Sato-Tate group search results

Results (5 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.G.1.1a	$1$	$6$	$5$	$\mathrm{U}(1)^2\times\mathrm{SU}(2)$	$F\times \mathrm{SU}(2)$	$1$	$0$	$5$	$62$	$1065$	$21714$	$492366$	$492366$	$3$	$17$	$123$	$1053$	$10023$	$102549$	$24$	$2600$	$446720$		✓	$[1, 5, 12, 9, 17, 84, 78, 96, 149, 52, 45, 313, 333, 689, 1240, 537, 537, 1177, 894, 221]$
1.6.G.2.1a	$1$	$6$	$5$	$\mathrm{U}(1)^2\times\mathrm{SU}(2)$	$F_{ab}\times \mathrm{SU}(2)$	$2$	$0$	$3$	$32$	$535$	$10864$	$246204$	$246204$	$3$	$13$	$75$	$567$	$5133$	$51639$	$14$	$1316$	$223520$		✓	$[1, 3, 8, 5, 11, 42, 40, 58, 75, 30, 25, 161, 169, 347, 620, 271, 291, 591, 456, 113]$
1.6.G.2.1b	$1$	$6$	$5$	$\mathrm{U}(1)^2\times\mathrm{SU}(2)$	$F_{a}\times \mathrm{SU}(2)$	$2$	$0$	$4$	$41$	$620$	$11739$	$255885$	$255885$	$3$	$14$	$84$	$627$	$5493$	$53714$	$18$	$1460$	$228960$		✓	$[1, 4, 9, 6, 11, 47, 42, 53, 76, 28, 26, 164, 170, 349, 620, 273, 278, 592, 456, 115]$
1.6.G.4.1a	$1$	$6$	$5$	$\mathrm{U}(1)^2\times\mathrm{SU}(2)$	$F_{ac}\times \mathrm{SU}(2)$	$4$	$0$	$2$	$17$	$270$	$5439$	$123123$	$123123$	$2$	$7$	$38$	$284$	$2567$	$25820$	$7$	$658$	$111760$	✓	✓	$[1, 2, 4, 3, 6, 21, 21, 29, 38, 15, 13, 81, 85, 174, 310, 136, 146, 296, 229, 57]$
1.6.G.4.2a	$1$	$6$	$5$	$\mathrm{U}(1)^2\times\mathrm{SU}(2)$	$F_{a,b}\times \mathrm{SU}(2)$	$4$	$0$	$3$	$26$	$355$	$6314$	$132804$	$132804$	$3$	$12$	$60$	$384$	$3048$	$28259$	$13$	$818$	$117360$	✓	✓	$[1, 3, 7, 4, 8, 26, 23, 34, 39, 17, 16, 88, 88, 178, 310, 140, 155, 299, 237, 61]$

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