# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.05235988 3.57026517 0.79696271 0.79785748 0.79766651 0.79489353 0.15707963 3.67604081 0.79811494 0.79826853 0.79609172 0.79953939 0.26179939 3.47366223 0.73751439 0.73745270 0.73518886 0.73955991 0.36651914 3.28911148 0.68360810 0.68361280 0.68164990 0.68545287 0.47123890 3.14399777 0.64005596 0.64011447 0.63850013 0.64154795 0.57595865 3.02959616 0.60445734 0.60451975 0.60321252 0.60562189 0.68067841 2.93753874 0.57473945 0.57483084 0.57377086 0.57563662 0.78539816 2.86130884 0.54935508 0.54942902 0.54856573 0.55004631 0.89011792 2.79637250 0.52717627 0.52726313 0.52655329 0.52771147 0.99483767 2.73949034 0.50742221 0.50751710 0.50692862 0.50783988 1.09955743 2.68874514 0.48962660 0.48971909 0.48922654 0.48995608 1.20427718 2.64292090 0.47347327 0.47355802 0.47314190 0.47373648 1.30899694 2.60078898 0.45861297 0.45869480 0.45834038 0.45882585 1.41371669 2.56175808 0.44489279 0.44497225 0.44466783 0.44506736 1.51843645 2.52508206 0.43209855 0.43216442 0.43190124 0.43224337 1.62315620 2.49052316 0.42016192 0.42021694 0.41998779 0.42028384 1.72787596 2.45767372 0.40893725 0.40898705 0.40878628 0.40904122 1.83259571 2.42651382 0.39841679 0.39846242 0.39828568 0.39850625 1.93731547 2.39612177 0.38832407 0.38835902 0.38820297 0.38840189 2.04203522 2.36689944 0.37876465 0.37879491 0.37865654 0.37883312 2.14675498 2.33909430 0.36978296 0.36981210 0.36968889 0.36984355 2.25147474 2.31212554 0.36120611 0.36123111 0.36112126 0.36126001 2.35619449 2.28578180 0.35296145 0.35298088 0.35288275 0.35300990 2.46091425 2.26047084 0.34514286 0.34516199 0.34507413 0.34518666 2.56563400 2.23594754 0.33767261 0.33769059 0.33761177 0.33771236 2.67035376 2.21187427 0.33045341 0.33047188 0.33040115 0.33048961 2.77507351 2.18838435 0.32351278 0.32353161 0.32346812 0.32354573 2.87979327 2.16599335 0.31697125 0.31698849 0.31693145 0.31700135 2.98451302 2.14428418 0.31071317 0.31072616 0.31067488 0.31074085 3.08923278 2.12292556 0.30464166 0.30465166 0.30460562 0.30466714 3.19395253 2.10226570 0.29883949 0.29884763 0.29880629 0.29886298 3.29867229 2.08211131 0.29324187 0.29324824 0.29321112 0.29326361 3.40339204 2.06221007 0.28778677 0.28779344 0.28776016 0.28780687 3.50811180 2.04268628 0.28249861 0.28250433 0.28247454 0.28251722 3.61283155 2.02401437 0.27749677 0.27750073 0.27747413 0.27751403 3.71755131 2.00568551 0.27264384 0.27264702 0.27262334 0.27265982 3.82227106 1.98770032 0.26793285 0.26793450 0.26791351 0.26794767 3.92699082 1.97013925 0.26337790 0.26337953 0.26336099 0.26339166 4.03171057 1.95304731 0.25899287 0.25899443 0.25897812 0.25900561 4.13643033 1.93631104 0.25474100 0.25474206 0.25472781 0.25475280 4.24115008 1.91984421 0.25059729 0.25059824 0.25058590 0.25060820 4.34586984 1.90378159 0.24659216 0.24659303 0.24658245 0.24660224 4.45058959 1.88813149 0.24272873 0.24272881 0.24271984 0.24273807 4.55530935 1.87277371 0.23897490 0.23897502 0.23896756 0.23898352 4.66002910 1.85787988 0.23536858 0.23536813 0.23536205 0.23537653 4.76474886 1.84331046 0.23187239 0.23187112 0.23186630 0.23187974 4.86946861 1.82885464 0.22842809 0.22842618 0.22842254 0.22843487 4.97418837 1.81465640 0.22507618 0.22507386 0.22507134 0.22508243 5.07890812 1.80075038 0.22182233 0.22181940 0.22181792 0.22182811 5.18362788 1.78730261 0.21870464 0.21870100 0.21870049 0.21870995 5.28834763 1.77411175 0.21566870 0.21566511 0.21566549 0.21567357 5.39306739 1.76105392 0.21268381 0.21268038 0.21268159 0.21268826 5.49778714 1.74819406 