Properties

Label 13.9-2.0.3-3-3-3-3-3-3.3
Genus \(13\)
Quotient genus \(0\)
Group \(C_3^2\)
Signature \([ 0; 3, 3, 3, 3, 3, 3, 3 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_3^2$
Group identifier: $[9,2]$
Signature: $[ 0; 3, 3, 3, 3, 3, 3, 3 ]$
Conjugacy classes for this refined passport: $2, 2, 2, 2, 2, 7, 8$

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

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.

13.9-2.0.3-3-3-3-3-3-3.3.1

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