# omega total a= 1 L= 3 0.03141593 0.04628127 0.01937084 0.09424778 0.10598158 0.04858762 0.15707963 0.16489635 0.07727765 0.21991149 0.22259189 0.10514414 0.28274334 0.27868646 0.13192870 0.34557519 0.33289239 0.15744519 0.40840704 0.38496307 0.18153516 0.47123890 0.43473516 0.20410260 0.53407075 0.48211799 0.22510536 0.59690260 0.52708226 0.24454605 0.65973446 0.56965095 0.26246508 0.72256631 0.60988865 0.27893245 0.78539816 0.64788982 0.29403860 0.84823002 0.68376341 0.30788214 0.91106187 0.71762631 0.32056493 0.97389372 0.74959591 0.33218630 1.03672558 0.77978594 0.34284002 1.09955743 0.80830364 0.35261222 1.16238928 0.83524699 0.36157938 1.22522113 0.86070457 0.36980853 1.28805299 0.88475771 0.37735922 1.35088484 0.90748269 0.38428577 1.41371669 0.92895211 0.39063856 1.47654855 0.94923518 0.39646462 1.53938040 0.96839843 0.40180829 1.60221225 0.98650599 0.40671171 1.66504411 1.00361852 0.41121399 1.72787596 1.01979258 0.41535074 1.79070781 1.03508030 0.41915382 1.85353967 1.04952834 0.42265051 1.91637152 1.06317674 0.42586248 1.97920337 1.07605927 0.42880604 2.04203522 1.08820482 0.43149339 2.10486708 1.09963915 0.43393414 2.16769893 1.11038667 0.43613685 2.23053078 1.12047201 0.43811054 2.29336264 1.12992141 0.43986594 2.35619449 1.13876359 0.44141631 2.41902634 1.14702958 0.44277738 2.48185820 1.15475217 0.44396685 2.54469005 1.16196455 0.44500326 2.60752190 1.16869894 0.44590471 2.67035376 1.17498495 0.44668737 2.73318561 1.18084833 0.44736436 2.79601746 1.18631016 0.44794492 2.85884931 1.19138662 0.44843413 2.92168117 1.19608921 0.44883310 2.98451302 1.20042546 0.44913956 3.04734487 1.20439998 0.44934873 3.11017673 1.20801576 0.44945456 3.17300858 1.21127576 0.44945111 3.23584043 1.21418433 0.44933392 3.29867229 1.21674855 0.44910118 3.36150414 1.21897901 0.44875461 3.42433599 1.22089011 0.44829962 3.48716785 1.22249967 0.44774516 3.54999970 1.22382815 0.44710286 3.61283155 1.22489713 0.44638581 3.67566340 1.22572797 0.44560719 3.73849526 1.22634025 0.44477890 3.80132711 1.22675062 0.44391043 3.86415896 1.22697208 0.44300815 3.92699082 1.22701385 0.44207518 3.98982267 1.22688178 0.44111168 4.05265452 1.22657908 0.44011554 4.11548638 1.22610756 0.43908347 4.17831823 1.22546884 0.43801214 4.24115008 1.22466553 0.43689922 4.30398194 1.22370218 0.43574436 4.36681379 1.22258584 0.43454963 4.42964564 1.22132609 0.43331964 4.49247749 1.21993474 0.43206123 4.55530935 1.21842496 0.43078271 4.61814120 1.21681031 0.42949289 4.68097305 1.21510370 0.42820024 4.74380491 1.21331634 0.42691176 4.80663676 1.21145699 0.42563233 4.86946861 1.20953152 0.42436429 4.93230047 1.20754271 0.42310720 4.99513232 1.20549045 0.42185806 5.05796417 1.20337233 0.42061173 5.12079603 1.20118417 0.41936155 5.18362788 1.19892099 0.41810015 5.24645973 1.19657785 0.41682025 5.30929158 1.19415066 0.41551542 5.37212344 1.19163692 0.41418079 5.43495529 1.18903619 0.41281347 5.49778714 1.18635034 0.41141283 5.56061900 1.18358350 0.40998042 5.62345085 1.18074189 0.40851986 5.68628270 1.17783325 0.40703629 5.74911456 1.17486638 