# omega total a= 1 L= 3 0.03141593 0.04602994 0.01911004 0.09424778 0.10513980 0.04777505 0.15707963 0.16351828 0.07595851 0.21991149 0.22078832 0.10341095 0.28274334 0.27659399 0.12989594 0.34557519 0.33067229 0.15524867 0.40840704 0.38278456 0.17931843 0.47123890 0.43275353 0.20199887 0.53407075 0.48047390 0.22323691 0.59690260 0.52588245 0.24300804 0.65973446 0.56895833 0.26131695 0.72256631 0.60972223 0.27819748 0.78539816 0.64822960 0.29370755 0.84823002 0.68456183 0.30792252 0.91106187 0.71881293 0.32092457 0.97389372 0.75108736 0.33280150 1.03672558 0.78149612 0.34364398 1.09955743 0.81014914 0.35353959 1.16238928 0.83715298 0.36257125 1.22522113 0.86260894 0.37081595 1.28805299 0.88661208 0.37834425 1.35088484 0.90925200 0.38522113 1.41371669 0.93061266 0.39150612 1.47654855 0.95077229 0.39725339 1.53938040 0.96980312 0.40251168 1.60221225 0.98777097 0.40732403 1.66504411 1.00473617 0.41172871 1.72787596 1.02075507 0.41576059 1.79070781 1.03588030 0.41945149 1.85353967 1.05016032 0.42282981 1.91637152 1.06363942 0.42592057 1.97920337 1.07635830 0.42874591 2.04203522 1.08835451 0.43132554 2.10486708 1.09966250 0.43367675 2.16769893 1.11031361 0.43581447 2.23053078 1.12033657 0.43775162 2.29336264 1.12975805 0.43949965 2.35619449 1.13860315 0.44106894 2.41902634 1.14689562 0.44246899 2.48185820 1.15465811 0.44370869 2.54469005 1.16191235 0.44479639 2.60752190 1.16867935 0.44574011 2.67035376 1.17497944 0.44654761 2.73318561 1.18083249 0.44722648 2.79601746 1.18625782 0.44778416 2.85884931 1.19127426 0.44822792 2.92168117 1.19590012 0.44856485 2.98451302 1.20015317 0.44880186 3.04734487 1.20405057 0.44894558 3.11017673 1.20760867 0.44900223 3.17300858 1.21084275 0.44897733 3.23584043 1.21376671 0.44887544 3.29867229 1.21639288 0.44869995 3.36150414 1.21873196 0.44845308 3.42433599 1.22079309 0.44813581 3.48716785 1.22258399 0.44774814 3.54999970 1.22411135 0.44728928 3.61283155 1.22538111 0.44675804 3.67566340 1.22639905 0.44615323 3.73849526 1.22717115 0.44547413 3.80132711 1.22770403 0.44472075 3.86415896 1.22800525 0.44389419 3.92699082 1.22808331 0.44299666 3.98982267 1.22794785 0.44203161 4.05265452 1.22760934 0.44100344 4.11548638 1.22707900 0.43991751 4.17831823 1.22636861 0.43877983 4.24115008 1.22549015 0.43759684 4.30398194 1.22445565 0.43637522 4.36681379 1.22327696 0.43512163 4.42964564 1.22196551 0.43384253 4.49247749 1.22053217 0.43254403 4.55530935 1.21898713 0.43123173 4.61814120 1.21733978 0.42991064 4.68097305 1.21559869 0.42858514 4.74380491 1.21377150 0.42725886 4.80663676 1.21186485 0.42593463 4.86946861 1.20988442 0.42461448 4.93230047 1.20783474 0.42329950 4.99513232 1.20571924 0.42198984 5.05796417 1.20354022 0.42068469 5.12079603 1.20129888 0.41938235 5.18362788 1.19899546 0.41808028 5.24645973 1.19662940 0.41677531 5.30929158 1.19419954 0.41546381 5.37212344 1.19170446 0.41414197 5.43495529 1.18914273 0.41280609 5.49778714 1.18651322 0.41145284 5.56061900 1.18381542 0.41007953 5.62345085 1.18104960 0.40868431 5.68628270 1.17821692 0.40726626 5.74911456 1.17531955 