Properties

Label 13.39-2.0.3-39-39.1
Genus \(13\)
Quotient genus \(0\)
Group \(C_{39}\)
Signature \([ 0; 3, 39, 39 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_{39}$
Group identifier: $[39,2]$
Signature: $[ 0; 3, 39, 39 ]$
Conjugacy classes for this refined passport: $2, 16, 31$

The full automorphism group for this family is $C_3\times D_{13}$ with signature $[ 0; 2, 6, 39 ]$.

Jacobian variety group algebra decomposition:$E\times A_{12}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.39-2.0.3-39-39.1.1

  (1,14,27) (2,15,28) (3,16,29) (4,17,30) (5,18,31) (6,19,32) (7,20,33) (8,21,34) (9,22,35) (10,23,36) (11,24,37) (12,25,38) (13,26,39)
  (1,15,29,4,18,32,7,21,35,10,24,38,13,14,28,3,17,31,6,20,34,9,23,37,12,26,27,2,16,30,5,19,33,8,22,36,11,25,39)
  (1,26,38,11,23,35,8,20,32,5,17,29,2,14,39,12,24,36,9,21,33,6,18,30,3,15,27,13,25,37,10,22,34,7,19,31,4,16,28)