Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $Q_8:C_4$ |
| Group identifier: | $[32,10]$ |
| Signature: | $[ 0; 4, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $8, 10, 14$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times A_{4}$ |
| Corresponding character(s): | $5, 11, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.32-10.0.4-4-8.8.1
| (1,11,2,12) (3,9,4,10) (5,16,6,15) (7,14,8,13) (17,27,18,28) (19,25,20,26) (21,32,22,31) (23,30,24,29) | |
| (1,19,3,17) (2,20,4,18) (5,24,7,22) (6,23,8,21) (9,31,11,29) (10,32,12,30) (13,27,15,25) (14,28,16,26) | |
| (1,28,7,30,2,27,8,29) (3,26,5,32,4,25,6,31) (9,24,15,17,10,23,16,18) (11,22,13,19,12,21,14,20) |