# omega total a= 1 L= 2 0.06283185 0.29819890 0.10991989 0.18849556 0.38820333 0.09128362 0.31415927 0.51550065 0.09460135 0.43982297 0.63946069 0.09851244 0.56548668 0.76089014 0.10403918 0.69115038 0.87672162 0.10976082 0.81681409 0.98590022 0.11547037 0.94247780 1.08794723 0.12109590 1.06814150 1.18181701 0.12605080 1.19380521 1.26740490 0.13025753 1.31946891 1.34510332 0.13388968 1.44513262 1.41529824 0.13706749 1.57079633 1.47828190 0.13979336 1.69646003 1.53427875 0.14200575 1.82212374 1.58374439 0.14376647 1.94778745 1.62721454 0.14516824 2.07345115 1.66513542 0.14624892 2.19911486 1.69793244 0.14704332 2.32477856 1.72603121 0.14759048 2.45044227 1.74982821 0.14791444 2.57610598 1.76970097 0.14803870 2.70176968 1.78602270 0.14799958 2.82743339 1.79915274 0.14783762 2.95309709 1.80941998 0.14758435 3.07876080 1.81711431 0.14725700 3.20442451 1.82248876 0.14686107 3.33008821 1.82576965 0.14639768 3.45575192 1.82716826 0.14587095 3.58141563 1.82688591 0.14529023 3.70707933 1.82511121 0.14466686 3.83274304 1.82201434 0.14400923 3.95840674 1.81774407 0.14332033 4.08407045 1.81242947 0.14259872 4.20973416 1.80618454 0.14184143 4.33539786 1.79911273 0.14104652 4.46106157 1.79130986 0.14021446 4.58672527 1.78286519 0.13934812 4.71238898 1.77386135 0.13845213 4.83805269 1.76437430 0.13753217 4.96371639 1.75447314 0.13659428 5.08938010 1.74422033 0.13564437 5.21504380 1.73367215 0.13468801 5.34070751 1.72287890 0.13373004 5.46637122 1.71188563 0.13277472 5.59203492 1.70073232 0.13182546 5.71769863 1.68945434 0.13088487 5.84336234 1.67808251 0.12995452 5.96902604 1.66664346 0.12903500 6.09468975 1.65515984 0.12812589 6.22035345 1.64365087 0.12722599 6.34601716 1.63213280 0.12633350 6.47168087 1.62061950 0.12544637 6.59734457 1.60912298 0.12456254 6.72300828 1.59765391 0.12368032 6.84867198 1.58622197 0.12279841 6.97433569 1.57483608 0.12191609 7.09999940 1.56350453 0.12103316 7.22566310 1.55223500 0.12014981 7.35132681 1.54103470 0.11926665 7.47699052 1.52991013 0.11838444 7.60265422 1.51886736 0.11750417 7.72831793 1.50791187 0.11662694 7.85398163 1.49704842 0.11575371 7.97964534 1.48628147 0.11488568 8.10530905 1.47561488 0.11402391 8.23097275 1.46505199 0.11316946 8.35663646 1.45459572 0.11232330 8.48230016 1.44424845 0.11148635 8.60796387 1.43401208 0.11065933 8.73362758 1.42388797 0.10984280 8.85929128 1.41387693 0.10903706 8.98495499 1.40397957 0.10824244 9.11061870 1.39419580 0.10745884 9.23628240 1.38452541 0.10668619 9.36194611 1.37496774 0.10592419 9.48760981 1.36552201 0.10517253 9.61327352 1.35618722 0.10443080 9.73893723 1.34696229 0.10369862 9.86460093 1.33784607 0.10297559 9.99026464 1.32883723 0.10226128 10.11592834 1.31993457 0.10155538 10.24159205 1.31113668 0.10085749 10.36725576 1.30244222 0.10016729 10.49291946 1.29384977 0.09948445 10.61858317 1.28535790 0.09880869 10.74424688 1.27696516 0.09813971 10.86991058 1.26867006 0.09747724 10.99557429 1.26047116 0.09682102 11.12123799 1.25236695 0.09617082 11.24690170 1.24435604 0.09552646 11.37256541 1.23643697 0.09488774 11.49822911 1.22860836 0.09425453 11.62389282 1.22086890 0.09362674 11.74955652 1.21321729 0.09300431 11.87522023 1.20565227 0.09238720 12.00088394 1.19817265 0.09177541 12.12654764 1.19077721 0.09116893 12.25221135 1.18346480 0.09056779 12.37787506 1.17623440 0.08997211 12.50353876 1.16908485 0.08938190 12.62920247 1.16201510 0.08879725 12.75486617 1.15502410 0.08821821 12.88052988 1.14811080 0.08764486 13.00619359 1.14127418 0.08707726 13.13185729 1.13451315 0.08651541 13.25752100 1.12782673 0.08595941 13.38318470 1.12121384 0.08540923 13.50884841 1.11467350 0.08486491 13.63451212 1.10820466 0.08432646 13.76017582 1.10180624 0.08379381 13.88583953 1.09547730 0.08326700 14.01150324 1.08921672 0.08274593 14.13716694 1.08302354 0.08223059 14.26283065 1.07689672 0.08172089 14.38849435 1.07083523 0.08121676 14.51415806 1.06483809 0.08071814 14.63982177 1.05890431 0.08022494 14.76548547 1.05303288 0.07973706 14.89114918 1.04722293 0.07925448 15.01681288 1.04147337 0.07877700 15.14247659 1.03578338 0.07830463 15.26814030 1.03015201 0.07783724 15.39380400 1.02457830 0.07737471 15.51946771 1.01906148 0.07691704 15.64513141 1.01360060 0.07646408 15.77079512 1.00819482 0.07601575 15.89645883 1.00284337 0.07557202 16.02212253 0.99754538 0.07513278 16.14778624 0.99230006 0.07469794 16.27344995 0.98710668 0.07426749 16.39911365 0.98196441 0.07384130 16.52477736 0.97687254 0.07341934 16.65044106 0.97183032 0.07300153 16.77610477 0.96683704 0.07258780 16.90176848 0.96189200 0.07217810 17.02743218 0.95699448 0.07177236 17.15309589 0.95214385 0.07137054 17.27875959 0.94733938 0.07097256 17.40442330 0.94258050 0.07057840 17.53008701 0.93786652 0.07018798 17.65575071 0.93319682 0.06980125 17.78141442 0.92857080 0.06941818 17.90707813 0.92398786 0.06903871 18.03274183 0.91944743 0.06866283 18.15840554 0.91494891 0.06829046 18.28406924 0.91049175 0.06792157 18.40973295 0.90607543 0.06755616 18.53539666 0.90169939 0.06719417 18.66106036 0.89736310 0.06683557 18.78672407 0.89306604 0.06648032 18.91238777 0.88880772 0.06612841 19.03805148 0.88458764 0.06577981 19.16371519 0.88040529 0.06543447 19.28937889 0.87626022 0.06509238 19.41504260 0.87215190 0.06475347 19.54070631 0.86807993 0.06441777 19.66637001 0.86404379 0.06408518 19.79203372 0.86004305 0.06375570 19.91769742 0.85607725 0.06342928 20.04336113 0.85214597 0.06310592 20.16902484 0.84824873 0.06278553 20.29468854 0.84438512 0.06246808 20.42035225 0.84055472 0.06215356 20.54601595 0.83675707 0.06184188 20.67167966 0.83299180 0.06153304 20.79734337 0.82925844 0.06122695 20.92300707 0.82555666 0.06092362 21.04867078 0.82188598 0.06062295 21.17433449 0.81824606 0.06032494 21.29999819 0.81463649 0.06002951 21.42566190 0.81105691 0.05973666 21.55132560 0.80750693 0.05944631 21.67698931 0.80398619 0.05915845 21.80265302 0.80049431 0.05887301 21.92831672 0.79703098 0.05858998 22.05398043 0.79359580 0.05830930 22.17964413 0.79018849 0.05803097 22.30530784 0.78680868 0.05775494 22.43097155 0.78345605 0.05748119 22.55663525 0.78013029 0.05720967 22.68229896 0.77683110 0.05694039 22.80796267 0.77355815 0.05667330 22.93362637 0.77031116 0.05640839 23.05929008 0.76708983 0.05614563 23.18495378 0.76389387 0.05588502 23.31061749 0.76072300 0.05562652 23.43628120 0.75757695 0.05537013 23.56194490 0.75445545 0.05511583 23.68760861 0.75135823 0.05486360 23.81327231 0.74828502 0.05461344 23.93893602 0.74523559 0.05436533 24.06459973 0.74220964 0.05411925 24.19026343 0.73920697 0.05387520 24.31592714 0.73622730 0.05363316 24.44159084 0.73327040 0.05339312 24.56725455 0.73033603 0.05315507 24.69291826 0.72742395 0.05291898 24.81858196 0.72453393 0.05268486 24.94424567 0.72166575 0.05245269 25.06990938 0.71881915 0.05222246 25.19557308 0.71599394 0.05199414 25.44690049 0.71040674 0.05154320 25.57256420 