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: | $12, 16, 18$ |
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.
13.32-17.0.8-16-16.8.1
(1,15,4,13,2,16,3,14) (5,10,8,11,6,9,7,12) (17,31,20,29,18,32,19,30) (21,26,24,27,22,25,23,28) | |
(1,23,8,19,4,21,6,17,2,24,7,20,3,22,5,18) (9,32,16,28,12,30,14,26,10,31,15,27,11,29,13,25) | |
(1,29,8,25,4,32,6,28,2,30,7,26,3,31,5,27) (9,22,16,18,12,23,14,19,10,21,15,17,11,24,13,20) |