Properties

Label 4.16-7.0.2-2-2-8
Genus \(4\)
Quotient genus \(0\)
Group \(D_8\)
Signature \([ 0; 2, 2, 2, 8 ]\)

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Family Information

Genus: $4$
Dimension of the family: $1$

Cover

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

Group

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

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
4.16-7.0.2-2-2-8.1 2, 3, 4, 6
4.16-7.0.2-2-2-8.2 2, 3, 4, 7

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

4.16-7.0.2-2-2-8.1.1
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16)
  (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15)
  (1,10) (2,9) (3,11) (4,12) (5,16) (6,15) (7,14) (8,13)
  (1,13,4,16,2,14,3,15) (5,12,8,10,6,11,7,9)