Sato-Tate group search results

Results (3 matches)

 

Label	Wt	Deg	$\mathrm{dim}_{\mathbb{R}}$	$\mathrm{G}^0$	Name	$\mathrm{G}/\mathrm{G}^0$	$\mathrm{Pr}[t\!=\!0]$	$\mathrm{E}[a_1^2]$	$\mathrm{E}[a_1^4]$	$\mathrm{E}[a_1^6]$	$\mathrm{E}[a_1^8]$	$\mathrm{E}[a_1^{10}]$	$\mathrm{E}[a_1^{12}]$	$\mathrm{E}[a_2]$	$\mathrm{E}[a_2^2]$	$\mathrm{E}[a_2^3]$	$\mathrm{E}[a_2^4]$	$\mathrm{E}[a_2^5]$	$\mathrm{E}[a_2^6]$	$\mathrm{E}[a_3^2]$	$\mathrm{E}[a_3^4]$	$\mathrm{E}[a_3^6]$	Maximal	Rational	Diagonal
1.6.M.6.1a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(D_3)$	$6$	$1/3$	$2$	$28$	$610$	$15316$	$413364$	$413364$	$2$	$10$	$74$	$706$	$7662$	$88950$	$12$	$1850$	$426888$		✓	$[1, 2, 7, 6, 10, 54, 59, 88, 136, 57, 30, 258, 312, 724, 1410, 678, 712, 1622, 1328, 364]$
1.6.M.8.3a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(D_4)$	$8$	$0$	$2$	$22$	$460$	$11494$	$310044$	$310044$	$2$	$9$	$59$	$539$	$5772$	$66783$	$9$	$1388$	$320178$		✓	$[1, 2, 6, 5, 9, 40, 46, 70, 103, 46, 23, 195, 237, 544, 1056, 513, 539, 1220, 1002, 277]$
1.6.M.12.4a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(D_6)$	$12$	$1/6$	$2$	$20$	$360$	$8260$	$213864$	$213864$	$2$	$8$	$48$	$402$	$4087$	$45972$	$8$	$994$	$217328$	✓	✓	$[1, 2, 5, 4, 8, 30, 33, 50, 70, 33, 18, 134, 162, 366, 708, 346, 364, 818, 672, 190]$