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: 11, 13, 15

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.

8.24-10.0.6-6-12.2.1

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