Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_6$ |
| Group identifier: | $[12,5]$ |
| Signature: | $[ 0; 2, 2, 3, 3, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 6, 6, 9, 11$ |
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}\times A_{3}\times A_{3}$ |
| Corresponding character(s): | $2, 5, 6, 7, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.12-5.0.2-2-3-3-6-6.24.1
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) | |
| (1,10) (2,11) (3,12) (4,7) (5,8) (6,9) | |
| (1,3,2) (4,6,5) (7,9,8) (10,12,11) | |
| (1,3,2) (4,6,5) (7,9,8) (10,12,11) | |
| (1,8,3,7,2,9) (4,11,6,10,5,12) | |
| (1,11,3,10,2,12) (4,8,6,7,5,9) |