Properties

Label 3.16-6.0.2-8-8.1
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: $3, 7, 10$

The full automorphism group for this family is $C_4^2:S_3$ 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.

3.16-6.0.2-8-8.1.1

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