Sato-Tate group search results

Results (5 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.L.48.48a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(O),J(T))$	$48$	$3/8$	$2$	$15$	$195$	$3780$	$93177$	$93177$	$2$	$7$	$32$	$209$	$1822$	$19275$	$7$	$471$	$89720$		✓	$[1, 2, 4, 3, 6, 14, 16, 25, 30, 20, 10, 60, 73, 153, 294, 156, 164, 365, 315, 107]$
1.6.L.48.48b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(O),O_1)$	$48$	$3/8$	$2$	$15$	$195$	$3780$	$93177$	$93177$	$2$	$7$	$32$	$209$	$1822$	$19275$	$7$	$474$	$89770$		✓	$[1, 2, 4, 3, 6, 14, 16, 23, 29, 17, 10, 60, 70, 153, 294, 152, 159, 355, 309, 94]$
1.6.L.48.48c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(O_1)$	$48$	$5/16$	$2$	$15$	$205$	$4025$	$97587$	$97587$	$2$	$7$	$33$	$217$	$1882$	$19720$	$7$	$474$	$90410$		✓	$[1, 2, 4, 3, 6, 15, 16, 25, 29, 17, 12, 65, 72, 154, 294, 153, 165, 357, 314, 95]$
1.6.L.48.49a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(T))$	$48$	$5/16$	$2$	$15$	$205$	$4025$	$97587$	$97587$	$2$	$7$	$32$	$212$	$1862$	$19650$	$7$	$471$	$90360$		✓	$[1, 2, 4, 3, 6, 15, 16, 24, 30, 19, 12, 64, 75, 154, 294, 157, 160, 367, 317, 108]$
1.6.L.96.226a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(O))$	$96$	$11/32$	$2$	$15$	$195$	$3500$	$75852$	$75852$	$2$	$7$	$32$	$203$	$1647$	$15785$	$7$	$438$	$67460$	✓	✓	$[1, 2, 4, 3, 6, 14, 15, 22, 24, 16, 10, 51, 56, 107, 190, 99, 104, 217, 185, 66]$