Properties

Label 7.12-2.0.2-4-6-12
Genus \(7\)
Quotient genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 2, 4, 6, 12 ]\)

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Family Information

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

Cover

Quotient genus: $0$
Number of branch points: $4$
Signature: $[ 0; 2, 4, 6, 12 ]$

Group

Name: $C_{12}$
Identifier:$[12,2]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
7.12-2.0.2-4-6-12.1 2, 5, 7, 12
7.12-2.0.2-4-6-12.2 2, 5, 8, 11
7.12-2.0.2-4-6-12.3 2, 6, 7, 10
7.12-2.0.2-4-6-12.4 2, 6, 8, 9

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

7.12-2.0.2-4-6-12.1.1
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,7,2,8) (3,9,4,10) (5,11,6,12)
  (1,4,5,2,3,6) (7,10,11,8,9,12)
  (1,12,4,7,5,10,2,11,3,8,6,9)