# omega total a= 1 L= 3 0.03141593 0.04655694 0.01954045 0.09424778 0.10664745 0.04901097 0.15707963 0.16590167 0.07791464 0.21991149 0.22388940 0.10595852 0.28274334 0.28021470 0.13287322 0.34557519 0.33458025 0.15846516 0.40840704 0.38673024 0.18256868 0.47123890 0.43650922 0.20509459 0.53407075 0.48383723 0.22600975 0.59690260 0.52868855 0.24531973 0.65973446 0.57109952 0.26307601 0.72256631 0.61114870 0.27936008 0.78539816 0.64895040 0.29427889 0.84823002 0.68464231 0.30795516 0.91106187 0.71836797 0.32051329 0.97389372 0.75026241 0.33206771 1.03672558 0.78044671 0.34271864 1.09955743 0.80902769 0.35255211 1.16238928 0.83609596 0.36163851 1.22522113 0.86172192 0.37002943 1.28805299 0.88595878 0.37776017 1.35088484 0.90884979 0.38485622 1.41371669 0.93043461 0.39133884 1.47654855 0.95075429 0.39722968 1.53938040 0.96985417 0.40255348 1.60221225 0.98778517 0.40733944 1.66504411 1.00460562 0.41162313 1.72787596 1.02038261 0.41544787 1.79070781 1.03519092 0.41886411 1.85353967 1.04911006 0.42192697 1.91637152 1.06222011 0.42469278 1.97920337 1.07459805 0.42721582 2.04203522 1.08631443 0.42954544 2.10486708 1.09743022 0.43172316 2.16769893 1.10799410 0.43378021 2.23053078 1.11804127 0.43573629 2.29336264 1.12759399 0.43759983 2.35619449 1.13666301 0.43936921 2.41902634 1.14524961 0.44103442 2.48185820 1.15334792 0.44257906 2.54469005 1.16094806 0.44398308 2.60752190 1.16803962 0.44522597 2.67035376 1.17461514 0.44628982 2.73318561 1.18067294 0.44716206 2.79601746 1.18621878 0.44783698 2.85884931 1.19126685 0.44831678 2.92168117 1.19583958 0.44861151 2.98451302 1.19996670 0.44873828 3.04734487 1.20368340 0.44871973 3.11017673 1.20702775 0.44858163 3.17300858 1.21003807 0.44835056 3.23584043 1.21275025 0.44805139 3.29867229 1.21519565 0.44770533 3.36150414 1.21739963 0.44732852 3.42433599 1.21938084 0.44693127 3.48716785 1.22115122 0.44651802 3.54999970 1.22271646 0.44608767 3.61283155 1.22407708 0.44563452 3.67566340 1.22522952 0.44514919 3.73849526 1.22616768 0.44462009 3.80132711 1.22688438 0.44403468 3.86415896 1.22737279 0.44338085 3.92699082 1.22762774 0.44264806 3.98982267 1.22764688 0.44182848 4.05265452 1.22743118 0.44091749 4.11548638 1.22698548 0.43991418 4.17831823 1.22631855 0.43882141 4.24115008 1.22544265 0.43764550 4.30398194 1.22437304 0.43639576 4.36681379 1.22312733 0.43508384 4.42964564 1.22172439 0.43372285 4.49247749 1.22018361 0.43232658 4.55530935 1.21852401 0.43090870 4.61814120 1.21676348 0.42948206 4.68097305 1.21491817 0.42805808 4.74380491 1.21300204 0.42664637 4.80663676 1.21102641 0.42525423 4.86946861 1.20899990 0.42388661 4.93230047 1.20692812 0.42254581 4.99513232 1.20481380 0.42123160 5.05796417 1.20265693 0.41994126 5.12079603 1.20045497 0.41866984 5.18362788 1.19820326 0.41741048 5.24645973 1.19589559 0.41615494 5.30929158 1.19352473 0.41489409 5.37212344 1.19108317 0.41361856 5.43495529 1.18856377 0.41231940 5.49778714 1.18596045 0.41098868 5.56061900 1.18326891 0.40962017 5.62345085 1.18048707 0.40820974 5.68628270 1.17761534 0.40675566 5.74911456 1.17465689 