Properties

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

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Family Information

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

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

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.32-20.0.4-4-16.1.1

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