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Properties

Label 12.8-3.0.2-2-2-2-2-2-2-2-4.10
Genus \(12\)
Quotient genus \(0\)
Group \(D_4\)
Signature \([ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]\)
Generating Vectors \(64\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $D_4$
Group identifier: $[8,3]$
Signature: $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$
Conjugacy classes for this refined passport: $3, 4, 4, 4, 4, 4, 4, 4, 5$

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

Other Data

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

Generating vector(s)

Displaying 20 of 64 generating vectors for this refined passport.

12.8-3.0.2-2-2-2-2-2-2-2-4.10.1

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

12.8-3.0.2-2-2-2-2-2-2-2-4.10.2
  (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)
  (1,5) (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)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.3
  (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)
  (1,5) (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)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.4
  (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)
  (1,5) (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)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.5
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (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)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.6
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (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)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.7
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (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)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.8
  (1,3) (2,4) (5,7) (6,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (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)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.9
  (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)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (2,6) (3,8) (4,7)
  (1,8,2,7) (3,5,4,6)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.10
  (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)
  (1,5) (2,6) (3,8) (4,7)
  (1,6) (2,5) (3,7) (4,8)
  (1,7,2,8) (3,6,4,5)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.11
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,7,2,8) (3,6,4,5)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.12
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,6) (2,5) (3,7) (4,8)
  (1,8,2,7) (3,5,4,6)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.13
  (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)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (2,6) (3,8) (4,7)
  (1,7,2,8) (3,6,4,5)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.14
  (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)
  (1,5) (2,6) (3,8) (4,7)
  (1,6) (2,5) (3,7) (4,8)
  (1,8,2,7) (3,5,4,6)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.15
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,8,2,7) (3,5,4,6)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.16
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,6) (2,5) (3,7) (4,8)
  (1,7,2,8) (3,6,4,5)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.17
  (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)
  (1,5) (2,6) (3,8) (4,7)
  (1,5) (2,6) (3,8) (4,7)
  (1,8,2,7) (3,5,4,6)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.18
  (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)
  (1,5) (2,6) (3,8) (4,7)
  (1,6) (2,5) (3,7) (4,8)
  (1,7,2,8) (3,6,4,5)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.19
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,5) (2,6) (3,8) (4,7)
  (1,7,2,8) (3,6,4,5)

12.8-3.0.2-2-2-2-2-2-2-2-4.10.20
  (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)
  (1,6) (2,5) (3,7) (4,8)
  (1,6) (2,5) (3,7) (4,8)
  (1,8,2,7) (3,5,4,6)

Display number of generating vectors: