Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_{48}\)
Signature \([ 0; 3, 16, 48 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{48}$
Group identifier: [48,2]
Signature: $[ 0; 3, 16, 48 ]$
Conjugacy classes for this refined passport: 3, 17, 48

Jacobian variety group algebra decomposition:$A_{8}\times A_{4}\times A_{2}\times E$
Corresponding character(s): 18, 19, 21, 25

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.48-2.0.3-16-48.1.1

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