Sato-Tate group search results

Results (3 matches)

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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.K.24.12a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times O_1$	$24$	$0$	$2$	$14$	$185$	$3444$	$77658$	$77658$	$2$	$7$	$33$	$211$	$1722$	$16630$	$7$	$444$	$70765$		✓	$[1, 2, 4, 3, 5, 14, 14, 22, 25, 12, 10, 52, 55, 115, 204, 94, 111, 214, 169, 47]$
1.6.K.24.13a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(T)$	$24$	$0$	$2$	$14$	$185$	$3444$	$77658$	$77658$	$2$	$7$	$32$	$206$	$1702$	$16560$	$7$	$442$	$70740$		✓	$[1, 2, 4, 3, 5, 14, 14, 21, 26, 13, 10, 51, 56, 115, 204, 95, 107, 219, 170, 52]$
1.6.K.48.48a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(O)$	$48$	$0$	$2$	$14$	$175$	$2919$	$58023$	$58023$	$2$	$7$	$32$	$197$	$1502$	$13270$	$7$	$412$	$53240$	✓	✓	$[1, 2, 4, 3, 5, 13, 13, 19, 21, 11, 8, 38, 40, 77, 130, 60, 71, 131, 101, 32]$

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