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: | $8, 10, 12$ |
| 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.
7.32-10.0.4-4-8.7.1
| (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) | |
| (1,20,3,18) (2,19,4,17) (5,23,7,21) (6,24,8,22) (9,32,11,30) (10,31,12,29) (13,28,15,26) (14,27,16,25) | |
| (1,27,7,29,2,28,8,30) (3,25,5,31,4,26,6,32) (9,23,15,18,10,24,16,17) (11,21,13,20,12,22,14,19) |