Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_{12}$ |
| Group identifier: | $[12,2]$ |
| Signature: | $[ 0; 3, 3, 4, 6, 12 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 6, 7, 12$ |
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{6}\times A_{3}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.12-2.0.3-3-4-6-12.5.1
| (1,3,5) (2,4,6) (7,9,11) (8,10,12) | |
| (1,5,3) (2,6,4) (7,11,9) (8,12,10) | |
| (1,8,2,7) (3,10,4,9) (5,12,6,11) | |
| (1,4,5,2,3,6) (7,10,11,8,9,12) | |
| (1,12,4,7,5,10,2,11,3,8,6,9) |