Properties

Label 3.12-4.0.2-2-2-6
Genus \(3\)
Quotient genus \(0\)
Group \(D_6\)
Signature \([ 0; 2, 2, 2, 6 ]\)

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Family Information

Genus: $3$
Dimension of the family: $1$

Cover

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

Group

Name: $D_6$
Identifier:$[12,4]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
3.12-4.0.2-2-2-6.1 2, 3, 3, 6
3.12-4.0.2-2-2-6.2 2, 4, 4, 6

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

3.12-4.0.2-2-2-6.1.1
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
  (1,5,3,4,2,6) (7,11,9,10,8,12)