Properties

Label 12.27-1.0.9-27-27.6
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: $4, 15, 20$

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.

12.27-1.0.9-27-27.6.1

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