Properties

Label 4.18-5.0.3-6-6
Genus \(4\)
Quotient genus \(0\)
Group \(C_3\times C_6\)
Signature \([ 0; 3, 6, 6 ]\)

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Family Information

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

Cover

Quotient genus: $0$
Number of branch points: $3$
Signature: $[ 0; 3, 6, 6 ]$

Group

Name: $C_3\times C_6$
Identifier:$[18,5]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
4.18-5.0.3-6-6.1 3, 13, 16
4.18-5.0.3-6-6.2 3, 14, 17
4.18-5.0.3-6-6.3 3, 15, 18
4.18-5.0.3-6-6.4 4, 13, 18
4.18-5.0.3-6-6.5 4, 14, 15
4.18-5.0.3-6-6.6 4, 16, 17
4.18-5.0.3-6-6.7 5, 11, 16
4.18-5.0.3-6-6.8 5, 12, 18
4.18-5.0.3-6-6.9 5, 15, 17
4.18-5.0.3-6-6.10 6, 11, 17
4.18-5.0.3-6-6.11 6, 12, 15
4.18-5.0.3-6-6.12 6, 16, 18
4.18-5.0.3-6-6.13 7, 11, 18
4.18-5.0.3-6-6.14 7, 12, 14
4.18-5.0.3-6-6.15 7, 13, 17
4.18-5.0.3-6-6.16 8, 11, 13
4.18-5.0.3-6-6.17 8, 12, 17
4.18-5.0.3-6-6.18 8, 14, 18
4.18-5.0.3-6-6.19 9, 11, 14
4.18-5.0.3-6-6.20 9, 12, 16
4.18-5.0.3-6-6.21 9, 13, 15
4.18-5.0.3-6-6.22 10, 11, 15
4.18-5.0.3-6-6.23 10, 12, 13
4.18-5.0.3-6-6.24 10, 14, 16

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

4.18-5.0.3-6-6.1.1
  (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18)
  (1,13,7,10,4,16) (2,14,8,11,5,17) (3,15,9,12,6,18)
  (1,18,5,10,9,14) (2,16,6,11,7,15) (3,17,4,12,8,13)