Properties

Label 4.5-1.0.5-5-5-5.2
Genus \(4\)
Quotient genus \(0\)
Group \(C_5\)
Signature \([ 0; 5, 5, 5, 5 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $4$
Quotient genus: $0$
Group name: $C_5$
Group identifier: $[5,1]$
Signature: $[ 0; 5, 5, 5, 5 ]$
Conjugacy classes for this refined passport: $2, 2, 5, 5$

The full automorphism group for this family is $D_{10}$ with signature $[ 0; 2, 2, 2, 5 ]$.

Jacobian variety group algebra decomposition:$A_{4}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.5-1.0.5-5-5-5.2.1

  (1,2,3,4,5)
  (1,2,3,4,5)
  (1,5,4,3,2)
  (1,5,4,3,2)