Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(C_2\times C_4\)
Signature \([ 0; 4, 4, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Quotient Genus: 0
Group name: $C_2\times C_4$
Group identifier: [8,2]
Signature: $[ 0; 4, 4, 4, 4 ]$
Conjugacy classes for this refined passport: 5, 5, 7, 7

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

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}\times E$
Corresponding character(s): 3, 4, 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.8-2.0.4-4-4-4.1.1

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