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Properties

Label 11.8-4.0.4-4-4-4-4-4.1
Genus \(11\)
Quotient genus \(0\)
Group \(Q_8\)
Signature \([ 0; 4, 4, 4, 4, 4, 4 ]\)
Generating Vectors \(8\)

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Family Information

Genus: $11$
Quotient genus: $0$
Group name: $Q_8$
Group identifier: $[8,4]$
Signature: $[ 0; 4, 4, 4, 4, 4, 4 ]$
Conjugacy classes for this refined passport: $3, 3, 3, 3, 4, 4$

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{8}$
Corresponding character(s): $2, 4, 5$

Other Data

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

Generating vector(s)

Displaying 8 of 8 generating vectors for this refined passport.

11.8-4.0.4-4-4-4-4-4.1.1

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

11.8-4.0.4-4-4-4-4-4.1.2
  (1,3,2,4) (5,7,6,8)
  (1,3,2,4) (5,7,6,8)
  (1,3,2,4) (5,7,6,8)
  (1,4,2,3) (5,8,6,7)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)

11.8-4.0.4-4-4-4-4-4.1.3
  (1,3,2,4) (5,7,6,8)
  (1,3,2,4) (5,7,6,8)
  (1,4,2,3) (5,8,6,7)
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)

11.8-4.0.4-4-4-4-4-4.1.4
  (1,3,2,4) (5,7,6,8)
  (1,3,2,4) (5,7,6,8)
  (1,4,2,3) (5,8,6,7)
  (1,4,2,3) (5,8,6,7)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)

11.8-4.0.4-4-4-4-4-4.1.5
  (1,3,2,4) (5,7,6,8)
  (1,4,2,3) (5,8,6,7)
  (1,3,2,4) (5,7,6,8)
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)

11.8-4.0.4-4-4-4-4-4.1.6
  (1,3,2,4) (5,7,6,8)
  (1,4,2,3) (5,8,6,7)
  (1,3,2,4) (5,7,6,8)
  (1,4,2,3) (5,8,6,7)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)

11.8-4.0.4-4-4-4-4-4.1.7
  (1,3,2,4) (5,7,6,8)
  (1,4,2,3) (5,8,6,7)
  (1,4,2,3) (5,8,6,7)
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)

11.8-4.0.4-4-4-4-4-4.1.8
  (1,3,2,4) (5,7,6,8)
  (1,4,2,3) (5,8,6,7)
  (1,4,2,3) (5,8,6,7)
  (1,4,2,3) (5,8,6,7)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)

Display number of generating vectors: