# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.05235988 3.56898222 0.79657167 0.79773731 0.79754744 0.79449668 0.15707963 3.67456320 0.79768339 0.79802327 0.79585797 0.79911515 0.26179939 3.47260538 0.73721965 0.73729590 0.73503979 0.73926945 0.36651914 3.28835369 0.68343269 0.68348608 0.68152844 0.68528040 0.47123890 3.14320896 0.63987472 0.63995188 0.63834076 0.64136878 0.57595865 3.02896844 0.60430974 0.60440102 0.60309391 0.60547374 0.68067841 2.93691202 0.57460700 0.57469080 0.57363221 0.57550410 0.78539816 2.86094421 0.54926974 0.54936850 0.54850517 0.54996077 0.89011792 2.79584765 0.52705451 0.52715267 0.52644344 0.52758952 0.99483767 2.73914342 0.50735664 0.50744431 0.50685607 0.50777484 1.09955743 2.68869144 0.48963309 0.48971292 0.48922023 0.48996349 1.20427718 2.64276709 0.47344284 0.47351765 0.47310120 0.47370723 1.30899694 2.60067690 0.45859951 0.45866811 0.45831326 0.45881318 1.41371669 2.56173002 0.44490299 0.44496493 0.44466006 0.44507828 1.51843645 2.52513666 0.43212715 0.43218591 0.43192217 0.43227272 1.62315620 2.49045273 0.42014850 0.42020280 0.41997320 0.42027090 1.72787596 2.45741676 0.40887562 0.40892406 0.40872318 0.40897971 1.83259571 2.42596213 0.39828121 0.39832481 0.39814817 0.39837078 1.93731547 2.39589439 0.38828010 0.38831939 0.38816323 0.38835798 2.04203522 2.36687113 0.37877145 0.37880537 0.37866686 0.37883979 2.14675498 2.33882195 0.36972327 0.36975332 0.36963011 0.36978369 2.25147474 2.31176268 0.36112150 0.36114900 0.36103922 0.36117524 2.35619449 2.28573999 0.35296107 0.35298396 0.35288585 0.35300932 2.46091425 2.26046674 0.34514932 0.34516975 0.34508187 0.34519289 2.56563400 2.23587178 0.33766068 0.33767898 0.33760012 0.33770024 2.67035376 2.21193827 0.33047857 0.33049382 0.33042300 0.33051465 2.77507351 2.18877233 0.32362147 0.32363488 0.32357124 0.32365444 2.87979327 2.16613796 0.31701495 0.31702808 0.31697091 0.31704512 2.98451302 2.14425170 0.31070795 0.31071977 0.31066839 0.31073565 3.08923278 2.12295395 0.30464843 0.30465867 0.30461245 0.30467394 3.19395253 2.10207231 0.29878517 0.29879360 0.29875210 0.29880869 3.29867229 2.08176274 0.29315137 0.29315787 0.29312065 0.29317307 3.40339204 2.06184458 0.28769120 0.28769613 0.28766281 0.28771129 3.50811180 2.04254318 0.28246104 0.28246540 0.28243561 0.28247964 3.61283155 2.02367999 0.27740821 0.27741190 0.27738530 0.27742544 3.71755131 2.00533151 0.27254889 0.27255196 0.27252828 0.27256487 3.82227106 1.98738634 0.26784871 0.26785156 0.26783057 0.26786348 3.92699082 1.96994053 0.26332803 0.26332969 0.26331118 0.26334171 4.03171057 1.95276868 0.25892142 0.25892223 0.25890597 0.25893408 4.13643033 1.93610540 0.25468924 0.25468950 0.25467533 0.25470096 4.24115008 1.91982883 0.25059484 0.25059472 0.25058243 0.25060570 4.34586984 1.90380794 0.24660278 0.24660249 0.24659196 0.24661283 4.45058959 1.88814498 0.24273697 0.24273665 0.24272773 0.24274626 4.55530935 1.87284936 0.23899784 0.23899704 0.23898962 0.23900643 4.66002910 1.85789224 0.23537426 0.23537299 0.23536695 0.23538220 4.76474886 1.84325950 0.23186058 0.23185929 0.23185451 0.23186791 4.86946861 1.82889097 0.22844043 0.22843893 0.22843534 0.22844718 4.97418837 1.81486042 0.22513070 0.22512886 0.22512637 0.22513691 5.07890812 1.80101715 0.22188962 0.22188747 0.22188600 0.22189533 5.18362788 1.78742993 0.21873485 0.21873233 0.21873182 0.21874010 5.28834763 1.77411324 0.21566799 0.21566500 0.21566539 0.21567281 5.39306739 1.76105494 0.21268416 0.21268095 0.21268216 0.21268857 5.49778714 1.74832951 