Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_3:C_4\)
Signature \([ 0; 4, 4, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_3:C_4$
Group identifier: [12,1]
Signature: $[ 0; 4, 4, 6 ]$
Conjugacy classes for this refined passport: 4, 4, 6

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): 3, 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.12-1.0.4-4-6.1.1

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