Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_{20}$ |
| Group identifier: | $[20,2]$ |
| Signature: | $[ 0; 4, 4, 20, 20 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 13, 20$ |
The full automorphism group for this family is $D_{20}$ with signature $[ 0; 2, 2, 4, 20 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times E\times A_{8}\times A_{4}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.20-2.0.4-4-20-20.5.1
| (1,11,2,12) (3,13,4,14) (5,15,6,16) (7,17,8,18) (9,19,10,20) | |
| (1,12,2,11) (3,14,4,13) (5,16,6,15) (7,18,8,17) (9,20,10,19) | |
| (1,13,6,18,9,11,4,16,7,19,2,14,5,17,10,12,3,15,8,20) | |
| (1,20,8,15,3,12,10,17,5,14,2,19,7,16,4,11,9,18,6,13) |