Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(C_2\times C_3:C_4\)
Signature \([ 0; 4, 4, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Quotient Genus: 0
Group name: $C_2\times C_3:C_4$
Group identifier: [24,7]
Signature: $[ 0; 4, 4, 6 ]$
Conjugacy classes for this refined passport: 6, 8, 12

The full automorphism group for this family is $D_6:C_4$ with signature $[ 0; 2, 4, 12 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{2}$
Corresponding character(s): 7, 9, 12

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.24-7.0.4-4-6.1.1

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