# omega total a= 1 L= 3 0.03141593 0.04641287 0.01945889 0.09424778 0.10630824 0.04881201 0.15707963 0.16535546 0.07758707 0.21991149 0.22310067 0.10547071 0.28274334 0.27915024 0.13219466 0.34557519 0.33321688 0.15757290 0.40840704 0.38509271 0.18147912 0.47123890 0.43464077 0.20383924 0.53407075 0.48181031 0.22464447 0.59690260 0.52660491 0.24392530 0.65973446 0.56906921 0.26174080 0.72256631 0.60927682 0.27816913 0.78539816 0.64731200 0.29329274 0.84823002 0.68326488 0.30719478 0.91106187 0.71722919 0.31995771 0.97389372 0.74929977 0.33166171 1.03672558 0.77957212 0.34238479 1.09955743 0.80814143 0.35220242 1.16238928 0.83510617 0.36119106 1.22522113 0.86056782 0.36942844 1.28805299 0.88462429 0.37698825 1.35088484 0.90736506 0.38393623 1.41371669 0.92886831 0.39032783 1.47654855 0.94919987 0.39620731 1.53938040 0.96841411 0.40160867 1.60221225 0.98655527 0.40655660 1.66504411 1.00366062 0.41106946 1.72787596 1.01976557 0.41516365 1.79070781 1.03490794 0.41885752 1.85353967 1.04913134 0.42217455 1.91637152 1.06248752 0.42514557 1.97920337 1.07503610 0.42780881 2.04203522 1.08684175 0.43020755 2.10486708 1.09796992 0.43238646 2.16769893 1.10848220 0.43438752 2.23053078 1.11843202 0.43624611 2.29336264 1.12786149 0.43798812 2.35619449 1.13679995 0.43962846 2.41902634 1.14526461 0.44117149 2.48185820 1.15326270 0.44261284 2.54469005 1.16079494 0.44394231 2.60752190 1.16785916 0.44514722 2.67035376 1.17445378 0.44621546 2.73318561 1.18058011 0.44713768 2.79601746 1.18624357 0.44790838 2.85884931 1.19145387 0.44852623 2.92168117 1.19622425 0.44899336 2.98451302 1.20057039 0.44931446 3.04734487 1.20450923 0.44949573 3.11017673 1.20805794 0.44954388 3.17300858 1.21123353 0.44946586 3.23584043 1.21405265 0.44926857 3.29867229 1.21653193 0.44895919 3.36150414 1.21868846 0.44854565 3.42433599 1.22054015 0.44803692 3.48716785 1.22210601 0.44744324 3.54999970 1.22340589 0.44677597 3.61283155 1.22445985 0.44604692 3.67566340 1.22528718 0.44526749 3.73849526 1.22590532 0.44444767 3.80132711 1.22632888 0.44359507 3.86415896 1.22656907 0.44271438 3.92699082 1.22663366 0.44180727 3.98982267 1.22652735 0.44087279 4.05265452 1.22625271 0.43990807 4.11548638 1.22581117 0.43890935 4.17831823 1.22520410 0.43787291 4.24115008 1.22443368 0.43679592 4.30398194 1.22350351 0.43567700 4.36681379 1.22241877 0.43451638 4.42964564 1.22118613 0.43331589 4.49247749 1.21981341 0.43207855 4.55530935 1.21830904 0.43080820 4.61814120 1.21668157 0.42950897 4.68097305 1.21493933 0.42818496 4.74380491 1.21309029 0.42684012 4.80663676 1.21114216 0.42547832 4.86946861 1.20910266 0.42410358 4.93230047 1.20697988 0.42272037 4.99513232 1.20478238 0.42133376 5.05796417 1.20251909 0.41994925 5.12079603 1.20019881 0.41857234 5.18362788 1.19782943 0.41720783 5.24645973 1.19541705 0.41585891 5.30929158 1.19296512 0.41452643 5.37212344 1.19047392 0.41320837 5.43495529 1.18794043 0.41189969 5.49778714 1.18535868 0.41059266 5.56061900 1.18272069 0.40927773 5.62345085 1.18001746 0.40794442 5.68628270 1.17724035 0.40658261 5.74911456 1.17438238 