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: | $4, 9, 16$ |
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.
4.20-5.0.2-10-10.9.1
(1,16) (2,17) (3,18) (4,19) (5,20) (6,11) (7,12) (8,13) (9,14) (10,15) | |
(1,7,3,9,5,6,2,8,4,10) (11,17,13,19,15,16,12,18,14,20) | |
(1,15,4,13,2,11,5,14,3,12) (6,20,9,18,7,16,10,19,8,17) |