Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times D_8$ |
| Group identifier: | $[48,25]$ |
| Signature: | $[ 0; 6, 6, 8 ]$ |
| Conjugacy classes for this refined passport: | $10, 13, 14$ |
The full automorphism group for this family is $C_3:D_{16}$ with signature $[ 0; 2, 6, 16 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}^{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $6, 7, 14, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.48-25.0.6-6-8.1.1
| (1,17,9,13,5,21) (2,18,10,14,6,22) (3,20,11,16,7,24) (4,19,12,15,8,23) (25,41,33,37,29,45) (26,42,34,38,30,46) (27,44,35,40,31,48) (28,43,36,39,32,47) | |
| (1,33,5,25,9,29) (2,34,6,26,10,30) (3,36,7,28,11,32) (4,35,8,27,12,31) (13,47,17,39,21,43) (14,48,18,40,22,44) (15,45,19,37,23,41) (16,46,20,38,24,42) | |
| (1,37,4,40,2,38,3,39) (5,41,8,44,6,42,7,43) (9,45,12,48,10,46,11,47) (13,28,16,26,14,27,15,25) (17,32,20,30,18,31,19,29) (21,36,24,34,22,35,23,33) |