# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.05235988 3.56769364 0.79616823 0.79748763 0.79727948 0.79409521 0.15707963 3.67693184 0.79818798 0.79864363 0.79647756 0.79961255 0.26179939 3.47488791 0.73773405 0.73784669 0.73559267 0.73978527 0.36651914 3.29035534 0.68389255 0.68395946 0.68200346 0.68574255 0.47123890 3.14476013 0.64026653 0.64031927 0.63870813 0.64176275 0.57595865 3.03048157 0.60470253 0.60475722 0.60344979 0.60586878 0.68067841 2.93826061 0.57493844 0.57501888 0.57395872 0.57583662 0.78539816 2.86185000 0.54950649 0.54957985 0.54871564 0.55019831 0.89011792 2.79682859 0.52730672 0.52738549 0.52667543 0.52784250 0.99483767 2.74008515 0.50759573 0.50767573 0.50708675 0.50801455 1.09955743 2.68958796 0.48986119 0.48993704 0.48944365 0.49019173 1.20427718 2.64361451 0.47365535 0.47372633 0.47330956 0.47391962 1.30899694 2.60153481 0.45881059 0.45887786 0.45852264 0.45902478 1.41371669 2.56232409 0.44504016 0.44510149 0.44479627 0.44521584 1.51843645 2.52547444 0.43219997 0.43225938 0.43199542 0.43234585 1.62315620 2.49074316 0.42021387 0.42027099 0.42004120 0.42033644 1.72787596 2.45778601 0.40897270 0.40902040 0.40881930 0.40907696 1.83259571 2.42643488 0.39839960 0.39844323 0.39826625 0.39848929 1.93731547 2.39637349 0.38839593 0.38843578 0.38827936 0.38847397 2.04203522 2.36734302 0.37888625 0.37892247 0.37878373 0.37895476 2.14675498 2.33925292 0.36982682 0.36985782 0.36973445 0.36988739 2.25147474 2.31213251 0.36120740 0.36123389 0.36112388 0.36126137 2.35619449 2.28585592 0.35298337 0.35300602 0.35290773 0.35303185 2.46091425 2.26061343 0.34518735 0.34520979 0.34512179 0.34523107 2.56563400 2.23620494 0.33775169 0.33777164 0.33769271 0.33779131 2.67035376 2.21247657 0.33062518 0.33064247 0.33057158 0.33066125 2.77507351 2.18927124 0.32375442 0.32377004 0.32370633 0.32378742 2.87979327 2.16665933 0.31715017 0.31716366 0.31710638 0.31718041 2.98451302 2.14456026 0.31078403 0.31079546 0.31074398 0.31081184 3.08923278 2.12320362 0.30471043 0.30471947 0.30467319 0.30473606 3.19395253 2.10231871 0.29884459 0.29885274 0.29881115 0.29886827 3.29867229 2.08190008 0.29318301 0.29319001 0.29315272 0.29320485 3.40339204 2.06206294 0.28774700 0.28775378 0.28772038 0.28776717 3.50811180 2.04274575 0.28251773 0.28252332 0.28249346 0.28253638 3.61283155 2.02387042 0.27746397 0.27746824 0.27744161 0.27748124 3.71755131 2.00547014 0.27258977 0.27259373 0.27257003 0.27260575 3.82227106 1.98753546 0.26789094 0.26789472 0.26787371 0.26790572 3.92699082 1.97002770 0.26335021 0.26335348 0.26333490 0.26336390 4.03171057 1.95294659 0.25896643 0.25896887 0.25895254 0.25897911 4.13643033 1.93619203 0.25471081 0.25471231 0.25469806 0.25472254 4.24115008 1.91978057 0.25058302 0.25058349 0.25057116 0.25059388 4.34586984 1.90377209 0.24659612 0.24659582 0.24658525 0.24660618 4.45058959 1.88812716 0.24273638 0.24273524 0.24272630 0.24274570 4.55530935 1.87288920 0.23901258 0.23901096 0.23900351 0.23902121 4.66002910 1.85789396 0.23538022 0.23537857 0.23537250 0.23538819 4.76474886 1.84319467 0.23185002 0.23184791 0.23184313 0.23185738 4.86946861 1.82885833 0.22843877 0.22843626 0.22843267 0.22844555 4.97418837 1.81482654 0.22512776 0.22512537 0.22512288 0.22513400 5.07890812 1.80099473 0.22188942 0.22188719 0.22188571 0.22189515 5.18362788 1.78751753 0.21876346 0.21876104 0.21876051 0.21876872 5.28834763 1.77442560 0.21575565 0.21575286 0.21575321 0.21576047 5.39306739 1.76147096 0.21279831 0.21279549 0.21279666 0.21280273 5.49778714 1.74872970 