Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times \SD_{16}$ |
| Group identifier: | $[32,40]$ |
| Signature: | $[ 0; 2, 4, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $6, 8, 10, 14$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times A_{3}^{2}\times A_{3}^{2}$ |
| Corresponding character(s): | $4, 9, 11, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
15.32-40.0.2-4-4-8.8.1
| (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) | |
| (1,7,2,8) (3,6,4,5) (9,15,10,16) (11,14,12,13) (17,23,18,24) (19,22,20,21) (25,31,26,32) (27,30,28,29) | |
| (1,21,2,22) (3,24,4,23) (5,17,6,18) (7,20,8,19) (9,31,10,32) (11,29,12,30) (13,27,14,28) (15,25,16,26) | |
| (1,32,4,30,2,31,3,29) (5,28,8,26,6,27,7,25) (9,22,12,23,10,21,11,24) (13,18,16,19,14,17,15,20) |
15.32-40.0.2-4-4-8.8.2
| (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) | |
| (1,7,2,8) (3,6,4,5) (9,15,10,16) (11,14,12,13) (17,23,18,24) (19,22,20,21) (25,31,26,32) (27,30,28,29) | |
| (1,23,2,24) (3,21,4,22) (5,19,6,20) (7,17,8,18) (9,30,10,29) (11,31,12,32) (13,26,14,25) (15,27,16,28) | |
| (1,30,3,32,2,29,4,31) (5,26,7,28,6,25,8,27) (9,23,11,22,10,24,12,21) (13,19,15,18,14,20,16,17) |