Family Information
Genus: | $8$ |
Quotient genus: | $0$ |
Group name: | $C_3:C_4$ |
Group identifier: | $[12,1]$ |
Signature: | $[ 0; 4, 4, 6, 6 ]$ |
Conjugacy classes for this refined passport: | $4, 5, 6, 6$ |
The full automorphism group for this family is $C_3:D_4$ with signature $[ 0; 2, 2, 4, 6 ]$.
Jacobian variety group algebra decomposition: | $A_{2}\times A_{4}\times E^{2}$ |
Corresponding character(s): | $3, 5, 6$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
8.12-1.0.4-4-6-6.1.1
(1,7,4,10) (2,9,5,12) (3,8,6,11) | |
(1,10,4,7) (2,12,5,9) (3,11,6,8) | |
(1,5,3,4,2,6) (7,11,9,10,8,12) | |
(1,6,2,4,3,5) (7,12,8,10,9,11) |
8.12-1.0.4-4-6-6.1.2
(1,7,4,10) (2,9,5,12) (3,8,6,11) | |
(1,12,4,9) (2,11,5,8) (3,10,6,7) | |
(1,6,2,4,3,5) (7,12,8,10,9,11) | |
(1,6,2,4,3,5) (7,12,8,10,9,11) |