Properties

Label 9.24-2.0.6-8-24.1
Genus \(9\)
Quotient genus \(0\)
Group \(C_{24}\)
Signature \([ 0; 6, 8, 24 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $9$
Quotient genus: $0$
Group name: $C_{24}$
Group identifier: $[24,2]$
Signature: $[ 0; 6, 8, 24 ]$
Conjugacy classes for this refined passport: $7, 9, 20$

Jacobian variety group algebra decomposition:$A_{2}\times A_{4}\times A_{2}\times E$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

9.24-2.0.6-8-24.1.1

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