Properties

Label 4.10-2.0.2-2-5-5
Genus \(4\)
Quotient genus \(0\)
Group \(C_{10}\)
Signature \([ 0; 2, 2, 5, 5 ]\)

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Family Information

Genus: $4$
Dimension of the family: $1$

Cover

Quotient genus: $0$
Number of branch points: $4$
Signature: $[ 0; 2, 2, 5, 5 ]$

Group

Name: $C_{10}$
Identifier:$[10,2]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
4.10-2.0.2-2-5-5.1 2, 2, 3, 6
4.10-2.0.2-2-5-5.2 2, 2, 4, 5

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

4.10-2.0.2-2-5-5.1.1
  (1,6) (2,7) (3,8) (4,9) (5,10)
  (1,6) (2,7) (3,8) (4,9) (5,10)
  (1,2,3,4,5) (6,7,8,9,10)
  (1,5,4,3,2) (6,10,9,8,7)