Properties

Label 7.12-4.0.2-2-2-3-6
Genus \(7\)
Quotient genus \(0\)
Group \(D_6\)
Signature \([ 0; 2, 2, 2, 3, 6 ]\)

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Family Information

Genus: $7$
Dimension of the family: $2$

Cover

Quotient genus: $0$
Number of branch points: $5$
Signature: $[ 0; 2, 2, 2, 3, 6 ]$

Group

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

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
7.12-4.0.2-2-2-3-6.1 2, 3, 3, 5, 6
7.12-4.0.2-2-2-3-6.2 2, 4, 4, 5, 6

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

7.12-4.0.2-2-2-3-6.1.1
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,2,3) (4,5,6) (7,8,9) (10,11,12)
  (1,6,2,4,3,5) (7,12,8,10,9,11)