# omega total a= 1 L= 2 0.06283185 0.14648254 0.02669166 0.18849556 0.26090590 0.01711227 0.31415927 0.41110864 0.02999514 0.43982297 0.55491966 0.04202207 0.56548668 0.69432029 0.05481680 0.69115038 0.82041679 0.06354978 0.81681409 0.93718751 0.07103868 0.94247780 1.04642516 0.07850951 1.06814150 1.14703078 0.08531720 1.19380521 1.23879525 0.09131846 1.31946891 1.32189955 0.09656624 1.44513262 1.39656219 0.10108445 1.57079633 1.46345956 0.10509023 1.69646003 1.52300976 0.10860500 1.82212374 1.57555218 0.11160847 1.94778745 1.62170394 0.11424342 2.07345115 1.66200224 0.11657974 2.19911486 1.69681550 0.11858100 2.32477856 1.72656237 0.12025702 2.45044227 1.75172476 0.12166656 2.57610598 1.77273986 0.12284781 2.70176968 1.78998904 0.12381774 2.82743339 1.80384127 0.12460222 2.95309709 1.81465628 0.12523624 3.07876080 1.82275983 0.12574749 3.20442451 1.82843645 0.12615208 3.33008821 1.83193900 0.12646035 3.45575192 1.83349754 0.12668116 3.58141563 1.83332140 0.12682186 3.70707933 1.83159940 0.12688757 3.83274304 1.82850091 0.12688117 3.95840674 1.82417851 0.12680450 4.08407045 1.81877057 0.12665976 4.20973416 1.81240363 0.12645047 4.33539786 1.80519367 0.12618170 4.46106157 1.79724683 0.12585981 4.58672527 1.78865994 0.12549203 4.71238898 1.77952081 0.12508580 4.83805269 1.76990842 0.12464814 4.96371639 1.75989297 0.12418501 5.08938010 1.74953628 0.12370101 5.21504380 1.73889229 0.12319918 5.34070751 1.72800809 0.12268136 5.46637122 1.71692468 0.12214834 5.59203492 1.70567811 0.12160040 5.71769863 1.69430044 0.12103772 5.84336234 1.68282038 0.12046062 5.96902604 1.67126388 0.11986973 6.09468975 1.65965445 0.11926602 6.22035345 1.64801329 0.11865068 6.34601716 1.63635965 0.11802516 6.47168087 1.62471078 0.11739097 6.59734457 1.61308179 0.11674934 6.72300828 1.60148624 0.11610156 6.84867198 1.58993604 0.11544875 6.97433569 1.57844141 0.11479174 7.09999940 1.56701133 0.11413124 7.22566310 1.55565352 0.11346782 7.35132681 1.54437470 0.11280200 7.47699052 1.53318047 0.11213406 7.60265422 1.52207580 0.11146443 7.72831793 1.51106485 0.11079344 7.85398163 1.50015135 0.11012154 7.97964534 1.48933851 0.10944924 8.10530905 1.47862893 0.10877697 8.23097275 1.46802514 0.10810544 8.35663646 1.45752878 0.10743497 8.48230016 1.44714162 0.10676625 8.60796387 1.43686462 0.10609959 8.73362758 1.42669856 0.10543534 8.85929128 1.41664380 0.10477372 8.98495499 1.40670030 0.10411479 9.11061870 1.39686795 0.10345870 9.23628240 1.38714600 0.10280522 9.36194611 1.37753406 0.10215449 9.48760981 1.36803136 0.10150650 9.61327352 1.35863694 0.10086112 9.73893723 1.34935025 0.10021864 9.86460093 1.34017028 0.09957906 9.99026464 1.33109627 0.09894259 10.11592834 1.32212753 0.09830959 10.24159205 1.31326324 0.09768030 10.36725576 1.30450247 0.09705494 10.49291946 1.29584460 0.09643399 10.61858317 1.28728861 0.09581762 10.74424688 1.27883369 0.09520618 10.86991058 1.27047870 0.09459980 10.99557429 1.26222265 0.09399870 11.12123799 1.25406427 0.09340292 11.24690170 1.24600243 0.09281259 11.37256541 1.23803573 0.09222766 11.49822911 1.23016291 0.09164816 11.62389282 1.22238248 0.09107398 11.74955652 1.21469313 0.09050511 11.87522023 1.20709333 0.08994138 12.00088394 1.19958170 0.08938275 12.12654764 1.19215678 0.08882909 12.25221135 1.18481722 0.08828036 12.37787506 1.17756156 0.08773642 12.50353876 1.17038844 0.08719719 12.62920247 1.16329656 0.08666265 12.75486617 1.15628462 0.08613273 