Properties

Label 8.18-2.0.9-18-18.4
Genus \(8\)
Quotient genus \(0\)
Group \(C_{18}\)
Signature \([ 0; 9, 18, 18 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $8$
Quotient genus: $0$
Group name: $C_{18}$
Group identifier: $[18,2]$
Signature: $[ 0; 9, 18, 18 ]$
Conjugacy classes for this refined passport: $8, 18, 18$

The full automorphism group for this family is $C_9:D_4$ with signature $[ 0; 2, 4, 18 ]$.

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}\times E\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.18-2.0.9-18-18.4.1

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