Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_{21}$ |
| Group identifier: | $[21,2]$ |
| Signature: | $[ 0; 3, 3, 7, 21 ]$ |
| Conjugacy classes for this refined passport: | $3, 3, 9, 14$ |
| Jacobian variety group algebra decomposition: | $E\times A_{12}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.21-2.0.3-3-7-21.12.1
| (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) | |
| (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) | |
| (1,7,6,5,4,3,2) (8,14,13,12,11,10,9) (15,21,20,19,18,17,16) | |
| (1,16,10,4,19,13,7,15,9,3,18,12,6,21,8,2,17,11,5,20,14) |