0.40582547 5.81194641 1.17236058 0.40436298 5.87477826 1.16934385 0.40288061 5.93761012 1.16627372 0.40138076 6.00044197 1.16315487 0.39986618 6.06327382 1.15999201 0.39833974 6.12610567 1.15678953 0.39680405 6.18893753 1.15355133 0.39526136 6.25176938 1.15028060 0.39371327 6.31460123 1.14697987 0.39216082 6.37743309 1.14365088 0.39060436 6.44026494 1.14029479 0.38904375 6.50309679 1.13691227 0.38747839 6.56592865 1.13350386 0.38590762 6.62876050 1.13007018 0.38433088 6.69159235 1.12661221 0.38274797 6.75442421 1.12313146 0.38115923 6.81725606 1.11963019 0.37956575 6.88008791 1.11611142 0.37796931 6.94291976 1.11257883 0.37637240 7.00575162 1.10903672 0.37477812 7.06858347 1.10548972 0.37318993 7.13141532 1.10194256 0.37161138 7.19424718 1.09839972 0.37004589 7.25707903 1.09486530 0.36849653 7.31991088 1.09134274 0.36696581 7.38274274 1.08783471 0.36545554 7.44557459 1.08434293 0.36396669 7.50840644 1.08086827 0.36249949 7.57123830 1.07741077 0.36105338 7.63407015 1.07396980 0.35962722 7.69690200 1.07054414 0.35821935 7.75973385 1.06713221 0.35682777 7.82256571 1.06373225 0.35545038 7.88539756 1.06034257 0.35408509 7.94822941 1.05696153 0.35272994 8.01106127 1.05358783 0.35138324 8.07389312 1.05022047 0.35004366 8.13672497 1.04685886 0.34871020 8.19955683 1.04350279 0.34738228 8.26238868 1.04015236 0.34605959 8.32522053 1.03680793 0.34474210 8.38805239 1.03347000 0.34342992 8.45088424 1.03013915 0.34212323 8.51371609 1.02681595 0.34082225 8.57654794 1.02350091 0.33952713 8.63937980 1.02019437 0.33823790 8.70221165 1.01689654 0.33695446 8.76504350 1.01360745 0.33567656 8.82787536 1.01032697 0.33440383 8.89070721 1.00705487 0.33313579 8.95353906 1.00379082 0.33187192 9.01637092 1.00053450 0.33061169 9.07920277 0.99728560 0.32935459 9.14203462 0.99404385 0.32810018 9.20486648 0.99080909 0.32684810 9.26769833 0.98758129 0.32559816 9.33053018 0.98436053 0.32435025 9.39336203 0.98114701 0.32310440 9.45619389 0.97794105 0.32186074 9.58185759 0.97155352 0.31938106 9.70752130 0.96520210 0.31691399 9.77035315 0.96204142 0.31568627 9.89601686 0.95575312 0.31324472 10.02168056 0.94951262 0.31082449 10.14734427 0.94332381 0.30842851 10.27300798 0.93718975 0.30605898 10.39867168 0.93111259 0.30371737 10.52433539 0.92509357 0.30140434 10.64999910 0.91913323 0.29911997 10.77566280 0.91323154 0.29686388 10.90132651 0.90738809 0.29463537 11.02699021 0.90160222 0.29243358 11.15265392 0.89587323 0.29025765 11.27831763 0.89020046 0.28810681 11.40398133 0.88458335 0.28598042 11.52964504 0.87902148 0.28387799 11.65530874 0.87351454 0.28179920 11.78097245 0.86806233 0.27974384 11.96946801 0.85998639 0.27670452 12.09513172 0.85467055 0.27470741 12.22079542 0.84940912 0.27273358 12.34645913 0.84420206 0.27078307 12.53495469 0.83649329 0.26790120 12.66061839 0.83142197 0.26600938 12.78628210 0.82640493 0.26414127 12.97477766 0.81898111 0.26138392 13.10044137 0.81409967 0.25957576 13.28893692 0.80687890 0.25690889 13.41460063 0.80213224 0.25516113 13.60309619 0.79511195 0.25258428 13.72875990 0.79049730 0.25089570 13.91725546 