Properties

Label 11.16-13.0.2-2-4-4-4.23
Genus \(11\)
Quotient genus \(0\)
Group \(D_4:C_2\)
Signature \([ 0; 2, 2, 4, 4, 4 ]\)
Generating Vectors \(4\)

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Family Information

Genus: $11$
Quotient genus: $0$
Group name: $D_4:C_2$
Group identifier: $[16,13]$
Signature: $[ 0; 2, 2, 4, 4, 4 ]$
Conjugacy classes for this refined passport: $4, 5, 8, 10, 10$

Jacobian variety group algebra decomposition:$E\times E\times E\times A_{4}^{2}$
Corresponding character(s): $5, 6, 8, 9$

Other Data

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

Generating vector(s)

Displaying 4 of 4 generating vectors for this refined passport.

11.16-13.0.2-2-4-4-4.23.1

  (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15)
  (1,15) (2,16) (3,14) (4,13) (5,12) (6,11) (7,9) (8,10)
  (1,7,2,8) (3,6,4,5) (9,15,10,16) (11,14,12,13)
  (1,13,2,14) (3,15,4,16) (5,10,6,9) (7,12,8,11)
  (1,13,2,14) (3,15,4,16) (5,10,6,9) (7,12,8,11)

11.16-13.0.2-2-4-4-4.23.2
  (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15)
  (1,15) (2,16) (3,14) (4,13) (5,12) (6,11) (7,9) (8,10)
  (1,7,2,8) (3,6,4,5) (9,15,10,16) (11,14,12,13)
  (1,14,2,13) (3,16,4,15) (5,9,6,10) (7,11,8,12)
  (1,14,2,13) (3,16,4,15) (5,9,6,10) (7,11,8,12)

11.16-13.0.2-2-4-4-4.23.3
  (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15)
  (1,15) (2,16) (3,14) (4,13) (5,12) (6,11) (7,9) (8,10)
  (1,8,2,7) (3,5,4,6) (9,16,10,15) (11,13,12,14)
  (1,13,2,14) (3,15,4,16) (5,10,6,9) (7,12,8,11)
  (1,14,2,13) (3,16,4,15) (5,9,6,10) (7,11,8,12)

11.16-13.0.2-2-4-4-4.23.4
  (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15)
  (1,15) (2,16) (3,14) (4,13) (5,12) (6,11) (7,9) (8,10)
  (1,8,2,7) (3,5,4,6) (9,16,10,15) (11,13,12,14)
  (1,14,2,13) (3,16,4,15) (5,9,6,10) (7,11,8,12)
  (1,13,2,14) (3,15,4,16) (5,10,6,9) (7,12,8,11)

Display number of generating vectors: