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: | $8, 9, 13$ |
| 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.
7.32-10.0.4-4-8.6.1
| (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) | |
| (1,17,3,19) (2,18,4,20) (5,22,7,24) (6,21,8,23) (9,29,11,31) (10,30,12,32) (13,25,15,27) (14,26,16,28) | |
| (1,26,7,32,2,25,8,31) (3,28,5,30,4,27,6,29) (9,22,15,19,10,21,16,20) (11,24,13,17,12,23,14,18) |