Properties

Label 7.32-11.0.4-4-8
Genus \(7\)
Quotient genus \(0\)
Group \(C_4\wr C_2\)
Signature \([ 0; 4, 4, 8 ]\)

Downloads

Learn more

Family Information

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

Cover

Quotient genus: $0$
Number of branch points: $3$
Signature: $[ 0; 4, 4, 8 ]$

Group

Name: $C_4\wr C_2$
Identifier:$[32,11]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
7.32-11.0.4-4-8.1 8, 12, 13
7.32-11.0.4-4-8.2 9, 12, 14
7.32-11.0.4-4-8.3 10, 12, 13
7.32-11.0.4-4-8.4 11, 12, 14

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

7.32-11.0.4-4-8.1.1
  (1,25,8,32) (2,26,7,31) (3,27,5,29) (4,28,6,30) (9,22,16,20) (10,21,15,19) (11,24,13,17) (12,23,14,18)
  (1,11,2,12) (3,10,4,9) (5,16,6,15) (7,13,8,14) (17,27,18,28) (19,26,20,25) (21,32,22,31) (23,29,24,30)
  (1,18,3,20,2,17,4,19) (5,21,7,23,6,22,8,24) (9,30,11,32,10,29,12,31) (13,26,15,28,14,25,16,27)