Family Information
Genus: | $8$ |
Quotient genus: | $0$ |
Group name: | $Q_8$ |
Group identifier: | $[8,4]$ |
Signature: | $[ 0; 4, 4, 4, 4, 4 ]$ |
Conjugacy classes for this refined passport: | $3, 4, 4, 4, 5$ |
Jacobian variety group algebra decomposition: | $E\times E\times A_{6}$ |
Corresponding character(s): | $3, 4, 5$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
8.8-4.0.4-4-4-4-4.2.1
(1,3,2,4) (5,7,6,8) | |
(1,5,2,6) (3,8,4,7) | |
(1,5,2,6) (3,8,4,7) | |
(1,5,2,6) (3,8,4,7) | |
(1,8,2,7) (3,6,4,5) |
8.8-4.0.4-4-4-4-4.2.2
(1,3,2,4) (5,7,6,8) | |
(1,5,2,6) (3,8,4,7) | |
(1,5,2,6) (3,8,4,7) | |
(1,6,2,5) (3,7,4,8) | |
(1,7,2,8) (3,5,4,6) |
8.8-4.0.4-4-4-4-4.2.3
(1,3,2,4) (5,7,6,8) | |
(1,5,2,6) (3,8,4,7) | |
(1,6,2,5) (3,7,4,8) | |
(1,5,2,6) (3,8,4,7) | |
(1,7,2,8) (3,5,4,6) |
8.8-4.0.4-4-4-4-4.2.4
(1,3,2,4) (5,7,6,8) | |
(1,5,2,6) (3,8,4,7) | |
(1,6,2,5) (3,7,4,8) | |
(1,6,2,5) (3,7,4,8) | |
(1,8,2,7) (3,6,4,5) |