Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_{24}\)
Signature \([ 0; 6, 24, 24 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_{24}$
Group identifier: [24,2]
Signature: $[ 0; 6, 24, 24 ]$
Conjugacy classes for this refined passport: 7, 17, 23

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:$A_{2}\times E\times A_{4}\times A_{2}\times E$
Corresponding character(s): 2, 9, 10, 11, 13

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.24-2.0.6-24-24.1.1

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