Properties

Label 8.32-1.0.2-32-32.6
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: $2, 26, 31$

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

Jacobian variety group algebra decomposition:$A_{8}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.32-1.0.2-32-32.6.1

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