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: | $4, 5, 10$ |
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.
8.32-20.0.4-4-16.3.1
| (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) | |
| (1,20,2,19) (3,18,4,17) (5,21,6,22) (7,24,8,23) (9,32,10,31) (11,30,12,29) (13,28,14,27) (15,26,16,25) | |
| (1,27,8,29,3,26,5,31,2,28,7,30,4,25,6,32) (9,21,16,18,11,23,13,20,10,22,15,17,12,24,14,19) |