Properties

Label 13.27-1.0.27-27-27.19
Genus \(13\)
Quotient genus \(0\)
Group \(C_{27}\)
Signature \([ 0; 27, 27, 27 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_{27}$
Group identifier: $[27,1]$
Signature: $[ 0; 27, 27, 27 ]$
Conjugacy classes for this refined passport: $14, 14, 18$

The full automorphism group for this family is $C_{54}$ with signature $[ 0; 2, 27, 54 ]$.

Jacobian variety group algebra decomposition:$A_{9}\times A_{3}\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.27-1.0.27-27-27.19.1

  (1,16,23,6,10,25,8,15,19,2,17,24,4,11,26,9,13,20,3,18,22,5,12,27,7,14,21)
  (1,16,23,6,10,25,8,15,19,2,17,24,4,11,26,9,13,20,3,18,22,5,12,27,7,14,21)
  (1,14,27,5,18,20,9,11,24,2,15,25,6,16,21,7,12,22,3,13,26,4,17,19,8,10,23)