Properties

Label 9.9-1.0.3-3-3-9-9.3
Genus \(9\)
Quotient genus \(0\)
Group \(C_9\)
Signature \([ 0; 3, 3, 3, 9, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $9$
Quotient genus: $0$
Group name: $C_9$
Group identifier: $[9,1]$
Signature: $[ 0; 3, 3, 3, 9, 9 ]$
Conjugacy classes for this refined passport: $2, 2, 2, 6, 7$

Jacobian variety group algebra decomposition:$A_{9}$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):yes
Trigonal automorphism: (1,2,3) (4,5,6) (7,8,9)

Generating vector(s)

Displaying the unique generating vector for this refined passport.

9.9-1.0.3-3-3-9-9.3.1

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