# omega total a= 1 L= 3 0.01047198 8.36033185 5.13434164 0.03141593 6.98523976 3.89864632 0.05235988 6.34029536 3.30128607 0.07330383 5.93734211 2.92821315 0.09424778 5.65766949 2.66921728 0.11519173 5.45248149 2.47813020 0.13613568 5.29667522 2.33133118 0.15707963 5.17576545 2.21541658 0.17802358 5.08076891 2.12229044 0.19896753 5.00537351 2.04640782 0.21991149 4.94443211 1.98329475 0.24085544 4.89366491 1.92923330 0.26179939 4.84989185 1.88146425 0.28274334 4.81113702 1.83828703 0.30368729 4.77638360 1.79884676 0.32463124 4.74516875 1.76277331 0.34557519 4.71727735 1.72990901 0.36651914 4.69253415 1.70012381 0.38746309 4.67072265 1.67324368 0.40840704 4.65155221 1.64902281 0.42935100 4.63466891 1.62715470 0.45029495 4.61967824 1.60729292 0.47123890 4.60618576 1.58908811 0.49218285 4.59382687 1.57221486 0.51312680 4.58229672 1.55639848 0.53407075 4.57136763 1.54143130 0.55501470 4.56086524 1.52715135 0.57595865 4.55067515 1.51344950 0.59690260 4.54071021 1.50024047 0.61784656 4.53090925 1.48746230 0.63879051 4.52121873 1.47505987 0.65973446 4.51159461 1.46298708 0.68067841 4.50199395 1.45119845 0.70162236 4.49238188 1.43965606 0.72256631 4.48273470 1.42833198 0.74351026 4.47303108 1.41720033 0.76445421 4.46327478 1.40625795 0.78539816 4.45345979 1.39549272 0.80634211 4.44360942 1.38491890 0.82728607 4.43373593 1.37454096 0.84823002 4.42387028 1.36437993 0.86917397 4.41403076 1.35444550 0.89011792 4.40423566 1.34474721 0.91106187 4.39451731 1.33530731 0.93200582 4.38487391 1.32611729 0.95294977 4.37531948 1.31718281 0.97389372 4.36585569 1.30849881 0.99483767 4.35647929 1.30005592 1.01578162 4.34718362 1.29184172 1.03672558 4.33796393 1.28384601 1.05766953 4.32880988 1.27605384 1.07861348 4.31970788 1.26844749 1.09955743 4.31064792 1.26101257 1.12050138 4.30162328 1.25373835 1.14144533 4.29261911 1.24660654 1.16238928 4.28362986 1.23960780 1.18333323 4.27463724 1.23272082 1.20427718 4.26563997 1.22594059 1.22522113 4.25663164 1.21925702 1.24616509 4.24759944 1.21265461 1.26710904 4.23853843 1.20612487 1.28805299 4.22944206 1.19965809 1.30899694 4.22031190 1.19325225 1.32994089 4.21113888 1.18689548 1.35088484 4.20192229 1.18058376 1.37182879 4.19266552 1.17431696 1.39277274 4.18336191 1.16808584 1.41371669 4.17401682 1.16189225 1.43466065 4.16463575 1.15573847 1.45560460 4.15521424 1.14961754 1.47654855 4.14576422 1.14353778 1.49749250 4.13628198 1.13749320 1.51843645 4.12677570 1.13148885 1.53938040 4.11724612 1.12552289 1.56032435 4.10770461 1.11960374 1.58126830 4.09814749 1.11372549 1.60221225 4.08858093 1.10789187 1.62315620 4.07900840 1.10210380 1.64410016 4.06943454 1.09636375 1.66504411 4.05986411 1.09067400 1.68598806 4.05029956 1.08503506 1.70693201 4.04073860 1.07944275 1.72787596 4.03119244 1.07390587 1.74881991 4.02165596 1.06841781 1.76976386 4.01213939 1.06298651 1.79070781 4.00263666 1.05760467 1.81165176 3.99315668 1.05227893 1.83259571 3.98369579 1.04700447 1.85353967 3.97426576 1.04179076 1.87448362 3.96485782 1.03662823 1.89542757 3.95547862 1.03152169 1.91637152 3.94613257 1.02647391 1.93731547 3.93681280 1.02147729 1.95825942 3.92752795 1.01653856 1.97920337 3.91827272 1.01165170 2.00014732 3.90905365 1.00682157 2.02109127 3.89986679 1.00204343 2.04203522 3.89071526 0.99731908 2.06297918 3.88159621 0.99264490 2.08392313 3.87251327 0.98802320 2.10486708 3.86346056 0.98344756 