Properties

Label 10.24-11.0.12-12-12.1
Genus \(10\)
Quotient genus \(0\)
Group \(C_3\times Q_8\)
Signature \([ 0; 12, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $C_3\times Q_8$
Group identifier: $[24,11]$
Signature: $[ 0; 12, 12, 12 ]$
Conjugacy classes for this refined passport: $10, 12, 14$

The full automorphism group for this family is $C_3\times \GL(2,3)$ with signature $[ 0; 2, 3, 24 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E\times E\times A_{2}\times A_{2}^{2}$
Corresponding character(s): $5, 6, 7, 9, 13, 14$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.24-11.0.12-12-12.1.1

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