# Generate a monic polynomial with given complex roots in Python

To generate a monic polynomial with given complex roots, use the polynomial.polyfromroots() method in Python Numpy. The method returns the 1-D array of the polynomial’s coefficients If all the roots are real, then out is also real, otherwise it is complex. The parameter roots are the sequence containing the roots.

## Steps

At first, import the required libraries -

from numpy.polynomial import polynomial as P

Given complex roots −

j = complex(0,1)
print("Result...\n",P.polyfromroots((-j,j)))

Get the datatype −

print("\nType...\n",P.polyfromroots((-j, j)).dtype)


Get the shape −

print("\nShape...\n",P.polyfromroots((-j, j)).shape)

## Example

from numpy.polynomial import polynomial as P

# To generate a monic polynomial with given roots, use the polynomial.polyfromroots() method in Python Numpy.

# The method returns the 1-D array of the polynomial’s coefficients If all the roots are real, then out is also real, otherwise it is complex.

# The parameter roots are the sequence containing the roots.
j = complex(0,1)
print("Result...\n",P.polyfromroots((-j,j)))

# Get the datatype
print("\nType...\n",P.polyfromroots((-j, j)).dtype)

# Get the shape
print("\nShape...\n",P.polyfromroots((-j, j)).shape)

## Output

Result...
[1.+0.j 0.+0.j 1.+0.j]

Type...
complex128

Shape...
(3,)