Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_3^2$ |
| Group identifier: | $[9,2]$ |
| Signature: | $[ 0; 3, 3, 3, 3, 3, 3, 3 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 2, 2, 2, 5, 6$ |
| Jacobian variety group algebra decomposition: | $A_{4}\times A_{5}\times A_{4}$ |
| Corresponding character(s): | $2, 5, 6$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,2,3) (4,5,6) (7,8,9) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.9-2.0.3-3-3-3-3-3-3.2.1
| (1,2,3) (4,5,6) (7,8,9) | |
| (1,2,3) (4,5,6) (7,8,9) | |
| (1,2,3) (4,5,6) (7,8,9) | |
| (1,2,3) (4,5,6) (7,8,9) | |
| (1,2,3) (4,5,6) (7,8,9) | |
| (1,7,4) (2,8,5) (3,9,6) | |
| (1,5,9) (2,6,7) (3,4,8) |