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, 15

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.

14.48-25.0.6-6-8.2.1

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