# omega total a= 1 L= 2 0.06283185 0.36529519 0.15867741 0.18849556 0.41714310 0.11490881 0.31415927 0.52408411 0.10577422 0.43982297 0.64312199 0.10646655 0.56548668 0.76274251 0.11067695 0.69115038 0.87793240 0.11579695 0.81681409 0.98548959 0.12013371 0.94247780 1.08638297 0.12456231 1.06814150 1.17914151 0.12824643 1.19380521 1.26398812 0.13134155 1.31946891 1.34130807 0.13406363 1.44513262 1.41117023 0.13634267 1.57079633 1.47394584 0.13824921 1.69646003 1.53006734 0.13987029 1.82212374 1.57989167 0.14122631 1.94778745 1.62384935 0.14237488 2.07345115 1.66236180 0.14335442 2.19911486 1.69578783 0.14415041 2.32477856 1.72449640 0.14475518 2.45044227 1.74888892 0.14519172 2.57610598 1.76935230 0.14548467 2.70176968 1.78622742 0.14563897 2.82743339 1.79982264 0.14564989 2.95309709 1.81043867 0.14552186 3.07876080 1.81837455 0.14527353 3.20442451 1.82391627 0.14492971 3.33008821 1.82732408 0.14451139 3.45575192 1.82882840 0.14403187 3.58141563 1.82863370 0.14349901 3.70707933 1.82692510 0.14291950 3.83274304 1.82387236 0.14230112 3.95840674 1.81963065 0.14165221 4.08407045 1.81433939 0.14097961 4.20973416 1.80812209 0.14028734 4.33539786 1.80108757 0.13957665 4.46106157 1.79333235 0.13884709 4.58672527 1.78494318 0.13809788 4.71238898 1.77599887 0.13732886 4.83805269 1.76657141 0.13654085 4.96371639 1.75672669 0.13573566 5.08938010 1.74652465 0.13491570 5.21504380 1.73601941 0.13408354 5.34070751 1.72525947 0.13324156 5.46637122 1.71428792 0.13239167 5.59203492 1.70314285 0.13153522 5.71769863 1.69185792 0.13067306 5.84336234 1.68046296 0.12980580 5.96902604 1.66898452 0.12893386 6.09468975 1.65744637 0.12805775 6.22035345 1.64586989 0.12717807 6.34601716 1.63427425 0.12629553 6.47168087 1.62267673 0.12541099 6.59734457 1.61109293 0.12452552 6.72300828 1.59953685 0.12364026 6.84867198 1.58802104 0.12275642 6.97433569 1.57655688 0.12187539 7.09999940 1.56515445 0.12099852 7.22566310 1.55382281 0.12012716 7.35132681 1.54256994 0.11926263 7.47699052 1.53140274 0.11840600 7.60265422 1.52032721 0.11755827 7.72831793 1.50934832 0.11672010 7.85398163 1.49847014 0.11589193 7.97964534 1.48769593 0.11507392 8.10530905 1.47702817 0.11426604 8.23097275 1.46646863 0.11346798 8.35663646 1.45601858 0.11267934 8.48230016 1.44567879 0.11189962 8.60796387 1.43544970 0.11112830 8.73362758 1.42533139 0.11036481 8.85929128 1.41532393 0.10960877 8.98495499 1.40542705 0.10885976 9.11061870 1.39564059 0.10811759 9.23628240 1.38596414 0.10738202 9.36194611 1.37639726 0.10665293 9.48760981 1.36693945 0.10593029 9.61327352 1.35759001 0.10521397 9.73893723 1.34834819 0.10450392 9.86460093 1.33921302 0.10379998 9.99026464 1.33018352 0.10310203 10.11592834 1.32125850 0.10240987 10.24159205 1.31243679 0.10172335 10.36725576 1.30371717 0.10104231 10.49291946 1.29509827 0.10036654 10.61858317 1.28657889 0.09969596 10.74424688 1.27815771 0.09903046 10.86991058 1.26983359 0.09837008 10.99557429 1.26160528 0.09771479 11.12123799 1.25347166 0.09706468 11.24690170 1.24543157 0.09641981 11.37256541 1.23748391 0.09578031 11.49822911 1.22962756 0.09514628 11.62389282 1.22186142 0.09451785 11.74955652 1.21418431 0.09389505 11.87522023 1.20659512 0.09327799 12.00088394 1.19909265 0.09266670 12.12654764 1.19167570 0.09206118 12.25221135 1.18434307 0.09146142 12.37787506 1.17709346 0.09086736 12.50353876 1.16992573 0.09027901 12.62920247 1.16283853 0.08969621 12.75486617 1.15583072 0.08911899 