Properties

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: 5, 5, 7

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

Jacobian variety group algebra decomposition:$A_{3}\times E$
Corresponding character(s): 2, 4

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.9-1.0.9-9-9.3.1

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