Properties

Label 3.16-11.0.2-2-2-4
Genus \(3\)
Quotient genus \(0\)
Group \(C_2\times D_4\)
Signature \([ 0; 2, 2, 2, 4 ]\)

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Family Information

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

Cover

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

Group

Name: $C_2\times D_4$
Identifier:$[16,11]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
3.16-11.0.2-2-2-4.1 3, 5, 7, 10
3.16-11.0.2-2-2-4.2 3, 5, 8, 9
3.16-11.0.2-2-2-4.3 3, 6, 7, 9
3.16-11.0.2-2-2-4.4 3, 6, 8, 10
3.16-11.0.2-2-2-4.5 4, 5, 7, 10
3.16-11.0.2-2-2-4.6 4, 5, 8, 9
3.16-11.0.2-2-2-4.7 4, 6, 7, 9
3.16-11.0.2-2-2-4.8 4, 6, 8, 10

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

3.16-11.0.2-2-2-4.1.1
  (1,3) (2,4) (5,7) (6,8) (9,11) (10,12) (13,15) (14,16)
  (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16)
  (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15)
  (1,15,2,16) (3,13,4,14) (5,12,6,11) (7,10,8,9)