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.24.14a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_6),J(D_3))$	$24$	$5/12$	$2$	$18$	$290$	$6510$	$173502$	$173502$	$2$	$8$	$41$	$308$	$3032$	$34771$	$8$	$744$	$168110$		✓	$[1, 2, 5, 4, 8, 22, 26, 41, 53, 34, 16, 111, 139, 295, 575, 302, 314, 723, 617, 207]$
1.6.L.24.14b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_6),D_{6,1})$	$24$	$5/12$	$2$	$18$	$290$	$6510$	$173502$	$173502$	$2$	$8$	$41$	$308$	$3032$	$34771$	$8$	$744$	$168110$		✓	$[1, 2, 5, 4, 8, 22, 26, 39, 51, 30, 16, 111, 135, 295, 575, 296, 308, 703, 605, 181]$