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.4.1a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(E_4,E_2)$	$4$	$0$	$3$	$27$	$440$	$9443$	$229740$	$229740$	$2$	$9$	$57$	$479$	$4688$	$50123$	$14$	$1242$	$229640$		✓	$[1, 3, 6, 7, 8, 36, 41, 52, 81, 44, 20, 145, 184, 371, 688, 345, 326, 760, 599, 203]$
1.6.J.6.2a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(E_6,E_3)$	$6$	$1/6$	$3$	$27$	$380$	$7175$	$162540$	$162540$	$2$	$9$	$51$	$381$	$3438$	$35093$	$12$	$924$	$157300$		✓	$[1, 3, 6, 5, 8, 28, 29, 34, 55, 24, 18, 103, 118, 247, 466, 221, 218, 486, 395, 107]$
1.6.J.6.2b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(E_3)$	$6$	$0$	$3$	$27$	$390$	$7399$	$166320$	$166320$	$2$	$9$	$53$	$397$	$3548$	$35813$	$12$	$924$	$157940$		✓	$[1, 3, 6, 5, 8, 30, 29, 38, 55, 24, 20, 107, 120, 249, 466, 223, 226, 488, 399, 109]$
1.6.J.8.2a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(E_4)$	$8$	$1/8$	$3$	$27$	$380$	$6923$	$148260$	$148260$	$2$	$9$	$51$	$371$	$3198$	$31103$	$12$	$858$	$132960$		✓	$[1, 3, 6, 5, 8, 28, 27, 34, 47, 26, 18, 97, 106, 207, 368, 187, 178, 394, 321, 109]$
1.6.J.12.5a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(E_6)$	$12$	$1/12$	$3$	$27$	$380$	$6895$	$146160$	$146160$	$2$	$9$	$51$	$369$	$3158$	$30343$	$12$	$852$	$127700$		✓	$[1, 3, 6, 5, 8, 28, 27, 32, 45, 22, 18, 95, 104, 195, 340, 159, 156, 334, 259, 83]$