342 0.00899953 157.01680083 0.13526401 0.00893502 158.27343789 0.13421362 0.00886442 159.53007495 0.13317930 0.00879492 160.66104830 0.13226186 0.00873330 161.91768537 0.13125709 0.00866583 163.17432243 0.13026736 0.00859939 164.43095949 0.12929235 0.00853397 165.68759655 0.12833173 0.00846952 167.06989732 0.12729129 0.00839975 168.32653438 0.12635987 0.00833731 169.58317144 0.12544190 0.00827578 170.96547221 0.12444730 0.00820915 172.22210927 0.12355663 0.00814949 173.60441004 0.12259140 0.00808486 174.86104710 0.12172684 0.00802699 176.24334787 0.12078970 0.00796427 177.62564863 0.11986679 0.00790253 179.00794940 0.11895779 0.00784174 180.39025017 0.11806239 0.00778187 181.77255094 0.11718028 0.00772291 183.15485170 0.11631118 0.00766483 184.66281618 0.11537757 0.00760246 186.04511695 0.11453475 0.00754617 187.42741771 0.11370408 0.00749071 188.93538219 0.11281144 0.00743112 190.31768295 0.11200535 0.00737733 191.82564743 0.11113894 0.00731952 193.33361190 0.11028575 0.00726262 194.84157638 0.10944548 0.00720659 196.34954085 0.10861785 0.00715141 197.85750532 0.10780258 0.00709708 199.36546980 0.10699938 0.00704356 200.87343427 0.10620800 0.00699084 202.50706245 0.10536371 0.00693461 204.01502692 0.10459612 0.00688350 205.64865510 0.10377703 0.00682898 207.15661958 0.10303219 0.00677941 208.79024776 0.10223718 0.00672651 210.42387594 0.10145429 0.00667443 212.05750412 0.10068324 0.00662315 213.69113230 0.09992375 0.00657265 215.32476048 0.09917559 0.00652292 216.95838866 0.09843849 0.00647393 218.59201684 0.09771221 0.00642567 220.35130872 0.09694189 0.00637450 221.98493690 0.09623734 0.00632770 223.74422879 0.09548991 0.00627807 225.50352067 0.09475394 0.00622921 227.26281256 0.09402918 0.00618110 229.02210445 0.09331537 0.00613373 230.78139633 0.09261227 0.00608708 232.54068822 0.09191963 0.00604113 234.29998010 0.09123723 0.00599588 236.18493570 0.09051720 0.00594813 237.94422758 0.08985530 0.00590425 239.82918318 0.08915674 0.00585794 241.71413877 0.08846890 0.00581236 243.47343065 0.08783639 0.00577045 245.35838625 0.08716862 0.00572621 247.24334184 0.08651089 0.00568264 249.25396114 0.08582011 0.00563690 251.13891673 0.08518241 0.00559467