Properties

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

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_{12}$
Group identifier: [12,2]
Signature: $[ 0; 2, 12, 12 ]$
Conjugacy classes for this refined passport: 2, 9, 10

The full automorphism group for this family is $C_4\times S_3$ with signature $[ 0; 2, 4, 12 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}$
Corresponding character(s): 2, 6

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.12-2.0.2-12-12.1.1

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