12.88052988 1.14935129 0.08560735 13.00619359 1.14249541 0.08508654 13.13185729 1.13571568 0.08457020 13.25752100 1.12901100 0.08405839 13.38318470 1.12238016 0.08355105 13.50884841 1.11582206 0.08304817 13.63451212 1.10933562 0.08254979 13.76017582 1.10291961 0.08205578 13.88583953 1.09657323 0.08156634 14.01150324 1.09029518 0.08108125 14.13716694 1.08408461 0.08060065 14.26283065 1.07794031 0.08012436 14.38849435 1.07186147 0.07965252 14.51415806 1.06584691 0.07918494 14.63982177 1.05989582 0.07872172 14.76548547 1.05400712 0.07826274 14.89114918 1.04817992 0.07780798 15.01681288 1.04241332 0.07735745 15.14247659 1.03670629 0.07691099 15.26814030 1.03105806 0.07646868 15.39380400 1.02546757 0.07603032 15.51946771 1.01993414 0.07559603 15.64513141 1.01445671 0.07516558 15.77079512 1.00903464 0.07473910 15.89645883 1.00366699 0.07431643 16.02212253 0.99835296 0.07389754 16.14778624 0.99309182 0.07348244 16.27344995 0.98788275 0.07307104 16.39911365 0.98272500 0.07266330 16.52477736 0.97761793 0.07225928 16.65044106 0.97256062 0.07185879 16.77610477 0.96755260 0.07146197 16.90176848 0.96259298 0.07106864 17.02743218 0.95768123 0.07067890 17.15309589 0.95281657 0.07029263 17.27875959 0.94799845 0.06990986 17.40442330 0.94322621 0.06953058 17.53008701 0.93849917 0.06915470 17.65575071 0.93381680 0.06878229 17.78141442 0.92917842 0.06841323 17.90707813 0.92458348 0.06804755 18.03274183 0.92003139 0.06768523 18.15840554 0.91552158 0.06732622 18.28406924 0.91105346 0.06697048 18.40973295 0.90662650 0.06661802 18.53539666 0.90224014 0.06626877 18.66106036 0.89789384 0.06592273 18.78672407 0.89358705 0.06557984 18.91238777 0.88931928 0.06524008 19.03805148 0.88508999 0.06490340 19.16371519 0.88089868 0.06456978 19.28937889 0.87674484 0.06423917 19.41504260 0.87262797 0.06391153 19.54070631 0.86854759 0.06358682 19.66637001 0.86450323 0.06326501 19.79203372 0.86049442 0.06294606 19.91769742 0.85652069 0.06262993 20.04336113 0.85258155 0.06231655 20.16902484 0.84867660 0.06200593 20.29468854 0.84480536 0.06169798 20.42035225 0.84096743 0.06139269 20.54601595 0.83716238 0.06109004 20.67167966 0.83338976 0.06078995 20.79734337 0.82964919 0.06049242 20.92300707 0.82594024 0.06019739 21.04867078 0.82226254 0.05990484 21.17433449 0.81861566 0.05961471 21.29999819 0.81499926 0.05932701 21.42566190 0.81141293 0.05904168 21.55132560 0.80785633 0.05875870 21.67698931 0.80432908 0.05847804 21.80265302 0.80083084 0.05819967 21.92831672 0.79736123 0.05792355 22.05398043 0.79391995 0.05764969 22.17964413 0.79050663 0.05737804 22.30530784 0.78712097 0.05710859 22.43097155 0.78376263 0.05684131 22.55663525 0.78043130 0.05657618 22.68229896 0.77712667 0.05631320 22.80796267 0.77384843 0.05605232 22.93362637 0.77059629 0.05579355 23.05929008 0.76736996 0.05553687 23.18495378 0.76416913 0.05528225 23.31061749 0.76099353 0.05502970 23.43628120 0.75784289 0.05477918 23.56194490 0.75471692 0.05453068 23.68760861 0.75161536 0.05428421 23.81327231 0.74853794 0.05403973 23.93893602 0.74548440 0.05379724 24.06459973 0.74245448 0.05355672 24.19026343 0.73944794 0.05331817 24.31592714 0.73646449 0.05308156 24.44159084 0.73350394 0.05284689 24.56725455 0.73056599 0.05261414 24.69291826 0.72765043 0.05238329 24.81858196 0.72475703 0.05215435 24.94424567 0.72188553 0.05192728 25.06990938 0.71903570 0.05170207 25.19557308 0.71620734 0.05147872 25.44690049 0.71061404 0.05103750 25.57256420 