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, 14, 23

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.

10.24-2.0.8-12-24.6.1

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