Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_3\times Q_8\)
Signature \([ 0; 4, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_3\times Q_8$
Group identifier: [24,11]
Signature: $[ 0; 4, 12, 12 ]$
Conjugacy classes for this refined passport: 5, 13, 14

The full automorphism group for this family is $Q_8:S_3$ with signature $[ 0; 2, 8, 12 ]$.

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times A_{2}^{2}$
Corresponding character(s): 8, 10, 13, 14

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.24-11.0.4-12-12.2.1

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