# omega total a= 1 L= 2 0.06283185 0.42781462 0.17965311 0.18849556 0.51805763 0.16777912 0.31415927 0.62141884 0.16185435 0.43982297 0.73010931 0.16019261 0.56548668 0.83984122 0.16142676 0.69115038 0.94592731 0.16351380 0.81681409 1.04565702 0.16529972 0.94247780 1.13820406 0.16656388 1.06814150 1.22365818 0.16750295 1.19380521 1.30191437 0.16807243 1.31946891 1.37295858 0.16821569 1.44513262 1.43708692 0.16802352 1.57079633 1.49469300 0.16760622 1.69646003 1.54611002 0.16700669 1.82212374 1.59168402 0.16625321 1.94778745 1.63180763 0.16538687 2.07345115 1.66687591 0.16444037 2.19911486 1.69727019 0.16343473 2.32477856 1.72336398 0.16238762 2.45044227 1.74551806 0.16131288 2.57610598 1.76406675 0.16021398 2.70176968 1.77931494 0.15908502 2.82743339 1.79154905 0.15792035 2.95309709 1.80104669 0.15672230 3.07876080 1.80807553 0.15550040 3.20442451 1.81288581 0.15426547 3.33008821 1.81570524 0.15302504 3.45575192 1.81673924 0.15178298 3.58141563 1.81617481 0.15054196 3.70707933 1.81418457 0.14930607 3.83274304 1.81092879 0.14808172 3.95840674 1.80655546 0.14687668 4.08407045 1.80119907 0.14569809 4.20973416 1.79497915 0.14455025 4.33539786 1.78800014 0.14343362 4.46106157 1.78035229 0.14234484 4.58672527 1.77211376 0.14127775 4.71238898 1.76335314 0.14022498 4.83805269 1.75413166 0.13917928 4.96371639 1.74450511 0.13813471 5.08938010 1.73452508 0.13708719 5.21504380 1.72423970 0.13603474 5.34070751 1.71369391 0.13497716 5.46637122 1.70292959 0.13391570 5.59203492 1.69198526 0.13285238 5.71769863 1.68089615 0.13178971 5.84336234 1.66969419 0.13073028 5.96902604 1.65840810 0.12967661 6.09468975 1.64706378 0.12863116 6.22035345 1.63568452 0.12759635 6.34601716 1.62429112 0.12657433 6.47168087 1.61290221 0.12556712 6.59734457 1.60153409 0.12457626 6.72300828 1.59020083 0.12360273 6.84867198 1.57891438 0.12264691 6.97433569 1.56768474 0.12170858 7.09999940 1.55652007 0.12078696 7.22566310 1.54542712 0.11988094 7.35132681 1.53441147 0.11898927 7.47699052 1.52347771 0.11811058 7.60265422 1.51262988 0.11724374 7.72831793 1.50187139 0.11638769 7.85398163 1.49120528 0.11554163 7.97964534 1.48063419 0.11470491 8.10530905 1.47016049 0.11387710 8.23097275 1.45978613 0.11305782 8.35663646 1.44951276 0.11224678 8.48230016 1.43934173 0.11144374 8.60796387 1.42927398 0.11064841 8.73362758 1.41931020 0.10986051 8.85929128 1.40945081 0.10907975 8.98495499 1.39969586 0.10830578 9.11061870 1.39004527 0.10753825 9.23628240 1.38049870 0.10677679 9.36194611 1.37105565 0.10602104 9.48760981 1.36171550 0.10527067 9.61327352 1.35247751 0.10452537 9.73893723 1.34334095 0.10378492 9.86460093 1.33430508 0.10304923 9.99026464 1.32536909 0.10231823 10.11592834 1.31653236 0.10159205 10.24159205 1.30779407 0.10087076 10.36725576 1.29915366 0.10015468 10.49291946 1.29061049 0.09944410 10.61858317 1.28216397 0.09873942 10.74424688 1.27381346 0.09804100 10.86991058 1.26555838 0.09734928 10.99557429 1.25739800 0.09666461 11.12123799 1.24933162 0.09598733 11.24690170 1.24135848 0.09531779 11.37256541 1.23347772 0.09465623 11.49822911 1.22568838 0.09400281 11.62389282 1.21798950 0.09335770 11.74955652 1.21038002 0.09272097 11.87522023 1.20285880 0.09209263 12.00088394 1.19542469 0.09147265 12.12654764 1.18807646 0.09086097 12.25221135 1.18081283 0.09025743 12.37787506 1.17363249 0.08966187 12.50353876 1.16653415 0.08907412 12.62920247 1.15951644 0.08849394 12.75486617 1.15257802 0.08792108 