Sato-Tate group search results

Results (4 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.12.4a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(D_3)$	$12$	$0$	$2$	$17$	$280$	$5999$	$145593$	$145593$	$2$	$8$	$41$	$303$	$2812$	$29636$	$8$	$696$	$131965$		✓	$[1, 2, 5, 4, 7, 22, 23, 36, 46, 23, 16, 97, 108, 222, 400, 186, 205, 429, 336, 99]$
1.6.K.12.4b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_{6,1}$	$12$	$0$	$2$	$17$	$280$	$5999$	$145593$	$145593$	$2$	$8$	$42$	$307$	$2827$	$29686$	$8$	$696$	$131965$		✓	$[1, 2, 5, 4, 7, 22, 23, 36, 44, 21, 16, 97, 106, 222, 400, 184, 205, 419, 330, 89]$
1.6.K.16.11a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(D_4)$	$16$	$0$	$2$	$17$	$270$	$5474$	$125958$	$125958$	$2$	$8$	$41$	$294$	$2612$	$26346$	$8$	$666$	$114465$		✓	$[1, 2, 5, 4, 7, 21, 22, 34, 41, 21, 14, 84, 92, 184, 326, 151, 169, 341, 267, 79]$
1.6.K.24.14a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(D_6)$	$24$	$0$	$2$	$17$	$270$	$5439$	$123123$	$123123$	$2$	$8$	$41$	$293$	$2592$	$25891$	$8$	$664$	$111815$	✓	✓	$[1, 2, 5, 4, 7, 21, 22, 33, 40, 20, 14, 82, 90, 175, 310, 141, 153, 307, 237, 68]$

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