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, 6

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.

4.20-1.0.4-4-5.2.1

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