Properties

Label 6.8-1.0.4-4-8-8
Genus \(6\)
Quotient genus \(0\)
Group \(C_8\)
Signature \([ 0; 4, 4, 8, 8 ]\)

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Family Information

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

Cover

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

Group

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

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
6.8-1.0.4-4-8-8.1 3, 3, 5, 6
6.8-1.0.4-4-8-8.2 3, 3, 7, 8
6.8-1.0.4-4-8-8.3 3, 4, 5, 8
6.8-1.0.4-4-8-8.4 3, 4, 6, 7
6.8-1.0.4-4-8-8.5 4, 4, 5, 6
6.8-1.0.4-4-8-8.6 4, 4, 7, 8

Displaying representatives for 2 topologically inequivalent actions.

6.8-1.0.4-4-8-8.1.1
  (1,3,2,4) (5,7,6,8)
  (1,3,2,4) (5,7,6,8)
  (1,5,3,7,2,6,4,8)
  (1,7,4,5,2,8,3,6)

6.8-1.0.4-4-8-8.3.1
  (1,3,2,4) (5,7,6,8)
  (1,4,2,3) (5,8,6,7)
  (1,5,3,7,2,6,4,8)
  (1,8,4,6,2,7,3,5)