Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_{24}:C_2\)
Signature \([ 0; 4, 8, 24 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{24}:C_2$
Group identifier: [48,5]
Signature: $[ 0; 4, 8, 24 ]$
Conjugacy classes for this refined passport: 7, 11, 15

Jacobian variety group algebra decomposition:$E\times A_{2}^{2}\times E^{2}\times A_{4}^{2}$
Corresponding character(s): 6, 11, 12, 15

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.48-5.0.4-8-24.1.1

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