Properties

Label 12.9-1.0.9-9-9-9-9.22
Genus \(12\)
Quotient genus \(0\)
Group \(C_9\)
Signature \([ 0; 9, 9, 9, 9, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_9$
Group identifier: $[9,1]$
Signature: $[ 0; 9, 9, 9, 9, 9 ]$
Conjugacy classes for this refined passport: $5, 6, 8, 8, 8$

Jacobian variety group algebra decomposition:$A_{9}\times A_{3}$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.9-1.0.9-9-9-9-9.22.1

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