Properties

Label 6.12-2.0.2-2-12-12.2
Genus \(6\)
Quotient genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 2, 2, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $6$
Quotient genus: $0$
Group name: $C_{12}$
Group identifier: $[12,2]$
Signature: $[ 0; 2, 2, 12, 12 ]$
Conjugacy classes for this refined passport: $2, 2, 10, 11$

The full automorphism group for this family is $D_{12}$ with signature $[ 0; 2, 2, 2, 12 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{4}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.12-2.0.2-2-12-12.2.1

  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,11,4,8,5,9,2,12,3,7,6,10)
  (1,10,6,7,3,12,2,9,5,8,4,11)