Properties

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: 11, 13, 19

The full automorphism group for this family is $D_4.C_8$ 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.

13.32-17.0.8-16-16.1.1

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