Family Information
Genus: | $11$ |
Quotient genus: | $0$ |
Group name: | $C_3\times \OD_{16}$ |
Group identifier: | $[48,24]$ |
Signature: | $[ 0; 2, 24, 24 ]$ |
Conjugacy classes for this refined passport: | $3, 23, 30$ |
The full automorphism group for this family is $D_{12}:C_4$ with signature $[ 0; 2, 4, 24 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}\times E^{2}\times A_{2}^{2}$ |
Corresponding character(s): | $5, 6, 13, 18, 25, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.48-24.0.2-24-24.1.1
(1,13) (2,14) (3,15) (4,16) (5,17) (6,18) (7,19) (8,20) (9,21) (10,22) (11,23) (12,24) (25,37) (26,38) (27,39) (28,40) (29,41) (30,42) (31,43) (32,44) (33,45) (34,46) (35,47) (36,48) | |
(1,29,11,27,6,34,4,32,9,25,7,35,2,30,12,28,5,33,3,31,10,26,8,36) (13,42,23,40,18,45,16,43,21,38,19,48,14,41,24,39,17,46,15,44,22,37,20,47) | |
(1,48,7,37,10,43,4,46,5,40,11,41,2,47,8,38,9,44,3,45,6,39,12,42) (13,35,19,26,22,32,16,33,17,27,23,30,14,36,20,25,21,31,15,34,18,28,24,29) |