Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $D_4:C_2$ |
| Group identifier: | $[16,13]$ |
| Signature: | $[ 0; 2, 2, 2, 2, 2, 4 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 4, 4, 5, 7$ |
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times E\times E\times A_{3}^{2}$ |
| Corresponding character(s): | $2, 3, 5, 8, 9$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
11.16-13.0.2-2-2-2-2-4.9.1
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,15) (2,16) (3,14) (4,13) (5,12) (6,11) (7,9) (8,10) | |
| (1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15) |
11.16-13.0.2-2-2-2-2-4.9.2
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,10) (2,9) (3,12) (4,11) (5,13) (6,14) (7,15) (8,16) | |
| (1,16) (2,15) (3,13) (4,14) (5,11) (6,12) (7,10) (8,9) | |
| (1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15) |
11.16-13.0.2-2-2-2-2-4.9.3
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,10) (2,9) (3,12) (4,11) (5,13) (6,14) (7,15) (8,16) | |
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,16) (2,15) (3,13) (4,14) (5,11) (6,12) (7,10) (8,9) | |
| (1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15) |
11.16-13.0.2-2-2-2-2-4.9.4
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
| (1,10) (2,9) (3,12) (4,11) (5,13) (6,14) (7,15) (8,16) | |
| (1,10) (2,9) (3,12) (4,11) (5,13) (6,14) (7,15) (8,16) | |
| (1,15) (2,16) (3,14) (4,13) (5,12) (6,11) (7,9) (8,10) | |
| (1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15) |