Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_6$ |
| Group identifier: | $[12,5]$ |
| Signature: | $[ 0; 3, 6, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $6, 7, 10, 11$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{2}\times A_{2}$ |
| 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.
8.12-5.0.3-6-6-6.5.1
| (1,3,2) (4,6,5) (7,9,8) (10,12,11) | |
| (1,5,3,4,2,6) (7,11,9,10,8,12) | |
| (1,9,2,7,3,8) (4,12,5,10,6,11) | |
| (1,11,3,10,2,12) (4,8,6,7,5,9) |