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, 12

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.

13.52-1.0.4-4-26.2.1

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