0.40553594 5.81194641 1.17185052 0.40402559 5.87477826 1.16879475 0.40251192 5.93761012 1.16570754 0.40100116 6.00044197 1.16259626 0.39949862 6.06327382 1.15946702 0.39800847 6.12610567 1.15632447 0.39653359 6.18893753 1.15317166 0.39507545 6.25176938 1.15001008 0.39363408 6.31460123 1.14683975 0.39220820 6.37743309 1.14365927 0.39079524 6.44026494 1.14046604 0.38939154 6.50309679 1.13725645 0.38799252 6.56592865 1.13402615 0.38659298 6.62876050 1.13077049 0.38518743 6.69159235 1.12748489 0.38377048 6.75442421 1.12416526 0.38233724 6.81725606 1.12080845 0.38088372 6.88008791 1.11741257 0.37940717 6.94291976 1.11397729 0.37790629 7.00575162 1.11050388 0.37638136 7.06858347 1.10699522 0.37483418 7.13141532 1.10345552 0.37326785 7.19424718 1.09989014 0.37168658 7.25707903 1.09630518 0.37009531 7.31991088 1.09270702 0.36849929 7.38274274 1.08910196 0.36690372 7.44557459 1.08549590 0.36531347 7.50840644 1.08189403 0.36373277 7.57123830 1.07830065 0.36216505 7.63407015 1.07471905 0.36061281 7.69690200 1.07115142 0.35907755 7.75973385 1.06759903 0.35755992 7.82256571 1.06406226 0.35605976 7.88539756 1.06054081 0.35457630 7.94822941 1.05703388 0.35310829 8.01106127 1.05354044 0.35165431 8.07389312 1.05005943 0.35021290 8.13672497 1.04658993 0.34878278 8.19955683 1.04313139 0.34736297 8.26238868 1.03968357 0.34595289 8.32522053 1.03624677 0.34455240 8.38805239 1.03282152 0.34316164 8.45088424 1.02940871 0.34178111 8.51371609 1.02600938 0.34041144 8.57654794 1.02262463 0.33905336 8.63937980 1.01925539 0.33770748 8.70221165 1.01590244 0.33637424 8.76504350 1.01256625 0.33505386 8.82787536 1.00924691 0.33374618 8.89070721 1.00594425 0.33245083 8.95353906 1.00265779 0.33116718 9.01637092 0.99938689 0.32989441 9.07920277 0.99613071 0.32863158 9.14203462 0.99288839 0.32737767 9.20486648 0.98965903 0.32613171 9.26769833 0.98644186 0.32489278 9.33053018 0.98323620 0.32366010 9.39336203 0.98004150 0.32243300 9.45619389 0.97685737 0.32121095 9.58185759 0.97052001 0.31878067 9.70752130 0.96422366 0.31636773 9.77035315 0.96109112 0.31516768 9.89601686 0.95485826 0.31278072 10.02168056 0.94866986 0.31041197 10.14734427 0.94252775 0.30806237 10.27300798 0.93643349 0.30573273 10.39867168 0.93038850 0.30342376 10.52433539 0.92439394 0.30113606 10.64999910 0.91845081 0.29887013 10.77566280 0.91256009 0.29662652 10.90132651 0.90672261 0.29440570 11.02699021 0.90093911 0.29220809 11.15265392 0.89521021 0.29003407 11.27831763 0.88953644 0.28788398 11.40398133 0.88391817 0.28575804 11.52964504 0.87835566 0.28365641 11.65530874 0.87284902 0.28157916 11.78097245 0.86739830 0.27952631 11.96946801 0.85932700 0.27649277 12.09513172 0.85401588 0.27450088 12.22079542 0.84876051 0.27253340 12.34645913 0.84356083 0.27059038 12.53495469 0.83586575 0.26772197 12.66061839 0.83080533 0.26584066 12.78628210 0.82580060 0.26398429 12.97477766 0.81839761 0.26124658 13.10044137 0.81353133 0.25945259 13.28893692 0.80633434 0.25680782 13.41460063 0.80160365 0.25507483 13.60309619 0.79460645 0.25251920 13.72875990 0.79000610 0.25084369 13.91725546 