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, 14

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.

13.52-1.0.4-4-26.10.1

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