Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $\SL(2,3):C_2$ |
| Group identifier: | $[48,33]$ |
| Signature: | $[ 0; 3, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $4, 11, 11$ |
The full automorphism group for this family is $\SL(2,3):C_2^2$ with signature $[ 0; 2, 6, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}^{2}\times A_{2}^{2}\times E^{3}$ |
| Corresponding character(s): | $3, 4, 7, 9, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.48-33.0.3-12-12.1.1
| (1,9,17) (2,10,18) (3,15,21) (4,16,22) (5,11,23) (6,12,24) (7,13,19) (8,14,20) (25,33,41) (26,34,42) (27,39,45) (28,40,46) (29,35,47) (30,36,48) (31,37,43) (32,38,44) | |
| (1,37,23,26,13,48,2,38,24,25,14,47) (3,35,20,28,11,43,4,36,19,27,12,44) (5,40,18,30,16,41,6,39,17,29,15,42) (7,34,21,32,10,46,8,33,22,31,9,45) | |
| (1,35,21,26,11,46,2,36,22,25,12,45) (3,38,18,28,14,41,4,37,17,27,13,42) (5,34,19,30,10,44,6,33,20,29,9,43) (7,39,24,32,15,47,8,40,23,31,16,48) |