# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.03926991 3.50401437 0.78698166 0.78816036 0.78902121 0.78403291 0.11780972 3.74180411 0.82030723 0.82098173 0.81916473 0.82089433 0.19634954 3.61222089 0.77780977 0.77802326 0.77571385 0.77966419 0.27488936 3.45237614 0.73120759 0.73129542 0.72905055 0.73326993 0.35342917 3.31131178 0.69021731 0.69026486 0.68825315 0.69211744 0.43196899 3.19392295 0.65540482 0.65543296 0.65368708 0.65704110 0.51050881 3.09679929 0.62579189 0.62581675 0.62432133 0.62716043 0.58904862 3.01574346 0.60033044 0.60037427 0.59909859 0.60146084 0.66758844 2.94680571 0.57807158 0.57812176 0.57703272 0.57900052 0.74612826 2.88720317 0.55834173 0.55839953 0.55746705 0.55910480 0.82466807 2.83455427 0.54057341 0.54063492 0.53983296 0.54120144 0.90320789 2.78774092 0.52448532 0.52455047 0.52385724 0.52500420 0.98174770 2.74529051 0.50971858 0.50978779 0.50918556 0.51014952 1.06028752 2.70642471 0.49608731 0.49614759 0.49562148 0.49644752 1.13882734 2.67050548 0.48341615 0.48347822 0.48301593 0.48371911 1.21736715 2.63696052 0.47155782 0.47162318 0.47121498 0.47181456 1.29590697 2.60551495 0.46043873 0.46050536 0.46014319 0.46065790 1.37444679 2.57576838 0.44995473 0.45001713 0.44969427 0.45014318 1.45298660 2.54744203 0.44002785 0.44008488 0.43979595 0.44019096 1.53152642 2.52035835 0.43059708 0.43065207 0.43039257 0.43073922 1.61006623 2.49438951 0.42162484 0.42167491 0.42144097 0.42174968 1.68860605 2.46939148 0.41305681 0.41310382 0.41289228 0.41316717 1.76714587 2.44529146 0.40487285 0.40491927 0.40472745 0.40497100 1.84568568 2.42209428 0.39706737 0.39711312 0.39693876 0.39715515 1.92422550 2.39960167 0.38957848 0.38961919 0.38946020 0.38965758 2.00276532 2.37768489 0.38236791 0.38240413 0.38225890 0.38243954 2.08130513 2.35628764 0.37540208 0.37543658 0.37530370 0.37546720 2.15984495 2.33554541 0.36871998 0.36875318 0.36863135 0.36877945 2.23838477 2.31525236 0.36226435 0.36229250 0.36218072 0.36231887 2.31692458 2.29551810 0.35605297 0.35607658 0.35597383 0.35610325 2.39546440 2.27631457 0.35007273 0.35009429 0.34999972 0.35011919 2.47400421 2.25761786 0.34430851 0.34432950 0.34424238 0.34435155 2.55254403 2.23928542 0.33871853 0.33873861 0.33865832 0.33875846 2.63108385 2.22121605 0.33327201 0.33328965 0.33321562 0.33330918 2.70962366 2.20348667 0.32798602 0.32800148 0.32793318 0.32802079 2.78816348 2.18619256 0.32288337 0.32289728 0.32283424 0.32291591 2.86670330 2.16935233 0.31796179 0.31797435 0.31791614 0.31799229 2.94524311 2.15282417 0.31317953 0.31319062 0.31313683 0.31320817 3.02378293 2.13659596 0.30853070 0.30854065 0.30849100 0.30855758 3.10232275 2.12062796 0.30400153 0.30401021 0.30396441 0.30402679 3.18086256 2.10496252 0.29959896 0.29960619 0.29956394 0.29962274 3.25940238 2.08967109 0.29533899 0.29534620 0.29530719 0.29536141 3.33794219 2.07461936 0.29118477 0.29119175 0.29115580 0.29120590 3.41648201 2.05983780 0.28714314 0.28714886 0.28711576 0.28716306 3.49502183 2.04533630 0.28321534 0.28321996 0.28318952 0.28323415 3.57356164 2.03107906 0.27938641 0.27939016 0.27936220 0.27940417 3.65210146 2.01709754 0.27566106 0.27566403 0.27563837 0.27567784 3.73064128 2.00343044 0.27204917 0.27205172 0.27202821 0.27206502 3.80918109 1.98997977 0.26852346 0.26852545 0.26850395 0.26853843 3.88772091 1.97673739 0.26508056 0.26508210 0.26506250 0.26509470 3.96626073 1.96382648 0.26175102 0.26175215 0.26173433 0.26176437 4.04480054 1.95119618 0.25851808 0.25851908 0.25850291 0.25853068 4.12334036 1.93868110 