want python code

Implement the Barycentric Formula for evaluating the interpolating polynomial for arbitrarily distributed nodes Xo, ... , Xn. Write a function or script that computes the barycentric weights dj, j = 0,1,...,n, first and another code to use these values in the Barycentric Formula. (a) Test your implementation with a known polynomial. (b) Consider the data set: X; || 0.00 fi || 0.0000 | 0.25 0.7070 | 0.52 | 0.74 | 1.28 1.0000 0.7071 -0.7074 I 1.50 -1.0000 Use your code to find P5(2) as an approximation of f(2)