Two point sets are homometric if they yield the same distance set and are not rotations of

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Two point sets are homometric if they yield the same distance set and are not rotations of each other. The following distance set gives two distinct point sets: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 16, 17}. Find the two point sets.
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