0.70764433 0.05132056 25.82389161 0.70218077 0.05088083 25.94955532 0.69947920 0.05066370 26.20088273 0.69413546 0.05023487 26.32654644 0.69149287 0.05002313 26.57787385 0.68626524 0.04960488 26.82920126 0.68111301 0.04919351 26.95486497 0.67856469 0.04899034 27.20619238 0.67352266 0.04858898 27.45751979 0.66855222 0.04819411 27.58318350 0.66609338 0.04799906 27.83451091 0.66122755 0.04761361 28.08583832 0.65642969 0.04723428 28.21150203 0.65405582 0.04704685 28.46282944 0.64935734 0.04667637 28.71415685 0.64472344 0.04631163 28.96548427 0.64015282 0.04595247 29.09114797 0.63789085 0.04577494 29.34247538 0.63341280 0.04542390 29.59380280 0.62899494 0.04507810 29.84513021 0.62463609 0.04473743 30.09645762 0.62033510 0.04440175 30.34778503 0.61609085 0.04407096 30.47344874 0.61398966 0.04390735 30.72477615 0.60982847 0.04358366 30.97610356 0.60572136 0.04326458 31.22743098 0.60166729 0.04295000 31.47875839 0.59766526 0.04263982 31.73008580 0.59371431 0.04233395 31.98141321 0.58981349 0.04203228 32.23274063 0.58596187 0.04173475 32.48406804 0.58215857 0.04144125 32.73539545 0.57840269 0.04115171 32.98672286 0.57469338 0.04086604 33.23805027 0.57102982 0.04058417 33.48937769 0.56741117 0.04030602 33.74070510 0.56383664 0.04003152 33.99203251 0.56030547 0.03976060 34.24335992 0.55681687 0.03949319 34.49468734 0.55337012 0.03922923 34.74601475 0.54996449 0.03896864 34.99734216 0.54659926 0.03871136 35.37433328 0.54162567 0.03833153 35.62566069 0.53835846 0.03808227 35.87698810 0.53512930 0.03783612 36.12831552 0.53193754 0.03759302 36.37964293 0.52878257 0.03735292 36.75663405 0.52411773 0.03699826 37.00796146 0.52105205 0.03676541 37.25928887 0.51802106 0.03653538 37.51061628 0.51502419 0.03630811 37.88760740 0.51059165 0.03597228 38.13893481 0.50767768 0.03575171 38.39026223 0.50479593 0.03553375 38.76725335 0.50053261 0.03521158 39.01858076 0.49772918 0.03499992 39.39557188 0.49358102 0.03468702 39.64689929 0.49085286 0.03448141 39.89822670 0.48815398 0.03427815 40.27521782 0.48415956 0.03397758 40.52654523 0.48153191 0.03378002 40.90353635 0.47764227 0.03348783 41.15486376 0.47508312 0.03329575 41.53185488 0.47129430 0.03301160 41.78318229 0.46880109 0.03282478 42.16017341 0.46510930 0.03254836 42.53716453 0.46147399 0.03227643 42.78849194 0.45908122 0.03209759 43.16548306 0.45553728 0.03183291 43.41681047 0.45320429 0.03165881 43.79380159 0.44974840 0.03140110 44.17079271 0.44634381 0.03114744 44.54778383 0.44298940 0.03089775 44.79911124 0.44078048 0.03073345 45.17610236 0.43750734 0.03049016 45.55309348 0.43428158 0.03025060 45.93008460 0.43110220 0.03001469 46.18141201 0.42900789 0.02985940 46.55840313 0.42590366 0.02962939 46.93539424 0.42284327 0.02940280 47.31238536 0.41982582 0.02917959 47.68937648 0.41685042 0.02895965 48.06636760 0.41391623 0.02874294 48.44335872 0.41102240 0.02852937 48.82034984 0.40816812 0.02831889 49.19734096 0.40535261 0.02811143 49.57433207 0.40257509 0.02790692 49.95132319 0.39983481 0.02770530 50.32831431 0.39713103 0.02750652 50.70530543 0.39446306 0.02731051 51.08229655 0.39183018 0.02711722 51.45928767 0.38923173 0.02692659 51.83627878 0.38666704 0.02673858 52.33893361 0.38329886 0.02649186 52.71592473 0.38081047 0.02630973 53.09291585 0.37835376 0.02613005 53.46990696 0.37592813 0.02595275 53.97256179 0.37274132 0.02572001 54.34955291 0.37038600 0.02554812 54.72654403 0.36805988 0.02537847 55.22919885 0.36500292 