# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.03926991 3.50471771 0.78700668 0.78825953 0.78907701 0.78407040 0.11780972 3.74217907 0.82030402 0.82098639 0.81916161 0.82090044 0.19634954 3.61200804 0.77768704 0.77792244 0.77561289 0.77954331 0.27488936 3.45193242 0.73108890 0.73114724 0.72890380 0.73314926 0.35342917 3.31104423 0.69016677 0.69015315 0.68814244 0.69206606 0.43196899 3.19433704 0.65551498 0.65549616 0.65375032 0.65715173 0.51050881 3.09732375 0.62590933 0.62591900 0.62442386 0.62727907 0.58904862 3.01617715 0.60042239 0.60046152 0.59918546 0.60155329 0.66758844 2.94715651 0.57813433 0.57819108 0.57710162 0.57906340 0.74612826 2.88735937 0.55835921 0.55841935 0.55748628 0.55912199 0.82466807 2.83457349 0.54054965 0.54062243 0.53982046 0.54117722 0.90320789 2.78771712 0.52445482 0.52452362 0.52383052 0.52497353 0.98174770 2.74519031 0.50967498 0.50974419 0.50914191 0.51010604 1.06028752 2.70624600 0.49602281 0.49609607 0.49556982 0.49638279 1.13882734 2.67038282 0.48336900 0.48344400 0.48298179 0.48367186 1.21736715 2.63697427 0.47155526 0.47162309 0.47121498 0.47181187 1.29590697 2.60547295 0.46043405 0.46049437 0.46013241 0.46065307 1.37444679 2.57578467 0.44996798 0.45002551 0.44970289 0.45015620 1.45298660 2.54745611 0.44003529 0.44008789 0.43979920 0.44019828 1.53152642 2.52048319 0.43063100 0.43068163 0.43042229 0.43077314 1.61006623 2.49453555 0.42165869 0.42170671 0.42147290 0.42178351 1.68860605 2.46973867 0.41314551 0.41319206 0.41298057 0.41325587 1.76714587 2.44560501 0.40494851 0.40499104 0.40479916 0.40504673 1.84568568 2.42230579 0.39711842 0.39715715 0.39698270 0.39720641 1.92422550 2.39969831 0.38960069 0.38963694 0.38947799 0.38967982 2.00276532 2.37774068 0.38237231 0.38240524 0.38226007 0.38244395 2.08130513 2.35636638 0.37541386 0.37544492 0.37531207 0.37547908 2.15984495 2.33556766 0.36871777 0.36874756 0.36862575 0.36877738 2.23838477 2.31538785 0.36229050 0.36231834 0.36220651 0.36234519 2.31692458 2.29561002 0.35606641 0.35609209 0.35598932 0.35611675 2.39546440 2.27630922 0.35006063 0.35008366 0.34998915 0.35010712 2.47400421 2.25755679 0.34428375 0.34430428 0.34421725 0.34432685 2.55254403 2.23914978 0.33867450 0.33869274 0.33861250 0.33871459 2.63108385 2.22109138 0.33323100 0.33324780 0.33317379 0.33326839 2.70962366 2.20349340 0.32798317 0.32799847 0.32793017 0.32801808 2.78816348 2.18625311 0.32289446 0.32290789 0.32284483 0.32292712 2.86670330 2.16937972 0.31796232 0.31797509 0.31791683 0.31799295 2.94524311 2.15276617 0.31315655 0.31316938 0.31311558 0.31318529 3.02378293 2.13649068 0.30849863 0.30851064 0.30846099 0.30852558 3.10232275 2.12065581 0.30400826 0.30401944 0.30397364 0.30403357 3.18086256 2.10501598 0.29961301 0.29962378 0.29958153 0.29963682 3.25940238 2.08962981 0.29533008 0.29533970 0.29530074 0.29535251 3.33794219 2.07462125 0.29119007 0.29119834 0.29116242 0.29121123 3.41648201 2.05992104 0.28716976 0.28717711 0.28714403 0.28718972 3.49502183 2.04548107 0.28325443 0.28326127 0.28323081 0.28327326 3.57356164 2.03126200 0.27943294 0.27943921 0.27941120 0.27945070 3.65210146 2.01735036 0.27572673 0.27573201 0.27570632 0.27574348 3.73064128 2.00364382 0.27210406 0.27210825 0.27208473 0.27211987 3.80918109 1.99017320 0.26857255 0.26857580 0.26855432 0.26858748 3.88772091 1.97698221 0.26514311 0.26514561 0.26512603 0.26515721 3.96626073 1.96403610 0.26180206 0.26180416 0.26178634 0.26181538 4.04480054 1.95128128 0.25853487 0.25853658 0.25852040 0.25854745 4.12334036 1.93875912 