0.40525884 5.81194641 1.17161765 0.40372279 5.87477826 1.16850572 0.40215318 5.93761012 1.16533114 0.40055753 6.00044197 1.16210514 0.39894458 6.06327382 1.15883933 0.39732349 6.12610567 1.15554505 0.39570330 6.18893753 1.15223265 0.39409217 6.25176938 1.14891086 0.39249683 6.31460123 1.14558644 0.39092229 6.37743309 1.14226396 0.38937153 6.44026494 1.13894578 0.38784554 6.50309679 1.13563219 0.38634345 6.56592865 1.13232172 0.38486277 6.62876050 1.12901167 0.38339990 6.69159235 1.12569851 0.38195052 6.75442421 1.12237851 0.38051012 6.81725606 1.11904816 0.37907445 6.88008791 1.11570465 0.37763995 6.94291976 1.11234605 0.37620390 7.00575162 1.10897164 0.37476474 7.06858347 1.10558177 0.37332196 7.13141532 1.10217774 0.37187596 7.19424718 1.09876156 0.37042782 7.25707903 1.09533569 0.36897913 7.31991088 1.09190271 0.36753154 7.38274274 1.08846487 0.36608651 7.44557459 1.08502391 0.36464500 7.50840644 1.08158086 0.36320735 7.57123830 1.07813596 0.36177319 7.63407015 1.07468858 0.36034136 7.69690200 1.07123730 0.35890995 7.75973385 1.06778038 0.35747684 7.82256571 1.06431580 0.35603959 7.88539756 1.06084166 0.35459595 7.94822941 1.05735655 0.35314408 8.01106127 1.05385983 0.35168292 8.07389312 1.05035197 0.35021246 8.13672497 1.04683453 0.34873369 8.19955683 1.04331035 0.34724884 8.26238868 1.03978329 0.34576111 8.32522053 1.03625794 0.34427439 8.38805239 1.03273959 0.34279325 8.45088424 1.02923345 0.34132221 8.51371609 1.02574469 0.33986577 8.57654794 1.02227782 0.33842784 8.63937980 1.01883648 0.33701154 8.70221165 1.01542344 0.33561918 8.76504350 1.01204024 0.33425196 8.82787536 1.00868732 0.33291005 8.89070721 1.00536415 0.33159275 8.95353906 1.00206929 0.33029850 9.01637092 0.99880066 0.32902517 9.07920277 0.99555571 0.32777019 9.14203462 0.99233164 0.32653076 9.20486648 0.98912564 0.32530407 9.26769833 0.98593506 0.32408751 9.33053018 0.98275759 0.32287874 9.39336203 0.97959121 0.32167571 9.45619389 0.97643435 0.32047682 9.58185759 0.97014539 0.31808727 9.70752130 0.96388699 0.31570552 9.77035315 0.96076946 0.31451744 9.89601686 0.95456001 0.31214840 10.02168056 0.94838875 0.30979191 10.14734427 0.94226064 0.30745185 10.27300798 0.93617968 0.30513128 10.39867168 0.93014876 0.30283230 10.52433539 0.92416970 0.30055613 10.64999910 0.91824344 0.29830321 10.77566280 0.91237058 0.29607371 10.90132651 0.90655143 0.29386763 11.02699021 0.90078620 0.29168489 11.15265392 0.89507523 0.28952559 11.27831763 0.88941893 0.28738996 11.40398133 0.88381777 0.28527829 11.52964504 0.87827230 0.28319099 11.65530874 0.87278310 0.28112857 11.78097245 0.86735073 0.27909152 11.96946801 0.85930988 0.27608459 12.09513172 0.85402172 0.27411301 12.22079542 0.84879173 0.27216819 12.34645913 0.84361991 0.27025020 12.53495469 0.83597061 0.26742320 12.66061839 0.83094255 0.26557130 12.78628210 0.82597072 0.26374490 12.97477766 0.81861616 0.26105142 13.10044137 0.81378025 0.25928524 13.28893692 0.80662413 0.25667795 13.41460063 0.80191684 0.25496645 13.60309619 0.79494839 0.25243730 13.72875990 0.79036298 0.25077561 13.91725546 