Properties

Label 8.10-2.0.5-5-10-10.15
Genus \(8\)
Quotient genus \(0\)
Group \(C_{10}\)
Signature \([ 0; 5, 5, 10, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $8$
Quotient genus: $0$
Group name: $C_{10}$
Group identifier: $[10,2]$
Signature: $[ 0; 5, 5, 10, 10 ]$
Conjugacy classes for this refined passport: $5, 5, 7, 8$

Jacobian variety group algebra decomposition:$A_{4}\times A_{4}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.10-2.0.5-5-10-10.15.1

  (1,4,2,5,3) (6,9,7,10,8)
  (1,4,2,5,3) (6,9,7,10,8)
  (1,7,3,9,5,6,2,8,4,10)
  (1,9,2,10,3,6,4,7,5,8)