Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(Q_{32}\)
Signature \([ 0; 4, 4, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $Q_{32}$
Group identifier: [32,20]
Signature: $[ 0; 4, 4, 16 ]$
Conjugacy classes for this refined passport: 4, 5, 9

The full automorphism group for this family is $SD_{64}$ with signature $[ 0; 2, 4, 32 ]$.

Jacobian variety group algebra decomposition:$A_{8}$
Corresponding character(s): 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.32-20.0.4-4-16.2.1

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