Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_4$ |
| Group identifier: | $[8,2]$ |
| Signature: | $[ 0; 2, 4, 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $2, 5, 5, 7, 8$ |
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}\times E$ |
| Corresponding character(s): | $3, 4, 5$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.8-2.0.2-4-4-4-4.1.1
| (1,2) (3,4) (5,6) (7,8) | |
| (1,5,2,6) (3,7,4,8) | |
| (1,5,2,6) (3,7,4,8) | |
| (1,7,2,8) (3,5,4,6) | |
| (1,8,2,7) (3,6,4,5) |