12.88052988 1.14571751 0.08735528 13.00619359 1.13893360 0.08679631 13.13185729 1.13222492 0.08624388 13.25752100 1.12559019 0.08569775 13.38318470 1.11902813 0.08515769 13.50884841 1.11253746 0.08462347 13.63451212 1.10611700 0.08409489 13.76017582 1.09976553 0.08357173 13.88583953 1.09348200 0.08305392 14.01150324 1.08726526 0.08254127 14.13716694 1.08111428 0.08203370 14.26283065 1.07502805 0.08153110 14.38849435 1.06900558 0.08103341 14.51415806 1.06304596 0.08054062 14.63982177 1.05714823 0.08005263 14.76548547 1.05131153 0.07956945 14.89114918 1.04553494 0.07909100 15.01681288 1.03981766 0.07861732 15.14247659 1.03415879 0.07814833 15.26814030 1.02855754 0.07768402 15.39380400 1.02301308 0.07722437 15.51946771 1.01752461 0.07676934 15.64513141 1.01209133 0.07631890 15.77079512 1.00671240 0.07587296 15.89645883 1.00138714 0.07543155 16.02212253 0.99611469 0.07499455 16.14778624 0.99089433 0.07456194 16.27344995 0.98572533 0.07413368 16.39911365 0.98060691 0.07370968 16.52477736 0.97553837 0.07328989 16.65044106 0.97051903 0.07287430 16.77610477 0.96554814 0.07246279 16.90176848 0.96062504 0.07205534 17.02743218 0.95574905 0.07165189 17.15309589 0.95091952 0.07125238 17.27875959 0.94613580 0.07085678 17.40442330 0.94139726 0.07046502 17.53008701 0.93670328 0.07007707 17.65575071 0.93205322 0.06969284 17.78141442 0.92744649 0.06931232 17.90707813 0.92288255 0.06893547 18.03274183 0.91836076 0.06856221 18.15840554 0.91388058 0.06819253 18.28406924 0.90944148 0.06782639 18.40973295 0.90504289 0.06746373 18.53539666 0.90068425 0.06710449 18.66106036 0.89636507 0.06674867 18.78672407 0.89208483 0.06639621 18.91238777 0.88784298 0.06604705 19.03805148 0.88363906 0.06570118 19.16371519 0.87947258 0.06535857 19.28937889 0.87534302 0.06501913 19.41504260 0.87124990 0.06468283 19.54070631 0.86719281 0.06434968 19.66637001 0.86317125 0.06401961 19.79203372 0.85918477 0.06369257 19.91769742 0.85523291 0.06336853 20.04336113 0.85131523 0.06304744 20.16902484 0.84743129 0.06272925 20.29468854 0.84358066 0.06241393 20.42035225 0.83976295 0.06210145 20.54601595 0.83597773 0.06179176 20.67167966 0.83222456 0.06148481 20.79734337 0.82850307 0.06118056 20.92300707 0.82481286 0.06087898 21.04867078 0.82115349 0.06058000 21.17433449 0.81752462 0.06028360 21.29999819 0.81392587 0.05998974 21.42566190 0.81035685 0.05969836 21.55132560 0.80681719 0.05940944 21.67698931 0.80330654 0.05912294 21.80265302 0.79982454 0.05883881 21.92831672 0.79637083 0.05855702 22.05398043 0.79294510 0.05827755 22.17964413 0.78954698 0.05800033 22.30530784 0.78617617 0.05772537 22.43097155 0.78283234 0.05745263 22.55663525 0.77951516 0.05718206 22.68229896 0.77622434 0.05691366 22.80796267 0.77295957 0.05664740 22.93362637 0.76972055 0.05638325 23.05929008 0.76650700 0.05612121 23.18495378 0.76331863 0.05586123 23.31061749 0.76015516 0.05560332 23.43628120 0.75701633 0.05534746 23.56194490 0.75390186 0.05509363 23.68760861 0.75081149 0.05484181 23.81327231 0.74774496 0.05459200 23.93893602 0.74470203 0.05434420 24.06459973 0.74168243 0.05409838 24.19026343 0.73868593 0.05385453 24.31592714 0.73571229 0.05361265 24.44159084 0.73276127 0.05337273 24.56725455 0.72983263 0.05313475 24.69291826 0.72692615 0.05289872 24.81858196 0.72404159 0.05266461 24.94424567 0.72117874 0.05243242 25.06990938 0.71833737 0.05220215 25.19557308 0.71551725 0.05197376 25.44690049 0.70993994 0.05152265 25.57256420 