Family Information
Genus: | $5$ |
Quotient genus: | $0$ |
Group name: | $C_2^2:C_8$ |
Group identifier: | $[32,5]$ |
Signature: | $[ 0; 2, 8, 8 ]$ |
Conjugacy classes for this refined passport: | $5, 14, 19$ |
The full automorphism group for this family is $C_2^3.S_4$ with signature $[ 0; 2, 3, 8 ]$.
Jacobian variety group algebra decomposition: | $E\times A_{2}\times E^{2}$ |
Corresponding character(s): | $5, 13, 19$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.32-5.0.2-8-8.2.1
(1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) | |
(1,19,4,17,2,20,3,18) (5,23,8,21,6,24,7,22) (9,31,12,29,10,32,11,30) (13,27,16,25,14,28,15,26) | |
(1,26,7,32,2,25,8,31) (3,28,6,29,4,27,5,30) (9,22,15,20,10,21,16,19) (11,24,14,17,12,23,13,18) |