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: 10, 16, 20

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.

13.27-1.0.27-27-27.4.1

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