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: | $2, 2, 7, 15$ |
| Jacobian variety group algebra decomposition: | $E\times A_{12}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.21-2.0.3-3-7-21.4.1
| (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) | |
| (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) | |
| (1,5,2,6,3,7,4) (8,12,9,13,10,14,11) (15,19,16,20,17,21,18) | |
| (1,11,21,3,13,16,5,8,18,7,10,20,2,12,15,4,14,17,6,9,19) |