Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2^2\times A_4\)
Signature \([ 0; 6, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2^2\times A_4$
Group identifier: [48,49]
Signature: $[ 0; 6, 6, 6 ]$
Conjugacy classes for this refined passport: 11, 13, 15

The full automorphism group for this family is $D_4\times A_4$ with signature $[ 0; 2, 6, 12 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E\times E\times E^{3}\times E^{3}\times E^{3}$
Corresponding character(s): 5, 7, 8, 9, 13, 14, 15

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.48-49.0.6-6-6.1.1

  (1,17,9,13,5,21) (2,20,11,14,8,23) (3,18,12,15,6,24) (4,19,10,16,7,22) (25,41,33,37,29,45) (26,44,35,38,32,47) (27,42,36,39,30,48) (28,43,34,40,31,46)
  (1,31,12,25,7,36) (2,30,10,26,6,34) (3,32,9,27,8,33) (4,29,11,28,5,35) (13,43,24,37,19,48) (14,42,22,38,18,46) (15,44,21,39,20,45) (16,41,23,40,17,47)
  (1,42,11,37,6,47) (2,43,9,38,7,45) (3,41,10,39,5,46) (4,44,12,40,8,48) (13,30,23,25,18,35) (14,31,21,26,19,33) (15,29,22,27,17,34) (16,32,24,28,20,36)