# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.10471976 3.62909925 0.79594470 0.79653964 0.79481990 0.79638400 0.31415927 3.34600887 0.70195092 0.70197555 0.69990213 0.70390854 0.52359878 3.07151163 0.61838733 0.61841161 0.61698711 0.61968673 0.73303829 2.89228924 0.56005262 0.56011750 0.55917658 0.56082760 0.94247780 2.76410757 0.51609408 0.51616372 0.51552748 0.51656023 1.15191731 2.66348440 0.48070482 0.48076455 0.48031850 0.48099590 1.36135682 2.57940214 0.45103112 0.45108980 0.45076591 0.45122185 1.57079633 2.50604260 0.42545683 0.42550841 0.42526626 0.42558842 1.78023584 2.43995783 0.40292544 0.40297277 0.40278746 0.40302054 1.98967535 2.37960812 0.38288623 0.38292508 0.38278072 0.38295790 2.19911486 2.32354996 0.36481367 0.36484255 0.36472842 0.36486977 2.40855437 2.27113916 0.34840917 0.34843142 0.34834030 0.34845435 2.61799388 2.22195096 0.33345284 0.33347148 0.33339824 0.33348999 2.82743339 2.17557189 0.31974184 0.31975623 0.31969720 0.31977278 3.03687290 2.13169701 0.30711051 0.30712064 0.30707300 0.30713665 3.24631241 2.08994187 0.29539382 0.29540035 0.29536196 0.29541609 3.45575192 2.05032026 0.28454583 0.28455130 0.28452055 0.28456485 3.66519143 2.01264204 0.27446528 0.27446929 0.27444486 0.27448153 3.87463094 1.97678261 0.26507864 0.26507987 0.26506074 0.26509262 4.08407045 1.94250054 0.25628631 0.25628715 0.25627244 0.25629833 4.29350996 1.90984837 0.24807972 0.24807945 0.24806848 0.24809003 4.50294947 1.87849604 0.24034750 0.24034647 0.24033868 0.24035632 4.71238898 1.84849233 0.23308390 0.23308202 0.23307696 0.23309145 4.92182849 1.81977506 0.22625274 0.22625039 0.22624766 0.22625915 5.13126800 1.79210372 0.21977987 0.21977753 0.21977681 0.21978528 5.34070751 1.76571984 0.21371474 0.21371210 0.21371312 0.21371929 5.55014702 1.74033905 0.20797158 0.20796848 0.20797100 0.20797538 5.75958653 1.71592103 0.20253102 0.20252742 0.20253123 0.20253416 5.96902604 1.69233980 0.19735511 0.19735101 0.19735598 0.19735769 6.17846555 1.66948514 0.19240584 0.19240148 0.19240746 0.19240791 6.38790506 1.64757899 0.18773579 0.18773129 0.18773814 0.18773742 6.59734457 1.62651301 0.18331057 0.18330601 0.18331361 0.18331180 6.80678408 1.60597971 0.17904793 0.17904321 0.17905148 0.17904883 7.01622359 1.58614469 0.17498642 0.17498148 0.17499034 0.17498702 7.22566310 1.56700844 0.17112300 0.17111791 0.17112731 0.17112335 7.43510261 1.54844509 0.16742073 0.16741562 0.16742547 0.16742084 7.64454212 1.53029821 0.16383907 0.16383399 0.16384425 0.16383898 7.85398163 1.51279986 0.16043464 0.16042948 0.16044011 0.16043439 8.06342114 1.49583179 0.15717370 0.15716842 0.15717935 0.15717330 8.27286065 1.47940359 0.15405748 0.15405215 0.15406337 0.15405695 8.48230016 1.46325942 0.15101980 0.15101438 0.15102585 0.15101915 8.69173967 1.44765678 0.14812398 0.14811853 0.14813021 0.14812323 8.90117919 1.43251600 0.14534873 0.14534323 0.14535510 0.14534789 9.11061870 1.41765011 0.14264694 0.14264140 0.14265345 0.14264603 9.32005821 1.40316465 0.14004289 0.14003734 0.14004953 0.14004191 9.52949772 1.38917187 0.13756364 0.13755805 0.13757037 0.13756261 9.73893723 1.37549964 0.13516516 0.13515951 0.13517194 0.13516409 9.94837674 1.36204384 0.13282152 0.13281585 0.13282837 0.13282041 10.15781625 1.34886405 0.13054653 0.13054084 0.13055345 0.13054539 10.36725576 1.33608927 0.12837143 0.12836569 0.12837836 0.12837028 10.57669527 1.32359301 0.12626446 0.12625866 0.12627139 0.12626328 10.78613478 1.31140574 0.12423263 0.12422683 0.12423962 0.12423141 10.99557429 1.29945618 0.12225754 0.12225174 0.12226457 0.12225631 11.20501380 1.28770591 0.12032956 0.12032375 0.12033661 0.12032831 11.41445331 1.27625451 0.11847309 0.11846730 0.11848018 0.11847183 11.62389282 1.26509320 0.11668519 0.11667941 0.11669230 0.11668394 11.83333233 1.25410608 0.11493694 0.11493115 0.11494404 0.11493569 12.04277184 1.24341010 0.11325693 0.11325112 0.11326401 0.11325568 12.25221135 1.23287231 0.11161206 0.11160623 0.11161912 0.11161081 12.46165086 1.22261052 0.11003141 0.11002560 0.11003847 0.11003016 12.67109037 1.21254453 0.10849481 0.10848901 0.10850187 0.10849356 12.88052988 1.20262729 0.10699046 0.10698468 0.10699751 0.10698921 13.08996939 1.19289294 0.10552674 0.10552097 0.10553378 0.10552551 13.29940890 1.18326891 0.10408560 0.10407983 0.10409260 0.10408437 13.50884841 1.17379738 0.10267730 0.10267155 0.10268429 0.10267608 13.71828792 1.16464339 0.10134223 0.10133649 0.10134920 0.10134101 13.92772743 1.15562310 0.10003509 0.10002936 0.10004202 0.10003388 14.13716694 1.14665633 0.09873619 0.09873048 0.09874309 0.09873499 14.34660645 1.13784510 0.09747050 0.09746479 0.09747737 0.09746931 14.55604596 1.12918824 0.09623759 0.09623189 0.09624443 0.09623640 14.76548547 1.12067093 0.09503374 0.09502808 0.09504057 0.09503256 14.97492498 1.11238483 0.09388129 0.09387564 0.09388809 0.09388012 15.18436449 1.10428044 0.09276801 0.09276239 0.09277478 0.09276685 15.39380400 1.09622701 0.09166202 0.09165642 0.09166876 0.09166088 15.60324351 1.08832258 0.09058707 0.09058148 0.09059377 0.09058593 15.81268302 1.08052156 0.08953202 0.08952646 0.08953869 0.08953089 16.02212253 1.07279867 0.08849092 0.08848540 0.08849757 0.08848979 16.23156204 1.06520380 0.08747581 0.08747031 0.08748243 0.08747470 16.44100155 1.05771792 0.08648193 0.08647645 0.08648851 0.08648084 16.65044106 1.05038749 0.08552054 0.08551506 0.08552706 0.08551946 16.85988057 1.04321432 0.08459202 0.08458657 0.08459851 0.08459095 17.06932008 1.03609702 0.08367180 0.08366638 0.08367826 0.08367074 17.27875959 1.02901465 0.08275484 0.08274945 0.08276127 0.08275377 17.48819910 1.02199691 0.08184833 0.08184298 0.08185473 0.08184728 17.69763862 1.01509216 0.08096400 0.08095867 0.08097037 0.08096296 17.90707813 1.00834910 0.08011365 0.08010834 0.08011996 0.08011263 18.11651764 1.00176124 0.07929569 0.07929039 0.07930196 0.07929469 18.32595715 0.99525394 0.07849200 0.07848673 0.07849823 0.07849101 18.53539666 0.98879638 0.07769515 0.07768991 0.07770135 0.07769416 18.74483617 0.98239327 0.07690633 0.07690114 0.07691251 0.07690535 18.95427568 0.97608390 0.07613500 0.07612985 0.07614116 0.07613404 19.16371519 0.96990444 0.07538989 0.07538478 0.07539603 0.07538894 19.37315470 0.96380894 0.07465994 0.07465486 0.07466605 0.07465900 19.58259421 0.95775322 0.07393450 0.07392944 0.07394057 0.07393357 19.79203372 0.95175436 0.07321771 0.07321268 0.07322374 0.07321679 20.00147323 0.94582390 0.07251240 0.07250739 0.07251838 0.07251148 20.21091274 0.93998165 0.07182337 0.07181837 0.07182930 0.07182245 20.42035225 0.93421015 0.07114644 0.07114146 0.07115234 0.07114553 20.62979176 0.92847814 0.07047409 0.07046914 0.07047995 0.07047319 20.83923127 0.92283872 0.06981911 0.06981419 0.06982494 0.06981822 21.04867078 0.91731366 0.06918676 0.06918186 0.06919255 0.06918588 21.25811029 0.91185962 0.06856659 0.06856171 0.06857234 0.06856572 21.46754980 0.90644114 0.06795010 0.06794524 0.06795582 0.06794924 21.67698931 0.90105663 0.06733696 0.06733213 0.06734264 0.06733610 21.88642882 0.89574970 