0.25535253 0.25535378 0.25533916 0.25536441 4.20188017 1.92642558 0.25224134 0.25224214 0.25222898 0.25225256 4.28041999 1.91429639 0.24920380 0.24920419 0.24919240 0.24921439 4.35895981 1.90233015 0.24622754 0.24622767 0.24621717 0.24623754 4.43749962 1.89057675 0.24332519 0.24332492 0.24331564 0.24333462 4.51603944 1.87901743 0.24049193 0.24049112 0.24048300 0.24050082 4.59457926 1.86764274 0.23772357 0.23772229 0.23771527 0.23773196 4.67311907 1.85647048 0.23502296 0.23502142 0.23501544 0.23503086 4.75165889 1.84546085 0.23237898 0.23237741 0.23237240 0.23238641 4.83019870 1.83462278 0.22979250 0.22979092 0.22978681 0.22979950 4.90873852 1.82391816 0.22725336 0.22725165 0.22724839 0.22725994 4.98727834 1.81335825 0.22476478 0.22476283 0.22476039 0.22477096 5.06581815 1.80301247 0.22234344 0.22234123 0.22233956 0.22234925 5.14435797 1.79288019 0.21998807 0.21998565 0.21998470 0.21999352 5.22289779 1.78289975 0.21768255 0.21767988 0.21767962 0.21768767 5.30143760 1.77304071 0.21541821 0.21541537 0.21541576 0.21542300 5.37997742 1.76329951 0.21319336 0.21319043 0.21319144 0.21319784 5.45851724 1.75371606 0.21101842 0.21101538 0.21101699 0.21102260 5.53705705 1.74433625 0.20890501 0.20890187 0.20890404 0.20890891 5.61559687 1.73513707 0.20684560 0.20684239 0.20684508 0.20684924 5.69413668 1.72603311 0.20481704 0.20481379 0.20481698 0.20482041 5.77267650 1.71697759 0.20280756 0.20280431 0.20280797 0.20281069 5.85121632 1.70800016 0.20082530 0.20082201 0.20082612 0.20082820 5.92975613 1.69913133 0.19887781 0.19887441 0.19887895 0.19888049 6.00829595 1.69038601 0.19696801 0.19696451 0.19696945 0.19697049 6.08683577 1.68177676 0.19509886 0.19509520 0.19510052 0.19510115 6.16537558 1.67328246 0.19326447 0.19326066 0.19326635 0.19326658 6.24391540 1.66489309 0.19146208 0.19145816 0.19146419 0.19146402 6.32245522 1.65664221 0.18970011 0.18969601 0.18970239 0.18970188 6.40099503 1.64854352 0.18798161 0.18797734 0.18798405 0.18798322 6.47953485 1.64055350 0.18629566 0.18629134 0.18629836 0.18629710 6.55807466 1.63262811 0.18463073 0.18462642 0.18463373 0.18463202 6.63661448 1.62478960 0.18299166 0.18298730 0.18299489 0.18299281 6.71515430 1.61704127 0.18137870 0.18137427 0.18138211 0.18137973 6.79369411 1.60936280 0.17978681 0.17978233 0.17979043 0.17978771 6.87223393 1.60179297 0.17822632 0.17822181 0.17823014 0.17822711 6.95077375 1.59435290 0.17670244 0.17669789 0.17670646 0.17670311 7.02931356 1.58701518 0.17520750 0.17520294 0.17521173 0.17520806 7.10785338 1.57978615 0.17374268 0.17373814 0.17374714 0.17374314 7.18639320 1.57265248 0.17230461 0.17230009 0.17230928 0.17230498 7.26493301 1.56558240 0.17088521 0.17088066 0.17089004 0.17088549 7.34347283 1.55858478 0.16948655 0.16948192 0.16949147 0.16948675 7.42201264 1.55167054 0.16811120 0.16810644 0.16811616 0.16811132 7.50055246 1.54483825 0.16675872 0.16675383 0.16676372 0.16675876 7.57909228 1.53810247 0.16543260 0.16542761 0.16543765 0.16543257 7.65763209 1.53146322 0.16413253 0.16412748 0.16413767 0.16413242 7.73617191 1.52488806 0.16285034 0.16284528 0.16285562 0.16285017 7.81471173 1.51834605 0.16157846 0.16157340 0.16158386 0.16157822 7.89325154 1.51184270 0.16031801 0.16031291 0.16032350 0.16031772 7.97179136 1.50539317 0.15907240 0.15906723 0.15907794 0.15907206 8.05033117 1.49901170 0.15784513 0.15783987 0.15785070 0.15784474 8.12887099 1.49271462 0.15664042 0.15663511 0.15664605 0.15663998 8.20741081 1.48650549 0.15545916 0.15545381 0.15546487 0.15545867 8.28595062 1.48037620 0.15429912 