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: 4, 4, 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.

13.52-1.0.4-4-26.8.1

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