Properties

Label 13.27-1.0.27-27-27.18
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: $13, 25, 27$

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.

13.27-1.0.27-27-27.18.1

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