# omega total a= 1 L= 3 0.03141593 0.04719620 0.02012208 0.09424778 0.10849135 0.05065271 0.15707963 0.16881052 0.08050079 0.21991149 0.22760703 0.10927646 0.28274334 0.28445585 0.13668549 0.34557519 0.33901325 0.16249457 0.40840704 0.39104718 0.18655622 0.47123890 0.44042234 0.20879631 0.53407075 0.48710441 0.22921798 0.59690260 0.53114127 0.24788666 0.65973446 0.57263855 0.26491058 0.72256631 0.61173732 0.28042285 0.78539816 0.64859756 0.29456835 0.84823002 0.68338391 0.30749235 0.91106187 0.71625772 0.31933443 0.97389372 0.74736955 0.33022257 1.03672558 0.77685531 0.34027019 1.09955743 0.80483355 0.34957413 1.16238928 0.83140724 0.35821638 1.22522113 0.85666464 0.36626498 1.28805299 0.88068323 0.37377764 1.35088484 0.90353063 0.38080260 1.41371669 0.92526192 0.38737650 1.47654855 0.94592022 0.39352491 1.53938040 0.96553882 0.39926428 1.60221225 0.98414142 0.40460215 1.66504411 1.00174352 0.40953836 1.72787596 1.01835608 0.41406834 1.79070781 1.03398963 0.41818673 1.85353967 1.04865852 0.42189120 1.91637152 1.06238513 0.42518635 1.97920337 1.07520335 0.42808699 2.04203522 1.08716065 0.43062018 2.10486708 1.09831768 0.43282518 2.16769893 1.10874586 0.43475148 2.23053078 1.11852260 0.43645481 2.29336264 1.12772528 0.43799179 2.35619449 1.13642467 0.43941408 2.41902634 1.14467917 0.44076312 2.48185820 1.15253064 0.44206613 2.54469005 1.16000263 0.44333434 2.60752190 1.16710049 0.44456284 2.67035376 1.17381406 0.44573274 2.73318561 1.18012154 0.44681455 2.79601746 1.18599521 0.44777319 2.85884931 1.19140754 0.44857354 2.92168117 1.19633744 0.44918614 2.98451302 1.20077545 0.44959203 3.04734487 1.20472720 0.44978615 3.11017673 1.20821408 0.44977811 3.17300858 1.21127168 0.44959096 3.23584043 1.21394548 0.44925746 3.29867229 1.21628550 0.44881519 3.36150414 1.21834040 0.44830119 3.42433599 1.22015231 0.44774716 3.48716785 1.22175331 0.44717603 3.54999970 1.22316374 0.44660031 3.61283155 1.22439240 0.44602212 3.67566340 1.22543829 0.44543471 3.73849526 1.22629376 0.44482519 3.80132711 1.22694788 0.44417767 3.86415896 1.22739000 0.44347652 3.92699082 1.22761266 0.44270911 3.98982267 1.22761345 0.44186759 4.05265452 1.22739571 0.44094954 4.11548638 1.22696803 0.43995766 4.17831823 1.22634303 0.43889859 4.24115008 1.22553569 0.43778142 4.30398194 1.22456170 0.43661614 4.36681379 1.22343615 0.43541241 4.42964564 1.22217250 0.43417854 4.49247749 1.22078215 0.43292110 4.55530935 1.21927443 0.43164490 4.61814120 1.21765694 0.43035323 4.68097305 1.21593617 0.42904844 4.74380491 1.21411825 0.42773267 4.80663676 1.21220946 0.42640831 4.86946861 1.21021667 0.42507843 4.93230047 1.20814715 0.42374660 4.99513232 1.20600815 0.42241653 5.05796417 1.20380617 0.42109136 5.12079603 1.20154608 0.41977289 5.18362788 1.19923052 0.41846096 5.24645973 1.19685949 0.41715304 5.30929158 1.19443046 0.41584437 5.37212344 1.19193875 0.41452823 5.43495529 1.18937839 0.41319677 5.49778714 1.18674312 0.41184189 5.56061900 1.18402763 0.41045642 5.62345085 1.18122841 0.40903497 5.68628270 1.17834461 0.40757458 5.74911456 1.17537849 