# omega total a= 1 L= 3 0.03141593 0.04747967 0.02035978 0.09424778 0.10915533 0.05120840 0.15707963 0.16969130 0.08123869 0.21991149 0.22848345 0.11001268 0.28274334 0.28508852 0.13722026 0.34557519 0.33926812 0.16271483 0.40840704 0.39090128 0.18644085 0.47123890 0.43999555 0.20844340 0.53407075 0.48663824 0.22882808 0.59690260 0.53094904 0.24772215 0.65973446 0.57304844 0.26524848 0.72256631 0.61302280 0.28149647 0.78539816 0.65092255 0.29652054 0.84823002 0.68677442 0.31035052 0.91106187 0.72060517 0.32301203 0.97389372 0.75245926 0.33454188 1.03672558 0.78241195 0.34499999 1.09955743 0.81057333 0.35447371 1.16238928 0.83708205 0.36307330 1.22522113 0.86209654 0.37092514 1.28805299 0.88577834 0.37815803 1.35088484 0.90827189 0.38488598 1.41371669 0.92969029 0.39119598 1.47654855 0.95010937 0.39714251 1.53938040 0.96957063 0.40274991 1.60221225 0.98809020 0.40801984 1.66504411 1.00566878 0.41293987 1.72787596 1.02230136 0.41749186 1.79070781 1.03798568 0.42165950 1.85353967 1.05272857 0.42543409 1.91637152 1.06654960 0.42881798 1.97920337 1.07948163 0.43182530 2.04203522 1.09156826 0.43448008 2.10486708 1.10285960 0.43681252 2.16769893 1.11340850 0.43885586 2.23053078 1.12326787 0.44064395 2.29336264 1.13248916 0.44220997 2.35619449 1.14112090 0.44358506 2.41902634 1.14920657 0.44479644 2.48185820 1.15678236 0.44586529 2.54469005 1.16387526 0.44680491 2.60752190 1.17050304 0.44762062 2.67035376 1.17667597 0.44831114 2.73318561 1.18240030 0.44887168 2.79601746 1.18768199 0.44929734 2.85884931 1.19253029 0.44958636 2.92168117 1.19696011 0.44974239 2.98451302 1.20099288 0.44977533 3.04734487 1.20465559 0.44970063 3.11017673 1.20797827 0.44953693 3.17300858 1.21099029 0.44930280 3.23584043 1.21371674 0.44901333 3.29867229 1.21617578 0.44867767 3.36150414 1.21837793 0.44829817 3.42433599 1.22032717 0.44787141 3.48716785 1.22202376 0.44739066 3.54999970 1.22346751 0.44684889 3.61283155 1.22466088 0.44624159 3.67566340 1.22561053 0.44556836 3.73849526 1.22632755 0.44483307 3.80132711 1.22682601 0.44404266 3.86415896 1.22712075 0.44320503 3.92699082 1.22722507 0.44232701 3.98982267 1.22714922 0.44141281 4.05265452 1.22690000 0.44046367 4.11548638 1.22648170 0.43947862 4.17831823 1.22589789 0.43845618 4.24115008 1.22515358 0.43739627 4.30398194 1.22425689 0.43630184 4.36681379 1.22321955 0.43517935 4.42964564 1.22205637 0.43403830 4.49247749 1.22078331 0.43288947 4.55530935 1.21941485 0.43174250 4.61814120 1.21796160 0.43060365 4.68097305 1.21642833 0.42947393 4.74380491 1.21481323 0.42834832 4.80663676 1.21310856 0.42721640 4.86946861 1.21130235 0.42606383 4.93230047 1.20938122 0.42487493 4.99513232 1.20733336 0.42363548 5.05796417 1.20515123 0.42233526 5.12079603 1.20283349 0.42096982 5.18362788 1.20038549 0.41954108 5.24645973 1.19781864 0.41805670 5.30929158 1.19514858 0.41652845 5.37212344 1.19239294 0.41497018 5.43495529 1.18956890 0.41339547 5.49778714 1.18669121 0.41181586 5.56061900 1.18377119 0.41023982 5.62345085 1.18081608 0.40867216 5.68628270 1.17782942 0.40711432 5.74911456 1.17481209 