0.20976751 0.20976385 0.20976582 0.20977158 5.60250690 1.73568356 0.20695609 0.20695210 0.20695479 0.20695981 5.70722665 1.72356129 0.20425789 0.20425363 0.20425698 0.20426127 5.81194641 1.71170006 0.20163821 0.20163378 0.20163776 0.20164127 5.91666616 1.69990064 0.19904646 0.19904193 0.19904649 0.19904922 6.02138592 1.68839275 0.19653996 0.19653560 0.19654070 0.19654244 6.12610567 1.67713586 0.19410688 0.19410278 0.19410837 0.19410909 6.23082543 1.66592968 0.19169635 0.19169205 0.19169811 0.19169833 6.33554518 1.65485609 0.18932842 0.18932390 0.18933040 0.18933017 6.44026494 1.64409815 0.18704896 0.18704447 0.18705138 0.18705049 6.54498469 1.63354303 0.18482958 0.18482496 0.18483226 0.18483090 6.64970445 1.62309454 0.18264647 0.18264169 0.18264938 0.18264760 6.75442421 1.61278398 0.18050422 0.18049935 0.18050738 0.18050519 6.85914396 1.60263807 0.17840739 0.17840247 0.17841081 0.17840820 6.96386372 1.59271231 0.17637246 0.17636752 0.17637614 0.17637313 7.06858347 1.58292924 0.17438100 0.17437596 0.17438487 0.17438153 7.17330323 1.57338896 0.17245644 0.17245138 0.17246057 0.17245682 7.27802298 1.56404899 0.17058641 0.17058143 0.17059087 0.17058666 7.38274274 1.55472841 0.16872471 0.16871986 0.16872952 0.16872484 7.48746249 1.54545189 0.16687782 0.16687302 0.16688291 0.16687785 7.59218225 1.53626232 0.16505693 0.16505208 0.16506218 0.16505687 7.69690200 1.52728420 0.16329335 0.16328833 0.16329862 0.16329321 7.80162176 1.51860127 0.16160730 0.16160213 0.16161260 0.16160709 7.90634151 1.51002554 0.15995076 0.15994552 0.15995618 0.15995047 8.01106127 1.50153949 0.15831963 0.15831440 0.15832523 0.15831925 8.11578102 1.49310831 0.15670484 0.15669967 0.15671066 0.15670437 8.22050078 1.48480300 0.15512371 0.15511852 0.15512964 0.15512319 8.32522053 1.47670181 0.15359552 0.15359017 0.15360142 0.15359494 8.42994029 1.46872659 0.15210094 0.15209545 0.15210682 0.15210031 8.53466004 1.46086425 0.15063667 0.15063106 0.15064256 0.15063599 8.63937980 1.45312200 0.14920389 0.14919821 0.14920982 0.14920315 8.74409955 1.44548262 0.14779812 0.14779238 0.14780410 0.14779733 8.84881931 1.43793620 0.14641656 0.14641078 0.14642260 0.14641573 8.95353906 1.43048124 0.14505840 0.14505262 0.14506452 0.14505752 9.05825882 1.42312890 0.14372662 0.14372086 0.14373284 0.14372570 9.16297857 1.41584467 0.14241270 0.14240696 0.14241902 0.14241174 9.26769833 1.40857751 0.14110376 0.14109801 0.14111013 0.14110277 9.37241808 1.40136203 0.13980856 0.13980277 0.13981496 0.13980756 9.47713784 1.39430999 0.13855499 0.13854914 0.13856141 0.13855397 9.58185759 1.38743254 0.13734546 0.13733958 0.13735190 0.13734440 9.68657735 1.38056665 0.13613900 0.13613313 0.13614552 0.13613791 9.79129710 1.37370008 0.13493253 0.13492665 0.13493909 0.13493142 9.89601686 1.36695206 0.13375578 0.13374986 0.13376235 0.13375465 10.00073661 1.36032163 0.13260830 0.13260237 0.13261492 0.13260715 10.10545637 1.35376379 0.13147870 0.13147280 0.13148539 0.13147753 10.21017612 1.34725071 0.13035993 0.13035405 0.13036668 0.13035874 10.31489588 1.34078236 0.12925194 0.12924608 0.12925874 0.12925074 10.41961563 1.33441351 0.12816854 0.12816266 0.12817535 0.12816732 10.52433539 1.32815236 0.12711180 0.12710591 0.12711863 0.12711057 10.62905514 1.32196757 0.12607365 0.12606776 0.12608051 0.12607241 10.73377490 1.31587463 0.12505774 0.12505184 0.12506462 0.12505649 10.83849465 1.30986079 0.12406096 0.12405506 0.12406786 0.12405971 10.94321441 1.30388506 0.12307322 0.12306732 0.12308013 0.12307197 11.04793417 