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: | $3, 9, 20$ |
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.
4.20-5.0.2-10-10.5.1
(1,11) (2,12) (3,13) (4,14) (5,15) (6,16) (7,17) (8,18) (9,19) (10,20) | |
(1,7,3,9,5,6,2,8,4,10) (11,17,13,19,15,16,12,18,14,20) | |
(1,20,4,18,2,16,5,19,3,17) (6,15,9,13,7,11,10,14,8,12) |