2.12581103 3.85444316 0.97892174 2.14675498 3.84545838 0.97444242 2.16769893 3.83650424 0.97000683 2.18864288 3.82758147 0.96561480 2.20958683 3.81868972 0.96126515 2.23053078 3.80982876 0.95695694 2.25147474 3.80099614 0.95268705 2.27241869 3.79219488 0.94845757 2.29336264 3.78341663 0.94426003 2.31430659 3.77467321 0.94010469 2.33525054 3.76595246 0.93597960 2.35619449 3.75726326 0.93189232 2.37713844 3.74859555 0.92783288 2.39808239 3.73995781 0.92380852 2.41902634 3.73134657 0.91981543 2.43997029 3.72276508 0.91585606 2.46091425 3.71420615 0.91192317 2.48185820 3.70567708 0.90802300 2.50280215 3.69717457 0.90415193 2.52374610 3.68870131 0.90031198 2.54469005 3.68025643 0.89650183 2.56563400 3.67183507 0.89271652 2.58657795 3.66344479 0.88896254 2.60752190 3.65508345 0.88523753 2.62846585 3.64674828 0.88153844 2.64940980 3.63844489 0.87787010 2.67035376 3.63016818 0.87422733 2.69129771 3.62192603 0.87061705 2.71224166 3.61370756 0.86702879 2.73318561 3.60552403 0.86347267 2.75412956 3.59736590 0.85993947 2.77507351 3.58923922 0.85643441 2.79601746 3.58114375 0.85295702 2.81696141 3.57307755 0.84950511 2.83790536 3.56504239 0.84608003 2.85884931 3.55703583 0.84267922 2.87979327 3.54906414 0.83930822 2.90073722 3.54111417 0.83595458 2.92168117 3.53319722 0.83262846 2.94262512 3.52530867 0.82932532 2.96356907 3.51745259 0.82604872 2.98451302 3.50962401 0.82279377 3.00545697 3.50182516 0.81956234 3.02640092 3.49405854 0.81635652 3.04734487 3.48631810 0.81317047 3.06828883 3.47861112 0.81001073 3.08923278 3.47092934 0.80686943 3.11017673 3.46327592 0.80374931 3.13112068 3.45565564 0.80065465 3.15206463 3.44806250 0.79757968 3.17300858 3.44049664 0.79452434 3.19395253 3.43296292 0.79149301 3.21489648 3.42546012 0.78848437 3.23584043 3.41798755 0.78549760 3.25678438 3.41054084 0.78252855 3.27772834 3.40312625 0.77958285 3.29867229 3.39573941 0.77665633 3.31961624 3.38838382 0.77375207 3.34056019 3.38105792 0.77086853 3.36150414 3.37376329 0.76800701 3.38244809 3.36649714 0.76516485 3.40339204 3.35926311 0.76234529 3.42433599 3.35205850 0.75954570 3.44527994 3.34488350 0.75676616 3.46622389 3.33774139 0.75400964 3.48716785 3.33062688 0.75127110 3.50811180 3.32354601 0.74855605 3.52905575 3.31649422 0.74586019 3.54999970 3.30947484 0.74318653 3.57094365 3.30248466 0.74053196 3.59188760 3.29552667 0.73789923 3.61283155 3.28859926 0.73528672 3.63377550 3.28170173 0.73269376 3.65471945 3.27483658 0.73012256 3.67566340 3.26800092 0.72757038 3.69660736 3.26119642 0.72503873 3.71755131 3.25442378 0.72252815 3.73849526 3.24767925 0.72003515 3.75943921 3.24096774 0.71756420 3.78038316 3.23428489 0.71511122 3.80132711 3.22763279 0.71267808 3.82227106 3.22101221 0.71026547 3.84321501 3.21441867 0.70786917 3.86415896 3.20785681 0.70549344 3.88510291 3.20132557 0.70313726 3.90604687 3.19482170 0.70079759 3.92699082 3.18834873 0.69847766 3.94793477 3.18190430 0.69617522 3.96887872 3.17548852 0.69389038 3.98982267 3.16910112 0.69162285 4.01076662 3.16274365 0.68937401 4.03171057 3.15641228 0.68714032 4.05265452 3.15011049 0.68492496 4.07359847 3.14383709 0.68272680 4.09454243 3.13758865 0.68054264 4.11548638 3.13137034 0.67837728 4.13643033 3.12517759 0.67622642 4.15737428 3.11901271 0.67409223 4.17831823 3.11287439 0.67197345 4.19926218 3.10676231 0.66986979 4.26209403 3.08858133 0.66364730 4.30398194 3.07659110 0.65957361 