Family Information
Genus: | $15$ |
Quotient genus: | $0$ |
Group name: | $C_{20}$ |
Group identifier: | $[20,2]$ |
Signature: | $[ 0; 4, 4, 20, 20 ]$ |
Conjugacy classes for this refined passport: | $4, 4, 18, 19$ |
The full automorphism group for this family is $C_4\times D_5$ with signature $[ 0; 2, 2, 4, 20 ]$.
Jacobian variety group algebra decomposition: | $A_{2}\times E\times A_{8}\times A_{4}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.20-2.0.4-4-20-20.12.1
(1,12,2,11) (3,14,4,13) (5,16,6,15) (7,18,8,17) (9,20,10,19) | |
(1,12,2,11) (3,14,4,13) (5,16,6,15) (7,18,8,17) (9,20,10,19) | |
(1,17,4,20,5,11,8,14,9,15,2,18,3,19,6,12,7,13,10,16) | |
(1,15,10,14,7,11,6,20,3,17,2,16,9,13,8,12,5,19,4,18) |