Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_{32}\)
Signature \([ 0; 8, 32, 32 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_{32}$
Group identifier: [32,1]
Signature: $[ 0; 8, 32, 32 ]$
Conjugacy classes for this refined passport: 5, 18, 29

Jacobian variety group algebra decomposition:$A_{8}\times A_{4}\times A_{2}$
Corresponding character(s): 2, 3, 5

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.32-1.0.8-32-32.2.1

  (1,5,3,7,2,6,4,8) (9,13,11,15,10,14,12,16) (17,21,19,23,18,22,20,24) (25,29,27,31,26,30,28,32)
  (1,25,13,19,7,31,10,22,4,28,16,17,5,29,11,23,2,26,14,20,8,32,9,21,3,27,15,18,6,30,12,24)
  (1,20,10,27,5,24,14,31,3,17,12,26,7,21,16,30,2,19,9,28,6,23,13,32,4,18,11,25,8,22,15,29)