12.88052988 1.14890104 0.08854722 13.00619359 1.14204830 0.08798087 13.13185729 1.13527127 0.08741984 13.25752100 1.12856889 0.08686414 13.38318470 1.12193996 0.08631369 13.50884841 1.11538346 0.08576852 13.63451212 1.10889823 0.08522853 13.76017582 1.10248334 0.08469382 13.88583953 1.09613766 0.08416429 14.01150324 1.08986025 0.08363999 14.13716694 1.08365009 0.08312089 14.26283065 1.07750627 0.08260702 14.38849435 1.07142779 0.08209836 14.51415806 1.06541366 0.08159485 14.63982177 1.05946305 0.08109654 14.76548547 1.05357491 0.08060333 14.89114918 1.04774835 0.08011517 15.01681288 1.04198251 0.07963209 15.14247659 1.03627642 0.07915397 15.26814030 1.03062921 0.07868076 15.39380400 1.02503998 0.07821240 15.51946771 1.01950789 0.07774883 15.64513141 1.01403203 0.07728996 15.77079512 1.00861162 0.07683576 15.89645883 1.00324577 0.07638611 16.02212253 0.99793372 0.07594098 16.14778624 0.99267465 0.07550030 16.27344995 0.98746777 0.07506398 16.39911365 0.98231237 0.07463201 16.52477736 0.97720764 0.07420430 16.65044106 0.97215292 0.07378082 16.77610477 0.96714745 0.07336149 16.90176848 0.96219056 0.07294631 17.02743218 0.95728155 0.07253518 17.15309589 0.95241977 0.07212810 17.27875959 0.94760455 0.07172501 17.40442330 0.94283525 0.07132586 17.53008701 0.93811125 0.07093063 17.65575071 0.93343192 0.07053926 17.78141442 0.92879666 0.07015173 17.90707813 0.92420484 0.06976796 18.03274183 0.91965587 0.06938792 18.15840554 0.91514921 0.06901159 18.28406924 0.91068426 0.06863891 18.40973295 0.90626043 0.06826981 18.53539666 0.90187722 0.06790430 18.66106036 0.89753403 0.06754226 18.78672407 0.89323034 0.06718369 18.91238777 0.88896563 0.06682854 19.03805148 0.88473935 0.06647674 19.16371519 0.88055099 0.06612824 19.28937889 0.87640008 0.06578302 19.41504260 0.87228608 0.06544100 19.54070631 0.86820850 0.06510213 19.66637001 0.86416689 0.06476639 19.79203372 0.86016073 0.06443369 19.91769742 0.85618959 0.06410402 20.04336113 0.85225302 0.06377733 20.16902484 0.84835054 0.06345356 20.29468854 0.84448170 0.06313264 20.42035225 0.84064610 0.06281458 20.54601595 0.83684329 0.06249930 20.67167966 0.83307286 0.06218676 20.79734337 0.82933441 0.06187694 20.92300707 0.82562751 0.06156978 21.04867078 0.82195179 0.06126526 21.17433449 0.81830684 0.06096332 21.29999819 0.81469230 0.06066395 21.42566190 0.81110778 0.06036711 21.55132560 0.80755292 0.06007275 21.67698931 0.80402738 0.05978087 21.80265302 0.80053078 0.05949142 21.92831672 0.79706280 0.05920438 22.05398043 0.79362308 0.05891973 22.17964413 0.79021130 0.05863744 22.30530784 0.78682715 0.05835750 22.43097155 0.78347029 0.05807987 22.55663525 0.78014043 0.05780455 22.68229896 0.77683723 0.05753151 22.80796267 0.77356043 0.05726074 22.93362637 0.77030970 0.05699221 23.05929008 0.76708478 0.05672592 23.18495378 0.76388537 0.05646185 23.31061749 0.76071118 0.05619998 23.43628120 0.75756195 0.05594031 23.56194490 0.75443740 0.05568280 23.68760861 0.75133728 0.05542747 23.81327231 0.74826129 0.05517427 23.93893602 0.74520921 0.05492322 24.06459973 0.74218075 0.05467428 24.19026343 0.73917569 0.05442746 24.31592714 0.73619375 0.05418272 24.44159084 0.73323471 0.05394006 24.56725455 0.73029830 0.05369946 24.69291826 0.72738430 0.05346092 24.81858196 0.72449246 0.05322440 24.94424567 0.72162255 0.05298990 25.06990938 0.71877433 0.05275739 25.19557308 0.71594758 0.05252686 25.44690049 0.71035757 0.05207167 25.57256420 