Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(\SL(2,3)\)
Signature \([ 0; 6, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

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

The full automorphism group for this family is $\SL(2,3):S_3$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{2}^{2}$
Corresponding character(s): 2, 4, 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.24-3.0.6-6-6.1.1

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