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
1.4.E.4.2a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$J(E_2)$	$4$	$3/4$	$1$	$8$	$80$	$896$	$10752$	$10752$	$1$	$4$	$10$	$42$	$166$	$768$					✓	$[1, 1, 3, 4, 5, 8, 5, 15, 14, 16]$
1.6.E.3.1a	$1$	$6$	$9$	$\mathrm{SU}(2)^3$	$E_{s}$	$3$	$2/3$	$1$	$8$	$95$	$1414$	$24402$	$24402$	$1$	$4$	$20$	$121$	$851$	$6703$	$5$	$244$	$24525$		✓	$[1, 1, 3, 2, 2, 8, 7, 9, 10, 4, 4, 15, 15, 30, 48, 19, 27, 40, 26, 8]$
1.6.M.24.12a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(S_4)$	$24$	$1/3$	$1$	$8$	$155$	$3836$	$103362$	$103362$	$1$	$4$	$22$	$186$	$1941$	$22308$	$4$	$466$	$106744$	✓	✓	$[1, 1, 3, 3, 4, 14, 17, 26, 35, 19, 9, 66, 81, 183, 354, 174, 186, 410, 338, 100]$