Properties

Label 7.8-2.0.2-4-4-4-4.20
Genus \(7\)
Quotient genus \(0\)
Group \(C_2\times C_4\)
Signature \([ 0; 2, 4, 4, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_2\times C_4$
Group identifier: $[8,2]$
Signature: $[ 0; 2, 4, 4, 4, 4 ]$
Conjugacy classes for this refined passport: $4, 6, 7, 8, 8$

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{3}\times E$
Corresponding character(s): $2, 3, 4, 5$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.8-2.0.2-4-4-4-4.20.1

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