Sato-Tate group search results

Results (4 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.6.1a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_3,C_3)$	$6$	$1/2$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$2$	$12$	$96$	$968$	$10992$	$133706$	$16$	$2604$	$659860$		✓	$[1, 3, 9, 7, 15, 78, 82, 116, 195, 81, 50, 420, 498, 1161, 2300, 1133, 1157, 2760, 2349, 657]$
1.6.L.6.1b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_3)$	$6$	$0$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$2$	$12$	$96$	$968$	$10992$	$133706$	$18$	$2622$	$660060$		✓	$[1, 4, 9, 10, 16, 78, 87, 118, 200, 93, 54, 420, 520, 1166, 2300, 1160, 1160, 2802, 2368, 710]$
1.6.L.6.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{3,2},C_3)$	$6$	$1/2$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$3$	$15$	$106$	$999$	$11088$	$134000$	$16$	$2604$	$659860$		✓	$[1, 3, 10, 7, 18, 78, 83, 130, 195, 86, 50, 423, 498, 1161, 2300, 1133, 1191, 2760, 2362, 657]$
1.6.L.6.1d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{3,2})$	$6$	$0$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$3$	$15$	$106$	$999$	$11088$	$134000$	$20$	$2652$	$660500$		✓	$[1, 4, 10, 8, 15, 78, 82, 118, 196, 82, 52, 423, 500, 1166, 2300, 1138, 1164, 2762, 2353, 662]$