Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(C_3\times S_3\)
Signature \([ 0; 3, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $C_3\times S_3$
Group identifier: [18,3]
Signature: $[ 0; 3, 6, 6 ]$
Conjugacy classes for this refined passport: 6, 8, 8

The full automorphism group for this family is $C_6\times S_3$ with signature $[ 0; 2, 6, 6 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E^{2}$
Corresponding character(s): 3, 4, 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.18-3.0.3-6-6.2.1

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