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: | $5, 7, 8, 14$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times A_{2}^{2}\times A_{3}^{2}$ |
| Corresponding character(s): | $6, 9, 11, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
13.32-33.0.2-4-4-4.5.1
| (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) | |
| (1,7,3,5) (2,8,4,6) (9,15,11,13) (10,16,12,14) (17,23,19,21) (18,24,20,22) (25,31,27,29) (26,32,28,30) | |
| (1,9,4,12) (2,10,3,11) (5,13,8,16) (6,14,7,15) (17,25,20,28) (18,26,19,27) (21,29,24,32) (22,30,23,31) | |
| (1,29,3,31) (2,30,4,32) (5,28,7,26) (6,27,8,25) (9,22,11,24) (10,21,12,23) (13,19,15,17) (14,20,16,18) |
13.32-33.0.2-4-4-4.5.2
| (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) | |
| (1,7,3,5) (2,8,4,6) (9,15,11,13) (10,16,12,14) (17,23,19,21) (18,24,20,22) (25,31,27,29) (26,32,28,30) | |
| (1,11,4,10) (2,12,3,9) (5,15,8,14) (6,16,7,13) (17,27,20,26) (18,28,19,25) (21,31,24,30) (22,32,23,29) | |
| (1,31,3,29) (2,32,4,30) (5,26,7,28) (6,25,8,27) (9,24,11,22) (10,23,12,21) (13,17,15,19) (14,18,16,20) |