0.40556534 5.81194641 1.17176335 0.40402278 5.87477826 1.16868200 0.40248384 5.93761012 1.16556735 0.40094621 6.00044197 1.16241983 0.39940866 6.06327382 1.15924114 0.39787119 6.12610567 1.15603421 0.39633503 6.18893753 1.15280282 0.39480221 6.25176938 1.14955107 0.39327515 6.31460123 1.14628278 0.39175606 6.37743309 1.14300122 0.39024670 6.44026494 1.13970859 0.38874789 6.50309679 1.13640592 0.38725943 6.56592865 1.13309305 0.38578001 6.62876050 1.12976880 0.38430747 6.69159235 1.12643115 0.38283888 6.75442421 1.12307766 0.38137095 6.81725606 1.11970586 0.37990041 6.88008791 1.11631365 0.37842436 6.94291976 1.11289954 0.37694051 7.00575162 1.10946291 0.37544738 7.06858347 1.10600406 0.37394445 7.13141532 1.10252426 0.37243203 7.19424718 1.09902546 0.37091120 7.25707903 1.09551029 0.36938364 7.31991088 1.09198181 0.36785146 7.38274274 1.08844342 0.36631713 7.44557459 1.08489891 0.36478351 7.50840644 1.08135221 0.36325362 7.57123830 1.07780742 0.36173064 7.63407015 1.07426892 0.36021805 7.69690200 1.07074138 0.35871962 7.75973385 1.06722913 0.35723884 7.82256571 1.06373632 0.35577903 7.88539756 1.06026648 0.35434300 7.94822941 1.05682227 0.35293274 8.01106127 1.05340504 0.35154906 8.07389312 1.05001456 0.35019132 8.13672497 1.04664908 0.34885750 8.19955683 1.04330503 0.34754389 8.26238868 1.03997752 0.34624558 8.32522053 1.03666068 0.34495676 8.38805239 1.03334780 0.34367083 8.45088424 1.03003232 0.34238136 8.51371609 1.02670801 0.34108225 8.57654794 1.02336983 0.33976847 8.63937980 1.02001420 0.33843641 8.70221165 1.01663924 0.33708401 8.76504350 1.01324502 0.33571106 8.82787536 1.00983338 0.33431899 8.89070721 1.00640774 0.33291072 8.95353906 1.00297277 0.33149035 9.01637092 0.99953388 0.33006268 9.07920277 0.99609685 0.32863286 9.14203462 0.99266746 0.32720605 9.20486648 0.98925102 0.32578701 9.26769833 0.98585217 0.32437986 9.33053018 0.98247465 0.32298792 9.39336203 0.97912141 0.32161376 9.45619389 0.97579442 0.32025907 9.58185759 0.96922278 0.31761088 9.70752130 0.96276022 0.31504280 9.77035315 0.95956784 0.31378665 9.89601686 0.95325461 0.31132379 10.02168056 0.94702761 0.30891775 10.14734427 0.94087669 0.30655841 10.27300798 0.93479392 0.30423783 10.39867168 0.92877374 0.30195031 10.52433539 0.92281285 0.29969234 10.64999910 0.91690979 0.29746215 10.77566280 0.91106403 0.29525891 10.90132651 0.90527595 0.29308267 11.02699021 0.89954629 0.29093387 11.15265392 0.89387576 0.28881296 11.27831763 0.88826491 0.28672028 11.40398133 0.88271407 0.28465602 11.52964504 0.87722322 0.28262005 11.65530874 0.87179201 0.28061200 11.78097245 0.86641979 0.27863124 11.96946801 0.85847013 0.27570949 12.09513172 0.85324127 0.27379323 12.22079542 0.84806782 0.27190107 12.34645913 0.84294864 0.27003207 12.53495469 0.83536926 0.26727003 12.66061839 0.83038116 0.26545519 12.78628210 0.82544387 0.26366076 12.97477766 0.81813147 0.26100620 13.10044137 0.81331789 0.25926055 13.28893692 0.80618800 0.25667722 13.41460063 0.80149426 0.25497800 13.60309619 0.79454162 0.25246300 13.72875990 0.78996446 0.25080857 13.91725546 