Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_2\times C_8\)
Signature \([ 0; 2, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_2\times C_8$
Group identifier: [16,5]
Signature: $[ 0; 2, 8, 8 ]$
Conjugacy classes for this refined passport: 3, 10, 15

The full automorphism group for this family is $D_4:C_4$ with signature $[ 0; 2, 4, 8 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times E$
Corresponding character(s): 4, 6

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.16-5.0.2-8-8.2.1

  (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16)
  (1,11,4,9,2,12,3,10) (5,15,8,13,6,16,7,14)
  (1,14,3,16,2,13,4,15) (5,10,7,12,6,9,8,11)