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: | $3, 4, 17$ |
| 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.
6.21-2.0.3-7-21.7.1
| (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) | |
| (1,2,3,4,5,6,7) (8,9,10,11,12,13,14) (15,16,17,18,19,20,21) | |
| (1,14,20,5,11,17,2,8,21,6,12,18,3,9,15,7,13,19,4,10,16) |