Properties

Label 7.9-2.0.3-3-3-3-3.45
Genus \(7\)
Quotient genus \(0\)
Group \(C_3^2\)
Signature \([ 0; 3, 3, 3, 3, 3 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_3^2$
Group identifier: $[9,2]$
Signature: $[ 0; 3, 3, 3, 3, 3 ]$
Conjugacy classes for this refined passport: $3, 4, 4, 5, 9$

Jacobian variety group algebra decomposition:$A_{2}\times A_{3}\times A_{2}$
Corresponding character(s): $4, 5, 6$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.9-2.0.3-3-3-3-3.45.1

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