Sixth-Degree Equation Solver

This tool computes all real and complex roots of a sixth-degree polynomial equation of the form \(\small{a x^6 + b x^5 + c x^4 + d x^3 + e x^2 + f x + g = 0}\), where the coefficients may be real or complex numbers.
Note 1: The coefficient \(a\) must be non-zero (\(a \ne 0\)).
Note 2: If a coefficient is a real number, enter its value in the first input box and set the second box to zero. If a coefficient is a complex number, write the real part in the first box and the imaginary part in the second box.
Coefficients
\(a=\) + \(i\)
\(b=\) + \(i\)
\(c=\) + \(i\)
\(d=\) + \(i\)
\(e=\) + \(i\)
\(f=\) + \(i\)
\(g=\) + \(i\)