The sequence x[n] is a 128-point sequence (i.e., x[n] = 0 for n < 0 and for n > 127), and x[n] has at least one nonzero sample. The DTFT of x[n] is denoted X(ejω). What is the largest integer M such that it is possible for X(ej2πk/M) to be zero for all integer values of k? Construct an example for the maximal M that you have found.
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