Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $\OD_{32}$ |
| Group identifier: | $[32,17]$ |
| Signature: | $[ 0; 8, 16, 16 ]$ |
| Conjugacy classes for this refined passport: | $11, 14, 18$ |
The full automorphism group for this family is $C_2^3.D_8$ with signature $[ 0; 2, 4, 16 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $6, 9, 12, 17$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.32-17.0.8-16-16.2.1
| (1,13,3,15,2,14,4,16) (5,11,7,10,6,12,8,9) (17,29,19,31,18,30,20,32) (21,27,23,26,22,28,24,25) | |
| (1,21,7,18,4,24,5,19,2,22,8,17,3,23,6,20) (9,30,15,25,12,31,13,28,10,29,16,26,11,32,14,27) | |
| (1,30,8,26,4,31,6,27,2,29,7,25,3,32,5,28) (9,21,16,17,12,24,14,20,10,22,15,18,11,23,13,19) |