# omega total a= 1 L= 3 0.03141593 0.04641001 0.01947725 0.09424778 0.10630464 0.04885379 0.15707963 0.16539020 0.07768392 0.21991149 0.22321300 0.10565422 0.28274334 0.27939218 0.13250689 0.34557519 0.33363080 0.15804794 0.40840704 0.38568884 0.18212428 0.47123890 0.43540627 0.20464255 0.53407075 0.48270389 0.22557009 0.59690260 0.52756107 0.24491673 0.65973446 0.57001634 0.26273595 0.72256631 0.61014914 0.27911038 0.78539816 0.64806364 0.29413886 0.84823002 0.68387901 0.30792892 0.91106187 0.71772315 0.32059214 0.97389372 0.74972264 0.33223611 1.03672558 0.77999278 0.34295646 1.09955743 0.80863683 0.35283650 1.16238928 0.83574454 0.36194611 1.22522113 0.86139459 0.37034417 1.28805299 0.88565690 0.37808069 1.35088484 0.90859189 0.38519637 1.41371669 0.93025229 0.39172430 1.47654855 0.95068633 0.39769291 1.53938040 0.96994091 0.40312889 1.60221225 0.98806465 0.40805998 1.66504411 1.00510955 0.41251674 1.72787596 1.02113101 0.41653273 1.79070781 1.03618696 0.42014390 1.85353967 1.05033695 0.42338794 1.91637152 1.06364123 0.42630364 1.97920337 1.07615953 0.42892981 2.04203522 1.08794902 0.43130356 2.10486708 1.09906223 0.43345850 2.16769893 1.10954569 0.43542339 2.23053078 1.11943905 0.43722140 2.29336264 1.12877475 0.43886968 2.35619449 1.13757836 0.44037956 2.41902634 1.14586933 0.44175718 2.48185820 1.15366229 0.44300457 2.54469005 1.16096874 0.44412113 2.60752190 1.16779906 0.44510539 2.67035376 1.17416429 0.44595667 2.73318561 1.18007756 0.44667637 2.79601746 1.18555466 0.44726852 2.85884931 1.19061403 0.44773989 2.92168117 1.19527615 0.44809939 2.98451302 1.19956259 0.44835726 3.04734487 1.20349483 0.44852404 3.11017673 1.20709312 0.44860950 3.17300858 1.21037545 0.44862170 3.23584043 1.21335684 0.44856630 3.29867229 1.21604897 0.44844616 3.36150414 1.21846021 0.44826141 3.42433599 1.22059601 0.44800966 3.48716785 1.22245951 0.44768665 3.54999970 1.22405242 0.44728694 3.61283155 1.22537579 0.44680472 3.67566340 1.22643109 0.44623471 3.73849526 1.22722091 0.44557285 3.80132711 1.22774953 0.44481684 3.86415896 1.22802345 0.44396666 3.92699082 1.22805145 0.44302459 3.98982267 1.22784491 0.44199553 4.05265452 1.22741737 0.44088665 4.11548638 1.22678443 0.43970725 4.17831823 1.22596327 0.43846830 4.24115008 1.22497187 0.43718181 4.30398194 1.22382840 0.43586014 4.36681379 1.22255038 0.43451527 4.42964564 1.22115392 0.43315808 4.49247749 1.21965315 0.43179777 4.55530935 1.21805966 0.43044137 4.61814120 1.21638233 0.42909350 4.68097305 1.21462723 0.42775628 4.74380491 1.21279777 0.42642949 4.80663676 1.21089508 0.42511085 4.86946861 1.20891867 0.42379663 4.93230047 1.20686696 0.42248223 4.99513232 1.20473818 0.42116287 5.05796417 1.20253098 0.41983429 5.12079603 1.20024512 0.41849335 5.18362788 1.19788194 0.41713845 5.24645973 1.19544454 0.41576975 5.30929158 1.19293761 0.41438905 5.37212344 1.19036732 0.41299960 5.43495529 1.18774079 0.41160569 5.49778714 1.18506546 0.41021204 5.56061900 1.18234833 0.40882307 5.62345085 1.17959543 0.40744239 5.68628270 1.17681123 0.40607230 5.74911456 1.17399810 