0.40607533 5.81194641 1.17233545 0.40454029 5.87477826 1.16922355 0.40297508 5.93761012 1.16605296 0.40138739 6.00044197 1.16283497 0.39978607 6.06327382 1.15958102 0.39818019 6.12610567 1.15630190 0.39657831 6.18893753 1.15300695 0.39498772 6.25176938 1.14970359 0.39341399 6.31460123 1.14639714 0.39186082 6.37743309 1.14309072 0.39032987 6.44026494 1.13978549 0.38882104 6.50309679 1.13648093 0.38733270 6.56592865 1.13317512 0.38586195 6.62876050 1.12986520 0.38440504 6.69159235 1.12654759 0.38295758 6.75442421 1.12321850 0.38151499 6.81725606 1.11987402 0.38007264 6.88008791 1.11651035 0.37862598 6.94291976 1.11312398 0.37717081 7.00575162 1.10971184 0.37570331 7.06858347 1.10627139 0.37422024 7.13141532 1.10280072 0.37271889 7.19424718 1.09929870 0.37119738 7.25707903 1.09576505 0.36965463 7.31991088 1.09220047 0.36809048 7.38274274 1.08860670 0.36650580 7.44557459 1.08498673 0.36490266 7.50840644 1.08134462 0.36328416 7.57123830 1.07768540 0.36165436 7.63407015 1.07401494 0.36001812 7.69690200 1.07033958 0.35838082 7.75973385 1.06666582 0.35674801 7.82256571 1.06299993 0.35512506 7.88539756 1.05934761 0.35351686 7.94822941 1.05571375 0.35192755 8.01106127 1.05210221 0.35036037 8.07389312 1.04851586 0.34881761 8.13672497 1.04495653 0.34730065 8.19955683 1.04142513 0.34581000 8.26238868 1.03792175 0.34434543 8.32522053 1.03444590 0.34290616 8.38805239 1.03099671 0.34149104 8.45088424 1.02757291 0.34009861 8.51371609 1.02417313 0.33872727 8.57654794 1.02079592 0.33737536 8.63937980 1.01743979 0.33604119 8.70221165 1.01410329 0.33472312 8.76504350 1.01078499 0.33341953 8.82787536 1.00748348 0.33212883 8.89070721 1.00419748 0.33084954 8.95353906 1.00092577 0.32958027 9.01637092 0.99766716 0.32831968 9.07920277 0.99442069 0.32706662 9.14203462 0.99118551 0.32582008 9.20486648 0.98796094 0.32457923 9.26769833 0.98474644 0.32334336 9.33053018 0.98154168 0.32211198 9.39336203 0.97834655 0.32088484 9.45619389 0.97516112 0.31966182 9.58185759 0.96882032 0.31722848 9.70752130 0.96252219 0.31481365 9.77035315 0.95939032 0.31361398 9.89601686 0.95316337 0.31123188 10.02168056 0.94698831 0.30887476 10.14734427 0.94086778 0.30654437 10.27300798 0.93480343 0.30424165 10.39867168 0.92879611 0.30196683 10.52433539 0.92284609 0.29971968 10.64999910 0.91695327 0.29749969 10.77566280 0.91111746 0.29530631 10.90132651 0.90533844 0.29313903 11.02699021 0.89961601 0.29099740 11.15265392 0.89395013 0.28888118 11.27831763 0.88834077 0.28679019 11.40398133 0.88278798 0.28472434 11.52964504 0.87729184 0.28268366 11.65530874 0.87185244 0.28066815 11.78097245 0.86646975 0.27867779 11.96946801 0.85850182 0.27573924 12.09513172 0.85326021 0.27381123 12.22079542 0.84807437 0.27190768 12.34645913 0.84294370 0.27002810 12.53495469 0.83534951 0.26725246 12.66061839 0.83035338 0.26543026 12.78628210 0.82540955 0.26362987 12.97477766 0.81808991 0.26096873 13.10044137 0.81327295 0.25922004 13.28893692 0.80613973 0.25663374 13.41460063 0.80144463 0.25493334 13.60309619 0.79449087 0.25241742 13.72875990 0.78991340 0.25076277 13.91725546 