Sato-Tate group search results

Results (3 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.J.6.1b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_3))$	$6$	$0$	$3$	$24$	$345$	$6832$	$159264$	$159264$	$2$	$8$	$45$	$348$	$3267$	$34220$	$10$	$846$	$154620$		✓	$[1, 3, 5, 5, 8, 26, 29, 36, 55, 25, 19, 102, 121, 248, 466, 224, 220, 489, 394, 110]$
1.6.J.8.3c	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_4))$	$8$	$0$	$3$	$24$	$340$	$6454$	$142674$	$142674$	$2$	$8$	$44$	$329$	$2962$	$29790$	$10$	$780$	$129960$		✓	$[1, 3, 5, 5, 8, 25, 27, 33, 47, 26, 18, 93, 108, 205, 368, 187, 174, 396, 315, 109]$
1.6.J.12.4d	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_6))$	$12$	$0$	$3$	$24$	$340$	$6440$	$140994$	$140994$	$2$	$8$	$44$	$328$	$2932$	$29110$	$10$	$774$	$124700$		✓	$[1, 3, 5, 5, 8, 25, 27, 32, 45, 23, 18, 92, 106, 195, 340, 161, 154, 336, 256, 85]$