0.78319952 0.24837086 14.04291916 0.77872282 0.24674812 14.23141472 0.77209662 0.24435086 14.41991028 0.76557404 0.24199580 14.54557399 0.76128169 0.24044820 14.73406955 0.75492518 0.23815923 14.92256510 0.74866490 0.23590790 15.11106066 0.74249864 0.23369306 15.29955622 0.73642441 0.23151371 15.42521993 0.73242514 0.23008012 15.61371549 0.72650027 0.22795814 15.80221105 0.72066275 0.22586963 15.99070661 0.71491094 0.22381393 16.17920217 0.70924326 0.22179042 16.36769773 0.70365816 0.21979848 16.55619328 0.69815410 0.21783754 16.74468884 0.69272957 0.21590700 16.99601626 0.68561801 0.21337924 17.18451182 0.68037331 0.21151743 17.37300737 0.67520327 0.20968413 17.56150293 0.67010648 0.20787881 17.81283035 0.66342233 0.20551432 18.00132591 0.65849112 0.20377221 18.18982146 0.65362863 0.20205632 18.44114888 0.64724999 0.19980839 18.62964444 0.64254285 0.19815174 18.88097185 0.63636676 0.19598101 19.06946741 0.63180820 0.19438097 19.32079482 0.62582587 0.19228404 19.50929038 0.62140943 0.19073809 19.76061779 0.61561246 0.18871168 20.01194520 0.60991780 0.18672415 20.20044076 0.60571242 0.18525844 20.45176817 0.60019075 0.18333662 20.70309559 0.59476461 0.18145106 20.95442300 0.58943166 0.17960082 21.20575041 0.58418963 0.17778504 21.45707782 0.57903631 0.17600284 21.70840524 0.57396958 0.17425340 21.95973265 0.56898735 0.17253589 22.21106006 0.56408760 0.17084953 22.46238747 0.55926839 0.16919356 22.71371489 0.55452780 0.16756721 23.02787415 0.54870983 0.16557485 23.27920156 0.54413948 0.16401256 23.53052898 0.53964196 0.16247761 23.84468824 0.53411990 0.16059638 24.09601565 0.52978015 0.15912058 24.41017492 0.52445025 0.15731129 24.66150233 0.52026032 0.15589150 24.97566160 0.51511298 0.15415036 25.28982086 0.51006311 0.15244553 25.54114827 0.50609160 0.15110710 25.85530754 0.50121050 0.14946500 26.16946680 0.49641960 0.14785635 26.48362607 0.49171649 0.14628019 26.79778534 0.48709881 0.14473561 27.11194460 0.48256430 0.14322172 27.42610387 0.47811079 0.14173766 27.74026313 0.47373615 0.14028261 28.05442240 0.46943836 0.13885576 28.43141351 0.46437967 0.13717970 28.74557278 0.46024408 0.13581224 29.05973205 0.45617927 0.13447062 29.43672316 0.45139240 0.13289379 29.75088243 0.44747712 0.13160660 30.12787355 0.44286483 0.13009320 30.50486467 0.43834383 0.12861286 30.81902393 0.43464416 0.12740376 31.19601505 0.43028373 0.12598139 31.57300617 0.42600736 0.12458928 31.94999729 0.42181267 0.12322650 32.32698841 0.41769737 0.12189217 32.70397952 0.41365928 0.12058544 33.08097064 0.40969625 0.11930549 33.45796176 0.40580626 0.11805153 33.89778473 0.40135760 0.11662041 34.27477585 0.39761916 0.11542021 34.65176697 0.39394774 0.11424369 35.09158994 0.38974677 0.11290012 35.46858106 0.38621459 0.11177265 35.90840403 0.38217153 0.11048458 36.34822700 0.37820987 0.10922501 36.78804997 0.37432723 0.10799305 37.16504109 0.37106039 0.10695839 37.60486406 0.36731844 0.10577540 38.10751889 0.36313077 0.10445423 38.54734186 0.35954198 0.10332431 38.98716483 0.35602152 0.10221796 39.42698780 0.35256747 0.10113449 39.92964263 