Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:S_3$ |
| Group identifier: | $[18,4]$ |
| Signature: | $[ 0; 2, 2, 3, 3 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 4, 6$ |
The full automorphism group for this family is $S_3^2$ with signature $[ 0; 2, 2, 2, 3 ]$.
| Jacobian variety group algebra decomposition: | $E^{2}\times E^{2}$ |
| Corresponding character(s): | $3, 6$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
4.18-4.0.2-2-3-3.5.1
| (1,10) (2,12) (3,11) (4,16) (5,18) (6,17) (7,13) (8,15) (9,14) | |
| (1,12) (2,11) (3,10) (4,18) (5,17) (6,16) (7,15) (8,14) (9,13) | |
| (1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18) | |
| (1,8,6) (2,9,4) (3,7,5) (10,17,15) (11,18,13) (12,16,14) |
4.18-4.0.2-2-3-3.5.2
| (1,10) (2,12) (3,11) (4,16) (5,18) (6,17) (7,13) (8,15) (9,14) | |
| (1,18) (2,17) (3,16) (4,15) (5,14) (6,13) (7,12) (8,11) (9,10) | |
| (1,7,4) (2,8,5) (3,9,6) (10,16,13) (11,17,14) (12,18,15) | |
| (1,8,6) (2,9,4) (3,7,5) (10,17,15) (11,18,13) (12,16,14) |
Displaying the unique representative of this refined passport up to braid equivalence.
4.18-4.0.2-2-3-3.5.1
| (1,10) (2,12) (3,11) (4,16) (5,18) (6,17) (7,13) (8,15) (9,14) | |
| (1,12) (2,11) (3,10) (4,18) (5,17) (6,16) (7,15) (8,14) (9,13) | |
| (1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18) | |
| (1,8,6) (2,9,4) (3,7,5) (10,17,15) (11,18,13) (12,16,14) |