Properties

Label 4.5-1.0.5-5-5-5
Genus \(4\)
Quotient genus \(0\)
Group \(C_5\)
Signature \([ 0; 5, 5, 5, 5 ]\)

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Family Information

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

Cover

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

Group

Name: $C_5$
Identifier:$[5,1]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
4.5-1.0.5-5-5-5.1 2, 2, 2, 3
4.5-1.0.5-5-5-5.2 2, 2, 5, 5
4.5-1.0.5-5-5-5.3 2, 3, 4, 5
4.5-1.0.5-5-5-5.4 2, 4, 4, 4
4.5-1.0.5-5-5-5.5 3, 3, 3, 5
4.5-1.0.5-5-5-5.6 3, 3, 4, 4
4.5-1.0.5-5-5-5.7 4, 5, 5, 5

Displaying representatives for 3 topologically inequivalent actions.

4.5-1.0.5-5-5-5.1.1
  (1,2,3,4,5)
  (1,2,3,4,5)
  (1,2,3,4,5)
  (1,3,5,2,4)

4.5-1.0.5-5-5-5.2.1
  (1,2,3,4,5)
  (1,2,3,4,5)
  (1,5,4,3,2)
  (1,5,4,3,2)

4.5-1.0.5-5-5-5.3.1
  (1,2,3,4,5)
  (1,3,5,2,4)
  (1,4,2,5,3)
  (1,5,4,3,2)