Sato-Tate group search results

Results (4 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.12.4i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_6,D_3)$	$12$	$1/3$	$3$	$33$	$570$	$12985$	$346878$	$346878$	$2$	$10$	$65$	$566$	$5917$	$69106$	$13$	$1455$	$335790$		✓	$[1, 3, 7, 6, 11, 44, 47, 63, 101, 49, 29, 216, 262, 585, 1150, 582, 586, 1403, 1192, 357]$
1.6.L.12.4m	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,2},D_{3,2})$	$12$	$1/3$	$3$	$33$	$570$	$12985$	$346878$	$346878$	$3$	$13$	$75$	$597$	$6013$	$69400$	$14$	$1470$	$336010$		✓	$[1, 3, 8, 5, 12, 44, 45, 70, 99, 46, 28, 219, 252, 585, 1150, 571, 605, 1383, 1191, 333]$
1.6.L.12.5a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_6),J(C_3))$	$12$	$1/3$	$3$	$33$	$570$	$12985$	$346878$	$346878$	$2$	$10$	$65$	$566$	$5917$	$69107$	$13$	$1455$	$335800$		✓	$[1, 3, 7, 6, 11, 44, 47, 65, 103, 53, 29, 216, 266, 585, 1150, 588, 593, 1424, 1206, 385]$
1.6.L.12.5b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_6),C_{6,1})$	$12$	$1/3$	$3$	$33$	$570$	$12985$	$346878$	$346878$	$2$	$10$	$65$	$566$	$5917$	$69107$	$13$	$1455$	$335800$		✓	$[1, 3, 7, 6, 11, 44, 47, 61, 99, 45, 29, 216, 258, 585, 1150, 576, 581, 1384, 1182, 333]$