Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_6\)
Signature \([ 0; 3, 3, 3, 3, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_6$
Group identifier: [6,2]
Signature: $[ 0; 3, 3, 3, 3, 6, 6 ]$
Conjugacy classes for this refined passport: 3, 3, 3, 3, 5, 5

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

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.6-2.0.3-3-3-3-6-6.1.1

  (1,2,3) (4,5,6)
  (1,2,3) (4,5,6)
  (1,2,3) (4,5,6)
  (1,2,3) (4,5,6)
  (1,5,3,4,2,6)
  (1,5,3,4,2,6)