Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_4:C_8$ |
| Group identifier: | $[32,12]$ |
| Signature: | $[ 0; 4, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $12, 16, 18$ |
The full automorphism group for this family is $D_4:C_8$ with signature $[ 0; 2, 8, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}\times A_{2}\times E^{2}$ |
| Corresponding character(s): | $5, 9, 10, 18, 19$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.32-12.0.4-8-8.16.1
| (1,16,6,11) (2,15,5,12) (3,13,8,10) (4,14,7,9) (17,32,22,27) (18,31,21,28) (19,29,24,26) (20,30,23,25) | |
| (1,20,4,18,2,19,3,17) (5,24,8,22,6,23,7,21) (9,32,12,30,10,31,11,29) (13,28,16,26,14,27,15,25) | |
| (1,27,4,25,2,28,3,26) (5,31,8,29,6,32,7,30) (9,19,12,17,10,20,11,18) (13,23,16,21,14,24,15,22) |