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, 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.

13.52-1.0.4-4-26.4.1

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