Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(Q_{16}\)
Signature \([ 0; 4, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $Q_{16}$
Group identifier: [16,9]
Signature: $[ 0; 4, 4, 8 ]$
Conjugacy classes for this refined passport: 4, 5, 7

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): 6

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.16-9.0.4-4-8.2.1

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