Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_5:C_4$ |
| Group identifier: | $[20,1]$ |
| Signature: | $[ 0; 4, 4, 10 ]$ |
| Conjugacy classes for this refined passport: | $4, 4, 7$ |
The full automorphism group for this family is $C_4\times D_5$ with signature $[ 0; 2, 4, 20 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{4}$ |
| Corresponding character(s): | $3, 5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.20-1.0.4-4-10.3.1
| (1,16,6,11) (2,20,7,15) (3,19,8,14) (4,18,9,13) (5,17,10,12) | |
| (1,20,6,15) (2,19,7,14) (3,18,8,13) (4,17,9,12) (5,16,10,11) | |
| (1,7,3,9,5,6,2,8,4,10) (11,17,13,19,15,16,12,18,14,20) |