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: | $3, 4, 8, 9$ |
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.
5.16-13.0.2-2-4-4.1.1
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,7,2,8) (3,6,4,5) (9,15,10,16) (11,14,12,13) | |
| (1,11,2,12) (3,10,4,9) (5,16,6,15) (7,13,8,14) |
5.16-13.0.2-2-4-4.1.2
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,8,2,7) (3,5,4,6) (9,16,10,15) (11,13,12,14) | |
| (1,12,2,11) (3,9,4,10) (5,15,6,16) (7,14,8,13) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.16-13.0.2-2-4-4.1.1
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,7,2,8) (3,6,4,5) (9,15,10,16) (11,14,12,13) | |
| (1,11,2,12) (3,10,4,9) (5,16,6,15) (7,13,8,14) |