Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:D_4$ |
| Group identifier: | $[24,8]$ |
| Signature: | $[ 0; 2, 2, 2, 6 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 4, 9$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{2}$ |
| Corresponding character(s): | $4, 5, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
5.24-8.0.2-2-2-6.2.1
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20) | |
| (1,14) (2,13) (3,15) (4,17) (5,16) (6,18) (7,23) (8,22) (9,24) (10,20) (11,19) (12,21) | |
| (1,9,2,7,3,8) (4,12,5,10,6,11) (13,21,14,19,15,20) (16,24,17,22,18,23) |
5.24-8.0.2-2-2-6.2.2
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20) | |
| (1,18) (2,17) (3,16) (4,15) (5,14) (6,13) (7,21) (8,20) (9,19) (10,24) (11,23) (12,22) | |
| (1,11,3,10,2,12) (4,8,6,7,5,9) (13,23,15,22,14,24) (16,20,18,19,17,21) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.24-8.0.2-2-2-6.2.1
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20) | |
| (1,14) (2,13) (3,15) (4,17) (5,16) (6,18) (7,23) (8,22) (9,24) (10,20) (11,19) (12,21) | |
| (1,9,2,7,3,8) (4,12,5,10,6,11) (13,21,14,19,15,20) (16,24,17,22,18,23) |