Properties

Genus \(2\)
Small Group \(S_3\)
Signature \([ 0; 2, 2, 3, 3 ]\)
Generating Vectors \(2\)

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Family Information

Genus: 2
Group name: $S_3$
Group identifier: [6,1]
Signature: $[ 0; 2, 2, 3, 3 ]$
Conjugacy classes for this refined passport: 2, 2, 3, 3

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

Jacobian variety group algebra decomposition:$E^{2}$
Corresponding character(s): 3

Other Data

Generating Vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

2.6-1.0.2-2-3-3.1.1

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

2.6-1.0.2-2-3-3.1.2
  (1,4) (2,6) (3,5)
  (1,6) (2,5) (3,4)
  (1,3,2) (4,6,5)
  (1,3,2) (4,6,5)

Display number of generating vectors: