Properties

Label 8.32-1.0.2-32-32.5
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: $2, 25, 32$

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.

8.32-1.0.2-32-32.5.1

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