Properties

Genus \(2\)
Small Group \(C_2\times C_6\)
Signature \([ 0; 2, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 2
Group name: $C_2\times C_6$
Group identifier: [12,5]
Signature: $[ 0; 2, 6, 6 ]$
Conjugacy classes for this refined passport: 4, 8, 9

The full automorphism group for this family is $C_3:D_4$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:$E\times E$
Corresponding character(s): 6, 8

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

2.12-5.0.2-6-6.6.1

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