# omega total a= 1 L= 2 a= 2 L= 2 a= 3 L= 2 a= 4 L= 2 0.20943951 3.42223157 0.73146916 0.73169888 0.72952002 0.73341563 0.62831853 2.95069749 0.58138926 0.58143926 0.58033724 0.58235889 1.04719755 2.70123466 0.49491372 0.49498144 0.49447477 0.49526724 1.46607657 2.53492990 0.43594692 0.43600999 0.43574290 0.43609893 1.88495559 2.40361062 0.39109278 0.39113345 0.39097740 0.39117182 2.30383461 2.29248339 0.35518111 0.35520678 0.35510932 0.35522961 2.72271363 2.19442079 0.32534282 0.32535816 0.32529525 0.32537576 3.14159265 2.10665239 0.30007519 0.30008268 0.30004180 0.30009878 3.56047167 2.02788566 0.27848878 0.27849360 0.27846738 0.27850602 3.97935069 1.95607043 0.25968024 0.25968105 0.25966507 0.25969294 4.39822972 1.89067762 0.24324218 0.24324215 0.24323339 0.24325155 4.81710874 1.83091819 0.22877880 0.22877704 0.22877354 0.22878563 5.23598776 1.77587163 0.21591262 0.21591046 0.21591088 0.21591746 5.65486678 1.72442946 0.20426111 0.20425787 0.20426124 0.20426450 6.07374580 1.67771976 0.19403301 0.19402919 0.19403479 0.19403526 6.49262482 1.63409134 0.18474334 0.18473916 0.18474644 0.18474473 6.91150384 1.59351263 0.17634764 0.17634305 0.17635165 0.17634835 7.33038286 1.55496673 0.16855254 0.16854768 0.16855731 0.16855272 7.74926188 1.51877473 0.16141819 0.16141319 0.16142360 0.16141799 8.16814090 1.48521527 0.15499046 0.15498562 0.15499661 0.15498994 8.58701992 1.45319625 0.14898635 0.14898096 0.14899244 0.14898560 9.00589894 1.42278708 0.14340627 0.14340062 0.14341247 0.14340535 9.42477796 1.39438152 0.13834099 0.13833528 0.13834742 0.13833993 9.84365698 1.36697321 0.13353000 0.13352430 0.13353663 0.13352887 10.26253600 1.34062720 0.12898522 0.12897950 0.12899200 0.12898403 10.68141502 1.31532503 0.12469544 0.12468976 0.12470237 0.12469421 11.10029404 1.29173774 0.12082387 0.12081832 0.12083098 0.12082260 11.51917306 1.26884529 0.11711378 0.11710808 0.11712075 0.11711252 11.93805208 1.24648678 0.11352312 0.11351744 0.11353015 0.11352180 12.35693110 1.22533273 0.11021670 0.11021110 0.11022383 0.11021536 12.77581012 1.20519843 0.10714474 0.10713914 0.10715181 0.10714345 13.19468915 1.18570997 0.10421415 0.10420852 0.10422115 0.10421290 13.61356817 1.16734861 0.10154130 0.10153570 0.10154826 0.10154006 14.03244719 1.14950860 0.09897709 0.09897148 0.09898396 0.09897587 14.45132621 1.13168624 0.09639742 0.09639193 0.09640430 0.09639622 14.87020523 1.11444643 0.09394062 0.09393514 0.09394742 0.09393945 15.28908425 1.09812216 0.09168668 0.09168131 0.09169347 0.09168556 15.70796327 1.08216177 0.08950084 0.08949549 0.08950756 0.08949975 16.12684229 1.06688232 0.08745977 0.08745439 0.08746637 0.08745867 16.54572131 1.05166360 0.08541281 0.08540736 0.08541925 0.08541168 16.96460033 1.03730831 0.08355445 0.08354909 0.08356087 0.08355331 17.38347935 1.02337501 0.08177740 0.08177215 0.08178379 0.08177630 17.80235837 1.00984174 0.08007648 0.08007132 0.08008281 0.08007541 18.22123739 0.99665453 0.07843833 0.07843314 0.07844453 0.07843726 18.64011641 