0.78318444 0.24835975 14.04291916 0.77872087 0.24674880 14.23141472 0.77210904 0.24436431 14.41991028 0.76559600 0.24201758 14.54557399 0.76130808 0.24047377 14.73406955 0.75495618 0.23818862 14.92256510 0.74869883 0.23593958 15.11106066 0.74253444 0.23372606 15.29955622 0.73646142 0.23154745 15.42521993 0.73246272 0.23011414 15.61371549 0.72653844 0.22799235 15.80221105 0.72070130 0.22590386 15.99070661 0.71494975 0.22384808 16.17920217 0.70928222 0.22182440 16.36769773 0.70369719 0.21983224 16.55619328 0.69819313 0.21787102 16.74468884 0.69276855 0.21594017 16.99601626 0.68565684 0.21341195 17.18451182 0.68041198 0.21154975 17.37300737 0.67524175 0.20971606 17.56150293 0.67014474 0.20791031 17.81283035 0.66346023 0.20554523 18.00132591 0.65852873 0.20380266 18.18982146 0.65366594 0.20208630 18.44114888 0.64728684 0.19983772 18.62964444 0.64257935 0.19818059 18.88097185 0.63640277 0.19600920 19.06946741 0.63184383 0.19440866 19.32079482 0.62586097 0.19231105 19.50929038 0.62144412 0.19076460 19.76061779 0.61564660 0.18873751 20.01194520 0.60995138 0.18674931 20.20044076 0.60574557 0.18528310 20.45176817 0.60022333 0.18336062 20.70309559 0.59479662 0.18147439 20.95442300 0.58946309 0.17962350 21.20575041 0.58422048 0.17780707 21.45707782 0.57906660 0.17602424 21.70840524 0.57399930 0.17427417 21.95973265 0.56901650 0.17255605 22.21106006 0.56411620 0.17086909 22.46238747 0.55929643 0.16921253 22.71371489 0.55455530 0.16758560 23.02787415 0.54873666 0.16559253 23.27920156 0.54416579 0.16402969 23.53052898 0.53966774 0.16249420 23.84468824 0.53414504 0.16061231 24.09601565 0.52980479 0.15913600 24.41017492 0.52447429 0.15732609 24.66150233 0.52028388 0.15590581 24.97566160 0.51513595 0.15416408 25.28982086 0.51008551 0.15245868 25.54114827 0.50611355 0.15111980 25.85530754 0.50123191 0.14947716 26.16946680 0.49644048 0.14786798 26.48362607 0.49173685 0.14629132 26.79778534 0.48711867 0.14474625 27.11194460 0.48258367 0.14323189 27.42610387 0.47812968 0.14174737 27.74026313 0.47375458 0.14029188 28.05442240 0.46945634 0.13886461 28.43141351 0.46439713 0.13718805 28.74557278 0.46026113 0.13582020 29.05973205 0.45619590 0.13447819 29.43672316 0.45140856 0.13290092 29.75088243 0.44749289 0.13161337 30.12787355 0.44288016 0.13009956 30.50486467 0.43835873 0.12861883 30.81902393 0.43465871 0.12740941 31.19601505 0.43029788 0.12598669 31.57300617 0.42602111 0.12459423 31.94999729 0.42182604 0.12323111 32.32698841 0.41771039 0.12189646 32.70397952 0.41367194 0.12058942 33.08097064 0.40970857 0.11930917 33.45796176 0.40581825 0.11805493 33.89778473 0.40136922 0.11662350 34.27477585 0.39763048 0.11542303 34.65176697 0.39395876 0.11424626 35.09158994 0.38975746 0.11290242 35.46858106 0.38622501 0.11177472 35.90840403 0.38218164 0.11048640 36.34822700 0.37821969 0.10922659 36.78804997 0.37433676 0.10799440 37.16504109 0.37106969 0.10695955 37.60486406 0.36732747 0.10577635 38.10751889 0.36313951 0.10445495 38.54734186 0.35955048 0.10332484 38.98716483 0.35602977 0.10221832 39.42698780 0.35257550 0.10113468 39.92964263 