1.29796596 0.12209905 0.12209314 0.12210597 0.12209780 11.15265392 1.29212614 0.12114399 0.12113808 0.12115093 0.12114274 11.25737368 1.28636352 0.12020745 0.12020154 0.12021440 0.12020619 11.36209343 1.28067079 0.11928738 0.11928147 0.11929435 0.11928613 11.46681319 1.27502810 0.11837876 0.11837284 0.11838573 0.11837749 11.57153294 1.26941361 0.11747633 0.11747042 0.11748332 0.11747505 11.67625270 1.26385534 0.11658708 0.11658121 0.11659411 0.11658580 11.78097245 1.25840713 0.11572422 0.11571837 0.11573127 0.11572295 11.88569221 1.25307700 0.11488960 0.11488372 0.11489663 0.11488834 11.99041196 1.24782568 0.11407338 0.11406745 0.11408036 0.11407212 12.09513172 1.24259618 0.11326150 0.11325553 0.11326843 0.11326022 12.19985147 1.23734151 0.11244251 0.11243654 0.11244944 0.11244123 12.30457123 1.23206140 0.11161639 0.11161043 0.11162332 0.11161510 12.40929098 1.22680251 0.11079446 0.11078852 0.11080140 0.11079318 12.51401074 1.22161889 0.10998999 0.10998408 0.10999695 0.10998872 12.61873049 1.21653916 0.10921008 0.10920417 0.10921704 0.10920882 12.72345025 1.21154164 0.10844942 0.10844351 0.10845636 0.10844816 12.82817000 1.20658652 0.10769819 0.10769226 0.10770511 0.10769692 12.93288976 1.20168322 0.10695868 0.10695275 0.10696559 0.10695740 13.03760951 1.19687066 0.10624040 0.10623448 0.10624732 0.10623913 13.14232927 1.19213957 0.10554097 0.10553506 0.10554789 0.10553969 13.24704902 1.18744184 0.10484850 0.10484261 0.10485543 0.10484722 13.35176878 1.18275681 0.10415796 0.10415210 0.10416490 0.10415668 13.45648853 1.17809297 0.10347145 0.10346562 0.10347840 0.10347018 13.56120829 1.17344757 0.10278827 0.10278245 0.10279521 0.10278700 13.66592804 1.16879848 0.10210297 0.10209718 0.10210991 0.10210172 13.77064780 1.16413570 0.10141319 0.10140741 0.10142012 0.10141194 13.87536755 1.15948733 0.10072585 0.10072009 0.10073277 0.10072461 13.98008731 1.15491077 0.10005497 0.10004923 0.10006188 0.10005374 14.08480706 1.15044978 0.09941119 0.09940545 0.09941809 0.09940997 14.18952682 1.14608565 0.09878983 0.09878409 0.09879671 0.09878862 14.29424657 1.14174084 0.09817186 0.09816612 0.09817871 0.09817067 14.39896633 1.13734771 0.09754080 0.09753505 0.09754760 0.09753962 14.50368608 1.13290958 0.09689756 0.09689179 0.09690432 0.09689638 14.60840584 1.12849308 0.09625846 0.09625268 0.09626519 0.09625728 14.71312559 1.12417022 0.09564100 0.09563522 0.09564771 0.09563983 14.81784535 1.11995996 0.09504972 0.09504394 0.09505641 0.09504855 14.92256510 1.11581840 0.09447389 0.09446812 0.09448057 0.09447272 15.02728486 1.11169535 0.09390131 0.09389555 0.09390798 0.09390014 15.13200461 1.10758903 0.09333155 0.09332582 0.09333823 0.09333038 15.23672437 1.10351509 0.09276843 0.09276272 0.09277511 0.09276725 15.34144413 1.09945395 0.09220713 0.09220144 0.09221381 0.09220596 15.44616388 1.09538027 0.09164150 0.09163583 0.09164817 0.09164033 15.55088364 1.09131189 0.09107593 0.09107027 0.09108259 0.09107476 15.65560339 1.08729020 0.09052049 0.09051485 0.09052715 0.09051932 15.76032315 1.08333876 0.08998092 0.08997531 0.08998758 0.08997975 15.86504290 1.07945722 0.08945707 0.08945149 0.08946374 0.08945591 15.96976266 1.07563316 0.08894587 0.08894032 0.08895254 0.08894472 16.07448241 1.07185181 0.08844368 0.08843816 0.08845035 0.08844254 16.17920217 1.06810646 0.08794885 0.08794335 0.08795552 0.08794772 16.28392192 1.06439928 0.08746193 0.08745646 0.08746860 0.08746081 16.38864168 1.06072842 0.08698250 0.08697705 0.08698916 0.08698139 16.49336143 1.05708176 0.08650764 