Properties

Label 12.16-1.0.4-4-16-16.6
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: $3, 4, 10, 15$

The full automorphism group for this family is $D_{16}$ with signature $[ 0; 2, 2, 4, 16 ]$.

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.16-1.0.4-4-16-16.6.1

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