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Properties

Label 14.8-4.0.4-4-4-4-4-4-4.6
Genus \(14\)
Quotient genus \(0\)
Group \(Q_8\)
Signature \([ 0; 4, 4, 4, 4, 4, 4, 4 ]\)
Generating Vectors \(16\)

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Family Information

Genus: $14$
Quotient genus: $0$
Group name: $Q_8$
Group identifier: $[8,4]$
Signature: $[ 0; 4, 4, 4, 4, 4, 4, 4 ]$
Conjugacy classes for this refined passport: $3, 4, 5, 5, 5, 5, 5$

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}\times A_{10}$
Corresponding character(s): $2, 3, 5$

Other Data

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

Generating vector(s)

Displaying 16 of 16 generating vectors for this refined passport.

14.8-4.0.4-4-4-4-4-4-4.6.1

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

14.8-4.0.4-4-4-4-4-4-4.6.2
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)

14.8-4.0.4-4-4-4-4-4-4.6.3
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)

14.8-4.0.4-4-4-4-4-4-4.6.4
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)

14.8-4.0.4-4-4-4-4-4-4.6.5
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)

14.8-4.0.4-4-4-4-4-4-4.6.6
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)

14.8-4.0.4-4-4-4-4-4-4.6.7
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (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)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)

14.8-4.0.4-4-4-4-4-4-4.6.8
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (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)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)

14.8-4.0.4-4-4-4-4-4-4.6.9
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)

14.8-4.0.4-4-4-4-4-4-4.6.10
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)

14.8-4.0.4-4-4-4-4-4-4.6.11
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)

14.8-4.0.4-4-4-4-4-4-4.6.12
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)

14.8-4.0.4-4-4-4-4-4-4.6.13
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)

14.8-4.0.4-4-4-4-4-4-4.6.14
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)

14.8-4.0.4-4-4-4-4-4-4.6.15
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)

14.8-4.0.4-4-4-4-4-4-4.6.16
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)

Display number of generating vectors: