Properties

Label 6.8-3.0.2-2-2-2-2-4
Genus \(6\)
Quotient genus \(0\)
Group \(D_4\)
Signature \([ 0; 2, 2, 2, 2, 2, 4 ]\)

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Family Information

Genus: $6$
Dimension of the family: $3$

Cover

Quotient genus: $0$
Number of branch points: $6$
Signature: $[ 0; 2, 2, 2, 2, 2, 4 ]$

Group

Name: $D_4$
Identifier:$[8,3]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
6.8-3.0.2-2-2-2-2-4.1 2, 2, 2, 3, 4, 5
6.8-3.0.2-2-2-2-2-4.2 2, 3, 3, 3, 4, 5
6.8-3.0.2-2-2-2-2-4.3 2, 3, 4, 4, 4, 5

Displaying representatives for 2 topologically inequivalent actions.

6.8-3.0.2-2-2-2-2-4.1.1
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,8,2,7) (3,5,4,6)

6.8-3.0.2-2-2-2-2-4.2.1
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,8,2,7) (3,5,4,6)