Properties

Label 8.8-1.0.2-4-4-8-8.2
Genus \(8\)
Quotient genus \(0\)
Group \(C_8\)
Signature \([ 0; 2, 4, 4, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $8$
Quotient genus: $0$
Group name: $C_8$
Group identifier: $[8,1]$
Signature: $[ 0; 2, 4, 4, 8, 8 ]$
Conjugacy classes for this refined passport: $2, 3, 3, 6, 7$

Jacobian variety group algebra decomposition:$A_{6}\times A_{2}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.8-1.0.2-4-4-8-8.2.1

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