Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_{28}\)
Signature \([ 0; 2, 28, 28 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_{28}$
Group identifier: [28,2]
Signature: $[ 0; 2, 28, 28 ]$
Conjugacy classes for this refined passport: 2, 17, 22

The full automorphism group for this family is $C_4\times D_7$ with signature $[ 0; 2, 4, 28 ]$.

Jacobian variety group algebra decomposition:$E\times A_{6}$
Corresponding character(s): 2, 6

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.28-2.0.2-28-28.1.1

  (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)
  (1,17,6,22,9,25,14,16,3,19,8,24,11,27,2,18,5,21,10,26,13,15,4,20,7,23,12,28)
  (1,27,12,24,7,19,4,16,13,25,10,22,5,17,2,28,11,23,8,20,3,15,14,26,9,21,6,18)