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: 7, 11, 16

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.

12.27-1.0.9-27-27.29.1

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