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: 12, 14, 19

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.

10.24-2.0.8-12-24.14.1

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