Family Information
Genus: | $8$ |
Quotient genus: | $0$ |
Group name: | $Q_8:S_3$ |
Group identifier: | $[48,17]$ |
Signature: | $[ 0; 2, 8, 12 ]$ |
Conjugacy classes for this refined passport: | $3, 8, 12$ |
Jacobian variety group algebra decomposition: | $E^{2}\times E^{2}\times E^{4}$ |
Corresponding character(s): | $8, 10, 12$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.48-17.0.2-8-12.2.1
(1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,34) (8,36) (9,35) (10,31) (11,33) (12,32) (13,43) (14,45) (15,44) (16,46) (17,48) (18,47) (19,37) (20,39) (21,38) (22,40) (23,42) (24,41) | |
(1,38,7,44,4,41,10,47) (2,37,8,43,5,40,11,46) (3,39,9,45,6,42,12,48) (13,32,19,29,16,35,22,26) (14,31,20,28,17,34,23,25) (15,33,21,30,18,36,24,27) | |
(1,18,5,13,3,17,4,15,2,16,6,14) (7,21,11,22,9,20,10,24,8,19,12,23) (25,42,29,37,27,41,28,39,26,40,30,38) (31,45,35,46,33,44,34,48,32,43,36,47) |