Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_7:C_4\)
Signature \([ 0; 4, 4, 14 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_7:C_4$
Group identifier: [28,1]
Signature: $[ 0; 4, 4, 14 ]$
Conjugacy classes for this refined passport: 3, 3, 8

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): 3, 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.28-1.0.4-4-14.1.1

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