Properties

Label 7.8-1.0.8-8-8-8.4
Genus \(7\)
Quotient genus \(0\)
Group \(C_8\)
Signature \([ 0; 8, 8, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_8$
Group identifier: $[8,1]$
Signature: $[ 0; 8, 8, 8, 8 ]$
Conjugacy classes for this refined passport: $5, 6, 7, 8$

The full automorphism group for this family is $D_8:C_2$ with signature $[ 0; 2, 2, 2, 8 ]$.

Jacobian variety group algebra decomposition:$A_{4}\times A_{2}\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.8-1.0.8-8-8-8.4.1

  (1,5,3,7,2,6,4,8)
  (1,7,4,5,2,8,3,6)
  (1,6,3,8,2,5,4,7)
  (1,8,4,6,2,7,3,5)