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, 13

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.

13.52-1.0.4-4-26.9.1

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