Properties

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

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Family Information

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

The full automorphism group for this family is $C_3\times S_4$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times E$
Corresponding character(s): 5, 6, 7

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.12-2.0.3-12-12.2.1

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