Sato-Tate group search results

Results (7 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.J.2.1a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(E_2,E_1)$	$2$	$1/2$	$3$	$43$	$830$	$18627$	$458010$	$458010$	$2$	$13$	$99$	$907$	$9188$	$99515$	$18$	$2338$	$456520$		✓	$[1, 3, 10, 7, 12, 70, 71, 94, 151, 58, 34, 287, 328, 725, 1376, 631, 636, 1440, 1149, 295]$
1.6.J.2.1c	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_1),E_1)$	$2$	$1/2$	$3$	$43$	$830$	$18627$	$458010$	$458010$	$3$	$15$	$105$	$923$	$9233$	$99641$	$18$	$2338$	$456520$		✓	$[1, 3, 10, 7, 14, 70, 71, 100, 151, 58, 34, 287, 328, 725, 1376, 631, 646, 1440, 1149, 295]$
1.6.J.4.2a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_2),E_2)$	$4$	$1/2$	$2$	$23$	$420$	$9331$	$229068$	$229068$	$2$	$9$	$56$	$471$	$4642$	$49891$	$10$	$1178$	$228360$		✓	$[1, 2, 6, 6, 10, 35, 41, 58, 80, 44, 20, 145, 184, 366, 688, 340, 336, 760, 599, 198]$
1.6.J.4.2b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_2),J(E_1))$	$4$	$1/2$	$2$	$23$	$420$	$9331$	$229068$	$229068$	$2$	$9$	$56$	$471$	$4642$	$49891$	$10$	$1178$	$228360$		✓	$[1, 2, 6, 4, 8, 35, 37, 52, 76, 32, 18, 145, 166, 364, 688, 318, 326, 722, 579, 150]$
1.6.J.6.1a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_3),E_3)$	$6$	$1/2$	$2$	$21$	$335$	$6797$	$159138$	$159138$	$2$	$8$	$45$	$348$	$3267$	$34220$	$8$	$828$	$154420$		✓	$[1, 2, 5, 4, 9, 26, 28, 40, 54, 25, 17, 102, 117, 245, 466, 219, 227, 485, 395, 105]$
1.6.J.8.3b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_4),E_4)$	$8$	$1/2$	$2$	$21$	$330$	$6419$	$142548$	$142548$	$2$	$8$	$44$	$329$	$2962$	$29790$	$8$	$762$	$129760$		✓	$[1, 2, 5, 4, 9, 25, 26, 37, 46, 26, 16, 93, 104, 202, 368, 182, 181, 392, 316, 104]$
1.6.J.12.4c	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_6),E_6)$	$12$	$1/2$	$2$	$21$	$330$	$6405$	$140868$	$140868$	$2$	$8$	$44$	$328$	$2932$	$29110$	$8$	$756$	$124500$		✓	$[1, 2, 5, 4, 9, 25, 26, 36, 44, 23, 16, 92, 102, 192, 340, 156, 161, 332, 257, 80]$