Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times S_3$ |
| Group identifier: | $[18,3]$ |
| Signature: | $[ 0; 2, 2, 3, 3 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 6, 7$ |
The full automorphism group for this family is $S_3^2$ with signature $[ 0; 2, 2, 2, 3 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times E^{2}$ |
| Corresponding character(s): | $4, 7$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
4.18-3.0.2-2-3-3.3.1
| (1,10) (2,12) (3,11) (4,13) (5,15) (6,14) (7,16) (8,18) (9,17) | |
| (1,10) (2,12) (3,11) (4,13) (5,15) (6,14) (7,16) (8,18) (9,17) | |
| (1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) | |
| (1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) |
4.18-3.0.2-2-3-3.3.2
| (1,10) (2,12) (3,11) (4,13) (5,15) (6,14) (7,16) (8,18) (9,17) | |
| (1,12) (2,11) (3,10) (4,15) (5,14) (6,13) (7,18) (8,17) (9,16) | |
| (1,6,8) (2,4,9) (3,5,7) (10,15,17) (11,13,18) (12,14,16) | |
| (1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) |
Displaying the unique representative of this refined passport up to braid equivalence.
4.18-3.0.2-2-3-3.3.1
| (1,10) (2,12) (3,11) (4,13) (5,15) (6,14) (7,16) (8,18) (9,17) | |
| (1,10) (2,12) (3,11) (4,13) (5,15) (6,14) (7,16) (8,18) (9,17) | |
| (1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) | |
| (1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) |