Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2\wr C_2$ |
| Group identifier: | $[32,27]$ |
| Signature: | $[ 0; 2, 2, 2, 4 ]$ |
| Conjugacy classes for this refined passport: | $8, 10, 11, 12$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{2}$ |
| Corresponding character(s): | $3, 10, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
5.32-27.0.2-2-2-4.12.1
| (1,10) (2,9) (3,12) (4,11) (5,14) (6,13) (7,16) (8,15) (17,26) (18,25) (19,28) (20,27) (21,30) (22,29) (23,32) (24,31) | |
| (1,14) (2,13) (3,16) (4,15) (5,10) (6,9) (7,12) (8,11) (17,30) (18,29) (19,32) (20,31) (21,26) (22,25) (23,28) (24,27) | |
| (1,17) (2,18) (3,19) (4,20) (5,22) (6,21) (7,24) (8,23) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29) | |
| (1,21,2,22) (3,23,4,24) (5,18,6,17) (7,20,8,19) (9,31,10,32) (11,29,12,30) (13,28,14,27) (15,26,16,25) |
5.32-27.0.2-2-2-4.12.2
| (1,10) (2,9) (3,12) (4,11) (5,14) (6,13) (7,16) (8,15) (17,26) (18,25) (19,28) (20,27) (21,30) (22,29) (23,32) (24,31) | |
| (1,15) (2,16) (3,13) (4,14) (5,11) (6,12) (7,9) (8,10) (17,31) (18,32) (19,29) (20,30) (21,27) (22,28) (23,25) (24,26) | |
| (1,17) (2,18) (3,19) (4,20) (5,22) (6,21) (7,24) (8,23) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29) | |
| (1,24,2,23) (3,22,4,21) (5,19,6,20) (7,17,8,18) (9,30,10,29) (11,32,12,31) (13,25,14,26) (15,27,16,28) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.32-27.0.2-2-2-4.12.1
| (1,10) (2,9) (3,12) (4,11) (5,14) (6,13) (7,16) (8,15) (17,26) (18,25) (19,28) (20,27) (21,30) (22,29) (23,32) (24,31) | |
| (1,14) (2,13) (3,16) (4,15) (5,10) (6,9) (7,12) (8,11) (17,30) (18,29) (19,32) (20,31) (21,26) (22,25) (23,28) (24,27) | |
| (1,17) (2,18) (3,19) (4,20) (5,22) (6,21) (7,24) (8,23) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29) | |
| (1,21,2,22) (3,23,4,24) (5,18,6,17) (7,20,8,19) (9,31,10,32) (11,29,12,30) (13,28,14,27) (15,26,16,25) |