Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{10}$ |
| Group identifier: | $[20,5]$ |
| Signature: | $[ 0; 2, 10, 10 ]$ |
| Conjugacy classes for this refined passport: | $2, 13, 20$ |
The full automorphism group for this family is $C_5:D_4$ with signature $[ 0; 2, 4, 10 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}$ |
| Corresponding character(s): | $6, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.20-5.0.2-10-10.1.1
| (1,6) (2,7) (3,8) (4,9) (5,10) (11,16) (12,17) (13,18) (14,19) (15,20) | |
| (1,12,3,14,5,11,2,13,4,15) (6,17,8,19,10,16,7,18,9,20) | |
| (1,20,4,18,2,16,5,19,3,17) (6,15,9,13,7,11,10,14,8,12) |