0.70718231 0.05129990 25.82389161 0.70172806 0.05085993 25.94955532 0.69903102 0.05064269 26.20088273 0.69369611 0.05021362 26.32654644 0.69105782 0.05000176 26.57787385 0.68583862 0.04958331 26.82920126 0.68069457 0.04917176 26.95486497 0.67815026 0.04896854 27.20619238 0.67311612 0.04856711 27.45751979 0.66815337 0.04817223 27.58318350 0.66569831 0.04797718 27.83451091 0.66083993 0.04759183 28.08583832 0.65604938 0.04721265 28.21150203 0.65367910 0.04702533 28.46282944 0.64898769 0.04665511 28.71415685 0.64436074 0.04629069 28.96548427 0.63979695 0.04593193 29.09114797 0.63753833 0.04575460 29.34247538 0.63306690 0.04540403 29.59380280 0.62865555 0.04505876 29.84513021 0.62430308 0.04471865 30.09645762 0.62000835 0.04438357 30.34778503 0.61577023 0.04405342 30.47344874 0.61367204 0.04389013 30.72477615 0.60951681 0.04356712 30.97610356 0.60541551 0.04324873 31.22743098 0.60136712 0.04293484 31.47875839 0.59737068 0.04262539 31.73008580 0.59342517 0.04232024 31.98141321 0.58952969 0.04201931 32.23274063 0.58568328 0.04172251 32.48406804 0.58188508 0.04142975 32.73539545 0.57813418 0.04114094 32.98672286 0.57442974 0.04085600 33.23805027 0.57077093 0.04057486 33.48937769 0.56715693 0.04029743 33.74070510 0.56358694 0.04002364 33.99203251 0.56006019 0.03975342 34.24335992 0.55657593 0.03948671 34.49468734 0.55313341 0.03922342 34.74601475 0.54973190 0.03896350 34.99734216 0.54637071 0.03870689 35.37433328 0.54140299 0.03832803 35.62566069 0.53813959 0.03807940 35.87698810 0.53491414 0.03783387 36.12831552 0.53172602 0.03759138 36.37964293 0.52857459 0.03735187 36.75663405 0.52391491 0.03699809 37.00796146 0.52085257 0.03676580 37.25928887 0.51782485 0.03653632 37.51061628 0.51483118 0.03630959 37.88760740 0.51040329 0.03597455 38.13893481 0.50749234 0.03575450 38.39026223 0.50461354 0.03553703 38.76725335 0.50035451 0.03521559 39.01858076 0.49755388 0.03500441 39.39557188 0.49340977 0.03469219 39.64689929 0.49068425 0.03448702 39.89822670 0.48798794 0.03428420 40.27521782 0.48399729 0.03398426 40.52654523 0.48137207 0.03378712 40.90353635 0.47748599 0.03349552 41.15486376 0.47492915 0.03330383 41.53185488 0.47114370 0.03302024 41.78318229 0.46865267 0.03283378 42.16017341 0.46496408 0.03255789 42.53716453 0.46133187 0.03228647 42.78849194 0.45894110 0.03210796 43.16548306 0.45540010 0.03184376 43.41681047 0.45306902 0.03166996 43.79380159 0.44961592 0.03141271 44.17079271 0.44621403 0.03115949 44.54778383 0.44286224 0.03091021 44.79911124 0.44065502 0.03074618 45.17610236 0.43738437 0.03050328 45.55309348 0.43416102 0.03026410 45.93008460 0.43098398 0.03002855 46.18141201 0.42889120 0.02987350 46.55840313 0.42578920 0.02964382 46.93539424 0.42273097 0.02941757 47.31238536 0.41971562 0.02919466 47.68937648 0.41674227 0.02897503 48.06636760 0.41381006 0.02875861 48.44335872 0.41091815 0.02854533 48.82034984 0.40806575 0.02833511 49.19734096 0.40525206 0.02812791 49.57433207 0.40247630 0.02792364 49.95132319 0.39973774 0.02772226 50.32831431 0.39703564 0.02752371 50.70530543 0.39436929 0.02732792 51.08229655 0.39173799 0.02713484 51.45928767 0.38914108 0.02694442 51.83627878 0.38657788 0.02675659 52.33893361 0.38321164 0.02651012 52.71592473 0.38072465 0.02632817 53.09291585 0.37826931 0.02614865 53.46990696 0.37584501 0.02597152 53.97256179 0.37265992 0.02573898 54.34955291 0.37030585 0.02556723 54.72654403 0.36798096 0.02539773 55.22919885 0.36492557 