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: | $3, 3, 7, 19$ |
| 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.
13.21-2.0.3-3-7-21.10.1
| (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) | |
| (1,5,2,6,3,7,4) (8,12,9,13,10,14,11) (15,19,16,20,17,21,18) | |
| (1,18,14,3,20,9,5,15,11,7,17,13,2,19,8,4,21,10,6,16,12) |