0.78357303 0.24831825 14.04291916 0.77910404 0.24670276 14.23141472 0.77248529 0.24431267 14.41991028 0.76596638 0.24196138 14.54557399 0.76167495 0.24041495 14.73406955 0.75531823 0.23812633 14.92256510 0.74905647 0.23587427 15.11106066 0.74288800 0.23365809 15.29955622 0.73681115 0.23147713 15.42521993 0.73281003 0.23004239 15.61371549 0.72688230 0.22791868 15.80221105 0.72104190 0.22582848 15.99070661 0.71528725 0.22377119 16.17920217 0.70961679 0.22174619 16.36769773 0.70402896 0.21975289 16.55619328 0.69852224 0.21779068 16.74468884 0.69309512 0.21585897 16.99601626 0.68598020 0.21332982 17.18451182 0.68073305 0.21146706 17.37300737 0.67556061 0.20963291 17.56150293 0.67046148 0.20782681 17.81283035 0.66377428 0.20546139 18.00132591 0.65884083 0.20371866 18.18982146 0.65397616 0.20200222 18.44114888 0.64759465 0.19975364 18.62964444 0.64288541 0.19809656 18.88097185 0.63670658 0.19592534 19.06946741 0.63214600 0.19432498 19.32079482 0.62616102 0.19222768 19.50929038 0.62174264 0.19068151 19.76061779 0.61594311 0.18865485 20.01194520 0.61024594 0.18666713 20.20044076 0.60603870 0.18520131 20.45176817 0.60051461 0.18327938 20.70309559 0.59508607 0.18139375 20.95442300 0.58975077 0.17954349 21.20575041 0.58450642 0.17772772 21.45707782 0.57935083 0.17594556 21.70840524 0.57428185 0.17419619 21.95973265 0.56929741 0.17247879 22.21106006 0.56439548 0.17079256 22.46238747 0.55957412 0.16913673 22.71371489 0.55483141 0.16751055 23.02787415 0.54901083 0.16551842 23.27920156 0.54443842 0.16395633 23.53052898 0.53993886 0.16242160 23.84468824 0.53441430 0.16054067 24.09601565 0.53007258 0.15906511 24.41017492 0.52474025 0.15725614 24.66150233 0.52054840 0.15583662 24.97566160 0.51539869 0.15409582 25.28982086 0.51034648 0.15239135 25.54114827 0.50637313 0.15105321 25.85530754 0.50148975 0.14941147 26.16946680 0.49669662 0.14780319 26.48362607 0.49199129 0.14622741 26.79778534 0.48737143 0.14468322 27.11194460 0.48283477 0.14316971 27.42610387 0.47837914 0.14168604 27.74026313 0.47400241 0.14023138 28.05442240 0.46970255 0.13880493 28.43141351 0.46464142 0.13712934 28.74557278 0.46050383 0.13576227 29.05973205 0.45643703 0.13442103 29.43672316 0.45164783 0.13284467 29.75088243 0.44773062 0.13155787 30.12787355 0.44311606 0.13004493 30.50486467 0.43859282 0.12856505 30.81902393 0.43489130 0.12735633 31.19601505 0.43052869 0.12593441 31.57300617 0.42625017 0.12454275 31.94999729 0.42205336 0.12318041 32.32698841 0.41793599 0.12184652 32.70397952 0.41389584 0.12054022 33.08097064 0.40993079 0.11926070 33.45796176 0.40603880 0.11800716 33.89778473 0.40158786 0.11657653 34.27477585 0.39784748 0.11537673 34.65176697 0.39417416 0.11420062 35.09158994 0.38997100 0.11285752 35.46858106 0.38643698 0.11173044 35.90840403 0.38239179 0.11044282 36.34822700 0.37842806 0.10918370 36.78804997 0.37454336 0.10795218 37.16504109 0.37127479 0.10691788 37.60486406 0.36753085 0.10573532 38.10751889 0.36334094 0.10441463 38.54734186 0.35975024 0.10328511 38.98716483 0.35622788 0.10217917 39.42698780 0.35277197 0.10109610 39.92964263 