Properties

Label 5.10-2.0.2-2-10-10.2
Genus \(5\)
Quotient genus \(0\)
Group \(C_{10}\)
Signature \([ 0; 2, 2, 10, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_{10}$
Group identifier: $[10,2]$
Signature: $[ 0; 2, 2, 10, 10 ]$
Conjugacy classes for this refined passport: $2, 2, 8, 9$

The full automorphism group for this family is $D_{10}$ with signature $[ 0; 2, 2, 2, 10 ]$.

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.10-2.0.2-2-10-10.2.1

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