Properties

Label 11.24-6.0.2-2-12-12.3
Genus \(11\)
Quotient genus \(0\)
Group \(D_{12}\)
Signature \([ 0; 2, 2, 12, 12 ]\)
Generating Vectors \(2\)

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Family Information

Genus: $11$
Quotient genus: $0$
Group name: $D_{12}$
Group identifier: $[24,6]$
Signature: $[ 0; 2, 2, 12, 12 ]$
Conjugacy classes for this refined passport: $3, 3, 9, 9$

The full automorphism group for this family is $C_2\times D_{12}$ with signature $[ 0; 2, 2, 2, 12 ]$.

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{2}\times E^{2}\times A_{2}^{2}$
Corresponding character(s): $4, 5, 6, 7, 8$

Generating vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

11.24-6.0.2-2-12-12.3.1

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

11.24-6.0.2-2-12-12.3.2
  (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20)
  (1,18) (2,17) (3,16) (4,15) (5,14) (6,13) (7,21) (8,20) (9,19) (10,24) (11,23) (12,22)
  (1,9,5,10,3,8,4,12,2,7,6,11) (13,21,17,22,15,20,16,24,14,19,18,23)
  (1,9,5,10,3,8,4,12,2,7,6,11) (13,21,17,22,15,20,16,24,14,19,18,23)

Display number of generating vectors: