Properties

Genus \(13\)
Small Group \(C_{28}\)
Signature \([ 0; 14, 28, 28 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Group name: $C_{28}$
Group identifier: [28,2]
Signature: $[ 0; 14, 28, 28 ]$
Conjugacy classes for this refined passport: 11, 17, 19

Jacobian variety group algebra decomposition:$E\times A_{3}\times A_{6}\times A_{3}$
Corresponding character(s): 2, 5, 6, 7

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.28-2.0.14-28-28.1.1

  (1,4,5,8,9,12,13,2,3,6,7,10,11,14) (15,18,19,22,23,26,27,16,17,20,21,24,25,28)
  (1,17,6,22,9,25,14,16,3,19,8,24,11,27,2,18,5,21,10,26,13,15,4,20,7,23,12,28)
  (1,25,8,18,13,23,6,16,11,21,4,28,9,19,2,26,7,17,14,24,5,15,12,22,3,27,10,20)