Properties

Label 7.8-1.0.2-2-4-8-8.3
Genus \(7\)
Quotient genus \(0\)
Group \(C_8\)
Signature \([ 0; 2, 2, 4, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_8$
Group identifier: $[8,1]$
Signature: $[ 0; 2, 2, 4, 8, 8 ]$
Conjugacy classes for this refined passport: $2, 2, 3, 8, 8$

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

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.8-1.0.2-2-4-8-8.3.1

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