Sato-Tate group search results

Results (6 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
1.4.F.24.13a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(T)$	$24$	$5/8$	$1$	$6$	$60$	$770$	$10836$	$10836$	$1$	$3$	$7$	$29$	$121$	$612$					✓	$[1, 1, 2, 3, 4, 6, 5, 15, 16, 16]$
1.6.K.24.13a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(T)$	$24$	$0$	$2$	$14$	$185$	$3444$	$77658$	$77658$	$2$	$7$	$32$	$206$	$1702$	$16560$	$7$	$442$	$70740$		✓	$[1, 2, 4, 3, 5, 14, 14, 21, 26, 13, 10, 51, 56, 115, 204, 95, 107, 219, 170, 52]$
1.6.L.24.13a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(T),T)$	$24$	$1/2$	$2$	$21$	$340$	$7245$	$184212$	$184212$	$2$	$8$	$44$	$344$	$3352$	$37335$	$8$	$828$	$176660$		✓	$[1, 2, 5, 4, 9, 26, 28, 40, 56, 29, 18, 116, 138, 300, 588, 298, 306, 708, 606, 182]$
1.6.L.24.13b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(T))$	$24$	$0$	$3$	$24$	$350$	$7280$	$184338$	$184338$	$2$	$8$	$44$	$344$	$3352$	$37335$	$10$	$846$	$176880$		✓	$[1, 3, 5, 5, 8, 26, 29, 38, 59, 33, 20, 116, 146, 303, 588, 309, 303, 730, 615, 211]$
1.6.L.24.13c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(T)$	$24$	$1/8$	$3$	$27$	$400$	$8015$	$195048$	$195048$	$2$	$9$	$52$	$393$	$3642$	$39075$	$12$	$924$	$180500$		✓	$[1, 3, 6, 5, 8, 30, 29, 38, 57, 28, 22, 125, 142, 305, 588, 303, 302, 712, 613, 187]$
1.6.N.24.13a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(2,2))$	$24$	$5/6$	$1$	$21$	$610$	$19145$	$620046$	$620046$	$1$	$6$	$56$	$674$	$8886$	$121305$	$8$	$1972$	$644030$		✓	$[1, 1, 5, 5, 9, 54, 65, 103, 177, 86, 38, 378, 488, 1193, 2466, 1297, 1334, 3294, 2926, 895]$