Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $D_4:C_2$ |
| Group identifier: | $[16,13]$ |
| Signature: | $[ 0; 2, 2, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $4, 5, 9, 10$ |
The full automorphism group for this family is $D_8:C_2$ with signature $[ 0; 2, 2, 2, 4 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}^{2}$ |
| Corresponding character(s): | $2, 9$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
5.16-13.0.2-2-4-4.3.1
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,15) (2,16) (3,14) (4,13) (5,12) (6,11) (7,9) (8,10) | |
| (1,11,2,12) (3,10,4,9) (5,16,6,15) (7,13,8,14) | |
| (1,14,2,13) (3,16,4,15) (5,9,6,10) (7,11,8,12) |
5.16-13.0.2-2-4-4.3.2
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,15) (2,16) (3,14) (4,13) (5,12) (6,11) (7,9) (8,10) | |
| (1,12,2,11) (3,9,4,10) (5,15,6,16) (7,14,8,13) | |
| (1,13,2,14) (3,15,4,16) (5,10,6,9) (7,12,8,11) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.16-13.0.2-2-4-4.3.1
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,15) (2,16) (3,14) (4,13) (5,12) (6,11) (7,9) (8,10) | |
| (1,11,2,12) (3,10,4,9) (5,16,6,15) (7,13,8,14) | |
| (1,14,2,13) (3,16,4,15) (5,9,6,10) (7,11,8,12) |