0.70784866 0.05081960 25.82389161 0.70237936 0.05038915 25.94955532 0.69967501 0.05017656 26.20088273 0.69432583 0.04975658 26.32654644 0.69168059 0.04954914 26.57787385 0.68644779 0.04913930 26.82920126 0.68129055 0.04873605 26.95486497 0.67873978 0.04853685 27.20619238 0.67369296 0.04814320 27.45751979 0.66871784 0.04775576 27.58318350 0.66625671 0.04756433 27.83451091 0.66138639 0.04718595 28.08583832 0.65658416 0.04681342 28.21150203 0.65420814 0.04662930 28.46282944 0.64950544 0.04626529 28.71415685 0.64486743 0.04590679 28.96548427 0.64029280 0.04555366 29.09114797 0.63802886 0.04537908 29.34247538 0.63354695 0.04503377 29.59380280 0.62912533 0.04469354 29.84513021 0.62476283 0.04435825 30.09645762 0.62045827 0.04402779 30.34778503 0.61621054 0.04370205 30.47344874 0.61410765 0.04354092 30.72477615 0.60994313 0.04322206 30.97610356 0.60583278 0.04290767 31.22743098 0.60177555 0.04259765 31.47875839 0.59777046 0.04229191 31.73008580 0.59381653 0.04199035 31.98141321 0.58991281 0.04169289 32.23274063 0.58605839 0.04139944 32.48406804 0.58225235 0.04110993 32.73539545 0.57849382 0.04082427 32.98672286 0.57478195 0.04054239 33.23805027 0.57111588 0.04026421 33.48937769 0.56749481 0.03998967 33.74070510 0.56391793 0.03971869 33.99203251 0.56038447 0.03945120 34.24335992 0.55689366 0.03918715 34.49468734 0.55344475 0.03892646 34.74601475 0.55003703 0.03866908 34.99734216 0.54666978 0.03841494 35.37433328 0.54169326 0.03803969 35.62566069 0.53842417 0.03779340 35.87698810 0.53519319 0.03755016 36.12831552 0.53199966 0.03730991 36.37964293 0.52884297 0.03707259 36.75663405 0.52417565 0.03672201 37.00796146 0.52110838 0.03649180 37.25928887 0.51807584 0.03626436 37.51061628 0.51507747 0.03603964 37.88760740 0.51064276 0.03570753 38.13893481 0.50772739 0.03548939 38.39026223 0.50484429 0.03527379 38.76725335 0.50057901 0.03495510 39.01858076 0.49777433 0.03474571 39.39557188 0.49362434 0.03443613 39.64689929 0.49089501 0.03423268 39.89822670 0.48819500 0.03403154 40.27521782 0.48419894 0.03373409 40.52654523 0.48157023 0.03353856 40.90353635 0.47767906 0.03324935 41.15486376 0.47511893 0.03305922 41.53185488 0.47132869 0.03277793 41.78318229 0.46883456 0.03259296 42.16017341 0.46514145 0.03231928 42.53716453 0.46150488 0.03205002 42.78849194 0.45911129 0.03187292 43.16548306 0.45556617 0.03161080 43.41681047 0.45323243 0.03143837 43.79380159 0.44977544 0.03118312 44.17079271 0.44636979 0.03093187 44.54778383 0.44301438 0.03068453 44.79911124 0.44080481 0.03052176 45.17610236 0.43753073 0.03028074 45.55309348 0.43430407 0.03004339 45.93008460 0.43112382 0.02980963 46.18141201 0.42902897 0.02965576 46.55840313 0.42592393 0.02942783 46.93539424 0.42286277 0.02920328 47.31238536 0.41984458 0.02898206 47.68937648 0.41686848 0.02876408 48.06636760 0.41393361 0.02854928 48.44335872 0.41103913 0.02833759 48.82034984 0.40818423 0.02812894 49.19734096 0.40536812 0.02792328 49.57433207 0.40259003 0.02772053 49.95132319 0.39984921 0.02752064 50.32831431 0.39714491 0.02732355 50.70530543 0.39447643 0.02712920 51.08229655 0.39184308 0.02693755 51.45928767 0.38924417 0.02674852 51.83627878 0.38667904 0.02656207 52.33893361 0.38331030 0.02631740 52.71592473 0.38082152 0.02613678 53.09291585 0.37836443 0.02595857 53.46990696 0.37593844 0.02578273 53.97256179 0.37275117 0.02555188 54.34955291 0.37039552 0.02538138 54.72654403 0.36806910 0.02521310 55.22919885 0.36501174 