Properties

Label 4.10-2.0.5-10-10.6
Genus \(4\)
Quotient genus \(0\)
Group \(C_{10}\)
Signature \([ 0; 5, 10, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $4$
Quotient genus: $0$
Group name: $C_{10}$
Group identifier: $[10,2]$
Signature: $[ 0; 5, 10, 10 ]$
Conjugacy classes for this refined passport: $5, 8, 10$

The full automorphism group for this family is $C_5:D_4$ with signature $[ 0; 2, 4, 10 ]$.

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.10-2.0.5-10-10.6.1

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