Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_8\)
Signature \([ 0; 4, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_8$
Group identifier: [8,1]
Signature: $[ 0; 4, 8, 8 ]$
Conjugacy classes for this refined passport: 4, 7, 7

The full automorphism group for this family is $D_4:C_4$ with signature $[ 0; 2, 4, 8 ]$.

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.

3.8-1.0.4-8-8.6.1

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