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: 4, 4, 5, 7, 9

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.

12.12-2.0.3-3-4-6-12.7.1

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