Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(OD_{16}\)
Signature \([ 0; 4, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Quotient Genus: 0
Group name: $OD_{16}$
Group identifier: [16,6]
Signature: $[ 0; 4, 8, 8 ]$
Conjugacy classes for this refined passport: 6, 7, 9

The full automorphism group for this family is $C_2\wr C_4$ with signature $[ 0; 2, 4, 8 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}^{2}$
Corresponding character(s): 5, 9

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.16-6.0.4-8-8.1.1

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