Properties

Label 5.16-14.0.2-2-2-2-2.23
Genus \(5\)
Quotient genus \(0\)
Group \(C_2^4\)
Signature \([ 0; 2, 2, 2, 2, 2 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

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: $2, 4, 6, 11, 14$

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.

5.16-14.0.2-2-2-2-2.23.1

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