# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.05235988 3.56844846 0.79658977 0.79761703 0.79745356 0.79450954 0.15707963 3.67535244 0.79793592 0.79817842 0.79601531 0.79936476 0.26179939 3.47308981 0.73737962 0.73739675 0.73514037 0.73943088 0.36651914 3.28784483 0.68336227 0.68334816 0.68139128 0.68521224 0.47123890 3.14300573 0.63987814 0.63991621 0.63830395 0.64137310 0.57595865 3.02901754 0.60437346 0.60442082 0.60311367 0.60553848 0.68067841 2.93725849 0.57472712 0.57478484 0.57372556 0.57562485 0.78539816 2.86101359 0.54931705 0.54938910 0.54852590 0.55000858 0.89011792 2.79618068 0.52716927 0.52725081 0.52654140 0.52770475 0.99483767 2.73965905 0.50751886 0.50759846 0.50700968 0.50793736 1.09955743 2.68912384 0.48977142 0.48984487 0.48935193 0.49010196 1.20427718 2.64337937 0.47362388 0.47369026 0.47327367 0.47388820 1.30899694 2.60129708 0.45877024 0.45883761 0.45848239 0.45898445 1.41371669 2.56202391 0.44497872 0.44504228 0.44473731 0.44515425 1.51843645 2.52530639 0.43217882 0.43223591 0.43197220 0.43232444 1.62315620 2.49068716 0.42021754 0.42026897 0.42003948 0.42033993 1.72787596 2.45774389 0.40896720 0.40901253 0.40881153 0.40907134 1.83259571 2.42634300 0.39838036 0.39841897 0.39824207 0.39847006 1.93731547 2.39621564 0.38836424 0.38840178 0.38824553 0.38844215 2.04203522 2.36727761 0.37887734 0.37890914 0.37877061 0.37894578 2.14675498 2.33920432 0.36982004 0.36984712 0.36972386 0.36988068 2.25147474 2.31212569 0.36121024 0.36123625 0.36112635 0.36126424 2.35619449 2.28596514 0.35301213 0.35303609 0.35293789 0.35306053 2.46091425 2.26072506 0.34521489 0.34523581 0.34514788 0.34525858 2.56563400 2.23609842 0.33771778 0.33773711 0.33765825 0.33775738 2.67035376 2.21212938 0.33052526 0.33054323 0.33047240 0.33056132 2.77507351 2.18893792 0.32366005 0.32367650 0.32361284 0.32369297 2.87979327 2.16639927 0.31708012 0.31709376 0.31703655 0.31711030 2.98451302 2.14443675 0.31075471 0.31076645 0.31071503 0.31078243 3.08923278 2.12302622 0.30466811 0.30467713 0.30463092 0.30469365 3.19395253 2.10215187 0.29880660 0.29881353 0.29877204 0.29883019 3.29867229 2.08187933 0.29318213 0.29318788 0.29315065 0.29320391 3.40339204 2.06207570 0.28775084 0.28775650 0.28772312 0.28777099 3.50811180 2.04274867 0.28251295 0.28251846 0.28248858 0.28253159 3.61283155 2.02395051 0.27747887 0.27748335 0.27745671 0.27749611 3.71755131 2.00551353 0.27259532 0.27259897 0.27257526 0.27261129 3.82227106 1.98749404 0.26787470 0.26787747 0.26785646 0.26788949 3.92699082 1.96994539 0.26332626 0.26332825 0.26330970 0.26333997 4.03171057 1.95280185 0.25892662 0.25892823 0.25891195 0.25893929 4.13643033 1.93605647 0.25467167 0.25467314 0.25465893 0.25468340 4.24115008 1.91974611 0.25056947 0.25057030 0.25055799 0.25058033 4.34586984 1.90370457 0.24657276 0.24657340 0.24656284 0.24658280 4.45058959 1.88799934 0.24269701 0.24269759 0.24268865 0.24270629 4.55530935 1.87264603 0.23894388 0.23894372 0.23893629 0.23895245 4.66002910 1.85774405 0.23533500 0.23533412 0.23532808 0.23534292 4.76474886 1.84308263 0.23181581 0.23181441 0.23180966 0.23182312 4.86946861 1.82868657 0.22838901 0.22838724 0.22838368 0.22839575 4.97418837 1.81462443 0.22507068 0.22506849 0.22506602 0.22507690 5.07890812 1.80089812 0.22186065 0.22185797 0.22185652 0.22186638 5.18362788 1.78748634 0.21875065 0.21874783 0.21874733 0.21875591 5.28834763 1.77428270 0.21571243 0.21570967 0.21571005 0.21571724 5.39306739 1.76127263 0.21274157 0.21273870 0.21273991 0.21274597 5.49778714 1.74851842 0.20985259 0.20984952 0.20985150 0.20985659 5.60250690 1.73598833 0.20703497 0.20703164 0.20703432 0.20703863 5.70722665 1.72368617 0.20428928 0.20428573 0.20428908 0.20429261 5.81194641 1.71156135 0.20160198 0.20159826 0.20160223 0.20160500 5.91666616 1.69977249 0.19901316 0.19900933 0.19901388 0.19901589 6.02138592 1.68826043 0.19650576 0.19650173 0.19650682 0.19650822 6.12610567 1.67693442 0.19405571 0.19405140 0.19405699 0.19405791 6.23082543 1.66579069 0.19166192 0.19165752 0.19166358 0.19166389 6.33554518 1.65491206 0.18934516 0.18934079 0.18934729 0.18934690 6.44026494 1.64419425 0.18707661 0.18707229 0.18707920 0.18707815 6.54498469 1.63360086 0.18484718 0.18484277 0.18485005 0.18484852 6.64970445 1.62314537 0.18265985 0.18265530 0.18266294 0.18266101 6.75442421 1.61284505 0.18051884 0.18051414 0.18052213 0.18051983 6.85914396 1.60272585 0.17843040 0.17842559 0.17843390 0.17843123 6.96386372 1.59280669 0.17639838 0.17639350 0.17640212 0.17639906 7.06858347 1.58306720 0.17441753 0.17441259 0.17442150 0.17441805 7.17330323 1.57344187 0.17247055 0.17246557 0.17247475 0.17247095 7.27802298 1.56397869 0.17056876 0.17056367 0.17057310 0.17056905 7.38274274 1.55467962 0.16871281 0.16870755 0.16871722 0.16871298 7.48746249 1.54554088 0.16690141 0.16689609 0.16690598 0.16690147 7.59218225 1.53655229 0.16513123 0.16512590 0.16513599 0.16513118 7.69690200 1.52764189 0.16338390 0.16337860 0.16338889 0.16338375 7.80162176 1.51879718 0.16165656 0.16165128 0.16166176 0.16165632 7.90634151 1.51011044 0.15997247 0.15996719 0.15997785 0.15997216 8.01106127 1.50161486 0.15833910 0.15833378 0.15834460 0.15833871 8.11578102 1.49324800 0.15673992 0.15673454 0.15674550 0.15673947 8.22050078 1.48497767 0.15516687 0.15516140 0.15517251 0.15516636 8.32522053 1.47683860 0.15362881 0.15362335 0.15363459 0.15362822 8.42994029 1.46882675 0.15212470 0.15211932 0.15213069 0.15212406 8.53466004 1.46091601 0.15064792 0.15064256 0.15065404 0.15064722 8.63937980 1.45309163 0.14919431 0.14918892 0.14920051 0.14919357 8.74409955 1.44536334 0.14776596 0.14776050 0.14777220 0.14776518 8.84881931 1.43781209 0.14638315 0.14637762 0.14638941 0.14638233 8.95353906 1.43041285 0.14503935 0.14503373 0.14504561 0.14503849 9.05825882 1.42305399 0.14370635 0.14370067 0.14371264 0.14370545 9.16297857 1.41572186 0.14238095 0.14237521 0.14238726 0.14238001 9.26769833 1.40846130 0.14107433 0.14106858 0.14108071 0.14107336 9.37241808 1.40126730 0.13978493 0.13977915 0.13979136 0.13978393 9.47713784 1.39415970 0.13851757 0.13851175 0.13852403 0.13851654 9.58185759 1.38720592 0.13728894 0.13728313 0.13729547 0.13728788 9.68657735 1.38039235 0.13609540 0.13608962 0.13610202 0.13609432 9.79129710 1.37365787 0.13492163 0.13491587 0.13492833 0.13492052 9.89601686 1.36697616 0.13376110 0.13375536 0.13376786 0.13375998 10.00073661 1.36037568 0.13262078 0.13261506 0.13262760 0.13261965 10.10545637 1.35386999 0.13150386 0.13149815 0.13151072 0.13150271 10.21017612 1.34742277 0.13040130 0.13039559 0.13040820 0.13040014 10.31489588 1.34102233 0.12931025 0.12930452 0.12931716 0.12930907 10.41961563 1.33468853 0.12823561 0.12822987 0.12824254 0.12823442 10.52433539 1.32841675 0.12717617 0.12717041 0.12718311 0.12717497 10.62905514 1.32220407 0.12613112 0.12612534 0.12613807 0.12612990 10.73377490 1.31608011 0.12510768 0.12510189 0.12511465 0.12510646 10.83849465 1.31003761 0.12410391 0.12409811 0.12411088 0.12410269 10.94321441 1.30402893 0.12310796 0.12310213 0.12311493 0.12310673 11.04793417 