Properties

Label 12.27-1.0.9-27-27.12
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: $5, 12, 21$

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.

12.27-1.0.9-27-27.12.1

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