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: 11, 15, 21

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.

13.27-1.0.27-27-27.8.1

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