Properties

Label 13.14-2.0.14-14-14-14.16
Genus \(13\)
Quotient genus \(0\)
Group \(C_{14}\)
Signature \([ 0; 14, 14, 14, 14 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_{14}$
Group identifier: $[14,2]$
Signature: $[ 0; 14, 14, 14, 14 ]$
Conjugacy classes for this refined passport: $11, 13, 14, 14$

The full automorphism group for this family is $C_7:D_4$ with signature $[ 0; 2, 2, 2, 14 ]$.

Jacobian variety group algebra decomposition:$E\times A_{6}\times A_{6}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.14-2.0.14-14-14-14.16.1

  (1,13,4,9,7,12,3,8,6,11,2,14,5,10)
  (1,12,2,13,3,14,4,8,5,9,6,10,7,11)
  (1,14,6,12,4,10,2,8,7,13,5,11,3,9)
  (1,14,6,12,4,10,2,8,7,13,5,11,3,9)