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: | $2, 8, 11$ |
| 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.
6.21-2.0.3-7-21.5.1
| (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) | |
| (1,6,4,2,7,5,3) (8,13,11,9,14,12,10) (15,20,18,16,21,19,17) | |
| (1,17,12,7,16,11,6,15,10,5,21,9,4,20,8,3,19,14,2,18,13) |