Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_{24}\)
Signature \([ 0; 3, 24, 24 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_{24}$
Group identifier: [24,2]
Signature: $[ 0; 3, 24, 24 ]$
Conjugacy classes for this refined passport: 3, 21, 23

The full automorphism group for this family is $C_3\times D_8$ with signature $[ 0; 2, 6, 24 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.24-2.0.3-24-24.2.1

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