Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(C_8\)
Signature \([ 0; 2, 4, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Quotient Genus: 0
Group name: $C_8$
Group identifier: [8,1]
Signature: $[ 0; 2, 4, 8, 8 ]$
Conjugacy classes for this refined passport: 2, 3, 5, 5

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

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.8-1.0.2-4-8-8.1.1

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