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: | $10, 13, 17$ |
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.
8.20-5.0.10-10-10.4.1
| (1,9,2,10,3,6,4,7,5,8) (11,19,12,20,13,16,14,17,15,18) | |
| (1,12,3,14,5,11,2,13,4,15) (6,17,8,19,10,16,7,18,9,20) | |
| (1,17,3,19,5,16,2,18,4,20) (6,12,8,14,10,11,7,13,9,15) |