0.98357604 0.07680582 0.07680071 0.07681199 0.07680478 19.05899543 0.97105492 0.07528729 0.07528220 0.07529336 0.07528626 19.47787445 0.95900055 0.07386098 0.07385594 0.07386697 0.07385997 19.89675347 0.94730590 0.07250113 0.07249614 0.07250705 0.07250014 20.31563249 0.93590227 0.07119126 0.07118632 0.07119711 0.07119028 20.73451151 0.92476422 0.06992539 0.06992050 0.06993118 0.06992443 21.15339053 0.91388218 0.06870140 0.06869656 0.06870712 0.06870046 21.57226955 0.90324733 0.06751737 0.06751259 0.06752303 0.06751645 21.99114858 0.89285128 0.06637148 0.06636675 0.06637708 0.06637057 22.41002760 0.88268593 0.06526200 0.06525732 0.06526753 0.06526111 22.82890662 0.87274353 0.06418728 0.06418266 0.06419275 0.06418640 23.24778564 0.86301670 0.06314579 0.06314121 0.06315119 0.06314492 23.66666466 0.85349840 0.06213605 0.06213152 0.06214139 0.06213520 24.08554368 0.84418193 0.06115670 0.06115222 0.06116198 0.06115586 24.50442270 0.83506088 0.06020644 0.06020201 0.06021166 0.06020561 24.92330172 0.82612913 0.05928404 0.05927966 0.05928920 0.05928322 25.34218074 0.81738082 0.05838834 0.05838400 0.05839344 0.05838754 25.76105976 0.80881036 0.05751824 0.05751396 0.05752329 0.05751745 26.17993878 0.80041238 0.05667271 0.05666847 0.05667770 0.05667194 26.59881780 0.79218176 0.05585077 0.05584657 0.05585570 0.05585000 27.01769682 0.78411355 0.05505147 0.05504732 0.05505635 0.05505072 27.43657584 0.77620305 0.05427394 0.05426984 0.05427876 0.05427320 27.85545486 0.76844571 0.05351733 0.05351327 0.05352210 0.05351660 28.27433388 0.76083715 0.05278084 0.05277682 0.05278556 0.05278012 28.69321290 0.75337316 0.05206370 0.05205973 0.05206837 0.05206299 29.11209192 0.74604964 0.05136519 0.05136126 0.05136980 0.05136449 29.53097094 0.73886269 0.05068459 0.05068070 0.05068916 0.05068390 29.94984996 0.73180852 0.05002125 0.05001740 0.05002577 0.05002057 30.36872898 0.72488352 0.04937454 0.04937073 0.04937901 0.04937387 30.78760801 0.71808418 0.04874385 0.04874008 0.04874827 0.04874319 31.20648703 0.71140715 0.04812862 0.04812489 0.04813299 0.04812796 31.62536605 0.70484918 0.04752828 0.04752459 0.04753261 0.04752764 32.04424507 0.69840714 0.04694234 0.04693868 0.04694662 0.04694170 32.46312409 0.69207802 0.04637027 0.04636666 0.04637451 0.04636964 32.88200311 0.68585890 0.04581162 0.04580804 0.04581582 0.04581100 33.30088213 0.67974698 0.04526593 0.04526238 0.04527008 0.04526531 33.71976115 0.67373954 0.04473276 0.04472925 0.04473687 0.04473215 34.13864017 0.66783397 0.04421170 0.04420822 0.04421577 0.04421110 34.55751919 0.66202772 0.04370235 0.04369890 0.04370638 0.04370175 34.97639821 0.65631835 0.04320433 0.04320092 0.04320832 0.04320374 35.39527723 0.65070350 0.04271728 0.04271390 0.04272123 0.04271670 35.81415625 0.64518085 0.04224085 0.04223750 0.04224476 0.04224028 36.23303527 0.63974821 0.04177471 0.04177139 0.04177858 0.04177414 36.65191429 0.63440341 0.04131853 0.04131524 0.04132236 0.04131797 37.07079331 0.62914437 0.04087200 0.04086875 0.04087580 0.04087145 