Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_6$ |
| Group identifier: | $[12,5]$ |
| Signature: | $[ 0; 2, 6, 6, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $3, 7, 11, 12, 12$ |
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times A_{3}\times A_{2}\times A_{3}$ |
| Corresponding character(s): | $2, 3, 5, 6, 7, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.12-5.0.2-6-6-6-6.13.1
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) | |
| (1,5,3,4,2,6) (7,11,9,10,8,12) | |
| (1,11,3,10,2,12) (4,8,6,7,5,9) | |
| (1,12,2,10,3,11) (4,9,5,7,6,8) | |
| (1,12,2,10,3,11) (4,9,5,7,6,8) |