Sato-Tate group search results

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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.N.27.3a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$C(3,3)$	$27$	$20/27$	$2$	$30$	$660$	$18270$	$564732$	$564732$	$1$	$7$	$63$	$687$	$8451$	$111225$	$12$	$1932$	$581240$		✓	$[1, 2, 6, 6, 9, 56, 60, 88, 162, 70, 40, 343, 428, 1066, 2208, 1146, 1183, 2912, 2592, 770]$

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