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Properties

Label 9.12-4.0.2-2-2-2-2-6.3
Genus \(9\)
Quotient genus \(0\)
Group \(D_6\)
Signature \([ 0; 2, 2, 2, 2, 2, 6 ]\)
Generating Vectors \(9\)

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Family Information

Genus: $9$
Quotient genus: $0$
Group name: $D_6$
Group identifier: $[12,4]$
Signature: $[ 0; 2, 2, 2, 2, 2, 6 ]$
Conjugacy classes for this refined passport: $2, 3, 3, 3, 3, 6$

Jacobian variety group algebra decomposition:$E\times A_{2}\times E^{2}\times A_{2}^{2}$
Corresponding character(s): $2, 3, 5, 6$

Other Data

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

Generating vector(s)

Displaying 9 of 9 generating vectors for this refined passport.

9.12-4.0.2-2-2-2-2-6.3.1

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

9.12-4.0.2-2-2-2-2-6.3.2
  (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)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,6,2,4,3,5) (7,12,8,10,9,11)

9.12-4.0.2-2-2-2-2-6.3.3
  (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)
  (1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
  (1,5,3,4,2,6) (7,11,9,10,8,12)

9.12-4.0.2-2-2-2-2-6.3.4
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,5,3,4,2,6) (7,11,9,10,8,12)

9.12-4.0.2-2-2-2-2-6.3.5
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
  (1,6,2,4,3,5) (7,12,8,10,9,11)

9.12-4.0.2-2-2-2-2-6.3.6
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
  (1,5,3,4,2,6) (7,11,9,10,8,12)

9.12-4.0.2-2-2-2-2-6.3.7
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
  (1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
  (1,6,2,4,3,5) (7,12,8,10,9,11)

9.12-4.0.2-2-2-2-2-6.3.8
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
  (1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,6,2,4,3,5) (7,12,8,10,9,11)

9.12-4.0.2-2-2-2-2-6.3.9
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
  (1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
  (1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
  (1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
  (1,5,3,4,2,6) (7,11,9,10,8,12)

Display number of generating vectors: