Family Information
Genus: | $5$ |
Quotient genus: | $0$ |
Group name: | $C_5:C_4$ |
Group identifier: | $[20,1]$ |
Signature: | $[ 0; 4, 4, 10 ]$ |
Conjugacy classes for this refined passport: | $4, 4, 8$ |
The full automorphism group for this family is $C_4\times D_5$ with signature $[ 0; 2, 4, 20 ]$.
Jacobian variety group algebra decomposition: | $E\times A_{4}$ |
Corresponding character(s): | $3, 5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.20-1.0.4-4-10.4.1
(1,16,6,11) (2,20,7,15) (3,19,8,14) (4,18,9,13) (5,17,10,12) | |
(1,18,6,13) (2,17,7,12) (3,16,8,11) (4,20,9,15) (5,19,10,14) | |
(1,9,2,10,3,6,4,7,5,8) (11,19,12,20,13,16,14,17,15,18) |