0.02515570 55.60618997 0.36274292 0.02499112 55.98318109 0.36051039 0.02482864 56.48583591 0.35757559 0.02461522 56.86282703 0.35540530 0.02445750 57.36548185 0.35255176 0.02425028 57.74247297 0.35044115 0.02409712 58.24512780 0.34766558 0.02389584 58.62211892 0.34561226 0.02374704 59.12477374 0.34291153 0.02355145 59.62742857 0.34025223 0.02335901 60.00441968 0.33828438 0.02321671 60.50707451 0.33569534 0.02302960 61.00972933 0.33314523 0.02284545 61.38672045 0.33125766 0.02270922 61.88937528 0.32877359 0.02253006 62.39203010 0.32632612 0.02235367 62.89468492 0.32391447 0.02217998 63.39733975 0.32153784 0.02200894 63.89999457 0.31919550 0.02184047 64.40264940 0.31688671 0.02167454 64.77964052 0.31517671 0.02155171 65.28229534 0.31292494 0.02139006 65.78495017 0.31070481 0.02123079 66.41326870 0.30797314 0.02103497 66.91592352 0.30582183 0.02088086 67.41857835 0.30370009 0.02072897 67.92123317 0.30160732 0.02057924 68.42388800 0.29954293 0.02043164 68.92654282 0.29750636 0.02028612 69.42919764 0.29549704 0.02014263 70.05751618 0.29302290 0.01996607 70.56017100 0.29107295 0.01982701 71.06282582 0.28914856 0.01968985 71.69114435 0.28677824 0.01952102 72.19379918 0.28490954 0.01938801 72.82211771 0.28260734 0.01922424 73.32477253 0.28079196 0.01909519 73.95309107 0.27855499 0.01893626 74.45574589 0.27679069 0.01881100 75.08406442 0.27461623 0.01865670 75.58671925 0.27290089 0.01853506 76.21503778 0.27078637 0.01838520 76.84335631 0.26870408 0.01823772 77.34601113 0.26706097 0.01812142 77.97432966 0.26503489 0.01797809 78.60264819 0.26303906 0.01783698 79.23096672 0.26107281 0.01769806 79.85928525 0.25913549 0.01756127 80.36194008 0.25760604 0.01745333 80.99025861 0.25571921 0.01732025 81.61857714 0.25385959 0.01718917 82.24689567 0.25202660 0.01706004 82.87521420 0.25021966 0.01693281 83.62919644 0.24808496 0.01678261 84.25751497 0.24633344 0.01665945 84.88583350 0.24460627 0.01653807 85.51415203 0.24290295 0.01641843 86.14247056 0.24122298 0.01630049 86.89645280 0.23923719 0.01616118 87.52477133 0.23760696 0.01604687 88.15308986 0.23599862 0.01593416 88.90707210 0.23409687 0.01580096 89.53539063 0.23253514 0.01569164 90.28937286 0.23068812 0.01556243 90.91769139 0.22917102 0.01545635 91.67167363 0.22737641 0.01533094 92.42565587 0.22560945 0.01520754 93.05397440 0.22415765 0.01510620 93.80795664 0.22243977 0.01498635 94.56193887 0.22074779 0.01486837 95.19025740 0.21935718 0.01477146 95.94423964 0.21771121 0.01465682 96.69822188 0.21608955 0.01454392 97.45220411 0.21449167 0.01443275 98.20618635 0.21291705 0.01432325 98.96016859 0.21136519 0.01421539 99.71415082 0.20983559 0.01410913 100.46813306 0.20832779 0.01400444 101.34777900 0.20659562 0.01388424 102.10176124 0.20513347 0.01378283 102.85574348 0.20369170 0.01368289 103.60972572 0.20226989 0.01358437 104.48937166 0.20063578 0.01347121 105.24335390 0.19925581 0.01337570 106.12299984 0.19766945 0.01326595 106.87698208 0.19632951 0.01317330 107.75662802 0.19478884 0.01306683 108.51061025 0.19348722 0.01297692 109.39025620 0.19199029 0.01287356 110.26990214 0.19051616 0.01277184 111.14954808 0.18906430 0.01267170 111.90353032 0.18783721 0.01258710 112.78317626 0.18642541 0.01248981 113.66282221 0.18503450 0.01239401 114.54246815 0.18366402 0.01229966 115.42211409 0.18231352 0.01220674 116.30176004 0.18098257 0.01211520 117.18140598 0.17967076 0.01202501 118.18671563 0.17819445 0.01192357 119.06636157 