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: | $3, 6, 12$ |
| 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.
6.21-2.0.3-7-21.9.1
| (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) | |
| (1,4,7,3,6,2,5) (8,11,14,10,13,9,12) (15,18,21,17,20,16,19) | |
| (1,12,16,6,10,21,4,8,19,2,13,17,7,11,15,5,9,20,3,14,18) |