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: 5, 15, 18

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.

12.27-1.0.9-27-27.15.1

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