0.40471319 5.81194641 1.17115609 0.40336339 5.87477826 1.16828299 0.40201916 5.93761012 1.16537434 0.40067471 6.00044197 1.16242402 0.39932275 6.06327382 1.15942499 0.39795516 6.12610567 1.15636987 0.39656352 6.18893753 1.15325200 0.39514009 6.25176938 1.15006628 0.39367864 6.31460123 1.14680999 0.39217516 6.37743309 1.14348324 0.39062833 6.44026494 1.14008925 0.38903979 6.50309679 1.13663422 0.38741398 6.56592865 1.13312705 0.38575794 6.62876050 1.12957859 0.38408061 6.69159235 1.12600095 0.38239213 6.75442421 1.12240658 0.38070306 6.81725606 1.11880755 0.37902365 6.88008791 1.11521478 0.37736311 6.94291976 1.11163747 0.37572915 7.00575162 1.10808267 0.37412747 7.06858347 1.10455506 0.37256163 7.13141532 1.10105697 0.37103303 7.19424718 1.09758843 0.36954095 7.25707903 1.09414740 0.36808278 7.31991088 1.09073021 0.36665440 7.38274274 1.08733205 0.36525067 7.44557459 1.08394732 0.36386574 7.50840644 1.08057026 0.36249360 7.57123830 1.07719541 0.36112858 7.63407015 1.07381787 0.35976555 7.69690200 1.07043372 0.35840028 7.75973385 1.06704001 0.35702951 7.82256571 1.06363502 0.35565111 7.88539756 1.06021818 0.35426406 7.94822941 1.05678986 0.35286825 8.01106127 1.05335136 0.35146442 8.07389312 1.04990463 0.35005398 8.13672497 1.04645212 0.34863877 8.19955683 1.04299660 0.34722099 8.26238868 1.03954098 0.34580296 8.32522053 1.03608809 0.34438695 8.38805239 1.03264069 0.34297518 8.45088424 1.02920126 0.34156963 8.51371609 1.02577209 0.34017210 8.57654794 1.02235507 0.33878406 8.63937980 1.01895181 0.33740672 8.70221165 1.01556357 0.33604097 8.76504350 1.01219123 0.33468738 8.82787536 1.00883543 0.33334628 8.89070721 1.00549651 0.33201778 8.95353906 1.00217457 0.33070172 9.01637092 0.99886952 0.32939783 9.07920277 0.99558111 0.32810567 9.14203462 0.99230905 0.32682475 9.20486648 0.98905298 0.32555458 9.26769833 0.98581253 0.32429462 9.33053018 0.98258736 0.32304439 9.39336203 0.97937711 0.32180339 9.45619389 0.97618151 0.32057121 9.58185759 0.96983329 0.31813180 9.70752130 0.96354109 0.31572355 9.77035315 0.96041555 0.31453038 9.89601686 0.95420485 0.31216467 10.02168056 0.94804705 0.30982489 10.14734427 0.94194111 0.30750933 10.27300798 0.93588619 0.30521656 10.39867168 0.92988178 0.30294556 10.52433539 0.92392783 0.30069579 10.64999910 0.91802473 0.29846718 10.77566280 0.91217322 0.29626010 10.90132651 0.90637428 0.29407516 11.02699021 0.90062895 0.29191308 11.15265392 0.89493815 0.28977452 11.27831763 0.88930262 0.28766002 11.40398133 0.88372281 0.28556986 11.52964504 0.87819889 0.28350414 11.65530874 0.87273077 0.28146272 11.78097245 0.86731820 0.27944536 11.96946801 0.85930260 0.27646361 12.09513172 0.85402697 0.27450472 12.22079542 0.84880523 0.27256851 12.34645913 0.84363685 0.27065458 12.53495469 0.83598327 0.26782477 12.66061839 0.83094620 0.26596518 12.78628210 0.82596089 0.26412689 12.97477766 0.81857916 0.26140898 13.10044137 0.81372166 0.25962322 13.28893692 0.80653013 0.25698361 13.41460063 0.80179848 0.25524980 13.60309619 0.79479432 0.25268782 13.72875990 0.79018657 0.25100552 13.91725546 