Properties

Label 3.16-2.0.4-4-4
Genus \(3\)
Quotient genus \(0\)
Group \(C_4^2\)
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: $C_4^2$
Identifier:$[16,2]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
3.16-2.0.4-4-4.1 5, 9, 14
3.16-2.0.4-4-4.2 5, 10, 15
3.16-2.0.4-4-4.3 5, 11, 16
3.16-2.0.4-4-4.4 5, 12, 13
3.16-2.0.4-4-4.5 6, 9, 16
3.16-2.0.4-4-4.6 6, 10, 13
3.16-2.0.4-4-4.7 6, 11, 14
3.16-2.0.4-4-4.8 6, 12, 15
3.16-2.0.4-4-4.9 7, 9, 15
3.16-2.0.4-4-4.10 7, 10, 14
3.16-2.0.4-4-4.11 7, 11, 13
3.16-2.0.4-4-4.12 7, 12, 16
3.16-2.0.4-4-4.13 8, 9, 13
3.16-2.0.4-4-4.14 8, 10, 16
3.16-2.0.4-4-4.15 8, 11, 15
3.16-2.0.4-4-4.16 8, 12, 14

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

3.16-2.0.4-4-4.1.1
  (1,5,2,6) (3,7,4,8) (9,13,10,14) (11,15,12,16)
  (1,9,3,11) (2,10,4,12) (5,13,7,15) (6,14,8,16)
  (1,16,4,13) (2,15,3,14) (5,11,8,10) (6,12,7,9)