Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $\SD_{16}$ |
| Group identifier: | $[16,8]$ |
| Signature: | $[ 0; 2, 4, 4, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $2, 5, 5, 7, 7$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times A_{6}^{2}$ |
| Corresponding character(s): | $2, 5, 6$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
15.16-8.0.2-4-4-8-8.3.1
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) | |
| (1,10,2,9) (3,11,4,12) (5,16,6,15) (7,14,8,13) | |
| (1,14,3,16,2,13,4,15) (5,11,7,10,6,12,8,9) | |
| (1,16,4,14,2,15,3,13) (5,10,8,11,6,9,7,12) |
15.16-8.0.2-4-4-8-8.3.2
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) | |
| (1,12,2,11) (3,10,4,9) (5,13,6,14) (7,16,8,15) | |
| (1,14,3,16,2,13,4,15) (5,11,7,10,6,12,8,9) | |
| (1,14,3,16,2,13,4,15) (5,11,7,10,6,12,8,9) |