cyclo: solving cyclotomic equation by radicals
cyclo(n, recur=True):
solve cyclotomic equation by radicals
return n-th roots of unity (except 1)
[exp(2pi ij/n) for j=1,2,...,n-1]
if recur is True, q-th roots of unity (q<n) are
recursively replaced by radical expressions
reference:
J. P. Tignol
"Galois Theory of Algebraic Equations" chapter 12
example code:
from sympy.printing import print_latex
from cyclo import cyclo
z = cyclo(17)
print_latex(z[0]+z[-1]) # 2cos(2pi/17)
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