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, 15

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.

13.52-1.0.4-4-26.11.1

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