Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $\OD_{32}$ |
| Group identifier: | $[32,17]$ |
| Signature: | $[ 0; 4, 16, 16 ]$ |
| Conjugacy classes for this refined passport: | $6, 13, 18$ |
The full automorphism group for this family is $\OD_{32}:C_2$ with signature $[ 0; 2, 8, 16 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $5, 12, 17$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.32-17.0.4-16-16.1.1
| (1,11,2,12) (3,10,4,9) (5,15,6,16) (7,14,8,13) (17,27,18,28) (19,26,20,25) (21,31,22,32) (23,30,24,29) | |
| (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) | |
| (1,30,8,26,4,31,6,27,2,29,7,25,3,32,5,28) (9,21,16,17,12,24,14,20,10,22,15,18,11,23,13,19) |