Properties

Genus \(5\)
Small Group \(C_5:C_4\)
Signature \([ 0; 4, 4, 10 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 5
Group name: $C_5:C_4$
Group identifier: [20,1]
Signature: $[ 0; 4, 4, 10 ]$
Conjugacy classes for this refined passport: 3, 3, 8

The full automorphism group for this family is $C_4\times D_5$ with signature $[ 0; 2, 4, 20 ]$.

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

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.20-1.0.4-4-10.2.1

  (1,11,6,16) (2,15,7,20) (3,14,8,19) (4,13,9,18) (5,12,10,17)
  (1,13,6,18) (2,12,7,17) (3,11,8,16) (4,15,9,20) (5,14,10,19)
  (1,9,2,10,3,6,4,7,5,8) (11,19,12,20,13,16,14,17,15,18)