Properties

Label 12.16-1.0.4-4-16-16.1
Genus \(12\)
Quotient genus \(0\)
Group \(C_{16}\)
Signature \([ 0; 4, 4, 16, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_{16}$
Group identifier: $[16,1]$
Signature: $[ 0; 4, 4, 16, 16 ]$
Conjugacy classes for this refined passport: $3, 3, 9, 12$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.16-1.0.4-4-16-16.1.1

  (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16)
  (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16)
  (1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16)
  (1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10)