Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(OD_{32}\)
Signature \([ 0; 2, 16, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $OD_{32}$
Group identifier: [32,17]
Signature: $[ 0; 2, 16, 16 ]$
Conjugacy classes for this refined passport: 3, 13, 20

The full automorphism group for this family is $OD_{32}:C_2$ with signature $[ 0; 2, 4, 16 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.32-17.0.2-16-16.1.1

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