0.20980169 0.20979856 0.20980053 0.20980571 5.60250690 1.73585586 0.20699823 0.20699515 0.20699782 0.20700189 5.70722665 1.72352109 0.20424406 0.20424084 0.20424418 0.20424738 5.81194641 1.71140398 0.20155909 0.20155574 0.20155971 0.20156210 5.91666616 1.69959542 0.19896606 0.19896258 0.19896713 0.19896878 6.02138592 1.68811657 0.19646847 0.19646483 0.19646992 0.19647092 6.12610567 1.67686633 0.19403847 0.19403467 0.19404026 0.19404066 6.23082543 1.66577470 0.19165768 0.19165373 0.19165978 0.19165963 6.33554518 1.65480545 0.18931657 0.18931253 0.18931902 0.18931830 6.44026494 1.64400121 0.18702594 0.18702181 0.18702871 0.18702747 6.54498469 1.63337630 0.18478914 0.18478490 0.18479218 0.18479048 6.64970445 1.62302516 0.18262932 0.18262493 0.18263258 0.18263048 6.75442421 1.61288637 0.18052955 0.18052499 0.18053297 0.18053055 6.85914396 1.60287845 0.17846870 0.17846393 0.17847222 0.17846954 6.96386372 1.59295816 0.17643642 0.17643151 0.17644011 0.17643711 7.06858347 1.58314068 0.17443563 0.17443066 0.17443956 0.17443618 7.17330323 1.57347368 0.17247771 0.17247273 0.17248189 0.17247813 7.27802298 1.56398314 0.17056915 0.17056413 0.17057354 0.17056944 7.38274274 1.55469484 0.16871605 0.16871097 0.16872062 0.16871623 7.48746249 1.54554978 0.16690301 0.16689787 0.16690774 0.16690309 7.59218225 1.53651564 0.16512160 0.16511645 0.16512653 0.16512157 7.69690200 1.52759386 0.16337169 0.16336649 0.16337677 0.16337156 7.80162176 1.51882170 0.16166241 0.16165715 0.16166761 0.16166219 7.90634151 1.51021013 0.15999669 0.15999141 0.16000205 0.15999640 8.01106127 1.50173330 0.15836765 0.15836233 0.15837314 0.15836727 8.11578102 1.49338079 0.15677212 0.15676677 0.15677773 0.15677166 8.22050078 1.48513139 0.15520480 0.15519946 0.15521056 0.15520427 8.32522053 1.47699336 0.15366744 0.15366207 0.15367332 0.15366685 8.42994029 1.46894124 0.15215326 0.15214784 0.15215921 0.15215261 8.53466004 1.46099057 0.15066600 0.15066055 0.15067203 0.15066531 8.63937980 1.45313735 0.14920485 0.14919937 0.14921097 0.14920410 8.74409955 1.44536101 0.14776464 0.14775917 0.14777087 0.14776385 8.84881931 1.43770649 0.14635616 0.14635069 0.14636248 0.14635532 8.95353906 1.43019917 0.14498558 0.14498008 0.14499198 0.14498470 9.05825882 1.42282362 0.14364898 0.14364345 0.14365544 0.14364807 9.16297857 1.41557797 0.14234544 0.14233991 0.14235198 0.14234450 9.26769833 1.40844665 0.14107086 0.14106536 0.14107750 0.14106989 9.37241808 1.40139072 0.13981555 0.13981007 0.13982227 0.13981455 9.47713784 1.39439080 0.13857468 0.13856918 0.13858145 0.13857365 9.58185759 1.38743854 0.13734601 0.13734047 0.13735279 0.13734497 9.68657735 1.38054086 0.13613126 0.13612563 0.13613800 0.13613019 9.79129710 1.37371501 0.13493476 0.13492907 0.13494150 0.13493368 9.89601686 1.36699012 0.13376361 0.13375789 0.13377037 0.13376250 10.00073661 1.36035441 0.13261460 0.13260886 0.13262138 0.13261347 10.10545637 1.35375789 0.13147527 0.13146951 0.13148208 0.13147412 10.21017612 1.34721832 0.13035016 0.13034440 0.13035701 0.13034900 10.31489588 1.34078781 0.12925201 0.12924623 0.12925888 0.12925083 10.41961563 1.33446799 0.12818094 0.12817515 0.12818783 0.12817975 10.52433539 1.32823942 0.12713220 0.12712641 0.12713912 0.12713100 10.62905514 1.32209071 0.12610297 0.12609720 0.12610994 0.12610175 10.73377490 1.31601495 0.12509133 0.12508559 0.12509835 0.12509010 10.83849465 1.30999416 0.12409267 0.12408694 0.12409972 0.12409143 10.94321441 1.30400360 0.12310096 0.12309522 0.12310802 0.12309972 11.04793417 