Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_{21}$ |
| Group identifier: | $[21,2]$ |
| Signature: | $[ 0; 3, 7, 21 ]$ |
| Conjugacy classes for this refined passport: | $2, 5, 13$ |
| Jacobian variety group algebra decomposition: | $A_{6}$ |
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.
6.21-2.0.3-7-21.2.1
| (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) | |
| (1,3,5,7,2,4,6) (8,10,12,14,9,11,13) (15,17,19,21,16,18,20) | |
| (1,20,11,2,21,12,3,15,13,4,16,14,5,17,8,6,18,9,7,19,10) |