# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.07853982 3.63679632 0.80391590 0.80481138 0.80361072 0.80331050 0.23561945 3.50420716 0.74746827 0.74756464 0.74529856 0.74947672 0.39269908 3.24070027 0.66971445 0.66967806 0.66783030 0.67146382 0.54977871 3.05198705 0.61171009 0.61173563 0.61036995 0.61294369 0.70685835 2.91483972 0.56732275 0.56739149 0.56639318 0.56815773 0.86393798 2.81039945 0.53199349 0.53206840 0.53132890 0.53256122 1.02101761 2.72569043 0.50253109 0.50261119 0.50205251 0.50292377 1.17809725 2.65370922 0.47716935 0.47724252 0.47681162 0.47744753 1.33517688 2.59047607 0.45488521 0.45495012 0.45461106 0.45508784 1.49225651 2.53371491 0.43502250 0.43507362 0.43480222 0.43517442 1.64933614 2.48167224 0.41706564 0.41711302 0.41689279 0.41718259 1.80641578 2.43338721 0.40069769 0.40073673 0.40055576 0.40079025 1.96349541 2.38789462 0.38560385 0.38563442 0.38548425 0.38567885 2.12057504 2.34517491 0.37172429 0.37175201 0.37162652 0.37178625 2.27765467 2.30462178 0.35883109 0.35885635 0.35875057 0.35888332 2.43473431 2.26603843 0.34683457 0.34685567 0.34676617 0.34687910 2.59181394 2.22923773 0.33563823 0.33565778 0.33558182 0.33567660 2.74889357 2.19383117 0.32509362 0.32510890 0.32504424 0.32512703 2.90597320 2.15992291 0.31520383 0.31521464 0.31515954 0.31523319 3.06305284 2.12736775 0.30589124 0.30589940 0.30585245 0.30591724 3.22013247 2.09617137 0.29713840 0.29714530 0.29710541 0.29716140 3.37721210 2.06614682 0.28886482 0.28887036 0.28883654 0.28888525 3.53429174 2.03719292 0.28101997 0.28102467 0.28099607 0.28103816 3.69137137 2.00910306 0.27354176 0.27354562 0.27352158 0.27355795 3.84845100 1.98208318 0.26646543 0.26646741 0.26644734 0.26647988 4.00553063 1.95612353 0.25977788 0.25977886 0.25976231 0.25979076 4.16261027 1.93105139 0.25341217 0.25341238 0.25339890 0.25342364 4.31968990 1.90677545 0.24733901 0.24733828 0.24732752 0.24734924 4.47676953 1.88342317 0.24158246 0.24158130 0.24157296 0.24159157 4.63384916 1.86067542 0.23604810 0.23604636 0.23604017 0.23605618 4.79092880 1.83860309 0.23074814 0.23074584 0.23074155 0.23075532 4.94800843 1.81726924 0.22569263 0.22569001 0.22568742 0.22569898 5.10508806 1.79651214 0.22083621 0.22083370 0.22083262 0.22084181 5.26216769 1.77643799 0.21619945 0.21619655 0.21619683 0.21620438 5.41924733 1.75704200 0.21177629 0.21177264 0.21177415 0.21178061 5.57632696 1.73826488 0.20754751 0.20754356 0.20754618 0.20755128 5.73340659 1.71990891 0.20345473 0.20345095 0.20345455 0.20345800 5.89048623 1.70199876 0.19950520 0.19950110 0.19950560 0.19950801 6.04756586 1.68465742 0.19572486 0.19572067 0.19572597 0.19572727 6.20464549 1.66785055 0.19210489 0.19210068 0.19210670 0.19210692 6.36172512 1.65149628 0.18862064 0.18861648 0.18862315 0.18862233 6.51880476 1.63548404 0.18524053 0.18523638 0.18524364 0.18524192 6.67588439 1.61962682 0.18191634 0.18191197 0.18191977 0.18191747 6.83296402 1.60423473 0.17872624 0.17872161 0.17872991 0.17872712 6.99004365 1.58942135 0.17569646 0.17569170 0.17570045 0.17569711 7.14712329 1.57489940 0.17275129 0.17274637 0.17275553 0.17275174 7.30420292 1.56070416 0.16989858 0.16989364 0.16990317 0.16989884 7.46128255 1.54679349 0.16712715 0.16712228 0.16713216 0.16712723 7.61836218 1.53333301 0.16447881 0.16447395 0.16448414 0.16447874 7.77544182 1.52015932 0.16191031 0.16190524 0.16191570 0.16191012 7.93252145 1.50716258 0.15939200 0.15938676 0.15939748 0.15939170 8.08960108 1.49451571 0.15696792 0.15696261 0.15697356 0.15696751 8.24668072 