0.02517512 55.60618997 0.36266671 0.02501067 55.98318109 0.36043530 0.02484831 56.48583591 0.35750195 0.02463504 56.86282703 0.35533271 0.02447743 57.36548185 0.35248053 0.02427034 57.74247297 0.35037092 0.02411727 58.24512780 0.34759663 0.02391611 58.62211892 0.34554425 0.02376739 59.12477374 0.34284473 0.02357191 59.62742857 0.34018660 0.02337957 60.00441968 0.33821961 0.02323733 60.50707451 0.33563168 0.02305031 61.00972933 0.33308264 0.02286623 61.38672045 0.33119585 0.02273006 61.88937528 0.32871280 0.02255097 62.39203010 0.32626632 0.02237464 62.89468492 0.32385561 0.02220101 63.39733975 0.32147991 0.02203001 63.89999457 0.31913847 0.02186160 64.40264940 0.31683055 0.02169570 64.77964052 0.31512118 0.02157290 65.28229534 0.31287023 0.02141128 65.78495017 0.31065089 0.02125204 66.41326870 0.30792020 0.02105625 66.91592352 0.30576963 0.02090216 67.41857835 0.30364862 0.02075028 67.92123317 0.30155655 0.02060057 68.42388800 0.29949285 0.02045298 68.92654282 0.29745693 0.02030746 69.42919764 0.29544826 0.02016397 70.05751618 0.29297490 0.01998741 70.56017100 0.29102556 0.01984835 71.06282582 0.28910176 0.01971118 71.69114435 0.28673215 0.01954234 72.19379918 0.28486400 0.01940932 72.82211771 0.28256247 0.01924553 73.32477253 0.28074761 0.01911646 73.95309107 0.27851127 0.01895751 74.45574589 0.27674746 0.01883222 75.08406442 0.27457359 0.01867790 75.58671925 0.27285872 0.01855623 76.21503778 0.27074475 0.01840634 76.84335631 0.26866300 0.01825882 77.34601113 0.26702031 0.01814248 77.97432966 0.26499474 0.01799911 78.60264819 0.26299941 0.01785797 79.23096672 0.26103363 0.01771900 79.85928525 0.25909678 0.01758216 80.36194008 0.25756769 0.01747419 80.99025861 0.25568130 0.01734105 81.61857714 0.25382210 0.01720992 82.24689567 0.25198952 0.01708073 82.87521420 0.25018299 0.01695346 83.62919644 0.24804875 0.01680319 84.25751497 0.24629760 0.01667997 84.88583350 0.24457080 0.01655853 85.51415203 0.24286783 0.01643883 86.14247056 0.24118821 0.01632084 86.89645280 0.23920282 0.01618144 87.52477133 0.23757292 0.01606708 88.15308986 0.23596488 0.01595430 88.90707210 0.23406350 0.01582103 89.53539063 0.23250207 0.01571165 90.28937286 0.23065540 0.01558235 90.91769139 0.22913857 0.01547621 91.67167363 0.22734429 0.01535072 92.42565587 0.22557765 0.01522724 93.05397440 0.22412611 0.01512583 93.80795664 0.22240852 0.01500590 94.56193887 0.22071683 0.01488785 95.19025740 0.21932646 0.01479087 95.94423964 0.21768077 0.01467614 96.69822188 0.21605938 0.01456316 97.45220411 0.21446176 0.01445191 98.20618635 0.21288739 0.01434232 98.96016859 0.21133577 0.01423438 99.71415082 0.20980641 0.01412804 100.46813306 0.20829884 0.01402327 101.34777900 0.20656694 0.01390297 102.10176124 0.20510501 0.01380148 102.85574348 0.20366346 0.01370146 103.60972572 0.20224185 0.01360286 104.48937166 0.20060798 0.01348960 105.24335390 0.19922821 0.01339401 106.12299984 0.19764208 0.01328417 106.87698208 0.19630233 0.01319144 107.75662802 0.19476187 0.01308487 108.51061025 0.19346043 0.01299487 109.39025620 0.19196370 0.01289143 110.26990214 0.19048977 0.01278960 111.14954808 0.18903811 0.01268937 111.90353032 0.18781117 0.01260470 112.78317626 0.18639956 0.01250732 113.66282221 0.18500883 0.01241142 114.54246815 0.18363853 0.01231698 115.42211409 0.18228820 0.01222396 116.30176004 0.18095743 0.01213233 117.18140598 0.17964578 0.01204206 118.18671563 0.17816965 0.01194051 119.06636157 