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
1.4.F.2.1b	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$C_2$	$2$	$1/2$	$4$	$48$	$640$	$8960$	$129024$	$129024$	$2$	$10$	$44$	$230$	$1212$	$6628$					✓	$[1, 4, 7, 18, 40, 32, 52, 153, 184, 104]$
1.4.F.3.1a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$C_3$	$3$	$0$	$4$	$36$	$440$	$6020$	$86184$	$86184$	$2$	$8$	$34$	$164$	$842$	$4506$					✓	$[1, 4, 5, 12, 28, 20, 36, 101, 124, 66]$
1.4.F.4.1b	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$C_4$	$4$	$1/4$	$4$	$36$	$400$	$5040$	$68544$	$68544$	$2$	$8$	$32$	$150$	$732$	$3776$					✓	$[1, 4, 5, 12, 24, 18, 28, 79, 96, 54]$
1.4.F.4.2c	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_{2,1}$	$4$	$3/4$	$2$	$24$	$320$	$4480$	$64512$	$64512$	$2$	$7$	$26$	$123$	$622$	$3346$					✓	$[1, 2, 4, 11, 20, 18, 26, 77, 92, 54]$
1.4.F.6.1b	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_{3,2}$	$6$	$1/2$	$2$	$18$	$220$	$3010$	$43092$	$43092$	$2$	$6$	$21$	$90$	$437$	$2285$					✓	$[1, 2, 3, 8, 14, 12, 18, 51, 62, 35]$
1.4.F.6.2c	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$C_6$	$6$	$1/6$	$4$	$36$	$400$	$4900$	$63504$	$63504$	$2$	$8$	$32$	$148$	$712$	$3586$					✓	$[1, 4, 5, 12, 24, 16, 28, 73, 80, 42]$
1.4.F.8.3c	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_{4,2}$	$8$	$5/8$	$2$	$18$	$200$	$2520$	$34272$	$34272$	$2$	$6$	$20$	$83$	$382$	$1920$					✓	$[1, 2, 3, 8, 12, 11, 14, 40, 48, 29]$
1.4.F.12.4d	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_{6,2}$	$12$	$7/12$	$2$	$18$	$200$	$2450$	$31752$	$31752$	$2$	$6$	$20$	$82$	$372$	$1825$					✓	$[1, 2, 3, 8, 12, 10, 14, 37, 40, 23]$