1.29805817 0.12212003 0.12211427 0.12212709 0.12211878 11.15265392 1.29219443 0.12115888 0.12115312 0.12116595 0.12115763 11.25737368 1.28641288 0.12021750 0.12021173 0.12022458 0.12021625 11.36209343 1.28069625 0.11929148 0.11928569 0.11929855 0.11929021 11.46681319 1.27505308 0.11838281 0.11837702 0.11838989 0.11838155 11.57153294 1.26949734 0.11749492 0.11748915 0.11750203 0.11749364 11.67625270 1.26401770 0.11662497 0.11661923 0.11663212 0.11662369 11.78097245 1.25858212 0.11576500 0.11575928 0.11577217 0.11576372 11.88569221 1.25316451 0.11490863 0.11490291 0.11491580 0.11490735 11.99041196 1.24777558 0.11405850 0.11405277 0.11406565 0.11405723 12.09513172 1.24244146 0.11322094 0.11321519 0.11322807 0.11321967 12.19985147 1.23715725 0.11239467 0.11238892 0.11240179 0.11239341 12.30457123 1.23190304 0.11157491 0.11156916 0.11158202 0.11157365 12.40929098 1.22668909 0.11076424 0.11075849 0.11077134 0.11076298 12.51401074 1.22154466 0.10996974 0.10996399 0.10997684 0.10996847 12.61873049 1.21647893 0.10919354 0.10918780 0.10920065 0.10919228 12.72345025 1.21147328 0.10843101 0.10842527 0.10843811 0.10842975 12.82817000 1.20650170 0.10767570 0.10766997 0.10768280 0.10767445 12.93288976 1.20155293 0.10692490 0.10691917 0.10693198 0.10692364 13.03760951 1.19662976 0.10617934 0.10617360 0.10618640 0.10617809 13.14232927 1.19174346 0.10544182 0.10543606 0.10544885 0.10544057 13.24704902 1.18691067 0.10471635 0.10471058 0.10472335 0.10471511 13.35176878 1.18213722 0.10400433 0.10399854 0.10401130 0.10400308 13.45648853 1.17741849 0.10330458 0.10329879 0.10331155 0.10330334 13.56120829 1.17276117 0.10261874 0.10261296 0.10262570 0.10261749 13.66592804 1.16817486 0.10194910 0.10194336 0.10195608 0.10194786 13.77064780 1.16364322 0.10129163 0.10128592 0.10129862 0.10129040 13.87536755 1.15913077 0.10063762 0.10063193 0.10064460 0.10063639 13.98008731 1.15462192 0.09998328 0.09997760 0.09999025 0.09998206 14.08480706 1.15013407 0.09933288 0.09932720 0.09933984 0.09933166 14.18952682 1.14569681 0.09869363 0.09868797 0.09870058 0.09869242 14.29424657 1.14132603 0.09806941 0.09806376 0.09807635 0.09806821 14.39896633 1.13701042 0.09745743 0.09745178 0.09746435 0.09745624 14.50368608 1.13272496 0.09685156 0.09684592 0.09685847 0.09685037 14.60840584 1.12845684 0.09624865 0.09624303 0.09625555 0.09624746 14.71312559 1.12421402 0.09565067 0.09564505 0.09565755 0.09564948 14.81784535 1.12001181 0.09506135 0.09505574 0.09506822 0.09506017 14.92256510 1.11585495 0.09448186 0.09447626 0.09448871 0.09448068 15.02728486 1.11173372 0.09390980 0.09390420 0.09391663 0.09390863 15.13200461 1.10763261 0.09334136 0.09333577 0.09334817 0.09334020 15.23672437 1.10354402 0.09277469 0.09276910 0.09278147 0.09277353 15.34144413 1.09947624 0.09221180 0.09220622 0.09221857 0.09221065 15.44616388 1.09544139 0.09165564 0.09165007 0.09166240 0.09165450 15.55088364 1.09144059 0.09110648 0.09110091 0.09111321 0.09110534 15.65560339 1.08746885 0.09056311 0.09055754 0.09056981 0.09056197 15.76032315 1.08352707 0.09002576 0.09002018 0.09003242 0.09002463 15.86504290 1.07962107 0.08949582 0.08949023 0.08950245 0.08949469 15.96976266 1.07575284 0.08897377 0.08896818 0.08898037 0.08897264 16.07448241 1.07192070 0.08845917 0.08845359 0.08846576 0.08845805 16.17920217 1.06812694 0.08795262 0.08794706 0.08795920 0.08795150 16.28392192 1.06437723 0.08745550 0.08744996 0.08746208 0.08745438 16.38864168 1.06067159 0.08696779 0.08696228 0.08697437 0.08696668 16.49336143 1.05700066 0.08648719 