0.78336646 0.24852024 14.04291916 0.77888001 0.24688852 14.23141472 0.77223935 0.24447792 14.41991028 0.76570352 0.24211063 14.54557399 0.76140336 0.24055581 14.73406955 0.75503683 0.23825758 14.92256510 0.74876851 0.23599882 15.11106066 0.74259594 0.23377812 15.29955622 0.73651677 0.23159420 15.42521993 0.73251480 0.23015810 15.61371549 0.72658654 0.22803297 15.80221105 0.72074620 0.22594184 15.99070661 0.71499197 0.22388388 16.17920217 0.70932213 0.22185835 16.36769773 0.70373503 0.21986457 16.55619328 0.69822911 0.21790189 16.74468884 0.69280280 0.21596970 16.99601626 0.68568897 0.21343984 17.18451182 0.68044264 0.21157651 17.37300737 0.67527102 0.20974176 17.56150293 0.67017270 0.20793501 17.81283035 0.66348656 0.20556869 18.00132591 0.65855391 0.20382525 18.18982146 0.65369003 0.20210807 18.44114888 0.64730958 0.19985847 18.62964444 0.64260113 0.19820062 18.88097185 0.63642335 0.19602834 19.06946741 0.63186356 0.19442716 19.32079482 0.62587963 0.19232877 19.50929038 0.62146204 0.19078176 19.76061779 0.61566357 0.18875398 20.01194520 0.60996747 0.18676514 20.20044076 0.60576104 0.18529847 20.45176817 0.60023801 0.18337541 20.70309559 0.59481056 0.18148865 20.95442300 0.58947635 0.17963727 21.20575041 0.58423309 0.17782037 21.45707782 0.57907860 0.17603711 21.70840524 0.57401072 0.17428663 21.95973265 0.56902739 0.17256813 22.21106006 0.56412658 0.17088081 22.46238747 0.55930634 0.16922391 22.71371489 0.55456476 0.16759667 23.02787415 0.54874559 0.16560323 23.27920156 0.54417432 0.16404011 23.53052898 0.53967590 0.16250436 23.84468824 0.53415276 0.16062217 24.09601565 0.52981218 0.15914563 24.41017492 0.52448129 0.15733545 24.66150233 0.52029059 0.15591497 24.97566160 0.51514232 0.15417300 25.28982086 0.51009156 0.15246738 25.54114827 0.50611936 0.15112834 25.85530754 0.50123743 0.14948550 26.16946680 0.49644573 0.14787614 26.48362607 0.49174185 0.14629931 26.79778534 0.48712343 0.14475407 27.11194460 0.48258821 0.14323956 27.42610387 0.47813401 0.14175490 27.74026313 0.47375871 0.14029927 28.05442240 0.46946028 0.13887187 28.43141351 0.46440086 0.13719517 28.74557278 0.46026469 0.13582720 29.05973205 0.45619931 0.13448508 29.43672316 0.45141179 0.13290769 29.75088243 0.44749599 0.13162005 30.12787355 0.44288310 0.13010612 30.50486467 0.43836152 0.12862529 30.81902393 0.43466138 0.12741579 31.19601505 0.43030042 0.12599297 31.57300617 0.42602353 0.12460042 31.94999729 0.42182834 0.12323722 32.32698841 0.41771258 0.12190249 32.70397952 0.41367402 0.12059537 33.08097064 0.40971056 0.11931504 33.45796176 0.40582015 0.11806073 33.89778473 0.40137102 0.11662922 34.27477585 0.39763219 0.11542869 34.65176697 0.39396040 0.11425186 35.09158994 0.38975902 0.11290795 35.46858106 0.38622650 0.11178019 35.90840403 0.38218305 0.11049180 36.34822700 0.37822102 0.10923193 36.78804997 0.37433803 0.10799968 37.16504109 0.37107090 0.10696478 37.60486406 0.36732863 0.10578152 38.10751889 0.36314060 0.10446006 38.54734186 0.35955151 0.10332990 38.98716483 0.35603076 0.10222333 39.42698780 0.35257644 0.10113964 39.92964263 