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, 10, 18

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.

7.24-2.0.3-8-24.2.1

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