Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_6$ |
| Group identifier: | $[12,5]$ |
| Signature: | $[ 0; 2, 3, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $2, 5, 9, 11$ |
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times A_{2}$ |
| Corresponding character(s): | $5, 6, 7, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,2,3) (4,5,6) (7,8,9) (10,11,12) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.12-5.0.2-3-6-6.1.1
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) | |
| (1,8,3,7,2,9) (4,11,6,10,5,12) | |
| (1,11,3,10,2,12) (4,8,6,7,5,9) |