Properties

Label 13.27-1.0.27-27-27.1
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: $10, 10, 26$

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.

13.27-1.0.27-27-27.1.1

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