Properties

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

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $\SL(2,3)$
Group identifier: [24,3]
Signature: $[ 0; 3, 3, 6 ]$
Conjugacy classes for this refined passport: 4, 4, 7

The full automorphism group for this family is $\SL(2,3):C_2$ with signature $[ 0; 2, 3, 12 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.24-3.0.3-3-6.2.1

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