Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $Q_{32}$ |
| Group identifier: | $[32,20]$ |
| Signature: | $[ 0; 4, 4, 16 ]$ |
| Conjugacy classes for this refined passport: | $4, 5, 9$ |
The full automorphism group for this family is $\SD_{64}$ with signature $[ 0; 2, 4, 32 ]$.
| Jacobian variety group algebra decomposition: | $A_{8}$ |
| Corresponding character(s): | $8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.32-20.0.4-4-16.2.1
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) (17,25,18,26) (19,28,20,27) (21,31,22,32) (23,29,24,30) | |
| (1,19,2,20) (3,17,4,18) (5,22,6,21) (7,23,8,24) (9,31,10,32) (11,29,12,30) (13,27,14,28) (15,25,16,26) | |
| (1,28,8,30,3,25,5,32,2,27,7,29,4,26,6,31) (9,22,16,17,11,24,13,19,10,21,15,18,12,23,14,20) |