0.40518377 5.81194641 1.17143937 0.40374200 5.87477826 1.16841040 0.40225451 5.93761012 1.16529818 0.40072196 6.00044197 1.16210873 0.39914817 6.06327382 1.15885064 0.39753943 6.12610567 1.15553418 0.39590373 6.18893753 1.15217037 0.39424979 6.25176938 1.14876997 0.39258624 6.31460123 1.14534288 0.39092096 6.37743309 1.14189764 0.38926063 6.44026494 1.13844126 0.38761058 6.50309679 1.13497926 0.38597481 6.56592865 1.13151584 0.38435610 6.62876050 1.12805405 0.38275624 6.69159235 1.12459598 0.38117614 6.75442421 1.12114300 0.37961607 6.81725606 1.11769581 0.37807570 6.88008791 1.11425451 0.37655420 6.94291976 1.11081869 0.37505027 7.00575162 1.10738763 0.37356236 7.06858347 1.10396040 0.37208875 7.13141532 1.10053603 0.37062773 7.19424718 1.09711370 0.36917774 7.25707903 1.09369296 0.36773760 7.31991088 1.09027393 0.36630671 7.38274274 1.08685727 0.36488498 7.44557459 1.08344403 0.36347273 7.50840644 1.08003561 0.36207062 7.57123830 1.07663360 0.36067955 7.63407015 1.07323942 0.35930027 7.69690200 1.06985403 0.35793313 7.75973385 1.06647775 0.35657793 7.82256571 1.06311014 0.35523375 7.88539756 1.05974990 0.35389891 7.94822941 1.05639496 0.35257103 8.01106127 1.05304256 0.35124712 8.07389312 1.04968969 0.34992394 8.13672497 1.04633318 0.34859811 8.19955683 1.04297010 0.34726651 8.26238868 1.03959806 0.34592651 8.32522053 1.03621544 0.34457621 8.38805239 1.03282146 0.34321453 8.45088424 1.02941637 0.34184131 8.51371609 1.02600134 0.34045731 8.57654794 1.02257839 0.33906408 8.63937980 1.01915025 0.33766383 8.70221165 1.01572011 0.33625926 8.76504350 1.01229150 0.33485337 8.82787536 1.00886806 0.33344928 8.89070721 1.00545330 0.33205003 8.95353906 1.00205047 0.33065840 9.01637092 0.99866243 0.32927685 9.07920277 0.99529161 0.32790745 9.14203462 0.99193990 0.32655177 9.20486648 0.98860866 0.32521089 9.26769833 0.98529875 0.32388544 9.33053018 0.98201058 0.32257566 9.39336203 0.97874422 0.32128144 9.45619389 0.97549935 0.32000234 9.58185759 0.96907185 0.31748689 9.70752130 0.96272232 0.31502290 9.77035315 0.95957476 0.31380801 9.89601686 0.95333011 0.31140824 10.02168056 0.94714835 0.30904375 10.14734427 0.94102549 0.30671011 10.27300798 0.93495872 0.30440409 10.39867168 0.92894643 0.30212368 10.52433539 0.92298796 0.29986777 10.64999910 0.91708320 0.29763584 10.77566280 0.91123245 0.29542782 10.90132651 0.90543628 0.29324394 11.02699021 0.89969548 0.29108465 11.15265392 0.89401091 0.28895054 11.27831763 0.88838346 0.28684228 11.40398133 0.88281398 0.28476051 11.52964504 0.87730318 0.28270580 11.65530874 0.87185156 0.28067857 11.78097245 0.86645931 0.27867897 11.96946801 0.85848191 0.27573109 12.09513172 0.85323688 0.27379955 12.22079542 0.84804946 0.27189416 12.34645913 0.84291861 0.27001406 12.53495469 0.83532580 0.26723916 12.66061839 0.83033115 0.26541798 12.78628210 0.82538892 0.26361872 12.97477766 0.81807149 0.26095912 13.10044137 0.81325576 0.25921122 13.28893692 0.80612391 0.25662571 13.41460063 0.80142945 0.25492558 13.60309619 0.79447631 0.25240978 13.72875990 0.78989908 0.25075505 13.91725546 