Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2\times A_4$ |
| Group identifier: | $[48,49]$ |
| Signature: | $[ 0; 6, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $11, 13, 15$ |
The full automorphism group for this family is $D_4\times A_4$ with signature $[ 0; 2, 6, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times E\times E^{3}\times E^{3}\times E^{3}$ |
| Corresponding character(s): | $5, 7, 8, 9, 13, 14, 15$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.48-49.0.6-6-6.1.1
| (1,17,9,13,5,21) (2,20,11,14,8,23) (3,18,12,15,6,24) (4,19,10,16,7,22) (25,41,33,37,29,45) (26,44,35,38,32,47) (27,42,36,39,30,48) (28,43,34,40,31,46) | |
| (1,31,12,25,7,36) (2,30,10,26,6,34) (3,32,9,27,8,33) (4,29,11,28,5,35) (13,43,24,37,19,48) (14,42,22,38,18,46) (15,44,21,39,20,45) (16,41,23,40,17,47) | |
| (1,42,11,37,6,47) (2,43,9,38,7,45) (3,41,10,39,5,46) (4,44,12,40,8,48) (13,30,23,25,18,35) (14,31,21,26,19,33) (15,29,22,27,17,34) (16,32,24,28,20,36) |