Properties

Label 5.20-1.0.4-4-10.4
Genus \(5\)
Quotient genus \(0\)
Group \(C_5:C_4\)
Signature \([ 0; 4, 4, 10 ]\)
Generating Vectors \(1\)

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Family Information

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

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): $3, 5$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.20-1.0.4-4-10.4.1

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