Properties

Genus \(2\)
Small Group \(C_6\)
Signature \([ 0; 2, 2, 3, 3 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 2
Group name: $C_6$
Group identifier: [6,2]
Signature: $[ 0; 2, 2, 3, 3 ]$
Conjugacy classes for this refined passport: 2, 2, 3, 4

The full automorphism group for this family is $D_6$ with signature $[ 0; 2, 2, 2, 3 ]$.

Jacobian variety group algebra decomposition:$A_{2}$
Corresponding character(s): 4

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

2.6-2.0.2-2-3-3.1.1

  (1,4) (2,5) (3,6)
  (1,4) (2,5) (3,6)
  (1,2,3) (4,5,6)
  (1,3,2) (4,6,5)