# omega total a= 1 L= 3 0.03141593 0.04758865 0.02046909 0.09424778 0.10953662 0.05156777 0.15707963 0.17025594 0.08177381 0.21991149 0.22918184 0.11068157 0.28274334 0.28586169 0.13797276 0.34557519 0.34003895 0.16348533 0.40840704 0.39161546 0.18718241 0.47123890 0.44060252 0.20911182 0.53407075 0.48707494 0.22936832 0.59690260 0.53114000 0.24806839 0.65973446 0.57291432 0.26533132 0.72256631 0.61251237 0.28126990 0.78539816 0.65003164 0.29597834 0.84823002 0.68555116 0.30953125 0.91106187 0.71914705 0.32199697 0.97389372 0.75088893 0.33343494 1.03672558 0.78082618 0.34388420 1.09955743 0.80901272 0.35338479 1.16238928 0.83553463 0.36200200 1.22522113 0.86051024 0.36982725 1.28805299 0.88408332 0.37697301 1.35088484 0.90641154 0.38356367 1.41371669 0.92764520 0.38971757 1.47654855 0.94790313 0.39552627 1.53938040 0.96725706 0.40104064 1.60221225 0.98573046 0.40626931 1.66504411 1.00330918 0.41118736 1.72787596 1.01995931 0.41575164 1.79070781 1.03564977 0.41992049 1.85353967 1.05037284 0.42367206 1.91637152 1.06415316 0.42701279 1.97920337 1.07704340 0.42997418 2.04203522 1.08911219 0.43260256 2.10486708 1.10043073 0.43494737 2.16769893 1.11106215 0.43705169 2.23053078 1.12105610 0.43894723 2.29336264 1.13044899 0.44065433 2.35619449 1.13926800 0.44218535 2.41902634 1.14753567 0.44354878 2.48185820 1.15527330 0.44475224 2.54469005 1.16250219 0.44580365 2.60752190 1.16924362 0.44671121 2.67035376 1.17551854 0.44748316 2.73318561 1.18134836 0.44812843 2.79601746 1.18675604 0.44865772 2.85884931 1.19176668 0.44908407 2.92168117 1.19640639 0.44942184 2.98451302 1.20069925 0.44968401 3.04734487 1.20466347 0.44987863 3.11017673 1.20830826 0.45000591 3.17300858 1.21163313 0.45005736 3.23584043 1.21463006 0.45001766 3.29867229 1.21728854 0.44986923 3.36150414 1.21960164 0.44959776 3.42433599 1.22157103 0.44919692 3.48716785 1.22320905 0.44867042 3.54999970 1.22453746 0.44803100 3.61283155 1.22558326 0.44729664 3.67566340 1.22637406 0.44648634 3.73849526 1.22693408 0.44561631 3.80132711 1.22728210 0.44469802 3.86415896 1.22743134 0.44373797 3.92699082 1.22739079 0.44273884 3.98982267 1.22716734 0.44170148 4.05265452 1.22676773 0.44062661 4.11548638 1.22619996 0.43951628 4.17831823 1.22547373 0.43837429 4.24115008 1.22460015 0.43720591 4.30398194 1.22359088 0.43601719 4.36681379 1.22245703 0.43481389 4.42964564 1.22120849 0.43360090 4.49247749 1.21985329 0.43238161 4.55530935 1.21839741 0.43115771 4.61814120 1.21684477 0.42992917 4.68097305 1.21519758 0.42869451 4.74380491 1.21345697 0.42745141 4.80663676 1.21162378 0.42619744 4.86946861 1.20969960 0.42493094 4.93230047 1.20768728 0.42365163 4.99513232 1.20559109 0.42236064 5.05796417 1.20341602 0.42105994 5.12079603 1.20116642 0.41975106 5.18362788 1.19884456 0.41843368 5.24645973 1.19644947 0.41710456 5.30929158 1.19397669 0.41575722 5.37212344 1.19141882 0.41438247 5.43495529 1.18876713 0.41296982 5.49778714 1.18601398 0.41150975 5.56061900 1.18315526 0.40999600 5.62345085 1.18019216 0.40842724 5.68628270 1.17713218 0.40680810 5.74911456 1.17398912 