# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.03926991 3.51113550 0.78851628 0.78973912 0.79057456 0.78557087 0.11780972 3.74317962 0.82052851 0.82116753 0.81933568 0.82112715 0.19634954 3.61187091 0.77764915 0.77784897 0.77553605 0.77950658 0.27488936 3.45192637 0.73107077 0.73116356 0.72891886 0.73313040 0.35342917 3.31219566 0.69041649 0.69042222 0.68841046 0.69231576 0.43196899 3.19462392 0.65553791 0.65556282 0.65381567 0.65717397 0.51050881 3.09715999 0.62584245 0.62587043 0.62437480 0.62721139 0.58904862 3.01577258 0.60029836 0.60034166 0.59906648 0.60142939 0.66758844 2.94655758 0.57797289 0.57802354 0.57693520 0.57890124 0.74612826 2.88666120 0.55817563 0.55823176 0.55730003 0.55893766 0.82466807 2.83441561 0.54050413 0.54057657 0.53977505 0.54113140 0.90320789 2.78786646 0.52448384 0.52456443 0.52387171 0.52500278 0.98174770 2.74523439 0.50967417 0.50975039 0.50914872 0.51010521 1.06028752 2.70635692 0.49604378 0.49611336 0.49558751 0.49640404 1.13882734 2.67039290 0.48336195 0.48343667 0.48297477 0.48366485 1.21736715 2.63686965 0.47152533 0.47158869 0.47118099 0.47178192 1.29590697 2.60547685 0.46042515 0.46048046 0.46011869 0.46064450 1.37444679 2.57560708 0.44991368 0.44996893 0.44964659 0.45010224 1.45298660 2.54730779 0.43998823 0.44004371 0.43975518 0.44015135 1.53152642 2.52042190 0.43060767 0.43066037 0.43040103 0.43074994 1.61006623 2.49454844 0.42165400 0.42170169 0.42146776 0.42177899 1.68860605 2.46948667 0.41306536 0.41311093 0.41289937 0.41317582 1.76714587 2.44535582 0.40487493 0.40491755 0.40472579 0.40497315 1.84568568 2.42200408 0.39702596 0.39706537 0.39689101 0.39711390 1.92422550 2.39936715 0.38949816 0.38953674 0.38937792 0.38957733 2.00276532 2.37736649 0.38225914 0.38229870 0.38215372 0.38233067 2.08130513 2.35604281 0.37531881 0.37535388 0.37522120 0.37538390 2.15984495 2.33529500 0.36864443 0.36867319 0.36855155 0.36870395 2.23838477 2.31507563 0.36220972 0.36223520 0.36212357 0.36226442 2.31692458 2.29534333 0.35599748 0.35602200 0.35591941 0.35604785 2.39546440 2.27608671 0.35000162 0.35002285 0.34992842 0.35004815 2.47400421 2.25724829 0.34419932 0.34421856 0.34413158 0.34424250 2.55254403 2.23885632 0.33859588 0.33861538 0.33853524 0.33863600 2.63108385 2.22078814 0.33315237 0.33317148 0.33309761 0.33318972 2.70962366 2.20314120 0.32788991 0.32790897 0.32784079 0.32792475 2.78816348 2.18588742 0.32280197 0.32281827 0.32275535 0.32283454 2.86670330 2.16902007 0.31787202 0.31788576 0.31782768 0.31790253 2.94524311 2.15249052 0.31308586 0.31309849 0.31304483 0.31311450 3.02378293 2.13623006 0.30842573 0.30843765 0.30838810 0.30845266 3.10232275 2.12034180 0.30391743 0.30392843 0.30388267 0.30394278 3.18086256 2.10470534 0.29952590 0.29953555 0.29949333 0.29954976 3.25940238 2.08937234 0.29526014 0.29526870 0.29522980 0.29528258 3.33794219 2.07438352 0.29112564 0.29113281 0.29109697 0.29114678 3.41648201 2.05966016 0.28709893 0.28710449 0.28707146 0.28711891 3.49502183 2.04520638 0.28318116 0.28318629 0.28315590 0.28320002 3.57356164 2.03096986 0.27935642 0.27936091 0.27933302 0.27937420 3.65210146 2.01709086 0.27565670 0.27565990 0.27563432 0.27567350 3.73064128 2.00339220 0.27203627 0.27203870 0.27201529 0.27205215 3.80918109 1.98986619 0.26849094 0.26849359 0.26847220 0.26850594 3.88772091 1.97670645 0.26506812 0.26507116 0.26505164 0.26508226 3.96626073 1.96377491 0.26173083 0.26173367 0.26171590 0.26174417 4.04480054 1.95101309 0.25846459 0.25846693 0.25845082 0.25847717 4.12334036 1.93836777 