Family Information
Genus: | $7$ |
Quotient genus: | $0$ |
Group name: | $Q_8:C_4$ |
Group identifier: | $[32,10]$ |
Signature: | $[ 0; 4, 4, 8 ]$ |
Conjugacy classes for this refined passport: | $7, 9, 12$ |
Jacobian variety group algebra decomposition: | $E\times E^{2}\times A_{4}$ |
Corresponding character(s): | $5, 11, 12$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.32-10.0.4-4-8.1.1
(1,9,2,10) (3,11,4,12) (5,14,6,13) (7,16,8,15) (17,25,18,26) (19,27,20,28) (21,30,22,29) (23,32,24,31) | |
(1,18,3,20) (2,17,4,19) (5,21,7,23) (6,22,8,24) (9,30,11,32) (10,29,12,31) (13,26,15,28) (14,25,16,27) | |
(1,27,7,29,2,28,8,30) (3,25,5,31,4,26,6,32) (9,23,15,18,10,24,16,17) (11,21,13,20,12,22,14,19) |