0.40514913 5.81194641 1.17078143 0.40346537 5.87477826 1.16753022 0.40177451 5.93761012 1.16425669 0.40009448 6.00044197 1.16097960 0.39844111 6.06327382 1.15771356 0.39682651 6.12610567 1.15446793 0.39525803 6.18893753 1.15124643 0.39373783 6.25176938 1.14804769 0.39226339 6.31460123 1.14486639 0.39082855 6.37743309 1.14169421 0.38942437 6.44026494 1.13852167 0.38804082 6.50309679 1.13533947 0.38666807 6.56592865 1.13213958 0.38529746 6.62876050 1.12891613 0.38392236 6.69159235 1.12566561 0.38253839 6.75442421 1.12238705 0.38114356 6.81725606 1.11908134 0.37973767 6.88008791 1.11575054 0.37832162 6.94291976 1.11239727 0.37689694 7.00575162 1.10902419 0.37546521 7.06858347 1.10563353 0.37402765 7.13141532 1.10222684 0.37258488 7.19424718 1.09880526 0.37113723 7.25707903 1.09536957 0.36968467 7.31991088 1.09192040 0.36822709 7.38274274 1.08845851 0.36676453 7.44557459 1.08498491 0.36529728 7.50840644 1.08150084 0.36382591 7.57123830 1.07800787 0.36235129 7.63407015 1.07450771 0.36087447 7.69690200 1.07100209 0.35939654 7.75973385 1.06749289 0.35791872 7.82256571 1.06398196 0.35644227 7.88539756 1.06047125 0.35496849 7.94822941 1.05696275 0.35349880 8.01106127 1.05345864 0.35203476 8.07389312 1.04996125 0.35057808 8.13672497 1.04647307 0.34913065 8.19955683 1.04299677 0.34769455 8.26238868 1.03953505 0.34627187 8.32522053 1.03609040 0.34486455 8.38805239 1.03266532 0.34347454 8.45088424 1.02926178 0.34210334 8.51371609 1.02588139 0.34075210 8.57654794 1.02252515 0.33942145 8.63937980 1.01919338 0.33811138 8.70221165 1.01588575 0.33682132 8.76504350 1.01260128 0.33555009 8.82787536 1.00933841 0.33429597 8.89070721 1.00609511 0.33305687 8.95353906 1.00286905 0.33183036 9.01637092 0.99965772 0.33061392 9.07920277 0.99645866 0.32940504 9.14203462 0.99326953 0.32820135 9.20486648 0.99008827 0.32700076 9.26769833 0.98691318 0.32580148 9.33053018 0.98374297 0.32460217 9.39336203 0.98057677 0.32340185 9.45619389 0.97741413 0.32219995 9.58185759 0.97109953 0.31979082 9.70752130 0.96480184 0.31737622 9.77035315 0.96166106 0.31616815 9.89601686 0.95539969 0.31375378 10.02168056 0.94917077 0.31134620 10.14734427 0.94298028 0.30895032 10.27300798 0.93683319 0.30657013 10.39867168 0.93073346 0.30420878 10.52433539 0.92468419 0.30186870 10.64999910 0.91868786 0.29955180 10.77566280 0.91274659 0.29725968 10.90132651 0.90686205 0.29499362 11.02699021 0.90103551 0.29275455 11.15265392 0.89526793 0.29054314 11.27831763 0.88955987 0.28835978 11.40398133 0.88391157 0.28620454 11.52964504 0.87832297 0.28407729 11.65530874 0.87279380 0.28197773 11.78097245 0.86732365 0.27990545 11.96946801 0.85922804 0.27684726 12.09513172 0.85390337 0.27484138 12.22079542 0.84863608 0.27286142 12.34645913 0.84342577 0.27090709 12.53495469 0.83571628 0.26802313 12.66061839 0.83064669 0.26613185 12.78628210 0.82563264 0.26426535 12.97477766 0.81821456 0.26151141 13.10044137 0.81333701 0.25970547 13.28893692 0.80612085 0.25704065 13.41460063 0.80137586 0.25529288 13.60309619 0.79435534 0.25271333 13.72875990 0.78973865 0.25102113 13.91725546 