Properties

Label 8.10-2.0.5-5-10-10.2
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: $3, 3, 10, 10$

The full automorphism group for this family is $C_2\times C_{10}$ with signature $[ 0; 2, 2, 5, 10 ]$.

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.10-2.0.5-5-10-10.2.1

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