Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_4^2:C_2$ |
| Group identifier: | $[32,33]$ |
| Signature: | $[ 0; 2, 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $5, 9, 11, 12$ |
| Jacobian variety group algebra decomposition: | $E\times A_{3}^{2}\times E^{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $7, 9, 11, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
13.32-33.0.2-4-4-4.12.1
| (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) | |
| (1,12,4,9) (2,11,3,10) (5,16,8,13) (6,15,7,14) (17,28,20,25) (18,27,19,26) (21,32,24,29) (22,31,23,30) | |
| (1,14,2,13) (3,16,4,15) (5,12,6,11) (7,10,8,9) (17,30,18,29) (19,32,20,31) (21,28,22,27) (23,26,24,25) | |
| (1,23,4,22) (2,24,3,21) (5,18,8,19) (6,17,7,20) (9,29,12,32) (10,30,11,31) (13,28,16,25) (14,27,15,26) |
13.32-33.0.2-4-4-4.12.2
| (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) | |
| (1,12,4,9) (2,11,3,10) (5,16,8,13) (6,15,7,14) (17,28,20,25) (18,27,19,26) (21,32,24,29) (22,31,23,30) | |
| (1,15,2,16) (3,13,4,14) (5,9,6,10) (7,11,8,12) (17,31,18,32) (19,29,20,30) (21,25,22,26) (23,27,24,28) | |
| (1,22,4,23) (2,21,3,24) (5,19,8,18) (6,20,7,17) (9,32,12,29) (10,31,11,30) (13,25,16,28) (14,26,15,27) |