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
1.6.J.8.3a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_4),J(E_2))$	$8$	$1/4$	$2$	$15$	$225$	$4739$	$114933$	$114933$	$2$	$7$	$35$	$257$	$2392$	$25195$	$8$	$630$	$114920$		✓	$[1, 2, 4, 4, 6, 18, 22, 31, 41, 25, 11, 74, 94, 187, 344, 175, 171, 382, 304, 104]$
1.6.J.12.4a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_6),J(E_3))$	$12$	$1/3$	$2$	$15$	$195$	$3605$	$81333$	$81333$	$2$	$7$	$32$	$208$	$1767$	$17680$	$7$	$471$	$78750$		✓	$[1, 2, 4, 3, 6, 14, 16, 22, 28, 15, 10, 53, 61, 125, 233, 113, 117, 245, 202, 56]$
1.6.J.12.4b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(J(E_3))$	$12$	$1/4$	$2$	$15$	$200$	$3717$	$83223$	$83223$	$2$	$7$	$33$	$216$	$1822$	$18040$	$7$	$471$	$79070$		✓	$[1, 2, 4, 3, 6, 15, 16, 24, 28, 15, 11, 55, 62, 126, 233, 114, 121, 246, 204, 57]$
1.6.J.16.11a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(J(E_4))$	$16$	$5/16$	$2$	$15$	$195$	$3479$	$74193$	$74193$	$2$	$7$	$32$	$203$	$1647$	$15685$	$7$	$438$	$66580$	✓	✓	$[1, 2, 4, 3, 6, 14, 15, 22, 24, 16, 10, 50, 55, 105, 184, 96, 97, 199, 165, 57]$
1.6.J.24.14a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(J(E_6))$	$24$	$7/24$	$2$	$15$	$195$	$3465$	$73143$	$73143$	$2$	$7$	$32$	$202$	$1627$	$15305$	$7$	$435$	$63950$	✓	✓	$[1, 2, 4, 3, 6, 14, 15, 21, 23, 14, 10, 49, 54, 99, 170, 82, 86, 169, 134, 44]$