0.15429375 0.15430491 0.15429858 8.36449044 1.47432517 0.15315979 0.15315438 0.15316563 0.15315920 8.44303026 1.46835230 0.15204106 0.15203558 0.15204693 0.15204042 8.52157007 1.46245546 0.15094230 0.15093677 0.15094822 0.15094161 8.60010989 1.45662185 0.14986026 0.14985472 0.14986625 0.14985953 8.67864971 1.45082234 0.14878766 0.14878212 0.14879373 0.14878690 8.75718952 1.44505087 0.14772296 0.14771741 0.14772910 0.14772216 8.83572934 1.43933613 0.14667318 0.14666760 0.14667937 0.14667235 8.91426915 1.43369212 0.14564166 0.14563607 0.14564791 0.14564080 8.99280897 1.42810599 0.14462507 0.14461947 0.14463138 0.14462419 9.07134879 1.42257167 0.14362180 0.14361619 0.14362816 0.14362088 9.14988860 1.41709180 0.14263246 0.14262686 0.14263889 0.14263152 9.22842842 1.41166049 0.14165562 0.14165003 0.14166211 0.14165465 9.30696824 1.40626874 0.14068907 0.14068348 0.14069562 0.14068808 9.38550805 1.40091772 0.13973311 0.13972752 0.13973972 0.13973209 9.46404787 1.39561725 0.13879012 0.13878452 0.13879677 0.13878908 9.54258769 1.39036994 0.13786061 0.13785501 0.13786731 0.13785956 9.62112750 1.38516482 0.13694173 0.13693611 0.13694845 0.13694065 9.69966732 1.37999716 0.13603223 0.13602661 0.13603899 0.13603114 9.77820713 1.37488469 0.13513661 0.13513098 0.13514340 0.13513551 9.85674695 1.36984682 0.13425974 0.13425411 0.13426657 0.13425862 9.93528677 1.36488121 0.13340095 0.13339531 0.13340782 0.13339981 10.01382658 1.35997749 0.13255750 0.13255187 0.13256441 0.13255635 10.09236640 1.35513195 0.13172840 0.13172276 0.13173533 0.13172724 10.17090622 1.35032802 0.13090948 0.13090383 0.13091643 0.13090831 10.24944603 1.34553350 0.13009273 0.13008707 0.13009968 0.13009155 10.32798585 1.34074328 0.12927692 0.12927123 0.12928386 0.12927573 10.40652567 1.33599062 0.12847030 0.12846459 0.12847725 0.12846910 10.48506548 1.33130219 0.12767947 0.12767374 0.12768642 0.12767827 10.56360530 1.32667413 0.12690346 0.12689771 0.12691042 0.12690225 10.64214511 1.32208831 0.12613776 0.12613199 0.12614472 0.12613654 10.72068493 1.31752701 0.12537795 0.12537216 0.12538490 0.12537672 10.79922475 1.31298242 0.12462204 0.12461623 0.12462899 0.12462080 10.87776456 1.30846229 0.12387189 0.12386609 0.12387887 0.12387065 10.95630438 1.30397510 0.12312960 0.12312381 0.12313659 0.12312835 11.03484420 1.29951611 0.12239398 0.12238819 0.12240098 0.12239273 11.11338401 1.29507973 0.12166366 0.12165786 0.12167067 0.12166241 11.19192383 1.29067516 0.12094092 0.12093510 0.12094792 0.12093966 11.27046364 1.28631848 0.12022966 0.12022383 0.12023666 0.12022841 11.34900346 1.28201320 0.11953073 0.11952489 0.11953773 0.11952948 11.42754328 1.27774665 0.11884100 0.11883514 0.11884799 0.11883974 11.50608309 1.27350749 0.11815766 0.11815179 0.11816465 0.11815639 11.58462291 1.26929974 0.11748166 0.11747579 0.11748866 0.11748039 11.66316273 1.26513491 0.11681578 0.11680992 0.11682280 0.11681451 11.74170254 1.26101678 0.11616089 0.11615506 0.11616793 0.11615962 11.82024236 1.25693783 0.11551512 0.11550931 0.11552219 0.11551385 11.89878218 1.25288678 0.11487572 0.11486992 0.11488280 0.11487444 11.97732199 1.24885802 0.11424130 0.11423552 0.11424839 0.11424003 12.05586181 1.24485389 0.11361247 0.11360668 0.11361955 0.11361120 12.13440162 1.24087875 0.11299028 0.11298448 0.11299735 0.11298901 12.21294144 1.23693265 0.11237472 0.11236892 0.11238178 0.11237345 12.29148126 1.23300964 0.11176432 0.11175852 0.11177137 0.11176305 12.37002107 1.22910169 0.11115711 0.11115131 0.11116416 0.11115584 12.44856089 