Properties

Label 6.12-5.0.2-3-6-6
Genus \(6\)
Quotient genus \(0\)
Group \(C_2\times C_6\)
Signature \([ 0; 2, 3, 6, 6 ]\)

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Family Information

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

Cover

Quotient genus: $0$
Number of branch points: $4$
Signature: $[ 0; 2, 3, 6, 6 ]$

Group

Name: $C_2\times C_6$
Identifier:$[12,5]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
6.12-5.0.2-3-6-6.1 2, 5, 9, 11
6.12-5.0.2-3-6-6.2 2, 6, 10, 12
6.12-5.0.2-3-6-6.3 3, 5, 7, 11
6.12-5.0.2-3-6-6.4 3, 6, 8, 12
6.12-5.0.2-3-6-6.5 4, 5, 7, 9
6.12-5.0.2-3-6-6.6 4, 6, 8, 10

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

6.12-5.0.2-3-6-6.1.1
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,2,3) (4,5,6) (7,8,9) (10,11,12)
  (1,8,3,7,2,9) (4,11,6,10,5,12)
  (1,11,3,10,2,12) (4,8,6,7,5,9)