0.34870763 0.09992827 40.36946560 0.34538956 0.09889134 40.87212042 0.34167192 0.09773173 41.31194339 0.33848230 0.09673866 41.81459822 0.33490726 0.09562763 42.31725304 0.33140498 0.09454129 42.81990787 0.32797330 0.09347886 43.32256269 0.32461013 0.09243955 43.82521752 0.32131346 0.09142264 44.32787234 0.31808136 0.09042744 44.89335902 0.31452013 0.08933292 45.39601384 0.31141919 0.08838162 45.89866867 0.30837725 0.08744999 46.46415535 0.30502356 0.08642469 47.02964202 0.30174022 0.08542274 47.59512870 0.29852506 0.08444336 48.16061538 0.29537601 0.08348580 48.72610206 0.29229109 0.08254937 49.29158873 0.28926837 0.08163337 49.85707541 0.28630602 0.08073717 50.42256209 0.28340228 0.07986013 51.05088062 0.28024258 0.07890739 51.61636730 0.27745706 0.07806887 52.24468583 0.27442475 0.07715755 52.87300436 0.27145647 0.07626697 53.50132289 0.26855023 0.07539644 54.12964142 0.26570413 0.07454529 54.75795995 0.26291635 0.07371290 55.38627848 0.26018515 0.07289866 56.07742887 0.25724415 0.07202327 56.70574740 0.25462635 0.07124529 57.39689778 0.25180626 0.07040847 58.08804816 0.24904658 0.06959086 58.71636670 0.24658862 0.06886369 59.40751708 0.24393908 0.06808096 60.16149932 0.24111147 0.06724690 60.85264970 0.23857525 0.06649991 61.54380008 0.23609071 0.06576916 62.29778232 0.23343742 0.06498989 63.05176456 0.23084188 0.06422869 63.74291494 0.22851178 0.06354627 64.49689718 0.22602182 0.06281800 65.25087942 0.22358445 0.06210608 66.06769350 0.22100142 0.06135265 66.82167574 0.21866845 0.06067308 67.63848983 0.21619494 0.05995352 68.39247207 0.21395989 0.05930417 69.20928616 0.21158915 0.05861627 70.02610025 0.20926938 0.05794401 70.84291434 0.20699897 0.05728688 71.72256028 0.20460735 0.05659554 72.53937437 0.20243461 0.05596824 73.41902031 0.20014483 0.05530795 74.23583440 0.19806366 0.05470852 75.11548035 0.19586942 0.05407724 75.99512629 0.19372240 0.05346027 76.93760409 0.19147275 0.05281456 77.81725003 0.18941889 0.05222572 78.75972783 0.18726585 0.05160912 79.70220562 0.18516038 0.05100683 80.58185156 0.18323683 0.05045715 81.58716121 0.18108606 0.04984320 82.52963901 0.17911433 0.04928095 83.47211681 0.17718438 0.04873117 84.47742646 0.17517037 0.04815803 85.48273610 0.17320091 0.04759814 86.48804575 0.17127457 0.04705104 87.49335540 0.16938995 0.04651632 88.56149690 0.16743179 0.04596126 89.56680655 0.16562911 0.04545076 90.63494806 0.16375520 0.04492058 91.70308956 0.16192260 0.04440256 92.77123106 0.16012999 0.04389629 93.90220442 0.15827409 0.04337263 94.97034592 0.15655982 0.04288935 96.10131927 0.15478418 0.04238919 97.23229263 0.15304783 0.04190051 98.36326598 0.15134949 0.04142293 99.55707119 0.14959669 0.04093044 100.75087640 0.14788351 0.04044947 101.88184976 0.14629584 0.04000409 103.13848682 0.14457078 0.03952055 104.33229203 0.14296878 0.03907185 105.52609723 0.14140147 0.03863318 106.78273430 0.13978793 0.03818191 108.03937136 0.13821036 0.03774103 109.35884027 0.13659136 0.03728888 110.61547733 0.13508393 0.03686820 111.93494625 0.13353613 0.03643654 113.25441516 0.13202300 