Properties

Label 14.24-6.0.2-2-3-3-4.1
Genus \(14\)
Quotient genus \(0\)
Group \(D_{12}\)
Signature \([ 0; 2, 2, 3, 3, 4 ]\)
Generating Vectors \(4\)

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Family Information

Genus: $14$
Quotient genus: $0$
Group name: $D_{12}$
Group identifier: $[24,6]$
Signature: $[ 0; 2, 2, 3, 3, 4 ]$
Conjugacy classes for this refined passport: $3, 4, 5, 5, 6$

Jacobian variety group algebra decomposition:$E^{2}\times A_{2}^{2}\times A_{4}^{2}$
Corresponding character(s): $5, 6, 8$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):yes
Trigonal automorphism: (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24)

Generating vector(s)

Displaying 4 of 4 generating vectors for this refined passport.

14.24-6.0.2-2-3-3-4.1.1

  (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20)
  (1,19) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17)
  (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24)
  (1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23)
  (1,10,4,7) (2,11,5,8) (3,12,6,9) (13,22,16,19) (14,23,17,20) (15,24,18,21)

14.24-6.0.2-2-3-3-4.1.2
  (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20)
  (1,19) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17)
  (1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23)
  (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24)
  (1,10,4,7) (2,11,5,8) (3,12,6,9) (13,22,16,19) (14,23,17,20) (15,24,18,21)

14.24-6.0.2-2-3-3-4.1.3
  (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20)
  (1,21) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16)
  (1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23)
  (1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23)
  (1,10,4,7) (2,11,5,8) (3,12,6,9) (13,22,16,19) (14,23,17,20) (15,24,18,21)

14.24-6.0.2-2-3-3-4.1.4
  (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20)
  (1,20) (2,19) (3,21) (4,23) (5,22) (6,24) (7,14) (8,13) (9,15) (10,17) (11,16) (12,18)
  (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24)
  (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24)
  (1,10,4,7) (2,11,5,8) (3,12,6,9) (13,22,16,19) (14,23,17,20) (15,24,18,21)

Display number of generating vectors: