# omega total a= 1 L= 2 0.06283185 0.14887427 0.02840806 0.18849556 0.27270399 0.02462074 0.31415927 0.40914056 0.03001894 0.43982297 0.55275397 0.04228543 0.56548668 0.68940255 0.05399434 0.69115038 0.81959329 0.06563294 0.81681409 0.93812834 0.07439867 0.94247780 1.04503462 0.08061452 1.06814150 1.14264165 0.08584118 1.19380521 1.23321018 0.09141294 1.31946891 1.31703919 0.09734912 1.44513262 1.39243489 0.10242582 1.57079633 1.45906490 0.10631099 1.69646003 1.51814524 0.10959645 1.82212374 1.57070268 0.11267837 1.94778745 1.61708252 0.11549672 2.07345115 1.65743325 0.11787054 2.19911486 1.69214895 0.11979066 2.32477856 1.72182314 0.12138637 2.45044227 1.74701725 0.12277013 2.57610598 1.76816257 0.12397668 2.70176968 1.78560886 0.12500310 2.82743339 1.79968998 0.12585594 2.95309709 1.81073490 0.12655586 3.07876080 1.81904940 0.12712128 3.20442451 1.82490693 0.12756076 3.33008821 1.82855400 0.12787761 3.45575192 1.83021923 0.12807706 3.58141563 1.83011796 0.12816954 3.70707933 1.82845220 0.12816978 3.83274304 1.82540751 0.12809335 3.95840674 1.82115051 0.12795380 4.08407045 1.81582787 0.12776102 4.20973416 1.80956751 0.12752113 4.33539786 1.80248130 0.12723756 4.46106157 1.79466792 0.12691204 4.58672527 1.78621583 0.12654588 4.71238898 1.77720449 0.12614001 4.83805269 1.76770581 0.12569556 4.96371639 1.75778484 0.12521381 5.08938010 1.74750081 0.12469672 5.21504380 1.73690785 0.12414701 5.34070751 1.72605597 0.12356851 5.46637122 1.71499095 0.12296574 5.59203492 1.70375459 0.12234365 5.71769863 1.69238464 0.12170718 5.84336234 1.68091477 0.12106086 5.96902604 1.66937468 0.12040861 6.09468975 1.65779060 0.11975375 6.22035345 1.64618492 0.11909854 6.34601716 1.63457725 0.11844469 6.47168087 1.62298416 0.11779311 6.59734457 1.61141945 0.11714389 6.72300828 1.59989495 0.11649677 6.84867198 1.58842056 0.11585111 6.97433569 1.57700440 0.11520589 7.09999940 1.56565317 0.11455984 7.22566310 1.55437277 0.11391194 7.35132681 1.54316774 0.11326078 7.47699052 1.53204255 0.11260560 7.60265422 1.52100059 0.11194541 7.72831793 1.51004544 0.11127989 7.85398163 1.49918027 0.11060893 7.97964534 1.48840819 0.10993280 8.10530905 1.47773213 0.10925207 8.23097275 1.46715511 0.10856775 8.35663646 1.45667946 0.10788060 8.48230016 1.44630794 0.10719206 8.60796387 1.43604240 0.10650309 8.73362758 1.42588488 0.10581501 8.85929128 1.41583645 0.10512860 8.98495499 1.40589873 0.10444523 9.11061870 1.39607186 0.10376527 9.23628240 1.38635679 0.10308983 9.36194611 1.37675335 0.10241928 9.48760981 1.36726153 0.10175419 9.61327352 1.35788103 0.10109496 9.73893723 1.34861116 0.10044180 9.86460093 1.33945125 0.09979493 9.99026464 1.33040023 0.09915432 10.11592834 1.32145712 0.09852006 10.24159205 1.31262045 0.09789188 10.36725576 1.30388897 0.09726969 10.49291946 1.29526114 0.09665321 10.61858317 1.28673547 0.09604222 10.74424688 1.27831035 0.09543640 10.86991058 1.26998408 0.09483540 10.99557429 1.26175534 0.09423914 11.12123799 1.25362236 0.09364725 11.24690170 1.24558374 0.09305964 11.37256541 1.23763806 0.09247618 11.49822911 1.22978380 0.09189672 11.62389282 1.22201974 0.09132131 11.74955652 1.21434437 0.09074979 11.87522023 1.20675664 0.09018235 12.00088394 1.19925512 0.08961889 12.12654764 1.19183860 0.08905948 12.25221135 1.18450607 0.08850431 12.37787506 1.17725610 0.08795327 12.50353876 1.17008773 0.08740658 12.62920247 1.16299984 0.08686432 12.75486617 1.15599120 0.08632651 