0.78311920 0.24830603 14.04291916 0.77865585 0.24669507 14.23141472 0.77204444 0.24431067 14.41991028 0.76553193 0.24196413 14.54557399 0.76124440 0.24042049 14.73406955 0.75489314 0.23813564 14.92256510 0.74863648 0.23588696 15.11106066 0.74247281 0.23367384 15.29955622 0.73640054 0.23149566 15.42521993 0.73240234 0.23006265 15.61371549 0.72647885 0.22794135 15.80221105 0.72064252 0.22585337 15.99070661 0.71489178 0.22379811 16.17920217 0.70922508 0.22177497 16.36769773 0.70364088 0.21978337 16.55619328 0.69813766 0.21782273 16.74468884 0.69271392 0.21589246 16.99601626 0.68560334 0.21336502 17.18451182 0.68035933 0.21150342 17.37300737 0.67518994 0.20967032 17.56150293 0.67009376 0.20786518 17.81283035 0.66341036 0.20550089 18.00132591 0.65847969 0.20375892 18.18982146 0.65361771 0.20204316 18.44114888 0.64723969 0.19979538 18.62964444 0.64253299 0.19813883 18.88097185 0.63635746 0.19596823 19.06946741 0.63179929 0.19436826 19.32079482 0.62581744 0.19227142 19.50929038 0.62140135 0.19072553 19.76061779 0.61560480 0.18869919 20.01194520 0.60991054 0.18671173 20.20044076 0.60570544 0.18524605 20.45176817 0.60018413 0.18332428 20.70309559 0.59475833 0.18143875 20.95442300 0.58942568 0.17958855 21.20575041 0.58418394 0.17777279 21.45707782 0.57903090 0.17599061 21.70840524 0.57396442 0.17424119 21.95973265 0.56898243 0.17252369 22.21106006 0.56408291 0.17083735 22.46238747 0.55926391 0.16918138 22.71371489 0.55452353 0.16755504 23.02787415 0.54870579 0.16556269 23.27920156 0.54413562 0.16400040 23.53052898 0.53963826 0.16246545 23.84468824 0.53411639 0.16058423 24.09601565 0.52977679 0.15910843 24.41017492 0.52444707 0.15729914 24.66150233 0.52025727 0.15587935 24.97566160 0.51511008 0.15413821 25.28982086 0.51006036 0.15243338 25.54114827 0.50608895 0.15109495 25.85530754 0.50120798 0.14945285 26.16946680 0.49641721 0.14784420 26.48362607 0.49171421 0.14626805 26.79778534 0.48709664 0.14472348 27.11194460 0.48256224 0.14320959 27.42610387 0.47810882 0.14172554 27.74026313 0.47373427 0.14027050 28.05442240 0.46943657 0.13884367 28.43141351 0.46437798 0.13716762 28.74557278 0.46024247 0.13580017 29.05973205 0.45617773 0.13445856 29.43672316 0.45139095 0.13288176 29.75088243 0.44747573 0.13159458 30.12787355 0.44286352 0.13008120 30.50486467 0.43834260 0.12860089 30.81902393 0.43464298 0.12739181 31.19601505 0.43028261 0.12596947 31.57300617 0.42600630 0.12457739 31.94999729 0.42181167 0.12321464 32.32698841 0.41769643 0.12188034 32.70397952 0.41365839 0.12057364 33.08097064 0.40969541 0.11929372 33.45796176 0.40580547 0.11803980 33.89778473 0.40135686 0.11660872 34.27477585 0.39761846 0.11540855 34.65176697 0.39394708 0.11423207 35.09158994 0.38974616 0.11288856 35.46858106 0.38621402 0.11176112 35.90840403 0.38217099 0.11047310 36.34822700 0.37820938 0.10921358 36.78804997 0.37432678 0.10798167 37.16504109 0.37105997 0.10694705 37.60486406 0.36731805 0.10576412 38.10751889 0.36313041 0.10444301 38.54734186 0.35954165 0.10331314 38.98716483 0.35602122 0.10220685 39.42698780 0.35256720 0.10112344 39.92964263 