Sato-Tate group search results

Results (displaying both 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.L.48.51a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(D_6))$	$48$	$19/48$	$2$	$18$	$290$	$6230$	$154602$	$154602$	$2$	$8$	$41$	$302$	$2847$	$30876$	$8$	$708$	$142110$	✓	✓	$[1, 2, 5, 4, 8, 22, 25, 38, 46, 29, 16, 102, 120, 242, 450, 228, 236, 519, 431, 140]$
1.6.L.96.226a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(O))$	$96$	$11/32$	$2$	$15$	$195$	$3500$	$75852$	$75852$	$2$	$7$	$32$	$203$	$1647$	$15785$	$7$	$438$	$67460$	✓	✓	$[1, 2, 4, 3, 6, 14, 15, 22, 24, 16, 10, 51, 56, 107, 190, 99, 104, 217, 185, 66]$