Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_3\times SD_{16}\)
Signature \([ 0; 4, 6, 24 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_3\times SD_{16}$
Group identifier: [48,26]
Signature: $[ 0; 4, 6, 24 ]$
Conjugacy classes for this refined passport: 7, 10, 19

Jacobian variety group algebra decomposition:$E\times E\times E^{2}\times E^{2}\times A_{4}^{2}$
Corresponding character(s): 5, 6, 14, 16, 18

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.48-26.0.4-6-24.1.1

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