Properties

Genus \(3\)
Small Group \(C_9\)
Signature \([ 0; 3, 9, 9 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 3
Group name: $C_9$
Group identifier: [9,1]
Signature: $[ 0; 3, 9, 9 ]$
Conjugacy classes for this refined passport: 3, 4, 5

Jacobian variety group algebra decomposition:$A_{3}$
Corresponding character(s): 2

Other Data

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

Equation(s) of curve(s) in this refined passport:
  $y^3 = x (x^3-1)$

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.9-1.0.3-9-9.4.1

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