Properties

Label 2.5-1.0.5-5-5
Genus \(2\)
Quotient genus \(0\)
Group \(C_5\)
Signature \([ 0; 5, 5, 5 ]\)

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Family Information

Genus: $2$
Dimension of the family: $0$

Cover

Quotient genus: $0$
Number of branch points: $3$
Signature: $[ 0; 5, 5, 5 ]$

Group

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

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
2.5-1.0.5-5-5.1 2, 2, 4
2.5-1.0.5-5-5.2 2, 3, 3
2.5-1.0.5-5-5.3 3, 5, 5
2.5-1.0.5-5-5.4 4, 4, 5

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

2.5-1.0.5-5-5.1.1
  (1,2,3,4,5)
  (1,2,3,4,5)
  (1,4,2,5,3)