Properties

Label 14.56-2.0.2-56-56.4
Genus \(14\)
Quotient genus \(0\)
Group \(C_{56}\)
Signature \([ 0; 2, 56, 56 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $14$
Quotient genus: $0$
Group name: $C_{56}$
Group identifier: $[56,2]$
Signature: $[ 0; 2, 56, 56 ]$
Conjugacy classes for this refined passport: $2, 36, 41$

The full automorphism group for this family is $C_{56}:C_2$ with signature $[ 0; 2, 4, 56 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{12}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.56-2.0.2-56-56.4.1

  (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) (53,54) (55,56)
  (1,37,19,55,6,42,24,32,9,45,27,35,14,50,4,40,17,53,7,43,22,30,12,48,25,33,15,51,2,38,20,56,5,41,23,31,10,46,28,36,13,49,3,39,18,54,8,44,21,29,11,47,26,34,16,52)
  (1,51,16,33,26,48,11,30,21,43,8,53,18,40,3,50,13,35,28,45,10,32,23,42,5,55,20,37,2,52,15,34,25,47,12,29,22,44,7,54,17,39,4,49,14,36,27,46,9,31,24,41,6,56,19,38)