Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(OD_{16}\)
Signature \([ 0; 2, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $OD_{16}$
Group identifier: [16,6]
Signature: $[ 0; 2, 8, 8 ]$
Conjugacy classes for this refined passport: 3, 8, 9

The full automorphism group for this family is $C_4^2:C_3:C_2$ with signature $[ 0; 2, 3, 8 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.16-6.0.2-8-8.2.1

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