# omega total a= 1 L= 3 0.03141593 0.05102860 0.02315876 0.09424778 0.11636537 0.05687978 0.15707963 0.17917959 0.08864169 0.21991149 0.23901301 0.11812795 0.28274334 0.29568401 0.14524499 0.34557519 0.34921564 0.17006251 0.40840704 0.39977563 0.19276471 0.47123890 0.44768352 0.21365720 0.53407075 0.49328441 0.23306250 0.59690260 0.53683786 0.25122728 0.65973446 0.57849959 0.26830642 0.72256631 0.61833272 0.28437177 0.78539816 0.65633816 0.29943715 0.84823002 0.69249819 0.31349533 0.91106187 0.72679356 0.32653298 0.97389372 0.75921055 0.33853723 1.03672558 0.78977317 0.34952391 1.09955743 0.81855748 0.35955091 1.16238928 0.84567102 0.36870165 1.22522113 0.87122780 0.37706404 1.28805299 0.89533297 0.38471745 1.35088484 0.91807504 0.39172592 1.41371669 0.93952745 0.39813959 1.47654855 0.95975348 0.40399904 1.53938040 0.97880694 0.40933603 1.60221225 0.99673080 0.41417259 1.66504411 1.01355861 0.41852229 1.72787596 1.02932203 0.42239704 1.79070781 1.04406247 0.42581727 1.85353967 1.05784155 0.42882138 1.91637152 1.07074797 0.43147213 1.97920337 1.08289773 0.43385725 2.04203522 1.09442199 0.43607918 2.10486708 1.10544218 0.43823330 2.16769893 1.11604143 0.44038224 2.23053078 1.12624465 0.44253769 2.29336264 1.13601481 0.44465619 2.35619449 1.14526565 0.44664971 2.41902634 1.15388740 0.44840811 2.48185820 1.16178000 0.44982878 2.54469005 1.16888545 0.45084593 2.60752190 1.17521035 0.45145167 2.67035376 1.18082846 0.45169920 2.73318561 1.18586398 0.45168855 2.79601746 1.19046115 0.45153953 2.85884931 1.19475362 0.45136398 2.92168117 1.19884179 0.45124491 2.98451302 1.20278274 0.45122686 3.04734487 1.20659086 0.45131588 3.11017673 1.21024660 0.45148716 3.17300858 1.21370852 0.45169568 3.23584043 1.21692601 0.45188781 3.29867229 1.21984960 0.45201062 3.36150414 1.22243795 0.45201846 3.42433599 1.22466168 0.45187660 3.48716785 1.22650501 0.45156277 3.54999970 1.22796665 0.45106821 3.61283155 1.22905981 0.45039772 3.67566340 1.22981230 0.44956982 3.73849526 1.23026410 0.44861470 3.80132711 1.23046381 0.44757094 3.86415896 1.23046269 0.44648008 3.92699082 1.23030813 0.44538057 3.98982267 1.23003749 0.44430204 4.05265452 1.22967417 0.44326148 4.11548638 1.22922645 0.44226206 4.17831823 1.22868941 0.44129481 4.24115008 1.22804914 0.44034241 4.30398194 1.22728816 0.43938418 4.36681379 1.22639022 0.43840054 4.42964564 1.22534356 0.43737614 4.49247749 1.22414166 0.43630059 4.55530935 1.22278231 0.43516769 4.61814120 1.22126585 0.43397384 4.68097305 1.21959352 0.43271652 4.74380491 1.21776730 0.43139411 4.80663676 1.21579062 0.43000653 4.86946861 1.21366973 0.42855649 4.93230047 1.21141547 0.42705106 4.99513232 1.20904350 0.42550195 5.05796417 1.20657381 0.42392497 5.12079603 1.20402870 0.42233819 5.18362788 1.20143013 0.42075946 5.24645973 1.19879703 0.41920386 5.30929158 1.19614306 0.41768168 5.37212344 1.19347549 0.41619730 5.43495529 1.19079497 0.41474900 5.49778714 1.18809643 0.41332978 5.56061900 1.18537077 0.41192898 5.62345085 1.18260666 0.41053391 5.68628270 1.17979260 0.40913181 5.74911456 1.17691875 