Sato-Tate group search results

Results (3 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.2.1a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(C_1)$	$2$	$0$	$5$	$74$	$1485$	$34174$	$853986$	$853986$	$2$	$18$	$149$	$1450$	$15247$	$169543$	$27$	$3734$	$772130$		✓	$[1, 5, 15, 14, 24, 120, 119, 162, 255, 105, 76, 554, 616, 1304, 2384, 1084, 1125, 2517, 1957, 545]$
1.6.K.2.1b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_2$	$2$	$0$	$5$	$74$	$1485$	$34174$	$853986$	$853986$	$3$	$19$	$153$	$1459$	$15273$	$169613$	$26$	$3724$	$772020$		✓	$[1, 5, 14, 11, 23, 120, 116, 156, 245, 90, 75, 551, 599, 1303, 2384, 1067, 1109, 2465, 1920, 493]$
1.6.K.2.1c	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_{2,1}$	$2$	$0$	$5$	$74$	$1485$	$34174$	$853986$	$853986$	$4$	$22$	$163$	$1490$	$15369$	$169907$	$27$	$3734$	$772130$		✓	$[1, 5, 15, 10, 24, 120, 115, 162, 243, 89, 76, 554, 596, 1304, 2384, 1064, 1125, 2457, 1921, 485]$