37.48967233 0.62396905 0.04043483 0.04043161 0.04043859 0.04043428 37.90855135 0.61887549 0.04000673 0.04000353 0.04001046 0.04000619 38.32743037 0.61386178 0.03958742 0.03958426 0.03959112 0.03958689 38.74630939 0.60892608 0.03917664 0.03917351 0.03918030 0.03917611 39.16518841 0.60406661 0.03877415 0.03877104 0.03877777 0.03877362 39.58406744 0.59928161 0.03837968 0.03837660 0.03838327 0.03837916 40.00294646 0.59456942 0.03799301 0.03798996 0.03799657 0.03799250 40.42182548 0.58992840 0.03761392 0.03761089 0.03761745 0.03761341 40.84070450 0.58535696 0.03724218 0.03723918 0.03724568 0.03724168 41.25958352 0.58085357 0.03687759 0.03687462 0.03688106 0.03687709 41.67846254 0.57641674 0.03651995 0.03651700 0.03652338 0.03651946 42.09734156 0.57204501 0.03616906 0.03616614 0.03617247 0.03616857 42.51622058 0.56773699 0.03582474 0.03582184 0.03582811 0.03582425 42.93509960 0.56349129 0.03548680 0.03548393 0.03549015 0.03548633 43.35397862 0.55930660 0.03515508 0.03515224 0.03515840 0.03515461 43.77285764 0.55518162 0.03482941 0.03482659 0.03483270 0.03482894 44.19173666 0.55111510 0.03450963 0.03450683 0.03451289 0.03450916 44.61061568 0.54710581 0.03419557 0.03419279 0.03419881 0.03419511 45.02949470 0.54315258 0.03388710 0.03388434 0.03389031 0.03388664 45.44837372 0.53925424 0.03358406 0.03358133 0.03358724 0.03358361 45.86725274 0.53540967 0.03328632 0.03328361 0.03328947 0.03328587 46.28613176 0.53161779 0.03299373 0.03299104 0.03299686 0.03299329 46.70501078 0.52787752 0.03270618 0.03270351 0.03270929 0.03270574 47.12388980 0.52418783 0.03242353 0.03242089 0.03242661 0.03242310 47.54276882 0.52054771 0.03214566 0.03214304 0.03214872 0.03214523 47.96164784 0.51695618 0.03187246 0.03186985 0.03187549 0.03187203 48.38052687 0.51341229 0.03160380 0.03160122 0.03160681 0.03160337 48.79940589 0.50991508 0.03133958 0.03133701 0.03134256 0.03133916 49.21828491 0.50646367 0.03107968 0.03107714 0.03108264 0.03107926 49.63716393 0.50305715 0.03082401 0.03082148 0.03082695 0.03082359 50.05604295 0.49969467 0.03057246 0.03056995 0.03057538 0.03057205 50.47492197 0.49637538 0.03032493 0.03032245 0.03032783 0.03032453 50.89380099 0.49309847 0.03008134 0.03007887 0.03008421 0.03008093 51.31268001 0.48986312 0.02984158 0.02983913 0.02984443 0.02984118 51.73155903 0.48666858 0.02960557 0.02960313 0.02960840 0.02960517 52.15043805 0.48351406 0.02937322 0.02937080 0.02937603 0.02937282 52.56931707 0.48039883 0.02914445 0.02914205 0.02914724 0.02914406 52.98819609 0.47732218 0.02891917 0.02891679 0.02892194 0.02891879 53.40707511 0.47428338 0.02869732 0.02869496 0.02870007 0.02869693 53.82595413 0.47128176 0.02847881 0.02847646 0.02848153 0.02847842 54.24483315 0.46831664 0.02826356 0.02826123 0.02826627 0.02826318 54.66371217 0.46538736 0.02805151 0.02804920 0.02805420 0.02805113 55.08259119 0.46249329 0.02784259 0.02784029 0.02784526 0.02784221 55.50147021 0.45963380 0.02763672 0.02763444 0.02763937 0.02763635 55.92034923 0.45680827 0.02743384 0.02743158 