Properties

Label 8.8-3.0.2-2-2-2-2-2-4.6
Genus \(8\)
Quotient genus \(0\)
Group \(D_4\)
Signature \([ 0; 2, 2, 2, 2, 2, 2, 4 ]\)
Generating Vectors \(16\)

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Family Information

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

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

Other Data

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

Generating vector(s)

Displaying 16 of 16 generating vectors for this refined passport.

8.8-3.0.2-2-2-2-2-2-4.6.1

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

8.8-3.0.2-2-2-2-2-2-4.6.2
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,8,2,7) (3,5,4,6)

8.8-3.0.2-2-2-2-2-2-4.6.3
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,5) (2,6) (3,8) (4,7)
  (1,8,2,7) (3,5,4,6)

8.8-3.0.2-2-2-2-2-2-4.6.4
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,7,2,8) (3,6,4,5)

8.8-3.0.2-2-2-2-2-2-4.6.5
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,5) (2,6) (3,8) (4,7)
  (1,8,2,7) (3,5,4,6)

8.8-3.0.2-2-2-2-2-2-4.6.6
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,7,2,8) (3,6,4,5)

8.8-3.0.2-2-2-2-2-2-4.6.7
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (2,6) (3,8) (4,7)
  (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) (3,6,4,5)

8.8-3.0.2-2-2-2-2-2-4.6.8
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (2,6) (3,8) (4,7)
  (1,6) (2,5) (3,7) (4,8)
  (1,6) (2,5) (3,7) (4,8)
  (1,6) (2,5) (3,7) (4,8)
  (1,8,2,7) (3,5,4,6)

8.8-3.0.2-2-2-2-2-2-4.6.9
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,5) (2,6) (3,8) (4,7)
  (1,8,2,7) (3,5,4,6)

8.8-3.0.2-2-2-2-2-2-4.6.10
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,7,2,8) (3,6,4,5)

8.8-3.0.2-2-2-2-2-2-4.6.11
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,5) (2,6) (3,8) (4,7)
  (1,7,2,8) (3,6,4,5)

8.8-3.0.2-2-2-2-2-2-4.6.12
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,8,2,7) (3,5,4,6)

8.8-3.0.2-2-2-2-2-2-4.6.13
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,5) (2,6) (3,8) (4,7)
  (1,7,2,8) (3,6,4,5)

8.8-3.0.2-2-2-2-2-2-4.6.14
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,8,2,7) (3,5,4,6)

8.8-3.0.2-2-2-2-2-2-4.6.15
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,5) (2,6) (3,8) (4,7)
  (1,8,2,7) (3,5,4,6)

8.8-3.0.2-2-2-2-2-2-4.6.16
  (1,3) (2,4) (5,7) (6,8)
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,7,2,8) (3,6,4,5)

Display number of generating vectors: