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: | $2, 36, 41$ |
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.
14.56-2.0.2-56-56.4.1
(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) | |
(1,37,19,55,6,42,24,32,9,45,27,35,14,50,4,40,17,53,7,43,22,30,12,48,25,33,15,51,2,38,20,56,5,41,23,31,10,46,28,36,13,49,3,39,18,54,8,44,21,29,11,47,26,34,16,52) | |
(1,51,16,33,26,48,11,30,21,43,8,53,18,40,3,50,13,35,28,45,10,32,23,42,5,55,20,37,2,52,15,34,25,47,12,29,22,44,7,54,17,39,4,49,14,36,27,46,9,31,24,41,6,56,19,38) |