Properties

Genus \(12\)
Quotient Genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 3, 3, 3, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 12
Quotient Genus: 0
Group name: $C_{12}$
Group identifier: [12,2]
Signature: $[ 0; 3, 3, 3, 12, 12 ]$
Conjugacy classes for this refined passport: 4, 4, 4, 9, 12

Jacobian variety group algebra decomposition:$A_{3}\times A_{6}\times A_{3}$
Corresponding character(s): 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.

12.12-2.0.3-3-3-12-12.5.1

  (1,5,3) (2,6,4) (7,11,9) (8,12,10)
  (1,5,3) (2,6,4) (7,11,9) (8,12,10)
  (1,5,3) (2,6,4) (7,11,9) (8,12,10)
  (1,9,6,8,3,11,2,10,5,7,4,12)
  (1,12,4,7,5,10,2,11,3,8,6,9)