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: | $5, 7, 11, 14$ |
| 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.
5.32-27.0.2-2-2-4.1.1
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) (17,21) (18,22) (19,23) (20,24) (25,29) (26,30) (27,31) (28,32) | |
| (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) | |
| (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) | |
| (1,29,4,32) (2,30,3,31) (5,26,8,27) (6,25,7,28) (9,23,12,22) (10,24,11,21) (13,20,16,17) (14,19,15,18) |
5.32-27.0.2-2-2-4.1.2
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) (17,21) (18,22) (19,23) (20,24) (25,29) (26,30) (27,31) (28,32) | |
| (1,11) (2,12) (3,9) (4,10) (5,15) (6,16) (7,13) (8,14) (17,27) (18,28) (19,25) (20,26) (21,31) (22,32) (23,29) (24,30) | |
| (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) | |
| (1,31,4,30) (2,32,3,29) (5,28,8,25) (6,27,7,26) (9,21,12,24) (10,22,11,23) (13,18,16,19) (14,17,15,20) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.32-27.0.2-2-2-4.1.1
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) (17,21) (18,22) (19,23) (20,24) (25,29) (26,30) (27,31) (28,32) | |
| (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) | |
| (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) | |
| (1,29,4,32) (2,30,3,31) (5,26,8,27) (6,25,7,28) (9,23,12,22) (10,24,11,21) (13,20,16,17) (14,19,15,18) |