Properties

Genus \(12\)
Quotient Genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 2, 3, 6, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 12
Quotient Genus: 0
Group name: $C_{12}$
Group identifier: [12,2]
Signature: $[ 0; 2, 3, 6, 12, 12 ]$
Conjugacy classes for this refined passport: 2, 3, 7, 10, 12

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

12.12-2.0.2-3-6-12-12.1.1

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