# omega total a= 1 L= 3 0.03141593 0.04648241 0.01955620 0.09424778 0.10648869 0.04904760 0.15707963 0.16565722 0.07796881 0.21991149 0.22354706 0.10601685 0.28274334 0.27976780 0.13292594 0.34557519 0.33401704 0.15849735 0.40840704 0.38605895 0.18258125 0.47123890 0.43574626 0.20509467 0.53407075 0.48301281 0.22601558 0.59690260 0.52785129 0.24536482 0.65973446 0.57030728 0.26320172 0.72256631 0.61046264 0.27961086 0.78539816 0.64841875 0.29468869 0.84823002 0.68428814 0.30853710 0.91106187 0.71818752 0.32125803 0.97389372 0.75023085 0.33294823 1.03672558 0.78052407 0.34369511 1.09955743 0.80916252 0.35357491 1.16238928 0.83623394 0.36265559 1.22522113 0.86181976 0.37099817 1.28805299 0.88599405 0.37865617 1.35088484 0.90882554 0.38567748 1.41371669 0.93038156 0.39210806 1.47654855 0.95072873 0.39799270 1.53938040 0.96993081 0.40337339 1.60221225 0.98804838 0.40828911 1.66504411 1.00513975 0.41277679 1.72787596 1.02126104 0.41687147 1.79070781 1.03646551 0.42060579 1.85353967 1.05080330 0.42400980 1.91637152 1.06432136 0.42711098 1.97920337 1.07706328 0.42993412 2.04203522 1.08906926 0.43250129 2.10486708 1.10037624 0.43483198 2.16769893 1.11101800 0.43694323 2.23053078 1.12102502 0.43884943 2.29336264 1.13042423 0.44056220 2.35619449 1.13923917 0.44209037 2.41902634 1.14749025 0.44344028 2.48185820 1.15519556 0.44461645 2.54469005 1.16237166 0.44562230 2.60752190 1.16903494 0.44646133 2.67035376 1.17520294 0.44713835 2.73318561 1.18089606 0.44766104 2.79601746 1.18613844 0.44804085 2.85884931 1.19095847 0.44829345 2.92168117 1.19538815 0.44843825 2.98451302 1.19946182 0.44849733 3.04734487 1.20321435 0.44849374 3.11017673 1.20667898 0.44844957 3.17300858 1.20988503 0.44838382 3.23584043 1.21285610 0.44831067 3.29867229 1.21560843 0.44823792 3.36150414 1.21815009 0.44816610 3.42433599 1.22048075 0.44808825 3.48716785 1.22259212 0.44799016 3.54999970 1.22446912 0.44785142 3.61283155 1.22609177 0.44764705 3.67566340 1.22743778 0.44734987 3.73849526 1.22848572 0.44693344 3.80132711 1.22921842 0.44637519 3.86415896 1.22962631 0.44565957 3.92699082 1.22970961 0.44478018 3.98982267 1.22948015 0.44374154 4.05265452 1.22896042 0.44255836 4.11548638 1.22818223 0.44125434 4.17831823 1.22718356 0.43985934 4.24115008 1.22600488 0.43840599 4.30398194 1.22468565 0.43692641 4.36681379 1.22326118 0.43544926 4.42964564 1.22176045 0.43399766 4.49247749 1.22020477 0.43258785 4.55530935 1.21860738 0.43122876 4.61814120 1.21697379 0.42992230 4.68097305 1.21530268 0.42866404 4.74380491 1.21358707 0.42744441 4.80663676 1.21181590 0.42624997 4.86946861 1.20997579 0.42506519 4.93230047 1.20805264 0.42387383 4.99513232 1.20603350 0.42266073 5.05796417 1.20390792 0.42141307 5.12079603 1.20166932 0.42012169 5.18362788 1.19931576 0.41878177 5.24645973 1.19685020 0.41739317 5.30929158 1.19428011 0.41596008 5.37212344 1.19161690 0.41449049 5.43495529 1.18887466 0.41299501 5.49778714 1.18606872 0.41148559 5.56061900 1.18321416 0.40997412 5.62345085 1.18032453 0.40847118 5.68628270 1.17741073 0.40698501 5.74911456 1.17448023 0.40552078 5.81194641 1.17153675 0.40408026 5.87477826 1.16858033 0.40266183 5.93761012 1.16560759 0.40126076 6.00044197 1.16261253 0.39986990 6.06327382 1.15958756 0.39848065 6.12610567 1.15652432 0.39708372 6.18893753 1.15341494 0.39567028 6.25176938 1.15025308 0.39423295 6.31460123 1.14703470 0.39276653 6.37743309 1.14375870 0.39126860 6.44026494 1.14042705 0.38973963 6.50309679 1.13704471 0.38818298 6.56592865 1.13361915 0.38660435 6.62876050 1.13015956 0.38501115 6.69159235 1.12667605 0.38341172 6.75442421 1.12317879 0.38181449 6.81725606 1.11967713 0.38022721 6.88008791 1.11617906 0.37865641 6.94291976 1.11269076 0.37710698 7.00575162 1.10921627 0.37558183 7.06858347 1.10575753 0.37408198 7.13141532 1.10231455 0.37260665 7.19424718 1.09888567 0.37115353 7.25707903 1.09546788 0.36971911 7.31991088 1.09205737 0.36829909 7.38274274 1.08865002 0.36688894 7.44557459 1.08524176 0.36548420 7.50840644 1.08182906 0.36408092 7.57123830 1.07840926 0.36267600 7.63407015 1.07498064 0.36126723 7.69690200 1.07154255 0.35985345 7.75973385 1.06809519 0.35843429 7.82256571 1.06463956 0.35701018 7.88539756 1.06117717 0.35558204 7.94822941 1.05770979 0.35415108 8.01106127 1.05423919 0.35271852 8.07389312 1.05076700 0.35128545 8.13672497 1.04729452 0.34985271 8.19955683 1.04382267 0.34842078 8.26238868 1.04035205 0.34698986 8.32522053 1.03688299 0.34555991 8.38805239 1.03341552 0.34413063 8.45088424 1.02994975 0.34270178 8.51371609 1.02648575 0.34127311 8.57654794 1.02302380 0.33984458 8.63937980 1.01956453 0.33841647 8.70221165 1.01610883 0.33698933 8.76504350 1.01265805 0.33556413 8.82787536 1.00921391 0.33414222 8.89070721 1.00577843 0.33272521 8.95353906 1.00235384 0.33131494 9.01637092 0.99894245 0.32991333 9.07920277 0.99554655 0.32852230 9.14203462 0.99216829 0.32714365 9.20486648 0.98880957 0.32577894 9.26769833 0.98547194 0.32442944 9.33053018 0.98215656 0.32309605 9.39336203 0.97886418 0.32177931 9.45619389 0.97559518 0.32047942 9.58185759 0.96912697 0.31792928 9.70752130 0.96274843 0.31544131 9.77035315 0.95959076 0.31421845 9.89601686 0.95333374 0.31180991 10.02168056 0.94714793 0.30944417 10.14734427 0.94102626 0.30711394 10.27300798 0.93496313 0.30481339 10.39867168 0.92895463 0.30253834 10.52433539 0.92299847 0.30028617 10.64999910 0.91709363 0.29805553 10.77566280 0.91123995 0.29584592 10.90132651 0.90543792 0.29365749 11.02699021 0.89968835 0.29149078 11.15265392 0.89399219 0.28934645 11.27831763 0.88835037 0.28722525 11.40398133 0.88276384 0.28512793 11.52964504 0.87723340 0.28305516 11.65530874 0.87175977 0.28100759 11.78097245 0.86634356 0.27898576 11.96946801 0.85832784 0.27600220 12.09513172 0.85305675 0.27404632 12.22079542 0.84784381 0.27211704 12.34645913 0.84268872 0.27021417 12.53495469 0.83506334 0.26740855 12.66061839 0.83005012 0.26556973 12.78628210 0.82509206 0.26375532 12.97477766 0.81775599 0.26107762 13.10044137 0.81293096 0.25932051 13.28893692 0.80578917 0.25672479 13.41460063 0.80109024 0.25501981 13.60309619 0.79413287 0.25249893 13.72875990 0.78955404 0.25084191 13.91725546 