0.78367163 0.24840555 14.04291916 0.77918399 0.24677296 14.23141472 0.77254413 0.24436358 14.41991028 0.76601102 0.24199938 14.54557399 0.76171316 0.24044713 14.73406955 0.75535022 0.23815296 14.92256510 0.74908523 0.23589811 15.11106066 0.74291547 0.23368092 15.29955622 0.73683852 0.23150003 15.42521993 0.73283772 0.23006571 15.61371549 0.72691080 0.22794292 15.80221105 0.72107141 0.22585381 15.99070661 0.71531781 0.22379764 16.17920217 0.70964835 0.22177372 16.36769773 0.70406146 0.21978141 16.55619328 0.69855558 0.21782011 16.74468884 0.69312919 0.21588922 16.99601626 0.68601511 0.21336100 17.18451182 0.68076847 0.21149884 17.37300737 0.67559647 0.20966520 17.56150293 0.67049769 0.20785954 17.81283035 0.66381084 0.20549459 18.00132591 0.65887759 0.20375214 18.18982146 0.65401305 0.20203592 18.44114888 0.64763165 0.19978756 18.62964444 0.64292243 0.19813058 18.88097185 0.63674355 0.19595944 19.06946741 0.63218289 0.19435909 19.32079482 0.62619776 0.19226176 19.50929038 0.62177922 0.19071552 19.76061779 0.61597944 0.18868873 20.01194520 0.61028199 0.18670084 20.20044076 0.60607451 0.18523486 20.45176817 0.60055007 0.18331270 20.70309559 0.59512116 0.18142680 20.95442300 0.58978545 0.17957625 21.20575041 0.58454068 0.17776016 21.45707782 0.57938465 0.17597767 21.70840524 0.57431522 0.17422795 21.95973265 0.56933031 0.17251018 22.21106006 0.56442791 0.17082357 22.46238747 0.55960606 0.16916735 22.71371489 0.55486287 0.16754078 23.02787415 0.54904167 0.16554815 23.27920156 0.54446877 0.16398566 23.53052898 0.53996872 0.16245053 23.84468824 0.53444354 0.16056908 24.09601565 0.53010132 0.15909311 24.41017492 0.52476839 0.15728363 24.66150233 0.52057605 0.15586370 24.97566160 0.51542573 0.15412240 25.28982086 0.51037294 0.15241742 25.54114827 0.50639911 0.15107888 25.85530754 0.50151516 0.14943665 26.16946680 0.49672145 0.14782788 26.48362607 0.49201557 0.14625163 26.79778534 0.48739516 0.14470696 27.11194460 0.48285796 0.14319299 27.42610387 0.47840180 0.14170886 27.74026313 0.47402455 0.14025375 28.05442240 0.46972419 0.13882686 28.43141351 0.46466247 0.13715075 28.74557278 0.46052440 0.13578326 29.05973205 0.45645713 0.13444161 29.43672316 0.45166738 0.13286477 29.75088243 0.44774972 0.13157757 30.12787355 0.44313464 0.13006418 30.50486467 0.43861089 0.12858385 30.81902393 0.43490897 0.12737476 31.19601505 0.43054588 0.12595243 31.57300617 0.42626689 0.12456035 31.94999729 0.42206964 0.12319761 32.32698841 0.41795183 0.12186333 32.70397952 0.41391125 0.12055665 33.08097064 0.40994580 0.11927676 33.45796176 0.40605341 0.11802287 33.89778473 0.40160202 0.11659183 34.27477585 0.39786127 0.11539170 34.65176697 0.39418759 0.11421526 35.09158994 0.38998403 0.11287180 35.46858106 0.38644967 0.11174441 35.90840403 0.38240410 0.11045645 36.34822700 0.37844000 0.10919699 36.78804997 0.37455495 0.10796515 37.16504109 0.37128609 0.10693059 37.60486406 0.36754182 0.10574772 38.10751889 0.36335155 0.10442669 38.54734186 0.35976054 0.10329690 38.98716483 0.35623788 0.10219069 39.42698780 0.35278169 0.10110735 39.92964263 