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: 5, 8, 9

The full automorphism group for this family is $S_3\wr C_2$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:$A_{2}^{2}$
Corresponding character(s): 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.18-3.0.3-6-6.1.1

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