Properties

Label 12.16-1.0.4-4-16-16.11
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: $4, 4, 13, 16$

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.

12.16-1.0.4-4-16-16.11.1

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