Sato-Tate group search results

Results (9 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
1.6.K.8.3a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_{4,1}$	$8$	$0$	$2$	$20$	$375$	$8554$	$213528$	$213528$	$2$	$8$	$47$	$390$	$3892$	$42621$	$8$	$942$	$193110$		✓	$[1, 2, 5, 4, 8, 30, 31, 46, 63, 27, 21, 141, 154, 328, 596, 271, 292, 623, 489, 130]$
1.6.K.8.5a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(D_2)$	$8$	$0$	$2$	$20$	$375$	$8554$	$213528$	$213528$	$2$	$9$	$50$	$400$	$3922$	$42712$	$9$	$950$	$193190$		✓	$[1, 2, 6, 5, 9, 30, 32, 51, 66, 33, 22, 143, 160, 329, 596, 277, 303, 639, 502, 146]$
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.24.12a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times O_1$	$24$	$0$	$2$	$14$	$185$	$3444$	$77658$	$77658$	$2$	$7$	$33$	$211$	$1722$	$16630$	$7$	$444$	$70765$		✓	$[1, 2, 4, 3, 5, 14, 14, 22, 25, 12, 10, 52, 55, 115, 204, 94, 111, 214, 169, 47]$
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.24.14a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(D_6)$	$24$	$0$	$2$	$17$	$270$	$5439$	$123123$	$123123$	$2$	$8$	$41$	$293$	$2592$	$25891$	$8$	$664$	$111815$	✓	✓	$[1, 2, 5, 4, 7, 21, 22, 33, 40, 20, 14, 82, 90, 175, 310, 141, 153, 307, 237, 68]$
1.6.K.48.48a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(O)$	$48$	$0$	$2$	$14$	$175$	$2919$	$58023$	$58023$	$2$	$7$	$32$	$197$	$1502$	$13270$	$7$	$412$	$53240$	✓	✓	$[1, 2, 4, 3, 5, 13, 13, 19, 21, 11, 8, 38, 40, 77, 130, 60, 71, 131, 101, 32]$