12.88052988 1.14906098 0.08579341 13.00619359 1.14220776 0.08526486 13.13185729 1.13543079 0.08474116 13.25752100 1.12872883 0.08422225 13.38318470 1.12210090 0.08370821 13.50884841 1.11554597 0.08319913 13.63451212 1.10906292 0.08269497 13.76017582 1.10265069 0.08219572 13.88583953 1.09630836 0.08170146 14.01150324 1.09003467 0.08121204 14.13716694 1.08382877 0.08072755 14.26283065 1.07768964 0.08024795 14.38849435 1.07161607 0.07977307 14.51415806 1.06560722 0.07930298 14.63982177 1.05966185 0.07883743 14.76548547 1.05377913 0.07837647 14.89114918 1.04795810 0.07792006 15.01681288 1.04219751 0.07746790 15.14247659 1.03649681 0.07702022 15.26814030 1.03085467 0.07657664 15.39380400 1.02527039 0.07613726 15.51946771 1.01974297 0.07570190 15.64513141 1.01427158 0.07527056 15.77079512 1.00885527 0.07484309 15.89645883 1.00349333 0.07441953 16.02212253 0.99818486 0.07399976 16.14778624 0.99292903 0.07358370 16.27344995 0.98772519 0.07317140 16.39911365 0.98257238 0.07276267 16.52477736 0.97747007 0.07235762 16.65044106 0.97241742 0.07195613 16.77610477 0.96741383 0.07155825 16.90176848 0.96245845 0.07116383 17.02743218 0.95755078 0.07077296 17.15309589 0.95269007 0.07038556 17.27875959 0.94787573 0.07000165 17.40442330 0.94310709 0.06962117 17.53008701 0.93838356 0.06924412 17.65575071 0.93370457 0.06887050 17.78141442 0.92906947 0.06850027 17.90707813 0.92447768 0.06813339 18.03274183 0.91992864 0.06776987 18.15840554 0.91542182 0.06740970 18.28406924 0.91095658 0.06705281 18.40973295 0.90653244 0.06669921 18.53539666 0.90214883 0.06634885 18.66106036 0.89780520 0.06600170 18.78672407 0.89350107 0.06565777 18.91238777 0.88923588 0.06531698 19.03805148 0.88500912 0.06497932 19.16371519 0.88082030 0.06464475 19.28937889 0.87666889 0.06431322 19.41504260 0.87255443 0.06398471 19.54070631 0.86847644 0.06365919 19.66637001 0.86443440 0.06333658 19.79203372 0.86042789 0.06301689 19.91769742 0.85645641 0.06270004 20.04336113 0.85251951 0.06238601 20.16902484 0.84861677 0.06207477 20.29468854 0.84474773 0.06176626 20.42035225 0.84091196 0.06146046 20.54601595 0.83710903 0.06115731 20.67167966 0.83333852 0.06085679 20.79734337 0.82960005 0.06055887 20.92300707 0.82589317 0.06026348 21.04867078 0.82221754 0.05997063 21.17433449 0.81857272 0.05968025 21.29999819 0.81495835 0.05939232 21.42566190 0.81137405 0.05910680 21.55132560 0.80781945 0.05882365 21.67698931 0.80429420 0.05854287 21.80265302 0.80079792 0.05826439 21.92831672 0.79733026 0.05798820 22.05398043 0.79389089 0.05771427 22.17964413 0.79047948 0.05744258 22.30530784 0.78709568 0.05717309 22.43097155 0.78373919 0.05690578 22.55663525 0.78040964 0.05664062 22.68229896 0.77710677 0.05637760 22.80796267 0.77383024 0.05611668 22.93362637 0.77057975 0.05585785 23.05929008 0.76735502 0.05560109 23.18495378 0.76415573 0.05534637 23.31061749 0.76098162 0.05509370 23.43628120 0.75783239 0.05484302 23.56194490 0.75470778 0.05459434 23.68760861 0.75160750 0.05434764 23.81327231 0.74853128 0.05410290 23.93893602 0.74547887 0.05386011 24.06459973 0.74245002 0.05361926 24.19026343 0.73944445 0.05338032 24.31592714 0.73646192 0.05314329 24.44159084 0.73350219 0.05290816 24.56725455 0.73056500 0.05267490 24.69291826 0.72765014 0.05244352 24.81858196 0.72475736 0.05221400 24.94424567 0.72188640 0.05198630 25.06990938 0.71903708 0.05176046 25.19557308 0.71620912 0.05153641 25.44690049 0.71061649 0.05109374 25.57256420 0.70785138 0.05087508 25.82389161 0.70238245 0.05044303 25.94955532 0.69967820 0.05022960 26.20088273 0.69432917 0.04980793 26.32654644 0.69168395 0.04959964 26.57787385 0.68645111 0.04918807 26.82920126 0.68129375 0.04878307 26.95486497 0.67874288 0.04858299 27.20619238 0.67369586 0.04818763 27.45751979 0.66872052 0.04779852 27.58318350 0.66625926 0.04760625 27.83451091 0.66138871 0.04722627 28.08583832 0.65658625 0.04685219 28.21150203 0.65421012 0.04666732 28.46282944 0.64950722 0.04630186 28.71415685 0.64486903 0.04594198 28.96548427 0.64029426 0.04558754 29.09114797 0.63803027 0.04541233 29.34247538 0.63354826 0.04506581 29.59380280 0.62912659 0.04472445 29.84513021 0.62476406 0.04438809 30.09645762 0.62045951 0.04405662 30.34778503 0.61621183 0.04372994 30.47344874 0.61410896 0.04356835 30.72477615 0.60994453 0.04324864 30.97610356 0.60583427 0.04293345 31.22743098 0.60177717 0.04262266 31.47875839 0.59777221 0.04231620 31.73008580 0.59381844 0.04201397 31.98141321 0.58991489 0.04171586 32.23274063 0.58606064 0.04142181 32.48406804 0.58225479 0.04113173 32.73539545 0.57849645 0.04084553 32.98672286 0.57478476 0.04056313 33.23805027 0.57111889 0.04028446 33.48937769 0.56749802 0.04000945 33.74070510 0.56392133 0.03973802 33.99203251 0.56038806 0.03947011 34.24335992 0.55689744 0.03920564 34.49468734 0.55344873 0.03894456 34.74601475 0.55004119 0.03868680 34.99734216 0.54667412 0.03843229 35.37433328 0.54169786 0.03805651 35.62566069 0.53842894 0.03780989 35.87698810 0.53519812 0.03756633 36.12831552 0.53200475 0.03732576 36.37964293 0.52884821 0.03708814 36.75663405 0.52418110 0.03673711 37.00796146 0.52111396 0.03650663 37.25928887 0.51808156 0.03627892 37.51061628 0.51508331 0.03605393 37.88760740 0.51064879 0.03572144 38.13893481 0.50773353 0.03550304 38.39026223 0.50485054 0.03528721 38.76725335 0.50058541 0.03496817 39.01858076 0.49778083 0.03475855 39.39557188 0.49363098 0.03444864 39.64689929 0.49090173 0.03424498 39.89822670 0.48820180 0.03404364 40.27521782 0.48420585 0.03374588 40.52654523 0.48157721 0.03355016 40.90353635 0.47768614 0.03326067 41.15486376 0.47512608 0.03307035 41.53185488 0.47133591 0.03278879 41.78318229 0.46884184 0.03260366 42.16017341 0.46514880 0.03232972 42.53716453 0.46151230 0.03206022 42.78849194 0.45911875 0.03188296 43.16548306 0.45557369 0.03162062 43.41681047 0.45323998 0.03144804 43.79380159 0.44978304 0.03119257 44.17079271 0.44637743 0.03094112 44.54778383 0.44302205 0.03069357 44.79911124 0.44081250 0.03053067 45.17610236 0.43753845 0.03028945 45.55309348 0.43431181 0.03005191 45.93008460 0.43113159 0.02981798 46.18141201 0.42903674 0.02966399 46.55840313 0.42593172 0.02943588 46.93539424 0.42287057 0.02921118 47.31238536 0.41985239 0.02898979 47.68937648 0.41687629 0.02877166 48.06636760 0.41394142 0.02855670 48.44335872 0.41104694 0.02834486 48.82034984 0.40819203 0.02813607 49.19734096 0.40537592 0.02793027 49.57433207 0.40259782 0.02772739 49.95132319 0.39985698 0.02752737 50.32831431 0.39715267 0.02733015 50.70530543 0.39448418 0.02713568 51.08229655 0.39185080 0.02694390 51.45928767 0.38925187 0.02675476 51.83627878 0.38668672 0.02656820 52.33893361 0.38331795 0.02632338 52.71592473 0.38082914 0.02614265 53.09291585 0.37837203 0.02596434 53.46990696 0.37594601 0.02578840 53.97256179 0.37275870 0.02555741 54.34955291 0.37040302 0.02538682 54.72654403 0.36807657 0.02521845 55.22919885 0.36501917 0.02499734 55.60618997 0.36275885 0.02483399 55.98318109 0.36052603 0.02467272 56.48583591 0.35759085 0.02446087 56.86282703 0.35542028 0.02430432 57.36548185 0.35256639 0.02409862 57.74247297 0.35045554 0.02394657 58.24512780 0.34767964 0.02374676 58.62211892 0.34562610 0.02359904 59.12477374 0.34292508 0.02340487 59.62742857 0.34026551 0.02321382 60.00441968 0.33829746 0.02307254 60.50707451 0.33570817 0.02288677 61.00972933 0.33315782 0.02270393 61.38672045 0.33127009 0.02256868 61.88937528 0.32878580 0.02239079 62.39203010 0.32633814 0.02221564 62.89468492 0.32392629 0.02204318 63.39733975 0.32154949 0.02187333 63.89999457 0.31920698 0.02170605 64.40264940 0.31689803 0.02154127 64.77964052 0.31518791 0.02141930 65.28229534 0.31293600 0.02125877 65.78495017 0.31071573 0.02110061 66.41326870 0.30798391 0.02090613 66.91592352 0.30583249 0.02075309 67.41857835 0.30371064 0.02060224 67.92123317 0.30161776 0.02045354 68.42388800 0.29955328 0.02030694 68.92654282 0.29751662 0.02016241 69.42919764 0.29550722 0.02001990 70.05751618 0.29303298 0.01984453 70.56017100 0.29108297 0.01970641 71.06282582 0.28915851 0.01957018 71.69114435 0.28678812 0.01940249 72.19379918 0.28491936 0.01927036 72.82211771 0.28261710 0.01910769 73.32477253 0.28080168 0.01897950 73.95309107 0.27856466 0.01882164 74.45574589 0.27680033 0.01869720 75.08406442 0.27462583 0.01854393 75.58671925 0.27291047 0.01842310 76.21503778 0.27079592 0.01827423 76.84335631 0.26871361 0.01812772 77.34601113 0.26707048 0.01801218 77.97432966 0.26504438 0.01786979 78.60264819 0.26304854 0.01772961 79.23096672 0.26108228 0.01759160 79.85928525 0.25914496 0.01745570 80.36194008 0.25761551 0.01734846 80.99025861 0.25572868 0.01721625 81.61857714 0.25386907 0.01708601 82.24689567 0.25203608 0.01695772 82.87521420 0.25022915 0.01683132 83.62919644 0.24809447 0.01668209 84.25751497 0.24634296 0.01655972 84.88583350 0.24461581 0.01643912 85.51415203 0.24291250 0.01632025 86.14247056 0.24123256 0.01620307 86.89645280 0.23924680 0.01606464 87.52477133 0.23761659 0.01595107 88.15308986 0.23600827 0.01583908 88.90707210 0.23410656 0.01570673 89.53539063 0.23254485 0.01559811 90.28937286 0.23069787 0.01546971 90.91769139 0.22918080 0.01536431 91.67167363 0.22738623 0.01523969 92.42565587 0.22561931 0.01511707 93.05397440 0.22416754 0.01501637 93.80795664 0.22244969 0.01489727 94.56193887 0.22075776 0.01478004 95.19025740 0.21936718 0.01468374 95.94423964 0.21772126 0.01456981 96.69822188 0.21609964 0.01445763 97.45220411 0.21450180 0.01434715 98.20618635 0.21292722 0.01423833 98.96016859 0.21137540 0.01413115 99.71415082 0.20984584 0.01402555 100.46813306 0.20833808 0.01392152 101.34777900 0.20660596 0.01380207 102.10176124 0.20514386 0.01370129 102.85574348 0.20370213 0.01360197 103.60972572 0.20228036 0.01350406 104.48937166 0.20064630 0.01339160 105.24335390 0.19926637 0.01329668 106.12299984 0.19768006 0.01318761 106.87698208 0.19634016 0.01309554 107.75662802 0.19479953 0.01298972 108.51061025 0.19349795 0.01290036 109.39025620 0.19200107 0.01279764 110.26990214 0.19052698 0.01269654 111.14954808 0.18907516 0.01259702 111.90353032 0.18784810 0.01251294 112.78317626 0.18643634 0.01241625 113.66282221 0.18504547 0.01232104 114.54246815 0.18367503 0.01222727 115.42211409 0.18232457 0.01213491 116.30176004 0.18099366 0.01204393 117.18140598 0.17968189 0.01195429 118.18671563 0.17820562 0.01185347 119.06636157 