Sato-Tate group search results

Results (displaying both 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.12.4a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(D_6)$	$12$	$1/6$	$2$	$20$	$360$	$8260$	$213864$	$213864$	$2$	$8$	$48$	$402$	$4087$	$45972$	$8$	$994$	$217328$	✓	✓	$[1, 2, 5, 4, 8, 30, 33, 50, 70, 33, 18, 134, 162, 366, 708, 346, 364, 818, 672, 190]$
1.6.M.24.12a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(S_4)$	$24$	$1/3$	$1$	$8$	$155$	$3836$	$103362$	$103362$	$1$	$4$	$22$	$186$	$1941$	$22308$	$4$	$466$	$106744$	✓	✓	$[1, 1, 3, 3, 4, 14, 17, 26, 35, 19, 9, 66, 81, 183, 354, 174, 186, 410, 338, 100]$