Family Information
Genus: | $8$ |
Quotient genus: | $0$ |
Group name: | $C_2\times C_{10}$ |
Group identifier: | $[20,5]$ |
Signature: | $[ 0; 10, 10, 10 ]$ |
Conjugacy classes for this refined passport: | $12, 14, 18$ |
The full automorphism group for this family is $C_5\times D_4$ with signature $[ 0; 2, 10, 20 ]$.
Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{2}\times A_{2}$ |
Corresponding character(s): | $5, 6, 7, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.20-5.0.10-10-10.10.1
(1,10,4,8,2,6,5,9,3,7) (11,20,14,18,12,16,15,19,13,17) | |
(1,14,2,15,3,11,4,12,5,13) (6,19,7,20,8,16,9,17,10,18) | |
(1,19,2,20,3,16,4,17,5,18) (6,14,7,15,8,11,9,12,10,13) |