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: | $3, 9, 24$ |
| 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.
7.24-2.0.3-8-24.1.1
| (1,5,9) (2,6,10) (3,7,11) (4,8,12) (13,17,21) (14,18,22) (15,19,23) (16,20,24) | |
| (1,13,3,15,2,14,4,16) (5,17,7,19,6,18,8,20) (9,21,11,23,10,22,12,24) | |
| (1,24,8,14,10,19,3,21,5,16,12,18,2,23,7,13,9,20,4,22,6,15,11,17) |