Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_{20}$ |
| Group identifier: | $[20,2]$ |
| Signature: | $[ 0; 5, 20, 20 ]$ |
| Conjugacy classes for this refined passport: | $8, 14, 18$ |
The full automorphism group for this family is $C_5\times D_4$ with signature $[ 0; 2, 10, 20 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{4}\times A_{2}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.20-2.0.5-20-20.10.1
| (1,9,7,5,3) (2,10,8,6,4) (11,19,17,15,13) (12,20,18,16,14) | |
| (1,18,4,19,5,12,8,13,9,16,2,17,3,20,6,11,7,14,10,15) | |
| (1,17,4,20,5,11,8,14,9,15,2,18,3,19,6,12,7,13,10,16) |