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, 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.

13.52-1.0.4-4-26.3.1

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