Properties

Label 13.27-1.0.27-27-27.6
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: $11, 11, 25$

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.

13.27-1.0.27-27-27.6.1

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