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: 12, 13, 24

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.

10.24-2.0.8-12-24.13.1

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