Properties

Label 4.18-2.0.2-9-18
Genus \(4\)
Quotient genus \(0\)
Group \(C_{18}\)
Signature \([ 0; 2, 9, 18 ]\)

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Family Information

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

Cover

Quotient genus: $0$
Number of branch points: $3$
Signature: $[ 0; 2, 9, 18 ]$

Group

Name: $C_{18}$
Identifier:$[18,2]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
4.18-2.0.2-9-18.1 2, 7, 18
4.18-2.0.2-9-18.2 2, 8, 15
4.18-2.0.2-9-18.3 2, 9, 14
4.18-2.0.2-9-18.4 2, 10, 17
4.18-2.0.2-9-18.5 2, 11, 16
4.18-2.0.2-9-18.6 2, 12, 13

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

4.18-2.0.2-9-18.1.1
  (1,10) (2,11) (3,12) (4,13) (5,14) (6,15) (7,16) (8,17) (9,18)
  (1,4,7,2,5,8,3,6,9) (10,13,16,11,14,17,12,15,18)
  (1,18,6,12,8,14,2,16,4,10,9,15,3,17,5,11,7,13)