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: 4, 22, 24

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.

8.24-2.0.3-24-24.4.1

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