Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times \OD_{16}$ |
| Group identifier: | $[48,24]$ |
| Signature: | $[ 0; 2, 24, 24 ]$ |
| Conjugacy classes for this refined passport: | $3, 24, 29$ |
The full automorphism group for this family is $D_{12}:C_4$ with signature $[ 0; 2, 4, 24 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}\times E^{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $5, 6, 13, 18, 25, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.48-24.0.2-24-24.2.1
| (1,13) (2,14) (3,15) (4,16) (5,17) (6,18) (7,19) (8,20) (9,21) (10,22) (11,23) (12,24) (25,37) (26,38) (27,39) (28,40) (29,41) (30,42) (31,43) (32,44) (33,45) (34,46) (35,47) (36,48) | |
| (1,34,7,28,10,29,4,35,5,26,11,32,2,33,8,27,9,30,3,36,6,25,12,31) (13,45,19,39,22,42,16,48,17,37,23,43,14,46,20,40,21,41,15,47,18,38,24,44) | |
| (1,43,11,38,6,48,4,41,9,39,7,46,2,44,12,37,5,47,3,42,10,40,8,45) (13,32,23,25,18,35,16,30,21,28,19,33,14,31,24,26,17,36,15,29,22,27,20,34) |