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
1.4.F.12.3a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$T$	$12$	$1/4$	$2$	$12$	$120$	$1540$	$21672$	$21672$	$1$	$4$	$12$	$52$	$236$	$1202$					✓	$[1, 2, 3, 4, 8, 8, 10, 27, 32, 22]$
1.6.K.12.3a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times T$	$12$	$0$	$3$	$26$	$365$	$6874$	$155274$	$155274$	$2$	$9$	$52$	$381$	$3322$	$32895$	$12$	$872$	$141370$		✓	$[1, 3, 6, 5, 7, 28, 26, 34, 49, 20, 17, 99, 107, 227, 408, 185, 199, 425, 328, 91]$
1.6.L.12.3a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(T)$	$12$	$0$	$4$	$42$	$680$	$14490$	$368424$	$368424$	$2$	$11$	$76$	$657$	$6622$	$74445$	$16$	$1656$	$353320$		✓	$[1, 4, 8, 8, 13, 52, 54, 68, 112, 52, 36, 229, 276, 600, 1176, 596, 591, 1416, 1200, 364]$
1.6.M.12.3a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(A_4)$	$12$	$2/3$	$1$	$14$	$305$	$7658$	$206682$	$206682$	$1$	$5$	$37$	$353$	$3831$	$44475$	$7$	$928$	$213454$		✓	$[1, 1, 4, 4, 5, 28, 30, 44, 68, 30, 16, 129, 156, 363, 708, 339, 359, 812, 664, 187]$
1.6.N.12.3a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$C(2,2)$	$12$	$2/3$	$2$	$42$	$1220$	$38290$	$1240092$	$1240092$	$1$	$9$	$103$	$1321$	$17691$	$242367$	$16$	$3944$	$1288060$		✓	$[1, 2, 8, 10, 15, 108, 128, 194, 354, 166, 76, 753, 976, 2386, 4932, 2594, 2641, 6588, 5840, 1790]$