Can you help me with this in python?

4. Let Pv be the trigonometric polynomial of lowest order that interpolates the periodic array fj , j = 0, 1, ..., N-1 at the equidistributed nodes aj = j(27/N), j = 0, 1, ..., N- 1, i.e. N/2-1 PN(x) = + (ak cos kx + by sin kx) + ON/2 COS (7) k= 1 2 for r ( [0, 2x], where 2 N-1 ak = N f; coski; for k = 0, 1, ..., N/2 (8) j=0 bk = 2 N-1 N f, sinkx; for k = 1, ..., N/2- 1 (9) 1=0 Write a formula that relates the complex fourier coefficients computed by your fit package to the real Fourier coefficients, ax and be, that define PN(I). 5. Using your fit package and Prob. 4, find P:(x) on [0, 2x] for the following periodic array: fo = 6.000000000000000 f1 = 10.242640687119284 f2 = 2.000000000000000 $3 = -2.585786437626905 f = 2.000000000000000 fs = 1.757359312880716 6 = -6.000000000000000 f- = -5.414213562373098