0.03601484 114.57388408 0.13054342 0.03560276 115.95618484 0.12902816 0.03518103 117.27565376 0.12761389 0.03478765 118.65795453 0.12616482 0.03438483 120.10308715 0.12468429 0.03397354 121.48538791 0.12329997 0.03358921 122.93052053 0.12188490 0.03319657 124.37565316 0.12050163 0.03281298 125.82078578 0.11914911 0.03243813 127.32875025 0.11776948 0.03205598 128.83671472 0.11642115 0.03168271 130.34467920 0.11510307 0.03131802 131.91547552 0.11376116 0.03094693 133.42344000 0.11250179 0.03059885 134.99423632 0.11121901 0.03024447 136.62786450 0.10991532 0.02988451 138.19866083 0.10869005 0.02954636 139.83228901 0.10744418 0.02920269 141.52874904 0.10618004 0.02885415 143.16237722 0.10499029 0.02852628 144.85883726 0.10378247 0.02819358 146.55529729 0.10260192 0.02786853 148.31458918 0.10140548 0.02753925 150.07388106 0.10023642 0.02721765 151.83317295 0.09909382 0.02690345 153.59246483 0.09797680 0.02659642 155.41458857 0.09684594 0.02628571 157.23671231 0.09574073 0.02598216 159.12166790 0.09462346 0.02567543 161.00662350 0.09353180 0.02537584 162.89157909 0.09246489 0.02508315 164.77653468 0.09142190 0.02479712 166.72432213 0.09036842 0.02450832 168.73494142 0.08930598 0.02421717 170.68272887 0.08830016 0.02394162 172.69334817 0.08728524 0.02366368 174.76679932 0.08626263 0.02338372 176.84025047 0.08526357 0.02311030 178.91370162 0.08428726 0.02284320 180.98715277 0.08333295 0.02258218 183.12343578 0.08237194 0.02231942 185.32255064 0.08140543 0.02205523 187.45883364 0.08048790 0.02180451 189.72078035 0.07953857 0.02154516 191.91989521 0.07863674 0.02129887 194.18184192 0.07773013 0.02105133 196.50662048 0.07681978 0.02080284 198.83139905 0.07593040 0.02056014 201.15617761 0.07506130 0.02032304 203.54378803 0.07418908 0.02008515 205.93139844 0.07333683 0.01985276 208.38184071 0.07248219 0.01961977 210.83228298 0.07164716 0.01939219 213.28272525 0.07083108 0.01916982 215.79599938 0.07001309 0.01894699 218.37210535 0.06919396 0.01872389 220.94821133 0.06839371 0.01850599 223.52431730 0.06761170 0.01829310 226.16325513 0.06682887 0.01808003 228.86502481 0.06604591 0.01786697 231.56679450 0.06528103 0.01765888 234.26856418 0.06453360 0.01745558 237.03316571 0.06378626 0.01725234 239.79776725 0.06305597 0.01705377 242.68803249 0.06231011 0.01685102 245.51546588 0.06159730 0.01665728 248.40573112 0.06088526 0.01646379 251.35882821 0.06017450 0.01627069 254.31192531 0.05948011 0.01608206 257.32785426 0.05878726 0.01589389 260.34378320 0.05811032 0.01571008 263.42254400 0.05743514 0.01552677 266.50130480 0.05677543 0.01534770 269.64289746 0.05611767 0.01516918 272.84732196 0.05546225 0.01499133 276.05174647 0.05482193 0.01481761 279.31900283 0.05418407 0.01464458 282.58625919 0.05356086 0.01447555 285.91634740 0.05294022 0.01430725 289.30926747 0.05232248 0.01413976 292.70218753 0.05171896 0.01397615 296.15793945 0.05111839 0.01381337 299.67652323 0.05052104 0.01365148 303.19510700 0.04993747 0.01349336 306.77652262 0.04935715 0.01333613 310.42077010 0.04878031 0.01317986 314.06501758 0.04821678 0.01302723