Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_3^2$ |
| Group identifier: | $[9,2]$ |
| Signature: | $[ 0; 3, 3, 3, 3, 3 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 3, 4, 7$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{3}\times A_{2}$ |
| 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.
7.9-2.0.3-3-3-3-3.4.1
| (1,2,3) (4,5,6) (7,8,9) | |
| (1,2,3) (4,5,6) (7,8,9) | |
| (1,3,2) (4,6,5) (7,9,8) | |
| (1,4,7) (2,5,8) (3,6,9) | |
| (1,9,5) (2,7,6) (3,8,4) |