Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_{13}:C_4\)
Signature \([ 0; 4, 4, 26 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_{13}:C_4$
Group identifier: [52,1]
Signature: $[ 0; 4, 4, 26 ]$
Conjugacy classes for this refined passport: 3, 3, 11

The full automorphism group for this family is $C_4\times D_{13}$ with signature $[ 0; 2, 4, 52 ]$.

Jacobian variety group algebra decomposition:$E\times A_{12}$
Corresponding character(s): 3, 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.52-1.0.4-4-26.1.1

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