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: | $3, 4, 15, 18$ |
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.
15.20-2.0.4-4-20-20.7.1
| (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) | |
| (1,16,10,13,7,12,6,19,3,18,2,15,9,14,8,11,5,20,4,17) | |
| (1,17,4,20,5,11,8,14,9,15,2,18,3,19,6,12,7,13,10,16) |