# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.07853982 3.63712263 0.80390948 0.80489389 0.80368214 0.80330697 0.23561945 3.50325803 0.74722888 0.74731792 0.74505625 0.74923786 0.39269908 3.24072279 0.66969595 0.66969608 0.66785054 0.67144501 0.54977871 3.05173918 0.61165558 0.61169136 0.61032622 0.61288733 0.70685835 2.91536778 0.56746854 0.56753225 0.56653339 0.56830377 0.86393798 2.81060378 0.53204961 0.53212366 0.53138393 0.53261698 1.02101761 2.72577767 0.50255944 0.50263184 0.50207243 0.50295175 1.17809725 2.65374505 0.47718775 0.47726108 0.47682967 0.47746573 1.33517688 2.59054434 0.45490259 0.45497089 0.45463172 0.45510488 1.49225651 2.53366396 0.43500180 0.43505887 0.43478758 0.43515348 1.64933614 2.48182865 0.41709691 0.41714900 0.41692860 0.41721393 1.80641578 2.43343616 0.40070313 0.40074497 0.40056386 0.40079562 1.96349541 2.38809806 0.38565523 0.38568936 0.38553911 0.38573006 2.12057504 2.34531113 0.37174845 0.37177748 0.37165175 0.37181040 2.27765467 2.30465280 0.35883260 0.35885538 0.35874958 0.35888465 2.43473431 2.26606729 0.34683266 0.34685154 0.34676197 0.34687727 2.59181394 2.22897389 0.33555737 0.33557478 0.33549882 0.33559583 2.74889357 2.19364950 0.32504470 0.32505888 0.32499430 0.32507818 2.90597320 2.15997973 0.31521537 0.31522735 0.31517226 0.31524475 3.06305284 2.12744850 0.30590927 0.30591929 0.30587236 0.30593516 3.22013247 2.09605703 0.29710131 0.29711011 0.29707024 0.29712424 3.37721210 2.06590947 0.28879450 0.28880246 0.28876860 0.28881485 3.53429174 2.03689774 0.28093971 0.28094550 0.28091689 0.28095782 3.69137137 2.00893622 0.27349467 0.27349834 0.27347430 0.27351082 3.84845100 1.98207052 0.26646135 0.26646425 0.26644421 0.26647574 4.00553063 1.95607666 0.25976073 0.25976350 0.25974697 0.25977354 4.16261027 1.93101017 0.25339935 0.25340061 0.25338716 0.25341078 4.31968990 1.90671558 0.24732184 0.24732185 0.24731112 0.24733204 4.47676953 1.88333839 0.24155743 0.24155670 0.24154837 0.24156650 4.63384916 1.86080893 0.23608016 0.23607899 0.23607279 0.23608822 4.79092880 1.83881657 0.23079933 0.23079806 0.23079374 0.23080646 4.94800843 1.81737161 0.22571612 0.22571414 0.22571152 0.22572244 5.10508806 1.79673761 0.22089116 0.22088872 0.22088763 0.22089674 5.26216769 1.77645865 0.21619972 0.21619714 0.21619741 0.21620463 5.41924733 1.75703666 0.21177101 0.21176768 0.21176919 0.21177532 5.57632696 1.73818734 0.20751995 0.20751651 0.20751911 0.20752370 5.73340659 1.71972277 0.20340001 0.20339639 0.20339998 0.20340326 5.89048623 1.70174860 0.19943410 0.19943056 0.19943504 0.19943690 6.04756586 1.68453485 0.19568864 0.19568483 0.19569012 0.19569103 6.20464549 1.66773433 0.19207065 0.19206664 0.19207266 0.19207267 6.36172512 1.65118257 0.18853580 0.18853162 0.18853829 0.18853750 6.51880476 1.63519912 0.18516478 0.18516028 0.18516754 0.18516620 6.67588439 1.61958199 0.18190232 0.18189763 0.18190543 0.18190347 6.83296402 1.60439342 0.17876308 0.17875819 0.17876648 0.17876397 6.99004365 1.58953503 0.17572024 0.17571530 0.17572404 0.17572091 7.14712329 1.57495877 0.17275993 0.17275488 0.17276403 0.17276039 7.30420292 1.56082504 0.16992273 0.16991751 0.16992702 0.16992300 7.46128255 1.54693956 0.16715825 0.16715294 0.16716281 0.16715835 7.61836218 1.53333303 0.16447346 0.16446816 0.16447835 0.16447340 7.77544182 1.52004944 0.16187714 0.16187200 0.16188247 0.16187695 7.93252145 1.50713305 0.15937937 0.15937414 0.15938486 0.15937905 8.08960108 1.49442941 0.15694123 0.15693594 0.15694691 0.15694081 8.24668072 