Properties

Label 11.8-4.0.4-4-4-4-4-4.7
Genus \(11\)
Quotient genus \(0\)
Group \(Q_8\)
Signature \([ 0; 4, 4, 4, 4, 4, 4 ]\)
Generating Vectors \(8\)

Related objects

Downloads

Learn more

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: $4, 4, 5, 5, 5, 5$

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{8}$
Corresponding character(s): $2, 3, 5$

Other Data

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

Generating vector(s)

Displaying 8 of 8 generating vectors for this refined passport.

11.8-4.0.4-4-4-4-4-4.7.1

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

11.8-4.0.4-4-4-4-4-4.7.2
  (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)
  (1,8,2,7) (3,6,4,5)
  (1,7,2,8) (3,5,4,6)

11.8-4.0.4-4-4-4-4-4.7.3
  (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)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)

11.8-4.0.4-4-4-4-4-4.7.4
  (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)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)

11.8-4.0.4-4-4-4-4-4.7.5
  (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)
  (1,7,2,8) (3,5,4,6)
  (1,7,2,8) (3,5,4,6)

11.8-4.0.4-4-4-4-4-4.7.6
  (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)
  (1,8,2,7) (3,6,4,5)
  (1,8,2,7) (3,6,4,5)

11.8-4.0.4-4-4-4-4-4.7.7
  (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)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (3,6,4,5)

11.8-4.0.4-4-4-4-4-4.7.8
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)
  (1,7,2,8) (3,5,4,6)
  (1,8,2,7) (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: