Properties

Label 8.32-1.0.2-32-32.3
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: $2, 19, 22$

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.

8.32-1.0.2-32-32.3.1

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