0.70759386 0.05184696 25.82389161 0.70212794 0.05140326 25.94955532 0.69942529 0.05118421 26.20088273 0.69407955 0.05075164 26.32654644 0.69143604 0.05053806 26.57787385 0.68620671 0.05011624 26.82920126 0.68105296 0.04970139 26.95486497 0.67850393 0.04949652 27.20619238 0.67346059 0.04909179 27.45751979 0.66848894 0.04869359 27.58318350 0.66602955 0.04849691 27.83451091 0.66116268 0.04810822 28.08583832 0.65636387 0.04772568 28.21150203 0.65398954 0.04753665 28.46282944 0.64929021 0.04716300 28.71415685 0.64465551 0.04679511 28.96548427 0.64008416 0.04643282 29.09114797 0.63782184 0.04625374 29.34247538 0.63334312 0.04589959 29.59380280 0.62892465 0.04555072 29.84513021 0.62456523 0.04520697 30.09645762 0.62026370 0.04486824 30.34778503 0.61601895 0.04453441 30.47344874 0.61391752 0.04436930 30.72477615 0.60975590 0.04404260 30.97610356 0.60564837 0.04372052 31.22743098 0.60159391 0.04340297 31.47875839 0.59759154 0.04308984 31.73008580 0.59364027 0.04278103 31.98141321 0.58973915 0.04247645 32.23274063 0.58588728 0.04217603 32.48406804 0.58208374 0.04187966 32.73539545 0.57832765 0.04158728 32.98672286 0.57461816 0.04129879 33.23805027 0.57095443 0.04101413 33.48937769 0.56733565 0.04073321 33.74070510 0.56376101 0.04045596 33.99203251 0.56022975 0.04018232 34.24335992 0.55674108 0.03991221 34.49468734 0.55329428 0.03964557 34.74601475 0.54988862 0.03938234 34.99734216 0.54652338 0.03912244 35.37433328 0.54154981 0.03873873 35.62566069 0.53828263 0.03848692 35.87698810 0.53505352 0.03823824 36.12831552 0.53186183 0.03799264 36.37964293 0.52870693 0.03775005 36.75663405 0.52404224 0.03739172 37.00796146 0.52097668 0.03715646 37.25928887 0.51794581 0.03692403 37.51061628 0.51494908 0.03669439 37.88760740 0.51051677 0.03635506 38.13893481 0.50760297 0.03613218 38.39026223 0.50472139 0.03591193 38.76725335 0.50045835 0.03558638 39.01858076 0.49765513 0.03537250 39.39557188 0.49350727 0.03505630 39.64689929 0.49077933 0.03484853 39.89822670 0.48808067 0.03464312 40.27521782 0.48408661 0.03433937 40.52654523 0.48145919 0.03413973 40.90353635 0.47756992 0.03384444 41.15486376 0.47501103 0.03365032 41.53185488 0.47122259 0.03336316 41.78318229 0.46872965 0.03317435 42.16017341 0.46503826 0.03289499 42.53716453 0.46140337 0.03262017 42.78849194 0.45901087 0.03243942 43.16548306 0.45546736 0.03217191 43.41681047 0.45313466 0.03199595 43.79380159 0.44967920 0.03173549 44.17079271 0.44627504 0.03147913 44.54778383 0.44292108 0.03122676 44.79911124 0.44071245 0.03106070 45.17610236 0.43743976 0.03081481 45.55309348 0.43421444 0.03057269 45.93008460 0.43103551 0.03033424 46.18141201 0.42894151 0.03017729 46.55840313 0.42583772 0.02994480 46.93539424 0.42277778 0.02971579 47.31238536 0.41976078 0.02949018 47.68937648 0.41678584 0.02926788 48.06636760 0.41385209 0.02904884 48.44335872 0.41095871 0.02883298 48.82034984 0.40810488 0.02862024 49.19734096 0.40528982 0.02841054 49.57433207 0.40251274 0.02820383 49.95132319 0.39977290 0.02800004 50.32831431 0.39706957 0.02779912 50.70530543 0.39440203 0.02760100 51.08229655 0.39176959 0.02740563 51.45928767 0.38917157 0.02721296 51.83627878 0.38660730 0.02702292 52.33893361 0.38323969 0.02677354 52.71592473 0.38075172 0.02658945 53.09291585 0.37829543 0.02640783 53.46990696 0.37587022 0.02622863 53.97256179 0.37268395 0.02599338 54.34955291 0.37032903 0.02581964 54.72654403 0.36800332 0.02564817 55.22919885 0.36494689 