Family Information
Genus: | $3$ |
Quotient genus: | $1$ |
Group name: | $D_4$ |
Group identifier: | $[8,3]$ |
Signature: | $[ 1; 2 ]$ |
Conjugacy classes for this refined passport: | $2$ |
The full automorphism group for this family is $C_2\times D_4$ with signature $[ 0; 2, 2, 2, 4 ]$.
Jacobian variety group algebra decomposition: | $E\times E^{2}$ |
Corresponding character(s): | $1, 5$ |
Generating vector(s)
Displaying 20 of 24 generating vectors for this refined passport.
3.8-3.1.2.1.1
(1,5) (2,6) (3,8) (4,7) | |
(1,3) (2,4) (5,7) (6,8) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.2
(1,6) (2,5) (3,7) (4,8) | |
(1,3) (2,4) (5,7) (6,8) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.3
(1,8,2,7) (3,5,4,6) | |
(1,3) (2,4) (5,7) (6,8) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.4
(1,7,2,8) (3,6,4,5) | |
(1,3) (2,4) (5,7) (6,8) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.5
(1,3) (2,4) (5,7) (6,8) | |
(1,5) (2,6) (3,8) (4,7) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.6
(1,4) (2,3) (5,8) (6,7) | |
(1,5) (2,6) (3,8) (4,7) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.7
(1,8,2,7) (3,5,4,6) | |
(1,5) (2,6) (3,8) (4,7) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.8
(1,7,2,8) (3,6,4,5) | |
(1,5) (2,6) (3,8) (4,7) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.9
(1,5) (2,6) (3,8) (4,7) | |
(1,4) (2,3) (5,8) (6,7) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.10
(1,6) (2,5) (3,7) (4,8) | |
(1,4) (2,3) (5,8) (6,7) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.11
(1,8,2,7) (3,5,4,6) | |
(1,4) (2,3) (5,8) (6,7) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.12
(1,7,2,8) (3,6,4,5) | |
(1,4) (2,3) (5,8) (6,7) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.13
(1,3) (2,4) (5,7) (6,8) | |
(1,6) (2,5) (3,7) (4,8) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.14
(1,4) (2,3) (5,8) (6,7) | |
(1,6) (2,5) (3,7) (4,8) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.15
(1,8,2,7) (3,5,4,6) | |
(1,6) (2,5) (3,7) (4,8) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.16
(1,7,2,8) (3,6,4,5) | |
(1,6) (2,5) (3,7) (4,8) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.17
(1,3) (2,4) (5,7) (6,8) | |
(1,8,2,7) (3,5,4,6) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.18
(1,5) (2,6) (3,8) (4,7) | |
(1,8,2,7) (3,5,4,6) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.19
(1,4) (2,3) (5,8) (6,7) | |
(1,8,2,7) (3,5,4,6) | |
(1,2) (3,4) (5,6) (7,8) |
3.8-3.1.2.1.20
(1,6) (2,5) (3,7) (4,8) | |
(1,8,2,7) (3,5,4,6) | |
(1,2) (3,4) (5,6) (7,8) |