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: | $4, 9, 19$ |
| 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.
7.24-2.0.3-8-24.5.1
| (1,9,5) (2,10,6) (3,11,7) (4,12,8) (13,21,17) (14,22,18) (15,23,19) (16,24,20) | |
| (1,13,3,15,2,14,4,16) (5,17,7,19,6,18,8,20) (9,21,11,23,10,22,12,24) | |
| (1,20,12,14,6,23,3,17,9,16,8,22,2,19,11,13,5,24,4,18,10,15,7,21) |