Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $\OD_{32}$ |
| Group identifier: | $[32,17]$ |
| Signature: | $[ 0; 2, 16, 16 ]$ |
| Conjugacy classes for this refined passport: | $3, 14, 19$ |
The full automorphism group for this family is $D_8:C_4$ with signature $[ 0; 2, 4, 16 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $6, 9, 17$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.32-17.0.2-16-16.2.1
| (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) | |
| (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) | |
| (1,28,5,32,3,25,7,29,2,27,6,31,4,26,8,30) (9,19,13,23,11,18,15,22,10,20,14,24,12,17,16,21) |