1.29806234 0.12212196 0.12211611 0.12212892 0.12212072 11.15265392 1.29219596 0.12116027 0.12115440 0.12116723 0.12115903 11.25737368 1.28645122 0.12022800 0.12022210 0.12023495 0.12022675 11.36209343 1.28079127 0.11931586 0.11930996 0.11932282 0.11931461 11.46681319 1.27515272 0.11840814 0.11840225 0.11841512 0.11840688 11.57153294 1.26951364 0.11749951 0.11749364 0.11750652 0.11749824 11.67625270 1.26392298 0.11660215 0.11659631 0.11660919 0.11660088 11.78097245 1.25843296 0.11572890 0.11572307 0.11573595 0.11572763 11.88569221 1.25303487 0.11487740 0.11487156 0.11488444 0.11487613 11.99041196 1.24767890 0.11403529 0.11402944 0.11404232 0.11403401 12.09513172 1.24234746 0.11319834 0.11319250 0.11320538 0.11319706 12.19985147 1.23706134 0.11237175 0.11236592 0.11237879 0.11237047 12.30457123 1.23182469 0.11155646 0.11155064 0.11156350 0.11155519 12.40929098 1.22662408 0.11074909 0.11074327 0.11075612 0.11074782 12.51401074 1.22146786 0.10995163 0.10994581 0.10995866 0.10995036 12.61873049 1.21637613 0.10916899 0.10916317 0.10917602 0.10916772 12.72345025 1.21134356 0.10839987 0.10839404 0.10840688 0.10839860 12.82817000 1.20635528 0.10764062 0.10763479 0.10764762 0.10763935 12.93288976 1.20142169 0.10689379 0.10688797 0.10690079 0.10689252 13.03760951 1.19655763 0.10616293 0.10615712 0.10616994 0.10616167 13.14232927 1.19175153 0.10544512 0.10543934 0.10545215 0.10544387 13.24704902 1.18698313 0.10473538 0.10472962 0.10474242 0.10473414 13.35176878 1.18224914 0.10403289 0.10402715 0.10403992 0.10403165 13.45648853 1.17755950 0.10334008 0.10333435 0.10334710 0.10333885 13.56120829 1.17291867 0.10265809 0.10265237 0.10266510 0.10265687 13.66592804 1.16831698 0.10198456 0.10197884 0.10199156 0.10198335 13.77064780 1.16374302 0.10131667 0.10131094 0.10132364 0.10131546 13.87536755 1.15919683 0.10065438 0.10064865 0.10066133 0.10065318 13.98008731 1.15468803 0.10000002 0.09999429 0.10000695 0.09999882 14.08480706 1.15022454 0.09935551 0.09934978 0.09936242 0.09935430 14.18952682 1.14580354 0.09872015 0.09871443 0.09872705 0.09871894 14.29424657 1.14141312 0.09809106 0.09808534 0.09809794 0.09808985 14.39896633 1.13704389 0.09746595 0.09746024 0.09747282 0.09746474 14.50368608 1.13269883 0.09684556 0.09683986 0.09685241 0.09684434 14.60840584 1.12839104 0.09623306 0.09622737 0.09623990 0.09623184 14.71312559 1.12413533 0.09563204 0.09562636 0.09563888 0.09563083 14.81784535 1.11994323 0.09504529 0.09503963 0.09505212 0.09504409 14.92256510 1.11581740 0.09447341 0.09446776 0.09448024 0.09447221 15.02728486 1.11174513 0.09391328 0.09390764 0.09392009 0.09391209 15.13200461 1.10770433 0.09335950 0.09335389 0.09336631 0.09335832 15.23672437 1.10367797 0.09280795 0.09280236 0.09281476 0.09280677 15.34144413 1.09965695 0.09225642 0.09225086 0.09226322 0.09225525 15.44616388 1.09563538 0.09170347 0.09169793 0.09171026 0.09170231 15.55088364 1.09161648 0.09114989 0.09114436 0.09115667 0.09114874 15.65560339 1.08761987 0.09060048 0.09059496 0.09060723 0.09059933 15.76032315 1.08367090 0.09006139 0.09005588 0.09006813 0.09006025 15.86504290 1.07977816 0.08953468 0.08952918 0.08954140 0.08953354 15.96976266 1.07592313 0.08901581 0.08901032 0.08902252 0.08901468 16.07448241 1.07207607 0.08849757 0.08849210 0.08850426 0.08849645 16.17920217 1.06822567 0.08797724 0.08797177 0.08798390 0.08797612 16.28392192 1.06439041 0.08745931 0.08745384 0.08746594 0.08745819 16.38864168 1.06059953 0.08695087 0.08694541 0.08695748 0.08694976 16.49336143 1.05686923 0.08645586 0.08645041 0.08646246 0.08645475 16.59808119 1.05319743 0.08597375 0.08596832 0.08598034 0.08597265 16.70280094 1.04957207 0.08550160 0.08549619 0.08550819 0.08550051 16.80752070 1.04598119 0.08503650 0.08503111 0.08504307 0.08503542 16.91224045 1.04241778 0.08457672 0.08457135 0.08458328 0.08457565 17.01696021 1.03887599 0.08412085 0.08411548 0.08412739 0.08411979 17.12167996 1.03534710 0.08366680 0.08366143 0.08367330 0.08366574 17.22639972 1.03182591 0.08321331 0.08320794 0.08321978 0.08321225 17.33111947 1.02831828 0.08276182 0.08275646 0.08276827 0.08276076 17.43583923 1.02483597 0.08231518 0.08230982 0.08232160 0.08231413 17.54055898 1.02138607 0.08187510 0.08186974 0.08188150 0.08187405 17.64527874 1.01796606 0.08144095 0.08143561 0.08144733 0.08143990 17.74999849 1.01456667 0.08101050 0.08100516 0.08101686 0.08100945 17.85471825 1.01118064 0.08058197 0.08057665 0.08058831 0.08058093 17.95943800 1.00780983 0.08015583 0.08015053 0.08016216 0.08015480 18.06415776 1.00446199 0.07973396 0.07972868 0.07974027 0.07973293 18.16887751 1.00114214 0.07931756 0.07931230 0.07932386 0.07931654 18.27359727 0.99784986 0.07890653 0.07890129 0.07891281 0.07890552 18.37831702 0.99458340 0.07850044 0.07849521 0.07850671 0.07849944 18.48303678 0.99134310 0.07809939 0.07809417 0.07810563 0.07809839 18.58775653 0.98813025 0.07770368 0.07769847 0.07770991 0.07770269 18.69247629 0.98494398 0.07731312 0.07730792 0.07731933 0.07731213 18.79719604 0.98178089 0.07692687 0.07692169 0.07693307 0.07692589 18.90191580 0.97863803 0.07654423 0.07653906 0.07655040 0.07654326 19.00663555 0.97551522 0.07616515 0.07615998 0.07617130 0.07616418 19.11135531 0.97241532 0.07579031 0.07578515 0.07579644 0.07578934 19.21607506 0.96934360 0.07542099 0.07541584 0.07542710 0.07542002 19.32079482 0.96630531 0.07505845 0.07505332 0.07506455 0.07505749 19.42551457 0.96329964 0.07470251 0.07469739 0.07470859 0.07470154 19.53023433 0.96031574 0.07435055 0.07434545 0.07435662 0.07434959 19.63495408 0.95733794 0.07399880 0.07399372 0.07400486 0.07399784 19.73967384 0.95435767 0.07364521 0.07364015 0.07365125 0.07364426 19.84439360 0.95137977 0.07329094 0.07328589 0.07329695 0.07328999 19.94911335 0.94841629 0.07293889 0.07293384 0.07294488 0.07293795 20.05383311 0.94547489 0.07259090 0.07258586 0.07259687 0.07258997 20.15855286 0.94255372 0.07224653 0.07224150 0.07225247 0.07224561 20.26327262 0.93964590 0.07190412 0.07189910 0.07191004 0.07190320 20.36799237 0.93674646 0.07156249 0.07155747 0.07156838 0.07156157 20.47271213 0.93385538 0.07122162 0.07121662 0.07122750 0.07122070 20.57743188 0.93097643 0.07088243 0.07087745 0.07088830 0.07088152 20.68215164 0.92811497 0.07054623 0.07054127 0.07055208 0.07054532 20.78687139 0.92527609 0.07021423 0.07020930 0.07022008 0.07021333 20.89159115 0.92246294 0.06988721 0.06988229 0.06989305 0.06988631 20.99631090 0.91967583 0.06956524 0.06956034 0.06957106 0.06956434 21.10103066 0.91691302 0.06924790 0.06924302 0.06925371 0.06924702 21.20575041 0.91417254 0.06893473 0.06892985 0.06894051 0.06893385 21.31047017 0.91145294 0.06862536 0.06862050 0.06863112 0.06862449 21.41518992 0.90875336 0.06831960 0.06831474 0.06832533 0.06831872 21.51990968 0.90607350 0.06801736 0.06801250 0.06802307 0.06801649 21.62462943 0.90341283 0.06771852 0.06771368 0.06772422 0.06771766 21.72934919 0.90076895 0.06742251 0.06741768 0.06742819 0.06742166 21.83406894 0.89813733 0.06712826 0.06712344 0.06713392 0.06712741 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