0.06673770 0.06673290 0.06674336 0.06673685 22.09586833 0.89055464 0.06616060 0.06615583 0.06616623 0.06615975 22.30530784 0.88543940 0.06559795 0.06559322 0.06560355 0.06559710 22.51474735 0.88038329 0.06504479 0.06504009 0.06505036 0.06504395 22.72418686 0.87538992 0.06450202 0.06449733 0.06450755 0.06450119 22.93362637 0.87043125 0.06396293 0.06395827 0.06396843 0.06396212 23.14306588 0.86549027 0.06342348 0.06341884 0.06342893 0.06342267 23.35250539 0.86058396 0.06288776 0.06288315 0.06289318 0.06288696 23.56194490 0.85573218 0.06236058 0.06235601 0.06236598 0.06235979 23.77138441 0.85096603 0.06184944 0.06184489 0.06185481 0.06184866 23.98082392 0.84632850 0.06136467 0.06136014 0.06137001 0.06136389 24.19026343 0.84180046 0.06090170 0.06089719 0.06090700 0.06090092 24.39970294 0.83730901 0.06044307 0.06043858 0.06044834 0.06044230 24.60914245 0.83282473 0.05998176 0.05997729 0.05998700 0.05998100 24.81858196 0.82836515 0.05952201 0.05951757 0.05952722 0.05952125 25.02802147 0.82394616 0.05906765 0.05906324 0.05907284 0.05906690 25.23746098 0.81957194 0.05861973 0.05861534 0.05862488 0.05861898 25.44690049 0.81524249 0.05817826 0.05817389 0.05818339 0.05817752 25.65634000 0.81095716 0.05774314 0.05773879 0.05774823 0.05774240 25.86577951 0.80671530 0.05731422 0.05730989 0.05731928 0.05731349 26.07521902 0.80251623 0.05689138 0.05688708 0.05689641 0.05689065 26.28465854 0.79835931 0.05647449 0.05647022 0.05647950 0.05647378 26.49409805 0.79424392 0.05606345 0.05605919 0.05606843 0.05606274 26.70353756 0.79016943 0.05565812 0.05565389 0.05566307 0.05565741 26.91297707 0.78613523 0.05525839 0.05525418 0.05526332 0.05525769 27.12241658 0.78214074 0.05486416 0.05485997 0.05486906 0.05486347 27.33185609 0.77818537 0.05447531 0.05447115 0.05448018 0.05447462 27.54129560 0.77426854 0.05409174 0.05408760 0.05409658 0.05409106 27.75073511 0.77038971 0.05371335 0.05370923 0.05371816 0.05371267 27.96017462 0.76654833 0.05334003 0.05333593 0.05334482 0.05333935 28.16961413 0.76274385 0.05297169 0.05296761 0.05297645 0.05297102 28.37905364 0.75897576 0.05260823 0.05260417 0.05261296 0.05260756 28.58849315 0.75524353 0.05224956 0.05224552 0.05225427 0.05224890 28.79793266 0.75154667 0.05189559 0.05189157 0.05190027 0.05189493 29.00737217 0.74788468 0.05154623 0.05154223 0.05155088 0.05154557 29.21681168 0.74425707 0.05120139 0.05119741 0.05120602 0.05120074 29.42625119 0.74066336 0.05086099 0.05085704 0.05086559 0.05086035 29.63569070 0.73710310 0.05052495 0.05052102 0.05052953 0.05052431 29.84513021 0.73357581 0.05019318 0.05018927 0.05019774 0.05019255 30.05456972 0.73008105 0.04986562 0.04986173 0.04987015 0.04986499 30.26400923 0.72661838 0.04954218 0.04953831 0.04954669 0.04954155 30.47344874 0.72318736 0.04922279 0.04921894 0.04922727 0.04922217 30.68288825 0.71978757 0.04890737 0.04890354 0.04891183 0.04890675 30.89232776 0.71641858 0.04859586 0.04859204 0.04860029 0.04859524 31.10176727 0.71307997 0.04828818 0.04828438 0.04829259 0.04828757 31.31120678 0.70977136 0.04798426 0.04798049 0.04798865 0.04798366 31.52064629 0.70649232 0.04768404 0.04768029 0.04768841 0.04768344 31.73008580 0.70324248 0.04738746 0.04738372 0.04739180 0.04738686 31.93952531 0.70002143 0.04709444 0.04709072 0.04709875 0.04709384 32.14896482 0.69682882 0.04680492 0.04680122 0.04680922 0.04680433 32.35840433 0.69366426 0.04651885 0.04651517 0.04652312 0.04651827 32.56784384 0.69052738 0.04623617 0.04623250 0.04624042 0.04623558 32.77728335 0.68741784 0.04595681 