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: | $3, 11, 20$ |
| 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.
7.24-2.0.3-8-24.3.1
| (1,5,9) (2,6,10) (3,7,11) (4,8,12) (13,17,21) (14,18,22) (15,19,23) (16,20,24) | |
| (1,14,3,16,2,13,4,15) (5,18,7,20,6,17,8,19) (9,22,11,24,10,21,12,23) | |
| (1,23,8,13,10,20,3,22,5,15,12,17,2,24,7,14,9,19,4,21,6,16,11,18) |