Properties

Label 9.8-1.0.4-4-4-8-8.11
Genus \(9\)
Quotient genus \(0\)
Group \(C_8\)
Signature \([ 0; 4, 4, 4, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $9$
Quotient genus: $0$
Group name: $C_8$
Group identifier: $[8,1]$
Signature: $[ 0; 4, 4, 4, 8, 8 ]$
Conjugacy classes for this refined passport: $4, 4, 4, 6, 6$

Jacobian variety group algebra decomposition:$A_{6}\times A_{3}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

9.8-1.0.4-4-4-8-8.11.1

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