0.34890137 0.09988542 40.36946560 0.34558175 0.09884907 40.87212042 0.34186237 0.09769011 41.31194339 0.33867124 0.09669759 41.81459822 0.33509450 0.09558717 42.31725304 0.33159055 0.09450143 42.81990787 0.32815721 0.09343957 43.32256269 0.32479240 0.09240083 43.82521752 0.32149412 0.09138447 44.32787234 0.31826044 0.09038979 44.89335902 0.31469746 0.08929586 45.39601384 0.31159497 0.08834505 45.89866867 0.30855152 0.08741391 46.46415535 0.30519615 0.08638915 47.02964202 0.30191115 0.08538772 47.59512870 0.29869436 0.08440884 48.16061538 0.29554371 0.08345177 48.72610206 0.29245720 0.08251581 49.29158873 0.28943293 0.08160028 49.85707541 0.28646906 0.08070453 50.42256209 0.28356381 0.07982793 51.05088062 0.28040246 0.07887566 51.61636730 0.27761548 0.07803756 52.24468583 0.27458158 0.07712669 52.87300436 0.27161174 0.07623654 53.50132289 0.26870396 0.07536643 54.12964142 0.26585635 0.07451569 54.75795995 0.26306709 0.07368370 55.38627848 0.26033443 0.07286985 56.07742887 0.25739186 0.07199488 56.70574740 0.25477264 0.07121727 57.39689778 0.25195103 0.07038084 58.08804816 0.24918986 0.06956361 58.71636670 0.24673056 0.06883678 59.40751708 0.24407958 0.06805441 60.16149932 0.24125043 0.06722074 60.85264970 0.23871282 0.06647409 61.54380008 0.23622692 0.06574368 62.29778232 0.23357217 0.06496476 63.05176456 0.23097520 0.06420390 63.74291494 0.22864381 0.06352179 64.49689718 0.22615248 0.06279384 65.25087942 0.22371375 0.06208224 66.06769350 0.22112929 0.06132915 66.82167574 0.21879502 0.06064988 67.63848983 0.21632012 0.05993064 68.39247207 0.21408382 0.05928157 69.20928616 0.21171176 0.05859397 70.02610025 0.20939068 0.05792200 70.84291434 0.20711900 0.05726516 71.72256028 0.20472603 0.05657411 72.53937437 0.20255207 0.05594709 73.41902031 0.20026098 0.05528708 74.23583440 0.19817864 0.05468790 75.11548035 0.19598315 0.05405690 75.99512629 0.19383492 0.05344018 76.93760409 0.19158399 0.05279474 77.81725003 0.18952897 0.05220615 78.75972783 0.18737470 0.05158981 79.70220562 0.18526803 0.05098777 80.58185156 0.18334338 0.05043832 81.58716121 0.18119138 0.04982462 82.52963901 0.17921852 0.04926261 83.47211681 0.17728747 0.04871306 84.47742646 0.17527230 0.04814015 85.48273610 0.17330171 0.04758048 86.48804575 0.17137427 0.04703361 87.49335540 0.16948857 0.04649911 88.56149690 0.16752928 0.04594427 89.56680655 0.16572556 0.04543398 90.63494806 0.16385057 0.04490401 91.70308956 0.16201692 0.04438620 92.77123106 0.16022327 0.04388014 93.90220442 0.15836630 0.04335668 94.97034592 0.15665104 0.04287359 96.10131927 0.15487438 0.04237363 97.23229263 0.15313702 0.04188515 98.36326598 0.15143770 0.04140775 99.55707119 0.14968388 0.04091546 100.75087640 0.14796971 0.04043468 101.88184976 0.14638112 0.03998948 103.13848682 0.14465506 0.03950612 104.33229203 0.14305213 0.03905760 105.52609723 0.14148391 0.03861910 106.78273430 0.13986943 0.03816801 108.03937136 0.13829095 0.03772729 109.35884027 0.13667101 0.03727533 110.61547733 0.13516270 0.03685480 111.93494625 0.13361400 0.03642331 113.25441516 0.13210000 