Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{10}$ |
| Group identifier: | $[20,5]$ |
| Signature: | $[ 0; 10, 10, 10 ]$ |
| Conjugacy classes for this refined passport: | $9, 15, 19$ |
The full automorphism group for this family is $C_5\times D_4$ with signature $[ 0; 2, 10, 20 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{2}\times A_{2}$ |
| Corresponding character(s): | $5, 6, 7, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.20-5.0.10-10-10.3.1
| (1,7,3,9,5,6,2,8,4,10) (11,17,13,19,15,16,12,18,14,20) | |
| (1,13,5,12,4,11,3,15,2,14) (6,18,10,17,9,16,8,20,7,19) | |
| (1,18,5,17,4,16,3,20,2,19) (6,13,10,12,9,11,8,15,7,14) |