Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(S_4\)
Signature \([ 0; 3, 4, 4 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 3
Quotient Genus: 0
Group name: $S_4$
Group identifier: [24,12]
Signature: $[ 0; 3, 4, 4 ]$
Conjugacy classes for this refined passport: 4, 5, 5

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): 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.24-12.0.3-4-4.1.1

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