Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $\SD_{16}$ |
| Group identifier: | $[16,8]$ |
| Signature: | $[ 0; 2, 2, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $3, 3, 5, 5$ |
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): | $4, 6$ |
Generating vector(s)
Displaying 8 of 8 generating vectors for this refined passport.
5.16-8.0.2-2-4-4.1.1
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) | |
| (1,10,2,9) (3,11,4,12) (5,16,6,15) (7,14,8,13) |
5.16-8.0.2-2-4-4.1.2
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,10,2,9) (3,11,4,12) (5,16,6,15) (7,14,8,13) | |
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) |
5.16-8.0.2-2-4-4.1.3
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16) | |
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) | |
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) |
5.16-8.0.2-2-4-4.1.4
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16) | |
| (1,10,2,9) (3,11,4,12) (5,16,6,15) (7,14,8,13) | |
| (1,10,2,9) (3,11,4,12) (5,16,6,15) (7,14,8,13) |
5.16-8.0.2-2-4-4.1.5
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) | |
| (1,11,2,12) (3,9,4,10) (5,14,6,13) (7,15,8,16) |
5.16-8.0.2-2-4-4.1.6
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
| (1,10,2,9) (3,11,4,12) (5,16,6,15) (7,14,8,13) | |
| (1,12,2,11) (3,10,4,9) (5,13,6,14) (7,16,8,15) |
5.16-8.0.2-2-4-4.1.7
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
| (1,12,2,11) (3,10,4,9) (5,13,6,14) (7,16,8,15) | |
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) |
5.16-8.0.2-2-4-4.1.8
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
| (1,11,2,12) (3,9,4,10) (5,14,6,13) (7,15,8,16) | |
| (1,10,2,9) (3,11,4,12) (5,16,6,15) (7,14,8,13) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.16-8.0.2-2-4-4.1.1
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) | |
| (1,10,2,9) (3,11,4,12) (5,16,6,15) (7,14,8,13) |