Family Information
Genus: | $5$ |
Quotient genus: | $0$ |
Group name: | $C_2.C_4^2$ |
Group identifier: | $[32,2]$ |
Signature: | $[ 0; 4, 4, 4 ]$ |
Conjugacy classes for this refined passport: | $9, 13, 18$ |
The full automorphism group for this family is $C_2^3.S_4$ with signature $[ 0; 2, 3, 8 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}$ |
Corresponding character(s): | $9, 10, 12, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.32-2.0.4-4-4.1.1
(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) | |
(1,17,3,19) (2,18,4,20) (5,21,7,23) (6,22,8,24) (9,29,11,31) (10,30,12,32) (13,25,15,27) (14,26,16,28) | |
(1,28,8,29) (2,27,7,30) (3,26,6,31) (4,25,5,32) (9,23,16,18) (10,24,15,17) (11,21,14,20) (12,22,13,19) |