Properties

Label 3.48-48.0.2-4-6
Genus \(3\)
Quotient genus \(0\)
Group \(C_2\times S_4\)
Signature \([ 0; 2, 4, 6 ]\)

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Family Information

Genus: $3$
Dimension of the family: $0$

Cover

Quotient genus: $0$
Number of branch points: $3$
Signature: $[ 0; 2, 4, 6 ]$

Group

Name: $C_2\times S_4$
Identifier:$[48,48]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
3.48-48.0.2-4-6.1 5, 9, 10
3.48-48.0.2-4-6.2 6, 8, 10

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

3.48-48.0.2-4-6.1.1
  (1,25) (2,27) (3,26) (4,28) (5,33) (6,35) (7,34) (8,36) (9,29) (10,31) (11,30) (12,32) (13,37) (14,39) (15,38) (16,40) (17,45) (18,47) (19,46) (20,48) (21,41) (22,43) (23,42) (24,44)
  (1,48,3,46) (2,45,4,47) (5,44,7,42) (6,41,8,43) (9,40,11,38) (10,37,12,39) (13,36,15,34) (14,33,16,35) (17,32,19,30) (18,29,20,31) (21,28,23,26) (22,25,24,27)
  (1,19,12,13,7,24) (2,18,10,14,6,22) (3,20,9,15,8,21) (4,17,11,16,5,23) (25,43,36,37,31,48) (26,42,34,38,30,46) (27,44,33,39,32,45) (28,41,35,40,29,47)