Properties

Genus \(13\)
Small Group \(C_{27}\)
Signature \([ 0; 27, 27, 27 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Group name: $C_{27}$
Group identifier: [27,1]
Signature: $[ 0; 27, 27, 27 ]$
Conjugacy classes for this refined passport: 15, 23, 27

Jacobian variety group algebra decomposition:$A_{9}\times A_{3}\times E$
Corresponding character(s): 2, 4, 10

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.27-1.0.27-27-27.23.1

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