Properties

Genus \(12\)
Quotient Genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 3, 3, 4, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 12
Quotient Genus: 0
Group name: $C_{12}$
Group identifier: [12,2]
Signature: $[ 0; 3, 3, 4, 6, 12 ]$
Conjugacy classes for this refined passport: 3, 3, 5, 8, 10

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{6}\times A_{3}$
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.

12.12-2.0.3-3-4-6-12.1.1

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