Properties

Label 8.18-2.0.2-2-9-9.2
Genus \(8\)
Quotient genus \(0\)
Group \(C_{18}\)
Signature \([ 0; 2, 2, 9, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $8$
Quotient genus: $0$
Group name: $C_{18}$
Group identifier: $[18,2]$
Signature: $[ 0; 2, 2, 9, 9 ]$
Conjugacy classes for this refined passport: $2, 2, 8, 11$

The full automorphism group for this family is $D_{18}$ with signature $[ 0; 2, 2, 2, 9 ]$.

Jacobian variety group algebra decomposition:$A_{6}\times A_{2}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.18-2.0.2-2-9-9.2.1

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