Interpolate a function with 60 of points

Hello everyone. I need to interpolate a set of 60 pairs of points associated to positions in the X axis and time. I have tried to use InterpolatingPolynomial[XMTimeM, x], but the result is a very long piecewise function. Is there another way to find the interpolating polynomial that offers a simpler way of doing this?

I need a relatively simple expression of the tipe aX^n+bX^(n-1)+… since I will then have to write it in another language.

I will attach my code in case someone can help me.

Thanks.
Jaime.

interpolate_this.nb (251 KB)

See attached file ,maybe helps.

interpolate_this-Ver2.nb (163 KB)

Indeed it does. Thank you very much