0.20991111 0.20990824 0.20991016 0.20991514 5.60250690 1.73622554 0.20710025 0.20709700 0.20709964 0.20710394 5.70722665 1.72393506 0.20435745 0.20435389 0.20435719 0.20436080 5.81194641 1.71191162 0.20169530 0.20169170 0.20169562 0.20169834 5.91666616 1.70012244 0.19910570 0.19910200 0.19910650 0.19910845 6.02138592 1.68849904 0.19657022 0.19656635 0.19657140 0.19657269 6.12610567 1.67707856 0.19409658 0.19409259 0.19409815 0.19409879 6.23082543 1.66582471 0.19167442 0.19167033 0.19167637 0.19167640 6.33554518 1.65484198 0.18933102 0.18932676 0.18933324 0.18933277 6.44026494 1.64412857 0.18706404 0.18705964 0.18706653 0.18706559 6.54498469 1.63358639 0.18484830 0.18484377 0.18485105 0.18484965 6.64970445 1.62315413 0.18266765 0.18266294 0.18267060 0.18266882 6.75442421 1.61291919 0.18054362 0.18053881 0.18054681 0.18054462 6.85914396 1.60285421 0.17846857 0.17846380 0.17847211 0.17846941 6.96386372 1.59296231 0.17644300 0.17643829 0.17644690 0.17644368 7.06858347 1.58319583 0.17445485 0.17445008 0.17445897 0.17445539 7.17330323 1.57355010 0.17250246 0.17249755 0.17250670 0.17250288 7.27802298 1.56401598 0.17058285 0.17057781 0.17058723 0.17058315 7.38274274 1.55467582 0.16871700 0.16871193 0.16872159 0.16871718 7.48746249 1.54557707 0.16691627 0.16691120 0.16692109 0.16691634 7.59218225 1.53663771 0.16515884 0.16515368 0.16516377 0.16515880 7.69690200 1.52779931 0.16342960 0.16342431 0.16343459 0.16342947 7.80162176 1.51905479 0.16172691 0.16172159 0.16173205 0.16172670 7.90634151 1.51043911 0.16005973 0.16005444 0.16006507 0.16005942 8.01106127 1.50198294 0.15843547 0.15843019 0.15844099 0.15843509 8.11578102 1.49364284 0.15684302 0.15683770 0.15684865 0.15684256 8.22050078 1.48530402 0.15525318 0.15524778 0.15525887 0.15525266 8.32522053 1.47704726 0.15368590 0.15368044 0.15369166 0.15368532 8.42994029 1.46895264 0.15216120 0.15215572 0.15216707 0.15216056 8.53466004 1.46104605 0.15068532 0.15067985 0.15069133 0.15068462 8.63937980 1.45330948 0.14925346 0.14924799 0.14925957 0.14925271 8.74409955 1.44564416 0.14784071 0.14783523 0.14784691 0.14783992 8.84881931 1.43802348 0.14644032 0.14643482 0.14644660 0.14643948 8.95353906 1.43051609 0.14506947 0.14506392 0.14507580 0.14506859 9.05825882 1.42312208 0.14372807 0.14372247 0.14373444 0.14372716 9.16297857 1.41578042 0.14240059 0.14239497 0.14240702 0.14239965 9.26769833 1.40853240 0.14109715 0.14109153 0.14110366 0.14109618 9.37241808 1.40141788 0.13982754 0.13982192 0.13983413 0.13982653 9.47713784 1.39439434 0.13858097 0.13857534 0.13858762 0.13857993 9.58185759 1.38744094 0.13735219 0.13734654 0.13735888 0.13735112 9.68657735 1.38057640 0.13614580 0.13614014 0.13615253 0.13614471 9.79129710 1.37380635 0.13496315 0.13495750 0.13496994 0.13496204 9.89601686 1.36710860 0.13379865 0.13379303 0.13380552 0.13379753 10.00073661 1.36048397 0.13265244 0.13264679 0.13265933 0.13265131 10.10545637 1.35395891 0.13153094 0.13152521 0.13153779 0.13152979 10.21017612 1.34752195 0.13043114 0.13042535 0.13043797 0.13042998 10.31489588 1.34113503 0.12934359 0.12933778 0.12935043 0.12934241 10.41961563 1.33478724 0.12826560 0.12825979 0.12827248 0.12826440 10.52433539 1.32851143 0.12720525 0.12719945 0.12721218 0.12720404 10.62905514 1.32235594 0.12617432 0.12616854 0.12618130 0.12617310 10.73377490 1.31631751 0.12517182 0.12516602 0.12517880 0.12517059 10.83849465 1.31033525 0.12418267 0.12417684 0.12418964 0.12418143 10.94321441 1.30436541 0.12319614 0.12319029 0.12320310 0.12319490 11.04793417 