0.25525268 0.25525443 0.25523988 0.25526456 4.20188017 1.92597756 0.25212879 0.25212988 0.25211681 0.25214000 4.28041999 1.91387288 0.24909863 0.24909939 0.24908768 0.24910922 4.35895981 1.90204480 0.24615870 0.24615926 0.24614883 0.24616869 4.43749962 1.89039824 0.24328503 0.24328550 0.24327629 0.24329445 4.51603944 1.87887889 0.24046280 0.24046289 0.24045483 0.24047169 4.59457926 1.86750869 0.23769462 0.23769439 0.23768740 0.23770300 4.67311907 1.85633316 0.23499179 0.23499131 0.23498534 0.23499968 4.75165889 1.84532120 0.23234543 0.23234474 0.23233973 0.23235285 4.83019870 1.83447155 0.22975527 0.22975436 0.22975026 0.22976225 4.90873852 1.82384575 0.22723798 0.22723677 0.22723353 0.22724454 4.98727834 1.81337146 0.22477225 0.22477074 0.22476832 0.22477841 5.06581815 1.80297954 0.22233850 0.22233662 0.22233497 0.22234429 5.14435797 1.79270014 0.21994481 0.21994271 0.21994180 0.21995024 5.22289779 1.78262965 0.21761606 0.21761392 0.21761371 0.21762115 5.30143760 1.77283219 0.21536760 0.21536530 0.21536574 0.21537237 5.37997742 1.76326013 0.21318607 0.21318352 0.21318456 0.21319054 5.45851724 1.75376977 0.21103388 0.21103109 0.21103270 0.21103805 5.53705705 1.74428684 0.20889195 0.20888892 0.20889108 0.20889585 5.61559687 1.73488705 0.20677986 0.20677659 0.20677928 0.20678351 5.69413668 1.72565147 0.20471797 0.20471458 0.20471778 0.20472137 5.77267650 1.71654987 0.20269815 0.20269465 0.20269833 0.20270130 5.85121632 1.70759456 0.20072263 0.20071900 0.20072314 0.20072556 5.92975613 1.69883492 0.19880328 0.19879953 0.19880410 0.19880599 6.00829595 1.69020468 0.19692347 0.19691964 0.19692463 0.19692596 6.08683577 1.68164753 0.19506840 0.19506453 0.19506991 0.19507069 6.16537558 1.67319368 0.19324475 0.19324081 0.19324656 0.19324685 6.24391540 1.66486259 0.19145731 0.19145325 0.19145935 0.19145923 6.32245522 1.65665920 0.18970729 0.18970319 0.18970962 0.18970905 6.40099503 1.64857000 0.18799117 0.18798712 0.18799387 0.18799276 6.47953485 1.64056916 0.18630197 0.18629798 0.18630502 0.18630340 6.55807466 1.63268167 0.18464587 0.18464184 0.18464917 0.18464716 6.63661448 1.62493337 0.18302936 0.18302522 0.18303281 0.18303051 6.71515430 1.61726837 0.18143736 0.18143309 0.18144094 0.18143839 6.79369411 1.60967631 0.17986686 0.17986245 0.17987054 0.17986776 6.87223393 1.60213612 0.17831283 0.17830827 0.17831660 0.17831361 6.95077375 1.59462699 0.17677021 0.17676560 0.17677415 0.17677088 7.02931356 1.58720556 0.17525336 0.17524876 0.17525753 0.17525391 7.10785338 1.57990174 0.17376951 0.17376492 0.17377390 0.17376995 7.18639320 1.57267885 0.17230871 0.17230410 0.17231328 0.17230906 7.26493301 1.56550894 0.17086368 0.17085899 0.17086835 0.17086395 7.34347283 1.55842416 0.16944290 0.16943808 0.16944763 0.16944308 7.42201264 1.55145553 0.16805416 0.16804925 0.16805898 0.16805426 7.50055246 1.54459179 0.16669427 0.16668932 0.16669922 0.16669429 7.57909228 1.53783494 0.16536352 0.16535854 0.16536860 0.16536347 7.65763209 1.53119166 0.16406320 0.16405818 0.16406840 0.16406308 7.73617191 1.52463265 0.16278548 0.16278041 0.16279078 0.16278529 7.81471173 1.51814133 0.16152630 0.16152116 0.16153166 0.16152604 7.89325154 1.51173995 0.16029148 0.16028631 0.16029695 0.16029116 7.97179136 1.50541708 0.15907790 0.15907276 0.15908351 0.15907752 8.05033117 1.49912572 0.15787345 0.15786835 0.15787921 0.15787301 8.12887099 1.49285605 0.15667568 0.15667058 0.15668156 0.15667518 8.20741081 1.48665239 0.15549583 0.15549070 0.15550178 0.15549529 8.28595062 1.48054666 0.15434190 