Properties

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

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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, 7

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.

5.20-1.0.4-4-10.1.1

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