Properties

Label 13.8-4.0.2-4-4-4-4-4-4.6
Genus \(13\)
Quotient genus \(0\)
Group \(Q_8\)
Signature \([ 0; 2, 4, 4, 4, 4, 4, 4 ]\)
Generating Vectors \(8\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $Q_8$
Group identifier: $[8,4]$
Signature: $[ 0; 2, 4, 4, 4, 4, 4, 4 ]$
Conjugacy classes for this refined passport: $2, 4, 4, 4, 4, 5, 5$

Jacobian variety group algebra decomposition:$A_{2}\times E\times A_{10}$
Corresponding character(s): $3, 4, 5$

Other Data

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

Generating vector(s)

Displaying 8 of 8 generating vectors for this refined passport.

13.8-4.0.2-4-4-4-4-4-4.6.1

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

13.8-4.0.2-4-4-4-4-4-4.6.2
  (1,2) (3,4) (5,6) (7,8)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)

13.8-4.0.2-4-4-4-4-4-4.6.3
  (1,2) (3,4) (5,6) (7,8)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)
  (1,5,2,6) (3,8,4,7)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)

13.8-4.0.2-4-4-4-4-4-4.6.4
  (1,2) (3,4) (5,6) (7,8)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)
  (1,6,2,5) (3,7,4,8)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)

13.8-4.0.2-4-4-4-4-4-4.6.5
  (1,2) (3,4) (5,6) (7,8)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)

13.8-4.0.2-4-4-4-4-4-4.6.6
  (1,2) (3,4) (5,6) (7,8)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)

13.8-4.0.2-4-4-4-4-4-4.6.7
  (1,2) (3,4) (5,6) (7,8)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)
  (1,6,2,5) (3,7,4,8)
  (1,5,2,6) (3,8,4,7)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)

13.8-4.0.2-4-4-4-4-4-4.6.8
  (1,2) (3,4) (5,6) (7,8)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)
  (1,6,2,5) (3,7,4,8)
  (1,6,2,5) (3,7,4,8)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)

Display number of generating vectors: