Four data points, (0,1), (1,4), (2,2), and (3,3), were collected in an experiment. The DFT of [1, 4, 2, 3] is [5, - - i, -2, - +zi]. Let f (t) + 늑1. Let f (t) = a + b cos( nt) + c sin(÷ Tt) + d cos(at) be the trig interpolation function that passes through the four data points. What is the value of the coefficient d?

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