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.N.6.1b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(3,1))$	$6$	$5/6$	$3$	$81$	$2430$	$76545$	$2480058$	$2480058$	$3$	$21$	$216$	$2673$	$35478$	$485028$	$28$	$7860$	$2575810$		✓	$[1, 3, 16, 13, 30, 214, 244, 393, 699, 299, 142, 1509, 1896, 4759, 9858, 5109, 5295, 13054, 11634, 3395]$
1.6.N.6.2a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(3,1))$	$6$	$5/6$	$3$	$81$	$2430$	$76545$	$2480058$	$2480058$	$2$	$18$	$207$	$2646$	$35397$	$484785$	$28$	$7860$	$2575810$		✓	$[1, 3, 15, 13, 27, 214, 243, 381, 699, 294, 142, 1506, 1896, 4759, 9858, 5109, 5268, 13054, 11622, 3395]$
1.6.N.24.12a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(2,2))$	$24$	$5/6$	$1$	$21$	$610$	$19145$	$620046$	$620046$	$1$	$7$	$58$	$681$	$8906$	$121366$	$8$	$1972$	$644030$		✓	$[1, 1, 6, 5, 10, 54, 66, 107, 177, 91, 38, 381, 488, 1193, 2466, 1297, 1343, 3294, 2938, 895]$
1.6.N.24.13a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(2,2))$	$24$	$5/6$	$1$	$21$	$610$	$19145$	$620046$	$620046$	$1$	$6$	$56$	$674$	$8886$	$121305$	$8$	$1972$	$644030$		✓	$[1, 1, 5, 5, 9, 54, 65, 103, 177, 86, 38, 378, 488, 1193, 2466, 1297, 1334, 3294, 2926, 895]$
1.6.N.42.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(1,7))$	$42$	$5/6$	$1$	$15$	$370$	$11095$	$355446$	$355446$	$1$	$5$	$38$	$409$	$5176$	$69734$	$6$	$1158$	$368910$		✓	$[1, 1, 4, 3, 6, 32, 37, 60, 101, 46, 22, 217, 272, 681, 1411, 731, 767, 1866, 1667, 489]$
1.6.N.96.64a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(4,4))$	$96$	$5/6$	$1$	$15$	$310$	$7525$	$204246$	$204246$	$1$	$5$	$34$	$319$	$3456$	$40904$	$6$	$828$	$199740$		✓	$[1, 1, 4, 3, 6, 26, 27, 40, 59, 30, 16, 129, 148, 347, 686, 349, 367, 866, 768, 233]$
1.6.N.96.72a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(4,4))$	$96$	$5/6$	$1$	$15$	$310$	$7525$	$204246$	$204246$	$1$	$5$	$35$	$322$	$3466$	$40934$	$6$	$828$	$199740$		✓	$[1, 1, 4, 3, 6, 26, 27, 41, 59, 29, 16, 128, 148, 347, 686, 349, 369, 866, 765, 233]$