Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2\times C_{28}\)
Signature \([ 0; 2, 28, 28 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2\times C_{28}$
Group identifier: [56,8]
Signature: $[ 0; 2, 28, 28 ]$
Conjugacy classes for this refined passport: 3, 33, 56

The full automorphism group for this family is $D_{14}:C_4$ with signature $[ 0; 2, 4, 28 ]$.

Jacobian variety group algebra decomposition:$E\times A_{3}\times A_{6}\times A_{3}$
Corresponding character(s): 4, 10, 12, 14

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.56-8.0.2-28-28.1.1

  (1,15) (2,16) (3,17) (4,18) (5,19) (6,20) (7,21) (8,22) (9,23) (10,24) (11,25) (12,26) (13,27) (14,28) (29,43) (30,44) (31,45) (32,46) (33,47) (34,48) (35,49) (36,50) (37,51) (38,52) (39,53) (40,54) (41,55) (42,56)
  (1,31,6,36,9,39,14,30,3,33,8,38,11,41,2,32,5,35,10,40,13,29,4,34,7,37,12,42) (15,45,20,50,23,53,28,44,17,47,22,52,25,55,16,46,19,49,24,54,27,43,18,48,21,51,26,56)
  (1,56,12,51,7,48,4,43,13,54,10,49,5,46,2,55,11,52,8,47,3,44,14,53,9,50,6,45) (15,42,26,37,21,34,18,29,27,40,24,35,19,32,16,41,25,38,22,33,17,30,28,39,23,36,20,31)