Properties

Label 12.27-1.0.9-27-27.1
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: $4, 10, 25$

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.

12.27-1.0.9-27-27.1.1

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