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, 24, 27

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.

7.28-2.0.2-28-28.5.1

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