Properties

Genus \(10\)
Small Group \(C_{24}\)
Signature \([ 0; 8, 12, 24 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Group name: $C_{24}$
Group identifier: [24,2]
Signature: $[ 0; 8, 12, 24 ]$
Conjugacy classes for this refined passport: 9, 15, 22

Jacobian variety group algebra decomposition:$A_{2}\times E\times A_{4}\times A_{2}\times E$
Corresponding character(s): 2, 3, 10, 11, 13

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.24-2.0.8-12-24.3.1

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