Family Information
Genus: | $11$ |
Quotient genus: | $0$ |
Group name: | $C_2\times C_{24}$ |
Group identifier: | $[48,23]$ |
Signature: | $[ 0; 2, 24, 24 ]$ |
Conjugacy classes for this refined passport: | $4, 37, 48$ |
The full automorphism group for this family is $D_{12}:C_4$ with signature $[ 0; 2, 4, 24 ]$.
Jacobian variety group algebra decomposition: | $A_{2}\times E\times E\times A_{4}\times A_{2}\times E$ |
Corresponding character(s): | $4, 6, 18, 20, 22, 26$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.48-23.0.2-24-24.13.1
(1,14) (2,13) (3,16) (4,15) (5,18) (6,17) (7,20) (8,19) (9,22) (10,21) (11,24) (12,23) (25,38) (26,37) (27,40) (28,39) (29,42) (30,41) (31,44) (32,43) (33,46) (34,45) (35,48) (36,47) | |
(1,30,11,28,6,33,4,31,9,26,7,36,2,29,12,27,5,34,3,32,10,25,8,35) (13,42,23,40,18,45,16,43,21,38,19,48,14,41,24,39,17,46,15,44,22,37,20,47) | |
(1,48,8,38,10,43,3,45,5,40,12,42,2,47,7,37,9,44,4,46,6,39,11,41) (13,36,20,26,22,31,15,33,17,28,24,30,14,35,19,25,21,32,16,34,18,27,23,29) |