Properties

Label 5.12-5.0.2-2-6-6.5
Genus \(5\)
Quotient genus \(0\)
Group \(C_2\times C_6\)
Signature \([ 0; 2, 2, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_2\times C_6$
Group identifier: $[12,5]$
Signature: $[ 0; 2, 2, 6, 6 ]$
Conjugacy classes for this refined passport: $2, 4, 7, 12$

The full automorphism group for this family is $C_3:D_4$ with signature $[ 0; 2, 2, 2, 6 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E\times A_{2}$
Corresponding character(s): $4, 6, 7, 8$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.12-5.0.2-2-6-6.5.1

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