Properties

Label 5.8-1.0.2-4-8-8
Genus \(5\)
Quotient genus \(0\)
Group \(C_8\)
Signature \([ 0; 2, 4, 8, 8 ]\)

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Family Information

Genus: $5$
Dimension of the family: $1$

Cover

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

Group

Name: $C_8$
Identifier:$[8,1]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
5.8-1.0.2-4-8-8.1 2, 3, 5, 5
5.8-1.0.2-4-8-8.2 2, 3, 6, 8
5.8-1.0.2-4-8-8.3 2, 3, 7, 7
5.8-1.0.2-4-8-8.4 2, 4, 5, 7
5.8-1.0.2-4-8-8.5 2, 4, 6, 6
5.8-1.0.2-4-8-8.6 2, 4, 8, 8

Displaying representatives for 2 topologically inequivalent actions.

5.8-1.0.2-4-8-8.1.1
  (1,2) (3,4) (5,6) (7,8)
  (1,3,2,4) (5,7,6,8)
  (1,5,3,7,2,6,4,8)
  (1,5,3,7,2,6,4,8)

5.8-1.0.2-4-8-8.2.1
  (1,2) (3,4) (5,6) (7,8)
  (1,3,2,4) (5,7,6,8)
  (1,7,4,5,2,8,3,6)
  (1,8,4,6,2,7,3,5)