Properties

Label 13.27-1.0.27-27-27.15
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: $13, 13, 21$

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.

13.27-1.0.27-27-27.15.1

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