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: | $7, 10, 11$ |
| 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.
7.32-10.0.4-4-8.3.1
| (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) | |
| (1,20,3,18) (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) | |
| (1,25,7,31,2,26,8,32) (3,27,5,29,4,28,6,30) (9,21,15,20,10,22,16,19) (11,23,13,18,12,24,14,17) |