Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_4\)
Signature \([ 0; 4, 4, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_4$
Group identifier: [4,1]
Signature: $[ 0; 4, 4, 4, 4 ]$
Conjugacy classes for this refined passport: 3, 3, 3, 3

The full automorphism group for this family is $D_4:C_2$ with signature $[ 0; 2, 2, 2, 4 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times E$
Corresponding character(s): 2, 3

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.4-1.0.4-4-4-4.1.1

  (1,3,2,4)
  (1,3,2,4)
  (1,3,2,4)
  (1,3,2,4)