Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $Q_{16}$ |
| Group identifier: | $[16,9]$ |
| Signature: | $[ 0; 4, 4, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 5, 6$ |
| Jacobian variety group algebra decomposition: | $E^{2}\times A_{8}$ |
| Corresponding character(s): | $5, 6$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
10.16-9.0.4-4-4-8.1.1
| (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16) | |
| (1,5,2,6) (3,8,4,7) (9,13,10,14) (11,16,12,15) | |
| (1,10,2,9) (3,11,4,12) (5,16,6,15) (7,14,8,13) | |
| (1,15,3,14,2,16,4,13) (5,10,7,12,6,9,8,11) |
10.16-9.0.4-4-4-8.1.2
| (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16) | |
| (1,5,2,6) (3,8,4,7) (9,13,10,14) (11,16,12,15) | |
| (1,12,2,11) (3,10,4,9) (5,13,6,14) (7,16,8,15) | |
| (1,13,4,16,2,14,3,15) (5,11,8,9,6,12,7,10) |