0.15433672 0.15434790 0.15434132 8.36449044 1.47452305 0.15320972 0.15320451 0.15321579 0.15320909 8.44303026 1.46854636 0.15209022 0.15208497 0.15209634 0.15208955 8.52157007 1.46260760 0.15098100 0.15097567 0.15098712 0.15098029 8.60010989 1.45672843 0.14988742 0.14988201 0.14989355 0.14988668 8.67864971 1.45090517 0.14880862 0.14880315 0.14881477 0.14880784 8.75718952 1.44509939 0.14773495 0.14772946 0.14774116 0.14773414 8.83572934 1.43929801 0.14666308 0.14665760 0.14666937 0.14666223 8.91426915 1.43354661 0.14560433 0.14559885 0.14561070 0.14560347 8.99280897 1.42789629 0.14457149 0.14456596 0.14457787 0.14457060 9.07134879 1.42235107 0.14356550 0.14355991 0.14357189 0.14356458 9.14988860 1.41689182 0.14258155 0.14257594 0.14258798 0.14258061 9.22842842 1.41150198 0.14161544 0.14160982 0.14162193 0.14161447 9.30696824 1.40615334 0.14065990 0.14065427 0.14066644 0.14065890 9.38550805 1.40080618 0.13970480 0.13969917 0.13971138 0.13970378 9.46404787 1.39545709 0.13874936 0.13874372 0.13875599 0.13874832 9.54258769 1.39014794 0.13780424 0.13779860 0.13781092 0.13780317 9.62112750 1.38492769 0.13688169 0.13687606 0.13688843 0.13688060 9.69966732 1.37982783 0.13598944 0.13598383 0.13599624 0.13598834 9.77820713 1.37483410 0.13512373 0.13511810 0.13513056 0.13512262 9.85674695 1.36988838 0.13426989 0.13426423 0.13427673 0.13426878 9.93528677 1.36494785 0.13341727 0.13341157 0.13342409 0.13341614 10.01382658 1.36002005 0.13256776 0.13256203 0.13257458 0.13256661 10.09236640 1.35512596 0.13172655 0.13172079 0.13173338 0.13172539 10.17090622 1.35026054 0.13089235 0.13088660 0.13089921 0.13089118 10.24944603 1.34541565 0.13006317 0.13005743 0.13007007 0.13006198 10.32798585 1.34061192 0.12924421 0.12923849 0.12925115 0.12924301 10.40652567 1.33587687 0.12844229 0.12843655 0.12844924 0.12844108 10.48506548 1.33121183 0.12765758 0.12765182 0.12766453 0.12765637 10.56360530 1.32660183 0.12688618 0.12688038 0.12689311 0.12688496 10.64214511 1.32203066 0.12612400 0.12611817 0.12613092 0.12612277 10.72068493 1.31747871 0.12536626 0.12536044 0.12537321 0.12536503 10.79922475 1.31293766 0.12461105 0.12460524 0.12461803 0.12460980 10.87776456 1.30842382 0.12386243 0.12385663 0.12386943 0.12386117 10.95630438 1.30395828 0.12312552 0.12311972 0.12313253 0.12312426 11.03484420 1.29954385 0.12240090 0.12239509 0.12240791 0.12239964 11.11338401 1.29516933 0.12168574 0.12167993 0.12169277 0.12168448 11.19192383 1.29082607 0.12097788 0.12097209 0.12098493 0.12097661 11.27046364 1.28650951 0.12027617 0.12027041 0.12028325 0.12027489 11.34900346 1.28220467 0.11957692 0.11957119 0.11958403 0.11957564 11.42754328 1.27788705 0.11887420 0.11886848 0.11888133 0.11887292 11.50608309 1.27355513 0.11816774 0.11816202 0.11817487 0.11816646 11.58462291 1.26924939 0.11746753 0.11746179 0.11747465 0.11746624 11.66316273 1.26501853 0.11678546 0.11677970 0.11679257 0.11678417 11.74170254 1.26087222 0.11612380 0.11611804 0.11613091 0.11612252 11.82024236 1.25678134 0.11547530 0.11546953 0.11548241 0.11547402 11.89878218 1.25271815 0.11483307 0.11482731 0.11484018 0.11483180 11.97732199 1.24868048 0.11419659 0.11419082 0.11420370 0.11419531 12.05586181 1.24467872 0.11356842 0.11356266 0.11357554 0.11356714 12.13440162 1.24071502 0.11294913 0.11294338 0.11295626 0.11294784 12.21294144 1.23678173 0.11233683 0.11233109 0.11234397 0.11233555 12.29148126 1.23287352 0.11173020 0.11172446 0.11173734 0.11172891 12.37002107 1.22899254 0.11112972 0.11112398 0.11113686 0.11112843 12.44856089 