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: | $8, 9, 11, 12$ |
| 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.
5.32-27.0.2-2-2-4.11.1
| (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) | |
| (1,13) (2,14) (3,15) (4,16) (5,9) (6,10) (7,11) (8,12) (17,29) (18,30) (19,31) (20,32) (21,25) (22,26) (23,27) (24,28) | |
| (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) | |
| (1,22,2,21) (3,24,4,23) (5,17,6,18) (7,19,8,20) (9,32,10,31) (11,30,12,29) (13,27,14,28) (15,25,16,26) |
5.32-27.0.2-2-2-4.11.2
| (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) | |
| (1,16) (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) (3,19) (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) | |
| (1,23,2,24) (3,21,4,22) (5,20,6,19) (7,18,8,17) (9,29,10,30) (11,31,12,32) (13,26,14,25) (15,28,16,27) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.32-27.0.2-2-2-4.11.1
| (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) | |
| (1,13) (2,14) (3,15) (4,16) (5,9) (6,10) (7,11) (8,12) (17,29) (18,30) (19,31) (20,32) (21,25) (22,26) (23,27) (24,28) | |
| (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) | |
| (1,22,2,21) (3,24,4,23) (5,17,6,18) (7,19,8,20) (9,32,10,31) (11,30,12,29) (13,27,14,28) (15,25,16,26) |