Properties

Label 12.27-1.0.9-27-27.8
Genus \(12\)
Quotient genus \(0\)
Group \(C_{27}\)
Signature \([ 0; 9, 27, 27 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_{27}$
Group identifier: $[27,1]$
Signature: $[ 0; 9, 27, 27 ]$
Conjugacy classes for this refined passport: $4, 17, 18$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.27-1.0.9-27-27.8.1

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