Sato-Tate group search results

Results (displaying both 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.N.18.4a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$D(3,1)$	$18$	$4/9$	$2$	$30$	$820$	$25550$	$826812$	$826812$	$1$	$7$	$71$	$887$	$11811$	$161625$	$12$	$2644$	$858900$		✓	$[1, 2, 6, 10, 13, 72, 94, 138, 242, 136, 56, 503, 688, 1598, 3288, 1782, 1775, 4472, 3936, 1310]$
1.6.N.18.4b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(3,3))$	$18$	$11/18$	$3$	$45$	$990$	$27405$	$847098$	$847098$	$3$	$15$	$108$	$1071$	$12798$	$167202$	$16$	$2892$	$871840$		✓	$[1, 3, 10, 7, 18, 82, 91, 150, 243, 110, 58, 519, 642, 1597, 3306, 1719, 1809, 4366, 3906, 1145]$