Properties

Label 4.6-2.0.3-3-6-6.3
Genus \(4\)
Quotient genus \(0\)
Group \(C_6\)
Signature \([ 0; 3, 3, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $4$
Quotient genus: $0$
Group name: $C_6$
Group identifier: $[6,2]$
Signature: $[ 0; 3, 3, 6, 6 ]$
Conjugacy classes for this refined passport: $4, 4, 5, 5$

The full automorphism group for this family is $C_2\times C_6$ with signature $[ 0; 2, 2, 3, 6 ]$.

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.6-2.0.3-3-6-6.3.1

  (1,3,2) (4,6,5)
  (1,3,2) (4,6,5)
  (1,5,3,4,2,6)
  (1,5,3,4,2,6)