0.17693348 0.01176663 119.94600751 0.17567922 0.01168104 120.95131716 0.17426721 0.01158474 121.83096311 0.17305004 0.01150176 122.83627276 0.17167948 0.01140837 123.71591870 0.17049778 0.01132788 124.72122835 0.16916687 0.01123727 125.60087429 0.16801911 0.01115916 126.60618394 0.16672616 0.01107121 127.61149359 0.16545281 0.01098462 128.61680324 0.16419860 0.01089938 129.62211289 0.16296311 0.01081544 130.62742254 0.16174593 0.01073279 131.63273219 0.16054665 0.01065138 132.63804183 0.15936489 0.01057120 133.64335148 0.15820026 0.01049220 134.64866113 0.15705240 0.01041438 135.65397078 0.15592095 0.01033770 136.78494414 0.15466725 0.01025277 137.79025379 0.15356952 0.01017844 138.92122714 0.15235292 0.01009608 139.92653679 0.15128743 0.01002399 141.05751015 0.15010630 0.00994410 142.06281980 0.14907167 0.00987415 143.19379315 0.14792450 0.00979661 144.32476651 0.14679472 0.00972028 145.45573986 0.14568193 0.00964513 146.58671322 0.14458577 0.00957113 147.71768657 0.14350586 0.00949825 148.84865993 0.14244184 0.00942647 149.97963328 0.14139337 0.00935576 151.11060664 0.14036011 0.00928611 152.24157999 0.13934173 0.00921748 153.49821705 0.13822727 0.00914240 154.62919041 0.13723928 0.00907587 155.88582747 0.13615783 0.00900307 157.01680083 0.13519889 0.00893853 158.27343789 0.13414902 0.00886790 159.53007495 0.13311521 0.00879838 160.66104830 0.13219821 0.00873673 161.91768537 0.13119394 0.00866924 163.17432243 0.13020470 0.00860277 164.43095949 0.12923017 0.00853732 165.68759655 0.12827002 0.00847285 167.06989732 0.12723009 0.00840305 168.32653438 0.12629913 0.00834059 169.58317144 0.12538160 0.00827904 170.96547221 0.12438750 0.00821238 172.22210927 0.12349726 0.00815270 173.60441004 0.12253250 0.00808804 174.86104710 0.12166836 0.00803014 176.24334787 0.12073168 0.00796741 177.62564863 0.11980923 0.00790564 179.00794940 0.11890067 0.00784482 180.39025017 0.11800571 0.00778493 181.77255094 0.11712404 0.00772594 183.15485170 0.11625536 0.00766784 184.66281618 0.11532220 0.00760545 186.04511695 0.11447979 0.00754914 187.42741771 0.11364953 0.00749365 188.93538219 0.11275733 0.00743405 190.31768295 0.11195163 0.00738023 191.82564743 0.11108564 0.00732240 193.33361190 0.11023287 0.00726547 194.84157638 0.10939302 0.00720942 196.34954085 0.10856579 0.00715423 197.85750532 0.10775091 0.00709987 199.36546980 0.10694811 0.00704633 200.87343427 0.10615712 0.00699359 202.50706245 0.10531324 0.00693734 204.01502692 0.10454602 0.00688621 205.64865510 0.10372733 0.00683167 207.15661958 0.10298285 0.00678208 208.79024776 0.10218823 0.00672916 210.42387594 0.10140572 0.00667706 212.05750412 0.10063504 0.00662576 213.69113230 0.09987593 0.00657524 215.32476048 0.09912813 0.00652549 216.95838866 0.09839139 0.00647648 218.59201684 0.09766546 0.00642820 220.35130872 0.09689552 0.00637701 221.98493690 0.09619131 0.00633020 223.74422879 0.09544424 0.00628054 225.50352067 0.09470863 0.00623166 227.26281256 0.09398422 0.00618354 229.02210445 0.09327076 0.00613615 230.78139633 0.09256800 0.00608948 232.54068822 0.09187570 0.00604352 234.29998010 0.09119363 0.00599824 236.18493570 0.09047395 0.00595047 237.94422758 0.08981237 0.00590657 239.82918318 0.08911414 0.00586025 241.71413877 0.08842665 0.00581465 243.47343065 0.08779444 0.00577272 245.35838625 0.08712699 0.00572847 247.24334184 0.08646958 0.00568488 249.25396114 0.08577913 0.00563912 251.13891673 0.08514174 0.00559688