0.34891078 0.09989638 40.36946560 0.34559090 0.09885979 40.87212042 0.34187123 0.09770055 41.31194339 0.33867985 0.09670781 41.81459822 0.33510284 0.09559713 42.31725304 0.33159863 0.09451115 42.81990787 0.32816505 0.09344905 43.32256269 0.32480000 0.09241008 43.82521752 0.32150149 0.09139350 44.32787234 0.31826759 0.09039862 44.89335902 0.31470436 0.08930446 45.39601384 0.31160168 0.08835346 45.89866867 0.30855803 0.08742213 46.46415535 0.30520244 0.08639716 47.02964202 0.30191724 0.08539553 47.59512870 0.29870026 0.08441646 48.16061538 0.29554942 0.08345921 48.72610206 0.29246273 0.08252308 49.29158873 0.28943829 0.08160738 49.85707541 0.28647425 0.08071146 50.42256209 0.28356884 0.07983470 51.05088062 0.28040732 0.07888227 51.61636730 0.27762020 0.07804402 52.24468583 0.27458615 0.07713299 52.87300436 0.27161615 0.07624269 53.50132289 0.26870823 0.07537244 54.12964142 0.26586048 0.07452156 54.75795995 0.26307109 0.07368944 55.38627848 0.26033830 0.07287546 56.07742887 0.25739560 0.07200035 56.70574740 0.25477627 0.07122262 57.39689778 0.25195453 0.07038606 58.08804816 0.24919325 0.06956871 58.71636670 0.24673385 0.06884177 59.40751708 0.24408276 0.06805929 60.16149932 0.24125349 0.06722550 60.85264970 0.23871579 0.06647875 61.54380008 0.23622979 0.06574823 62.29778232 0.23357495 0.06496921 63.05176456 0.23097788 0.06420825 63.74291494 0.22864641 0.06352605 64.49689718 0.22615499 0.06279801 65.25087942 0.22371618 0.06208631 66.06769350 0.22113163 0.06133313 66.82167574 0.21879729 0.06065378 67.63848983 0.21632231 0.05993445 68.39247207 0.21408594 0.05928530 69.20928616 0.21171381 0.05859762 70.02610025 0.20939267 0.05792557 70.84291434 0.20712091 0.05726865 71.72256028 0.20472788 0.05657753 72.53937437 0.20255385 0.05595043 73.41902031 0.20026271 0.05529035 74.23583440 0.19818032 0.05469111 75.11548035 0.19598477 0.05406004 75.99512629 0.19383648 0.05344326 76.93760409 0.19158549 0.05279775 77.81725003 0.18953043 0.05220910 78.75972783 0.18737610 0.05159270 79.70220562 0.18526938 0.05099060 80.58185156 0.18334470 0.05044110 81.58716121 0.18119265 0.04982734 82.52963901 0.17921975 0.04926527 83.47211681 0.17728865 0.04871567 84.47742646 0.17527344 0.04814270 85.48273610 0.17330282 0.04758299 86.48804575 0.17137533 0.04703607 87.49335540 0.16948960 0.04650152 88.56149690 0.16753027 0.04594664 89.56680655 0.16572652 0.04543630 90.63494806 0.16385150 0.04490628 91.70308956 0.16201781 0.04438842 92.77123106 0.16022414 0.04388232 93.90220442 0.15836713 0.04335882 94.97034592 0.15665185 0.04287569 96.10131927 0.15487516 0.04237570 97.23229263 0.15313778 0.04188718 98.36326598 0.15143843 0.04140975 99.55707119 0.14968459 0.04091741 100.75087640 0.14797039 0.04043660 101.88184976 0.14638178 0.03999136 103.13848682 0.14465569 0.03950797 104.33229203 0.14305274 0.03905941 105.52609723 0.14148450 0.03862089 106.78273430 0.13987000 0.03816976 108.03937136 0.13829151 0.03772901 109.35884027 0.13667154 0.03727701 110.61547733 0.13516322 0.03685646 111.93494625 0.13361450 0.03642494 113.25441516 0.13210048 