Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_4\times C_8$ |
| Group identifier: | $[32,3]$ |
| Signature: | $[ 0; 4, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $10, 20, 25$ |
The full automorphism group for this family is $D_4:C_8$ with signature $[ 0; 2, 8, 8 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{2}\times E\times E\times E$ |
| Corresponding character(s): | $6, 7, 8, 10, 11, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.32-3.0.4-8-8.12.1
| (1,11,3,9) (2,12,4,10) (5,15,7,13) (6,16,8,14) (17,27,19,25) (18,28,20,26) (21,31,23,29) (22,32,24,30) | |
| (1,22,6,18,2,21,5,17) (3,24,8,20,4,23,7,19) (9,30,14,26,10,29,13,25) (11,32,16,28,12,31,15,27) | |
| (1,25,7,31,2,26,8,32) (3,27,5,29,4,28,6,30) (9,19,15,21,10,20,16,22) (11,17,13,23,12,18,14,24) |