Family Information
Genus: | $6$ |
Quotient genus: | $0$ |
Group name: | $S_3$ |
Group identifier: | $[6,1]$ |
Signature: | $[ 0; 2, 2, 3, 3, 3, 3 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 3, 3, 3, 3$ |
Jacobian variety group algebra decomposition: | $A_{3}^{2}$ |
Corresponding character(s): | $3$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | yes |
Trigonal automorphism: | (1,2,3) (4,5,6) |
Generating vector(s)
Displaying 8 of 8 generating vectors for this refined passport.
6.6-1.0.2-2-3-3-3-3.1.1
(1,4) (2,6) (3,5) | |
(1,4) (2,6) (3,5) | |
(1,2,3) (4,5,6) | |
(1,2,3) (4,5,6) | |
(1,3,2) (4,6,5) | |
(1,3,2) (4,6,5) |
6.6-1.0.2-2-3-3-3-3.1.2
(1,4) (2,6) (3,5) | |
(1,4) (2,6) (3,5) | |
(1,2,3) (4,5,6) | |
(1,3,2) (4,6,5) | |
(1,2,3) (4,5,6) | |
(1,3,2) (4,6,5) |
6.6-1.0.2-2-3-3-3-3.1.3
(1,4) (2,6) (3,5) | |
(1,4) (2,6) (3,5) | |
(1,2,3) (4,5,6) | |
(1,3,2) (4,6,5) | |
(1,3,2) (4,6,5) | |
(1,2,3) (4,5,6) |
6.6-1.0.2-2-3-3-3-3.1.4
(1,4) (2,6) (3,5) | |
(1,6) (2,5) (3,4) | |
(1,2,3) (4,5,6) | |
(1,2,3) (4,5,6) | |
(1,2,3) (4,5,6) | |
(1,2,3) (4,5,6) |
6.6-1.0.2-2-3-3-3-3.1.5
(1,4) (2,6) (3,5) | |
(1,6) (2,5) (3,4) | |
(1,2,3) (4,5,6) | |
(1,3,2) (4,6,5) | |
(1,3,2) (4,6,5) | |
(1,3,2) (4,6,5) |
6.6-1.0.2-2-3-3-3-3.1.6
(1,4) (2,6) (3,5) | |
(1,6) (2,5) (3,4) | |
(1,3,2) (4,6,5) | |
(1,2,3) (4,5,6) | |
(1,3,2) (4,6,5) | |
(1,3,2) (4,6,5) |
6.6-1.0.2-2-3-3-3-3.1.7
(1,4) (2,6) (3,5) | |
(1,6) (2,5) (3,4) | |
(1,3,2) (4,6,5) | |
(1,3,2) (4,6,5) | |
(1,2,3) (4,5,6) | |
(1,3,2) (4,6,5) |
6.6-1.0.2-2-3-3-3-3.1.8
(1,4) (2,6) (3,5) | |
(1,6) (2,5) (3,4) | |
(1,3,2) (4,6,5) | |
(1,3,2) (4,6,5) | |
(1,3,2) (4,6,5) | |
(1,2,3) (4,5,6) |
Displaying the unique representative of this refined passport up to braid equivalence.
6.6-1.0.2-2-3-3-3-3.1.1
(1,4) (2,6) (3,5) | |
(1,4) (2,6) (3,5) | |
(1,2,3) (4,5,6) | |
(1,2,3) (4,5,6) | |
(1,3,2) (4,6,5) | |
(1,3,2) (4,6,5) |