0.40771155 5.81194641 1.17397822 0.40626484 5.87477826 1.17096782 0.40478693 5.93761012 1.16788842 0.40327689 6.00044197 1.16474451 0.40173727 6.06327382 1.16154332 0.40017321 6.12610567 1.15829395 0.39859170 6.18893753 1.15500611 0.39700029 6.25176938 1.15168890 0.39540607 6.31460123 1.14835016 0.39381500 6.37743309 1.14499559 0.39223108 6.44026494 1.14162879 0.39065643 6.50309679 1.13825138 0.38909138 6.56592865 1.13486336 0.38753481 6.62876050 1.13146365 0.38598463 6.69159235 1.12805055 0.38443823 6.75442421 1.12462233 0.38289302 6.81725606 1.12117727 0.38134647 6.88008791 1.11771393 0.37979633 6.94291976 1.11423117 0.37824070 7.00575162 1.11072817 0.37667799 7.06858347 1.10720466 0.37510713 7.13141532 1.10366083 0.37352754 7.19424718 1.10009778 0.37193948 7.25707903 1.09651756 0.37034412 7.31991088 1.09292353 0.36874386 7.38274274 1.08932018 0.36714217 7.44557459 1.08571307 0.36554354 7.50840644 1.08210843 0.36395310 7.57123830 1.07851291 0.36237638 7.63407015 1.07493286 0.36081867 7.69690200 1.07137366 0.35928438 7.75973385 1.06783940 0.35777673 7.82256571 1.06433248 0.35629745 7.88539756 1.06085351 0.35484656 7.94822941 1.05740124 0.35342243 8.01106127 1.05397290 0.35202202 8.07389312 1.05056463 0.35064130 8.13672497 1.04717178 0.34927555 8.19955683 1.04378954 0.34791989 8.26238868 1.04041334 0.34656971 8.32522053 1.03703947 0.34522122 8.38805239 1.03366476 0.34387113 8.45088424 1.03028750 0.34251754 8.51371609 1.02690681 0.34115934 8.57654794 1.02352305 0.33979659 8.63937980 1.02013739 0.33843007 8.70221165 1.01675159 0.33706119 8.76504350 1.01336798 0.33569185 8.82787536 1.00998916 0.33432423 8.89070721 1.00661771 0.33296046 8.95353906 1.00325614 0.33160267 9.01637092 0.99990673 0.33025275 9.07920277 0.99657153 0.32891238 9.14203462 0.99325218 0.32758287 9.20486648 0.98994993 0.32626520 9.26769833 0.98666562 0.32495994 9.33053018 0.98339981 0.32366742 9.39336203 0.98015277 0.32238774 9.45619389 0.97692444 0.32112066 9.58185759 0.97052273 0.31862265 9.70752130 0.96419103 0.31616890 9.77035315 0.96105000 0.31495697 9.89601686 0.95481450 0.31255962 10.02168056 0.94863744 0.31019357 10.14734427 0.94251546 0.30785501 10.27300798 0.93644608 0.30554101 10.39867168 0.93042798 0.30324980 10.52433539 0.92446060 0.30098040 10.64999910 0.91854390 0.29873234 10.77566280 0.91267828 0.29650564 10.90132651 0.90686423 0.29430044 11.02699021 0.90110244 0.29211713 11.15265392 0.89539346 0.28995603 11.27831763 0.88973794 0.28781754 11.40398133 0.88413642 0.28570206 11.52964504 0.87858939 0.28360994 11.65530874 0.87309728 0.28154154 11.78097245 0.86766049 0.27949721 11.96946801 0.85960982 0.27647658 12.09513172 0.85431285 0.27449389 12.22079542 0.84907232 0.27253644 12.34645913 0.84388840 0.27060448 12.53495469 0.83621884 0.26775471 12.66061839 0.83117652 0.26588704 12.78628210 0.82619044 0.26404496 12.97477766 0.81881555 0.26132907 13.10044137 0.81396738 0.25954923 13.28893692 0.80679547 0.25692396 13.41460063 0.80207954 0.25520232 13.60309619 0.79510092 0.25266063 13.72875990 0.79051044 0.25099222 13.91725546 