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: 7, 9, 9

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.

4.18-3.0.3-6-6.3.1

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