Properties

Label 5.16-14.0.2-2-2-2-2.5
Genus \(5\)
Quotient genus \(0\)
Group \(C_2^4\)
Signature \([ 0; 2, 2, 2, 2, 2 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_2^4$
Group identifier: $[16,14]$
Signature: $[ 0; 2, 2, 2, 2, 2 ]$
Conjugacy classes for this refined passport: $2, 3, 6, 9, 15$

Jacobian variety group algebra decomposition:$E\times E\times E\times E\times E$
Corresponding character(s): $8, 12, 14, 15, 16$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.16-14.0.2-2-2-2-2.5.1

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