Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_5:C_4$ |
| Group identifier: | $[20,1]$ |
| Signature: | $[ 0; 4, 4, 5 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 5$ |
The full automorphism group for this family is $C_5:D_4$ with signature $[ 0; 2, 4, 10 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}$ |
| Corresponding character(s): | $5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.20-1.0.4-4-5.1.1
| (1,11,6,16) (2,15,7,20) (3,14,8,19) (4,13,9,18) (5,12,10,17) | |
| (1,20,6,15) (2,19,7,14) (3,18,8,13) (4,17,9,12) (5,16,10,11) | |
| (1,2,3,4,5) (6,7,8,9,10) (11,12,13,14,15) (16,17,18,19,20) |