Properties

Label 5.10-2.0.2-2-10-10.1
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: $2, 2, 7, 10$

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.

5.10-2.0.2-2-10-10.1.1

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