Properties

Label 7.54-6.0.2-6-9
Genus \(7\)
Quotient genus \(0\)
Group \(C_9:C_6\)
Signature \([ 0; 2, 6, 9 ]\)

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Family Information

Genus: $7$
Dimension of the family: $0$

Cover

Quotient genus: $0$
Number of branch points: $3$
Signature: $[ 0; 2, 6, 9 ]$

Group

Name: $C_9:C_6$
Identifier:$[54,6]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
7.54-6.0.2-6-9.1 2, 6, 10
7.54-6.0.2-6-9.2 2, 7, 9

Displaying representatives for 2 topologically inequivalent actions.

7.54-6.0.2-6-9.1.1
  (1,28) (2,30) (3,29) (4,35) (5,34) (6,36) (7,32) (8,31) (9,33) (10,37) (11,39) (12,38) (13,44) (14,43) (15,45) (16,41) (17,40) (18,42) (19,46) (20,48) (21,47) (22,53) (23,52) (24,54) (25,50) (26,49) (27,51)
  (1,44,20,34,12,54) (2,43,21,36,10,53) (3,45,19,35,11,52) (4,40,22,31,13,49) (5,42,23,33,14,51) (6,41,24,32,15,50) (7,39,27,28,17,47) (8,38,25,30,18,46) (9,37,26,29,16,48)
  (1,24,16,3,23,18,2,22,17) (4,26,10,6,25,12,5,27,11) (7,21,14,9,20,13,8,19,15) (28,51,43,30,50,45,29,49,44) (31,53,37,33,52,39,32,54,38) (34,48,41,36,47,40,35,46,42)

7.54-6.0.2-6-9.2.1
  (1,28) (2,30) (3,29) (4,35) (5,34) (6,36) (7,32) (8,31) (9,33) (10,37) (11,39) (12,38) (13,44) (14,43) (15,45) (16,41) (17,40) (18,42) (19,46) (20,48) (21,47) (22,53) (23,52) (24,54) (25,50) (26,49) (27,51)
  (1,54,12,34,20,44) (2,53,10,36,21,43) (3,52,11,35,19,45) (4,49,13,31,22,40) (5,51,14,33,23,42) (6,50,15,32,24,41) (7,47,17,28,27,39) (8,46,18,30,25,38) (9,48,16,29,26,37)
  (1,13,26,3,15,25,2,14,27) (4,17,21,6,16,20,5,18,19) (7,11,23,9,10,22,8,12,24) (28,40,53,30,42,52,29,41,54) (31,44,48,33,43,47,32,45,46) (34,38,50,36,37,49,35,39,51)