(complex) root of unity

[Jon Higgins]

Hello salvomic,

Re, your post: "I need a program or routine to calculate all real and complex roots of any real or complex number, returned in a list or matrix..."

You might be interested in this solution for your problem that I stumbled across:

In CAS, For the fourth root of unity, use POLYROOT like this and enter unity as the complex number 1+0*i:

POLYROOT(X^4-(1+0*i))sto L1 .......(1)

Press “Enter”:

The results are in L1: (-1, -i, i, 1); scroll up and down to see them on the "contents" line.

In fact POLYROOT(X^n-1)sto L1 works for the case of n.th roots of unity.

For n.th roots of any complex number stored in a List, use the format above in (1).

Please see the attachment.

Note that I did try and implement this in a program, but I couldn't get it to work.

(I am new here and this is my first post!)