0.02542299 55.60618997 0.36268728 0.02525664 55.98318109 0.36045514 0.02509242 56.48583591 0.35752086 0.02487669 56.86282703 0.35535094 0.02471728 57.36548185 0.35249790 0.02450782 57.74247297 0.35038767 0.02435301 58.24512780 0.34761258 0.02414956 58.62211892 0.34555962 0.02399916 59.12477374 0.34285937 0.02380147 59.62742857 0.34020053 0.02360696 60.00441968 0.33823303 0.02346312 60.50707451 0.33564445 0.02327401 61.00972933 0.33309478 0.02308787 61.38672045 0.33120754 0.02295018 61.88937528 0.32872391 0.02276909 62.39203010 0.32627687 0.02259080 62.89468492 0.32386564 0.02241525 63.39733975 0.32148943 0.02224236 63.89999457 0.31914750 0.02207209 64.40264940 0.31683911 0.02190437 64.77964052 0.31512940 0.02178022 65.28229534 0.31287802 0.02161683 65.78495017 0.31065827 0.02145585 66.41326870 0.30792708 0.02125792 66.91592352 0.30577614 0.02110216 67.41857835 0.30365476 0.02094864 67.92123317 0.30156235 0.02079730 68.42388800 0.29949831 0.02064812 68.92654282 0.29746208 0.02050103 69.42919764 0.29545310 0.02035600 70.05751618 0.29297938 0.02017755 70.56017100 0.29102976 0.02003699 71.06282582 0.28910568 0.01989837 71.69114435 0.28673576 0.01972773 72.19379918 0.28486737 0.01959329 72.82211771 0.28256555 0.01942776 73.32477253 0.28075047 0.01929733 73.95309107 0.27851386 0.01913670 74.45574589 0.27674985 0.01901009 75.08406442 0.27457574 0.01885414 75.58671925 0.27286069 0.01873120 76.21503778 0.27074650 0.01857973 76.84335631 0.26866455 0.01843068 77.34601113 0.26702170 0.01831313 77.97432966 0.26499594 0.01816826 78.60264819 0.26300043 0.01802565 79.23096672 0.26103449 0.01788524 79.85928525 0.25909747 0.01774698 80.36194008 0.25756826 0.01763789 80.99025861 0.25568172 0.01750339 81.61857714 0.25382239 0.01737090 82.24689567 0.25198968 0.01724039 82.87521420 0.25018302 0.01711181 83.62919644 0.24804864 0.01696000 84.25751497 0.24629738 0.01683552 84.88583350 0.24457047 0.01671285 85.51415203 0.24286740 0.01659193 86.14247056 0.24118769 0.01647274 86.89645280 0.23920220 0.01633193 87.52477133 0.23757221 0.01621640 88.15308986 0.23596410 0.01610249 88.90707210 0.23406263 0.01596787 89.53539063 0.23250112 0.01585739 90.28937286 0.23065437 0.01572679 90.91769139 0.22913749 0.01561959 91.67167363 0.22734314 0.01549284 92.42565587 0.22557643 0.01536812 93.05397440 0.22412484 0.01526570 93.80795664 0.22240720 0.01514457 94.56193887 0.22071546 0.01502534 95.19025740 0.21932505 0.01492740 95.94423964 0.21767931 0.01481153 96.69822188 0.21605788 0.01469744 97.45220411 0.21446022 0.01458508 98.20618635 0.21288581 0.01447441 98.96016859 0.21133416 0.01436540 99.71415082 0.20980478 0.01425801 100.46813306 0.20829718 0.01415221 101.34777900 0.20656524 0.01403073 102.10176124 0.20510330 0.01392825 102.85574348 0.20366172 0.01382724 103.60972572 0.20224010 0.01372768 104.48937166 0.20060621 0.01361331 105.24335390 0.19922643 0.01351678 106.12299984 0.19764028 0.01340587 106.87698208 0.19630052 0.01331224 107.75662802 0.19476005 0.01320463 108.51061025 0.19345860 0.01311376 109.39025620 0.19196187 0.01300931 110.26990214 0.19048793 0.01290651 111.14954808 0.18903627 0.01280530 111.90353032 0.18780933 0.01271981 112.78317626 0.18639772 0.01262149 113.66282221 0.18500699 0.01252467 114.54246815 0.18363668 0.01242932 115.42211409 0.18228636 0.01233541 116.30176004 0.18095559 0.01224290 117.18140598 0.17964395 0.01215175 118.18671563 0.17816783 0.01204924 119.06636157 