Properties

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

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Family Information

Genus: 5
Group name: $OD_{16}$
Group identifier: [16,6]
Signature: $[ 0; 4, 8, 8 ]$
Conjugacy classes for this refined passport: 6, 8, 10

The full automorphism group for this family is $C_2wrC_4$ with signature $[ 0; 2, 4, 8 ]$.

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

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.16-6.0.4-8-8.2.1

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