0.34870674 0.09992337 40.36946560 0.34538871 0.09888648 40.87212042 0.34167112 0.09772692 41.31194339 0.33848154 0.09673390 41.81459822 0.33490654 0.09562292 42.31725304 0.33140430 0.09453663 42.81990787 0.32797265 0.09347423 43.32256269 0.32460951 0.09243497 43.82521752 0.32131287 0.09141811 44.32787234 0.31808081 0.09042295 44.89335902 0.31451961 0.08932848 45.39601384 0.31141870 0.08837721 45.89866867 0.30837679 0.08744563 46.46415535 0.30502312 0.08642037 47.02964202 0.30173980 0.08541846 47.59512870 0.29852467 0.08443912 48.16061538 0.29537564 0.08348161 48.72610206 0.29229074 0.08254521 49.29158873 0.28926804 0.08162926 49.85707541 0.28630572 0.08073309 50.42256209 0.28340199 0.07985609 51.05088062 0.28024230 0.07890339 51.61636730 0.27745680 0.07806491 52.24468583 0.27442451 0.07715363 52.87300436 0.27145624 0.07626308 53.50132289 0.26855001 0.07539259 54.12964142 0.26570393 0.07454148 54.75795995 0.26291617 0.07370912 55.38627848 0.26018497 0.07289492 56.07742887 0.25724399 0.07201957 56.70574740 0.25462620 0.07124162 57.39689778 0.25180612 0.07040484 58.08804816 0.24904645 0.06958726 58.71636670 0.24658849 0.06886012 59.40751708 0.24393896 0.06807743 60.16149932 0.24111137 0.06724341 60.85264970 0.23857516 0.06649645 61.54380008 0.23609062 0.06576573 62.29778232 0.23343734 0.06498650 63.05176456 0.23084180 0.06422533 63.74291494 0.22851171 0.06354294 64.49689718 0.22602176 0.06281470 65.25087942 0.22358440 0.06210281 66.06769350 0.22100137 0.06134942 66.82167574 0.21866841 0.06066989 67.63848983 0.21619490 0.05995036 68.39247207 0.21395985 0.05930104 69.20928616 0.21158912 0.05861317 70.02610025 0.20926935 0.05794094 70.84291434 0.20699895 0.05728384 71.72256028 0.20460733 0.05659253 72.53937437 0.20243459 0.05596527 73.41902031 0.20014481 0.05530500 74.23583440 0.19806365 0.05470560 75.11548035 0.19586940 0.05407436 75.99512629 0.19372239 0.05345741 76.93760409 0.19147274 0.05281173 77.81725003 0.18941889 0.05222292 78.75972783 0.18726585 0.05160635 79.70220562 0.18516038 0.05100409 80.58185156 0.18323684 0.05045444 81.58716121 0.18108607 0.04984051 82.52963901 0.17911433 0.04927829 83.47211681 0.17718439 0.04872854 84.47742646 0.17517037 0.04815543 85.48273610 0.17320092 0.04759556 86.48804575 0.17127458 0.04704850 87.49335540 0.16938996 0.04651380 88.56149690 0.16743180 0.04595877 89.56680655 0.16562912 0.04544829 90.63494806 0.16375521 0.04491813 91.70308956 0.16192261 0.04440014 92.77123106 0.16013000 0.04389390 93.90220442 0.15827410 0.04337026 94.97034592 0.15655983 0.04288701 96.10131927 0.15478420 0.04238687 97.23229263 0.15304785 0.04189822 98.36326598 0.15134951 0.04142066 99.55707119 0.14959671 0.04092820 100.75087640 0.14788352 0.04044726 101.88184976 0.14629585 0.04000190 103.13848682 0.14457080 0.03951838 104.33229203 0.14296880 0.03906970 105.52609723 0.14140148 0.03863106 106.78273430 0.13978794 0.03817981 108.03937136 0.13821038 0.03773895 109.35884027 0.13659138 0.03728683 110.61547733 0.13508394 0.03686617 111.93494625 0.13353614 0.03643453 113.25441516 0.13202302 