Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_3\times D_4\)
Signature \([ 0; 6, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_3\times D_4$
Group identifier: [24,10]
Signature: $[ 0; 6, 6, 12 ]$
Conjugacy classes for this refined passport: 10, 12, 14

The full automorphism group for this family is $C_3\times D_8$ with signature $[ 0; 2, 6, 24 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E\times E\times A_{2}^{2}$
Corresponding character(s): 5, 6, 9, 10, 14

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.24-10.0.6-6-12.1.1

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