Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_{16}$ |
| Group identifier: | $[16,1]$ |
| Signature: | $[ 0; 4, 4, 16, 16 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 12, 13$ |
The full automorphism group for this family is $D_{16}$ with signature $[ 0; 2, 2, 4, 16 ]$.
| Jacobian variety group algebra decomposition: | $A_{8}\times A_{4}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.16-1.0.4-4-16-16.8.1
| (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16) | |
| (1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15) | |
| (1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10) | |
| (1,10,5,14,3,12,7,16,2,9,6,13,4,11,8,15) |