Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_{56}$ |
| Group identifier: | $[56,2]$ |
| Signature: | $[ 0; 2, 56, 56 ]$ |
| Conjugacy classes for this refined passport: | $2, 48, 53$ |
The full automorphism group for this family is $C_{56}:C_2$ with signature $[ 0; 2, 4, 56 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{12}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.56-2.0.2-56-56.10.1
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) (25,26) (27,28) (29,30) (31,32) (33,34) (35,36) (37,38) (39,40) (41,42) (43,44) (45,46) (47,48) (49,50) (51,52) (53,54) (55,56) | |
| (1,38,19,56,6,41,24,31,9,46,27,36,14,49,4,39,17,54,7,44,22,29,12,47,25,34,15,52,2,37,20,55,5,42,23,32,10,45,28,35,13,50,3,40,18,53,8,43,21,30,11,48,26,33,16,51) | |
| (1,52,16,34,26,47,11,29,21,44,8,54,18,39,3,49,13,36,28,46,10,31,23,41,5,56,20,38,2,51,15,33,25,48,12,30,22,43,7,53,17,40,4,50,14,35,27,45,9,32,24,42,6,55,19,37) |