1.22514134 0.11053603 0.11053028 0.11054316 0.11053474 12.52710071 1.22131719 0.10994844 0.10994269 0.10995556 0.10994715 12.60564052 1.21751709 0.10936621 0.10936047 0.10937334 0.10936493 12.68418034 1.21374523 0.10879035 0.10878461 0.10879748 0.10878907 12.76272016 1.21000712 0.10822217 0.10821645 0.10822931 0.10822090 12.84125997 1.20629702 0.10766023 0.10765452 0.10766737 0.10765896 12.91979979 1.20260082 0.10710104 0.10709533 0.10710817 0.10709978 12.99833960 1.19891228 0.10654308 0.10653736 0.10655020 0.10654182 13.07687942 1.19523976 0.10598842 0.10598270 0.10599552 0.10598717 13.15541924 1.19159661 0.10544036 0.10543463 0.10544744 0.10543911 13.23395905 1.18799046 0.10490077 0.10489503 0.10490783 0.10489952 13.31249887 1.18442212 0.10436982 0.10436408 0.10437687 0.10436857 13.39103869 1.18088851 0.10384673 0.10384100 0.10385378 0.10384549 13.46957850 1.17738385 0.10333008 0.10332435 0.10333711 0.10332883 13.54811832 1.17390127 0.10281818 0.10281246 0.10282520 0.10281694 13.62665813 1.17043613 0.10230991 0.10230419 0.10231692 0.10230868 13.70519795 1.16698758 0.10180506 0.10179935 0.10181206 0.10180383 13.78373777 1.16355865 0.10130437 0.10129865 0.10131136 0.10130313 13.86227758 1.16015497 0.10080920 0.10080350 0.10081618 0.10080797 13.94081740 1.15678005 0.10032042 0.10031472 0.10032739 0.10031920 14.01935722 1.15343051 0.09983720 0.09983150 0.09984415 0.09983598 14.09789703 1.15009825 0.09935753 0.09935182 0.09936446 0.09935631 14.17643685 1.14677825 0.09888015 0.09887444 0.09888706 0.09887894 14.25497667 1.14347329 0.09840573 0.09840003 0.09841264 0.09840452 14.33351648 1.14019086 0.09793612 0.09793042 0.09794301 0.09793491 14.41205630 1.13693575 0.09747248 0.09746679 0.09747937 0.09747127 14.49059611 1.13370540 0.09701419 0.09700853 0.09702109 0.09701298 14.56913593 1.13049196 0.09655934 0.09655370 0.09656624 0.09655814 14.64767575 1.12729112 0.09610686 0.09610124 0.09611376 0.09610566 14.72621556 1.12411020 0.09565851 0.09565292 0.09566542 0.09565731 14.80475538 1.12096457 0.09521805 0.09521248 0.09522496 0.09521686 14.88329520 1.11786182 0.09478732 0.09478177 0.09479423 0.09478614 14.96183501 1.11478994 0.09436341 0.09435786 0.09437030 0.09436224 15.04037483 1.11172366 0.09394016 0.09393461 0.09394703 0.09393899 15.11891465 1.10864283 0.09351266 0.09350710 0.09351950 0.09351148 15.19745446 1.10554459 0.09308020 0.09307464 0.09308702 0.09307903 15.27599428 1.10244076 0.09264567 0.09264012 0.09265247 0.09264450 15.35453409 1.09934813 0.09221317 0.09220761 0.09221995 0.09221200 15.43307391 1.09628234 0.09178651 0.09178096 0.09179327 0.09178534 15.51161373 1.09325664 0.09136892 0.09136337 0.09137567 0.09136775 15.59015354 1.09027973 0.09096249 0.09095695 0.09096924 0.09096133 15.66869336 1.08735070 0.09056701 0.09056147 0.09057375 0.09056584 15.74723318 1.08445617 0.09017917 0.09017365 0.09018591 0.09017801 15.82577299 1.08157459 0.08979375 0.08978824 0.08980048 0.08979258 15.90431281 1.07868686 0.08940608 0.08940059 0.08941281 0.08940492 15.98285263 1.07578624 0.08901454 0.08900906 0.08902126 0.08901339 16.06139244 1.07288061 0.08862106 0.08861559 0.08862776 0.08861991 16.13993226 1.06998641 0.08822962 0.08822415 0.08823631 0.08822847 16.21847207 1.06711900 0.08784395 0.08783850 0.08785064 0.08784281 16.29701189 1.06428644 0.08746601 0.08746057 0.08747269 0.08746488 16.37555171 1.06148847 0.08709573 0.08709030 0.08710240 0.08709460 16.45409152 1.05871906 0.08673164 0.08672622 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