Properties

Label 13.27-1.0.27-27-27.35
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: $20, 22, 22$

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.

13.27-1.0.27-27-27.35.1

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