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: 11, 16, 21

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.

10.24-2.0.8-12-24.12.1

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