Properties

Label 5.8-4.0.4-4-4-4
Genus \(5\)
Quotient genus \(0\)
Group \(Q_8\)
Signature \([ 0; 4, 4, 4, 4 ]\)

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Family Information

Genus: $5$
Dimension of the family: $1$

Cover

Quotient genus: $0$
Number of branch points: $4$
Signature: $[ 0; 4, 4, 4, 4 ]$

Group

Name: $Q_8$
Identifier:$[8,4]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
5.8-4.0.4-4-4-4.1 3, 3, 4, 4
5.8-4.0.4-4-4-4.2 3, 3, 5, 5
5.8-4.0.4-4-4-4.3 4, 4, 5, 5

Displaying the representative for the unique action up to topological equivalence.

5.8-4.0.4-4-4-4.1.1
  (1,3,2,4) (5,7,6,8)
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)