Properties

Label 7.32-43.0.2-2-2-8
Genus \(7\)
Quotient genus \(0\)
Group \(D_8:C_2\)
Signature \([ 0; 2, 2, 2, 8 ]\)

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Family Information

Genus: $7$
Dimension of the family: $1$

Cover

Quotient genus: $0$
Number of branch points: $4$
Signature: $[ 0; 2, 2, 2, 8 ]$

Group

Name: $D_8:C_2$
Identifier:$[32,43]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
7.32-43.0.2-2-2-8.1 3, 4, 6, 11
7.32-43.0.2-2-2-8.2 3, 5, 6, 10

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

7.32-43.0.2-2-2-8.1.1
  (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) (17,21) (18,22) (19,23) (20,24) (25,29) (26,30) (27,31) (28,32)
  (1,9) (2,10) (3,12) (4,11) (5,13) (6,14) (7,16) (8,15) (17,25) (18,26) (19,28) (20,27) (21,29) (22,30) (23,32) (24,31)
  (1,17) (2,18) (3,20) (4,19) (5,22) (6,21) (7,23) (8,24) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29)
  (1,29,3,31,2,30,4,32) (5,26,7,28,6,25,8,27) (9,24,11,21,10,23,12,22) (13,19,15,18,14,20,16,17)