Properties

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

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Family Information

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

The full automorphism group for this family is $\SL(2,3):C_2$ with signature $[ 0; 2, 3, 12 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.12-2.0.3-4-12.1.1

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