Properties

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

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_{27}$
Group identifier: [27,1]
Signature: $[ 0; 27, 27, 27 ]$
Conjugacy classes for this refined passport: 12, 16, 18

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.

13.27-1.0.27-27-27.13.1

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