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: | $11, 13, 19$ |
The full automorphism group for this family is $\OD_{32}:C_2$ with signature $[ 0; 2, 16, 16 ]$.
| 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.
13.32-17.0.8-16-16.1.1
| (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) | |
| (1,17,5,21,3,19,7,23,2,18,6,22,4,20,8,24) (9,26,13,30,11,28,15,32,10,25,14,29,12,27,16,31) | |
| (1,28,5,32,3,25,7,29,2,27,6,31,4,26,8,30) (9,19,13,23,11,18,15,22,10,20,14,24,12,17,16,21) |