Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(C_2\times C_8\)
Signature \([ 0; 4, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Quotient Genus: 0
Group name: $C_2\times C_8$
Group identifier: [16,5]
Signature: $[ 0; 4, 8, 8 ]$
Conjugacy classes for this refined passport: 7, 9, 15

The full automorphism group for this family is $C_2^2.SD_{16}$ with signature $[ 0; 2, 4, 8 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}\times E$
Corresponding character(s): 3, 4, 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.16-5.0.4-8-8.1.1

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