Family Information
Genus: | $5$ |
Quotient genus: | $0$ |
Group name: | $C_2\times D_4$ |
Group identifier: | $[16,11]$ |
Signature: | $[ 0; 2, 2, 2, 2, 2 ]$ |
Conjugacy classes for this refined passport: | $4, 6, 6, 7, 8$ |
Jacobian variety group algebra decomposition: | $E\times E\times E\times E^{2}$ |
Corresponding character(s): | $3, 4, 5, 9$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
5.16-11.0.2-2-2-2-2.9.1
(1,4) (2,3) (5,8) (6,7) (9,12) (10,11) (13,16) (14,15) | |
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
(1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
(1,12) (2,11) (3,10) (4,9) (5,15) (6,16) (7,13) (8,14) |
5.16-11.0.2-2-2-2-2.9.2
(1,4) (2,3) (5,8) (6,7) (9,12) (10,11) (13,16) (14,15) | |
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
(1,8) (2,7) (3,6) (4,5) (9,16) (10,15) (11,14) (12,13) | |
(1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
(1,11) (2,12) (3,9) (4,10) (5,16) (6,15) (7,14) (8,13) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.16-11.0.2-2-2-2-2.9.1
(1,4) (2,3) (5,8) (6,7) (9,12) (10,11) (13,16) (14,15) | |
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
(1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) | |
(1,12) (2,11) (3,10) (4,9) (5,15) (6,16) (7,13) (8,14) |