Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_2\times A_4\)
Signature \([ 0; 2, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_2\times A_4$
Group identifier: [24,13]
Signature: $[ 0; 2, 6, 6 ]$
Conjugacy classes for this refined passport: 3, 7, 8

The full automorphism group for this family is $C_2\times S_4$ with signature $[ 0; 2, 4, 6 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.24-13.0.2-6-6.1.1

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