Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $Q_8$ |
| Group identifier: | $[8,4]$ |
| Signature: | $[ 0; 2, 4, 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 3, 4, 4$ |
| Jacobian variety group algebra decomposition: | $E\times A_{6}$ |
| Corresponding character(s): | $4, 5$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
7.8-4.0.2-4-4-4-4.1.1
| (1,2) (3,4) (5,6) (7,8) | |
| (1,3,2,4) (5,7,6,8) | |
| (1,3,2,4) (5,7,6,8) | |
| (1,5,2,6) (3,8,4,7) | |
| (1,6,2,5) (3,7,4,8) |
7.8-4.0.2-4-4-4-4.1.2
| (1,2) (3,4) (5,6) (7,8) | |
| (1,3,2,4) (5,7,6,8) | |
| (1,4,2,3) (5,8,6,7) | |
| (1,5,2,6) (3,8,4,7) | |
| (1,5,2,6) (3,8,4,7) |
Displaying the unique representative of this refined passport up to braid equivalence.
7.8-4.0.2-4-4-4-4.1.1
| (1,2) (3,4) (5,6) (7,8) | |
| (1,3,2,4) (5,7,6,8) | |
| (1,3,2,4) (5,7,6,8) | |
| (1,5,2,6) (3,8,4,7) | |
| (1,6,2,5) (3,7,4,8) |