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: | $7, 9, 14$ |
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.
7.32-10.0.4-4-8.2.1
(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) | |
(1,17,3,19) (2,18,4,20) (5,22,7,24) (6,21,8,23) (9,29,11,31) (10,30,12,32) (13,25,15,27) (14,26,16,28) | |
(1,28,7,30,2,27,8,29) (3,26,5,32,4,25,6,31) (9,24,15,17,10,23,16,18) (11,22,13,19,12,21,14,20) |