0.25533746 0.25533789 0.25532329 0.25534934 4.20188017 1.92628951 0.25221104 0.25221067 0.25219755 0.25222226 4.28041999 1.91410983 0.24915977 0.24915909 0.24914735 0.24917037 4.35895981 1.90215557 0.24618674 0.24618596 0.24617551 0.24619675 4.43749962 1.89046235 0.24330015 0.24329926 0.24329001 0.24330960 4.51603944 1.87895958 0.24048051 0.24047937 0.24047126 0.24048942 4.59457926 1.86758165 0.23770950 0.23770809 0.23770107 0.23771790 4.67311907 1.85638813 0.23500172 0.23500009 0.23499409 0.23500963 4.75165889 1.84538297 0.23235833 0.23235646 0.23235143 0.23236578 4.83019870 1.83456751 0.22977832 0.22977620 0.22977209 0.22978534 4.90873852 1.82394776 0.22726182 0.22725964 0.22725639 0.22726841 4.98727834 1.81347925 0.22479628 0.22479426 0.22479183 0.22480246 5.06581815 1.80313773 0.22237580 0.22237377 0.22237210 0.22238160 5.14435797 1.79292324 0.21999977 0.21999741 0.21999648 0.22000521 5.22289779 1.78291747 0.21768815 0.21768557 0.21768533 0.21769326 5.30143760 1.77313806 0.21544445 0.21544182 0.21544223 0.21544922 5.37997742 1.76345835 0.21323499 0.21323218 0.21323321 0.21323945 5.45851724 1.75383226 0.21104821 0.21104510 0.21104670 0.21105239 5.53705705 1.74434000 0.20890467 0.20890131 0.20890346 0.20890858 5.61559687 1.73502691 0.20681529 0.20681186 0.20681454 0.20681894 5.69413668 1.72587563 0.20477513 0.20477167 0.20477486 0.20477853 5.77267650 1.71682754 0.20276845 0.20276491 0.20276858 0.20277161 5.85121632 1.70788510 0.20079568 0.20079208 0.20079620 0.20079861 5.92975613 1.69908279 0.19886542 0.19886170 0.19886624 0.19886813 6.00829595 1.69040494 0.19697299 0.19696904 0.19697400 0.19697550 6.08683577 1.68182549 0.19511125 0.19510708 0.19511243 0.19511356 6.16537558 1.67332205 0.19327428 0.19327002 0.19327574 0.19327641 6.24391540 1.66493266 0.19147186 0.19146758 0.19147365 0.19147381 6.32245522 1.65669625 0.18971377 0.18970947 0.18971587 0.18971555 6.40099503 1.64858719 0.18799286 0.18798855 0.18799527 0.18799447 6.47953485 1.64057746 0.18630147 0.18629715 0.18630417 0.18630293 6.55807466 1.63267983 0.18464254 0.18463820 0.18464551 0.18464385 6.63661448 1.62491416 0.18302143 0.18301705 0.18302463 0.18302261 6.71515430 1.61724383 0.18142864 0.18142421 0.18143205 0.18142968 6.79369411 1.60963352 0.17985434 0.17984986 0.17985795 0.17985525 6.87223393 1.60209298 0.17830074 0.17829622 0.17830454 0.17830154 6.95077375 1.59465367 0.17677594 0.17677138 0.17677994 0.17677663 7.02931356 1.58732026 0.17528110 0.17527650 0.17528526 0.17528167 7.10785338 1.58008143 0.17381320 0.17380855 0.17381752 0.17381367 7.18639320 1.57293571 0.17237162 0.17236694 0.17237611 0.17237199 7.26493301 1.56585801 0.17094983 0.17094512 0.17095448 0.17095011 7.34347283 1.55882458 0.16954184 0.16953708 0.16954662 0.16954203 7.42201264 1.55184761 0.16815058 0.16814576 0.16815547 0.16815069 7.50055246 1.54495150 0.16678191 0.16677703 0.16678691 0.16678195 7.57909228 1.53815133 0.16543938 0.16543443 0.16544446 0.16543935 7.65763209 1.53144568 0.16412268 0.16411762 0.16412781 0.16412258 7.73617191 1.52482789 0.16283019 0.16282503 0.16283536 0.16283003 7.81471173 1.51829492 0.16156093 0.16155570 0.16156617 0.16156070 7.89325154 1.51183229 0.16031095 0.16030570 0.16031631 0.16031064 7.97179136 1.50543278 0.15907816 0.15907295 0.15908368 0.15907779 8.05033117 1.49910661 0.15786501 0.15785983 0.15787068 0.15786458 8.12887099 1.49286270 0.15667376 0.15666857 0.15667953 0.15667328 8.20741081 1.48669405 0.15550267 0.15549745 0.15550851 0.15550215 8.28595062 1.48059758 0.15435098 