0.08648170 0.08649376 0.08648608 16.59808119 1.05335166 0.08601057 0.08600510 0.08601713 0.08600947 16.70280094 1.04971599 0.08553586 0.08553041 0.08554241 0.08553476 16.80752070 1.04609139 0.08506253 0.08505710 0.08506907 0.08506143 16.91224045 1.04248041 0.08459120 0.08458580 0.08459774 0.08459011 17.01696021 1.03889053 0.08412371 0.08411833 0.08413024 0.08412262 17.12167996 1.03533382 0.08366297 0.08365761 0.08366949 0.08366189 17.22639972 1.03181876 0.08321103 0.08320569 0.08321753 0.08320996 17.33111947 1.02833863 0.08276624 0.08276091 0.08277272 0.08276517 17.43583923 1.02487450 0.08232400 0.08231869 0.08233047 0.08232294 17.54055898 1.02141362 0.08188124 0.08187593 0.08188768 0.08188018 17.64527874 1.01795922 0.08143874 0.08143345 0.08144517 0.08143770 17.74999849 1.01452255 0.08099925 0.08099397 0.08100565 0.08099821 17.85471825 1.01111243 0.08056490 0.08055962 0.08057128 0.08056387 17.95943800 1.00773256 0.08013658 0.08013131 0.08014293 0.08013555 18.06415776 1.00438357 0.07971444 0.07970917 0.07972076 0.07971341 18.16887751 1.00106573 0.07929853 0.07929327 0.07930483 0.07929751 18.27359727 0.99777947 0.07888897 0.07888371 0.07889524 0.07888794 18.37831702 0.99452380 0.07848550 0.07848025 0.07849176 0.07848447 18.48303678 0.99129638 0.07808756 0.07808233 0.07809381 0.07808654 18.58775653 0.98809526 0.07769470 0.07768948 0.07770093 0.07769368 18.69247629 0.98491941 0.07730665 0.07730145 0.07731286 0.07730564 18.79719604 0.98176736 0.07692307 0.07691788 0.07692926 0.07692206 18.90191580 0.97863642 0.07654329 0.07653811 0.07654947 0.07654229 19.00663555 0.97552434 0.07616679 0.07616162 0.07617295 0.07616579 19.11135531 0.97243127 0.07579360 0.07578845 0.07579975 0.07579260 19.21607506 0.96935868 0.07542407 0.07541895 0.07543021 0.07542308 19.32079482 0.96630674 0.07505826 0.07505316 0.07506439 0.07505728 19.42551457 0.96327407 0.07469583 0.07469075 0.07470195 0.07469485 19.53023433 0.96026053 0.07433674 0.07433169 0.07434285 0.07433578 19.63495408 0.95726854 0.07398159 0.07397655 0.07398769 0.07398063 19.73967384 0.95429909 0.07363061 0.07362559 0.07363669 0.07362966 19.84439360 0.95134642 0.07328241 0.07327740 0.07328847 0.07328146 19.94911335 0.94840022 0.07293451 0.07292952 0.07294055 0.07293357 20.05383311 0.94545593 0.07258583 0.07258084 0.07259184 0.07258489 20.15855286 0.94252042 0.07223801 0.07223303 0.07224401 0.07223708 20.26327262 0.93960507 0.07189380 0.07188884 0.07189978 0.07189287 20.36799237 0.93671483 0.07155440 0.07154945 0.07156036 0.07155348 20.47271213 0.93384669 0.07121907 0.07121413 0.07122501 0.07121816 20.57743188 0.93099671 0.07088688 0.07088195 0.07089280 0.07088597 20.68215164 0.92816504 0.07055785 0.07055293 0.07056375 0.07055695 20.78687139 0.92535384 0.07023252 0.07022762 0.07023841 0.07023163 20.89159115 0.92256289 0.06991085 0.06990595 0.06991671 0.06990995 20.99631090 0.91978851 0.06959194 0.06958706 0.06959779 0.06959105 21.10103066 0.91702620 0.06927472 0.06926986 0.06928055 0.06927384 21.20575041 0.91427392 0.06895870 0.06895385 0.06896451 0.06895782 21.31047017 0.91153337 0.06864429 0.06863945 0.06865007 0.06864342 21.41518992 0.90880916 0.06833261 0.06832777 0.06833837 0.06833174 21.51990968 0.90610711 0.06802505 0.06802021 0.06803078 0.06802418 21.62462943 0.90343195 0.06772275 0.06771792 0.06772846 0.06772188 21.72934919 0.90078471 0.06742595 0.06742114 0.06743165 0.06742509 21.83406894 0.89816192 0.06713384 0.06712904 0.06713953 0.06713298 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