1.48205754 0.15459152 0.15458622 0.15459740 0.15459101 8.40376035 1.47003715 0.15233428 0.15232891 0.15234028 0.15233368 8.56083998 1.45820872 0.15012838 0.15012300 0.15013454 0.15012770 8.71791961 1.44653525 0.14796427 0.14795889 0.14797058 0.14796353 8.87499925 1.43504806 0.14584994 0.14584443 0.14585627 0.14584913 9.03207888 1.42390177 0.14382332 0.14381773 0.14382970 0.14382245 9.18915851 1.41293524 0.14184340 0.14183781 0.14184991 0.14184248 9.34623814 1.40218818 0.13991972 0.13991413 0.13992633 0.13991875 9.50331778 1.39165211 0.13804999 0.13804439 0.13805669 0.13804898 9.66039741 1.38133862 0.13623663 0.13623099 0.13624338 0.13623559 9.81747704 1.37113488 0.13445077 0.13444510 0.13445756 0.13444970 9.97455668 1.36109054 0.13270451 0.13269882 0.13271134 0.13270342 10.13163631 1.35127119 0.13101419 0.13100847 0.13102105 0.13101308 10.28871594 1.34169912 0.12938519 0.12937941 0.12939205 0.12938405 10.44579557 1.33229048 0.12779601 0.12779019 0.12780288 0.12779484 10.60287521 1.32290439 0.12621139 0.12620557 0.12621829 0.12621021 10.75995484 1.31361915 0.12465125 0.12464543 0.12465819 0.12465005 10.91703447 1.30465145 0.12316910 0.12316329 0.12317610 0.12316788 11.07411410 1.29587101 0.12173198 0.12172618 0.12173902 0.12173074 11.23119374 1.28718445 0.12031672 0.12031091 0.12032377 0.12031547 11.38827337 1.27865237 0.11893813 0.11893231 0.11894518 0.11893688 11.54535300 1.27020632 0.11757900 0.11757318 0.11758606 0.11757775 11.70243263 1.26190131 0.11625290 0.11624708 0.11625997 0.11625165 11.85951227 1.25381210 0.11497825 0.11497243 0.11498532 0.11497700 12.01659190 1.24587702 0.11373956 0.11373374 0.11374663 0.11373830 12.17367153 1.23798529 0.11250913 0.11250332 0.11251621 0.11250787 12.33075117 1.23011861 0.11128271 0.11127693 0.11128979 0.11128145 12.48783080 1.22228249 0.11006190 0.11005612 0.11006898 0.11006064 12.64491043 1.21455100 0.10886466 0.10885888 0.10887172 0.10886339 12.80199006 1.20701496 0.10771300 0.10770727 0.10772010 0.10771173 12.95906970 1.19959130 0.10658659 0.10658090 0.10659370 0.10658534 13.11614933 1.19224484 0.10547690 0.10547118 0.10548397 0.10547566 13.27322896 1.18502117 0.10439492 0.10438920 0.10440198 0.10439369 13.43030859 1.17791110 0.10333821 0.10333250 0.10334526 0.10333698 13.58738823 1.17092014 0.10230801 0.10230230 0.10231504 0.10230680 13.74446786 1.16401845 0.10129696 0.10129124 0.10130395 0.10129576 13.90154749 1.15719957 0.10030340 0.10029768 0.10031036 0.10030221 14.05862712 1.15047626 0.09933051 0.09932480 0.09933745 0.09932931 14.21570676 1.14387485 0.09838476 0.09837907 0.09839169 0.09838357 14.37278639 1.13739006 0.09746480 0.09745914 0.09747171 0.09746362 14.52986602 1.13100181 0.09656559 0.09655993 0.09657247 0.09656441 14.68694566 1.12467859 0.09567937 0.09567372 0.09568623 0.09567820 14.84402529 1.11835388 0.09478994 0.09478431 0.09479678 0.09478878 15.00110492 1.11204104 0.09390060 0.09389499 0.09390742 0.09389944 15.15818455 1.10585107 0.09303836 0.09303275 0.09304515 0.09303721 15.31526419 1.09978902 0.09220443 0.09219883 0.09221120 0.09220328 15.47234382 1.09376488 0.09137690 0.09137132 0.09138365 0.09137576 15.62942345 1.08777991 0.09055604 0.09055048 0.09056277 0.09055490 15.78650308 1.08187874 0.08975264 0.08974709 0.08975934 0.08975151 15.94358272 1.07608098 0.08897142 0.08896590 0.08897810 0.08897031 16.10066235 1.07036803 0.08820788 0.08820237 0.08821453 0.08820677 16.25774198 1.06469296 0.08745062 0.08744513 0.08745724 0.08744953 16.41482162 1.05907943 0.08670541 0.08669993 