0.02499211 55.60618997 0.36275145 0.02482885 55.98318109 0.36051866 0.02466767 56.48583591 0.35758353 0.02445593 56.86282703 0.35541300 0.02429945 57.36548185 0.35255916 0.02409385 57.74247297 0.35044834 0.02394189 58.24512780 0.34767249 0.02374217 58.62211892 0.34561899 0.02359452 59.12477374 0.34291802 0.02340045 59.62742857 0.34025850 0.02320949 60.00441968 0.33829049 0.02306827 60.50707451 0.33570126 0.02288259 61.00972933 0.33315096 0.02269983 61.38672045 0.33126327 0.02256463 61.88937528 0.32877904 0.02238682 62.39203010 0.32633142 0.02221175 62.89468492 0.32391963 0.02203936 63.39733975 0.32154288 0.02186959 63.89999457 0.31920043 0.02170238 64.40264940 0.31689153 0.02153767 64.77964052 0.31518146 0.02141574 65.28229534 0.31292960 0.02125528 65.78495017 0.31070939 0.02109717 66.41326870 0.30797764 0.02090278 66.91592352 0.30582627 0.02074979 67.41857835 0.30370447 0.02059899 67.92123317 0.30161165 0.02045035 68.42388800 0.29954723 0.02030381 68.92654282 0.29751062 0.02015933 69.42919764 0.29550127 0.02001687 70.05751618 0.29302710 0.01984156 70.56017100 0.29107714 0.01970349 71.06282582 0.28915273 0.01956731 71.69114435 0.28678241 0.01939967 72.19379918 0.28491371 0.01926759 72.82211771 0.28261151 0.01910498 73.32477253 0.28079614 0.01897683 73.95309107 0.27855919 0.01881901 74.45574589 0.27679491 0.01869462 75.08406442 0.27462047 0.01854139 75.58671925 0.27290516 0.01842059 76.21503778 0.27079067 0.01827177 76.84335631 0.26870842 0.01812531 77.34601113 0.26706535 0.01800980 77.97432966 0.26503931 0.01786745 78.60264819 0.26304353 0.01772732 79.23096672 0.26107733 0.01758934 79.85928525 0.25914007 0.01745348 80.36194008 0.25761066 0.01734628 80.99025861 0.25572390 0.01721410 81.61857714 0.25386434 0.01708390 82.24689567 0.25203141 0.01695564 82.87521420 0.25022454 0.01682927 83.62919644 0.24808992 0.01668008 84.25751497 0.24633847 0.01655774 84.88583350 0.24461137 0.01643717 85.51415203 0.24290812 0.01631833 86.14247056 0.24122823 0.01620118 86.89645280 0.23924253 0.01606279 87.52477133 0.23761237 0.01594924 88.15308986 0.23600410 0.01583728 88.90707210 0.23410244 0.01570496 89.53539063 0.23254079 0.01559636 90.28937286 0.23069387 0.01546800 90.91769139 0.22917684 0.01536262 91.67167363 0.22738233 0.01523803 92.42565587 0.22561546 0.01511543 93.05397440 0.22416375 0.01501476 93.80795664 0.22244595 0.01489569 94.56193887 0.22075407 0.01477848 95.19025740 0.21936354 0.01468220 95.94423964 0.21771766 0.01456830 96.69822188 0.21609610 0.01445614 97.45220411 0.21449831 0.01434568 98.20618635 0.21292378 0.01423689 98.96016859 0.21137201 0.01412972 99.71415082 0.20984250 0.01402415 100.46813306 0.20833479 0.01392013 101.34777900 0.20660272 0.01380070 102.10176124 0.20514066 0.01369995 102.85574348 0.20369898 0.01360064 103.60972572 0.20227725 0.01350276 104.48937166 0.20064324 0.01339032 105.24335390 0.19926336 0.01329541 106.12299984 0.19767709 0.01318637 106.87698208 0.19633723 0.01309431 107.75662802 0.19479665 0.01298851 108.51061025 0.19349511 0.01289916 109.39025620 0.19199827 0.01279647 110.26990214 0.19052423 0.01269538 111.14954808 0.18907246 0.01259588 111.90353032 0.18784544 0.01251181 112.78317626 0.18643372 0.01241514 113.66282221 0.18504289 0.01231994 114.54246815 0.18367249 0.01222619 115.42211409 0.18232207 0.01213384 116.30176004 0.18099120 0.01204287 117.18140598 0.17967947 0.01195325 118.18671563 0.17820324 0.01185245 119.06636157 