Family Information
Genus: | $5$ |
Quotient genus: | $0$ |
Group name: | $C_2^2:C_4$ |
Group identifier: | $[16,3]$ |
Signature: | $[ 0; 2, 2, 4, 4 ]$ |
Conjugacy classes for this refined passport: | $5, 6, 10, 10$ |
The full automorphism group for this family is $C_4:D_4$ with signature $[ 0; 2, 2, 2, 4 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times E\times E^{2}$ |
Corresponding character(s): | $2, 5, 6, 9$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
5.16-3.0.2-2-4-4.18.1
(1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
(1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) | |
(1,16,4,13) (2,15,3,14) (5,10,8,11) (6,9,7,12) | |
(1,14,4,15) (2,13,3,16) (5,12,8,9) (6,11,7,10) |
5.16-3.0.2-2-4-4.18.2
(1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
(1,8) (2,7) (3,6) (4,5) (9,16) (10,15) (11,14) (12,13) | |
(1,16,4,13) (2,15,3,14) (5,10,8,11) (6,9,7,12) | |
(1,16,4,13) (2,15,3,14) (5,10,8,11) (6,9,7,12) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.16-3.0.2-2-4-4.18.1
(1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
(1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) | |
(1,16,4,13) (2,15,3,14) (5,10,8,11) (6,9,7,12) | |
(1,14,4,15) (2,13,3,16) (5,12,8,9) (6,11,7,10) |