Properties

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

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_{24}$
Group identifier: [24,2]
Signature: $[ 0; 8, 12, 24 ]$
Conjugacy classes for this refined passport: 9, 16, 17

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.

10.24-2.0.8-12-24.4.1

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