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: | $3, 4, 14, 19$ |
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.
15.20-2.0.4-4-20-20.6.1
| (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) | |
| (1,18,4,19,5,12,8,13,9,16,2,17,3,20,6,11,7,14,10,15) | |
| (1,15,10,14,7,11,6,20,3,17,2,16,9,13,8,12,5,19,4,18) |