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: | $3, 8, 9, 11$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times A_{4}\times A_{8}$ |
| Corresponding character(s): | $7, 10, 11, 13$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.32-41.0.2-4-4-8.5.1
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) (17,21) (18,22) (19,23) (20,24) (25,29) (26,30) (27,31) (28,32) | |
| (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) | |
| (1,17,2,18) (3,20,4,19) (5,21,6,22) (7,24,8,23) (9,27,10,28) (11,25,12,26) (13,31,14,32) (15,29,16,30) | |
| (1,25,4,28,2,26,3,27) (5,29,8,32,6,30,7,31) (9,19,12,17,10,20,11,18) (13,23,16,21,14,24,15,22) |