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: 8, 16, 25

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.

12.27-1.0.9-27-27.41.1

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