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: | $3, 4, 4, 8$ |
| 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.
5.24-8.0.2-2-2-6.1.1
| (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) | |
| (1,15) (2,14) (3,13) (4,18) (5,17) (6,16) (7,24) (8,23) (9,22) (10,21) (11,20) (12,19) | |
| (1,8,3,7,2,9) (4,11,6,10,5,12) (13,20,15,19,14,21) (16,23,18,22,17,24) |
5.24-8.0.2-2-2-6.1.2
| (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) | |
| (1,17) (2,16) (3,18) (4,14) (5,13) (6,15) (7,20) (8,19) (9,21) (10,23) (11,22) (12,24) | |
| (1,12,2,10,3,11) (4,9,5,7,6,8) (13,24,14,22,15,23) (16,21,17,19,18,20) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.24-8.0.2-2-2-6.1.1
| (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) | |
| (1,15) (2,14) (3,13) (4,18) (5,17) (6,16) (7,24) (8,23) (9,22) (10,21) (11,20) (12,19) | |
| (1,8,3,7,2,9) (4,11,6,10,5,12) (13,20,15,19,14,21) (16,23,18,22,17,24) |