0.78277301 0.24839056 14.04291916 0.77830948 0.24677853 14.23141472 0.77169834 0.24439299 14.41991028 0.76518651 0.24204563 14.54557399 0.76089957 0.24050153 14.73406955 0.75454929 0.23821606 14.92256510 0.74829370 0.23596679 15.11106066 0.74213113 0.23375306 15.29955622 0.73605998 0.23157427 15.42521993 0.73206255 0.23014083 15.61371549 0.72614020 0.22801887 15.80221105 0.72030502 0.22593021 15.99070661 0.71455544 0.22387425 16.17920217 0.70888990 0.22185039 16.36769773 0.70330687 0.21985806 16.55619328 0.69780482 0.21789667 16.74468884 0.69238226 0.21596564 16.99601626 0.68527327 0.21343719 17.18451182 0.68003045 0.21157481 17.37300737 0.67486226 0.20974094 17.56150293 0.66976729 0.20793502 17.81283035 0.66308551 0.20556970 18.00132591 0.65815606 0.20382696 18.18982146 0.65329530 0.20211043 18.44114888 0.64691893 0.19986162 18.62964444 0.64221347 0.19820431 18.88097185 0.63603960 0.19603270 19.06946741 0.63148267 0.19443199 19.32079482 0.62550249 0.19233416 19.50929038 0.62108766 0.19078755 19.76061779 0.61529279 0.18876024 20.01194520 0.60960021 0.18677183 20.20044076 0.60539637 0.18530545 20.45176817 0.59987675 0.18338276 20.70309559 0.59445263 0.18149632 20.95442300 0.58912168 0.17964523 21.20575041 0.58388162 0.17782859 21.45707782 0.57873027 0.17604556 21.70840524 0.57366548 0.17429530 21.95973265 0.56868517 0.17257698 22.21106006 0.56378733 0.17088983 22.46238747 0.55897001 0.16923307 22.71371489 0.55423129 0.16760596 23.02787415 0.54841564 0.16561266 23.27920156 0.54384713 0.16404963 23.53052898 0.53935143 0.16251396 23.84468824 0.53383162 0.16063185 24.09601565 0.52949366 0.15915537 24.41017492 0.52416598 0.15734524 24.66150233 0.51997781 0.15592480 24.97566160 0.51483263 0.15418286 25.28982086 0.50978491 0.15247725 25.54114827 0.50581510 0.15113822 25.85530754 0.50093611 0.14949538 26.16946680 0.49614731 0.14788601 26.48362607 0.49144626 0.14630916 26.79778534 0.48683062 0.14476390 27.11194460 0.48229813 0.14324936 27.42610387 0.47784662 0.14176466 27.74026313 0.47347396 0.14030899 28.05442240 0.46917812 0.13888155 28.43141351 0.46412175 0.13720479 28.74557278 0.45998808 0.13583677 29.05973205 0.45592515 0.13449460 29.43672316 0.45114053 0.13291714 29.75088243 0.44722709 0.13162943 30.12787355 0.44261699 0.13011544 30.50486467 0.43809815 0.12863453 30.81902393 0.43440025 0.12742496 31.19601505 0.43004193 0.12600206 31.57300617 0.42576763 0.12460943 31.94999729 0.42157499 0.12324615 32.32698841 0.41746172 0.12191134 32.70397952 0.41342562 0.12060413 33.08097064 0.40946456 0.11932373 33.45796176 0.40557651 0.11806933 33.89778473 0.40113008 0.11663773 34.27477585 0.39739353 0.11543711 34.65176697 0.39372397 0.11426020 35.09158994 0.38952514 0.11291619 35.46858106 0.38599477 0.11178836 35.90840403 0.38195378 0.11049987 36.34822700 0.37799417 0.10923991 36.78804997 0.37411354 0.10800757 37.16504109 0.37084840 0.10697259 37.60486406 0.36710840 0.10578924 38.10751889 0.36292293 0.10446769 38.54734186 0.35933603 0.10333743 38.98716483 0.35581743 0.10223078 39.42698780 0.35236521 0.10114700 39.92964263 