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: | $12, 16, 19$ |
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.
8.20-5.0.10-10-10.12.1
| (1,10,4,8,2,6,5,9,3,7) (11,20,14,18,12,16,15,19,13,17) | |
| (1,15,4,13,2,11,5,14,3,12) (6,20,9,18,7,16,10,19,8,17) | |
| (1,18,5,17,4,16,3,20,2,19) (6,13,10,12,9,11,8,15,7,14) |