0.03601286 114.57388408 0.13054344 0.03560080 115.95618484 0.12902818 0.03517908 117.27565376 0.12761391 0.03478572 118.65795453 0.12616483 0.03438293 120.10308715 0.12468431 0.03397166 121.48538791 0.12329998 0.03358735 122.93052053 0.12188491 0.03319473 124.37565316 0.12050164 0.03281116 125.82078578 0.11914912 0.03243633 127.32875025 0.11776949 0.03205420 128.83671472 0.11642116 0.03168096 130.34467920 0.11510308 0.03131628 131.91547552 0.11376117 0.03094521 133.42344000 0.11250180 0.03059715 134.99423632 0.11121902 0.03024279 136.62786450 0.10991534 0.02988285 138.19866083 0.10869006 0.02954472 139.83228901 0.10744419 0.02920107 141.52874904 0.10618005 0.02885255 143.16237722 0.10499030 0.02852469 144.85883726 0.10378248 0.02819200 146.55529729 0.10260193 0.02786697 148.31458918 0.10140549 0.02753771 150.07388106 0.10023643 0.02721613 151.83317295 0.09909383 0.02690195 153.59246483 0.09797681 0.02659494 155.41458857 0.09684595 0.02628424 157.23671231 0.09574074 0.02598071 159.12166790 0.09462347 0.02567399 161.00662350 0.09353181 0.02537442 162.89157909 0.09246490 0.02508174 164.77653468 0.09142190 0.02479573 166.72432213 0.09036843 0.02450695 168.73494142 0.08930599 0.02421581 170.68272887 0.08830016 0.02394028 172.69334817 0.08728525 0.02366236 174.76679932 0.08626264 0.02338241 176.84025047 0.08526358 0.02310901 178.91370162 0.08428727 0.02284192 180.98715277 0.08333295 0.02258092 183.12343578 0.08237194 0.02231817 185.32255064 0.08140544 0.02205400 187.45883364 0.08048791 0.02180328 189.72078035 0.07953858 0.02154396 191.91989521 0.07863675 0.02129767 194.18184192 0.07773014 0.02105015 196.50662048 0.07681978 0.02080167 198.83139905 0.07593041 0.02055899 201.15617761 0.07506130 0.02032190 203.54378803 0.07418909 0.02008402 205.93139844 0.07333683 0.01985164 208.38184071 0.07248219 0.01961867 210.83228298 0.07164716 0.01939110 213.28272525 0.07083108 0.01916874 215.79599938 0.07001310 0.01894592 218.37210535 0.06919397 0.01872284 220.94821133 0.06839371 0.01850495 223.52431730 0.06761170 0.01829207 226.16325513 0.06682888 0.01807901 228.86502481 0.06604592 0.01786597 231.56679450 0.06528103 0.01765788 234.26856418 0.06453361 0.01745459 237.03316571 0.06378626 0.01725136 239.79776725 0.06305598 0.01705281 242.68803249 0.06231011 0.01685007 245.51546588 0.06159730 0.01665634 248.40573112 0.06088526 0.01646286 251.35882821 0.06017451 0.01626977 254.31192531 0.05948012 0.01608116 257.32785426 0.05878726 0.01589300 260.34378320 0.05811032 0.01570919 263.42254400 0.05743514 0.01552589 266.50130480 0.05677544 0.01534683 269.64289746 0.05611768 0.01516833 272.84732196 0.05546225 0.01499048 276.05174647 0.05482193 0.01481677 279.31900283 0.05418407 0.01464375 282.58625919 0.05356086 0.01447474 285.91634740 0.05294023 0.01430644 289.30926747 0.05232248 0.01413896 292.70218753 0.05171896 0.01397536 296.15793945 0.05111839 0.01381259 299.67652323 0.05052104 0.01365071 303.19510700 0.04993748 0.01349259 306.77652262 0.04935715 0.01333537 310.42077010 0.04878032 0.01317912 314.06501758 0.04821679 0.01302649