Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_8\times S_3\)
Signature \([ 0; 4, 8, 24 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_8\times S_3$
Group identifier: [48,4]
Signature: $[ 0; 4, 8, 24 ]$
Conjugacy classes for this refined passport: 8, 15, 22

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{2}\times E^{2}\times A_{4}^{2}$
Corresponding character(s): 5, 9, 10, 19, 21

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.48-4.0.4-8-24.1.1

  (1,31,4,34) (2,33,5,36) (3,32,6,35) (7,28,10,25) (8,30,11,27) (9,29,12,26) (13,43,16,46) (14,45,17,48) (15,44,18,47) (19,40,22,37) (20,42,23,39) (21,41,24,38)
  (1,39,7,45,4,42,10,48) (2,38,8,44,5,41,11,47) (3,37,9,43,6,40,12,46) (13,33,19,30,16,36,22,27) (14,32,20,29,17,35,23,26) (15,31,21,28,18,34,24,25)
  (1,17,9,22,5,15,10,20,3,16,8,24,4,14,12,19,2,18,7,23,6,13,11,21) (25,41,33,46,29,39,34,44,27,40,32,48,28,38,36,43,26,42,31,47,30,37,35,45)