Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(C_3\times D_4\)
Signature \([ 0; 2, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $C_3\times D_4$
Group identifier: [24,10]
Signature: $[ 0; 2, 6, 12 ]$
Conjugacy classes for this refined passport: 3, 12, 15

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

Jacobian variety group algebra decomposition:$E\times E\times E^{2}$
Corresponding character(s): 5, 10, 14

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.24-10.0.2-6-12.1.1

  (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24)
  (1,15,5,13,3,17) (2,16,6,14,4,18) (7,22,11,20,9,24) (8,21,12,19,10,23)
  (1,23,4,20,5,21,2,24,3,19,6,22) (7,18,10,13,11,16,8,17,9,14,12,15)