Family Information
Genus: | $5$ |
Quotient genus: | $0$ |
Group name: | $\OD_{16}:C_2$ |
Group identifier: | $[32,7]$ |
Signature: | $[ 0; 2, 8, 8 ]$ |
Conjugacy classes for this refined passport: | $5, 8, 10$ |
The full automorphism group for this family is $C_2\wr C_4$ with signature $[ 0; 2, 4, 8 ]$.
Jacobian variety group algebra decomposition: | $E\times E^{4}$ |
Corresponding character(s): | $5, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.32-7.0.2-8-8.3.1
(1,11) (2,12) (3,9) (4,10) (5,15) (6,16) (7,13) (8,14) (17,27) (18,28) (19,25) (20,26) (21,31) (22,32) (23,29) (24,30) | |
(1,17,3,19,2,18,4,20) (5,22,7,24,6,21,8,23) (9,29,11,31,10,30,12,32) (13,26,15,28,14,25,16,27) | |
(1,26,7,32,2,25,8,31) (3,27,6,30,4,28,5,29) (9,22,15,20,10,21,16,19) (11,23,14,18,12,24,13,17) |