# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.10471976 3.63037178 0.79618023 0.79684513 0.79512893 0.79662452 0.31415927 3.34576329 0.70187620 0.70194090 0.69986536 0.70383427 0.52359878 3.07161912 0.61839271 0.61846700 0.61704199 0.61969278 0.73303829 2.89231582 0.56005003 0.56014791 0.55920740 0.56082518 0.94247780 2.76398407 0.51604559 0.51614293 0.51550695 0.51651148 1.15191731 2.66339373 0.48067360 0.48075136 0.48030537 0.48096433 1.36135682 2.57939643 0.45102652 0.45109786 0.45077417 0.45121705 1.57079633 2.50586491 0.42540967 0.42546848 0.42522668 0.42554074 1.78023584 2.44010087 0.40296799 0.40301436 0.40282911 0.40306287 1.98967535 2.37955664 0.38287573 0.38291434 0.38276989 0.38294744 2.19911486 2.32352895 0.36480764 0.36483926 0.36472507 0.36486364 2.40855437 2.27124733 0.34844027 0.34846357 0.34837245 0.34848530 2.61799388 2.22203823 0.33347369 0.33349295 0.33341970 0.33351072 2.82743339 2.17546531 0.31970597 0.31972090 0.31966183 0.31973690 3.03687290 2.13143226 0.30703558 0.30704679 0.30699914 0.30706168 3.24631241 2.08969537 0.29532730 0.29533363 0.29529525 0.29534955 3.45575192 2.05009311 0.28448646 0.28449015 0.28445941 0.28450551 3.66519143 2.01242560 0.27440495 0.27440688 0.27438245 0.27442131 3.87463094 1.97649745 0.26500112 0.26500315 0.26498399 0.26501515 4.08407045 1.94224099 0.25621829 0.25621885 0.25620413 0.25623033 4.29350996 1.90958404 0.24801106 0.24801058 0.24799962 0.24802139 4.50294947 1.87839167 0.24032045 0.24031943 0.24031166 0.24032928 4.71238898 1.84845270 0.23307076 0.23306958 0.23306452 0.23307829 4.92182849 1.81970099 0.22623291 0.22623088 0.22622815 0.22623931 5.13126800 1.79213544 0.21978782 0.21978544 0.21978470 0.21979324 5.34070751 1.76571256 0.21371312 0.21371017 0.21371119 0.21371768 5.55014702 1.74018717 0.20793163 0.20792830 0.20793082 0.20793544 5.75958653 1.71566836 0.20246694 0.20246322 0.20246706 0.20247010 5.96902604 1.69219436 0.19731904 0.19731509 0.19732007 0.19732161 6.17846555 1.66954995 0.19242386 0.19241967 0.19242563 0.19242593 6.38790506 1.64759082 0.18773920 0.18773482 0.18774166 0.18774082 6.59734457 1.62632779 0.18326430 0.18325980 0.18326742 0.18326552 6.80678408 1.60584873 0.17901544 0.17901080 0.17901908 0.17901633 7.01622359 1.58604906 0.17496247 0.17495752 0.17496639 0.17496307 7.22566310 1.56692005 0.17110115 0.17109619 0.17110559 0.17110148 7.43510261 1.54832685 0.16739170 0.16738664 0.16739649 0.16739181 7.64454212 1.53016917 0.16380741 0.16380231 0.16381258 0.16380732 7.85398163 1.51273107 0.16041771 0.16041252 0.16042315 0.16041744 8.06342114 1.49582601 0.15717278 0.15716754 0.15717849 0.15717236 8.27286065 1.47931021 0.15403410 0.15402874 0.15403995 0.15403354 8.48230016 1.46317588 0.15099928 0.15099396 0.15100544 0.15099862 8.69173967 1.44752251 0.14809144 0.14808603 0.14809773 0.14809068 8.90117919 1.43231116 0.14529934 0.14529381 0.14530569 0.14529852 9.11061870 1.41756380 0.14262698 0.14262137 0.14263343 0.14262607 9.32005821 1.40325146 0.14006560 0.14006001 0.14007220 0.14006462 9.52949772 1.38921975 0.13757687 0.13757128 0.13758361 0.13757584 9.73893723 1.37543381 0.13515075 0.13514507 0.13515751 0.13514968 9.94837674 1.36202748 0.13281951 0.13281386 0.13282640 0.13281839 10.15781625 1.34904393 0.13059312 0.13058746 0.13060007 0.13059198 10.36725576 1.33628930 0.12842298 0.12841727 0.12842995 0.12842181 10.57669527 1.32380400 0.12631872 0.12631296 0.12632570 0.12631753 10.78613478 1.31157346 0.12427615 0.12427036 0.12428315 0.12427495 10.99557429 