Properties

Label 9.19-1.0.19-19-19.1
Genus \(9\)
Quotient genus \(0\)
Group \(C_{19}\)
Signature \([ 0; 19, 19, 19 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $9$
Quotient genus: $0$
Group name: $C_{19}$
Group identifier: $[19,1]$
Signature: $[ 0; 19, 19, 19 ]$
Conjugacy classes for this refined passport: $2, 2, 18$

The full automorphism group for this family is $C_{38}$ with signature $[ 0; 2, 19, 38 ]$.

Jacobian variety group algebra decomposition:$A_{9}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

9.19-1.0.19-19-19.1.1

  (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)
  (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)
  (1,18,16,14,12,10,8,6,4,2,19,17,15,13,11,9,7,5,3)