Properties

Label 6.24-6.0.2-2-2-12
Genus \(6\)
Quotient genus \(0\)
Group \(D_{12}\)
Signature \([ 0; 2, 2, 2, 12 ]\)

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Family Information

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

Cover

Quotient genus: $0$
Number of branch points: $4$
Signature: $[ 0; 2, 2, 2, 12 ]$

Group

Name: $D_{12}$
Identifier:$[24,6]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
6.24-6.0.2-2-2-12.1 2, 3, 4, 8
6.24-6.0.2-2-2-12.2 2, 3, 4, 9

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

6.24-6.0.2-2-2-12.1.1
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) (13,16) (14,17) (15,18) (19,22) (20,23) (21,24)
  (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20)
  (1,21) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16)
  (1,8,6,10,2,9,4,11,3,7,5,12) (13,20,18,22,14,21,16,23,15,19,17,24)