Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(C_5\)
Signature \([ 0; 5, 5, 5, 5 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

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, 3, 4, 5

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

Jacobian variety group algebra decomposition:$A_{4}$
Corresponding character(s): 2

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.5-1.0.5-5-5-5.3.1

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