RESULTS

• POLYNOMIAL
  

  standard form	1 + 5x - 4x3
  array form	[1,5,0,-4]

• ROOTS (Complex ones occur in conjugate pairs.)
  

  real part	imaginary part	modulus	phase	irreducible factor
  -0.9999999999999999	0	0.9999999999999999	3.141592653589793	x + 0.9999999999999999
  -0.20710678118654754	0	0.20710678118654754	3.141592653589793	x + 0.20710678118654754
  1.2071067811865472	0	1.2071067811865472	0	x - 1.2071067811865472

• VALIDITY check of roots (All numbers should be small.)
  

  type	real part	imaginary part	modulus
  based on product of roots	-5.551115123125783e-17	0	5.551115123125783e-17
  based on sum of roots	-2.220446049250313e-16	0	2.220446049250313e-16
  sum of moduli of polynomial evaluated at each root	4.1147640850169864e-15