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: | $9, 13, 18$ |
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.
8.20-5.0.10-10-10.1.1
(1,7,3,9,5,6,2,8,4,10) (11,17,13,19,15,16,12,18,14,20) | |
(1,12,3,14,5,11,2,13,4,15) (6,17,8,19,10,16,7,18,9,20) | |
(1,19,2,20,3,16,4,17,5,18) (6,14,7,15,8,11,9,12,10,13) |