Properties

Label 3.16-4.0.4-4-4
Genus \(3\)
Quotient genus \(0\)
Group \(C_4:C_4\)
Signature \([ 0; 4, 4, 4 ]\)

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Family Information

Genus: $3$
Dimension of the family: $0$

Cover

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

Group

Name: $C_4:C_4$
Identifier:$[16,4]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
3.16-4.0.4-4-4.1 5, 7, 10
3.16-4.0.4-4-4.2 5, 8, 9
3.16-4.0.4-4-4.3 6, 7, 9
3.16-4.0.4-4-4.4 6, 8, 10

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

3.16-4.0.4-4-4.1.1
  (1,5,3,7) (2,6,4,8) (9,13,11,15) (10,14,12,16)
  (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14)
  (1,16,2,15) (3,14,4,13) (5,12,6,11) (7,10,8,9)