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.8.3a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,1},C_{4,1})$	$8$	$1/2$	$2$	$27$	$620$	$16835$	$489132$	$489132$	$2$	$9$	$65$	$660$	$7742$	$96666$	$9$	$1785$	$483300$		✓	$[1, 2, 6, 5, 12, 52, 60, 92, 142, 65, 35, 308, 372, 864, 1712, 849, 884, 2074, 1769, 502]$
1.6.L.8.3b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,1},D_2)$	$8$	$1/2$	$2$	$27$	$620$	$16835$	$489132$	$489132$	$2$	$9$	$65$	$660$	$7742$	$96666$	$10$	$1794$	$483400$		✓	$[1, 2, 6, 6, 12, 52, 61, 93, 144, 71, 36, 308, 382, 866, 1712, 862, 885, 2094, 1777, 528]$
1.6.L.8.3c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,1},D_{2,1})$	$8$	$1/2$	$2$	$27$	$620$	$16835$	$489132$	$489132$	$2$	$9$	$65$	$660$	$7742$	$96666$	$11$	$1809$	$483620$		✓	$[1, 2, 6, 5, 10, 52, 58, 86, 142, 63, 35, 308, 372, 866, 1712, 851, 870, 2074, 1763, 504]$
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.8.3e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_4,D_2)$	$8$	$1/4$	$3$	$33$	$660$	$17115$	$491148$	$491148$	$2$	$10$	$71$	$693$	$7912$	$97516$	$14$	$1890$	$485960$		✓	$[1, 3, 7, 7, 11, 54, 62, 87, 145, 70, 36, 307, 382, 869, 1712, 865, 869, 2094, 1774, 531]$
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.8.3g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_4)$	$8$	$0$	$4$	$48$	$940$	$22470$	$595224$	$595224$	$2$	$12$	$95$	$933$	$10192$	$118926$	$18$	$2484$	$569640$		✓	$[1, 4, 9, 10, 16, 76, 83, 109, 178, 84, 50, 375, 454, 980, 1884, 938, 928, 2226, 1853, 570]$
1.6.L.8.3h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,2},D_{2,1})$	$8$	$1/4$	$3$	$33$	$660$	$17115$	$491148$	$491148$	$3$	$13$	$81$	$724$	$8008$	$97810$	$15$	$1905$	$486180$		✓	$[1, 3, 8, 6, 12, 54, 60, 94, 143, 67, 35, 310, 372, 869, 1712, 854, 888, 2074, 1773, 507]$
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.8.3j	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{4,2})$	$8$	$0$	$4$	$48$	$940$	$22470$	$595224$	$595224$	$3$	$15$	$105$	$964$	$10288$	$119220$	$20$	$2514$	$570080$		✓	$[1, 4, 10, 8, 15, 76, 78, 109, 174, 73, 48, 378, 434, 980, 1884, 916, 932, 2186, 1838, 522]$