# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.05235988 3.57397207 0.79764671 0.79898754 0.79881272 0.79556723 0.15707963 3.67654908 0.79807587 0.79851123 0.79634363 0.79950759 0.26179939 3.47267742 0.73717677 0.73731524 0.73505902 0.73922911 0.36651914 3.28810517 0.68335666 0.68340205 0.68144622 0.68520540 0.47123890 3.14299030 0.63982226 0.63988950 0.63827909 0.64131663 0.57595865 3.02889022 0.60428654 0.60437303 0.60306683 0.60545073 0.68067841 2.93691914 0.57460057 0.57469078 0.57363201 0.57549716 0.78539816 2.86066795 0.54920353 0.54928946 0.54842669 0.54989395 0.89011792 2.79577884 0.52704163 0.52713362 0.52642469 0.52757611 0.99483767 2.73909600 0.50734908 0.50742933 0.50684133 0.50776648 1.09955743 2.68869263 0.48964048 0.48971152 0.48921885 0.48997024 1.20427718 2.64288972 0.47347616 0.47354407 0.47312781 0.47373980 1.30899694 2.60081662 0.45862024 0.45868512 0.45833024 0.45883380 1.41371669 2.56168232 0.44487358 0.44493336 0.44462851 0.44504863 1.51843645 2.52496614 0.43207469 0.43213257 0.43186891 0.43222005 1.62315620 2.49028258 0.42009980 0.42015013 0.41992062 0.42022206 1.72787596 2.45733891 0.40885521 0.40890134 0.40870045 0.40895915 1.83259571 2.42597880 0.39827670 0.39831885 0.39814213 0.39836611 1.93731547 2.39578024 0.38823833 0.38827409 0.38811792 0.38831605 2.04203522 2.36667945 0.37871088 0.37874072 0.37860227 0.37877916 2.14675498 2.33854929 0.36964101 0.36966888 0.36954581 0.36970137 2.25147474 2.31162498 0.36107399 0.36109739 0.36098757 0.36112782 2.35619449 2.28543554 0.35287100 0.35289134 0.35279316 0.35291933 2.46091425 2.26015741 0.34506424 0.34508203 0.34499416 0.34510784 2.56563400 2.23562192 0.33759100 0.33760708 0.33752826 0.33763052 2.67035376 2.21169926 0.33040935 0.33042390 0.33035309 0.33044537 2.77507351 2.18846661 0.32353652 0.32354812 0.32348452 0.32356948 2.87979327 2.16585586 0.31693636 0.31694716 0.31689000 0.31696658 2.98451302 2.14389009 0.31060606 0.31061693 0.31056551 0.31063380 3.08923278 2.12254180 0.30453345 0.30454266 0.30449646 0.30455901 3.19395253 2.10175614 0.29869850 0.29870575 0.29866423 0.29872209 3.29867229 2.08144248 0.29306642 0.29307269 0.29303548 0.29308819 3.40339204 2.06166865 0.28764671 0.28765184 0.28761852 0.28766683 3.50811180 2.04238512 0.28242083 0.28242541 0.28239563 0.28243944 3.61283155 2.02362798 0.27739528 0.27739937 0.27737278 0.27741250 3.71755131 2.00520934 0.27251680 0.27251987 0.27249622 0.27253277 3.82227106 1.98721621 0.26780241 0.26780411 0.26778314 0.26781722 3.92699082 1.96972099 0.26326580 0.26326714 0.26324862 0.26327952 4.03171057 1.95259096 0.25887057 0.25887175 0.25885547 0.25888327 4.13643033 1.93583342 0.25461466 0.25461535 0.25460114 0.25462642 4.24115008 1.91948684 0.25050431 0.25050443 0.25049215 0.25051519 4.34586984 1.90346355 0.24651311 0.24651295 0.24650244 0.24652316 4.45058959 1.88790251 0.24267477 0.24267409 0.24266520 0.24268406 4.55530935 1.87266867 0.23895083 0.23894978 0.23894238 0.23895942 4.66002910 1.85768946 0.23532053 0.23531943 0.23531341 0.23532846 4.76474886 1.84302980 0.23179830 0.23179698 0.23179221 0.23180562 4.86946861 1.82863430 0.22837036 0.22836852 0.22836493 0.22837711 4.97418837 1.81448765 0.22503063 0.22502843 0.22502595 0.22503685 5.07890812 1.80069867 0.22180576 0.22180313 0.22180168 0.22181148 5.18362788 1.78721251 0.21867856 0.21867563 0.21867515 0.21868382 5.28834763 1.77398253 0.21563477 0.21563171 0.21563211 0.21563959 5.39306739 1.76104247 0.21268220 0.21267900 0.21268023 0.21268660 5.49778714 1.74829258 