Properties

Label 14.56-2.0.2-56-56.12
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: $2, 50, 51$

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.

14.56-2.0.2-56-56.12.1

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