Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2:C_4$ |
| Group identifier: | $[16,3]$ |
| Signature: | $[ 0; 2, 4, 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $6, 7, 7, 7, 10$ |
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times A_{3}\times A_{2}^{2}\times E^{2}$ |
| Corresponding character(s): | $2, 4, 5, 6, 9, 10$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
13.16-3.0.2-4-4-4-4.22.1
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,14,4,15) (2,13,3,16) (5,12,8,9) (6,11,7,10) |
13.16-3.0.2-4-4-4-4.22.2
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,11,2,12) (3,9,4,10) (5,13,6,14) (7,15,8,16) | |
| (1,16,4,13) (2,15,3,14) (5,10,8,11) (6,9,7,12) |
13.16-3.0.2-4-4-4-4.22.3
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,11,2,12) (3,9,4,10) (5,13,6,14) (7,15,8,16) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,16,4,13) (2,15,3,14) (5,10,8,11) (6,9,7,12) |
13.16-3.0.2-4-4-4-4.22.4
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,11,2,12) (3,9,4,10) (5,13,6,14) (7,15,8,16) | |
| (1,11,2,12) (3,9,4,10) (5,13,6,14) (7,15,8,16) | |
| (1,14,4,15) (2,13,3,16) (5,12,8,9) (6,11,7,10) |