Properties

Genus \(12\)
Small Group \(C_{27}\)
Signature \([ 0; 9, 27, 27 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 12
Group name: $C_{27}$
Group identifier: [27,1]
Signature: $[ 0; 9, 27, 27 ]$
Conjugacy classes for this refined passport: 4, 16, 19

Jacobian variety group algebra decomposition:$A_{9}\times A_{3}$
Corresponding character(s): 2, 4

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

12.27-1.0.9-27-27.7.1

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