Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_{52}\)
Signature \([ 0; 2, 52, 52 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_{52}$
Group identifier: [52,2]
Signature: $[ 0; 2, 52, 52 ]$
Conjugacy classes for this refined passport: 2, 29, 40

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): 2, 6

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.52-2.0.2-52-52.1.1

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