Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_3:C_{16}\)
Signature \([ 0; 3, 16, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_3:C_{16}$
Group identifier: [48,1]
Signature: $[ 0; 3, 16, 16 ]$
Conjugacy classes for this refined passport: 3, 13, 20

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

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}^{2}\times A_{8}$
Corresponding character(s): 17, 19, 21

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.48-1.0.3-16-16.1.1

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