Sato-Tate group search results

Weight	Degree	Include irrational	$\mathrm{ST}^0$	Maximal
Components	Component group	$\mathrm{Pr}[a_1=0]$	Second trace moment	Fourth trace moment
First $a_2$ moment

Sort order

Select

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
0.1.1	$0$	$1$	$0$	$\mathrm{SO}(1)$	$\mu(1)$	$1$	$0$	$1$	$1$	$1$	$1$	$1$	$1$	$$										✓	$$
0.1.2	$0$	$1$	$0$	$\mathrm{SO}(1)$	$\mu(2)$	$2$	$0$	$1$	$1$	$1$	$1$	$1$	$1$	$$									✓	✓	$$