Properties

Genus \(2\)
Small Group \(C_5\)
Signature \([ 0; 5, 5, 5 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

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

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

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

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

2.5-1.0.5-5-5.4.1

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