0.02743648 0.02743348 56.33922825 0.45401612 0.02723390 0.02723165 0.02723651 0.02723353 56.75810727 0.45125676 0.02703682 0.02703458 0.02703941 0.02703645 57.17698630 0.44852963 0.02684254 0.02684032 0.02684512 0.02684218 57.59586532 0.44583416 0.02665101 0.02664880 0.02665357 0.02665065 58.01474434 0.44316981 0.02646217 0.02645998 0.02646471 0.02646181 58.43362336 0.44053606 0.02627596 0.02627378 0.02627849 0.02627561 58.85250238 0.43793238 0.02609233 0.02609017 0.02609484 0.02609198 59.27138140 0.43535827 0.02591123 0.02590908 0.02591372 0.02591088 59.69026042 0.43281323 0.02573260 0.02573047 0.02573508 0.02573226 60.10913944 0.43029678 0.02555640 0.02555428 0.02555886 0.02555606 60.52801846 0.42780844 0.02538258 0.02538047 0.02538502 0.02538224 60.94689748 0.42534775 0.02521108 0.02520899 0.02521351 0.02521075 61.36577650 0.42291426 0.02504187 0.02503979 0.02504429 0.02504154 61.78465552 0.42050752 0.02487490 0.02487283 0.02487730 0.02487457 62.20353454 0.41812710 0.02471012 0.02470807 0.02471250 0.02470979 62.62241356 0.41577258 0.02454749 0.02454545 0.02454986 0.02454717 63.04129258 0.41344353 0.02438698 0.02438495 0.02438933 0.02438665 63.46017160 0.41113955 0.02422853 0.02422652 0.02423087 0.02422821 63.87905062 0.40886024 0.02407212 0.02407012 0.02407444 0.02407180 64.29792964 0.40660521 0.02391769 0.02391570 0.02392001 0.02391737 64.71680866 0.40437408 0.02376523 0.02376325 0.02376752 0.02376491 65.13568768 0.40216648 0.02361467 0.02361271 0.02361696 0.02361436 65.55456670 0.39998204 0.02346600 0.02346405 0.02346827 0.02346569 65.97344573 0.39782039 0.02331918 0.02331724 0.02332143 0.02331887 66.39232475 0.39568120 0.02317417 0.02317224 0.02317641 0.02317386 66.81120377 0.39356411 0.02303094 0.02302902 0.02303317 0.02303063 67.23008279 0.39146879 0.02288946 0.02288755 0.02289167 0.02288915 67.64896181 0.38939491 0.02274969 0.02274779 0.02275189 0.02274938 68.06784083 0.38734215 0.02261161 0.02260972 0.02261380 0.02261130 68.48671985 0.38531018 0.02247518 0.02247330 0.02247735 0.02247488 68.90559887 0.38329870 0.02234038 0.02233851 0.02234254 0.02234008 69.32447789 0.38130740 0.02220717 0.02220532 0.02220932 0.02220687 69.74335691 0.37933598 0.02207553 0.02207369 0.02207767 0.02207524 70.16223593 0.37738416 0.02194544 0.02194361 0.02194757 0.02194515 70.58111495 0.37545164 0.02181686 0.02181504 0.02181897 0.02181657 70.99999397 0.37353815 0.02168977 0.02168795 0.02169187 0.02168948 71.41887299 0.37164340 0.02156414 0.02156233 0.02156623 0.02156385 71.83775201 0.36976714 0.02143995 0.02143815 0.02144203 0.02143966 72.25663103 0.36790908 0.02131717 0.02131539 0.02131924 0.02131688 72.67551005 0.36606897 0.02119578 0.02119401 0.02119784 0.02119550 73.09438907 0.36424657 0.02107576 0.02107400 0.02107780 0.02107548 73.51326809 0.36244160 0.02095708 0.02095533 0.02095912 0.02095680 73.93214711 0.36065384 0.02083973 0.02083798 0.02084175 0.02083945 74.35102613 0.35888304 0.02072367 0.02072193 0.02072568 0.02072339 74.76990516 0.35712896 