1.29967964 0.12231503 0.12230920 0.12232203 0.12231381 11.20501380 1.28809151 0.12042705 0.12042119 0.12043405 0.12042582 11.41445331 1.27668170 0.11858020 0.11857433 0.11858720 0.11857895 11.62389282 1.26549680 0.11678568 0.11677982 0.11679269 0.11678443 11.83333233 1.25443441 0.11501840 0.11501251 0.11502539 0.11501715 12.04277184 1.24366158 0.11331934 0.11331343 0.11332631 0.11331808 12.25221135 1.23315049 0.11168122 0.11167532 0.11168820 0.11167995 12.46165086 1.22276314 0.11006949 0.11006364 0.11007651 0.11006822 12.67109037 1.21260171 0.10850931 0.10850347 0.10851632 0.10850804 12.88052988 1.20266603 0.10700049 0.10699466 0.10700748 0.10699923 13.08996939 1.19283124 0.10551223 0.10550643 0.10551923 0.10551098 13.29940890 1.18323512 0.10407808 0.10407227 0.10408505 0.10407685 13.50884841 1.17385605 0.10269250 0.10268669 0.10269944 0.10269127 13.71828792 1.16459464 0.10133105 0.10132526 0.10133798 0.10132981 13.92772743 1.15546579 0.09999737 0.09999163 0.10000431 0.09999615 14.13716694 1.14656971 0.09871579 0.09871005 0.09872270 0.09871457 14.34660645 1.13791633 0.09748856 0.09748286 0.09749546 0.09748735 14.55604596 1.12938873 0.09628714 0.09628147 0.09629401 0.09628594 14.76548547 1.12091294 0.09509336 0.09508772 0.09510021 0.09509218 14.97492498 1.11251605 0.09391378 0.09390815 0.09392059 0.09391261 15.18436449 1.10424407 0.09275959 0.09275396 0.09276634 0.09275843 15.39380400 1.09616197 0.09164658 0.09164094 0.09165328 0.09164542 15.60324351 1.08821120 0.09056039 0.09055479 0.09056707 0.09055926 15.81268302 1.08040821 0.08950497 0.08949941 0.08951163 0.08950385 16.02212253 1.07267526 0.08846137 0.08845584 0.08846801 0.08846026 16.23156204 1.06507634 0.08744515 0.08743965 0.08745176 0.08744406 16.44100155 1.05763882 0.08646293 0.08645743 0.08646948 0.08646184 16.65044106 1.05029114 0.08549735 0.08549186 0.08550385 0.08549627 16.85988057 1.04301634 0.08454426 0.08453878 0.08455072 0.08454318 17.06932008 1.03587971 0.08361943 0.08361400 0.08362588 0.08361836 17.27875959 1.02889462 0.08272613 0.08272073 0.08273255 0.08272506 17.48819910 1.02198154 0.08184502 0.08183966 0.08185142 0.08184397 17.69763862 1.01510487 0.08096751 0.08096218 0.08097387 0.08096646 17.90707813 1.00833184 0.08010987 0.08010457 0.08011621 0.08010884 18.11651764 1.00165187 0.07926959 0.07926432 0.07927589 0.07926856 18.32595715 0.99506850 0.07844751 0.07844227 0.07845378 0.07844650 18.53539666 0.98860724 0.07764981 0.07764459 0.07765603 0.07764881 18.74483617 0.98223280 0.07686791 0.07686271 0.07687409 0.07686692 18.95427568 0.97590511 0.07609212 0.07608694 0.07609826 0.07609114 19.16371519 0.96965462 0.07532987 0.07532473 0.07533598 0.07532890 19.37315470 0.96353012 0.07459299 0.07458788 0.07459907 0.07459203 19.58259421 0.95753095 0.07388129 0.07387620 0.07388734 0.07388035 19.79203372 0.95160884 0.07318310 0.07317802 0.07318910 0.07318216 20.00147323 0.94572253 0.07248846 0.07248343 0.07249444 0.07248753 20.21091274 0.93988863 0.07180146 0.07179646 0.07180741 0.07180054 20.42035225 0.93412701 0.07112689 0.07112193 0.07113282 0.07112598 20.62979176 0.92844113 0.07046561 0.07046067 0.07047150 0.07046470 20.83923127 0.92283134 0.06981772 0.06981281 0.06982357 0.06981683 21.04867078 0.91729580 0.06918281 0.06917793 0.06918862 0.06918193 21.25811029 0.91182170 0.06855782 0.06855295 0.06856359 0.06855694 21.46754980 0.90639774 0.06794003 0.06793519 0.06794576 0.06793916 21.67698931 0.90103799 0.06733287 0.06732804 0.06733855 0.06733200 21.88642882 0.89575351 