0.34869896 0.09992337 40.36946560 0.34538114 0.09888664 40.87212042 0.34166379 0.09772725 41.31194339 0.33847439 0.09673437 41.81459822 0.33489961 0.09562354 42.31725304 0.33139758 0.09453740 42.81990787 0.32796613 0.09347514 43.32256269 0.32460318 0.09243601 43.82521752 0.32130672 0.09141927 44.32787234 0.31807483 0.09042422 44.89335902 0.31451383 0.08932988 45.39601384 0.31141307 0.08837872 45.89866867 0.30837132 0.08744723 46.46415535 0.30501782 0.08642208 47.02964202 0.30173467 0.08542026 47.59512870 0.29851969 0.08444102 48.16061538 0.29537081 0.08348359 48.72610206 0.29228605 0.08254728 49.29158873 0.28926349 0.08163140 49.85707541 0.28630130 0.08073530 50.42256209 0.28339770 0.07985837 51.05088062 0.28023815 0.07890574 51.61636730 0.27745276 0.07806732 52.24468583 0.27442060 0.07715610 52.87300436 0.27145245 0.07626561 53.50132289 0.26854634 0.07539517 54.12964142 0.26570036 0.07454411 54.75795995 0.26291271 0.07371180 55.38627848 0.26018162 0.07289764 56.07742887 0.25724074 0.07202234 56.70574740 0.25462304 0.07124443 57.39689778 0.25180306 0.07040768 58.08804816 0.24904349 0.06959013 58.71636670 0.24658561 0.06886302 59.40751708 0.24393617 0.06808036 60.16149932 0.24110867 0.06724637 60.85264970 0.23857254 0.06649943 61.54380008 0.23608808 0.06576874 62.29778232 0.23343488 0.06498953 63.05176456 0.23083942 0.06422838 63.74291494 0.22850940 0.06354600 64.49689718 0.22601952 0.06281778 65.25087942 0.22358222 0.06210590 66.06769350 0.22099927 0.06135252 66.82167574 0.21866637 0.06067299 67.63848983 0.21619292 0.05995347 68.39247207 0.21395793 0.05930416 69.20928616 0.21158726 0.05861629 70.02610025 0.20926755 0.05794407 70.84291434 0.20699720 0.05728697 71.72256028 0.20460564 0.05659566 72.53937437 0.20243296 0.05596839 73.41902031 0.20014323 0.05530813 74.23583440 0.19806211 0.05470873 75.11548035 0.19586792 0.05407748 75.99512629 0.19372095 0.05346053 76.93760409 0.19147135 0.05281484 77.81725003 0.18941754 0.05222602 78.75972783 0.18726454 0.05160945 79.70220562 0.18515911 0.05100717 80.58185156 0.18323561 0.05045752 81.58716121 0.18108488 0.04984358 82.52963901 0.17911318 0.04928135 83.47211681 0.17718327 0.04873159 84.47742646 0.17516930 0.04815846 85.48273610 0.17319988 0.04759858 86.48804575 0.17127357 0.04705150 87.49335540 0.16938898 0.04651679 88.56149690 0.16743085 0.04596175 89.56680655 0.16562820 0.04545126 90.63494806 0.16375432 0.04492108 91.70308956 0.16192176 0.04440307 92.77123106 0.16012917 0.04389682 93.90220442 0.15827330 0.04337316 94.97034592 0.15655906 0.04288989 96.10131927 0.15478344 0.04238974 97.23229263 0.15304712 0.04190107 98.36326598 0.15134880 0.04142349 99.55707119 0.14959602 0.04093101 100.75087640 0.14788286 0.04045005 101.88184976 0.14629521 0.04000468 103.13848682 0.14457018 0.03952114 104.33229203 0.14296820 0.03907244 105.52609723 0.14140090 0.03863378 106.78273430 0.13978738 0.03818251 108.03937136 0.13820984 0.03774162 109.35884027 0.13659085 0.03728949 110.61547733 0.13508344 0.03686880 111.93494625 0.13353565 0.03643715 113.25441516 0.13202255 