0.34849876 0.09993554 40.36946560 0.34518272 0.09889853 40.87212042 0.34146735 0.09773883 41.31194339 0.33827967 0.09674568 41.81459822 0.33470681 0.09563456 42.31725304 0.33120668 0.09454814 42.81990787 0.32777709 0.09348562 43.32256269 0.32441597 0.09244623 43.82521752 0.32112131 0.09142924 44.32787234 0.31789119 0.09043395 44.89335902 0.31433214 0.08933935 45.39601384 0.31123309 0.08838797 45.89866867 0.30819301 0.08745627 46.46415535 0.30484137 0.08643089 47.02964202 0.30156003 0.08542885 47.59512870 0.29834683 0.08444939 48.16061538 0.29519971 0.08349176 48.72610206 0.29211667 0.08255525 49.29158873 0.28909579 0.08163918 49.85707541 0.28613526 0.08074291 50.42256209 0.28323329 0.07986580 51.05088062 0.28007551 0.07891298 51.61636730 0.27729169 0.07807440 52.24468583 0.27426123 0.07716300 52.87300436 0.27129476 0.07627235 53.50132289 0.26839029 0.07540175 54.12964142 0.26554593 0.07455053 54.75795995 0.26275985 0.07371808 55.38627848 0.26003031 0.07290378 56.07742887 0.25709111 0.07202832 56.70574740 0.25447489 0.07125028 57.39689778 0.25165652 0.07041339 58.08804816 0.24889853 0.06959571 58.71636670 0.24644206 0.06886848 59.40751708 0.24379413 0.06808570 60.16149932 0.24096824 0.06725157 60.85264970 0.23843357 0.06650452 61.54380008 0.23595053 0.06577372 62.29778232 0.23329886 0.06499439 63.05176456 0.23070489 0.06423313 63.74291494 0.22837621 0.06355065 64.49689718 0.22588776 0.06282233 65.25087942 0.22345187 0.06211035 66.06769350 0.22087041 0.06135687 66.82167574 0.21853885 0.06067725 67.63848983 0.21606684 0.05995763 68.39247207 0.21383314 0.05930823 69.20928616 0.21146384 0.05862028 70.02610025 0.20914547 0.05794797 70.84291434 0.20687644 0.05729079 71.72256028 0.20448626 0.05659939 72.53937437 0.20231484 0.05597205 73.41902031 0.20002643 0.05531171 74.23583440 0.19794653 0.05471224 75.11548035 0.19575361 0.05408091 75.99512629 0.19360789 0.05346389 76.93760409 0.19135959 0.05281813 77.81725003 0.18930698 0.05222925 78.75972783 0.18715523 0.05161261 79.70220562 0.18505103 0.05101027 80.58185156 0.18312864 0.05046055 81.58716121 0.18097916 0.04984655 82.52963901 0.17900862 0.04928427 83.47211681 0.17707983 0.04873445 84.47742646 0.17506703 0.04816126 85.48273610 0.17309876 0.04760133 86.48804575 0.17117357 0.04705420 87.49335540 0.16929009 0.04651943 88.56149690 0.16733310 0.04596434 89.56680655 0.16553150 0.04545380 90.63494806 0.16365871 0.04492358 91.70308956 0.16182721 0.04440552 92.77123106 0.16003568 0.04389922 93.90220442 0.15818089 0.04337552 94.97034592 0.15646765 0.04289220 96.10131927 0.15469307 0.04239201 97.23229263 0.15295776 0.04190330 98.36326598 0.15126044 0.04142568 99.55707119 0.14950868 0.04093315 100.75087640 0.14779652 0.04045216 101.88184976 0.14620980 0.04000675 103.13848682 0.14448577 0.03952317 104.33229203 0.14288473 0.03907444 105.52609723 0.14131835 0.03863574 106.78273430 0.13970577 0.03818444 108.03937136 0.13812915 0.03774352 109.35884027 0.13651111 0.03729135 110.61547733 0.13500457 0.03687063 111.93494625 0.13345769 0.03643894 113.25441516 0.13194547 