Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_7:Q_8$ |
| Group identifier: | $[56,3]$ |
| Signature: | $[ 0; 4, 4, 28 ]$ |
| Conjugacy classes for this refined passport: | $4, 5, 12$ |
The full automorphism group for this family is $C_{56}:C_2$ with signature $[ 0; 2, 4, 56 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{12}$ |
| Corresponding character(s): | $5, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.56-3.0.4-4-28.1.1
| (1,29,8,36) (2,35,9,42) (3,34,10,41) (4,33,11,40) (5,32,12,39) (6,31,13,38) (7,30,14,37) (15,50,22,43) (16,56,23,49) (17,55,24,48) (18,54,25,47) (19,53,26,46) (20,52,27,45) (21,51,28,44) | |
| (1,49,8,56) (2,48,9,55) (3,47,10,54) (4,46,11,53) (5,45,12,52) (6,44,13,51) (7,43,14,50) (15,35,22,42) (16,34,23,41) (17,33,24,40) (18,32,25,39) (19,31,26,38) (20,30,27,37) (21,29,28,36) | |
| (1,16,10,25,5,20,14,22,2,17,11,26,6,21,8,23,3,18,12,27,7,15,9,24,4,19,13,28) (29,44,38,53,33,48,42,50,30,45,39,54,34,49,36,51,31,46,40,55,35,43,37,52,32,47,41,56) |