Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2\times C_7:C_4\)
Signature \([ 0; 4, 4, 14 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2\times C_7:C_4$
Group identifier: [56,6]
Signature: $[ 0; 4, 4, 14 ]$
Conjugacy classes for this refined passport: 5, 7, 18

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

Jacobian variety group algebra decomposition:$E\times A_{6}\times A_{6}$
Corresponding character(s): 5, 9, 13

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.56-6.0.4-4-14.1.1

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