Family Information
Genus: | $5$ |
Quotient genus: | $0$ |
Group name: | $D_8$ |
Group identifier: | $[16,7]$ |
Signature: | $[ 0; 2, 2, 2, 2, 2 ]$ |
Conjugacy classes for this refined passport: | $2, 3, 3, 4, 4$ |
Jacobian variety group algebra decomposition: | $E\times A_{2}^{2}$ |
Corresponding character(s): | $4, 6$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 8 of 8 generating vectors for this refined passport.
5.16-7.0.2-2-2-2-2.1.1
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14) | |
(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13) |
5.16-7.0.2-2-2-2-2.1.2
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13) | |
(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14) |
5.16-7.0.2-2-2-2-2.1.3
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16) | |
(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14) | |
(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14) |
5.16-7.0.2-2-2-2-2.1.4
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
(1,6) (2,5) (3,7) (4,8) (9,14) (10,13) (11,15) (12,16) | |
(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13) | |
(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13) |
5.16-7.0.2-2-2-2-2.1.5
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14) | |
(1,11) (2,12) (3,9) (4,10) (5,14) (6,13) (7,15) (8,16) |
5.16-7.0.2-2-2-2-2.1.6
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13) | |
(1,12) (2,11) (3,10) (4,9) (5,13) (6,14) (7,16) (8,15) |
5.16-7.0.2-2-2-2-2.1.7
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
(1,12) (2,11) (3,10) (4,9) (5,13) (6,14) (7,16) (8,15) | |
(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14) |
5.16-7.0.2-2-2-2-2.1.8
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
(1,11) (2,12) (3,9) (4,10) (5,14) (6,13) (7,15) (8,16) | |
(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.16-7.0.2-2-2-2-2.1.1
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
(1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14) | |
(1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13) |