0.03600178 114.57388408 0.13061955 0.03558985 115.95618484 0.12910342 0.03516828 117.27565376 0.12768832 0.03477505 118.65795453 0.12623840 0.03437239 120.10308715 0.12475702 0.03396125 121.48538791 0.12337189 0.03357707 122.93052053 0.12195599 0.03318458 124.37565316 0.12057191 0.03280113 125.82078578 0.11921861 0.03242642 127.32875025 0.11783818 0.03204442 128.83671472 0.11648906 0.03167130 130.34467920 0.11517021 0.03130674 131.91547552 0.11382752 0.03093579 133.42344000 0.11256742 0.03058784 134.99423632 0.11128388 0.03023360 136.62786450 0.10997944 0.02987377 138.19866083 0.10875345 0.02953575 139.83228901 0.10750686 0.02919221 141.52874904 0.10624197 0.02884380 143.16237722 0.10505154 0.02851605 144.85883726 0.10384301 0.02818347 146.55529729 0.10266177 0.02785854 148.31458918 0.10146463 0.02752938 150.07388106 0.10029489 0.02720790 151.83317295 0.09915163 0.02689382 153.59246483 0.09803395 0.02658690 155.41458857 0.09690244 0.02627631 157.23671231 0.09579657 0.02597287 159.12166790 0.09467865 0.02566625 161.00662350 0.09358636 0.02536677 162.89157909 0.09251883 0.02507419 164.77653468 0.09147522 0.02478827 166.72432213 0.09042113 0.02449957 168.73494142 0.08935807 0.02420853 170.68272887 0.08835166 0.02393308 172.69334817 0.08733615 0.02365524 174.76679932 0.08631294 0.02337539 176.84025047 0.08531330 0.02310207 178.91370162 0.08433643 0.02283506 180.98715277 0.08338155 0.02257414 183.12343578 0.08241998 0.02231147 185.32255064 0.08145291 0.02204738 187.45883364 0.08053485 0.02179675 189.72078035 0.07958496 0.02153750 191.91989521 0.07868260 0.02129129 194.18184192 0.07777547 0.02104385 196.50662048 0.07686458 0.02079545 198.83139905 0.07597468 0.02055284 201.15617761 0.07510507 0.02031582 203.54378803 0.07423235 0.02007801 205.93139844 0.07337960 0.01984571 208.38184071 0.07252446 0.01961281 210.83228298 0.07168894 0.01938530 213.28272525 0.07087238 0.01916302 215.79599938 0.07005392 0.01894026 218.37210535 0.06923431 0.01871725 220.94821133 0.06843359 0.01849943 223.52431730 0.06765112 0.01828661 226.16325513 0.06686784 0.01807362 228.86502481 0.06608442 0.01786064 231.56679450 0.06531909 0.01765262 234.26856418 0.06457123 0.01744939 237.03316571 0.06382345 0.01724622 239.79776725 0.06309274 0.01704773 242.68803249 0.06234644 0.01684505 245.51546588 0.06163321 0.01665138 248.40573112 0.06092076 0.01645796 251.35882821 0.06020959 0.01626493 254.31192531 0.05951479 0.01607637 257.32785426 0.05882153 0.01588827 260.34378320 0.05814420 0.01570452 263.42254400 0.05746862 0.01552128 266.50130480 0.05680853 0.01534227 269.64289746 0.05615039 0.01516382 272.84732196 0.05549458 0.01498603 276.05174647 0.05485389 0.01481237 279.31900283 0.05421566 0.01463940 282.58625919 0.05359209 0.01447044 285.91634740 0.05297109 0.01430219 289.30926747 0.05235298 0.01413476 292.70218753 0.05174911 0.01397121 296.15793945 0.05114819 0.01380849 299.67652323 0.05055049 0.01364666 303.19510700 0.04996658 0.01348859 306.77652262 0.04938592 0.01333142 310.42077010 0.04880875 0.01317521 314.06501758 0.04824489 0.01302262