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.L.8.3d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{4,1})$	$8$	$0$	$3$	$30$	$630$	$16870$	$489258$	$489258$	$2$	$9$	$65$	$660$	$7742$	$96666$	$12$	$1818$	$483720$		✓	$[1, 3, 6, 7, 11, 52, 62, 87, 145, 69, 38, 308, 384, 869, 1712, 865, 872, 2096, 1774, 531]$
1.6.L.8.5d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(D_2))$	$8$	$0$	$3$	$30$	$630$	$16870$	$489258$	$489258$	$2$	$10$	$68$	$670$	$7772$	$96757$	$14$	$1842$	$484040$		✓	$[1, 3, 7, 9, 12, 52, 65, 94, 151, 87, 40, 310, 406, 873, 1712, 895, 887, 2158, 1813, 613]$