Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{16}$ |
| Group identifier: | $[32,16]$ |
| Signature: | $[ 0; 2, 16, 16 ]$ |
| Conjugacy classes for this refined passport: | $3, 17, 32$ |
The full automorphism group for this family is $D_8:C_4$ with signature $[ 0; 2, 4, 16 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}\times A_{2}\times E$ |
| Corresponding character(s): | $4, 6, 10$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.32-16.0.2-16-16.1.1
| (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) | |
| (1,17,5,21,3,19,7,23,2,18,6,22,4,20,8,24) (9,25,13,29,11,27,15,31,10,26,14,30,12,28,16,32) | |
| (1,32,8,28,4,30,6,26,2,31,7,27,3,29,5,25) (9,24,16,20,12,22,14,18,10,23,15,19,11,21,13,17) |