0.20979346 0.20979027 0.20979226 0.20979748 5.60250690 1.73581772 0.20698956 0.20698634 0.20698903 0.20699323 5.70722665 1.72356765 0.20425742 0.20425404 0.20425740 0.20426075 5.81194641 1.71152822 0.20159219 0.20158875 0.20159273 0.20159520 5.91666616 1.69968414 0.19898857 0.19898521 0.19898977 0.19899128 6.02138592 1.68811786 0.19646740 0.19646393 0.19646903 0.19646984 6.12610567 1.67683871 0.19402959 0.19402584 0.19403144 0.19403178 6.23082543 1.66562462 0.19161741 0.19161346 0.19161953 0.19161937 6.33554518 1.65453217 0.18924520 0.18924112 0.18924764 0.18924693 6.44026494 1.64368341 0.18694341 0.18693922 0.18694616 0.18694494 6.54498469 1.63314324 0.18472866 0.18472437 0.18473169 0.18472999 6.64970445 1.62286581 0.18258822 0.18258389 0.18259159 0.18258936 6.75442421 1.61266090 0.18047172 0.18046742 0.18047545 0.18047268 6.85914396 1.60255833 0.17838657 0.17838215 0.17839050 0.17838737 6.96386372 1.59268158 0.17636533 0.17636076 0.17636941 0.17636598 7.06858347 1.58299502 0.17439794 0.17439337 0.17440230 0.17439845 7.17330323 1.57339052 0.17245590 0.17245130 0.17246050 0.17245627 7.27802298 1.56390607 0.17054908 0.17054436 0.17055381 0.17054934 7.38274274 1.55460579 0.16869329 0.16868850 0.16869819 0.16869344 7.48746249 1.54548351 0.16688614 0.16688129 0.16689119 0.16688618 7.59218225 1.53648826 0.16511423 0.16510929 0.16511939 0.16511417 7.69690200 1.52760256 0.16337338 0.16336837 0.16337867 0.16337322 7.80162176 1.51880100 0.16165715 0.16165214 0.16166262 0.16165691 7.90634151 1.51014903 0.15998155 0.15997650 0.15998715 0.15998123 8.01106127 1.50164221 0.15834483 0.15833969 0.15835050 0.15834444 8.11578102 1.49323369 0.15673528 0.15673002 0.15674098 0.15673483 8.22050078 1.48494859 0.15515912 0.15515378 0.15516489 0.15515861 8.32522053 1.47682339 0.15362517 0.15361980 0.15363105 0.15362459 8.42994029 1.46884547 0.15212974 0.15212438 0.15213576 0.15212911 8.53466004 1.46098853 0.15066602 0.15066067 0.15067216 0.15066533 8.63937980 1.45321140 0.14922357 0.14921818 0.14922978 0.14922283 8.74409955 1.44543479 0.14778265 0.14777720 0.14778890 0.14778186 8.84881931 1.43768737 0.14635078 0.14634529 0.14635709 0.14634995 8.95353906 1.43009800 0.14495979 0.14495426 0.14496616 0.14495892 9.05825882 1.42270882 0.14361959 0.14361403 0.14362602 0.14361868 9.16297857 1.41543712 0.14230939 0.14230383 0.14231591 0.14230845 9.26769833 1.40823163 0.14101632 0.14101078 0.14102293 0.14101533 9.37241808 1.40110874 0.13974440 0.13973888 0.13975110 0.13974338 9.47713784 1.39406884 0.13849372 0.13848821 0.13850049 0.13849268 9.58185759 1.38710048 0.13726140 0.13725589 0.13726823 0.13726034 9.68657735 1.38021920 0.13605124 0.13604570 0.13605810 0.13605016 9.79129710 1.37343782 0.13486614 0.13486058 0.13487303 0.13486505 9.89601686 1.36674818 0.13370379 0.13369821 0.13371071 0.13370269 10.00073661 1.36015312 0.13256488 0.13255927 0.13257182 0.13256375 10.10545637 1.35365528 0.13145008 0.13144446 0.13145705 0.13144894 10.21017612 1.34722922 0.13035300 0.13034734 0.13035997 0.13035185 10.31489588 1.34085779 0.12926930 0.12926358 0.12927623 0.12926814 10.41961563 1.33453136 0.12819645 0.12819070 0.12820339 0.12819527 10.52433539 1.32824326 0.12713286 0.12712712 0.12713983 0.12713166 10.62905514 1.32202005 0.12608523 0.12607951 0.12609225 0.12608401 10.73377490 1.31590174 0.12506332 0.12505760 0.12507037 0.12506210 10.83849465 1.30988576 0.12406623 0.12406048 0.12407327 0.12406500 10.94321441 1.30394203 0.12308638 0.12308062 0.12309343 0.12308515 11.04793417 