0.03601722 114.57388408 0.13046677 0.03560511 115.95618484 0.12895241 0.03518334 117.27565376 0.12753899 0.03478994 118.65795453 0.12609077 0.03438710 120.10308715 0.12461112 0.03397577 121.48538791 0.12322762 0.03359141 122.93052053 0.12181339 0.03319875 124.37565316 0.12043094 0.03281513 125.82078578 0.11907922 0.03244025 127.32875025 0.11770042 0.03205808 128.83671472 0.11635289 0.03168479 130.34467920 0.11503559 0.03132007 131.91547552 0.11369447 0.03094896 133.42344000 0.11243585 0.03060085 134.99423632 0.11115382 0.03024645 136.62786450 0.10985091 0.02988646 138.19866083 0.10862637 0.02954829 139.83228901 0.10738123 0.02920460 141.52874904 0.10611784 0.02885604 143.16237722 0.10492880 0.02852814 144.85883726 0.10372169 0.02819542 146.55529729 0.10254184 0.02787035 148.31458918 0.10134610 0.02754105 150.07388106 0.10017773 0.02721942 151.83317295 0.09903581 0.02690521 153.59246483 0.09791945 0.02659815 155.41458857 0.09678926 0.02628742 157.23671231 0.09568469 0.02598385 159.12166790 0.09456809 0.02567710 161.00662350 0.09347707 0.02537749 162.89157909 0.09241079 0.02508478 164.77653468 0.09136841 0.02479873 166.72432213 0.09031555 0.02450991 168.73494142 0.08925374 0.02421874 170.68272887 0.08824851 0.02394318 172.69334817 0.08723419 0.02366522 174.76679932 0.08621218 0.02338524 176.84025047 0.08521371 0.02311180 178.91370162 0.08423798 0.02284468 180.98715277 0.08328422 0.02258365 183.12343578 0.08232378 0.02232087 185.32255064 0.08135784 0.02205666 187.45883364 0.08044085 0.02180592 189.72078035 0.07949208 0.02154656 191.91989521 0.07859078 0.02130025 194.18184192 0.07768471 0.02105270 196.50662048 0.07677488 0.02080419 198.83139905 0.07588603 0.02056148 201.15617761 0.07501744 0.02032435 203.54378803 0.07414574 0.02008645 205.93139844 0.07329398 0.01985404 208.38184071 0.07243984 0.01962104 210.83228298 0.07160530 0.01939344 213.28272525 0.07078970 0.01917106 215.79599938 0.06997219 0.01894821 218.37210535 0.06915355 0.01872510 220.94821133 0.06835376 0.01850719 223.52431730 0.06757221 0.01829428 226.16325513 0.06678985 0.01808120 228.86502481 0.06600734 0.01786813 231.56679450 0.06524291 0.01766002 234.26856418 0.06449592 0.01745670 237.03316571 0.06374901 0.01725345 239.79776725 0.06301916 0.01705487 242.68803249 0.06227373 0.01685210 245.51546588 0.06156134 0.01665836 248.40573112 0.06084972 0.01646485 251.35882821 0.06013938 0.01627174 254.31192531 0.05944539 0.01608310 257.32785426 0.05875294 0.01589492 260.34378320 0.05807640 0.01571109 263.42254400 0.05740161 0.01552777 266.50130480 0.05674230 0.01534869 269.64289746 0.05608492 0.01517016 272.84732196 0.05542988 0.01499230 276.05174647 0.05478994 0.01481856 279.31900283 0.05415245 0.01464552 282.58625919 0.05352961 0.01447649 285.91634740 0.05290933 0.01430817 289.30926747 0.05229195 0.01414067 292.70218753 0.05168878 0.01397705 296.15793945 0.05108856 0.01381426 299.67652323 0.05049157 0.01365236 303.19510700 0.04990834 0.01349423 306.77652262 0.04932836 0.01333699 310.42077010 0.04875186 0.01318071 314.06501758 0.04818866 0.01302807