Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_6$ |
| Group identifier: | $[12,5]$ |
| Signature: | $[ 0; 3, 6, 6, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $6, 9, 10, 12, 12$ |
| Jacobian variety group algebra decomposition: | $E\times A_{3}\times A_{3}\times A_{3}\times A_{3}$ |
| 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.
13.12-5.0.3-6-6-6-6.17.1
| (1,3,2) (4,6,5) (7,9,8) (10,12,11) | |
| (1,8,3,7,2,9) (4,11,6,10,5,12) | |
| (1,9,2,7,3,8) (4,12,5,10,6,11) | |
| (1,12,2,10,3,11) (4,9,5,7,6,8) | |
| (1,12,2,10,3,11) (4,9,5,7,6,8) |