0.17689764 0.01185305 119.94600751 0.17564350 0.01176685 120.95131716 0.17423163 0.01166986 121.83096311 0.17301458 0.01158628 122.83627276 0.17164414 0.01149222 123.71591870 0.17046255 0.01141116 124.72122835 0.16913177 0.01131989 125.60087429 0.16798413 0.01124122 126.60618394 0.16669130 0.01115264 127.61149359 0.16541806 0.01106543 128.61680324 0.16416397 0.01097957 129.62211289 0.16292861 0.01089503 130.62742254 0.16171154 0.01081178 131.63273219 0.16051238 0.01072979 132.63804183 0.15933073 0.01064903 133.64335148 0.15816622 0.01056947 134.64866113 0.15701847 0.01049108 135.65397078 0.15588713 0.01041385 136.78494414 0.15463355 0.01032830 137.79025379 0.15353593 0.01025343 138.92122714 0.15231945 0.01017048 139.92653679 0.15125407 0.01009787 141.05751015 0.15007306 0.01001740 142.06281980 0.14903853 0.00994694 143.19379315 0.14789148 0.00986885 144.32476651 0.14676181 0.00979196 145.45573986 0.14564915 0.00971627 146.58671322 0.14455310 0.00964173 147.71768657 0.14347330 0.00956832 148.84865993 0.14240939 0.00949602 149.97963328 0.14136104 0.00942480 151.11060664 0.14032789 0.00935464 152.24157999 0.13930962 0.00928552 153.49821705 0.13819528 0.00920989 154.62919041 0.13720741 0.00914288 155.88582747 0.13612608 0.00906954 157.01680083 0.13516725 0.00900454 158.27343789 0.13411750 0.00893340 159.53007495 0.13308381 0.00886337 160.66104830 0.13216692 0.00880127 161.91768537 0.13116276 0.00873329 163.17432243 0.13017364 0.00866634 164.43095949 0.12919923 0.00860041 165.68759655 0.12823920 0.00853547 167.06989732 0.12719940 0.00846516 168.32653438 0.12626855 0.00840224 169.58317144 0.12535114 0.00834024 170.96547221 0.12435717 0.00827310 172.22210927 0.12346704 0.00821298 173.60441004 0.12250242 0.00814785 174.86104710 0.12163839 0.00808953 176.24334787 0.12070184 0.00802634 177.62564863 0.11977950 0.00796412 179.00794940 0.11887107 0.00790286 180.39025017 0.11797624 0.00784253 181.77255094 0.11709468 0.00778311 183.15485170 0.11622613 0.00772459 184.66281618 0.11529311 0.00766173 186.04511695 0.11445082 0.00760501 187.42741771 0.11362068 0.00754912 188.93538219 0.11272861 0.00748907 190.31768295 0.11192303 0.00743487 191.82564743 0.11105717 0.00737661 193.33361190 0.11020453 0.00731927 194.84157638 0.10936480 0.00726281 196.34954085 0.10853771 0.00720721 197.85750532 0.10772296 0.00715245 199.36546980 0.10692028 0.00709852 200.87343427 0.10612941 0.00704539 202.50706245 0.10528566 0.00698873 204.01502692 0.10451858 0.00693722 205.64865510 0.10370002 0.00688228 207.15661958 0.10295566 0.00683232 208.79024776 0.10216118 0.00677902 210.42387594 0.10137880 0.00672654 212.05750412 0.10060825 0.00667486 213.69113230 0.09984927 0.00662397 215.32476048 0.09910160 0.00657385 216.95838866 0.09836498 0.00652448 218.59201684 0.09763918 0.00647585 220.35130872 0.09686938 0.00642428 221.98493690 0.09616530 0.00637712 223.74422879 0.09541837 0.00632711 225.50352067 0.09468289 0.00627787 227.26281256 0.09395862 0.00622939 229.02210445 0.09324528 0.00618165 230.78139633 0.09254265 0.00613464 232.54068822 0.09185049 0.00608833 234.29998010 0.09116855 0.00604272 236.18493570 0.09044900 0.00599461 237.94422758 0.08978755 0.00595039 239.82918318 0.08908946 0.00590372 241.71413877 0.08840210 0.00585779 243.47343065 0.08777002 0.00581555 245.35838625 0.08710271 0.00577097 247.24334184 0.08644542 0.00572706 249.25396114 0.08575512 0.00568096 251.13891673 0.08511786 0.00563841