4.36681379 3.05879037 0.65356470 4.40870169 3.04704725 0.64962735 4.47153354 3.02961319 0.64381914 4.53436540 3.01238912 0.63812215 4.59719725 2.99537280 0.63253439 4.63908515 2.98414020 0.62886647 4.70191700 2.96745858 0.62345054 4.76474886 2.95097016 0.61813103 4.82758071 2.93467263 0.61290611 4.89041256 2.91856249 0.60777297 4.95324442 2.90263715 0.60272962 5.01607627 2.88689007 0.59777047 5.07890812 2.87132024 0.59289511 5.14173998 2.85592596 0.58810247 5.20457183 2.84070107 0.58338746 5.28834763 2.82066384 0.57722169 5.35117949 2.80582876 0.57268504 5.41401134 2.79115608 0.56822155 5.47684319 2.77664212 0.56382849 5.56061900 2.75753477 0.55807963 5.62345085 2.74338415 0.55384699 5.68628270 2.72938519 0.54968049 5.77005851 2.71095129 0.54422507 5.83289036 2.69729611 0.54020629 5.91666616 2.67931215 0.53494259 6.00044197 2.66157812 0.52978413 6.06327382 2.64843829 0.52598230 6.14704963 2.63112809 0.52099958 6.23082543 2.61405302 0.51611311 6.31460123 2.59720786 0.51131974 6.37743309 2.58472163 0.50778385 6.46120889 2.56826643 0.50314606 6.54498469 2.55202722 0.49859315 6.62876050 2.53599950 0.49412263 6.71253630 2.52017845 0.48973170 6.79631211 2.50455957 0.48541783 6.90103186 2.48531368 0.48013022 6.98480767 2.47013401 0.47598115 7.06858347 2.45514274 0.47190160 7.15235927 2.44033601 0.46788956 7.25707903 2.42208140 0.46296653 7.34085483 2.40767614 0.45909929 7.44557459 2.38991184 0.45435133 7.52935039 2.37589011 0.45061983 7.63407015 2.35859468 0.44603638 7.71784595 2.34493988 0.44243254 7.82256571 2.32809330 0.43800402 7.92728546 2.31148794 0.43365780 8.03200522 2.29511830 0.42939136 8.13672497 2.27897909 0.42520239 8.24144473 2.26306519 0.42108862 8.34616448 2.24737165 0.41704792 8.45088424 2.23189372 0.41307827 8.55560399 2.21662682 0.40917778 8.66032375 2.20156654 0.40534462 8.78598745 2.18376087 0.40083125 8.89070721 2.16914015 0.39714015 8.99542696 2.15471275 0.39351103 9.12109067 2.13764961 0.38923579 9.22581043 2.12363402 0.38573778 9.35147413 2.10705432 0.38161572 9.47713784 2.09072960 0.37757388 9.60280154 2.07465397 0.37361003 9.70752130 2.06144377 0.37036485 9.83318501 2.04581015 0.36653849 9.95884871 2.03040996 0.36278429 10.08451242 2.01523800 0.35910034 10.23112008 1.99781911 0.35488870 10.35678378 1.98312455 0.35135069 10.48244749 1.96864276 0.34787729 10.62905514 1.95201017 0.34390447 10.75471885 1.93797387 0.34056550 10.90132651 1.92184907 0.33674522 11.02699021 1.90823809 0.33353347 11.17359787 1.89259827 0.32985764 11.32020553 1.87721064 0.32625642 11.46681319 1.86206918 0.32272770 11.61342084 1.84716806 0.31926945 11.76002850 1.83250166 0.31587970 11.90663616 1.81806452 0.31255656 12.05324381 1.80385135 0.30929820 12.22079542 1.78787540 0.30565141 12.36740308 1.77412511 0.30252600 12.53495469 1.75866539 0.29902678 12.68156234 1.74535595 0.29602678 12.84911395 1.73038809 0.29266683 13.01666556 1.71567312 0.28937797 13.18421717 1.70120477 0.28615808 13.35176878 1.68697697 0.28300515 13.51932039 1.67298386 0.27991720 13.68687199 1.65921975 0.27689236 13.87536755 1.64400203 0.27356258 14.04291916 1.63070653 0.27066589 14.23141472 1.61600274 0.26747593 14.41991028 1.60156073 0.26435663 14.58746189 1.58893762 0.26164143 14.77595745 1.57497166 0.25864962 14.96445301 1.56124842 0.25572230 15.17389252 1.54627755 0.25254298 15.36238808 1.53304673 0.24974545 15.55088364 1.52004013 