0.78371497 0.24852682 14.04291916 0.77924342 0.24690707 14.23141472 0.77262203 0.24451179 14.41991028 0.76610146 0.24215632 14.54557399 0.76180925 0.24060745 14.73406955 0.75545160 0.23831548 14.92256510 0.74918904 0.23606029 15.11106066 0.74301974 0.23384105 15.29955622 0.73694199 0.23165702 15.42521993 0.73294020 0.23022023 15.61371549 0.72701135 0.22809339 15.80221105 0.72116971 0.22600003 15.99070661 0.71541370 0.22393954 16.17920217 0.70974177 0.22191130 16.36769773 0.70415238 0.21991473 16.55619328 0.69864401 0.21794925 16.74468884 0.69321518 0.21601426 16.99601626 0.68609789 0.21348074 17.18451182 0.68084890 0.21161472 17.37300737 0.67567460 0.20977732 17.56150293 0.67057358 0.20796800 17.81283035 0.66388382 0.20559832 18.00132591 0.65894844 0.20385244 18.18982146 0.65408183 0.20213288 18.44114888 0.64769774 0.19988020 18.62964444 0.64298657 0.19822010 18.88097185 0.63680517 0.19604492 19.06946741 0.63224268 0.19444164 19.32079482 0.62625518 0.19234052 19.50929038 0.62183492 0.19079154 19.76061779 0.61603293 0.18876120 20.01194520 0.61033333 0.18676991 20.20044076 0.60612431 0.18530145 20.45176817 0.60059787 0.18337610 20.70309559 0.59516704 0.18148714 20.95442300 0.58982949 0.17963363 21.20575041 0.58458294 0.17781470 21.45707782 0.57942521 0.17602947 21.70840524 0.57435414 0.17427712 21.95973265 0.56936766 0.17255681 22.21106006 0.56446375 0.17086777 22.46238747 0.55964046 0.16920920 22.71371489 0.55489587 0.16758037 23.02787415 0.54907302 0.16558504 23.27920156 0.54449886 0.16402047 23.53052898 0.53999759 0.16248334 23.84468824 0.53447096 0.16059950 24.09601565 0.53012764 0.15912171 24.41017492 0.52479339 0.15731003 24.66150233 0.52060005 0.15588842 24.97566160 0.51544853 0.15414510 25.28982086 0.51039460 0.15243820 25.54114827 0.50641991 0.15109818 25.85530754 0.50153492 0.14945419 26.16946680 0.49674024 0.14784374 26.48362607 0.49203342 0.14626587 26.79778534 0.48741213 0.14471966 27.11194460 0.48287409 0.14320423 27.42610387 0.47841713 0.14171870 27.74026313 0.47403913 0.14026225 28.05442240 0.46973805 0.13883408 28.43141351 0.46467551 0.13715652 28.74557278 0.46053680 0.13578787 29.05973205 0.45646893 0.13444512 29.43672316 0.45167848 0.13286702 29.75088243 0.44776029 0.13157883 30.12787355 0.44314459 0.13006429 30.50486467 0.43862026 0.12858288 30.81902393 0.43491788 0.12737294 31.19601505 0.43055428 0.12594963 31.57300617 0.42627481 0.12455663 31.94999729 0.42207710 0.12319301 32.32698841 0.41795885 0.12185790 32.70397952 0.41391787 0.12055043 33.08097064 0.40995204 0.11926980 33.45796176 0.40605929 0.11801519 33.89778473 0.40160751 0.11658339 34.27477585 0.39786645 0.11538263 34.65176697 0.39419247 0.11420559 35.09158994 0.38998858 0.11286147 35.46858106 0.38645396 0.11173356 35.90840403 0.38240811 0.11044501 36.34822700 0.37844374 0.10918501 36.78804997 0.37455845 0.10795265 37.16504109 0.37128939 0.10691767 37.60486406 0.36754490 0.10573435 38.10751889 0.36335440 0.10441284 38.54734186 0.35976319 0.10328265 38.98716483 0.35624037 0.10217606 39.42698780 0.35278401 0.10109238 39.92964263 0.34891292 0.09988104 40.36946560 0.34559290 0.09884414 40.87212042 0.34187308 0.09768459 41.31194339 0.33868158 0.09669158 41.81459822 0.33510444 0.09558063 42.31725304 0.33160010 0.09449439 42.81990787 0.32816640 0.09343206 43.32256269 0.32480125 0.09239287 43.82521752 0.32150265 0.09137609 44.32787234 0.31826865 0.09038102 44.89335902 0.31470534 0.08928667 45.39601384 0.31160257 0.08833552 45.89866867 0.30855885 0.08740406 46.46415535 0.30520319 0.08637895 47.02964202 0.30191792 0.08537719 47.59512870 0.29870087 0.08439801 48.16061538 0.29554998 0.08344067 48.72610206 0.29246324 0.08250445 49.29158873 0.28943875 0.08158867 49.85707541 0.28647466 0.08069269 50.42256209 0.28356922 0.07981588 51.05088062 0.28040765 0.07886339 51.61636730 0.27762050 0.07802511 52.24468583 0.27458641 0.07711405 52.87300436 0.27161638 0.07622373 53.50132289 0.26870843 0.07535346 54.12964142 0.26586066 0.07450258 54.75795995 0.26307124 0.07367046 55.38627848 0.26033843 0.07285650 56.07742887 0.25739570 0.07198140 56.70574740 0.25477635 0.07120369 57.39689778 0.25195460 0.07036717 58.08804816 0.24919330 0.06954985 58.71636670 0.24673388 0.06882295 59.40751708 0.24408278 0.06804052 60.16149932 0.24125351 0.06720678 60.85264970 0.23871579 0.06646008 61.54380008 0.23622978 0.06572962 62.29778232 0.23357493 0.06495067 63.05176456 0.23097785 0.06418978 63.74291494 0.22864638 0.06350764 64.49689718 0.22615495 0.06277968 65.25087942 0.22371614 0.06206807 66.06769350 0.22113158 0.06131497 66.82167574 0.21879723 0.06063570 67.63848983 0.21632226 0.05991647 68.39247207 0.21408588 0.05926741 69.20928616 0.21171374 0.05857982 70.02610025 0.20939260 0.05790788 70.84291434 0.20712085 0.05725106 71.72256028 0.20472781 0.05656004 72.53937437 0.20255379 0.05593305 73.41902031 0.20026264 0.05527308 74.23583440 0.19818025 0.05467394 75.11548035 0.19598470 0.05404298 75.99512629 0.19383641 0.05342632 76.93760409 0.19158542 0.05278093 77.81725003 0.18953035 0.05219239 78.75972783 0.18737603 0.05157611 79.70220562 0.18526931 0.05097413 80.58185156 0.18334463 0.05042474 81.58716121 0.18119258 0.04981111 82.52963901 0.17921968 0.04924916 83.47211681 0.17728859 0.04869967 84.47742646 0.17527338 0.04812684 85.48273610 0.17330276 0.04756725 86.48804575 0.17137527 0.04702045 87.49335540 0.16948954 0.04648602 88.56149690 0.16753021 0.04593127 89.56680655 0.16572647 0.04542106 90.63494806 0.16385144 0.04489117 91.70308956 0.16201776 0.04437344 92.77123106 0.16022408 0.04386746 93.90220442 0.15836708 0.04334409 94.97034592 0.15665180 0.04286109 96.10131927 0.15487511 0.04236122 97.23229263 0.15313773 0.04187282 98.36326598 0.15143838 0.04139552 99.55707119 0.14968454 0.04090331 100.75087640 0.14797034 0.04042263 101.88184976 0.14638173 0.03997751 103.13848682 0.14465565 0.03949425 104.33229203 0.14305270 0.03904582 105.52609723 0.14148446 0.03860742 106.78273430 0.13986997 0.03815641 108.03937136 0.13829147 0.03771579 109.35884027 0.13667151 0.03726392 110.61547733 0.13516318 0.03684349 111.93494625 0.13361446 0.03641210 113.25441516 0.13210045 