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, 13, 14

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.

4.24-10.0.2-6-12.2.1

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