Properties

Label 4.9-1.0.9-9-9.2
Genus \(4\)
Quotient genus \(0\)
Group \(C_9\)
Signature \([ 0; 9, 9, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $4$
Quotient genus: $0$
Group name: $C_9$
Group identifier: $[9,1]$
Signature: $[ 0; 9, 9, 9 ]$
Conjugacy classes for this refined passport: $4, 6, 6$

The full automorphism group for this family is $C_{18}$ with signature $[ 0; 2, 9, 18 ]$.

Jacobian variety group algebra decomposition:$A_{3}\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.9-1.0.9-9-9.2.1

  (1,4,7,2,5,8,3,6,9)
  (1,5,9,2,6,7,3,4,8)
  (1,5,9,2,6,7,3,4,8)