0.15434568 0.15435685 0.15435041 8.36449044 1.47457568 0.15321918 0.15321381 0.15322507 0.15321856 8.44303026 1.46860199 0.15210040 0.15209497 0.15210633 0.15209974 8.52157007 1.46264093 0.15098561 0.15098014 0.15099159 0.15098491 8.60010989 1.45669880 0.14987643 0.14987094 0.14988248 0.14987570 8.67864971 1.45080960 0.14878132 0.14877581 0.14878743 0.14878056 8.75718952 1.44500232 0.14770744 0.14770189 0.14771359 0.14770664 8.83572934 1.43928951 0.14665787 0.14665230 0.14666408 0.14665704 8.91426915 1.43365599 0.14562876 0.14562316 0.14563501 0.14562789 8.99280897 1.42808202 0.14461505 0.14460945 0.14462136 0.14461416 9.07134879 1.42255680 0.14361405 0.14360843 0.14362040 0.14361312 9.14988860 1.41706519 0.14262191 0.14261629 0.14262832 0.14262096 9.22842842 1.41160680 0.14163845 0.14163283 0.14164492 0.14163747 9.30696824 1.40619933 0.14066805 0.14066243 0.14067458 0.14066706 9.38550805 1.40084001 0.13971006 0.13970441 0.13971662 0.13970904 9.46404787 1.39551436 0.13876079 0.13875512 0.13876737 0.13875975 9.54258769 1.39023900 0.13782433 0.13781863 0.13783093 0.13782327 9.62112750 1.38504470 0.13690825 0.13690252 0.13691487 0.13690717 9.69966732 1.37993031 0.13601220 0.13600647 0.13601886 0.13601110 9.77820713 1.37486799 0.13512922 0.13512350 0.13513593 0.13512811 9.85674695 1.36984533 0.13425622 0.13425050 0.13426298 0.13425509 9.93528677 1.36486948 0.13339485 0.13338914 0.13340165 0.13339371 10.01382658 1.35993865 0.13254456 0.13253885 0.13255139 0.13254341 10.09236640 1.35504403 0.13170318 0.13169746 0.13171004 0.13170202 10.17090622 1.35018689 0.13087111 0.13086538 0.13087798 0.13086993 10.24944603 1.34537667 0.13005068 0.13004493 0.13005757 0.13004949 10.32798585 1.34062103 0.12924374 0.12923798 0.12925065 0.12924255 10.40652567 1.33592064 0.12845039 0.12844462 0.12845730 0.12844919 10.48506548 1.33126752 0.12766856 0.12766276 0.12767547 0.12766735 10.56360530 1.32664527 0.12689407 0.12688825 0.12690098 0.12689285 10.64214511 1.32204007 0.12612347 0.12611764 0.12613038 0.12612225 10.72068493 1.31745397 0.12535734 0.12535151 0.12536427 0.12535610 10.79922475 1.31289757 0.12459834 0.12459252 0.12460529 0.12459709 10.87776456 1.30837285 0.12384697 0.12384116 0.12385395 0.12384572 10.95630438 1.30387401 0.12310178 0.12309599 0.12310879 0.12310052 11.03484420 1.29940308 0.12236323 0.12235744 0.12237026 0.12236197 11.11338401 1.29497560 0.12163512 0.12162932 0.12164214 0.12163386 11.19192383 1.29060554 0.12092085 0.12091504 0.12092787 0.12091959 11.27046364 1.28628887 0.12021940 0.12021357 0.12022642 0.12021813 11.34900346 1.28201101 0.11952714 0.11952131 0.11953417 0.11952587 11.42754328 1.27776445 0.11884221 0.11883640 0.11884926 0.11884094 11.50608309 1.27354743 0.11816419 0.11815838 0.11817125 0.11816290 11.58462291 1.26935571 0.11749201 0.11748623 0.11749910 0.11749073 11.66316273 1.26518757 0.11682526 0.11681948 0.11683235 0.11682398 11.74170254 1.26104950 0.11616551 0.11615972 0.11617260 0.11616423 11.82024236 1.25694939 0.11551467 0.11550887 0.11552174 0.11551340 11.89878218 1.25288905 0.11487315 0.11486732 0.11488020 0.11487187 11.97732199 1.24886836 0.11424089 0.11423504 0.11424793 0.11423961 12.05586181 1.24489126 0.11361883 0.11361299 0.11362587 0.11361755 12.13440162 1.24095853 0.11300716 0.11300132 0.11301421 0.11300587 12.21294144 1.23705534 0.11240220 0.11239638 0.11240926 0.11240091 12.29148126 1.23315594 0.11179762 0.11179181 0.11180469 0.11179633 12.37002107 1.22924764 0.11119029 0.11118449 0.11119736 0.11118900 12.44856089 