Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_7:Q_8\)
Signature \([ 0; 4, 4, 28 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_7:Q_8$
Group identifier: [56,3]
Signature: $[ 0; 4, 4, 28 ]$
Conjugacy classes for this refined passport: 4, 5, 12

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): 5, 12

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.56-3.0.4-4-28.1.1

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