0.24700653 15.76032315 1.50584457 0.24402991 15.94881870 1.49329332 0.24140908 16.15825821 1.47959069 0.23855959 16.36769773 1.46613744 0.23577391 16.57713724 1.45292696 0.23304998 16.78657675 1.43995286 0.23038586 16.99601626 1.42720900 0.22777968 17.22639972 1.41344956 0.22497764 17.43583923 1.40117003 0.22248733 17.66622269 1.38790770 0.21980866 17.89660615 1.37489529 0.21719150 18.12698961 1.36212596 0.21463383 18.35737307 1.34959308 0.21213370 18.58775653 1.33729029 0.20968926 18.81814000 1.32521143 0.20729873 19.06946741 1.31228292 0.20475036 19.32079482 1.29960642 0.20226198 19.55117828 1.28820156 0.20003193 19.80250569 1.27598830 0.19765295 20.05383311 1.26400692 0.19532827 20.32610447 1.25128130 0.19286910 20.57743188 1.23976263 0.19065192 20.84970324 1.22752403 0.18830527 21.10103066 1.21644223 0.18618850 21.37330202 1.20466368 0.18394702 21.64557338 1.19311435 0.18175752 21.93878870 1.18092546 0.17945574 22.21106006 1.16983162 0.17736872 22.50427538 1.15811898 0.17517352 22.77654674 1.14745458 0.17318211 23.06976205 1.13619118 0.17108641 23.36297737 1.12515073 0.16903972 23.67713663 1.11356175 0.16689934 23.97035195 1.10296283 0.16494897 24.28451121 1.09183287 0.16290821 24.59867048 1.08092981 0.16091634 24.91282974 1.07024685 0.15897164 25.22698901 1.05977744 0.15707249 25.54114827 1.04951528 0.15521734 25.87625149 1.03879060 0.15328534 26.21135471 1.02828777 0.15139999 26.54645792 1.01800001 0.14955966 26.88156114 1.00792081 0.14776278 27.23760831 0.99743317 0.14589952 27.57271152 0.98776461 0.14418760 27.92875869 0.97769995 0.14241147 28.28480586 0.96784328 0.14067789 28.64085303 0.95818820 0.13898537 29.01784414 0.94817808 0.13723648 29.39483526 0.93838011 0.13553042 29.77182638 0.92878757 0.13386567 30.14881750 0.91939404 0.13224076 30.52580862 0.91019335 0.13065429 30.92374369 0.90068419 0.12901993 31.32167876 0.89137661 0.12742543 31.71961383 0.88226423 0.12586938 32.11754890 0.87334090 0.12435040 32.53642792 0.86414570 0.12279012 32.95530694 0.85514687 0.12126806 33.37418596 0.84633811 0.11978284 33.81400893 0.83728688 0.11826158 34.23288795 0.82884917 0.11684788 34.67271092 0.82017505 0.11539903 35.11253389 0.81168488 0.11398530 35.57330081 0.80298130 0.11254056 36.03406774 0.79446668 0.11113163 36.49483466 0.78613481 0.10975720 36.95560158 0.77797977 0.10841604 37.43731246 0.76963695 0.10704820 37.89807938 0.76182618 0.10577145 38.40073420 0.75348794 0.10441263 38.88244508 0.74567013 0.10314250 39.38509990 0.73768697 0.10184942 39.88775473 0.72987626 0.10058810 40.39040955 0.72223235 0.09935738 40.91400833 0.71444147 0.09810677 41.43760710 0.70681987 0.09688701 41.96120588 0.69936197 0.09569699 42.50574860 0.69177365 0.09448976 43.05029133 0.68435086 0.09331240 43.59483406 0.67708812 0.09216382 44.16032073 0.66970982 0.09100042 44.72580741 0.66249284 0.08986583 45.29129409 0.65543183 0.08875901 45.87772472 0.64826856 0.08763945 46.46415535 0.64126205 0.08654761 47.07152993 0.63416502 0.08544492 47.65796055 0.62746177 0.08440644 48.28627909 0.62043677 0.08332128 48.89365367 0.61379525 0.08229835 49.52197220 0.60707397 0.08126610 50.15029073 0.60049945 0.08025929 50.79955321 0.59385479 0.07924467 51.44881569 0.58735652 0.07825525 52.11902212 0.58079699 0.07725937 52.76828460 0.57458136 0.07631838 53.45943499 0.56810991 0.07534144 54.12964142 0.56197278 0.07441758 54.82079181 0.55578163 