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: | $3, 4, 5, 7$ |
| 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.
10.16-9.0.4-4-4-8.2.1
| (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) | |
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) | |
| (1,16,3,13,2,15,4,14) (5,9,7,11,6,10,8,12) |
10.16-9.0.4-4-4-8.2.2
| (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) | |
| (1,11,2,12) (3,9,4,10) (5,14,6,13) (7,15,8,16) | |
| (1,14,4,15,2,13,3,16) (5,12,8,10,6,11,7,9) |