0.03600338 114.57388408 0.13062002 0.03559143 115.95618484 0.12910386 0.03516983 117.27565376 0.12768876 0.03477657 118.65795453 0.12623882 0.03437389 120.10308715 0.12475742 0.03396273 121.48538791 0.12337228 0.03357851 122.93052053 0.12195637 0.03318600 124.37565316 0.12057228 0.03280253 125.82078578 0.11921896 0.03242780 127.32875025 0.11783852 0.03204578 128.83671472 0.11648939 0.03167263 130.34467920 0.11517053 0.03130805 131.91547552 0.11382783 0.03093708 133.42344000 0.11256771 0.03058911 134.99423632 0.11128417 0.03023484 136.62786450 0.10997972 0.02987499 138.19866083 0.10875372 0.02953695 139.83228901 0.10750712 0.02919340 141.52874904 0.10624222 0.02884497 143.16237722 0.10505178 0.02851720 144.85883726 0.10384325 0.02818460 146.55529729 0.10266200 0.02785966 148.31458918 0.10146485 0.02753048 150.07388106 0.10029510 0.02720898 151.83317295 0.09915183 0.02689489 153.59246483 0.09803415 0.02658795 155.41458857 0.09690262 0.02627734 157.23671231 0.09579675 0.02597389 159.12166790 0.09467883 0.02566725 161.00662350 0.09358653 0.02536776 162.89157909 0.09251899 0.02507516 164.77653468 0.09147538 0.02478922 166.72432213 0.09042128 0.02450052 168.73494142 0.08935822 0.02420946 170.68272887 0.08835180 0.02393400 172.69334817 0.08733629 0.02365615 174.76679932 0.08631308 0.02337628 176.84025047 0.08531343 0.02310295 178.91370162 0.08433655 0.02283592 180.98715277 0.08338167 0.02257499 183.12343578 0.08242010 0.02231231 185.32255064 0.08145302 0.02204821 187.45883364 0.08053495 0.02179756 189.72078035 0.07958507 0.02153830 191.91989521 0.07868270 0.02129209 194.18184192 0.07777556 0.02104463 196.50662048 0.07686467 0.02079622 198.83139905 0.07597477 0.02055360 201.15617761 0.07510516 0.02031657 203.54378803 0.07423243 0.02007875 205.93139844 0.07337968 0.01984643 208.38184071 0.07252453 0.01961352 210.83228298 0.07168902 0.01938601 213.28272525 0.07087246 0.01916372 215.79599938 0.07005399 0.01894095 218.37210535 0.06923438 0.01871793 220.94821133 0.06843366 0.01850010 223.52431730 0.06765118 0.01828727 226.16325513 0.06686790 0.01807427 228.86502481 0.06608448 0.01786129 231.56679450 0.06531915 0.01765326 234.26856418 0.06457129 0.01745002 237.03316571 0.06382350 0.01724684 239.79776725 0.06309279 0.01704834 242.68803249 0.06234649 0.01684565 245.51546588 0.06163326 0.01665198 248.40573112 0.06092080 0.01645855 251.35882821 0.06020963 0.01626551 254.31192531 0.05951483 0.01607694 257.32785426 0.05882157 0.01588883 260.34378320 0.05814424 0.01570507 263.42254400 0.05746866 0.01552182 266.50130480 0.05680857 0.01534281 269.64289746 0.05615043 0.01516435 272.84732196 0.05549462 0.01498655 276.05174647 0.05485392 0.01481289 279.31900283 0.05421569 0.01463991 282.58625919 0.05359212 0.01447094 285.91634740 0.05297112 0.01430269 289.30926747 0.05235300 0.01413526 292.70218753 0.05174913 0.01397170 296.15793945 0.05114821 0.01380897 299.67652323 0.05055051 0.01364713 303.19510700 0.04996661 0.01348905 306.77652262 0.04938594 0.01333188 310.42077010 0.04880877 0.01317566 314.06501758 0.04824491 0.01302307