Properties

Genus \(8\)
Small Group \(C_{20}\)
Signature \([ 0; 5, 20, 20 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Group name: $C_{20}$
Group identifier: [20,2]
Signature: $[ 0; 5, 20, 20 ]$
Conjugacy classes for this refined passport: 5, 15, 19

The full automorphism group for this family is $C_5\times D_4$ with signature $[ 0; 2, 10, 20 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{4}\times A_{2}$
Corresponding character(s): 5, 6, 7

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.20-2.0.5-20-20.2.1

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