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: | $12, 15, 19$ |
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.
13.32-17.0.8-16-16.7.1
(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) | |
(1,19,6,24,3,18,8,21,2,20,5,23,4,17,7,22) (9,28,14,31,11,25,16,30,10,27,13,32,12,26,15,29) | |
(1,27,5,31,3,26,7,30,2,28,6,32,4,25,8,29) (9,20,13,24,11,17,15,21,10,19,14,23,12,18,16,22) |