Properties

Label 15.32-1.0.16-32-32.1
Genus \(15\)
Quotient genus \(0\)
Group \(C_{32}\)
Signature \([ 0; 16, 32, 32 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $15$
Quotient genus: $0$
Group name: $C_{32}$
Group identifier: $[32,1]$
Signature: $[ 0; 16, 32, 32 ]$
Conjugacy classes for this refined passport: $9, 17, 31$

Jacobian variety group algebra decomposition:$A_{8}\times A_{4}\times A_{2}\times E$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.32-1.0.16-32-32.1.1

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