Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:C_4$ |
| Group identifier: | $[12,1]$ |
| Signature: | $[ 0; 2, 2, 4, 4, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 4, 5, 6, 6$ |
| Jacobian variety group algebra decomposition: | $A_{4}\times A_{8}\times E^{2}$ |
| Corresponding character(s): | $3, 5, 6$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
14.12-1.0.2-2-4-4-6-6.1.1
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,7,4,10) (2,9,5,12) (3,8,6,11) | |
| (1,10,4,7) (2,12,5,9) (3,11,6,8) | |
| (1,5,3,4,2,6) (7,11,9,10,8,12) | |
| (1,6,2,4,3,5) (7,12,8,10,9,11) |
14.12-1.0.2-2-4-4-6-6.1.2
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,7,4,10) (2,9,5,12) (3,8,6,11) | |
| (1,12,4,9) (2,11,5,8) (3,10,6,7) | |
| (1,6,2,4,3,5) (7,12,8,10,9,11) | |
| (1,6,2,4,3,5) (7,12,8,10,9,11) |