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Properties

Label 5.8-5.0.2-2-2-2-2-2
Genus \(5\)
Quotient genus \(0\)
Group \(C_2^3\)
Signature \([ 0; 2, 2, 2, 2, 2, 2 ]\)

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Family Information

Genus: $5$
Dimension of the family: $3$

Cover

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

Group

Name: $C_2^3$
Identifier:$[8,5]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
5.8-5.0.2-2-2-2-2-2.1 2, 2, 2, 3, 5, 8
5.8-5.0.2-2-2-2-2-2.2 2, 2, 2, 3, 6, 7
5.8-5.0.2-2-2-2-2-2.3 2, 2, 2, 4, 5, 7
5.8-5.0.2-2-2-2-2-2.4 2, 2, 2, 4, 6, 8
5.8-5.0.2-2-2-2-2-2.5 2, 2, 3, 3, 5, 5
5.8-5.0.2-2-2-2-2-2.6 2, 2, 3, 3, 6, 6
5.8-5.0.2-2-2-2-2-2.7 2, 2, 3, 3, 7, 7
5.8-5.0.2-2-2-2-2-2.8 2, 2, 3, 3, 8, 8
5.8-5.0.2-2-2-2-2-2.9 2, 2, 3, 4, 5, 6
5.8-5.0.2-2-2-2-2-2.10 2, 2, 3, 4, 7, 8
5.8-5.0.2-2-2-2-2-2.11 2, 2, 4, 4, 5, 5
5.8-5.0.2-2-2-2-2-2.12 2, 2, 4, 4, 6, 6
5.8-5.0.2-2-2-2-2-2.13 2, 2, 4, 4, 7, 7
5.8-5.0.2-2-2-2-2-2.14 2, 2, 4, 4, 8, 8
5.8-5.0.2-2-2-2-2-2.15 2, 2, 5, 5, 7, 7
5.8-5.0.2-2-2-2-2-2.16 2, 2, 5, 5, 8, 8
5.8-5.0.2-2-2-2-2-2.17 2, 2, 5, 6, 7, 8
5.8-5.0.2-2-2-2-2-2.18 2, 2, 6, 6, 7, 7
5.8-5.0.2-2-2-2-2-2.19 2, 2, 6, 6, 8, 8
5.8-5.0.2-2-2-2-2-2.20 2, 3, 3, 3, 5, 8
5.8-5.0.2-2-2-2-2-2.21 2, 3, 3, 3, 6, 7
5.8-5.0.2-2-2-2-2-2.22 2, 3, 3, 4, 5, 7
5.8-5.0.2-2-2-2-2-2.23 2, 3, 3, 4, 6, 8
5.8-5.0.2-2-2-2-2-2.24 2, 3, 4, 4, 5, 8
5.8-5.0.2-2-2-2-2-2.25 2, 3, 4, 4, 6, 7
5.8-5.0.2-2-2-2-2-2.26 2, 3, 5, 5, 5, 8
5.8-5.0.2-2-2-2-2-2.27 2, 3, 5, 5, 6, 7
5.8-5.0.2-2-2-2-2-2.28 2, 3, 5, 6, 6, 8
5.8-5.0.2-2-2-2-2-2.29 2, 3, 5, 7, 7, 8
5.8-5.0.2-2-2-2-2-2.30 2, 3, 5, 8, 8, 8
5.8-5.0.2-2-2-2-2-2.31 2, 3, 6, 6, 6, 7
5.8-5.0.2-2-2-2-2-2.32 2, 3, 6, 7, 7, 7
5.8-5.0.2-2-2-2-2-2.33 2, 3, 6, 7, 8, 8
5.8-5.0.2-2-2-2-2-2.34 2, 4, 4, 4, 5, 7
5.8-5.0.2-2-2-2-2-2.35 2, 4, 4, 4, 6, 8
5.8-5.0.2-2-2-2-2-2.36 2, 4, 5, 5, 5, 7
5.8-5.0.2-2-2-2-2-2.37 2, 4, 5, 5, 6, 8
5.8-5.0.2-2-2-2-2-2.38 2, 4, 5, 6, 6, 7
5.8-5.0.2-2-2-2-2-2.39 2, 4, 5, 7, 7, 7
