Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $D_8:C_2$ |
| Group identifier: | $[32,43]$ |
| Signature: | $[ 0; 2, 2, 2, 4 ]$ |
| Conjugacy classes for this refined passport: | $4, 5, 6, 9$ |
| Jacobian variety group algebra decomposition: | $E\times E^{4}$ |
| Corresponding character(s): | $8, 11$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
5.32-43.0.2-2-2-4.1.1
| (1,9) (2,10) (3,12) (4,11) (5,13) (6,14) (7,16) (8,15) (17,25) (18,26) (19,28) (20,27) (21,29) (22,30) (23,32) (24,31) | |
| (1,13) (2,14) (3,16) (4,15) (5,9) (6,10) (7,12) (8,11) (17,29) (18,30) (19,32) (20,31) (21,25) (22,26) (23,28) (24,27) | |
| (1,17) (2,18) (3,20) (4,19) (5,22) (6,21) (7,23) (8,24) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29) | |
| (1,21,2,22) (3,24,4,23) (5,18,6,17) (7,19,8,20) (9,31,10,32) (11,29,12,30) (13,28,14,27) (15,26,16,25) |
5.32-43.0.2-2-2-4.1.2
| (1,9) (2,10) (3,12) (4,11) (5,13) (6,14) (7,16) (8,15) (17,25) (18,26) (19,28) (20,27) (21,29) (22,30) (23,32) (24,31) | |
| (1,14) (2,13) (3,15) (4,16) (5,10) (6,9) (7,11) (8,12) (17,30) (18,29) (19,31) (20,32) (21,26) (22,25) (23,27) (24,28) | |
| (1,17) (2,18) (3,20) (4,19) (5,22) (6,21) (7,23) (8,24) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29) | |
| (1,22,2,21) (3,23,4,24) (5,17,6,18) (7,20,8,19) (9,32,10,31) (11,30,12,29) (13,27,14,28) (15,25,16,26) |
5.32-43.0.2-2-2-4.1.3
| (1,9) (2,10) (3,12) (4,11) (5,13) (6,14) (7,16) (8,15) (17,25) (18,26) (19,28) (20,27) (21,29) (22,30) (23,32) (24,31) | |
| (1,16) (2,15) (3,14) (4,13) (5,12) (6,11) (7,10) (8,9) (17,32) (18,31) (19,30) (20,29) (21,28) (22,27) (23,26) (24,25) | |
| (1,17) (2,18) (3,20) (4,19) (5,22) (6,21) (7,23) (8,24) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29) | |
| (1,23,2,24) (3,21,4,22) (5,20,6,19) (7,18,8,17) (9,30,10,29) (11,31,12,32) (13,25,14,26) (15,28,16,27) |
5.32-43.0.2-2-2-4.1.4
| (1,9) (2,10) (3,12) (4,11) (5,13) (6,14) (7,16) (8,15) (17,25) (18,26) (19,28) (20,27) (21,29) (22,30) (23,32) (24,31) | |
| (1,16) (2,15) (3,14) (4,13) (5,12) (6,11) (7,10) (8,9) (17,32) (18,31) (19,30) (20,29) (21,28) (22,27) (23,26) (24,25) | |
| (1,20) (2,19) (3,18) (4,17) (5,23) (6,24) (7,21) (8,22) (9,25) (10,26) (11,28) (12,27) (13,30) (14,29) (15,31) (16,32) | |
| (1,21,2,22) (3,24,4,23) (5,18,6,17) (7,19,8,20) (9,31,10,32) (11,29,12,30) (13,28,14,27) (15,26,16,25) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.32-43.0.2-2-2-4.1.1
| (1,9) (2,10) (3,12) (4,11) (5,13) (6,14) (7,16) (8,15) (17,25) (18,26) (19,28) (20,27) (21,29) (22,30) (23,32) (24,31) | |
| (1,13) (2,14) (3,16) (4,15) (5,9) (6,10) (7,12) (8,11) (17,29) (18,30) (19,32) (20,31) (21,25) (22,26) (23,28) (24,27) | |
| (1,17) (2,18) (3,20) (4,19) (5,22) (6,21) (7,23) (8,24) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29) | |
| (1,21,2,22) (3,24,4,23) (5,18,6,17) (7,19,8,20) (9,31,10,32) (11,29,12,30) (13,28,14,27) (15,26,16,25) |