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.36.6a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(A(3,6))$	$36$	$5/9$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$2$	$12$	$95$	$964$	$10977$	$133679$	$16$	$2604$	$660360$		✓	$[1, 3, 9, 7, 15, 78, 82, 114, 195, 81, 50, 420, 498, 1161, 2302, 1135, 1158, 2778, 2378, 677]$
1.6.N.36.10b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(3,3))$	$36$	$5/9$	$2$	$24$	$500$	$13720$	$423612$	$423612$	$2$	$9$	$58$	$547$	$6432$	$83697$	$9$	$1455$	$436020$		✓	$[1, 2, 6, 5, 11, 41, 49, 81, 124, 64, 31, 261, 332, 801, 1653, 874, 916, 2205, 1968, 603]$
1.6.N.36.12a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(3,6))$	$36$	$5/9$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$2$	$12$	$97$	$972$	$11007$	$133779$	$16$	$2604$	$660360$		✓	$[1, 3, 9, 7, 15, 78, 82, 118, 195, 81, 50, 420, 498, 1161, 2302, 1135, 1170, 2778, 2378, 677]$
1.6.N.36.13a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(3,6))$	$36$	$5/9$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$3$	$15$	$106$	$999$	$11088$	$134022$	$16$	$2604$	$660360$		✓	$[1, 3, 10, 7, 18, 78, 83, 130, 195, 86, 50, 423, 498, 1161, 2302, 1135, 1197, 2778, 2390, 677]$
1.6.N.144.125a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(T,3))$	$144$	$5/9$	$2$	$21$	$340$	$7245$	$184212$	$184212$	$2$	$8$	$45$	$349$	$3372$	$37411$	$8$	$828$	$176810$	✓	✓	$[1, 2, 5, 4, 9, 26, 28, 43, 56, 30, 18, 117, 138, 300, 589, 298, 318, 712, 616, 186]$
1.6.N.144.127a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(T,3))$	$144$	$5/9$	$2$	$21$	$340$	$7245$	$184212$	$184212$	$2$	$8$	$44$	$344$	$3352$	$37341$	$8$	$828$	$176810$	✓	✓	$[1, 2, 5, 4, 9, 26, 28, 40, 56, 29, 18, 116, 138, 300, 589, 298, 308, 712, 613, 186]$
1.6.N.144.182a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(E(72))$	$144$	$5/9$	$1$	$6$	$110$	$3220$	$103446$	$103446$	$1$	$3$	$14$	$125$	$1516$	$20317$	$3$	$347$	$107580$		✓	$[1, 1, 2, 2, 3, 9, 13, 21, 31, 20, 7, 65, 86, 202, 411, 225, 230, 559, 498, 166]$