Properties

Genus \(8\)
Small Group \(C_{32}\)
Signature \([ 0; 2, 32, 32 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Group name: $C_{32}$
Group identifier: [32,1]
Signature: $[ 0; 2, 32, 32 ]$
Conjugacy classes for this refined passport: 2, 17, 24

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): 2

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.32-1.0.2-32-32.1.1

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