Properties

Label 3.8-3.0.2-2-4-4
Genus \(3\)
Quotient genus \(0\)
Group \(D_4\)
Signature \([ 0; 2, 2, 4, 4 ]\)

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Family Information

Genus: $3$
Dimension of the family: $1$

Cover

Quotient genus: $0$
Number of branch points: $4$
Signature: $[ 0; 2, 2, 4, 4 ]$

Group

Name: $D_4$
Identifier:$[8,3]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
3.8-3.0.2-2-4-4.1 3, 3, 5, 5
3.8-3.0.2-2-4-4.2 4, 4, 5, 5

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

3.8-3.0.2-2-4-4.1.1
  (1,3) (2,4) (5,7) (6,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,7,2,8) (3,6,4,5)
  (1,8,2,7) (3,5,4,6)