Properties

Genus \(7\)
Small Group \(C_{24}\)
Signature \([ 0; 3, 8, 24 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Group name: $C_{24}$
Group identifier: [24,2]
Signature: $[ 0; 3, 8, 24 ]$
Conjugacy classes for this refined passport: 3, 9, 24

Jacobian variety group algebra decomposition:$A_{4}\times A_{2}\times E$
Corresponding character(s): 10, 11, 13

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):Yes
Trigonal automorphism: (1,5,9) (2,6,10) (3,7,11) (4,8,12) (13,17,21) (14,18,22) (15,19,23) (16,20,24)

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.24-2.0.3-8-24.1.1

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