Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $D_{12}$ |
| Group identifier: | $[24,6]$ |
| Signature: | $[ 0; 2, 2, 3, 12 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 5, 8$ |
| Jacobian variety group algebra decomposition: | $E^{2}\times E^{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $5, 6, 8$ |
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) (13,14,15) (16,17,18) (19,20,21) (22,23,24) |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
8.24-6.0.2-2-3-12.1.1
| (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20) | |
| (1,19) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) | |
| (1,12,5,7,3,11,4,9,2,10,6,8) (13,24,17,19,15,23,16,21,14,22,18,20) |
8.24-6.0.2-2-3-12.1.2
| (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20) | |
| (1,21) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
| (1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23) | |
| (1,12,5,7,3,11,4,9,2,10,6,8) (13,24,17,19,15,23,16,21,14,22,18,20) |