Properties

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: 7, 17, 17

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

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}\times E\times E$
Corresponding character(s): 3, 4, 7, 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.18-2.0.9-18-18.2.1

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