Properties

Genus \(2\)
Quotient Genus \(0\)
Group \(C_3\)
Signature \([ 0; 3, 3, 3, 3 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 2
Quotient Genus: 0
Group name: $C_3$
Group identifier: [3,1]
Signature: $[ 0; 3, 3, 3, 3 ]$
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:$A_{2}$
Corresponding character(s): 2

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

2.3-1.0.3-3-3-3.1.1

  (1,2,3)
  (1,2,3)
  (1,3,2)
  (1,3,2)