0.78313332 0.24831399 14.04291916 0.77866991 0.24670324 14.23141472 0.77205846 0.24431919 14.41991028 0.76554593 0.24197301 14.54557399 0.76125839 0.24042960 14.73406955 0.75490710 0.23814507 14.92256510 0.74865039 0.23589668 15.11106066 0.74248665 0.23368381 15.29955622 0.73641429 0.23150585 15.42521993 0.73241603 0.23007297 15.61371549 0.72649242 0.22795184 15.80221105 0.72065595 0.22586401 15.99070661 0.71490507 0.22380887 16.17920217 0.70923821 0.22178584 16.36769773 0.70365385 0.21979433 16.55619328 0.69815046 0.21783375 16.74468884 0.69272655 0.21590353 16.99601626 0.68561573 0.21337616 17.18451182 0.68037153 0.21151458 17.37300737 0.67520195 0.20968150 17.56150293 0.67010558 0.20787637 17.81283035 0.66342193 0.20551208 18.00132591 0.65849106 0.20377010 18.18982146 0.65362889 0.20205432 18.44114888 0.64725062 0.19980652 18.62964444 0.64254374 0.19814994 18.88097185 0.63636796 0.19597930 19.06946741 0.63180960 0.19437930 19.32079482 0.62582752 0.19228241 19.50929038 0.62141124 0.19073648 19.76061779 0.61561447 0.18871008 20.01194520 0.60991998 0.18672256 20.20044076 0.60571471 0.18525684 20.45176817 0.60019318 0.18333500 20.70309559 0.59476715 0.18144940 20.95442300 0.58943430 0.17959913 21.20575041 0.58419235 0.17778330 21.45707782 0.57903911 0.17600106 21.70840524 0.57397244 0.17425156 21.95973265 0.56899025 0.17253400 22.21106006 0.56409055 0.17084758 22.46238747 0.55927137 0.16919154 22.71371489 0.55453081 0.16756513 23.02787415 0.54871285 0.16557269 23.27920156 0.54414252 0.16401033 23.53052898 0.53964500 0.16247531 23.84468824 0.53412293 0.16059400 24.09601565 0.52978318 0.15911813 24.41017492 0.52445328 0.15730876 24.66150233 0.52026334 0.15588890 24.97566160 0.51511597 0.15414767 25.28982086 0.51006608 0.15244276 25.54114827 0.50609454 0.15110427 25.85530754 0.50121342 0.14946209 26.16946680 0.49642249 0.14785336 26.48362607 0.49171934 0.14627713 26.79778534 0.48710163 0.14473247 27.11194460 0.48256709 0.14321851 27.42610387 0.47811353 0.14173439 27.74026313 0.47373886 0.14027927 28.05442240 0.46944103 0.13885236 28.43141351 0.46438229 0.13717623 28.74557278 0.46024667 0.13580871 29.05973205 0.45618181 0.13446703 29.43672316 0.45139491 0.13289014 29.75088243 0.44747958 0.13160290 30.12787355 0.44286725 0.13008944 30.50486467 0.43834621 0.12860905 30.81902393 0.43464649 0.12739990 31.19601505 0.43028602 0.12597749 31.57300617 0.42600960 0.12458533 31.94999729 0.42181487 0.12322251 32.32698841 0.41769953 0.12188814 32.70397952 0.41366139 0.12058137 33.08097064 0.40969833 0.11930138 33.45796176 0.40580829 0.11804738 33.89778473 0.40135959 0.11661623 34.27477585 0.39762111 0.11541600 34.65176697 0.39394965 0.11423945 35.09158994 0.38974864 0.11289586 35.46858106 0.38621643 0.11176836 35.90840403 0.38217332 0.11048027 36.34822700 0.37821163 0.10922068 36.78804997 0.37432895 0.10798870 37.16504109 0.37106208 0.10695402 37.60486406 0.36732009 0.10577102 38.10751889 0.36313238 0.10444984 38.54734186 0.35954356 0.10331990 38.98716483 0.35602306 0.10221355 39.42698780 0.35256898 0.10113007 39.92964263 0.34870044 0.09991894 40.36946560 0.34538259 0.09888221 40.87212042 0.34166519 0.09772282 41.31194339 0.33847577 0.09672993 41.81459822 0.33490096 0.09561910 42.31725304 0.33139889 0.09453296 42.81990787 0.32796741 0.09347070 43.32256269 0.32460443 0.09243158 43.82521752 0.32130795 0.09141484 44.32787234 0.31807603 0.09041980 44.89335902 0.31451500 0.08932547 45.39601384 0.31141422 0.08837431 45.89866867 0.30837244 0.08744283 46.46415535 0.30501892 0.08641769 47.02964202 0.30173573 0.08541589 47.59512870 0.29852073 0.08443666 48.16061538 0.29537183 0.08347924 48.72610206 0.29228704 0.08254295 49.29158873 0.28926446 0.08162708 49.85707541 0.28630225 0.08073100 50.42256209 0.28339863 0.07985409 51.05088062 0.28023905 0.07890148 51.61636730 0.27745364 0.07806307 52.24468583 0.27442146 0.07715187 52.87300436 0.27145329 0.07626141 53.50132289 0.26854716 0.07539098 54.12964142 0.26570116 0.07453995 54.75795995 0.26291349 0.07370766 55.38627848 0.26018238 0.07289352 56.07742887 0.25724148 0.07201824 56.70574740 0.25462376 0.07124035 57.39689778 0.25180376 0.07040363 58.08804816 0.24904418 0.06958611 58.71636670 0.24658629 0.06885902 59.40751708 0.24393683 0.06807638 60.16149932 0.24110930 0.06724242 60.85264970 0.23857316 0.06649551 61.54380008 0.23608869 0.06576484 62.29778232 0.23343547 0.06498565 63.05176456 0.23084000 0.06422453 63.74291494 0.22850996 0.06354218 64.49689718 0.22602006 0.06281398 65.25087942 0.22358275 0.06210214 66.06769350 0.22099979 0.06134879 66.82167574 0.21866687 0.06066928 67.63848983 0.21619341 0.05994980 68.39247207 0.21395841 0.05930051 69.20928616 0.21158773 0.05861267 70.02610025 0.20926801 0.05794047 70.84291434 0.20699765 0.05728340 71.72256028 0.20460607 0.05659212 72.53937437 0.20243338 0.05596489 73.41902031 0.20014363 0.05530465 74.23583440 0.19806251 0.05470528 75.11548035 0.19586830 0.05407406 75.99512629 0.19372133 0.05345714 76.93760409 0.19147171 0.05281148 77.81725003 0.18941789 0.05222269 78.75972783 0.18726489 0.05160614 79.70220562 0.18515945 0.05100390 80.58185156 0.18323594 0.05045427 81.58716121 0.18108520 0.04984036 82.52963901 0.17911349 0.04927816 83.47211681 0.17718357 0.04872843 84.47742646 0.17516959 0.04815533 85.48273610 0.17320016 0.04759548 86.48804575 0.17127384 0.04704843 87.49335540 0.16938925 0.04651375 88.56149690 0.16743111 0.04595873 89.56680655 0.16562846 0.04544827 90.63494806 0.16375457 0.04491812 91.70308956 0.16192199 0.04440014 92.77123106 0.16012940 0.04389391 93.90220442 0.15827352 0.04337029 94.97034592 0.15655927 0.04288704 96.10131927 0.15478366 0.04238692 97.23229263 0.15304732 0.04189828 98.36326598 0.15134900 0.04142073 99.55707119 0.14959622 0.04092827 100.75087640 0.14788305 0.04044734 101.88184976 0.14629540 0.04000199 103.13848682 0.14457035 0.03951848 104.33229203 0.14296837 0.03906981 105.52609723 0.14140107 0.03863117 106.78273430 0.13978754 0.03817993 108.03937136 0.13820999 0.03773907 109.35884027 0.13659100 0.03728696 110.61547733 0.13508358 0.03686630 111.93494625 0.13353579 0.03643467 113.25441516 0.13202268 0.03601300 114.57388408 0.13054311 0.03560095 115.95618484 0.12902787 0.03517924 117.27565376 0.12761361 0.03478588 118.65795453 0.12616454 0.03438309 120.10308715 0.12468402 0.03397183 121.48538791 0.12329971 0.03358751 122.93052053 0.12188465 0.03319490 124.37565316 0.12050138 0.03281133 125.82078578 0.11914887 0.03243651 127.32875025 0.11776926 0.03205438 128.83671472 0.11642093 0.03168114 130.34467920 0.11510286 0.03131646 131.91547552 0.11376096 0.03094540 133.42344000 0.11250159 0.03059733 134.99423632 0.11121882 0.03024298 136.62786450 0.10991514 0.02988304 138.19866083 0.10868987 0.02954491 139.83228901 0.10744401 0.02920126 141.52874904 0.10617987 0.02885274 143.16237722 0.10499014 0.02852489 144.85883726 0.10378232 0.02819220 146.55529729 0.10260178 0.02786717 148.31458918 0.10140534 0.02753791 150.07388106 0.10023628 0.02721633 151.83317295 0.09909369 0.02690215 153.59246483 0.09797667 0.02659514 155.41458857 0.09684582 0.02628444 157.23671231 0.09574061 0.02598091 159.12166790 0.09462335 0.02567419 161.00662350 0.09353169 0.02537462 162.89157909 0.09246478 0.02508194 164.77653468 0.09142179 0.02479593 166.72432213 0.09036832 0.02450715 168.73494142 0.08930588 0.02421601 170.68272887 0.08830006 0.02394048 172.69334817 0.08728515 0.02366255 174.76679932 0.08626254 0.02338261 176.84025047 0.08526349 0.02310921 178.91370162 0.08428718 0.02284211 180.98715277 0.08333287 0.02258111 183.12343578 0.08237186 0.02231836 185.32255064 0.08140536 0.02205419 187.45883364 0.08048783 0.02180348 189.72078035 0.07953851 0.02154415 191.91989521 0.07863668 0.02129786 194.18184192 0.07773007 0.02105034 196.50662048 0.07681971 0.02080186 198.83139905 0.07593034 0.02055918 201.15617761 0.07506124 0.02032209 203.54378803 0.07418903 0.02008421 205.93139844 0.07333678 0.01985183 208.38184071 0.07248214 0.01961885 210.83228298 0.07164711 0.01939128 213.28272525 0.07083103 0.01916893 215.79599938 0.07001304 0.01894610 218.37210535 0.06919392 0.01872302 220.94821133 0.06839367 0.01850513 223.52431730 0.06761165 0.01829225 226.16325513 0.06682883 0.01807919 228.86502481 0.06604587 0.01786614 231.56679450 0.06528099 0.01765806 234.26856418 0.06453357 0.01745477 237.03316571 0.06378622 0.01725153 239.79776725 0.06305594 0.01705298 242.68803249 0.06231008 0.01685024 245.51546588 0.06159727 0.01665651 248.40573112 0.06088523 0.01646303 251.35882821 0.06017448 0.01626994 254.31192531 0.05948009 0.01608132 257.32785426 0.05878723 0.01589316 260.34378320 0.05811029 0.01570935 263.42254400 0.05743511 0.01552605 266.50130480 0.05677541 0.01534699 269.64289746 0.05611765 0.01516848 272.84732196 0.05546223 0.01499064 276.05174647 0.05482191 0.01481693 279.31900283 0.05418405 0.01464391 282.58625919 0.05356084 0.01447489 285.91634740 0.05294021 0.01430660 289.30926747 0.05232246 0.01413911 292.70218753 0.05171894 0.01397551 296.15793945 0.05111837 0.01381274 299.67652323 0.05052102 0.01365086 303.19510700 0.04993746 0.01349274 306.77652262 0.04935714 0.01333552 310.42077010 0.04878030 0.01317926 314.06501758 0.04821677 0.01302663