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.H.6.2a	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{abc,s}$	$6$	$5/6$	$1$	$15$	$310$	$7455$	$195426$	$195426$	$1$	$5$	$35$	$321$	$3411$	$39143$	$6$	$822$	$184860$	✓	✓	$[1, 1, 4, 3, 6, 26, 27, 40, 57, 26, 16, 125, 142, 315, 602, 281, 298, 660, 541, 147]$
1.6.H.8.2a	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{c,at}$	$8$	$3/8$	$2$	$18$	$290$	$6230$	$154602$	$154602$	$2$	$7$	$38$	$293$	$2822$	$30805$	$7$	$699$	$142000$	✓	✓	$[1, 2, 4, 3, 7, 22, 23, 33, 44, 20, 15, 101, 110, 240, 450, 215, 228, 498, 416, 112]$
1.6.H.8.5a	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{a,b,c}$	$8$	$1/8$	$3$	$27$	$390$	$7455$	$170478$	$170478$	$3$	$12$	$60$	$396$	$3348$	$33699$	$13$	$867$	$148720$	✓	✓	$[1, 3, 7, 4, 9, 28, 25, 39, 45, 23, 19, 114, 114, 247, 450, 222, 237, 502, 432, 119]$