0.78290738 0.24852307 14.04291916 0.77841473 0.24688396 14.23141472 0.77176630 0.24446370 14.41991028 0.76522439 0.24208830 14.54557399 0.76092105 0.24052889 14.73406955 0.75455101 0.23822490 14.92256510 0.74828060 0.23596169 15.11106066 0.74210720 0.23373771 15.29955622 0.73602828 0.23155150 15.42521993 0.73202698 0.23011433 15.61371549 0.72610032 0.22798815 15.80221105 0.72026213 0.22589648 15.99070661 0.71451045 0.22383836 16.17920217 0.70884344 0.22181292 16.36769773 0.70325936 0.21981941 16.55619328 0.69775656 0.21785711 16.74468884 0.69233346 0.21592539 16.99601626 0.68522399 0.21339624 17.18451182 0.67998094 0.21153348 17.37300737 0.67481263 0.20969931 17.56150293 0.66971761 0.20789317 17.81283035 0.66303587 0.20552767 18.00132591 0.65810651 0.20378485 18.18982146 0.65324591 0.20206831 18.44114888 0.64686981 0.19981956 18.62964444 0.64216461 0.19816234 18.88097185 0.63599113 0.19599091 19.06946741 0.63143453 0.19439037 19.32079482 0.62545484 0.19229282 19.50929038 0.62104040 0.19074644 19.76061779 0.61524609 0.18871949 20.01194520 0.60955410 0.18673147 20.20044076 0.60535072 0.18526540 20.45176817 0.59983173 0.18334315 20.70309559 0.59440826 0.18145717 20.95442300 0.58907797 0.17960656 21.20575041 0.58383859 0.17779043 21.45707782 0.57868792 0.17600791 21.70840524 0.57362382 0.17425816 21.95973265 0.56864421 0.17254037 22.21106006 0.56374707 0.17085375 22.46238747 0.55893044 0.16919753 22.71371489 0.55419241 0.16757096 23.02787415 0.54837762 0.16557833 23.27920156 0.54380980 0.16401584 23.53052898 0.53931477 0.16248071 23.84468824 0.53379581 0.16059927 24.09601565 0.52945851 0.15912331 24.41017492 0.52413164 0.15731384 24.66150233 0.51994411 0.15589391 24.97566160 0.51479973 0.15415261 25.28982086 0.50975279 0.15244764 25.54114827 0.50578359 0.15110910 25.85530754 0.50090534 0.14946687 26.16946680 0.49611727 0.14785810 26.48362607 0.49141693 0.14628184 26.79778534 0.48680199 0.14473715 27.11194460 0.48227019 0.14322317 27.42610387 0.47781934 0.14173902 27.74026313 0.47344733 0.14028389 28.05442240 0.46915213 0.13885697 28.43141351 0.46409650 0.13718083 28.74557278 0.45996343 0.13581331 29.05973205 0.45590108 0.13447162 29.43672316 0.45111714 0.13289473 29.75088243 0.44720425 0.13160749 30.12787355 0.44259480 0.13009403 30.50486467 0.43807658 0.12861364 30.81902393 0.43437918 0.12740450 31.19601505 0.43002144 0.12598209 31.57300617 0.42574771 0.12458994 31.94999729 0.42155562 0.12322713 32.32698841 0.41744288 0.12189276 32.70397952 0.41340729 0.12058600 33.08097064 0.40944673 0.11930602 33.45796176 0.40555916 0.11805203 33.89778473 0.40111328 0.11662088 34.27477585 0.39737717 0.11542065 34.65176697 0.39370804 0.11424411 35.09158994 0.38950970 0.11290053 35.46858106 0.38597974 0.11177304 35.90840403 0.38193920 0.11048494 36.34822700 0.37798003 0.10922536 36.78804997 0.37409983 0.10799338 37.16504109 0.37083504 0.10695871 37.60486406 0.36709543 0.10577570 38.10751889 0.36291039 0.10445452 38.54734186 0.35932386 0.10332459 38.98716483 0.35580560 0.10221823 39.42698780 0.35235373 0.10113475 39.92964263 