Properties

Label 6.16-7.0.2-2-4-8
Genus \(6\)
Quotient genus \(0\)
Group \(D_8\)
Signature \([ 0; 2, 2, 4, 8 ]\)

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Family Information

Genus: $6$
Dimension of the family: $1$

Cover

Quotient genus: $0$
Number of branch points: $4$
Signature: $[ 0; 2, 2, 4, 8 ]$

Group

Name: $D_8$
Identifier:$[16,7]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
6.16-7.0.2-2-4-8.1 3, 4, 5, 6
6.16-7.0.2-2-4-8.2 3, 4, 5, 7

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

6.16-7.0.2-2-4-8.1.1
  (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)
  (1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15)
  (1,15,3,14,2,16,4,13) (5,9,7,11,6,10,8,12)