Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(C_{16}\)
Signature \([ 0; 2, 16, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $C_{16}$
Group identifier: [16,1]
Signature: $[ 0; 2, 16, 16 ]$
Conjugacy classes for this refined passport: 2, 9, 12

The full automorphism group for this family is $SD_{32}$ with signature $[ 0; 2, 4, 16 ]$.

Jacobian variety group algebra decomposition:$A_{4}$
Corresponding character(s): 2

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.16-1.0.2-16-16.1.1

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