Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_{15}$ |
| Group identifier: | $[15,1]$ |
| Signature: | $[ 0; 3, 3, 5, 15 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 5, 14$ |
| Jacobian variety group algebra decomposition: | $E\times A_{8}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.15-1.0.3-3-5-15.2.1
| (1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) | |
| (1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) | |
| (1,3,5,2,4) (6,8,10,7,9) (11,13,15,12,14) | |
| (1,9,12,5,8,11,4,7,15,3,6,14,2,10,13) |