Properties

Label 4.40-8.0.2-4-10
Genus \(4\)
Quotient genus \(0\)
Group \(C_5:D_4\)
Signature \([ 0; 2, 4, 10 ]\)

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Family Information

Genus: $4$
Dimension of the family: $0$

Cover

Quotient genus: $0$
Number of branch points: $3$
Signature: $[ 0; 2, 4, 10 ]$

Group

Name: $C_5:D_4$
Identifier:$[40,8]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
4.40-8.0.2-4-10.1 4, 5, 10
4.40-8.0.2-4-10.2 4, 5, 11
4.40-8.0.2-4-10.3 4, 5, 12
4.40-8.0.2-4-10.4 4, 5, 13

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

4.40-8.0.2-4-10.1.1
  (1,21) (2,25) (3,24) (4,23) (5,22) (6,26) (7,30) (8,29) (9,28) (10,27) (11,36) (12,40) (13,39) (14,38) (15,37) (16,31) (17,35) (18,34) (19,33) (20,32)
  (1,35,6,40) (2,34,7,39) (3,33,8,38) (4,32,9,37) (5,31,10,36) (11,30,16,25) (12,29,17,24) (13,28,18,23) (14,27,19,22) (15,26,20,21)
  (1,12,3,14,5,11,2,13,4,15) (6,17,8,19,10,16,7,18,9,20) (21,32,23,34,25,31,22,33,24,35) (26,37,28,39,30,36,27,38,29,40)