0.08671200 0.08670433 16.57190125 1.05357036 0.08598266 0.08597717 0.08598920 0.08598158 16.72898088 1.04815546 0.08527979 0.08527431 0.08528630 0.08527872 16.88606051 1.04279299 0.08458665 0.08458119 0.08459314 0.08458558 17.04314015 1.03745696 0.08389696 0.08389152 0.08390342 0.08389589 17.20021978 1.03215304 0.08321215 0.08320673 0.08321859 0.08321107 17.35729941 1.02690250 0.08253737 0.08253198 0.08254380 0.08253630 17.51437904 1.02172671 0.08187780 0.08187244 0.08188420 0.08187674 17.67145868 1.01661547 0.08123094 0.08122560 0.08123732 0.08122990 17.82853831 1.01155927 0.08059448 0.08058916 0.08060083 0.08059344 17.98561794 1.00655829 0.07996843 0.07996313 0.07997476 0.07996739 18.14269757 1.00159782 0.07934922 0.07934395 0.07935554 0.07934819 18.29977721 0.99667254 0.07873561 0.07873037 0.07874190 0.07873459 18.45685684 0.99179382 0.07813036 0.07812514 0.07813662 0.07812935 18.61393647 0.98697397 0.07753644 0.07753123 0.07754267 0.07753544 18.77101611 0.98221016 0.07695315 0.07694796 0.07695935 0.07695217 18.92809574 0.97747741 0.07637445 0.07636928 0.07638062 0.07637347 19.08517537 0.97276426 0.07579761 0.07579246 0.07580375 0.07579664 19.24225500 0.96809194 0.07522779 0.07522266 0.07523390 0.07522681 19.39933464 0.96348061 0.07466984 0.07466473 0.07467592 0.07466887 19.55641427 0.95893340 0.07412453 0.07411944 0.07413059 0.07412356 19.71349390 0.95444976 0.07359173 0.07358667 0.07359777 0.07359077 19.87057353 0.95002105 0.07306933 0.07306429 0.07307535 0.07306838 20.02765317 0.94561795 0.07255026 0.07254523 0.07255625 0.07254931 20.18473280 0.94121284 0.07202787 0.07202287 0.07203383 0.07202694 20.34181243 0.93682131 0.07150597 0.07150099 0.07151191 0.07150504 20.49889206 0.93249117 0.07099608 0.07099113 0.07100200 0.07099516 20.65597170 0.92824565 0.07050380 0.07049888 0.07050970 0.07050289 20.81305133 0.92407091 0.07002579 0.07002089 0.07003167 0.07002489 20.97013096 0.91994796 0.06955747 0.06955259 0.06956332 0.06955658 21.12721060 0.91585322 0.06909317 0.06908830 0.06909898 0.06909229 21.28429023 0.91175417 0.06862507 0.06862021 0.06863085 0.06862419 21.44136986 0.90764313 0.06815135 0.06814651 0.06815710 0.06815049 21.59844949 0.90355087 0.06767945 0.06767462 0.06768516 0.06767859 21.75552913 0.89952278 0.06722029 0.06721548 0.06722598 0.06721944 21.91260876 0.89558640 0.06678051 0.06677571 0.06678617 0.06677966 22.06968839 0.89172294 0.06635560 0.06635082 0.06636123 0.06635474 22.22676802 0.88788416 0.06593395 0.06592920 0.06593956 0.06593310 22.38384766 0.88404353 0.06550921 0.06550447 0.06551479 0.06550836 22.54092729 0.88020225 0.06508166 0.06507694 0.06508722 0.06508081 22.69800692 0.87636320 0.06465201 0.06464731 0.06465754 0.06465117 22.85508655 0.87253434 0.06422219 0.06421751 0.06422770 0.06422135 23.01216619 0.86873892 0.06379780 0.06379314 0.06380329 0.06379697 23.16924582 0.86499995 0.06338439 0.06337975 0.06338985 0.06338357 23.32632545 0.86132472 0.06298371 0.06297910 0.06298915 0.06298290 23.48340509 0.85770770 0.06259446 0.06258986 0.06259987 0.06259365 23.64048472 0.85413918 0.06221429 0.06220972 0.06221969 0.06221349 23.79756435 0.85061005 0.06184105 0.06183649 0.06184642 0.06184025 23.95464398 0.84711385 0.06147319 0.06146865 0.06147853 0.06147239 24.11172362 0.84364704 0.06110986 0.06110534 0.06111518 0.06110907 24.26880325 0.84020807 0.06075071 0.06074621 0.06075601 0.06074993 24.42588288 0.83679629 0.06039560 0.06039111 0.06040088 0.06039482 24.58296251 0.83341132 0.06004444 0.06003997 0.06004970 