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: 11, 17, 19

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.

13.27-1.0.27-27-27.9.1

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