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x.3 - y.3 - 4 = 0
x.4 - 3x.2 + 1 = 0 = ( x.2 - x - 1) ( x.2 + x - 1)
x.4 - x.3 - x - 1 = 0 = ( x.2 + 1 ) ( x.2 - x - 1