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: 10, 15, 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.

10.24-2.0.8-12-24.7.1

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