Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_{24}$ |
| Group identifier: | $[24,2]$ |
| Signature: | $[ 0; 3, 8, 24 ]$ |
| Conjugacy classes for this refined passport: | $3, 12, 22$ |
| Jacobian variety group algebra decomposition: | $A_{4}\times A_{2}\times E$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,5,9) (2,6,10) (3,7,11) (4,8,12) (13,17,21) (14,18,22) (15,19,23) (16,20,24) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.24-2.0.3-8-24.4.1
| (1,5,9) (2,6,10) (3,7,11) (4,8,12) (13,17,21) (14,18,22) (15,19,23) (16,20,24) | |
| (1,16,4,14,2,15,3,13) (5,20,8,18,6,19,7,17) (9,24,12,22,10,23,11,21) | |
| (1,21,7,15,10,18,4,24,5,13,11,19,2,22,8,16,9,17,3,23,6,14,12,20) |