Properties

Label 7.12-4.0.2-2-2-2-2-2
Genus \(7\)
Quotient genus \(0\)
Group \(D_6\)
Signature \([ 0; 2, 2, 2, 2, 2, 2 ]\)

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Family Information

Genus: $7$
Dimension of the family: $3$

Cover

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

Group

Name: $D_6$
Identifier:$[12,4]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
7.12-4.0.2-2-2-2-2-2.1 2, 2, 3, 3, 3, 3
7.12-4.0.2-2-2-2-2-2.2 2, 2, 3, 3, 4, 4
7.12-4.0.2-2-2-2-2-2.3 2, 2, 4, 4, 4, 4
7.12-4.0.2-2-2-2-2-2.4 3, 3, 3, 3, 4, 4
7.12-4.0.2-2-2-2-2-2.5 3, 3, 4, 4, 4, 4

Displaying representatives for 3 topologically inequivalent actions.

7.12-4.0.2-2-2-2-2-2.1.1
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)

7.12-4.0.2-2-2-2-2-2.2.1
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)

7.12-4.0.2-2-2-2-2-2.4.1
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)