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, 16

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.

13.52-1.0.4-4-26.6.1

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