Family Information
Genus: | $5$ |
Quotient genus: | $0$ |
Group name: | $C_2\times D_4$ |
Group identifier: | $[16,11]$ |
Signature: | $[ 0; 2, 2, 4, 4 ]$ |
Conjugacy classes for this refined passport: | $5, 6, 9, 10$ |
The full automorphism group for this family is $C_2^2\wr C_2$ with signature $[ 0; 2, 2, 2, 4 ]$.
Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{2}$ |
Corresponding character(s): | $7, 9, 10$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
5.16-11.0.2-2-4-4.1.1
(1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
(1,13,2,14) (3,15,4,16) (5,10,6,9) (7,12,8,11) | |
(1,16,2,15) (3,14,4,13) (5,11,6,12) (7,9,8,10) |
5.16-11.0.2-2-4-4.1.2
(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) | |
(1,13,2,14) (3,15,4,16) (5,10,6,9) (7,12,8,11) | |
(1,15,2,16) (3,13,4,14) (5,12,6,11) (7,10,8,9) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.16-11.0.2-2-4-4.1.1
(1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
(1,13,2,14) (3,15,4,16) (5,10,6,9) (7,12,8,11) | |
(1,16,2,15) (3,14,4,13) (5,11,6,12) (7,9,8,10) |