1.22534529 0.11058388 0.11057809 0.11059096 0.11058260 12.52710071 1.22147528 0.10998488 0.10997910 0.10999196 0.10998360 12.60564052 1.21764925 0.10939614 0.10939037 0.10940322 0.10939486 12.68418034 1.21385995 0.10881585 0.10881009 0.10882293 0.10881458 12.76272016 1.21009699 0.10824147 0.10823572 0.10824855 0.10824020 12.84125997 1.20635839 0.10767251 0.10766676 0.10767959 0.10767123 12.91979979 1.20264814 0.10710993 0.10710419 0.10711701 0.10710866 12.99833960 1.19896848 0.10655427 0.10654853 0.10656135 0.10655301 13.07687942 1.19531736 0.10600502 0.10599928 0.10601209 0.10600376 13.15541924 1.19169330 0.10546179 0.10545605 0.10546884 0.10546053 13.23395905 1.18810003 0.10492547 0.10491972 0.10493251 0.10492421 13.31249887 1.18454284 0.10439732 0.10439157 0.10440434 0.10439606 13.39103869 1.18102000 0.10387689 0.10387114 0.10388391 0.10387564 13.46957850 1.17752000 0.10336139 0.10335565 0.10336840 0.10336014 13.54811832 1.17402826 0.10284728 0.10284155 0.10285429 0.10284603 13.62665813 1.17053836 0.10233301 0.10232729 0.10234002 0.10233177 13.70519795 1.16705909 0.10182074 0.10181503 0.10182774 0.10181950 13.78373777 1.16361005 0.10131525 0.10130954 0.10132224 0.10131401 13.86227758 1.16020728 0.10082041 0.10081470 0.10082739 0.10081918 13.94081740 1.15685112 0.10033628 0.10033057 0.10034324 0.10033505 14.01935722 1.15352743 0.09985935 0.09985365 0.09986631 0.09985813 14.09789703 1.15021954 0.09938557 0.09937988 0.09939252 0.09938436 14.17643685 1.14691827 0.09891270 0.09890702 0.09891964 0.09891149 14.25497667 1.14362205 0.09844038 0.09843470 0.09844731 0.09843917 14.33351648 1.14033275 0.09796907 0.09796339 0.09797599 0.09796786 14.41205630 1.13705486 0.09749987 0.09749420 0.09750678 0.09749867 14.49059611 1.13379700 0.09703488 0.09702922 0.09704179 0.09703368 14.56913593 1.13057090 0.09657695 0.09657130 0.09658385 0.09657576 14.64767575 1.12738657 0.09612851 0.09612287 0.09613539 0.09612732 14.72621556 1.12424567 0.09568995 0.09568431 0.09569682 0.09568876 14.80475538 1.12113768 0.09525869 0.09525306 0.09526555 0.09525750 14.88329520 1.11804402 0.09483019 0.09482458 0.09483705 0.09482901 14.96183501 1.11494892 0.09440062 0.09439502 0.09440747 0.09439945 15.04037483 1.11184771 0.09396885 0.09396326 0.09397568 0.09396768 15.11891465 1.10874574 0.09353618 0.09353059 0.09354300 0.09353501 15.19745446 1.10565135 0.09310466 0.09309907 0.09311145 0.09310350 15.27599428 1.10257070 0.09267579 0.09267020 0.09268256 0.09267463 15.35453409 1.09950794 0.09225058 0.09224500 0.09225734 0.09224943 15.43307391 1.09646726 0.09183006 0.09182447 0.09183679 0.09182890 15.51161373 1.09345286 0.09141522 0.09140964 0.09142194 0.09141406 15.59015354 1.09046674 0.09100655 0.09100098 0.09101327 0.09100539 15.66869336 1.08750744 0.09060367 0.09059812 0.09061039 0.09060252 15.74723318 1.08457168 0.09020579 0.09020025 0.09021250 0.09020464 15.82577299 1.08165652 0.08981217 0.08980665 0.08981888 0.08981104 15.90431281 1.07875937 0.08942219 0.08941669 0.08942890 0.08942106 15.98285263 1.07587689 0.08903504 0.08902954 0.08904173 0.08903391 16.06139244 1.07300611 0.08864998 0.08864450 0.08865666 0.08864886 16.13993226 1.07014741 0.08826713 0.08826166 0.08827380 0.08826602 16.21847207 1.06730529 0.08788759 0.08788212 0.08789424 0.08788647 16.29701189 1.06448483 0.08751258 0.08750712 0.08751922 0.08751146 16.37555171 1.06168736 0.08714242 0.08713697 0.08714905 0.08714131 16.45409152 1.05890967 0.08677633 0.08677089 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