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: | $2, 49, 52$ |
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.
14.56-2.0.2-56-56.11.1
| (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) | |
| (1,48,8,50,10,55,15,29,17,36,24,38,26,43,3,45,5,52,12,54,14,31,19,33,21,40,28,42,2,47,7,49,9,56,16,30,18,35,23,37,25,44,4,46,6,51,11,53,13,32,20,34,22,39,27,41) | |
| (1,42,27,40,22,33,20,31,13,54,11,52,6,45,4,43,25,38,23,36,18,29,16,55,9,50,7,48,2,41,28,39,21,34,19,32,14,53,12,51,5,46,3,44,26,37,24,35,17,30,15,56,10,49,8,47) |