Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times D_4$ |
| Group identifier: | $[16,11]$ |
| Signature: | $[ 0; 2, 2, 2, 2, 2 ]$ |
| Conjugacy classes for this refined passport: | $3, 5, 6, 7, 7$ |
| Jacobian variety group algebra decomposition: | $E\times E\times E\times E^{2}$ |
| Corresponding character(s): | $2, 4, 5, 9$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
5.16-11.0.2-2-2-2-2.3.1
| (1,3) (2,4) (5,7) (6,8) (9,11) (10,12) (13,15) (14,16) | |
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
| (1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
| (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) |
5.16-11.0.2-2-2-2-2.3.2
| (1,3) (2,4) (5,7) (6,8) (9,11) (10,12) (13,15) (14,16) | |
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
| (1,8) (2,7) (3,6) (4,5) (9,16) (10,15) (11,14) (12,13) | |
| (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) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.16-11.0.2-2-2-2-2.3.1
| (1,3) (2,4) (5,7) (6,8) (9,11) (10,12) (13,15) (14,16) | |
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
| (1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
| (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) |