Properties

Genus \(2\)
Quotient Genus \(0\)
Group \(\SL(2,3)\)
Signature \([ 0; 3, 3, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 2
Quotient Genus: 0
Group name: $\SL(2,3)$
Group identifier: [24,3]
Signature: $[ 0; 3, 3, 4 ]$
Conjugacy classes for this refined passport: 3, 4, 5

The full automorphism group for this family is $\GL(2,3)$ with signature $[ 0; 2, 3, 8 ]$.

Jacobian variety group algebra decomposition:$A_{2}$
Corresponding character(s): 4

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

2.24-3.0.3-3-4.1.1

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