Properties

Label 4.16-9.0.4-4-8
Genus \(4\)
Quotient genus \(0\)
Group \(Q_{16}\)
Signature \([ 0; 4, 4, 8 ]\)

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Family Information

Genus: $4$
Dimension of the family: $0$

Cover

Quotient genus: $0$
Number of branch points: $3$
Signature: $[ 0; 4, 4, 8 ]$

Group

Name: $Q_{16}$
Identifier:$[16,9]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
4.16-9.0.4-4-8.1 4, 5, 6
4.16-9.0.4-4-8.2 4, 5, 7

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

4.16-9.0.4-4-8.1.1
  (1,5,2,6) (3,8,4,7) (9,13,10,14) (11,16,12,15)
  (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14)
  (1,13,4,16,2,14,3,15) (5,11,8,9,6,12,7,10)