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: | $3, 3, 7$ |
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.
5.20-1.0.4-4-10.1.1
| (1,11,6,16) (2,15,7,20) (3,14,8,19) (4,13,9,18) (5,12,10,17) | |
| (1,15,6,20) (2,14,7,19) (3,13,8,18) (4,12,9,17) (5,11,10,16) | |
| (1,7,3,9,5,6,2,8,4,10) (11,17,13,19,15,16,12,18,14,20) |