1.29805045 0.12211882 0.12211306 0.12212590 0.12211757 11.15265392 1.29220864 0.12116296 0.12115722 0.12117007 0.12116171 11.25737368 1.28643097 0.12022229 0.12021655 0.12022941 0.12022104 11.36209343 1.28072604 0.11929887 0.11929312 0.11930599 0.11929761 11.46681319 1.27507950 0.11838919 0.11838343 0.11839630 0.11838793 11.57153294 1.26948235 0.11749104 0.11748527 0.11749815 0.11748978 11.67625270 1.26392851 0.11660284 0.11659707 0.11660994 0.11660158 11.78097245 1.25841048 0.11572265 0.11571689 0.11572977 0.11572139 11.88569221 1.25294686 0.11485505 0.11484928 0.11486216 0.11485379 11.99041196 1.24757112 0.11400823 0.11400245 0.11401533 0.11400697 12.09513172 1.24227525 0.11318014 0.11317436 0.11318724 0.11317887 12.19985147 1.23700771 0.11235805 0.11235228 0.11236515 0.11235678 12.30457123 1.23174508 0.11153625 0.11153049 0.11154336 0.11153498 12.40929098 1.22652446 0.11072393 0.11071816 0.11073103 0.11072266 12.51401074 1.22138928 0.10993171 0.10992593 0.10993879 0.10993044 12.61873049 1.21634080 0.10915980 0.10915401 0.10916686 0.10915854 12.72345025 1.21135278 0.10840168 0.10839588 0.10840873 0.10840042 12.82817000 1.20641218 0.10765411 0.10764833 0.10766117 0.10765285 12.93288976 1.20153269 0.10692047 0.10691469 0.10692753 0.10691921 13.03760951 1.19672579 0.10620351 0.10619774 0.10621056 0.10620225 13.14232927 1.19196591 0.10549694 0.10549117 0.10550398 0.10549568 13.24704902 1.18720936 0.10479004 0.10478429 0.10479708 0.10478878 13.35176878 1.18243349 0.10407727 0.10407154 0.10408432 0.10407601 13.45648853 1.17764585 0.10336046 0.10335477 0.10336753 0.10335921 13.56120829 1.17289050 0.10265044 0.10264478 0.10265751 0.10264920 13.66592804 1.16822153 0.10196046 0.10195480 0.10196752 0.10195923 13.77064780 1.16364686 0.10129241 0.10128675 0.10129944 0.10129119 13.87536755 1.15913210 0.10063783 0.10063216 0.10064483 0.10063662 13.98008731 1.15464240 0.09998814 0.09998246 0.09999511 0.09998693 14.08480706 1.15015809 0.09933854 0.09933286 0.09934548 0.09933733 14.18952682 1.14568215 0.09868978 0.09868411 0.09869672 0.09868857 14.29424657 1.14124485 0.09804929 0.09804364 0.09805623 0.09804809 14.39896633 1.13687822 0.09742490 0.09741926 0.09743183 0.09742370 14.50368608 1.13258325 0.09681682 0.09681119 0.09682374 0.09681563 14.60840584 1.12833605 0.09621917 0.09621354 0.09622606 0.09621799 14.71312559 1.12411538 0.09562672 0.09562109 0.09563359 0.09562554 14.81784535 1.11991304 0.09503745 0.09503182 0.09504430 0.09503627 14.92256510 1.11573358 0.09445247 0.09444684 0.09445930 0.09445130 15.02728486 1.11159013 0.09387499 0.09386937 0.09388181 0.09387382 15.13200461 1.10748887 0.09330652 0.09330091 0.09331332 0.09330535 15.23672437 1.10342359 0.09274553 0.09273994 0.09275232 0.09274437 15.34144413 1.09939102 0.09219121 0.09218564 0.09219800 0.09219005 15.44616388 1.09539515 0.09164452 0.09163898 0.09165131 0.09164337 15.55088364 1.09143303 0.09110475 0.09109923 0.09111153 0.09110361 15.65560339 1.08749000 0.09056833 0.09056283 0.09057510 0.09056720 15.76032315 1.08355355 0.09003225 0.09002675 0.09003899 0.09003112 15.86504290 1.07962800 0.08949754 0.08949206 0.08950427 0.08949642 15.96976266 1.07573376 0.08896917 0.08896370 0.08897588 0.08896806 16.07448241 1.07189380 0.08845271 0.08844725 0.08845940 0.08845161 16.17920217 1.06811789 0.08795051 0.08794506 0.08795719 0.08794941 16.28392192 1.06439216 0.08745920 0.08745376 0.08746586 0.08745810 16.38864168 1.06068601 0.08697132 0.08696591 0.08697797 0.08697024 16.49336143 1.05697792 0.08648167 