Family Information
Genus: | $7$ |
Quotient genus: | $0$ |
Group name: | $C_3:C_4$ |
Group identifier: | $[12,1]$ |
Signature: | $[ 0; 4, 4, 4, 4 ]$ |
Conjugacy classes for this refined passport: | $5, 5, 5, 5$ |
The full automorphism group for this family is $S_3\times D_4$ with signature $[ 0; 2, 2, 2, 4 ]$.
Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}$ |
Corresponding character(s): | $2, 3, 5$ |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
7.12-1.0.4-4-4-4.3.1
(1,10,4,7) (2,12,5,9) (3,11,6,8) | |
(1,10,4,7) (2,12,5,9) (3,11,6,8) | |
(1,12,4,9) (2,11,5,8) (3,10,6,7) | |
(1,12,4,9) (2,11,5,8) (3,10,6,7) |
7.12-1.0.4-4-4-4.3.2
(1,10,4,7) (2,12,5,9) (3,11,6,8) | |
(1,12,4,9) (2,11,5,8) (3,10,6,7) | |
(1,10,4,7) (2,12,5,9) (3,11,6,8) | |
(1,11,4,8) (2,10,5,7) (3,12,6,9) |
7.12-1.0.4-4-4-4.3.3
(1,10,4,7) (2,12,5,9) (3,11,6,8) | |
(1,12,4,9) (2,11,5,8) (3,10,6,7) | |
(1,12,4,9) (2,11,5,8) (3,10,6,7) | |
(1,10,4,7) (2,12,5,9) (3,11,6,8) |
7.12-1.0.4-4-4-4.3.4
(1,10,4,7) (2,12,5,9) (3,11,6,8) | |
(1,12,4,9) (2,11,5,8) (3,10,6,7) | |
(1,11,4,8) (2,10,5,7) (3,12,6,9) | |
(1,12,4,9) (2,11,5,8) (3,10,6,7) |
Displaying the unique representative of this refined passport up to braid equivalence.
7.12-1.0.4-4-4-4.3.1
(1,10,4,7) (2,12,5,9) (3,11,6,8) | |
(1,10,4,7) (2,12,5,9) (3,11,6,8) | |
(1,12,4,9) (2,11,5,8) (3,10,6,7) | |
(1,12,4,9) (2,11,5,8) (3,10,6,7) |