0.07348818 55.53288614 0.54954428 0.07255449 56.24498047 0.54344560 0.07164413 56.95707481 0.53748093 0.07075624 57.69011310 0.53147612 0.06986484 58.44409533 0.52543809 0.06897101 59.17713362 0.51969776 0.06812359 59.93111585 0.51392262 0.06727333 60.70604204 0.50811900 0.06642121 61.48096823 0.50244465 0.06559033 62.27683837 0.49674693 0.06475828 63.07270851 0.49117648 0.06394701 63.88952260 0.48558729 0.06313519 64.70633669 0.48012324 0.06234366 65.52315078 0.47478011 0.06157167 66.36090882 0.46942138 0.06079943 67.21961081 0.46405198 0.06002768 68.07831280 0.45880316 0.05927522 68.95795875 0.45354711 0.05852367 69.83760469 0.44840917 0.05779088 70.71725063 0.44338536 0.05707617 71.63878448 0.43824060 0.05634609 72.56031832 0.43321278 0.05563441 73.48185217 0.42829791 0.05494044 74.42432996 0.42338421 0.05424834 75.36680776 0.41858083 0.05357341 76.33022951 0.41378086 0.05290059 77.31459520 0.40898768 0.05223033 78.29896090 0.40430303 0.05157681 79.30427055 0.39962691 0.05092602 80.33052415 0.39496231 0.05027836 81.35677775 0.39040403 0.04964693 82.40397530 0.38585858 0.04901873 83.45117285 0.38141641 0.04840619 84.51931436 0.37698819 0.04779695 85.60839981 0.37257639 0.04719132 86.69748526 0.36826529 0.04660083 87.80751467 0.36397137 0.04601396 88.93848802 0.35969681 0.04543101 90.06946138 0.35552010 0.04486261 91.24232264 0.35128850 0.04428798 92.39423994 0.34722802 0.04373773 93.58804515 0.34311635 0.04318169 94.78185036 0.33909953 0.04263960 95.99659952 0.33510626 0.04210177 97.23229263 0.33113810 0.04156839 98.46798574 0.32726145 0.04104834 99.74556675 0.32334630 0.04052415 101.02314776 0.31952234 0.04001316 102.30072878 0.31578645 0.03951487 103.62019769 0.31201734 0.03901310 104.93966661 0.30833581 0.03852390 106.28007947 0.30468244 0.03803932 107.64143629 0.30105825 0.03755947 109.02373706 0.29746417 0.03708446 110.42698177 0.29390107 0.03661437 111.85117044 0.29036975 0.03614928 113.27535911 0.28692104 0.03569585 114.72049173 0.28350313 0.03524722 116.18656831 0.28011669 0.03480345 117.69453278 0.27671566 0.03435850 119.20249725 0.27339504 0.03392478 120.71046173 0.27015202 0.03350185 122.26031410 0.26689699 0.03307802 123.83111043 0.26367591 0.03265925 125.42285071 0.26048912 0.03224557 127.03553494 0.25733692 0.03183699 128.64821916 0.25425903 0.03143863 130.30279130 0.25117574 0.03104014 131.97830738 0.24812766 0.03064676 133.65382346 0.24515167 0.03026322 135.37122744 0.24217348 0.02987992 137.10957538 0.23923079 0.02950171 138.86886726 0.23632361 0.02912855 140.64910310 0.23345194 0.02876043 142.45028289 0.23061573 0.02839733 144.27240663 0.22781493 0.02803921 146.11547432 0.22504942 0.02768604 148.00042991 0.22228880 0.02733392 149.88538550 0.21959425 0.02699065 151.81222900 0.21690570 0.02664854 153.76001644 0.21425321 0.02631141 155.72874784 0.21163654 0.02597921 157.71842319 0.20905542 0.02565188 159.72904248 0.20650958 0.02532939 161.78154968 0.20397313 0.02500842 163.85500084 0.20147259 0.02469234 165.94939594 0.19900758 0.02438107 168.08567894 0.19655396 0.02407155 170.24290590 0.19413628 0.02376687 172.42107680 0.19175408 0.02346696 174.62019166 0.18940695 0.02317174 176.86119442 0.18707288 0.02287844 179.12314113 0.18477403 0.02258984 181.42697574 0.18248939 0.02230327 183.75175431 0.18023999 0.02202138 186.09747682 0.17802529 0.02174408 188.48508724 0.17582572 0.02146891