0.03599066 114.57388408 0.13061999 0.03557883 115.95618484 0.12910383 0.03515735 117.27565376 0.12768873 0.03476421 118.65795453 0.12623879 0.03436165 120.10308715 0.12475739 0.03395061 121.48538791 0.12337225 0.03356652 122.93052053 0.12195634 0.03317412 124.37565316 0.12057225 0.03279077 125.82078578 0.11921893 0.03241616 127.32875025 0.11783849 0.03203425 128.83671472 0.11648937 0.03166122 130.34467920 0.11517051 0.03129675 131.91547552 0.11382781 0.03092590 133.42344000 0.11256769 0.03057804 134.99423632 0.11128415 0.03022389 136.62786450 0.10997970 0.02986416 138.19866083 0.10875370 0.02952622 139.83228901 0.10750710 0.02918278 141.52874904 0.10624221 0.02883446 143.16237722 0.10505176 0.02850680 144.85883726 0.10384323 0.02817431 146.55529729 0.10266198 0.02784947 148.31458918 0.10146483 0.02752041 150.07388106 0.10029509 0.02719901 151.83317295 0.09915181 0.02688503 153.59246483 0.09803413 0.02657819 155.41458857 0.09690261 0.02626768 157.23671231 0.09579674 0.02596434 159.12166790 0.09467882 0.02565780 161.00662350 0.09358652 0.02535841 162.89157909 0.09251898 0.02506591 164.77653468 0.09147537 0.02478007 166.72432213 0.09042127 0.02449146 168.73494142 0.08935821 0.02420050 170.68272887 0.08835179 0.02392514 172.69334817 0.08733628 0.02364738 174.76679932 0.08631307 0.02336761 176.84025047 0.08531342 0.02309437 178.91370162 0.08433654 0.02282744 180.98715277 0.08338166 0.02256660 183.12343578 0.08242009 0.02230401 185.32255064 0.08145301 0.02204000 187.45883364 0.08053495 0.02178944 189.72078035 0.07958506 0.02153028 191.91989521 0.07868270 0.02128414 194.18184192 0.07777556 0.02103678 196.50662048 0.07686466 0.02078845 198.83139905 0.07597477 0.02054592 201.15617761 0.07510515 0.02030897 203.54378803 0.07423243 0.02007124 205.93139844 0.07337967 0.01983900 208.38184071 0.07252453 0.01960618 210.83228298 0.07168901 0.01937875 213.28272525 0.07087245 0.01915653 215.79599938 0.07005398 0.01893385 218.37210535 0.06923437 0.01871090 220.94821133 0.06843365 0.01849315 223.52431730 0.06765118 0.01828040 226.16325513 0.06686790 0.01806748 228.86502481 0.06608448 0.01785457 231.56679450 0.06531915 0.01764661 234.26856418 0.06457128 0.01744345 237.03316571 0.06382350 0.01724034 239.79776725 0.06309279 0.01704192 242.68803249 0.06234649 0.01683930 245.51546588 0.06163325 0.01664569 248.40573112 0.06092080 0.01645234 251.35882821 0.06020963 0.01625937 254.31192531 0.05951483 0.01607087 257.32785426 0.05882157 0.01588283 260.34378320 0.05814423 0.01569914 263.42254400 0.05746866 0.01551595 266.50130480 0.05680856 0.01533700 269.64289746 0.05615042 0.01515861 272.84732196 0.05549461 0.01498088 276.05174647 0.05485391 0.01480727 279.31900283 0.05421568 0.01463437 282.58625919 0.05359211 0.01446545 285.91634740 0.05297111 0.01429727 289.30926747 0.05235300 0.01412989 292.70218753 0.05174912 0.01396640 296.15793945 0.05114820 0.01380372 299.67652323 0.05055050 0.01364195 303.19510700 0.04996659 0.01348393 306.77652262 0.04938593 0.01332681 310.42077010 0.04880875 0.01317065 314.06501758 0.04824489 0.01301812