Question: How to retrieve the coefficients of a transcedental equation?

Hello

Consider,  as an example,  the following (simple) transcendental equation. 

alpha*((epsilon-1)*x+y-3*x*z-epsilon/3*x^3+b*sin(w)+3)

How to retrieve the coefficients and the terms considering that the unknowns are x,y,z and w?   Something like [x,y,x*z,x^3,sin(w),1] and their coefficients.  

many thanks

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