0.17692228 0.01183619 119.94600751 0.17566799 0.01175009 120.95131716 0.17425594 0.01165319 121.83096311 0.17303874 0.01156971 122.83627276 0.17166814 0.01147574 123.71591870 0.17048641 0.01139476 124.72122835 0.16915547 0.01130360 125.60087429 0.16800769 0.01122501 126.60618394 0.16671471 0.01113652 127.61149359 0.16544133 0.01104941 128.61680324 0.16418709 0.01096365 129.62211289 0.16295158 0.01087920 130.62742254 0.16173437 0.01079604 131.63273219 0.16053507 0.01071414 132.63804183 0.15935329 0.01063347 133.64335148 0.15818864 0.01055400 134.64866113 0.15704076 0.01047571 135.65397078 0.15590929 0.01039856 136.78494414 0.15465557 0.01031312 137.79025379 0.15355783 0.01023833 138.92122714 0.15234120 0.01015548 139.92653679 0.15127571 0.01008295 141.05751015 0.15009456 0.01000258 142.06281980 0.14905992 0.00993221 143.19379315 0.14791274 0.00985420 144.32476651 0.14678294 0.00977741 145.45573986 0.14567015 0.00970181 146.58671322 0.14457398 0.00962736 147.71768657 0.14349406 0.00955405 148.84865993 0.14243004 0.00948183 149.97963328 0.14138156 0.00941070 151.11060664 0.14034830 0.00934063 152.24157999 0.13932992 0.00927159 153.49821705 0.13821546 0.00919606 154.62919041 0.13722747 0.00912913 155.88582747 0.13614602 0.00905589 157.01680083 0.13518708 0.00899097 158.27343789 0.13413721 0.00891992 159.53007495 0.13310340 0.00884998 160.66104830 0.13218641 0.00878796 161.91768537 0.13118214 0.00872006 163.17432243 0.13019291 0.00865320 164.43095949 0.12921839 0.00858736 165.68759655 0.12825825 0.00852251 167.06989732 0.12721833 0.00845229 168.32653438 0.12628738 0.00838945 169.58317144 0.12536986 0.00832753 170.96547221 0.12437577 0.00826047 172.22210927 0.12348555 0.00820044 173.60441004 0.12252081 0.00813540 174.86104710 0.12165668 0.00807716 176.24334787 0.12072002 0.00801405 177.62564863 0.11979758 0.00795191 179.00794940 0.11888905 0.00789073 180.39025017 0.11799410 0.00783048 181.77255094 0.11711245 0.00777115 183.15485170 0.11624380 0.00771270 184.66281618 0.11531066 0.00764994 186.04511695 0.11446827 0.00759329 187.42741771 0.11363803 0.00753748 188.93538219 0.11274586 0.00747752 190.31768295 0.11194019 0.00742338 191.82564743 0.11107422 0.00736521 193.33361190 0.11022148 0.00730795 194.84157638 0.10938165 0.00725156 196.34954085 0.10855446 0.00719604 197.85750532 0.10773961 0.00714136 199.36546980 0.10693683 0.00708750 200.87343427 0.10614587 0.00703445 202.50706245 0.10530202 0.00697787 204.01502692 0.10453484 0.00692644 205.64865510 0.10371618 0.00687157 207.15661958 0.10297173 0.00682169 208.79024776 0.10217715 0.00676846 210.42387594 0.10139467 0.00671605 212.05750412 0.10062403 0.00666445 213.69113230 0.09986495 0.00661363 215.32476048 0.09911718 0.00656358 216.95838866 0.09838048 0.00651429 218.59201684 0.09765459 0.00646572 220.35130872 0.09688468 0.00641423 221.98493690 0.09618052 0.00636714 223.74422879 0.09543349 0.00631719 225.50352067 0.09469792 0.00626802 227.26281256 0.09397355 0.00621961 229.02210445 0.09326012 0.00617195 230.78139633 0.09255740 0.00612500 232.54068822 0.09186514 0.00607877 234.29998010 0.09118312 0.00603322 236.18493570 0.09046347 0.00598518 237.94422758 0.08980194 0.00594102 239.82918318 0.08910376 0.00589443 241.71413877 0.08841630 0.00584856 243.47343065 0.08778414 0.00580638 245.35838625 0.08711673 0.00576187 247.24334184 0.08645936 0.00571803 249.25396114 0.08576896 0.00567200 251.13891673 0.08513162 0.00562951