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: | $7, 10, 13$ |
| 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.
7.32-10.0.4-4-8.4.1
| (1,9,2,10) (3,11,4,12) (5,14,6,13) (7,16,8,15) (17,25,18,26) (19,27,20,28) (21,30,22,29) (23,32,24,31) | |
| (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) | |
| (1,26,7,32,2,25,8,31) (3,28,5,30,4,27,6,29) (9,22,15,19,10,21,16,20) (11,24,13,17,12,23,14,18) |