Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_4\times A_4$ |
| Group identifier: | $[48,31]$ |
| Signature: | $[ 0; 2, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $3, 13, 16$ |
The full automorphism group for this family is $C_4:S_4$ with signature $[ 0; 2, 4, 12 ]$.
| Jacobian variety group algebra decomposition: | $E^{3}\times A_{2}^{3}$ |
| Corresponding character(s): | $14, 15$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.48-31.0.2-12-12.1.1
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) (25,26) (27,28) (29,30) (31,32) (33,34) (35,36) (37,38) (39,40) (41,42) (43,44) (45,46) (47,48) | |
| (1,33,21,29,9,41,5,37,17,25,13,45) (2,36,23,30,12,43,6,40,19,26,16,47) (3,34,24,31,10,44,7,38,20,27,14,48) (4,35,22,32,11,42,8,39,18,28,15,46) | |
| (1,46,16,25,18,40,5,42,12,29,22,36) (2,48,13,26,20,37,6,44,9,30,24,33) (3,47,15,27,19,39,7,43,11,31,23,35) (4,45,14,28,17,38,8,41,10,32,21,34) |