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Properties

Label 7.12-3.0.2-2-3-3-3.1
Genus \(7\)
Quotient genus \(0\)
Group \(A_4\)
Signature \([ 0; 2, 2, 3, 3, 3 ]\)
Generating Vectors \(12\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $A_4$
Group identifier: $[12,3]$
Signature: $[ 0; 2, 2, 3, 3, 3 ]$
Conjugacy classes for this refined passport: $2, 2, 3, 3, 3$

Jacobian variety group algebra decomposition:$E\times A_{2}^{3}$
Corresponding character(s): $2, 4$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying 12 of 12 generating vectors for this refined passport.

7.12-3.0.2-2-3-3-3.1.1

  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)

7.12-3.0.2-2-3-3-3.1.2
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,7,12) (2,6,10) (3,8,9) (4,5,11)
  (1,6,11) (2,7,9) (3,5,10) (4,8,12)

7.12-3.0.2-2-3-3-3.1.3
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,8,10) (2,5,12) (3,7,11) (4,6,9)
  (1,7,12) (2,6,10) (3,8,9) (4,5,11)

7.12-3.0.2-2-3-3-3.1.4
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,6,11) (2,7,9) (3,5,10) (4,8,12)
  (1,8,10) (2,5,12) (3,7,11) (4,6,9)

7.12-3.0.2-2-3-3-3.1.5
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,4) (2,3) (5,8) (6,7) (9,12) (10,11)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,7,12) (2,6,10) (3,8,9) (4,5,11)

7.12-3.0.2-2-3-3-3.1.6
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,4) (2,3) (5,8) (6,7) (9,12) (10,11)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,7,12) (2,6,10) (3,8,9) (4,5,11)
  (1,8,10) (2,5,12) (3,7,11) (4,6,9)

7.12-3.0.2-2-3-3-3.1.7
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,4) (2,3) (5,8) (6,7) (9,12) (10,11)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,8,10) (2,5,12) (3,7,11) (4,6,9)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)

7.12-3.0.2-2-3-3-3.1.8
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,4) (2,3) (5,8) (6,7) (9,12) (10,11)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,6,11) (2,7,9) (3,5,10) (4,8,12)
  (1,6,11) (2,7,9) (3,5,10) (4,8,12)

7.12-3.0.2-2-3-3-3.1.9
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,3) (2,4) (5,7) (6,8) (9,11) (10,12)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,8,10) (2,5,12) (3,7,11) (4,6,9)

7.12-3.0.2-2-3-3-3.1.10
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,3) (2,4) (5,7) (6,8) (9,11) (10,12)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,7,12) (2,6,10) (3,8,9) (4,5,11)
  (1,7,12) (2,6,10) (3,8,9) (4,5,11)

7.12-3.0.2-2-3-3-3.1.11
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,3) (2,4) (5,7) (6,8) (9,11) (10,12)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,8,10) (2,5,12) (3,7,11) (4,6,9)
  (1,6,11) (2,7,9) (3,5,10) (4,8,12)

7.12-3.0.2-2-3-3-3.1.12
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,3) (2,4) (5,7) (6,8) (9,11) (10,12)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,6,11) (2,7,9) (3,5,10) (4,8,12)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)

Display number of generating vectors:

Displaying the unique representative of this refined passport up to braid equivalence.

  7.12-3.0.2-2-3-3-3.1.1

  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)
  (1,5,9) (2,8,11) (3,6,12) (4,7,10)