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: | $2, 2, 4, 5$ |
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.
4.18-4.0.2-2-3-3.4.1
(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) | |
(1,7,4) (2,8,5) (3,9,6) (10,16,13) (11,17,14) (12,18,15) | |
(1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) |
4.18-4.0.2-2-3-3.4.2
(1,10) (2,12) (3,11) (4,16) (5,18) (6,17) (7,13) (8,15) (9,14) | |
(1,17) (2,16) (3,18) (4,14) (5,13) (6,15) (7,11) (8,10) (9,12) | |
(1,7,4) (2,8,5) (3,9,6) (10,16,13) (11,17,14) (12,18,15) | |
(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.
4.18-4.0.2-2-3-3.4.1
(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) | |
(1,7,4) (2,8,5) (3,9,6) (10,16,13) (11,17,14) (12,18,15) | |
(1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) |