0.17693114 0.01176562 119.94600751 0.17567692 0.01168005 120.95131716 0.17426495 0.01158376 121.83096311 0.17304781 0.01150079 122.83627276 0.17167729 0.01140741 123.71591870 0.17049562 0.01132694 124.72122835 0.16916475 0.01123634 125.60087429 0.16801703 0.01115824 126.60618394 0.16672412 0.01107030 127.61149359 0.16545079 0.01098373 128.61680324 0.16419662 0.01089850 129.62211289 0.16296116 0.01081457 130.62742254 0.16174402 0.01073193 131.63273219 0.16054477 0.01065053 132.63804183 0.15936304 0.01057036 133.64335148 0.15819845 0.01049138 134.64866113 0.15705062 0.01041356 135.65397078 0.15591920 0.01033689 136.78494414 0.15466553 0.01025197 137.79025379 0.15356783 0.01017765 138.92122714 0.15235125 0.01009531 139.92653679 0.15128580 0.01002322 141.05751015 0.15010470 0.00994334 142.06281980 0.14907010 0.00987340 143.19379315 0.14792295 0.00979587 144.32476651 0.14679320 0.00971955 145.45573986 0.14568044 0.00964441 146.58671322 0.14458431 0.00957041 147.71768657 0.14350442 0.00949754 148.84865993 0.14244043 0.00942577 149.97963328 0.14139198 0.00935508 151.11060664 0.14035875 0.00928543 152.24157999 0.13934039 0.00921681 153.49821705 0.13822596 0.00914174 154.62919041 0.13723799 0.00907521 155.88582747 0.13615657 0.00900242 157.01680083 0.13519765 0.00893789 158.27343789 0.13414780 0.00886727 159.53007495 0.13311401 0.00879775 160.66104830 0.13219704 0.00873611 161.91768537 0.13119278 0.00866862 163.17432243 0.13020357 0.00860217 164.43095949 0.12922906 0.00853672 165.68759655 0.12826893 0.00847226 167.06989732 0.12722902 0.00840247 168.32653438 0.12629808 0.00834001 169.58317144 0.12538057 0.00827847 170.96547221 0.12438649 0.00821181 172.22210927 0.12349627 0.00815214 173.60441004 0.12253154 0.00808749 174.86104710 0.12166741 0.00802960 176.24334787 0.12073075 0.00796687 177.62564863 0.11980831 0.00790511 179.00794940 0.11889978 0.00784429 180.39025017 0.11800483 0.00778441 181.77255094 0.11712317 0.00772543 183.15485170 0.11625451 0.00766733 184.66281618 0.11532137 0.00760495 186.04511695 0.11447898 0.00754864 187.42741771 0.11364873 0.00749316 188.93538219 0.11275655 0.00743356 190.31768295 0.11195087 0.00737975 191.82564743 0.11108489 0.00732193 193.33361190 0.11023213 0.00726500 194.84157638 0.10939230 0.00720896 196.34954085 0.10856509 0.00715376 197.85750532 0.10775022 0.00709941 199.36546980 0.10694743 0.00704588 200.87343427 0.10615645 0.00699314 202.50706245 0.10531258 0.00693690 204.01502692 0.10454539 0.00688577 205.64865510 0.10372670 0.00683123 207.15661958 0.10298223 0.00678165 208.79024776 0.10218763 0.00672873 210.42387594 0.10140513 0.00667664 212.05750412 0.10063447 0.00662534 213.69113230 0.09987537 0.00657483 215.32476048 0.09912757 0.00652508 216.95838866 0.09839084 0.00647608 218.59201684 0.09766493 0.00642780 220.35130872 0.09689500 0.00637661 221.98493690 0.09619080 0.00632980 223.74422879 0.09544374 0.00628016 225.50352067 0.09470814 0.00623128 227.26281256 0.09398374 0.00618316 229.02210445 0.09327029 0.00613577 230.78139633 0.09256754 0.00608911 232.54068822 0.09187525 0.00604315 234.29998010 0.09119319 0.00599787 236.18493570 0.09047352 0.00595011 237.94422758 0.08981195 0.00590622 239.82918318 0.08911373 0.00585990 241.71413877 0.08842624 0.00581430 243.47343065 0.08779404 0.00577237 245.35838625 0.08712660 0.00572812 247.24334184 0.08646919 0.00568454 249.25396114 0.08577876 0.00563878 251.13891673 0.08514138 0.00559654