0.34848765 0.09992362 40.36946560 0.34517192 0.09888689 40.87212042 0.34145689 0.09772749 41.31194339 0.33826951 0.09673460 41.81459822 0.33469697 0.09562376 42.31725304 0.33119714 0.09453761 42.81990787 0.32776784 0.09347535 43.32256269 0.32440701 0.09243621 43.82521752 0.32111262 0.09141947 44.32787234 0.31788276 0.09042441 44.89335902 0.31432399 0.08933007 45.39601384 0.31122518 0.08837890 45.89866867 0.30818534 0.08744741 46.46415535 0.30483394 0.08642225 47.02964202 0.30155284 0.08542044 47.59512870 0.29833988 0.08444119 48.16061538 0.29519298 0.08348376 48.72610206 0.29211015 0.08254744 49.29158873 0.28908948 0.08163156 49.85707541 0.28612914 0.08073546 50.42256209 0.28322736 0.07985853 51.05088062 0.28006977 0.07890590 51.61636730 0.27728613 0.07806748 52.24468583 0.27425585 0.07715625 52.87300436 0.27128956 0.07626576 53.50132289 0.26838526 0.07539532 54.12964142 0.26554106 0.07454426 54.75795995 0.26275514 0.07371195 55.38627848 0.26002574 0.07289779 56.07742887 0.25708670 0.07202248 56.70574740 0.25447062 0.07124457 57.39689778 0.25165239 0.07040782 58.08804816 0.24889453 0.06959027 58.71636670 0.24643818 0.06886317 59.40751708 0.24379038 0.06808050 60.16149932 0.24096463 0.06724651 60.85264970 0.23843007 0.06649957 61.54380008 0.23594715 0.06576888 62.29778232 0.23329559 0.06498966 63.05176456 0.23070173 0.06422851 63.74291494 0.22837314 0.06354613 64.49689718 0.22588480 0.06281791 65.25087942 0.22344901 0.06210603 66.06769350 0.22086764 0.06135265 66.82167574 0.21853618 0.06067313 67.63848983 0.21606425 0.05995361 68.39247207 0.21383064 0.05930429 69.20928616 0.21146142 0.05861642 70.02610025 0.20914314 0.05794420 70.84291434 0.20687418 0.05728710 71.72256028 0.20448408 0.05659579 72.53937437 0.20231273 0.05596852 73.41902031 0.20002440 0.05530826 74.23583440 0.19794455 0.05470886 75.11548035 0.19575170 0.05407760 75.99512629 0.19360604 0.05346065 76.93760409 0.19135781 0.05281497 77.81725003 0.18930526 0.05222615 78.75972783 0.18715357 0.05160957 79.70220562 0.18504942 0.05100730 80.58185156 0.18312709 0.05045764 81.58716121 0.18097767 0.04984370 82.52963901 0.17900717 0.04928147 83.47211681 0.17707843 0.04873171 84.47742646 0.17506567 0.04815858 85.48273610 0.17309745 0.04759870 86.48804575 0.17117231 0.04705162 87.49335540 0.16928887 0.04651691 88.56149690 0.16733192 0.04596187 89.56680655 0.16553036 0.04545138 90.63494806 0.16365761 0.04492120 91.70308956 0.16182615 0.04440319 92.77123106 0.16003465 0.04389693 93.90220442 0.15817989 0.04337328 94.97034592 0.15646669 0.04289000 96.10131927 0.15469214 0.04238985 97.23229263 0.15295686 0.04190118 98.36326598 0.15125957 0.04142360 99.55707119 0.14950785 0.04093112 100.75087640 0.14779571 0.04045016 101.88184976 0.14620902 0.04000478 103.13848682 0.14448502 0.03952124 104.33229203 0.14288400 0.03907255 105.52609723 0.14131765 0.03863388 106.78273430 0.13970509 0.03818261 108.03937136 0.13812849 0.03774173 109.35884027 0.13651048 0.03728959 110.61547733 0.13500396 0.03686890 111.93494625 0.13345710 0.03643725 113.25441516 0.13194490 