Sato-Tate group search results

Results (8 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.E.2.1a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$E_2$	$2$	$1/2$	$2$	$16$	$160$	$1792$	$21504$	$21504$	$1$	$6$	$17$	$78$	$322$	$1516$					✓	$[1, 2, 5, 6, 10, 14, 10, 29, 28, 30]$
1.4.E.3.1a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$E_3$	$3$	$0$	$2$	$12$	$110$	$1204$	$14364$	$14364$	$1$	$4$	$13$	$52$	$222$	$1014$					✓	$[1, 2, 3, 4, 8, 6, 8, 17, 20, 12]$
1.4.E.4.1a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$E_4$	$4$	$1/4$	$2$	$12$	$100$	$1008$	$11424$	$11424$	$1$	$4$	$11$	$46$	$182$	$824$					✓	$[1, 2, 3, 4, 6, 8, 6, 15, 16, 16]$
1.4.E.4.2a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$J(E_2)$	$4$	$3/4$	$1$	$8$	$80$	$896$	$10752$	$10752$	$1$	$4$	$10$	$42$	$166$	$768$					✓	$[1, 1, 3, 4, 5, 8, 5, 15, 14, 16]$
1.4.E.6.1a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$J(E_3)$	$6$	$1/2$	$1$	$6$	$55$	$602$	$7182$	$7182$	$1$	$3$	$8$	$29$	$116$	$517$					✓	$[1, 1, 2, 3, 4, 4, 4, 9, 10, 7]$
1.4.E.6.2a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$E_6$	$6$	$1/6$	$2$	$12$	$100$	$980$	$10584$	$10584$	$1$	$4$	$11$	$44$	$172$	$754$					✓	$[1, 2, 3, 4, 6, 6, 6, 13, 12, 12]$
1.4.E.8.3a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$J(E_4)$	$8$	$5/8$	$1$	$6$	$50$	$504$	$5712$	$5712$	$1$	$3$	$7$	$26$	$96$	$422$				✓	✓	$[1, 1, 2, 3, 3, 5, 3, 8, 8, 9]$
1.4.E.12.4a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$J(E_6)$	$12$	$7/12$	$1$	$6$	$50$	$490$	$5292$	$5292$	$1$	$3$	$7$	$25$	$91$	$387$				✓	✓	$[1, 1, 2, 3, 3, 4, 3, 7, 6, 7]$