Properties

Label 13.32-17.0.8-16-16.8
Genus \(13\)
Quotient genus \(0\)
Group \(\OD_{32}\)
Signature \([ 0; 8, 16, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $\OD_{32}$
Group identifier: $[32,17]$
Signature: $[ 0; 8, 16, 16 ]$
Conjugacy classes for this refined passport: $12, 16, 18$

The full automorphism group for this family is $\OD_{32}:C_2$ with signature $[ 0; 2, 16, 16 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{2}\times A_{4}^{2}$
Corresponding character(s): $6, 9, 12, 17$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.32-17.0.8-16-16.8.1

  (1,15,4,13,2,16,3,14) (5,10,8,11,6,9,7,12) (17,31,20,29,18,32,19,30) (21,26,24,27,22,25,23,28)
  (1,23,8,19,4,21,6,17,2,24,7,20,3,22,5,18) (9,32,16,28,12,30,14,26,10,31,15,27,11,29,13,25)
  (1,29,8,25,4,32,6,28,2,30,7,26,3,31,5,27) (9,22,16,18,12,23,14,19,10,21,15,17,11,24,13,20)