Properties

Label 8.8-3.0.2-2-2-4-4-4.1
Genus \(8\)
Quotient genus \(0\)
Group \(D_4\)
Signature \([ 0; 2, 2, 2, 4, 4, 4 ]\)
Generating Vectors \(4\)

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Family Information

Genus: $8$
Quotient genus: $0$
Group name: $D_4$
Group identifier: $[8,3]$
Signature: $[ 0; 2, 2, 2, 4, 4, 4 ]$
Conjugacy classes for this refined passport: $2, 3, 4, 5, 5, 5$

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

Other Data

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

Generating vector(s)

Displaying 4 of 4 generating vectors for this refined passport.

8.8-3.0.2-2-2-4-4-4.1.1

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

8.8-3.0.2-2-2-4-4-4.1.2
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,7,2,8) (3,6,4,5)
  (1,8,2,7) (3,5,4,6)
  (1,8,2,7) (3,5,4,6)

8.8-3.0.2-2-2-4-4-4.1.3
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,8,2,7) (3,5,4,6)
  (1,7,2,8) (3,6,4,5)
  (1,8,2,7) (3,5,4,6)

8.8-3.0.2-2-2-4-4-4.1.4
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,8,2,7) (3,5,4,6)
  (1,8,2,7) (3,5,4,6)
  (1,7,2,8) (3,6,4,5)

Display number of generating vectors: