Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(C_{10}\)
Signature \([ 0; 5, 10, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $C_{10}$
Group identifier: [10,2]
Signature: $[ 0; 5, 10, 10 ]$
Conjugacy classes for this refined passport: 3, 7, 8

The full automorphism group for this family is $C_5:D_4$ with signature $[ 0; 2, 4, 10 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.10-2.0.5-10-10.1.1

  (1,2,3,4,5) (6,7,8,9,10)
  (1,7,3,9,5,6,2,8,4,10)
  (1,9,2,10,3,6,4,7,5,8)