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: | $5, 9, 11, 13$ |
| 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.
5.32-27.0.2-2-2-4.3.1
| (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) | |
| (1,13) (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) | |
| (1,25,3,27) (2,26,4,28) (5,30,7,32) (6,29,8,31) (9,19,11,17) (10,20,12,18) (13,24,15,22) (14,23,16,21) |
5.32-27.0.2-2-2-4.3.2
| (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) | |
| (1,16) (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) | |
| (1,28,3,26) (2,27,4,25) (5,31,7,29) (6,32,8,30) (9,18,11,20) (10,17,12,19) (13,21,15,23) (14,22,16,24) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.32-27.0.2-2-2-4.3.1
| (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) | |
| (1,13) (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) | |
| (1,25,3,27) (2,26,4,28) (5,30,7,32) (6,29,8,31) (9,19,11,17) (10,20,12,18) (13,24,15,22) (14,23,16,21) |