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: | $2, 38, 39$ |
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.
14.56-2.0.2-56-56.6.1
| (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) | |
| (1,54,23,48,14,37,8,31,25,50,19,44,10,33,4,55,21,46,15,40,6,29,28,51,17,42,11,36,2,53,24,47,13,38,7,32,26,49,20,43,9,34,3,56,22,45,16,39,5,30,27,52,18,41,12,35) | |
| (1,36,12,42,18,51,27,29,5,40,16,46,22,55,3,33,9,44,20,50,26,31,7,37,13,48,24,54,2,35,11,41,17,52,28,30,6,39,15,45,21,56,4,34,10,43,19,49,25,32,8,38,14,47,23,53) |