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We give exact relations for a number of amplitude combinations that occur inthe study of self-avoiding walks, polygons and lattice trails. In particular,we elucidate the lattice-dependent factors which occur in those combinationswhich are otherwise universal, show how these are modified for orientedlattices, and give new results for amplitude ratios involving even moments ofthe area of polygons. We also survey numerical results for a wide range ofamplitudes on a number of oriented and regular lattices, and provide some newones.Comment: 20 pages, NI 92016, OUTP 92-54S, UCSBTH-92-5

Universal amplitude combinations for self-avoiding walks, polygons and trails