0.03601555 114.57388408 0.13046622 0.03560347 115.95618484 0.12895188 0.03518173 117.27565376 0.12753847 0.03478836 118.65795453 0.12609027 0.03438554 120.10308715 0.12461065 0.03397425 121.48538791 0.12322716 0.03358991 122.93052053 0.12181295 0.03319727 124.37565316 0.12043051 0.03281368 125.82078578 0.11907881 0.03243883 127.32875025 0.11770002 0.03205668 128.83671472 0.11635250 0.03168341 130.34467920 0.11503521 0.03131872 131.91547552 0.11369411 0.03094762 133.42344000 0.11243550 0.03059954 134.99423632 0.11115349 0.03024516 136.62786450 0.10985059 0.02988519 138.19866083 0.10862605 0.02954704 139.83228901 0.10738093 0.02920337 141.52874904 0.10611754 0.02885483 143.16237722 0.10492851 0.02852695 144.85883726 0.10372142 0.02819425 146.55529729 0.10254157 0.02786919 148.31458918 0.10134585 0.02753991 150.07388106 0.10017749 0.02721831 151.83317295 0.09903557 0.02690411 153.59246483 0.09791922 0.02659707 155.41458857 0.09678904 0.02628636 157.23671231 0.09568448 0.02598281 159.12166790 0.09456788 0.02567607 161.00662350 0.09347687 0.02537647 162.89157909 0.09241060 0.02508378 164.77653468 0.09136822 0.02479774 166.72432213 0.09031537 0.02450894 168.73494142 0.08925356 0.02421778 170.68272887 0.08824834 0.02394223 172.69334817 0.08723403 0.02366429 174.76679932 0.08621203 0.02338433 176.84025047 0.08521356 0.02311090 178.91370162 0.08423783 0.02284379 180.98715277 0.08328408 0.02258277 183.12343578 0.08232364 0.02232001 185.32255064 0.08135771 0.02205581 187.45883364 0.08044073 0.02180508 189.72078035 0.07949196 0.02154573 191.91989521 0.07859066 0.02129943 194.18184192 0.07768459 0.02105189 196.50662048 0.07677477 0.02080340 198.83139905 0.07588592 0.02056070 201.15617761 0.07501733 0.02032359 203.54378803 0.07414564 0.02008569 205.93139844 0.07329388 0.01985329 208.38184071 0.07243975 0.01962030 210.83228298 0.07160521 0.01939272 213.28272525 0.07078962 0.01917034 215.79599938 0.06997211 0.01894750 218.37210535 0.06915347 0.01872441 220.94821133 0.06835369 0.01850650 223.52431730 0.06757213 0.01829360 226.16325513 0.06678977 0.01808053 228.86502481 0.06600727 0.01786747 231.56679450 0.06524284 0.01765937 234.26856418 0.06449586 0.01745606 237.03316571 0.06374895 0.01725282 239.79776725 0.06301910 0.01705425 242.68803249 0.06227367 0.01685149 245.51546588 0.06156128 0.01665775 248.40573112 0.06084966 0.01646425 251.35882821 0.06013933 0.01627115 254.31192531 0.05944534 0.01608252 257.32785426 0.05875289 0.01589434 260.34378320 0.05807635 0.01571052 263.42254400 0.05740157 0.01552721 266.50130480 0.05674225 0.01534813 269.64289746 0.05608488 0.01516961 272.84732196 0.05542984 0.01499176 276.05174647 0.05478990 0.01481803 279.31900283 0.05415242 0.01464500 282.58625919 0.05352957 0.01447597 285.91634740 0.05290930 0.01430766 289.30926747 0.05229192 0.01414017 292.70218753 0.05168875 0.01397656 296.15793945 0.05108853 0.01381377 299.67652323 0.05049154 0.01365188 303.19510700 0.04990832 0.01349375 306.77652262 0.04932834 0.01333652 310.42077010 0.04875184 0.01318025 314.06501758 0.04818864 0.01302761