0.17689582 0.01196093 119.94600751 0.17564169 0.01187391 120.95131716 0.17422983 0.01177599 121.83096311 0.17301278 0.01169162 122.83627276 0.17164236 0.01159666 123.71591870 0.17046078 0.01151482 124.72122835 0.16913001 0.01142269 125.60087429 0.16798238 0.01134327 126.60618394 0.16668956 0.01125385 127.61149359 0.16541634 0.01116581 128.61680324 0.16416226 0.01107914 129.62211289 0.16292691 0.01099380 130.62742254 0.16170986 0.01090976 131.63273219 0.16051071 0.01082699 132.63804183 0.15932908 0.01074547 133.64335148 0.15816458 0.01066516 134.64866113 0.15701685 0.01058603 135.65397078 0.15588552 0.01050807 136.78494414 0.15463196 0.01042172 137.79025379 0.15353436 0.01034615 138.92122714 0.15231789 0.01026242 139.92653679 0.15125253 0.01018912 141.05751015 0.15007154 0.01010790 142.06281980 0.14903703 0.01003678 143.19379315 0.14788999 0.00995795 144.32476651 0.14676034 0.00988035 145.45573986 0.14564769 0.00980395 146.58671322 0.14455166 0.00972871 147.71768657 0.14347188 0.00965462 148.84865993 0.14240800 0.00958165 149.97963328 0.14135966 0.00950976 151.11060664 0.14032653 0.00943895 152.24157999 0.13930828 0.00936918 153.49821705 0.13819396 0.00929285 154.62919041 0.13720610 0.00922521 155.88582747 0.13612479 0.00915120 157.01680083 0.13516598 0.00908560 158.27343789 0.13411624 0.00901379 159.53007495 0.13308257 0.00894311 160.66104830 0.13216570 0.00888044 161.91768537 0.13116156 0.00881183 163.17432243 0.13017246 0.00874426 164.43095949 0.12919807 0.00867772 165.68759655 0.12823805 0.00861218 167.06989732 0.12719827 0.00854122 168.32653438 0.12626744 0.00847772 169.58317144 0.12535005 0.00841515 170.96547221 0.12435609 0.00834739 172.22210927 0.12346598 0.00828672 173.60441004 0.12250137 0.00822099 174.86104710 0.12163736 0.00816213 176.24334787 0.12070083 0.00809836 177.62564863 0.11977851 0.00803557 179.00794940 0.11887010 0.00797374 180.39025017 0.11797528 0.00791286 181.77255094 0.11709374 0.00785290 183.15485170 0.11622520 0.00779383 184.66281618 0.11529219 0.00773041 186.04511695 0.11444992 0.00767316 187.42741771 0.11361979 0.00761676 188.93538219 0.11272775 0.00755617 190.31768295 0.11192218 0.00750146 191.82564743 0.11105633 0.00744268 193.33361190 0.11020371 0.00738481 194.84157638 0.10936400 0.00732783 196.34954085 0.10853691 0.00727172 197.85750532 0.10772218 0.00721646 199.36546980 0.10691952 0.00716204 200.87343427 0.10612866 0.00710843 202.50706245 0.10528493 0.00705125 204.01502692 0.10451786 0.00699928 205.64865510 0.10369931 0.00694383 207.15661958 0.10295496 0.00689342 208.79024776 0.10216049 0.00683963 210.42387594 0.10137813 0.00678667 212.05750412 0.10060759 0.00673453 213.69113230 0.09984862 0.00668317 215.32476048 0.09910096 0.00663260 216.95838866 0.09836436 0.00658278 218.59201684 0.09763857 0.00653371 220.35130872 0.09686878 0.00648167 221.98493690 0.09616472 0.00643408 223.74422879 0.09541779 0.00638361 225.50352067 0.09468233 0.00633393 227.26281256 0.09395806 0.00628501 229.02210445 0.09324474 0.00623684 230.78139633 0.09254212 0.00618940 232.54068822 0.09184996 0.00614268 234.29998010 0.09116804 0.00609665 236.18493570 0.09044850 0.00604810 237.94422758 0.08978706 0.00600348 239.82918318 0.08908898 0.00595639 241.71413877 0.08840163 0.00591004 243.47343065 0.08776956 0.00586742 245.35838625 0.08710225 0.00582244 247.24334184 0.08644497 0.00577814 249.25396114 0.08575468 0.00573162 251.13891673 0.08511743 0.00568868