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: | $10, 13, 15$ |
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.
14.48-25.0.6-6-8.2.1
| (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) | |
| (1,34,5,26,9,30) (2,33,6,25,10,29) (3,35,7,27,11,31) (4,36,8,28,12,32) (13,48,17,40,21,44) (14,47,18,39,22,43) (15,46,19,38,23,42) (16,45,20,37,24,41) | |
| (1,38,4,39,2,37,3,40) (5,42,8,43,6,41,7,44) (9,46,12,47,10,45,11,48) (13,27,16,25,14,28,15,26) (17,31,20,29,18,32,19,30) (21,35,24,33,22,36,23,34) |