Properties

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

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Family Information

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

The full automorphism group for this family is $C_5:D_4$ with signature $[ 0; 2, 4, 10 ]$.

Jacobian variety group algebra decomposition:$A_{4}$
Corresponding character(s): 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.20-1.0.4-4-5.1.1

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