0.34869872 0.09991238 40.36946560 0.34538092 0.09887571 40.87212042 0.34166359 0.09771638 41.31194339 0.33847422 0.09672355 41.81459822 0.33489946 0.09561279 42.31725304 0.33139745 0.09452671 42.81990787 0.32796602 0.09346452 43.32256269 0.32460309 0.09242545 43.82521752 0.32130665 0.09140878 44.32787234 0.31807478 0.09041379 44.89335902 0.31451379 0.08931952 45.39601384 0.31141305 0.08836843 45.89866867 0.30837131 0.08743700 46.46415535 0.30501783 0.08641192 47.02964202 0.30173469 0.08541018 47.59512870 0.29851973 0.08443101 48.16061538 0.29537086 0.08347365 48.72610206 0.29228611 0.08253741 49.29158873 0.28926356 0.08162160 49.85707541 0.28630138 0.08072558 50.42256209 0.28339779 0.07984871 51.05088062 0.28023825 0.07889616 51.61636730 0.27745287 0.07805781 52.24468583 0.27442071 0.07714667 52.87300436 0.27145257 0.07625626 53.50132289 0.26854647 0.07538589 54.12964142 0.26570050 0.07453490 54.75795995 0.26291285 0.07370267 55.38627848 0.26018176 0.07288858 56.07742887 0.25724089 0.07201336 56.70574740 0.25462320 0.07123552 57.39689778 0.25180322 0.07039885 58.08804816 0.24904365 0.06958138 58.71636670 0.24658578 0.06885434 59.40751708 0.24393634 0.06807175 60.16149932 0.24110884 0.06723784 60.85264970 0.23857271 0.06649097 61.54380008 0.23608826 0.06576035 62.29778232 0.23343506 0.06498121 63.05176456 0.23083960 0.06422014 63.74291494 0.22850958 0.06353783 64.49689718 0.22601970 0.06280968 65.25087942 0.22358240 0.06209788 66.06769350 0.22099945 0.06134458 66.82167574 0.21866655 0.06066512 67.63848983 0.21619310 0.05994568 68.39247207 0.21395811 0.05929643 69.20928616 0.21158744 0.05860864 70.02610025 0.20926773 0.05793649 70.84291434 0.20699738 0.05727946 71.72256028 0.20460582 0.05658823 72.53937437 0.20243313 0.05596103 73.41902031 0.20014340 0.05530084 74.23583440 0.19806229 0.05470150 75.11548035 0.19586809 0.05407032 75.99512629 0.19372112 0.05345345 76.93760409 0.19147151 0.05280783 77.81725003 0.18941771 0.05221908 78.75972783 0.18726470 0.05160258 79.70220562 0.18515928 0.05100037 80.58185156 0.18323577 0.05045078 81.58716121 0.18108504 0.04983691 82.52963901 0.17911334 0.04927475 83.47211681 0.17718342 0.04872505 84.47742646 0.17516945 0.04815199 85.48273610 0.17320002 0.04759218 86.48804575 0.17127371 0.04704517 87.49335540 0.16938913 0.04651052 88.56149690 0.16743099 0.04595554 89.56680655 0.16562834 0.04544511 90.63494806 0.16375446 0.04491500 91.70308956 0.16192189 0.04439705 92.77123106 0.16012930 0.04389086 93.90220442 0.15827343 0.04336727 94.97034592 0.15655918 0.04288405 96.10131927 0.15478357 0.04238397 97.23229263 0.15304724 0.04189536 98.36326598 0.15134892 0.04141784 99.55707119 0.14959614 0.04092542 100.75087640 0.14788297 0.04044452 101.88184976 0.14629532 0.03999920 103.13848682 0.14457029 0.03951572 104.33229203 0.14296830 0.03906708 105.52609723 0.14140101 0.03862848 106.78273430 0.13978748 0.03817726 108.03937136 0.13820994 0.03773644 109.35884027 0.13659095 0.03728435 110.61547733 0.13508353 0.03686372 111.93494625 0.13353574 0.03643212 113.25441516 0.13202263 