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: | $8, 9, 11$ |
| 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.
7.32-10.0.4-4-8.5.1
| (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) | |
| (1,18,3,20) (2,17,4,19) (5,21,7,23) (6,22,8,24) (9,30,11,32) (10,29,12,31) (13,26,15,28) (14,25,16,27) | |
| (1,25,7,31,2,26,8,32) (3,27,5,29,4,28,6,30) (9,21,15,20,10,22,16,19) (11,23,13,18,12,24,14,17) |