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: | $2, 47, 54$ |
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.
14.56-2.0.2-56-56.9.1
| (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) | |
| (1,49,15,35,26,46,12,32,21,41,7,55,18,38,4,52,13,33,27,47,10,30,24,44,5,53,19,39,2,50,16,36,25,45,11,31,22,42,8,56,17,37,3,51,14,34,28,48,9,29,23,43,6,54,20,40) | |
| (1,39,20,53,6,44,23,30,9,47,28,33,14,52,3,38,17,55,8,41,22,32,11,46,25,35,16,49,2,40,19,54,5,43,24,29,10,48,27,34,13,51,4,37,18,56,7,42,21,31,12,45,26,36,15,50) |