Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_{56}\)
Signature \([ 0; 2, 56, 56 ]\)
Generating Vectors \(1\)

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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, 33, 44

The full automorphism group for this family is $C_8:D_7$ with signature $[ 0; 2, 4, 56 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{12}$
Corresponding character(s): 2, 10

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.56-2.0.2-56-56.1.1

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