Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times S_4$ |
| Group identifier: | $[48,48]$ |
| Signature: | $[ 0; 4, 4, 6 ]$ |
| Conjugacy classes for this refined passport: | $8, 9, 10$ |
The full automorphism group for this family is $C_4:S_4$ with signature $[ 0; 2, 4, 12 ]$.
| Jacobian variety group algebra decomposition: | $E^{3}\times E^{3}\times E^{3}$ |
| Corresponding character(s): | $7, 8, 9$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.48-48.0.4-4-6.1.1
| (1,26,4,27) (2,28,3,25) (5,34,8,35) (6,36,7,33) (9,30,12,31) (10,32,11,29) (13,38,16,39) (14,40,15,37) (17,46,20,47) (18,48,19,45) (21,42,24,43) (22,44,23,41) | |
| (1,48,3,46) (2,45,4,47) (5,44,7,42) (6,41,8,43) (9,40,11,38) (10,37,12,39) (13,36,15,34) (14,33,16,35) (17,32,19,30) (18,29,20,31) (21,28,23,26) (22,25,24,27) | |
| (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) |