Properties

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

Related objects

Downloads

Learn more about

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, 17, 30

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.

14.32-1.0.8-32-32.1.1

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