Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_2\times C_4\)
Signature \([ 0; 2, 2, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_2\times C_4$
Group identifier: [8,2]
Signature: $[ 0; 2, 2, 4, 4 ]$
Conjugacy classes for this refined passport: 4, 4, 7, 8

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

Jacobian variety group algebra decomposition:$A_{2}\times E$
Corresponding character(s): 4, 6

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.8-2.0.2-2-4-4.12.1

  (1,4) (2,3) (5,8) (6,7)
  (1,4) (2,3) (5,8) (6,7)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)