Properties

Label 4.72-40.0.2-4-6
Genus \(4\)
Quotient genus \(0\)
Group \(\SOPlus(4,2)\)
Signature \([ 0; 2, 4, 6 ]\)

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Family Information

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

Cover

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

Group

Name: $\SOPlus(4,2)$
Identifier:$[72,40]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
4.72-40.0.2-4-6.1 2, 7, 9
4.72-40.0.2-4-6.2 3, 7, 8

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

4.72-40.0.2-4-6.1.1
  (1,19) (2,22) (3,25) (4,20) (5,23) (6,26) (7,21) (8,24) (9,27) (10,28) (11,31) (12,34) (13,29) (14,32) (15,35) (16,30) (17,33) (18,36) (37,55) (38,58) (39,61) (40,56) (41,59) (42,62) (43,57) (44,60) (45,63) (46,64) (47,67) (48,70) (49,65) (50,68) (51,71) (52,66) (53,69) (54,72)
  (1,60,11,72) (2,63,10,69) (3,57,12,66) (4,59,17,70) (5,62,16,67) (6,56,18,64) (7,58,14,71) (8,61,13,68) (9,55,15,65) (19,51,29,45) (20,54,28,42) (21,48,30,39) (22,50,35,43) (23,53,34,40) (24,47,36,37) (25,49,32,44) (26,52,31,41) (27,46,33,38)
  (1,54,4,48,7,51) (2,53,5,47,8,50) (3,52,6,46,9,49) (10,45,13,39,16,42) (11,44,14,38,17,41) (12,43,15,37,18,40) (19,63,22,57,25,60) (20,62,23,56,26,59) (21,61,24,55,27,58) (28,72,31,66,34,69) (29,71,32,65,35,68) (30,70,33,64,36,67)