Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_5:Q_8$ |
| Group identifier: | $[40,4]$ |
| Signature: | $[ 0; 4, 4, 20 ]$ |
| Conjugacy classes for this refined passport: | $4, 5, 10$ |
The full automorphism group for this family is $C_{40}:C_2$ with signature $[ 0; 2, 4, 40 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{8}$ |
| Corresponding character(s): | $5, 10$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.40-4.0.4-4-20.1.1
| (1,21,6,26) (2,25,7,30) (3,24,8,29) (4,23,9,28) (5,22,10,27) (11,36,16,31) (12,40,17,35) (13,39,18,34) (14,38,19,33) (15,37,20,32) | |
| (1,35,6,40) (2,34,7,39) (3,33,8,38) (4,32,9,37) (5,31,10,36) (11,25,16,30) (12,24,17,29) (13,23,18,28) (14,22,19,27) (15,21,20,26) | |
| (1,12,8,19,5,11,7,18,4,15,6,17,3,14,10,16,2,13,9,20) (21,32,28,39,25,31,27,38,24,35,26,37,23,34,30,36,22,33,29,40) |