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: 17, 23, 25

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.

13.27-1.0.27-27-27.28.1

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