Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_4\times D_4$ |
| Group identifier: | $[32,25]$ |
| Signature: | $[ 0; 2, 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $7, 16, 18, 20$ |
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times E\times E^{2}\times E^{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $6, 9, 10, 12, 17, 18, 19$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
13.32-25.0.2-4-4-4.36.1
| (1,21) (2,22) (3,23) (4,24) (5,18) (6,17) (7,20) (8,19) (9,31) (10,32) (11,29) (12,30) (13,28) (14,27) (15,26) (16,25) | |
| (1,18,2,17) (3,20,4,19) (5,22,6,21) (7,24,8,23) (9,28,10,27) (11,26,12,25) (13,32,14,31) (15,30,16,29) | |
| (1,28,4,25) (2,27,3,26) (5,32,8,29) (6,31,7,30) (9,18,12,19) (10,17,11,20) (13,22,16,23) (14,21,15,24) | |
| (1,30,3,32) (2,29,4,31) (5,25,7,27) (6,26,8,28) (9,24,11,22) (10,23,12,21) (13,19,15,17) (14,20,16,18) |
13.32-25.0.2-4-4-4.36.2
| (1,21) (2,22) (3,23) (4,24) (5,18) (6,17) (7,20) (8,19) (9,31) (10,32) (11,29) (12,30) (13,28) (14,27) (15,26) (16,25) | |
| (1,20,2,19) (3,18,4,17) (5,24,6,23) (7,22,8,21) (9,26,10,25) (11,28,12,27) (13,30,14,29) (15,32,16,31) | |
| (1,28,4,25) (2,27,3,26) (5,32,8,29) (6,31,7,30) (9,18,12,19) (10,17,11,20) (13,22,16,23) (14,21,15,24) | |
| (1,32,3,30) (2,31,4,29) (5,27,7,25) (6,28,8,26) (9,22,11,24) (10,21,12,23) (13,17,15,19) (14,18,16,20) |