Properties

Label 5.12-5.0.2-2-6-6
Genus \(5\)
Quotient genus \(0\)
Group \(C_2\times C_6\)
Signature \([ 0; 2, 2, 6, 6 ]\)

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Family Information

Genus: $5$
Dimension of the family: $1$

Cover

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

Group

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

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
5.12-5.0.2-2-6-6.1 2, 2, 9, 10
5.12-5.0.2-2-6-6.2 2, 2, 11, 12
5.12-5.0.2-2-6-6.3 2, 3, 7, 10
5.12-5.0.2-2-6-6.4 2, 3, 8, 9
5.12-5.0.2-2-6-6.5 2, 4, 7, 12
5.12-5.0.2-2-6-6.6 2, 4, 8, 11
5.12-5.0.2-2-6-6.7 3, 3, 7, 8
5.12-5.0.2-2-6-6.8 3, 3, 11, 12
5.12-5.0.2-2-6-6.9 3, 4, 9, 12
5.12-5.0.2-2-6-6.10 3, 4, 10, 11
5.12-5.0.2-2-6-6.11 4, 4, 7, 8
5.12-5.0.2-2-6-6.12 4, 4, 9, 10

Displaying representatives for 2 topologically inequivalent actions.

5.12-5.0.2-2-6-6.1.1
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,8,3,7,2,9) (4,11,6,10,5,12)
  (1,9,2,7,3,8) (4,12,5,10,6,11)

5.12-5.0.2-2-6-6.3.1
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,7) (2,8) (3,9) (4,10) (5,11) (6,12)
  (1,5,3,4,2,6) (7,11,9,10,8,12)
  (1,9,2,7,3,8) (4,12,5,10,6,11)