0.08647627 0.08648831 0.08648060 16.59808119 1.05327261 0.08599140 0.08598601 0.08599801 0.08599033 16.70280094 1.04958975 0.08550528 0.08549989 0.08551187 0.08550421 16.80752070 1.04594411 0.08502687 0.08502148 0.08503343 0.08502581 16.91224045 1.04233947 0.08455708 0.08455170 0.08456362 0.08455602 17.01696021 1.03877323 0.08409528 0.08408990 0.08410180 0.08409422 17.12167996 1.03524079 0.08364036 0.08363499 0.08364686 0.08363931 17.22639972 1.03173604 0.08319085 0.08318550 0.08319733 0.08318980 17.33111947 1.02825126 0.08274490 0.08273956 0.08275136 0.08274385 17.43583923 1.02478124 0.08230124 0.08229591 0.08230768 0.08230020 17.54055898 1.02132718 0.08186015 0.08185483 0.08186657 0.08185911 17.64527874 1.01789209 0.08142235 0.08141705 0.08142876 0.08142132 17.74999849 1.01447522 0.08098767 0.08098238 0.08099405 0.08098664 17.85471825 1.01107794 0.08055642 0.08055115 0.08056280 0.08055540 17.95943800 1.00771102 0.08013124 0.08012599 0.08013760 0.08013022 18.06415776 1.00438630 0.07971498 0.07970973 0.07972132 0.07971397 18.16887751 1.00110319 0.07930748 0.07930224 0.07931380 0.07930647 18.27359727 0.99785029 0.07890598 0.07890075 0.07891228 0.07890498 18.37831702 0.99461624 0.07850774 0.07850251 0.07851402 0.07850674 18.48303678 0.99139351 0.07811094 0.07810572 0.07811719 0.07810994 18.58775653 0.98817911 0.07771485 0.07770964 0.07772108 0.07771386 18.69247629 0.98497915 0.07732096 0.07731576 0.07732717 0.07731997 18.79719604 0.98180765 0.07693266 0.07692749 0.07693886 0.07693168 18.90191580 0.97867367 0.07655215 0.07654700 0.07655834 0.07655117 19.00663555 0.97557110 0.07617794 0.07617281 0.07618412 0.07617696 19.11135531 0.97248444 0.07580628 0.07580118 0.07581246 0.07580532 19.21607506 0.96940287 0.07543459 0.07542950 0.07544074 0.07543362 19.32079482 0.96632642 0.07506285 0.07505777 0.07506898 0.07506189 19.42551457 0.96325976 0.07469220 0.07468713 0.07469831 0.07469125 19.53023433 0.96020337 0.07432275 0.07431770 0.07432884 0.07432181 19.63495408 0.95715376 0.07395368 0.07394864 0.07395975 0.07395275 19.73967384 0.95411216 0.07358529 0.07358026 0.07359133 0.07358436 19.84439360 0.95108986 0.07322030 0.07321528 0.07322632 0.07321937 19.94911335 0.94810278 0.07286256 0.07285755 0.07286856 0.07286164 20.05383311 0.94516098 0.07251448 0.07250948 0.07252047 0.07251357 20.15855286 0.94226190 0.07217545 0.07217046 0.07218142 0.07217454 20.26327262 0.93939136 0.07184203 0.07183706 0.07184799 0.07184113 20.36799237 0.93653149 0.07150994 0.07150498 0.07151587 0.07150904 20.47271213 0.93367061 0.07117636 0.07117141 0.07118227 0.07117546 20.57743188 0.93080829 0.07084120 0.07083626 0.07084709 0.07084030 20.68215164 0.92795308 0.07050652 0.07050159 0.07051239 0.07050563 20.78687139 0.92511629 0.07017505 0.07017014 0.07018091 0.07017416 20.89159115 0.92230694 0.06984897 0.06984407 0.06985481 0.06984809 20.99631090 0.91952994 0.06952946 0.06952456 0.06953527 0.06952858 21.10103066 0.91678596 0.06921666 0.06921177 0.06922245 0.06921578 21.20575041 0.91407158 0.06890977 0.06890489 0.06891554 0.06890890 21.31047017 0.91137973 0.06860707 0.06860221 0.06861283 0.06860621 21.41518992 0.90870137 0.06830641 0.06830156 0.06831215 0.06830555 21.51990968 0.90602852 0.06800587 0.06800103 0.06801158 0.06800500 21.62462943 0.90335694 0.06770442 0.06769960 0.06771012 0.06770356 21.72934919 0.90068696 0.06740215 0.06739735 0.06740784 0.06740130 21.83406894 0.89802203 0.06709991 0.06709511 0.06710557 0.06709906 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