Properties

Label 5.16-11.0.2-2-2-2-2.9
Genus \(5\)
Quotient genus \(0\)
Group \(C_2\times D_4\)
Signature \([ 0; 2, 2, 2, 2, 2 ]\)
Generating Vectors \(2\)

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Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_2\times D_4$
Group identifier: $[16,11]$
Signature: $[ 0; 2, 2, 2, 2, 2 ]$
Conjugacy classes for this refined passport: $4, 6, 6, 7, 8$

Jacobian variety group algebra decomposition:$E\times E\times E\times E^{2}$
Corresponding character(s): $3, 4, 5, 9$

Other Data

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

Generating vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

5.16-11.0.2-2-2-2-2.9.1

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

5.16-11.0.2-2-2-2-2.9.2
  (1,4) (2,3) (5,8) (6,7) (9,12) (10,11) (13,16) (14,15)
  (1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14)
  (1,8) (2,7) (3,6) (4,5) (9,16) (10,15) (11,14) (12,13)
  (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15)
  (1,11) (2,12) (3,9) (4,10) (5,16) (6,15) (7,14) (8,13)

Display number of generating vectors:

Displaying the unique representative of this refined passport up to braid equivalence.

  5.16-11.0.2-2-2-2-2.9.1

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