1.22520777 0.11055285 0.11054704 0.11055988 0.11055158 12.52710071 1.22134018 0.10995453 0.10994872 0.10996157 0.10995326 12.60564052 1.21751671 0.10936651 0.10936071 0.10937355 0.10936524 12.68418034 1.21374435 0.10879047 0.10878468 0.10879752 0.10878920 12.76272016 1.21001466 0.10822431 0.10821852 0.10823136 0.10822304 12.84125997 1.20631532 0.10766497 0.10765919 0.10767202 0.10766370 12.91979979 1.20264166 0.10711131 0.10710553 0.10711836 0.10711004 12.99833960 1.19899632 0.10656401 0.10655823 0.10657105 0.10656274 13.07687942 1.19538071 0.10602340 0.10601763 0.10603044 0.10602213 13.15541924 1.19178795 0.10548778 0.10548202 0.10549481 0.10548651 13.23395905 1.18820592 0.10495413 0.10494839 0.10496118 0.10495287 13.31249887 1.18462804 0.10442084 0.10441512 0.10442789 0.10441958 13.39103869 1.18105865 0.10388899 0.10388328 0.10389604 0.10388773 13.46957850 1.17750912 0.10336140 0.10335570 0.10336844 0.10336015 13.54811832 1.17399235 0.10284123 0.10283554 0.10284827 0.10283999 13.62665813 1.17051814 0.10233088 0.10232518 0.10233790 0.10232964 13.70519795 1.16708772 0.10183057 0.10182487 0.10183758 0.10182934 13.78373777 1.16369201 0.10133807 0.10133236 0.10134505 0.10133684 13.86227758 1.16031725 0.10084997 0.10084427 0.10085694 0.10084875 13.94081740 1.15695201 0.10036350 0.10035780 0.10037046 0.10036229 14.01935722 1.15358978 0.09987709 0.09987139 0.09988403 0.09987587 14.09789703 1.15022939 0.09939044 0.09938475 0.09939738 0.09938922 14.17643685 1.14687539 0.09890467 0.09889899 0.09891160 0.09890346 14.25497667 1.14353664 0.09842196 0.09841629 0.09842888 0.09842075 14.33351648 1.14022286 0.09794467 0.09793901 0.09795159 0.09794347 14.41205630 1.13694101 0.09747452 0.09746885 0.09748142 0.09747331 14.49059611 1.13369257 0.09701183 0.09700617 0.09701872 0.09701063 14.56913593 1.13047329 0.09655557 0.09654991 0.09656244 0.09655437 14.64767575 1.12727738 0.09610430 0.09609865 0.09611116 0.09610311 14.72621556 1.12410289 0.09565755 0.09565190 0.09566440 0.09565636 14.80475538 1.12095146 0.09521570 0.09521006 0.09522254 0.09521452 14.88329520 1.11782270 0.09477868 0.09477304 0.09478550 0.09477750 14.96183501 1.11471152 0.09434523 0.09433960 0.09435204 0.09434405 15.04037483 1.11161305 0.09391417 0.09390856 0.09392098 0.09391299 15.11891465 1.10852876 0.09348587 0.09348027 0.09349268 0.09348470 15.19745446 1.10546545 0.09306198 0.09305640 0.09306879 0.09306081 15.27599428 1.10242879 0.09264387 0.09263830 0.09265067 0.09264270 15.35453409 1.09941892 0.09223156 0.09222600 0.09223836 0.09223039 15.43307391 1.09643158 0.09182402 0.09181847 0.09183080 0.09182285 15.51161373 1.09346130 0.09141991 0.09141437 0.09142668 0.09141875 15.59015354 1.09050416 0.09101828 0.09101274 0.09102503 0.09101712 15.66869336 1.08755940 0.09061892 0.09061338 0.09062566 0.09061777 15.74723318 1.08462963 0.09022246 0.09021693 0.09022918 0.09022131 15.82577299 1.08171898 0.08982990 0.08982438 0.08983661 0.08982876 15.90431281 1.07883014 0.08944189 0.08943638 0.08944860 0.08944076 15.98285263 1.07596170 0.08905812 0.08905262 0.08906481 0.08905699 16.06139244 1.07310737 0.08867705 0.08867156 0.08868372 0.08867592 16.13993226 1.07025804 0.08829647 0.08829099 0.08830313 0.08829535 16.21847207 1.06740655 0.08791465 0.08790917 0.08792129 0.08791353 16.29701189 1.06455249 0.08753147 0.08752600 0.08753810 0.08753036 16.37555171 1.06170352 0.08714881 0.08714334 0.08715541 0.08714770 16.45409152 1.05887161 0.08676955 0.08676409 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