Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_4\times A_4$ |
| Group identifier: | $[48,31]$ |
| Signature: | $[ 0; 3, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $5, 13, 15$ |
The full automorphism group for this family is $D_4\times A_4$ with signature $[ 0; 2, 6, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times E^{3}\times A_{2}^{3}$ |
| Corresponding character(s): | $3, 4, 9, 14, 15$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.48-31.0.3-12-12.1.1
| (1,9,17) (2,12,19) (3,10,20) (4,11,18) (5,13,21) (6,16,23) (7,14,24) (8,15,22) (25,33,41) (26,36,43) (27,34,44) (28,35,42) (29,37,45) (30,40,47) (31,38,48) (32,39,46) | |
| (1,35,24,29,11,44,5,39,20,25,15,48) (2,34,22,30,10,42,6,38,18,26,14,46) (3,36,21,31,12,41,7,40,17,27,16,45) (4,33,23,32,9,43,8,37,19,28,13,47) | |
| (1,38,23,25,10,47,5,34,19,29,14,43) (2,39,21,26,11,45,6,35,17,30,15,41) (3,37,22,27,9,46,7,33,18,31,13,42) (4,40,24,28,12,48,8,36,20,32,16,44) |