Properties

Label 6.7-1.0.7-7-7-7.18
Genus \(6\)
Quotient genus \(0\)
Group \(C_7\)
Signature \([ 0; 7, 7, 7, 7 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $6$
Quotient genus: $0$
Group name: $C_7$
Group identifier: $[7,1]$
Signature: $[ 0; 7, 7, 7, 7 ]$
Conjugacy classes for this refined passport: $6, 6, 6, 7$

The full automorphism group for this family is $D_{14}$ with signature $[ 0; 2, 2, 2, 7 ]$.

Jacobian variety group algebra decomposition:$A_{6}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.7-1.0.7-7-7-7.18.1

  (1,6,4,2,7,5,3)
  (1,6,4,2,7,5,3)
  (1,6,4,2,7,5,3)
  (1,7,6,5,4,3,2)