Properties

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

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_{28}$
Group identifier: [28,2]
Signature: $[ 0; 14, 28, 28 ]$
Conjugacy classes for this refined passport: 11, 20, 27

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.

13.28-2.0.14-28-28.3.1

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