Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_3\)
Signature \([ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_3$
Group identifier: [3,1]
Signature: $[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
Conjugacy classes for this refined passport: 2, 2, 2, 2, 2, 2, 2, 2, 2

Jacobian variety group algebra decomposition:$A_{7}$
Corresponding character(s): 2

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):Yes
Trigonal automorphism: (1,2,3)

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.3-1.0.3-3-3-3-3-3-3-3-3.1.1

  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)