Sato-Tate group search results

Results (7 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.6.2a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_3),C_3)$	$6$	$1/2$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$2$	$12$	$95$	$964$	$10977$	$133657$	$16$	$2604$	$659860$		✓	$[1, 3, 9, 7, 15, 78, 82, 114, 195, 81, 50, 420, 498, 1161, 2300, 1133, 1152, 2760, 2350, 657]$
1.6.L.6.2b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_{6,1},C_3)$	$6$	$1/2$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$2$	$12$	$97$	$972$	$11007$	$133757$	$16$	$2604$	$659860$		✓	$[1, 3, 9, 7, 15, 78, 82, 118, 195, 81, 50, 420, 498, 1161, 2300, 1133, 1164, 2760, 2350, 657]$
1.6.L.6.2c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(C_3))$	$6$	$0$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$2$	$12$	$95$	$964$	$10977$	$133657$	$18$	$2622$	$660080$		✓	$[1, 4, 9, 10, 16, 78, 87, 120, 204, 101, 54, 420, 528, 1166, 2300, 1172, 1167, 2844, 2395, 766]$
1.6.L.6.2d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_{6,1})$	$6$	$0$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$2$	$12$	$97$	$972$	$11007$	$133757$	$18$	$2622$	$660080$		✓	$[1, 4, 9, 10, 16, 78, 87, 116, 196, 85, 54, 420, 512, 1166, 2300, 1148, 1155, 2764, 2347, 662]$
1.6.L.6.2e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_6,C_3)$	$6$	$1/6$	$5$	$63$	$1130$	$25935$	$693630$	$693630$	$3$	$17$	$123$	$1113$	$11783$	$138071$	$24$	$2892$	$671380$		✓	$[1, 5, 12, 9, 18, 88, 87, 116, 197, 80, 54, 429, 502, 1165, 2300, 1137, 1156, 2764, 2355, 661]$
1.6.L.6.2f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_3)$	$6$	$0$	$5$	$63$	$1170$	$27055$	$716310$	$716310$	$3$	$17$	$125$	$1137$	$12013$	$140051$	$24$	$2892$	$673940$		✓	$[1, 5, 12, 9, 18, 92, 87, 120, 197, 80, 62, 453, 510, 1177, 2300, 1149, 1160, 2772, 2387, 673]$
1.6.L.6.2g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_6)$	$6$	$0$	$6$	$90$	$1860$	$44730$	$1172556$	$1172556$	$3$	$21$	$183$	$1845$	$20223$	$234131$	$32$	$4920$	$1109160$		✓	$[1, 6, 16, 14, 27, 152, 154, 204, 342, 132, 92, 741, 852, 1886, 3600, 1686, 1697, 3960, 3216, 870]$