[omega],[*],[(N)/(omega)],[+],[E_(N)],[omega],[beta_(N)],[(N)/(omega)]

If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^(n),omega^(2n)],[omega^(n),omega^(2n),1],[omega^(2n), 1, omega^(n)]]

If 1 , omega , omega^2 are the cube roots of unity,then /_\=|[1,omega^n,omega^n],[omega^n,omega^(2n),1],[omega^(2n),1,omega^n]|

If 1, omega, omega^(2) are the cube roots of unity, then the value of |(1,omega^(n),omega^(2n)),(omega^(n),omega^(2n),1),(omega^(2n),1,omega^(n))| is equal to -

If 1,omega,omega^(2) are cube roots of unity, then |(1,omega^(n),omega^(2n)),(omega^(2n),1,omega^(n)),(omega^(n),omega^(2n),1)| has value

If 1, omega, omega^(2) are the cube roots of unity then Delta=|(1,omega^(n),omega^(2n)),(omega^(n),omega^(2n),1),(omega^(2n),1,omega^(n))|=

If n ne 3k and 1 , omega , omega ^(2) are the cube roots of units , then Delta =Delta=|(1,omega^(n),omega^(2n)),(omega^(2n),1,omega^(n)),(omega^(n),omega^(2n),1)| has the value

If n ne 3k and 1 , omega , omega ^(2) are the cube roots of units , then Delta =Delta=|(1,omega^(n),omega^(2n)),(omega^(2n),1,omega^(n)),(omega^(n),omega^(2n),1)| has the value

If 1.omega, omega^2 are the roots of unity, then Delta=|(1,omega^n,omega^(2n)),(omega^n,omega^(2n),1),(omega^(2n),1,omega^n)| is equal to