0.03601048 114.57388408 0.13054306 0.03559846 115.95618484 0.12902782 0.03517677 117.27565376 0.12761356 0.03478345 118.65795453 0.12616450 0.03438069 120.10308715 0.12468398 0.03396945 121.48538791 0.12329967 0.03358516 122.93052053 0.12188461 0.03319257 124.37565316 0.12050135 0.03280903 125.82078578 0.11914884 0.03243423 127.32875025 0.11776922 0.03205214 128.83671472 0.11642090 0.03167892 130.34467920 0.11510283 0.03131427 131.91547552 0.11376093 0.03094323 133.42344000 0.11250157 0.03059519 134.99423632 0.11121879 0.03024086 136.62786450 0.10991512 0.02988094 138.19866083 0.10868985 0.02954284 139.83228901 0.10744399 0.02919921 141.52874904 0.10617985 0.02885072 143.16237722 0.10499011 0.02852288 144.85883726 0.10378230 0.02819022 146.55529729 0.10260176 0.02786521 148.31458918 0.10140532 0.02753598 150.07388106 0.10023627 0.02721441 151.83317295 0.09909367 0.02690026 153.59246483 0.09797665 0.02659327 155.41458857 0.09684581 0.02628259 157.23671231 0.09574059 0.02597909 159.12166790 0.09462333 0.02567239 161.00662350 0.09353168 0.02537283 162.89157909 0.09246477 0.02508018 164.77653468 0.09142178 0.02479419 166.72432213 0.09036831 0.02450542 168.73494142 0.08930587 0.02421431 170.68272887 0.08830005 0.02393880 172.69334817 0.08728514 0.02366089 174.76679932 0.08626253 0.02338097 176.84025047 0.08526348 0.02310758 178.91370162 0.08428717 0.02284051 180.98715277 0.08333286 0.02257952 183.12343578 0.08237185 0.02231679 185.32255064 0.08140535 0.02205264 187.45883364 0.08048782 0.02180194 189.72078035 0.07953850 0.02154263 191.91989521 0.07863667 0.02129636 194.18184192 0.07773006 0.02104886 196.50662048 0.07681971 0.02080040 198.83139905 0.07593034 0.02055773 201.15617761 0.07506123 0.02032065 203.54378803 0.07418902 0.02008279 205.93139844 0.07333677 0.01985043 208.38184071 0.07248213 0.01961747 210.83228298 0.07164710 0.01938992 213.28272525 0.07083103 0.01916758 215.79599938 0.07001304 0.01894477 218.37210535 0.06919391 0.01872170 220.94821133 0.06839366 0.01850382 223.52431730 0.06761165 0.01829096 226.16325513 0.06682883 0.01807792 228.86502481 0.06604587 0.01786488 231.56679450 0.06528099 0.01765681 234.26856418 0.06453356 0.01745354 237.03316571 0.06378622 0.01725032 239.79776725 0.06305594 0.01705178 242.68803249 0.06231008 0.01684905 245.51546588 0.06159726 0.01665533 248.40573112 0.06088523 0.01646187 251.35882821 0.06017447 0.01626879 254.31192531 0.05948008 0.01608019 257.32785426 0.05878723 0.01589204 260.34378320 0.05811029 0.01570824 263.42254400 0.05743511 0.01552496 266.50130480 0.05677541 0.01534591 269.64289746 0.05611765 0.01516741 272.84732196 0.05546222 0.01498958 276.05174647 0.05482190 0.01481588 279.31900283 0.05418405 0.01464287 282.58625919 0.05356084 0.01447387 285.91634740 0.05294020 0.01430559 289.30926747 0.05232246 0.01413811 292.70218753 0.05171894 0.01397453 296.15793945 0.05111837 0.01381176 299.67652323 0.05052102 0.01364989 303.19510700 0.04993746 0.01349178 306.77652262 0.04935714 0.01333458 310.42077010 0.04878030 0.01317833 314.06501758 0.04821677 0.01302571