Sato-Tate group search results

Results (10 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.6.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{3,2},C_3)$	$6$	$1/2$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$3$	$15$	$106$	$999$	$11088$	$134000$	$16$	$2604$	$659860$		✓	$[1, 3, 10, 7, 18, 78, 83, 130, 195, 86, 50, 423, 498, 1161, 2300, 1133, 1191, 2760, 2362, 657]$
1.6.L.6.2a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_3),C_3)$	$6$	$1/2$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$2$	$12$	$95$	$964$	$10977$	$133657$	$16$	$2604$	$659860$		✓	$[1, 3, 9, 7, 15, 78, 82, 114, 195, 81, 50, 420, 498, 1161, 2300, 1133, 1152, 2760, 2350, 657]$
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.8.2d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_4),C_4)$	$8$	$1/2$	$3$	$45$	$930$	$22435$	$595098$	$595098$	$2$	$12$	$95$	$934$	$10197$	$118947$	$16$	$2466$	$569440$		✓	$[1, 3, 9, 7, 15, 76, 78, 108, 173, 73, 46, 376, 432, 975, 1884, 911, 930, 2184, 1838, 517]$
1.6.L.8.3f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_4,C_4)$	$8$	$1/2$	$3$	$45$	$930$	$22435$	$595098$	$595098$	$2$	$12$	$95$	$933$	$10192$	$118926$	$16$	$2466$	$569440$		✓	$[1, 3, 9, 7, 15, 76, 78, 107, 173, 72, 46, 375, 432, 975, 1884, 911, 925, 2184, 1834, 517]$
1.6.L.8.3i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,2},C_4)$	$8$	$1/2$	$3$	$45$	$930$	$22435$	$595098$	$595098$	$3$	$15$	$105$	$964$	$10288$	$119220$	$16$	$2466$	$569440$		✓	$[1, 3, 10, 7, 18, 76, 79, 121, 173, 77, 46, 378, 432, 975, 1884, 911, 959, 2184, 1847, 517]$
1.6.L.12.4k	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_6,C_6)$	$12$	$1/2$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$2$	$12$	$95$	$932$	$10137$	$117136$	$16$	$2460$	$554580$		✓	$[1, 3, 9, 7, 15, 76, 78, 106, 171, 69, 46, 372, 426, 943, 1800, 843, 855, 1980, 1613, 435]$
1.6.L.12.4o	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,2},C_6)$	$12$	$1/2$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$3$	$15$	$105$	$963$	$10233$	$117430$	$16$	$2460$	$554580$		✓	$[1, 3, 10, 7, 18, 76, 79, 120, 171, 74, 46, 375, 426, 943, 1800, 843, 889, 1980, 1626, 435]$
1.6.L.12.5e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_6),C_6)$	$12$	$1/2$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$2$	$12$	$95$	$932$	$10137$	$117137$	$16$	$2460$	$554580$		✓	$[1, 3, 9, 7, 15, 76, 78, 106, 171, 69, 46, 372, 426, 943, 1800, 843, 856, 1980, 1614, 435]$