Properties

Label 7.4-2.0.2-2-2-2-2-2-2-2-2-2
Genus \(7\)
Quotient genus \(0\)
Group \(C_2^2\)
Signature \([ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]\)

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Family Information

Genus: $7$
Dimension of the family: $7$

Cover

Quotient genus: $0$
Number of branch points: $10$
Signature: $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$

Group

Name: $C_2^2$
Identifier:$[4,2]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
7.4-2.0.2-2-2-2-2-2-2-2-2-2.1 2, 2, 2, 2, 2, 2, 2, 2, 3, 3
7.4-2.0.2-2-2-2-2-2-2-2-2-2.2 2, 2, 2, 2, 2, 2, 2, 2, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.3 2, 2, 2, 2, 2, 2, 3, 3, 3, 3
7.4-2.0.2-2-2-2-2-2-2-2-2-2.4 2, 2, 2, 2, 2, 2, 3, 3, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.5 2, 2, 2, 2, 2, 2, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.6 2, 2, 2, 2, 3, 3, 3, 3, 3, 3
7.4-2.0.2-2-2-2-2-2-2-2-2-2.7 2, 2, 2, 2, 3, 3, 3, 3, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.8 2, 2, 2, 2, 3, 3, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.9 2, 2, 2, 2, 4, 4, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.10 2, 2, 3, 3, 3, 3, 3, 3, 3, 3
7.4-2.0.2-2-2-2-2-2-2-2-2-2.11 2, 2, 3, 3, 3, 3, 3, 3, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.12 2, 2, 3, 3, 3, 3, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.13 2, 2, 3, 3, 4, 4, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.14 2, 2, 4, 4, 4, 4, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.15 3, 3, 3, 3, 3, 3, 3, 3, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.16 3, 3, 3, 3, 3, 3, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.17 3, 3, 3, 3, 4, 4, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.18 3, 3, 4, 4, 4, 4, 4, 4, 4, 4

Displaying representatives for 4 topologically inequivalent actions.

7.4-2.0.2-2-2-2-2-2-2-2-2-2.1.1
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,3) (2,4)
  (1,3) (2,4)

7.4-2.0.2-2-2-2-2-2-2-2-2-2.3.1
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,3) (2,4)
  (1,3) (2,4)
  (1,3) (2,4)
  (1,3) (2,4)

7.4-2.0.2-2-2-2-2-2-2-2-2-2.4.1
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,3) (2,4)
  (1,3) (2,4)
  (1,4) (2,3)
  (1,4) (2,3)

7.4-2.0.2-2-2-2-2-2-2-2-2-2.7.1
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,2) (3,4)
  (1,3) (2,4)
  (1,3) (2,4)
  (1,3) (2,4)
  (1,3) (2,4)
  (1,4) (2,3)
  (1,4) (2,3)