0.03601545 114.57388408 0.13054298 0.03560337 115.95618484 0.12902774 0.03518164 117.27565376 0.12761348 0.03478826 118.65795453 0.12616442 0.03438545 120.10308715 0.12468390 0.03397415 121.48538791 0.12329960 0.03358982 122.93052053 0.12188453 0.03319718 124.37565316 0.12050128 0.03281359 125.82078578 0.11914877 0.03243874 127.32875025 0.11776915 0.03205659 128.83671472 0.11642083 0.03168332 130.34467920 0.11510277 0.03131862 131.91547552 0.11376087 0.03094753 133.42344000 0.11250150 0.03059945 134.99423632 0.11121873 0.03024507 136.62786450 0.10991506 0.02988511 138.19866083 0.10868979 0.02954696 139.83228901 0.10744393 0.02920329 141.52874904 0.10617980 0.02885474 143.16237722 0.10499006 0.02852687 144.85883726 0.10378225 0.02819416 146.55529729 0.10260171 0.02786911 148.31458918 0.10140527 0.02753983 150.07388106 0.10023622 0.02721822 151.83317295 0.09909363 0.02690403 153.59246483 0.09797661 0.02659699 155.41458857 0.09684576 0.02628628 157.23671231 0.09574055 0.02598273 159.12166790 0.09462329 0.02567599 161.00662350 0.09353164 0.02537639 162.89157909 0.09246473 0.02508370 164.77653468 0.09142174 0.02479767 166.72432213 0.09036827 0.02450887 168.73494142 0.08930584 0.02421771 170.68272887 0.08830002 0.02394216 172.69334817 0.08728511 0.02366422 174.76679932 0.08626250 0.02338426 176.84025047 0.08526345 0.02311083 178.91370162 0.08428714 0.02284372 180.98715277 0.08333283 0.02258270 183.12343578 0.08237183 0.02231994 185.32255064 0.08140532 0.02205574 187.45883364 0.08048780 0.02180501 189.72078035 0.07953847 0.02154567 191.91989521 0.07863664 0.02129937 194.18184192 0.07773004 0.02105183 196.50662048 0.07681968 0.02080333 198.83139905 0.07593031 0.02056063 201.15617761 0.07506121 0.02032352 203.54378803 0.07418900 0.02008563 205.93139844 0.07333675 0.01985323 208.38184071 0.07248211 0.01962024 210.83228298 0.07164708 0.01939265 213.28272525 0.07083101 0.01917028 215.79599938 0.07001302 0.01894745 218.37210535 0.06919389 0.01872435 220.94821133 0.06839365 0.01850644 223.52431730 0.06761163 0.01829354 226.16325513 0.06682881 0.01808047 228.86502481 0.06604586 0.01786741 231.56679450 0.06528097 0.01765931 234.26856418 0.06453355 0.01745601 237.03316571 0.06378621 0.01725276 239.79776725 0.06305592 0.01705419 242.68803249 0.06231006 0.01685143 245.51546588 0.06159725 0.01665769 248.40573112 0.06088521 0.01646420 251.35882821 0.06017446 0.01627109 254.31192531 0.05948007 0.01608247 257.32785426 0.05878722 0.01589429 260.34378320 0.05811028 0.01571047 263.42254400 0.05743510 0.01552716 266.50130480 0.05677540 0.01534808 269.64289746 0.05611764 0.01516956 272.84732196 0.05546222 0.01499171 276.05174647 0.05482190 0.01481798 279.31900283 0.05418404 0.01464495 282.58625919 0.05356083 0.01447592 285.91634740 0.05294020 0.01430762 289.30926747 0.05232245 0.01414012 292.70218753 0.05171893 0.01397651 296.15793945 0.05111836 0.01381372 299.67652323 0.05052102 0.01365184 303.19510700 0.04993745 0.01349370 306.77652262 0.04935713 0.01333647 310.42077010 0.04878030 0.01318021 314.06501758 0.04821677 0.01302756