5.8-5.0.2-2-2-2-2-2.40 2, 4, 5, 7, 8, 8
5.8-5.0.2-2-2-2-2-2.41 2, 4, 6, 6, 6, 8
5.8-5.0.2-2-2-2-2-2.42 2, 4, 6, 7, 7, 8
5.8-5.0.2-2-2-2-2-2.43 2, 4, 6, 8, 8, 8
5.8-5.0.2-2-2-2-2-2.44 3, 3, 3, 4, 5, 6
5.8-5.0.2-2-2-2-2-2.45 3, 3, 3, 4, 7, 8
5.8-5.0.2-2-2-2-2-2.46 3, 3, 4, 4, 5, 5
5.8-5.0.2-2-2-2-2-2.47 3, 3, 4, 4, 6, 6
5.8-5.0.2-2-2-2-2-2.48 3, 3, 4, 4, 7, 7
5.8-5.0.2-2-2-2-2-2.49 3, 3, 4, 4, 8, 8
5.8-5.0.2-2-2-2-2-2.50 3, 3, 5, 5, 6, 6
5.8-5.0.2-2-2-2-2-2.51 3, 3, 5, 5, 8, 8
5.8-5.0.2-2-2-2-2-2.52 3, 3, 5, 6, 7, 8
5.8-5.0.2-2-2-2-2-2.53 3, 3, 6, 6, 7, 7
5.8-5.0.2-2-2-2-2-2.54 3, 3, 7, 7, 8, 8
5.8-5.0.2-2-2-2-2-2.55 3, 4, 4, 4, 5, 6
5.8-5.0.2-2-2-2-2-2.56 3, 4, 4, 4, 7, 8
5.8-5.0.2-2-2-2-2-2.57 3, 4, 5, 5, 5, 6
5.8-5.0.2-2-2-2-2-2.58 3, 4, 5, 5, 7, 8
5.8-5.0.2-2-2-2-2-2.59 3, 4, 5, 6, 6, 6
5.8-5.0.2-2-2-2-2-2.60 3, 4, 5, 6, 7, 7
5.8-5.0.2-2-2-2-2-2.61 3, 4, 5, 6, 8, 8
5.8-5.0.2-2-2-2-2-2.62 3, 4, 6, 6, 7, 8
5.8-5.0.2-2-2-2-2-2.63 3, 4, 7, 7, 7, 8
5.8-5.0.2-2-2-2-2-2.64 3, 4, 7, 8, 8, 8
5.8-5.0.2-2-2-2-2-2.65 4, 4, 5, 5, 6, 6
5.8-5.0.2-2-2-2-2-2.66 4, 4, 5, 5, 7, 7
5.8-5.0.2-2-2-2-2-2.67 4, 4, 5, 6, 7, 8
5.8-5.0.2-2-2-2-2-2.68 4, 4, 6, 6, 8, 8
5.8-5.0.2-2-2-2-2-2.69 4, 4, 7, 7, 8, 8
5.8-5.0.2-2-2-2-2-2.70 5, 5, 5, 6, 7, 8
5.8-5.0.2-2-2-2-2-2.71 5, 5, 6, 6, 7, 7
5.8-5.0.2-2-2-2-2-2.72 5, 5, 6, 6, 8, 8
5.8-5.0.2-2-2-2-2-2.73 5, 5, 7, 7, 8, 8
5.8-5.0.2-2-2-2-2-2.74 5, 6, 6, 6, 7, 8
5.8-5.0.2-2-2-2-2-2.75 5, 6, 7, 7, 7, 8
5.8-5.0.2-2-2-2-2-2.76 5, 6, 7, 8, 8, 8
5.8-5.0.2-2-2-2-2-2.77 6, 6, 7, 7, 8, 8

Displaying representatives for 3 topologically inequivalent actions.

5.8-5.0.2-2-2-2-2-2.1.1
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,7) (4,8)
  (1,8) (2,7) (3,6) (4,5)

5.8-5.0.2-2-2-2-2-2.5.1
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,7) (4,8)
  (1,5) (2,6) (3,7) (4,8)

5.8-5.0.2-2-2-2-2-2.9.1
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,4) (2,3) (5,8) (6,7)
  (1,5) (2,6) (3,7) (4,8)
  (1,6) (2,5) (3,8) (4,7)