1.48211647 0.15461060 0.15460527 0.15461644 0.15461008 8.40376035 1.46996148 0.15231865 0.15231329 0.15232466 0.15231803 8.56083998 1.45813054 0.15011262 0.15010728 0.15011882 0.15011193 8.71791961 1.44655242 0.14797349 0.14796806 0.14797977 0.14797273 8.87499925 1.43517372 0.14588654 0.14588101 0.14589287 0.14588571 9.03207888 1.42397341 0.14384597 0.14384042 0.14385240 0.14384508 9.18915851 1.41301481 0.14186775 0.14186212 0.14187422 0.14186682 9.34623814 1.40233874 0.13996219 0.13995644 0.13996865 0.13996122 9.50331778 1.39178394 0.13808770 0.13808194 0.13809425 0.13808669 9.66039741 1.38136183 0.13624696 0.13624125 0.13625364 0.13624590 9.81747704 1.37117621 0.13446579 0.13446010 0.13447258 0.13446471 9.97455668 1.36123709 0.13274604 0.13274030 0.13275285 0.13274493 10.13163631 1.35146063 0.13106615 0.13106037 0.13107298 0.13106502 10.28871594 1.34179736 0.12941380 0.12940801 0.12942067 0.12941264 10.44579557 1.33229764 0.12780180 0.12779599 0.12780869 0.12780062 10.60287521 1.32296361 0.12623054 0.12622472 0.12623747 0.12622934 10.75995484 1.31379198 0.12469881 0.12469300 0.12470579 0.12469759 10.91703447 1.30479518 0.12320918 0.12320337 0.12321619 0.12320794 11.07411410 1.29593788 0.12175278 0.12174698 0.12175982 0.12175153 11.23119374 1.28717446 0.12031832 0.12031252 0.12032539 0.12031706 11.38827337 1.27853780 0.11891378 0.11890800 0.11892087 0.11891252 11.54535300 1.27007314 0.11755015 0.11754433 0.11755722 0.11754888 11.70243263 1.26177821 0.11622661 0.11622080 0.11623369 0.11622534 11.85951227 1.25364516 0.11494102 0.11493523 0.11494813 0.11493975 12.01659190 1.24561135 0.11367785 0.11367208 0.11368497 0.11367659 12.17367153 1.23769502 0.11244161 0.11243582 0.11244870 0.11244034 12.33075117 1.22995690 0.11124714 0.11124135 0.11125424 0.11124587 12.48783080 1.22231937 0.11007514 0.11006940 0.11008227 0.11007388 12.64491043 1.21470962 0.10890775 0.10890201 0.10891487 0.10890649 12.80199006 1.20722779 0.10776945 0.10776370 0.10777654 0.10776820 12.95906970 1.19983773 0.10665118 0.10664544 0.10665826 0.10664994 13.11614933 1.19245554 0.10553244 0.10552671 0.10553951 0.10553120 13.27322896 1.18519820 0.10444194 0.10443620 0.10444898 0.10444071 13.43030859 1.17810399 0.10338892 0.10338317 0.10339592 0.10338770 13.58738823 1.17109654 0.10235454 0.10234878 0.10236151 0.10235333 13.74446786 1.16418820 0.10134177 0.10133602 0.10134872 0.10134057 13.90154749 1.15736688 0.10034764 0.10034190 0.10035457 0.10034644 14.05862712 1.15063087 0.09937169 0.09936596 0.09937860 0.09937049 14.21570676 1.14399143 0.09841662 0.09841090 0.09842352 0.09841542 14.37278639 1.13742087 0.09747562 0.09746992 0.09748251 0.09747443 14.52986602 1.13092102 0.09654913 0.09654343 0.09655598 0.09654794 14.68694566 1.12452882 0.09564610 0.09564041 0.09565293 0.09564492 14.84402529 1.11826763 0.09477217 0.09476651 0.09477899 0.09477101 15.00110492 1.11213338 0.09392635 0.09392070 0.09393314 0.09392519 15.15818455 1.10606205 0.09309301 0.09308736 0.09309977 0.09309186 15.31526419 1.09999204 0.09225712 0.09225147 0.09226384 0.09225597 15.47234382 1.09393730 0.09142207 0.09141642 0.09142875 0.09142092 15.62942345 1.08793730 0.09059743 0.09059182 0.09060411 0.09059628 15.78650308 1.08203243 0.08979300 0.08978744 0.08979969 0.08979186 15.94358272 1.07623929 0.08901281 0.08900729 0.08901950 0.08901169 16.10066235 1.07051949 0.08824753 0.08824203 0.08825419 0.08824642 16.25774198 1.06484226 0.08748968 0.08748419 0.08749630 0.08748859 16.41482162 1.05922317 0.08674307 0.08673758 