0.08650221 0.08651427 0.08650653 16.59808119 1.05344236 0.08603324 0.08602782 0.08603984 0.08603214 16.70280094 1.04979268 0.08555505 0.08554963 0.08556162 0.08555395 16.80752070 1.04611780 0.08506946 0.08506405 0.08507600 0.08506836 16.91224045 1.04241557 0.08457596 0.08457057 0.08458248 0.08457487 17.01696021 1.03870386 0.08407894 0.08407356 0.08408544 0.08407785 17.12167996 1.03501290 0.08358572 0.08358036 0.08359221 0.08358463 17.22639972 1.03137329 0.08310369 0.08309835 0.08311017 0.08310262 17.33111947 1.02780722 0.08263819 0.08263285 0.08264464 0.08263712 17.43583923 1.02432031 0.08219054 0.08218519 0.08219696 0.08218948 17.54055898 1.02090245 0.08175827 0.08175292 0.08176467 0.08175722 17.64527874 1.01753871 0.08133777 0.08133242 0.08134415 0.08133672 17.74999849 1.01421582 0.08092583 0.08092049 0.08093219 0.08092478 17.85471825 1.01092216 0.08051966 0.08051433 0.08052600 0.08051861 17.95943800 1.00764917 0.08011720 0.08011188 0.08012352 0.08011616 18.06415776 1.00438889 0.07971652 0.07971120 0.07972281 0.07971548 18.16887751 1.00112717 0.07931419 0.07930888 0.07932045 0.07931315 18.27359727 0.99784827 0.07890639 0.07890109 0.07891262 0.07890536 18.37831702 0.99455075 0.07849279 0.07848749 0.07849900 0.07849176 18.48303678 0.99125164 0.07807752 0.07807223 0.07808370 0.07807649 18.58775653 0.98797119 0.07766547 0.07766020 0.07767164 0.07766445 18.69247629 0.98471926 0.07725905 0.07725380 0.07726521 0.07725804 18.79719604 0.98149788 0.07685874 0.07685350 0.07686489 0.07685772 18.90191580 0.97831037 0.07646532 0.07646011 0.07647146 0.07646431 19.00663555 0.97516255 0.07608018 0.07607499 0.07608632 0.07607918 19.11135531 0.97205590 0.07570370 0.07569852 0.07570982 0.07570270 19.21607506 0.96898301 0.07533407 0.07532891 0.07534019 0.07533308 19.32079482 0.96593308 0.07496873 0.07496358 0.07497482 0.07496774 19.42551457 0.96290236 0.07460676 0.07460163 0.07461284 0.07460578 19.53023433 0.95989459 0.07424908 0.07424396 0.07425514 0.07424810 19.63495408 0.95690916 0.07389553 0.07389043 0.07390157 0.07389456 19.73967384 0.95393585 0.07354363 0.07353855 0.07354966 0.07354266 19.84439360 0.95096667 0.07319145 0.07318639 0.07319747 0.07319049 19.94911335 0.94800770 0.07284046 0.07283542 0.07284647 0.07283951 20.05383311 0.94507320 0.07249412 0.07248910 0.07250011 0.07249318 20.15855286 0.94217127 0.07215438 0.07214936 0.07216035 0.07215344 20.26327262 0.93929955 0.07182067 0.07181566 0.07182662 0.07181974 20.36799237 0.93645248 0.07149167 0.07148667 0.07149760 0.07149074 20.47271213 0.93362893 0.07116710 0.07116210 0.07117300 0.07116617 20.57743188 0.93083259 0.07084785 0.07084286 0.07085373 0.07084692 20.68215164 0.92806634 0.07053462 0.07052963 0.07054047 0.07053369 20.78687139 0.92532647 0.07022649 0.07022151 0.07023232 0.07022557 20.89159115 0.92260242 0.06992094 0.06991597 0.06992675 0.06992001 20.99631090 0.91988335 0.06961534 0.06961039 0.06962114 0.06961442 21.10103066 0.91716656 0.06930906 0.06930413 0.06931484 0.06930814 21.20575041 0.91446016 0.06900405 0.06899913 0.06900982 0.06900313 21.31047017 0.91177527 0.06870299 0.06869810 0.06870875 0.06870208 21.41518992 0.90911357 0.06840630 0.06840143 0.06841205 0.06840539 21.51990968 0.90646225 0.06811090 0.06810605 0.06811663 0.06811000 21.62462943 0.90380153 0.06781202 0.06780721 0.06781776 0.06781113 21.72934919 0.90111695 0.06750622 0.06750144 0.06751195 0.06750534 21.83406894 0.89840671 0.06719307 0.06718831 0.06719878 0.06719220 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