Properties

Genus \(5\)
Small Group \(C_2\times A_4\)
Signature \([ 0; 3, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Group name: $C_2\times A_4$
Group identifier: [24,13]
Signature: $[ 0; 3, 6, 6 ]$
Conjugacy classes for this refined passport: 5, 7, 7

The full automorphism group for this family is $GL(2,Z/4)$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E^{3}$
Corresponding character(s): 3, 4, 8

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.24-13.0.3-6-6.1.1

  (1,5,9) (2,8,11) (3,6,12) (4,7,10) (13,17,21) (14,20,23) (15,18,24) (16,19,22)
  (1,19,12,13,7,24) (2,18,10,14,6,22) (3,20,9,15,8,21) (4,17,11,16,5,23)
  (1,18,11,13,6,23) (2,19,9,14,7,21) (3,17,10,15,5,22) (4,20,12,16,8,24)