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A set of new canonical variables for d=11 supergravity is proposed which renders the supersymmetry variations and the supersymmetry constraint polynomial. The construction is based on the SO(1,2) SO(16) invariant reformulation of d=11 supergravity given by Nicolai [Phys. Lett. 187B (1987) 316], and has some similarities with Ashtekar's reformulation of Einstein's theory. The new bosonic variables...