Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_3\times D_8\)
Signature \([ 0; 6, 6, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_3\times D_8$
Group identifier: [48,25]
Signature: $[ 0; 6, 6, 8 ]$
Conjugacy classes for this refined passport: 10, 13, 14

The full automorphism group for this family is $C_3:D_{16}$ with signature $[ 0; 2, 6, 16 ]$.

Jacobian variety group algebra decomposition:$E\times E\times A_{2}^{2}\times A_{4}^{2}$
Corresponding character(s): 6, 7, 14, 18

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.48-25.0.6-6-8.1.1

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