Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times Q_{16}$ |
| Group identifier: | $[32,41]$ |
| Signature: | $[ 0; 2, 4, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $4, 8, 10, 13$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times A_{8}\times A_{4}$ |
| Corresponding character(s): | $4, 10, 11, 13$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.32-41.0.2-4-4-8.15.1
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) (17,22) (18,21) (19,24) (20,23) (25,30) (26,29) (27,32) (28,31) | |
| (1,13,2,14) (3,16,4,15) (5,9,6,10) (7,12,8,11) (17,29,18,30) (19,32,20,31) (21,25,22,26) (23,28,24,27) | |
| (1,22,2,21) (3,23,4,24) (5,18,6,17) (7,19,8,20) (9,32,10,31) (11,30,12,29) (13,28,14,27) (15,26,16,25) | |
| (1,29,4,32,2,30,3,31) (5,25,8,28,6,26,7,27) (9,23,12,21,10,24,11,22) (13,19,16,17,14,20,15,18) |