Properties

Label 12.27-1.0.9-27-27.18
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: $5, 25, 26$

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.

12.27-1.0.9-27-27.18.1

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