Properties

Label 13.27-1.0.27-27-27.3
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: $10, 14, 22$

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

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.27-1.0.27-27-27.3.1

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