0.04595316 0.04596103 0.04595623 32.98672286 0.68433527 0.04568071 0.04567709 0.04568492 0.04568014 33.19616237 0.68127934 0.04540784 0.04540423 0.04541202 0.04540726 33.40560188 0.67824969 0.04513812 0.04513452 0.04514228 0.04513755 33.61504139 0.67524600 0.04487150 0.04486793 0.04487564 0.04487094 33.82448090 0.67226793 0.04460794 0.04460438 0.04461206 0.04460738 34.03392041 0.66931517 0.04434738 0.04434384 0.04435148 0.04434682 34.24335992 0.66638740 0.04408977 0.04408625 0.04409385 0.04408921 34.45279943 0.66348429 0.04383506 0.04383156 0.04383912 0.04383451 34.66223894 0.66060556 0.04358322 0.04357973 0.04358725 0.04358267 34.87167845 0.65775088 0.04333418 0.04333071 0.04333819 0.04333363 35.08111797 0.65491998 0.04308790 0.04308444 0.04309190 0.04308736 35.29055748 0.65211255 0.04284434 0.04284090 0.04284832 0.04284380 35.49999699 0.64932830 0.04260346 0.04260004 0.04260742 0.04260292 35.70943650 0.64656697 0.04236520 0.04236180 0.04236915 0.04236467 35.91887601 0.64382825 0.04212954 0.04212616 0.04213346 0.04212901 36.12831552 0.64111190 0.04189643 0.04189306 0.04190033 0.04189591 36.33775503 0.63841762 0.04166583 0.04166247 0.04166971 0.04166530 36.54719454 0.63574517 0.04143769 0.04143435 0.04144156 0.04143717 36.75663405 0.63309427 0.04121199 0.04120867 0.04121584 0.04121147 36.96607356 0.63046468 0.04098868 0.04098537 0.04099251 0.04098817 37.17551307 0.62785614 0.04076773 0.04076443 0.04077154 0.04076722 37.38495258 0.62526840 0.04054909 0.04054581 0.04055288 0.04054858 37.59439209 0.62270122 0.04033274 0.04032948 0.04033652 0.04033224 37.80383160 0.62015436 0.04011864 0.04011539 0.04012240 0.04011814 38.01327111 0.61762757 0.03990676 0.03990353 0.03991050 0.03990626 38.22271062 0.61512064 0.03969706 0.03969384 0.03970078 0.03969656 38.43215013 0.61263332 0.03948951 0.03948630 0.03949321 0.03948901 38.64158964 0.61016539 0.03928407 0.03928088 0.03928776 0.03928358 38.85102915 0.60771663 0.03908072 0.03907755 0.03908439 0.03908023 39.06046866 0.60528682 0.03887943 0.03887627 0.03888308 0.03887894 39.26990817 0.60287574 0.03868016 0.03867701 0.03868379 0.03867968 39.47934768 0.60048319 0.03848289 0.03847975 0.03848650 0.03848240 39.68878719 0.59810894 0.03828758 0.03828446 0.03829118 0.03828710 39.89822670 0.59575280 0.03809421 0.03809110 0.03809779 0.03809373 40.10766621 0.59341456 0.03790275 0.03789965 0.03790631 0.03790227 40.31710572 0.59109402 0.03771317 0.03771009 0.03771672 0.03771269 40.52654523 0.58879098 0.03752544 0.03752238 0.03752898 0.03752497 40.73598474 0.58650524 0.03733954 0.03733649 0.03734306 0.03733908 40.94542425 0.58423662 0.03715545 0.03715241 0.03715895 0.03715498 41.15486376 0.58198492 0.03697312 0.03697010 0.03697661 0.03697266 41.36430327 0.57974995 0.03679255 0.03678954 0.03679603 0.03679209 41.57374278 0.57753153 0.03661371 0.03661071 0.03661717 0.03661325 41.78318229 0.57532949 0.03643657 0.03643358 0.03644001 0.03643611 41.99262180 0.57314363 0.03626110 0.03625813 0.03626453 0.03626065 42.20206131 0.57097379 0.03608729 0.03608433 0.03609070 0.03608684 42.41150082 0.56881979 0.03591511 0.03591216 0.03591850 0.03591466 42.62094033 0.56668146 0.03574453 0.03574160 0.03574792 0.03574409 42.83037984 0.56455863 0.03557555 0.03557263 0.03557892 0.03557511 43.03981935 0.56245113 0.03540813 0.03540522 0.03541148 0.03540769 43.24925886 0.56035881 0.03524225 0.03523935 0.03524559 0.03524181 43.45869837 0.55828149 0.03507790 0.03507501 0.03508122 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