0.06004367 24.74004215 0.83005281 0.05969718 0.05969273 0.05970241 0.05969641 24.89712178 0.82672048 0.05935374 0.05934930 0.05935894 0.05935297 25.05420141 0.82341399 0.05901406 0.05900965 0.05901925 0.05901330 25.21128105 0.82013307 0.05867810 0.05867370 0.05868326 0.05867734 25.36836068 0.81687740 0.05834578 0.05834140 0.05835092 0.05834503 25.52544031 0.81364670 0.05801706 0.05801270 0.05802217 0.05801631 25.68251994 0.81044068 0.05769187 0.05768753 0.05769697 0.05769113 25.83959958 0.80725905 0.05737016 0.05736584 0.05737524 0.05736943 25.99667921 0.80410154 0.05705189 0.05704758 0.05705694 0.05705115 26.15375884 0.80096788 0.05673699 0.05673269 0.05674202 0.05673626 26.31083847 0.79785780 0.05642541 0.05642113 0.05643042 0.05642468 26.46791811 0.79477102 0.05611711 0.05611285 0.05612209 0.05611639 26.62499774 0.79170730 0.05581203 0.05580779 0.05581699 0.05581131 26.78207737 0.78866637 0.05551012 0.05550590 0.05551507 0.05550941 26.93915700 0.78564799 0.05521135 0.05520714 0.05521627 0.05521064 27.09623664 0.78265190 0.05491566 0.05491147 0.05492056 0.05491495 27.25331627 0.77967785 0.05462300 0.05461883 0.05462788 0.05462230 27.41039590 0.77672562 0.05433334 0.05432918 0.05433820 0.05433264 27.56747554 0.77379495 0.05404662 0.05404248 0.05405146 0.05404593 27.72455517 0.77088562 0.05376281 0.05375868 0.05376763 0.05376212 27.88163480 0.76799739 0.05348186 0.05347775 0.05348666 0.05348117 28.03871443 0.76513004 0.05320373 0.05319964 0.05320851 0.05320305 28.19579407 0.76228335 0.05292838 0.05292430 0.05293314 0.05292770 28.35287370 0.75945709 0.05265577 0.05265171 0.05266051 0.05265510 28.50995333 0.75665104 0.05238586 0.05238182 0.05239058 0.05238519 28.66703296 0.75386500 0.05211862 0.05211459 0.05212332 0.05211795 28.82411260 0.75109876 0.05185400 0.05184998 0.05185868 0.05185333 28.98119223 0.74835210 0.05159196 0.05158797 0.05159662 0.05159131 29.13827186 0.74562481 0.05133248 0.05132850 0.05133712 0.05133183 29.29535149 0.74291671 0.05107552 0.05107156 0.05108014 0.05107487 29.45243113 0.74022759 0.05082104 0.05081709 0.05082564 0.05082039 29.60951076 0.73755724 0.05056900 0.05056507 0.05057358 0.05056836 29.76659039 0.73490549 0.05031938 0.05031546 0.05032394 0.05031874 29.92367003 0.73227214 0.05007213 0.05006823 0.05007668 0.05007149 30.08074966 0.72965699 0.04982723 0.04982335 0.04983176 0.04982660 30.23782929 0.72705986 0.04958465 0.04958078 0.04958916 0.04958402 30.39490892 0.72448057 0.04934435 0.04934049 0.04934884 0.04934372 30.55198856 0.72191894 0.04910630 0.04910246 0.04911077 0.04910568 30.70906819 0.71937477 0.04887047 0.04886664 0.04887493 0.04886985 30.86614782 0.71684791 0.04863683 0.04863302 0.04864127 0.04863621 31.02322745 0.71433816 0.04840535 0.04840155 0.04840977 0.04840474 31.18030709 0.71184537 0.04817600 0.04817222 0.04818040 0.04817539 31.33738672 0.70936935 0.04794876 0.04794499 0.04795314 0.04794815 31.49446635 0.70690994 0.04772359 0.04771983 0.04772795 0.04772298 31.65154598 0.70446698 0.04750046 0.04749672 0.04750481 0.04749986 31.80862562 0.70204031 0.04727936 0.04727563 0.04728369 0.04727876 31.96570525 0.69962975 0.04706024 0.04705653 0.04706456 0.04705965 32.12278488 0.69723516 0.04684310 0.04683940 0.04684740 0.04684251 32.27986452 0.69485637 0.04662790 0.04662421 0.04663218 0.04662731 32.43694415 0.69249323 0.04641461 0.04641094 0.04641887 0.04641402 32.59402378 0.69014560 0.04620321 0.04619955 0.04620746 0.04620263 32.75110341 0.68781331 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