0.06673901 0.06673422 0.06674467 0.06673816 22.09586833 0.89053000 0.06615505 0.06615028 0.06616067 0.06615420 22.30530784 0.88536797 0.06558114 0.06557640 0.06558673 0.06558030 22.51474735 0.88028530 0.06502160 0.06501689 0.06502716 0.06502077 22.72418686 0.87526665 0.06447276 0.06446808 0.06447829 0.06447194 22.93362637 0.87026836 0.06392415 0.06391949 0.06392964 0.06392335 23.14306588 0.86529645 0.06337724 0.06337261 0.06338270 0.06337645 23.35250539 0.86039369 0.06284236 0.06283775 0.06284779 0.06284158 23.56194490 0.85556987 0.06232189 0.06231731 0.06232728 0.06232111 23.77138441 0.85084212 0.06181998 0.06181542 0.06182534 0.06181921 23.98082392 0.84624859 0.06134579 0.06134125 0.06135111 0.06134501 24.19026343 0.84176169 0.06089269 0.06088817 0.06089798 0.06089192 24.39970294 0.83729637 0.06044033 0.06043583 0.06044559 0.06043956 24.60914245 0.83282205 0.05998140 0.05997693 0.05998664 0.05998064 24.81858196 0.82836465 0.05952217 0.05951773 0.05952738 0.05952142 25.02802147 0.82394593 0.05906787 0.05906345 0.05907305 0.05906713 25.23746098 0.81957171 0.05861995 0.05861555 0.05862510 0.05861920 25.44690049 0.81524224 0.05817847 0.05817410 0.05818359 0.05817774 25.65634000 0.81095690 0.05774334 0.05773899 0.05774843 0.05774261 25.86577951 0.80671502 0.05731441 0.05731008 0.05731947 0.05731368 26.07521902 0.80251594 0.05689156 0.05688726 0.05689660 0.05689084 26.28465854 0.79835901 0.05647467 0.05647039 0.05647968 0.05647396 26.49409805 0.79424361 0.05606362 0.05605936 0.05606860 0.05606291 26.70353756 0.79016911 0.05565829 0.05565405 0.05566323 0.05565758 26.91297707 0.78613490 0.05525855 0.05525434 0.05526348 0.05525786 27.12241658 0.78214040 0.05486432 0.05486013 0.05486921 0.05486362 27.33185609 0.77818502 0.05447546 0.05447130 0.05448033 0.05447477 27.54129560 0.77426819 0.05409189 0.05408774 0.05409673 0.05409120 27.75073511 0.77038935 0.05371349 0.05370937 0.05371830 0.05371281 27.96017462 0.76654796 0.05334017 0.05333606 0.05334495 0.05333949 28.16961413 0.76274348 0.05297182 0.05296774 0.05297658 0.05297115 28.37905364 0.75897538 0.05260836 0.05260430 0.05261309 0.05260769 28.58849315 0.75524315 0.05224968 0.05224564 0.05225439 0.05224902 28.79793266 0.75154629 0.05189570 0.05189169 0.05190038 0.05189505 29.00737217 0.74788429 0.05154634 0.05154234 0.05155099 0.05154569 29.21681168 0.74425668 0.05120150 0.05119752 0.05120613 0.05120085 29.42625119 0.74066297 0.05086109 0.05085714 0.05086570 0.05086045 29.63569070 0.73710270 0.05052505 0.05052112 0.05052963 0.05052441 29.84513021 0.73357541 0.05019328 0.05018937 0.05019784 0.05019265 30.05456972 0.73008065 0.04986572 0.04986182 0.04987025 0.04986509 30.26400923 0.72661798 0.04954227 0.04953840 0.04954678 0.04954165 30.47344874 0.72318696 0.04922288 0.04921902 0.04922736 0.04922226 30.68288825 0.71978716 0.04890746 0.04890362 0.04891191 0.04890684 30.89232776 0.71641817 0.04859594 0.04859213 0.04860037 0.04859533 31.10176727 0.71307957 0.04828826 0.04828446 0.04829267 0.04828765 31.31120678 0.70977095 0.04798434 0.04798056 0.04798873 0.04798373 31.52064629 0.70649192 0.04768412 0.04768036 0.04768848 0.04768352 31.73008580 0.70324208 0.04738753 0.04738379 0.04739187 0.04738693 31.93952531 0.70002103 0.04709451 0.04709079 0.04709882 0.04709391 32.14896482 0.69682842 0.04680499 0.04680129 0.04680929 0.04680440 32.35840433 0.69366386 0.04651892 0.04651524 0.04652319 0.04651833 32.56784384 0.69052699 0.04623623 0.04623257 0.04624048 0.04623565 32.77728335 0.68741745 0.04595687 