Family Information
Genus: | $11$ |
Quotient genus: | $0$ |
Group name: | $C_2\times \SL(2,3)$ |
Group identifier: | $[48,32]$ |
Signature: | $[ 0; 4, 6, 6 ]$ |
Conjugacy classes for this refined passport: | $7, 11, 12$ |
The full automorphism group for this family is $C_2\times \GL(2,3)$ with signature $[ 0; 2, 6, 8 ]$.
Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{2}^{2}\times E^{3}$ |
Corresponding character(s): | $7, 8, 10, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.48-32.0.4-6-6.1.1
(1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16) (17,19,18,20) (21,23,22,24) (25,27,26,28) (29,31,30,32) (33,35,34,36) (37,39,38,40) (41,43,42,44) (45,47,46,48) | |
(1,33,17,25,9,41) (2,34,18,26,10,42) (3,39,21,27,15,45) (4,40,22,28,16,46) (5,35,23,29,11,47) (6,36,24,30,12,48) (7,37,19,31,13,43) (8,38,20,32,14,44) | |
(1,44,15,25,20,39) (2,43,16,26,19,40) (3,48,10,27,24,34) (4,47,9,28,23,33) (5,45,13,29,21,37) (6,46,14,30,22,38) (7,41,12,31,17,36) (8,42,11,32,18,35) |