Properties

Label 11.16-13.0.2-2-4-4-4.6
Genus \(11\)
Quotient genus \(0\)
Group \(D_4:C_2\)
Signature \([ 0; 2, 2, 4, 4, 4 ]\)
Generating Vectors \(1\)

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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: $2, 5, 7, 8, 9$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.16-13.0.2-2-4-4-4.6.1

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