0.08674965 0.08674198 16.57190125 1.05366936 0.08600939 0.08600391 0.08601594 0.08600830 16.72898088 1.04818933 0.08529067 0.08528520 0.08529719 0.08528959 16.88606051 1.04280770 0.08459290 0.08458743 0.08459938 0.08459181 17.04314015 1.03750698 0.08391181 0.08390635 0.08391826 0.08391072 17.20021978 1.03221930 0.08323092 0.08322550 0.08323736 0.08322984 17.35729941 1.02692322 0.08254509 0.08253969 0.08255150 0.08254401 17.51437904 1.02167051 0.08186687 0.08186149 0.08187325 0.08186580 17.67145868 1.01652548 0.08121179 0.08120642 0.08121814 0.08121074 17.82853831 1.01151868 0.08058722 0.08058188 0.08059355 0.08058618 17.98561794 1.00660143 0.07998138 0.07997606 0.07998768 0.07998035 18.14269757 1.00168078 0.07937179 0.07936650 0.07937807 0.07937077 18.29977721 0.99672607 0.07875105 0.07874578 0.07875731 0.07875004 18.45685684 0.99179125 0.07813221 0.07812697 0.07813845 0.07813120 18.61393647 0.98693842 0.07753028 0.07752507 0.07753650 0.07752929 18.77101611 0.98217506 0.07694708 0.07694189 0.07695328 0.07694610 18.92809574 0.97746607 0.07637413 0.07636895 0.07638029 0.07637315 19.08517537 0.97279364 0.07580712 0.07580196 0.07581326 0.07580615 19.24225500 0.96815797 0.07524611 0.07524098 0.07525222 0.07524514 19.39933464 0.96354060 0.07468665 0.07468156 0.07469275 0.07468569 19.55641427 0.95893121 0.07412627 0.07412121 0.07413235 0.07412532 19.71349390 0.95436323 0.07357304 0.07356801 0.07357910 0.07357210 19.87057353 0.94987323 0.07303581 0.07303079 0.07304184 0.07303488 20.02765317 0.94545416 0.07251288 0.07250788 0.07251888 0.07251195 20.18473280 0.94108496 0.07199917 0.07199418 0.07200513 0.07199825 20.34181243 0.93676881 0.07149544 0.07149045 0.07150136 0.07149452 20.49889206 0.93251378 0.07100361 0.07099864 0.07100951 0.07100270 20.65597170 0.92830917 0.07052112 0.07051619 0.07052700 0.07052021 20.81305133 0.92413410 0.07004296 0.07003806 0.07004883 0.07004207 20.97013096 0.91997711 0.06956642 0.06956153 0.06957225 0.06956552 21.12721060 0.91584540 0.06909322 0.06908834 0.06909901 0.06909233 21.28429023 0.91174864 0.06862569 0.06862083 0.06863146 0.06862481 21.44136986 0.90767554 0.06816112 0.06815629 0.06816686 0.06816025 21.59844949 0.90360357 0.06769410 0.06768929 0.06769982 0.06769323 21.75552913 0.89953163 0.06722440 0.06721962 0.06723010 0.06722354 21.91260876 0.89549165 0.06675971 0.06675495 0.06676538 0.06675886 22.06968839 0.89152270 0.06630942 0.06630469 0.06631507 0.06630859 22.22676802 0.88763262 0.06587542 0.06587070 0.06588105 0.06587459 22.38384766 0.88379100 0.06545040 0.06544570 0.06545600 0.06544958 22.54092729 0.87996629 0.06502680 0.06502212 0.06503238 0.06502598 22.69800692 0.87615583 0.06460399 0.06459933 0.06460954 0.06460318 22.85508655 0.87237440 0.06418554 0.06418090 0.06419108 0.06418474 23.01216619 0.86863367 0.06377428 0.06376966 0.06377979 0.06377348 23.16924582 0.86493840 0.06337135 0.06336675 0.06337683 0.06337056 23.32632545 0.86129030 0.06297718 0.06297259 0.06298263 0.06297639 23.48340509 0.85768831 0.06259152 0.06258694 0.06259695 0.06259073 23.64048472 0.85412766 0.06221323 0.06220867 0.06221863 0.06221245 23.79756435 0.85060216 0.06184084 0.06183630 0.06184622 0.06184006 23.95464398 0.84710729 0.06147327 0.06146875 0.06147863 0.06147250 24.11172362 0.84364087 0.06111002 0.06110552 0.06111536 0.06110925 24.26880325 0.84020202 0.06075089 0.06074640 0.06075620 0.06075012 24.42588288 0.83679030 0.06039577 0.06039130 0.06040106 0.06039501 24.58296251 0.83340537 0.06004461 0.06004016 0.06004987 0.06004385 24.74004215 0.83004692 0.05969733 0.05969290 0.05970257 0.05969658 24.89712178 0.82671464 0.05935389 0.05934948 0.05935911 0.05935314 25.05420141 0.82340821 0.05901421 0.05900981 0.05901941 0.05901347 25.21128105 0.82012733 0.05867824 0.05867386 0.05868341 0.05867750 25.36836068 0.81687172 0.05834592 0.05834156 0.05835107 0.05834519 25.52544031 0.81364106 0.05801719 0.05801285 0.05802232 0.05801646 25.68251994 0.81043509 0.05769200 0.05768767 0.05769710 0.05769127 25.83959958 0.80725352 0.05737029 0.05736598 0.05737537 0.05736957 25.99667921 0.80409606 0.05705201 0.05704772 0.05705707 0.05705129 26.15375884 0.80096245 0.05673710 0.05673283 0.05674214 0.05673639 26.31083847 0.79785241 0.05642552 0.05642126 0.05643054 0.05642481 26.46791811 0.79476569 0.05611722 0.05611297 0.05612221 0.05611651 26.62499774 0.79170202 0.05581213 0.05580791 0.05581711 0.05581143 26.78207737 0.78866114 0.05551023 0.05550602 0.05551518 0.05550953 26.93915700 0.78564280 0.05521145 0.05520726 0.05521638 0.05521075 27.09623664 0.78264676 0.05491575 0.05491158 0.05492066 0.05491506 27.25331627 0.77967276 0.05462309 0.05461893 0.05462798 0.05462241 27.41039590 0.77672057 0.05433343 0.05432928 0.05433829 0.05433274 27.56747554 0.77378995 0.05404671 0.05404258 0.05405155 0.05404603 27.72455517 0.77088067 0.05376289 0.05375878 0.05376772 0.05376221 27.88163480 0.76799248 0.05348194 0.05347784 0.05348674 0.05348126 28.03871443 0.76512518 0.05320381 0.05319973 0.05320859 0.05320314 28.19579407 0.76227853 0.05292845 0.05292439 0.05293322 0.05292779 28.35287370 0.75945232 0.05265584 0.05265179 0.05266059 0.05265518 28.50995333 0.75664632 0.05238593 0.05238190 0.05239066 0.05238527 28.66703296 0.75386033 0.05211868 0.05211467 0.05212339 0.05211803 28.82411260 0.75109413 0.05185406 0.05185006 0.05185875 0.05185341 28.98119223 0.74834751 0.05159203 0.05158804 0.05159669 0.05159138 29.13827186 0.74562027 0.05133254 0.05132857 0.05133719 0.05133190 29.29535149 0.74291221 0.05107558 0.05107162 0.05108021 0.05107494 29.45243113 0.74022313 0.05082109 0.05081715 0.05082570 0.05082045 29.60951076 0.73755283 0.05056905 0.05056513 0.05057364 0.05056842 29.76659039 0.73490112 0.05031943 0.05031552 0.05032400 0.05031880 29.92367003 0.73226781 0.05007218 0.05006829 0.05007673 0.05007155 30.08074966 0.72965270 0.04982728 0.04982340 0.04983182 0.04982666 30.23782929 0.72705562 0.04958470 0.04958083 0.04958921 0.04958407 30.39490892 0.72447637 0.04934439 0.04934054 0.04934889 0.04934377 30.55198856 0.72191477 0.04910634 0.04910251 0.04911082 0.04910573 30.70906819 0.71937065 0.04887051 0.04886669 0.04887497 0.04886990 30.86614782 0.71684382 0.04863687 0.04863306 0.04864131 0.04863626 31.02322745 0.71433412 0.04840539 0.04840160 0.04840981 0.04840478 31.18030709 0.71184136 0.04817604 0.04817226 0.04818045 0.04817543 31.33738672 0.70936538 0.04794879 0.04794503 0.04795318 0.04794819 31.49446635 0.70690602 0.04772362 0.04771987 0.04772799 0.04772302 31.65154598 0.70446310 0.04750049 0.04749676 0.04750485 0.04749990 31.80862562 0.70203646 0.04727939 0.04727567 0.04728372 0.04727879 31.96570525 0.69962594 0.04706027 0.04705657 0.04706459 0.04705968 32.12278488 0.69723138 0.04684313 0.04683943 0.04684743 0.04684254 32.27986452 0.69485263 0.04662792 0.04662424 0.04663221 0.04662734 32.43694415 0.69248953 0.04641463 0.04641097 0.04641890 0.04641405 32.59402378 0.69014193 0.04620324 0.04619958 0.04620749 0.04620266 32.75110341 0.68780968 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