Sato-Tate group search results

Results (8 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.F.4.2a	$1$	$6$	$7$	$\mathrm{U}(1)\times\mathrm{SU}(2)^2$	$F_{a,t}$	$4$	$1/4$	$2$	$14$	$165$	$2639$	$50253$	$50253$	$2$	$7$	$32$	$191$	$1402$	$11905$	$7$	$389$	$46510$	✓	✓	$[1, 2, 4, 3, 5, 12, 13, 17, 18, 10, 8, 33, 38, 64, 105, 51, 54, 97, 71, 24]$
1.6.I.6.1a	$1$	$6$	$6$	$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$	$\mathrm{SU}(2)\times J(E_3)$	$6$	$0$	$2$	$14$	$180$	$3136$	$64344$	$64344$	$2$	$7$	$33$	$210$	$1667$	$15215$	$7$	$442$	$62145$		✓	$[1, 2, 4, 3, 5, 14, 14, 21, 24, 11, 9, 42, 45, 92, 159, 70, 83, 151, 112, 30]$
1.6.I.8.3a	$1$	$6$	$6$	$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$	$\mathrm{SU}(2)\times J(E_4)$	$8$	$0$	$2$	$14$	$175$	$2898$	$56364$	$56364$	$2$	$7$	$32$	$197$	$1502$	$13185$	$7$	$412$	$52590$	✓	✓	$[1, 2, 4, 3, 5, 13, 13, 19, 21, 11, 8, 37, 39, 75, 125, 58, 67, 121, 91, 28]$
1.6.I.12.4a	$1$	$6$	$6$	$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$	$\mathrm{SU}(2)\times J(E_6)$	$12$	$0$	$2$	$14$	$175$	$2884$	$55314$	$55314$	$2$	$7$	$32$	$196$	$1482$	$12835$	$7$	$410$	$50735$	✓	✓	$[1, 2, 4, 3, 5, 13, 13, 18, 20, 10, 8, 36, 38, 69, 115, 51, 57, 102, 76, 23]$
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	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(O)$	$48$	$0$	$2$	$14$	$175$	$2919$	$58023$	$58023$	$2$	$7$	$32$	$197$	$1502$	$13270$	$7$	$412$	$53240$	✓	✓	$[1, 2, 4, 3, 5, 13, 13, 19, 21, 11, 8, 38, 40, 77, 130, 60, 71, 131, 101, 32]$
1.6.M.12.3a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(A_4)$	$12$	$2/3$	$1$	$14$	$305$	$7658$	$206682$	$206682$	$1$	$5$	$37$	$353$	$3831$	$44475$	$7$	$928$	$213454$		✓	$[1, 1, 4, 4, 5, 28, 30, 44, 68, 30, 16, 129, 156, 363, 708, 339, 359, 812, 664, 187]$