0.02060889 0.02060716 0.02061089 0.02060861 75.18878418 0.35539137 0.02049537 0.02049365 0.02049736 0.02049509 75.60766320 0.35367004 0.02038308 0.02038138 0.02038506 0.02038281 76.02654222 0.35196475 0.02027202 0.02027032 0.02027399 0.02027175 76.44542124 0.35027528 0.02016215 0.02016046 0.02016410 0.02016188 76.86430026 0.34860141 0.02005345 0.02005177 0.02005540 0.02005319 77.28317928 0.34694293 0.01994592 0.01994425 0.01994786 0.01994566 77.70205830 0.34529964 0.01983953 0.01983787 0.01984146 0.01983927 78.12093732 0.34367132 0.01973426 0.01973261 0.01973618 0.01973400 78.53981634 0.34205778 0.01963010 0.01962845 0.01963201 0.01962984 78.95869536 0.34045883 0.01952703 0.01952539 0.01952893 0.01952677 79.37757438 0.33887426 0.01942502 0.01942340 0.01942691 0.01942477 79.79645340 0.33730388 0.01932408 0.01932246 0.01932596 0.01932382 80.21533242 0.33574752 0.01922417 0.01922256 0.01922604 0.01922391 80.63421144 0.33420499 0.01912528 0.01912368 0.01912715 0.01912503 81.05309046 0.33267610 0.01902741 0.01902581 0.01902926 0.01902715 81.47196948 0.33116068 0.01893052 0.01892893 0.01893236 0.01893027 81.89084850 0.32965855 0.01883461 0.01883303 0.01883645 0.01883436 82.30972752 0.32816955 0.01873967 0.01873809 0.01874149 0.01873942 82.72860654 0.32669350 0.01864567 0.01864410 0.01864748 0.01864542 83.14748557 0.32523024 0.01855260 0.01855105 0.01855441 0.01855236 83.56636459 0.32377960 0.01846046 0.01845891 0.01846226 0.01846022 83.98524361 0.32234143 0.01836922 0.01836768 0.01837101 0.01836898 84.40412263 0.32091557 0.01827888 0.01827734 0.01828066 0.01827864 84.82300165 0.31950187 0.01818942 0.01818789 0.01819119 0.01818918 85.24188067 0.31810016 0.01810082 0.01809930 0.01810259 0.01810058 85.66075969 0.31671031 0.01801308 0.01801157 0.01801484 0.01801284 86.07963871 0.31533216 0.01792619 0.01792468 0.01792793 0.01792595 86.49851773 0.31396557 0.01784012 0.01783862 0.01784186 0.01783988 86.91739675 0.31261040 0.01775487 0.01775338 0.01775660 0.01775464 87.33627577 0.31126650 0.01767043 0.01766895 0.01767216 0.01767020 87.75515479 0.30993375 0.01758679 0.01758531 0.01758850 0.01758655 88.17403381 0.30861200 0.01750393 0.01750246 0.01750564 0.01750370 88.59291283 0.30730112 0.01742185 0.01742038 0.01742354 0.01742161 89.01179185 0.30600098 0.01734052 0.01733906 0.01734221 0.01734029 89.43067087 0.30471145 0.01725995 0.01725850 0.01726164 0.01725972 89.84954989 0.30343241 0.01718013 0.01717868 0.01718180 0.01717990 90.26842891 0.30216372 0.01710103 0.01709959 0.01710270 0.01710080 90.68730793 0.30090527 0.01702266 0.01702123 0.01702432 0.01702243 91.10618695 0.29965693 0.01694500 0.01694357 0.01694665 0.01694477 91.52506597 0.29841859 0.01686804 0.01686662 0.01686969 0.01686782 91.94394500 0.29719012 0.01679178 0.01679036 0.01679342 0.01679155 92.36282402 0.29597142 0.01671620 0.01671479 0.01671783 0.01671597 92.78170304 0.29476237 0.01664129 0.01663989 0.01664292 0.01664107 93.20058206 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