Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_3:OD_{16}\)
Signature \([ 0; 6, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_3:OD_{16}$
Group identifier: [48,10]
Signature: $[ 0; 6, 8, 8 ]$
Conjugacy classes for this refined passport: 9, 11, 14

The full automorphism group for this family is $D_{12}:C_4$ with signature $[ 0; 2, 8, 12 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{2}\times E^{2}\times A_{4}^{2}$
Corresponding character(s): 6, 9, 11, 13, 15

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.48-10.0.6-8-8.1.1

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