Properties

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

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_{32}$
Group identifier: [32,1]
Signature: $[ 0; 2, 32, 32 ]$
Conjugacy classes for this refined passport: 2, 18, 23

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.32-1.0.2-32-32.2.1

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