0.04595322 0.04596110 0.04595629 32.98672286 0.68433488 0.04568077 0.04567715 0.04568498 0.04568020 33.19616237 0.68127894 0.04540789 0.04540429 0.04541208 0.04540732 33.40560188 0.67824930 0.04513817 0.04513458 0.04514234 0.04513760 33.61504139 0.67524561 0.04487156 0.04486798 0.04487570 0.04487099 33.82448090 0.67226755 0.04460799 0.04460444 0.04461211 0.04460743 34.03392041 0.66931479 0.04434743 0.04434389 0.04435153 0.04434687 34.24335992 0.66638702 0.04408982 0.04408630 0.04409390 0.04408927 34.45279943 0.66348391 0.04383511 0.04383161 0.04383917 0.04383456 34.66223894 0.66060518 0.04358326 0.04357978 0.04358730 0.04358272 34.87167845 0.65775051 0.04333422 0.04333075 0.04333824 0.04333368 35.08111797 0.65491961 0.04308794 0.04308449 0.04309194 0.04308740 35.29055748 0.65211218 0.04284438 0.04284095 0.04284836 0.04284385 35.49999699 0.64932794 0.04260350 0.04260008 0.04260746 0.04260296 35.70943650 0.64656660 0.04236525 0.04236184 0.04236919 0.04236471 35.91887601 0.64382789 0.04212958 0.04212619 0.04213350 0.04212905 36.12831552 0.64111154 0.04189647 0.04189310 0.04190037 0.04189594 36.33775503 0.63841727 0.04166586 0.04166251 0.04166975 0.04166534 36.54719454 0.63574482 0.04143773 0.04143439 0.04144159 0.04143721 36.75663405 0.63309393 0.04121203 0.04120870 0.04121587 0.04121151 36.96607356 0.63046434 0.04098871 0.04098540 0.04099254 0.04098820 37.17551307 0.62785580 0.04076776 0.04076447 0.04077157 0.04076725 37.38495258 0.62526806 0.04054912 0.04054585 0.04055292 0.04054862 37.59439209 0.62270088 0.04033277 0.04032951 0.04033655 0.04033227 37.80383160 0.62015402 0.04011867 0.04011543 0.04012243 0.04011817 38.01327111 0.61762724 0.03990679 0.03990356 0.03991053 0.03990629 38.22271062 0.61512031 0.03969709 0.03969387 0.03970081 0.03969659 38.43215013 0.61263299 0.03948953 0.03948633 0.03949324 0.03948904 38.64158964 0.61016507 0.03928410 0.03928091 0.03928778 0.03928361 38.85102915 0.60771631 0.03908075 0.03907757 0.03908442 0.03908026 39.06046866 0.60528651 0.03887945 0.03887629 0.03888310 0.03887897 39.26990817 0.60287543 0.03868018 0.03867704 0.03868382 0.03867970 39.47934768 0.60048288 0.03848291 0.03847978 0.03848653 0.03848243 39.68878719 0.59810864 0.03828760 0.03828448 0.03829120 0.03828712 39.89822670 0.59575250 0.03809423 0.03809112 0.03809781 0.03809375 40.10766621 0.59341426 0.03790277 0.03789968 0.03790634 0.03790230 40.31710572 0.59109372 0.03771319 0.03771011 0.03771674 0.03771272 40.52654523 0.58879068 0.03752546 0.03752240 0.03752900 0.03752499 40.73598474 0.58650495 0.03733956 0.03733651 0.03734308 0.03733910 40.94542425 0.58423633 0.03715547 0.03715243 0.03715897 0.03715500 41.15486376 0.58198463 0.03697314 0.03697012 0.03697663 0.03697268 41.36430327 0.57974967 0.03679257 0.03678956 0.03679605 0.03679211 41.57374278 0.57753125 0.03661373 0.03661073 0.03661718 0.03661327 41.78318229 0.57532921 0.03643658 0.03643360 0.03644003 0.03643613 41.99262180 0.57314336 0.03626112 0.03625814 0.03626454 0.03626066 42.20206131 0.57097352 0.03608730 0.03608434 0.03609072 0.03608685 42.41150082 0.56881952 0.03591512 0.03591217 0.03591852 0.03591468 42.62094033 0.56668120 0.03574455 0.03574161 0.03574793 0.03574410 42.83037984 0.56455837 0.03557556 0.03557264 0.03557893 0.03557512 43.03981935 0.56245087 0.03540814 0.03540523 0.03541150 0.03540770 43.24925886 0.56035855 0.03524226 0.03523937 0.03524560 0.03524183 43.45869837 0.55828123 0.03507791 0.03507502 0.03508123 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