Properties

Label 15.32-1.0.16-32-32.19
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: $11, 17, 27$

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.

15.32-1.0.16-32-32.19.1

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