1.29842004 0.12221516 0.12220930 0.12222213 0.12221391 11.15265392 1.29254364 0.12125060 0.12124473 0.12125757 0.12124935 11.25737368 1.28675470 0.12030706 0.12030120 0.12031404 0.12030581 11.36209343 1.28101956 0.11937624 0.11937037 0.11938322 0.11937498 11.46681319 1.27531404 0.11845201 0.11844613 0.11845900 0.11845074 11.57153294 1.26966173 0.11754014 0.11753426 0.11754714 0.11753886 11.67625270 1.26409375 0.11664829 0.11664242 0.11665531 0.11664700 11.78097245 1.25860180 0.11577436 0.11576852 0.11578140 0.11577308 11.88569221 1.25316186 0.11491244 0.11490660 0.11491949 0.11491116 11.99041196 1.24777804 0.11406359 0.11405775 0.11407064 0.11406231 12.09513172 1.24247353 0.11323349 0.11322765 0.11324054 0.11323221 12.19985147 1.23724819 0.11242198 0.11241614 0.11242903 0.11242070 12.30457123 1.23207025 0.11162112 0.11161530 0.11162818 0.11161984 12.40929098 1.22692316 0.11082683 0.11082102 0.11083390 0.11082555 12.51401074 1.22181326 0.11004069 0.11003489 0.11004776 0.11003941 12.61873049 1.21673896 0.10926224 0.10925644 0.10926931 0.10926096 12.72345025 1.21169828 0.10849092 0.10848513 0.10849798 0.10848965 12.82817000 1.20669650 0.10772805 0.10772228 0.10773511 0.10772678 12.93288976 1.20173770 0.10697470 0.10696895 0.10698177 0.10697344 13.03760951 1.19683151 0.10623328 0.10622753 0.10624034 0.10623202 13.14232927 1.19199372 0.10550760 0.10550185 0.10551465 0.10550634 13.24704902 1.18722899 0.10479870 0.10479296 0.10480574 0.10479745 13.35176878 1.18251760 0.10410174 0.10409599 0.10410876 0.10410049 13.45648853 1.17782895 0.10340919 0.10340344 0.10341620 0.10340795 13.56120829 1.17315336 0.10271872 0.10271297 0.10272571 0.10271747 13.66592804 1.16850962 0.10203489 0.10202915 0.10204187 0.10203365 13.77064780 1.16391773 0.10136257 0.10135683 0.10136954 0.10136134 13.87536755 1.15937881 0.10070203 0.10069629 0.10070897 0.10070079 13.98008731 1.15487969 0.10005003 0.10004429 0.10005696 0.10004880 14.08480706 1.15040735 0.09940340 0.09939766 0.09941031 0.09940217 14.18952682 1.14596347 0.09876252 0.09875679 0.09876941 0.09876129 14.29424657 1.14156396 0.09813125 0.09812554 0.09813814 0.09813004 14.39896633 1.13722444 0.09751341 0.09750771 0.09752029 0.09751220 14.50368608 1.13294463 0.09690891 0.09690320 0.09691576 0.09690770 14.60840584 1.12870297 0.09631243 0.09630673 0.09631927 0.09631123 14.71312559 1.12447573 0.09571816 0.09571248 0.09572500 0.09571697 14.81784535 1.12025608 0.09512447 0.09511881 0.09513130 0.09512327 14.92256510 1.11605004 0.09453286 0.09452722 0.09453968 0.09453166 15.02728486 1.11187290 0.09394708 0.09394147 0.09395390 0.09394589 15.13200461 1.10774433 0.09337194 0.09336634 0.09337874 0.09337076 15.23672437 1.10366847 0.09280838 0.09280278 0.09281516 0.09280720 15.34144413 1.09962728 0.09225197 0.09224638 0.09225873 0.09225080 15.44616388 1.09560315 0.09169841 0.09169283 0.09170515 0.09169725 15.55088364 1.09159602 0.09114772 0.09114213 0.09115443 0.09114656 15.65560339 1.08761332 0.09060169 0.09059611 0.09060838 0.09060054 15.76032315 1.08365843 0.09006116 0.09005557 0.09006782 0.09006001 15.86504290 1.07973706 0.08952749 0.08952191 0.08953413 0.08952635 15.96976266 1.07586072 0.08900346 0.08899789 0.08901009 0.08900232 16.07448241 1.07203371 0.08849011 0.08848456 0.08849672 0.08848897 16.17920217 1.06824461 0.08798464 0.08797912 0.08799126 0.08798352 16.28392192 1.06447933 0.08748366 0.08747816 0.08749027 0.08748254 16.38864168 1.06073897 0.08698743 0.08698196 0.08699404 0.08698632 16.49336143 1.05703435 0.08649860 0.08649314 0.08650519 0.08649749 16.59808119 1.05336678 0.08601747 0.08601202 0.08602405 0.08601637 16.70280094 1.04972898 0.08554226 0.08553683 0.08554882 0.08554117 16.80752070 1.04611844 0.08507236 0.08506693 0.08507890 0.08507127 16.91224045 1.04253388 0.08460744 0.08460202 0.08461396 0.08460635 17.01696021 1.03896631 0.08414533 0.08413992 0.08415183 0.08414424 17.12167996 1.03540659 0.08368381 0.08367843 0.08369030 0.08368273 17.22639972 1.03185727 0.08322352 0.08321816 0.08323000 0.08322245 17.33111947 1.02833107 0.08276754 0.08276219 0.08277400 0.08276648 17.43583923 1.02484032 0.08231885 0.08231351 0.08232529 0.08231779 17.54055898 1.02138893 0.08187839 0.08187306 0.08188481 0.08187734 17.64527874 1.01797289 0.08144519 0.08143986 0.08145158 0.08144414 17.74999849 1.01458656 0.08101786 0.08101254 0.08102423 0.08101682 17.85471825 1.01122605 0.08059546 0.08059015 0.08060181 0.08059442 17.95943800 1.00788599 0.08017669 0.08017139 0.08018302 0.08017566 18.06415776 1.00455846 0.07975963 0.07975436 0.07976595 0.07975861 18.16887751 1.00124088 0.07934370 0.07933844 0.07935000 0.07934269 18.27359727 0.99794306 0.07893128 0.07892603 0.07893755 0.07893027 18.37831702 0.99467923 0.07852582 0.07852057 0.07853207 0.07852481 18.48303678 0.99145130 0.07812777 0.07812252 0.07813399 0.07812677 18.58775653 0.98824594 0.07773389 0.07772865 0.07774009 0.07773289 18.69247629 0.98505175 0.07734142 0.07733618 0.07734759 0.07734042 18.79719604 0.98187379 0.07695156 0.07694633 0.07695771 0.07695057 18.90191580 0.97872508 0.07656747 0.07656225 0.07657360 0.07656648 19.00663555 0.97560739 0.07618958 0.07618437 0.07619569 0.07618860 19.11135531 0.97250761 0.07581472 0.07580952 0.07582081 0.07581375 19.21607506 0.96941300 0.07543984 0.07543465 0.07544591 0.07543887 19.32079482 0.96632355 0.07506495 0.07505977 0.07507099 0.07506398 19.42551457 0.96324736 0.07469199 0.07468682 0.07469801 0.07469102 19.53023433 0.96019016 0.07432236 0.07431719 0.07432835 0.07432139 19.63495408 0.95715403 0.07395654 0.07395138 0.07396251 0.07395557 19.73967384 0.95414159 0.07359517 0.07359003 0.07360113 0.07359421 19.84439360 0.95115613 0.07323904 0.07323393 0.07324500 0.07323808 19.94911335 0.94819926 0.07288855 0.07288346 0.07289450 0.07288759 20.05383311 0.94527162 0.07254385 0.07253879 0.07254980 0.07254291 20.15855286 0.94237377 0.07220508 0.07220004 0.07221102 0.07220415 20.26327262 0.93950365 0.07187175 0.07186673 0.07187768 0.07187082 20.36799237 0.93665438 0.07154220 0.07153719 0.07154811 0.07154127 20.47271213 0.93381665 0.07121418 0.07120920 0.07122008 0.07121327 20.57743188 0.93098393 0.07088614 0.07088116 0.07089201 0.07088523 20.68215164 0.92815521 0.07055783 0.07055287 0.07056368 0.07055692 20.78687139 0.92533393 0.07023008 0.07022513 0.07023591 0.07022917 20.89159115 0.92252558 0.06990422 0.06989928 0.06991003 0.06990332 20.99631090 0.91973666 0.06958181 0.06957688 0.06958761 0.06958091 21.10103066 0.91697414 0.06926453 0.06925962 0.06927031 0.06926363 21.20575041 0.91424328 0.06895364 0.06894875 0.06895941 0.06895275 21.31047017 0.91154442 0.06864923 0.06864436 0.06865500 0.06864835 21.41518992 0.90887115 0.06834976 0.06834491 0.06835552 0.06834888 21.51990968 0.90621188 0.06805245 0.06804762 0.06805819 0.06805158 21.62462943 0.90355441 0.06775437 0.06774954 0.06776008 0.06775350 21.72934919 0.90089123 0.06745371 0.06744890 0.06745941 0.06745285 21.83406894 0.89822283 0.06715061 0.06714580 0.06715628 0.06714974 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